diff --git "a/data/dm_maths/full_data/11203_11255.jsonl" "b/data/dm_maths/full_data/11203_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11203_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the smallest common multiple of 429 and 9?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 3*u + 9. Let r be v(-6). Suppose j - h = 3*h + r, 2*h + 6 = 0. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 9, 5*w - 4*z = -0*w - 12. Solve -3*u - 10 + 1 = w for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1382 - 12)*(3 + 7\/(-2)) is divided by 142?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-5) - (-342)\/(-1140). Sort s, 0.18, 2.\nAnswer: 0.18, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by 86.\nAnswer: 47\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 78665686543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, e: 2}. Give prob of sequence ee.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 2. Suppose -r*d + 6 = -6. Suppose -7*v + 40 = -d*v. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16401 and -0.24.\nAnswer: 3936.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 5*b = -4*q + 72, 3*q = -3*b + 57. Let c be (-7 + 4\/8)\/(3\/q). Which is smaller: -34 or c?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 700134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*z - 9*z = 52*z - 1841 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 417 + -415. Solve -o*h - l - 4*l = 24, 0 = -4*h + 4*l + 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/19 in 1\/5, -1, 0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.54 + 1.46. What is the third biggest value in y, -3\/16, 0.4?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 5 + 2. Suppose -5*i + 45 = 5*o, i + 3*o + z = -0*o. Calculate the greatest common divisor of 21 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lppp. What is prob of sequence lpp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1366 divided by 45.\nAnswer: 1366\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -401.2000002149 - -401.2. What is j rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.776922 to 3 decimal places.\nAnswer: -10.777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -84*l**4 + 3*l**3 + 1173*l**2 wrt l.\nAnswer: -2016*l + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/5)\/v)\/v*v\/((v**(-8)*v)\/v))\/(v\/v**(-2\/3))**(-40) assuming v is positive.\nAnswer: v**(1108\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 40022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -86*c**4\/23 + 174*c**3\/23 - 90*c**2\/23 + 2*c\/23 = 0.\nAnswer: 0, 1\/43, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/47853 and -58\/101023.\nAnswer: 909207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6986542 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*y = 300 - 8. Let o be 10\/(-3) + 8\/(-12). Put o, 0, -6, y in ascending order.\nAnswer: -6, o, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**6\/120 - k**5\/2 - k**4\/12 + 37*k**3\/3 - 2379*k**2. Determine u(30).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.7 + -10.72. Let f = x + -0.9. What is the fourth biggest value in 3, -1\/8, f, 0.2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10702621*h**6 + h**4 + 4644376*h**2 + h + 3 wrt h.\nAnswer: -1284314520*h**3 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.045233 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 4*r + 10 = -a, 3*a + 4*r = -6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -13563264 divided by 832\nAnswer: -16302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 183.2 - 182.8. What is the closest to 585 in -1\/4, -4, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -635316 * 2.4\nAnswer: -1524758.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 6) in base 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-2)*2 + (-36)\/12. Suppose 2*f + 5*w = 3*w + 2444, -1218 = -f - k*w. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 1:37 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (19230\/4 - 1)\/(17*(-8)\/(-1088)).\nAnswer: 2, 9613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 2*b + 97 = 0, n - 3*n - 35 = -3*b. Let l = n - -24. Let a = 267.2 + -267. What is the fourth biggest value in -2\/9, 0, a, l?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327*c - 52674 = -333*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - w - 1. Let f(g) = g**3 + 3*g**2 - 13*g + 4. Let p(j) = -5*d(j) + f(j). Let n be p(6). Round n to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 114\/(-18)*(-50)\/3325.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + -103031?\nAnswer: -103024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8161 is divided by 435.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -27108 divided by 552\nAnswer: -2259\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 + -38 - 4\/(-1). Is n greater than -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 234077, 234074, 234071, 234068?\nAnswer: 234065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 103394 plus -0.67?\nAnswer: 103393.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(3\/2)*k*k)\/(k*k*k**(-1\/7)))\/(k\/((k*k**(-2\/13)\/k)\/k)*k**(-2))*(k**(-1\/3)*k**6)\/(k*k**(-1\/2)\/k)**1 assuming k is positive.\nAnswer: k**(2363\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81 - 70. Let z = 12 + -6. What is the lowest common multiple of z and y?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*s**3*y + s**3 + 2*s**2*y - 8*y + 16 wrt s.\nAnswer: -39*s**2*y + 3*s**2 + 4*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -970134 != -970109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**4\/12 - g**3\/2 - 2*g**2 - 19*g + 2. What is y(-6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1115311, 2230635, 3345959, 4461283, 5576607, 6691931?\nAnswer: 7807255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 133818366?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -339, 0.051, -2\/9, -0.5, 11\/3, -2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (243\/(-54))\/(3\/(-6)). Suppose y*j - 68032 = -23*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/((-2058)\/(-1218))*(-3)\/12*2.\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*t + 882 = 19*t - 53*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5*d = 180, d + 1 + 2 = 0. Solve -5*a + 49 = j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.5 - 0.26. Let s = 2.7 + x. Which is the second biggest value? (a) -1 (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 24 = -4*y, 6*y + 15 = y. Let m be t*((-7)\/(-3) - 2). Solve -m + 2 = p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3\/6 - 173*s**2\/3 - 7622*s\/3 + 466796 = 0. What is s?\nAnswer: -206, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 850*f**2 - 6*f + 30. Is x(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vsaswvvssayasv. What is prob of sequence vaa?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 54632 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000793403 rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 5*d**2 + 2*d + 4. Is 8 a factor of t(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + -5 - -15) + -21 + -3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/37, -1\/56 in descending order.\nAnswer: 4, 1\/37, -1\/56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -19468*z. Let x(l) = -l. Give w(x(p)).\nAnswer: 19468*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c - 21. Let u(q) = q + 20. Let x(r) = -2*u(r) - 3*z(r). Let g be x(10). Calculate the highest common factor of 11 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*h - 90 = -36, b = -5*h - 6. Suppose -80 = -b*x + 5*x. Solve w = -0*n + 5*n + 10, -3*w + 5*n + x = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 1, -8\/65?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5 - 21 = 0. Let m(l) = -5*l - 4. Calculate the remainder when q is divided by m(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 9 - 3. Find the common denominator of 27\/l*8\/(-14) and -53\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -62*p**3 - 19*p**2\/2 + 6*p + 157. Find the second derivative of j(a) wrt a.\nAnswer: -372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*y - 1 = 3, -w = 4*y + 6. Suppose q - w = -5. Let c(v) = -84*v + 7. Is c(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 961.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347*t - 171*t + 80 - 27 - 61 - 171*t.\nAnswer: 5*t - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -134 (c) 2\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19648130 rounded to the nearest 100000?\nAnswer: 19600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.9 + -2. Let p = 35.8 + -31.8. Which is the biggest value? (a) 5 (b) d (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 199543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4661, -9346, -14031?\nAnswer: -18716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4147*w + 4142*w = -55. Solve w*h - 6 = 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a micrometer in nanometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1060, -5, -3 in increasing order.\nAnswer: -1060, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1177 - -5391. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8004447?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(((-48)\/(-21))\/(-2) - (-2880)\/4480)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.148 plus -3318235?\nAnswer: -3318225.852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 39.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 97567*y**3 + 19*y**2 - 5*y + 73 wrt y?\nAnswer: 585402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 6. Let t(c) = -c**2 + 1. Let m be t(a). Solve -4*l - 2 - 18 = m for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7696 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + -53*(-7 - -2). Let p = 10444 + -10420. Calculate the greatest common divisor of p and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.14 greater than or equal to 29602?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w - 82. Let q(y) = -3*y + 82. Calculate 3*q(b) + 4*v(b).\nAnswer: -b - 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(6\/(-17)) - (-110)\/(-165). Let m be (5 - -35)\/w*(-15)\/(-12). Solve -1 = 3*y - m for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7*(-24)\/(-112)*-6. Let c(r) = -r - 4. What is c(j)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -1 - 8. Suppose -4*m - q*f + 24 = -13*f, m - 6 = -2*f. Which is the nearest to 2\/7? (a) m (b) 5 (c) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 6*c**2 - 9*c - 11. Let s be v(-7). Differentiate -s*j**3 - 10*j**4 + 3*j**3 - 92 + 75 with respect to j.\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 8:10 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**3 + 55*x**2 + 10*x - 144. Let r be j(-18). Solve -2*m + 8 = -2*g, -m - 8*m - 3*g = r for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2074337 to the nearest ten thousand.\nAnswer: -2070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 86 = -2*h, 3*h + 3 = 6*h. Calculate the remainder when c is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 13)*1 - (-3)\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (3 + 3)) + -48 + 49\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(220)\/sqrt(5) + sqrt(11)*1*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.48248 rounded to two dps?\nAnswer: -1.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/3 + 57*x + 53460 = 0. Calculate x.\nAnswer: -324, 495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 16. Let m(w) = -7*w**2 + w**3 + 7*w + 0*w**2 - 5 + 0*w**3. Let i be m(t). Solve 2*k - 3 = i for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71263939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14958075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 26 + (15 - 0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(588)*-2 - sqrt(24)\/(sqrt(8)\/sqrt(4)))*-1)\/(sqrt(40)\/sqrt(160) + sqrt(12)\/(sqrt(3)*-3)).\nAnswer: -180*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/5427 and 121\/67482936?\nAnswer: 202448808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 3*w - 211. Let l be k(-13). Which is the closest to 1? (a) 0.2 (b) 2\/15 (c) l (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -7 + 14*x - 3 + 14*x - 2*x**3 - 11*x**2 + 34*x**2. Let w be o(18). What is the tens digit of -1 + -3 + 1 - w\/26?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1347 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 + 120*s + 3. Let l(m) = -12*m. Calculate p(l(n)).\nAnswer: -288*n**2 - 1440*n + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93807048?\nAnswer: 2, 3, 379, 10313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 870380, 1740765, 2611150?\n\"Answer: 870385*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(5)*5*3 + (-3 + 2*sqrt(80))**2.\nAnswer: -93*sqrt(5) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 511 and 0.5338714.\nAnswer: 511.5338714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 328262821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.7 - -9.2. Put 7, -4\/5, t, -4 in ascending order.\nAnswer: -4, -4\/5, t, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 143*k**7\/70 - k**5\/20 - 115*k**3 - 20*k**2 + 10. Differentiate z(s) with respect to s.\nAnswer: 1716*s**3 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 167 + -160. Solve 9 - n = 2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**3\/2 + 265050*b**2 + 7421841*b\/2 + 12988479 = 0. Calculate b.\nAnswer: -7, 176714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 11161.\nAnswer: 2\/11161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1205\/(-1446))\/((-6)\/(-4)*(-2)\/72)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -y - 12. Suppose -y = -i - i. Let t(f) = f + 4. Suppose 0 = -2*l + 4*l - 10. Let p(m) = -2. What is i*t(d) + l*p(d)?\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1822 - 1819.8765. What is t rounded to two decimal places?\nAnswer: 2.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -8*d**2 + d - 3. Let x be a(2). Let w = x - -53. Calculate the smallest common multiple of w and (-4)\/10 - (-104)\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56482 and 1426.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 11*l**2 + 15)*(-5*l - 2*l + 5*l) + (11*l + 14 - 14)*(2*l**2 - 4*l**2 + 3*l**2).\nAnswer: -11*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 13. Put x, 0.3, -0.1 in ascending order.\nAnswer: x, -0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -15.2?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 + 31.6. Let p = -2733 - -2722.01. Let i = 11 + p. Sort -2\/3, o, i in descending order.\nAnswer: i, o, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 50*a - 16. Let n(q) = q**2 + 59*q - 19. Let l(s) = 6*n(s) - 7*r(s). Let g(d) = -5*d + 0*d + d**2 + 5 - 3. What is 6*g(i) + 7*l(i)?\nAnswer: -i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -59*y**2 - 1. Let k(r) = -r**2. Calculate -3*k(i) - u(i).\nAnswer: 62*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 87*a**2 + 187*a + 201. Is q(89) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -11.6. Let r be -10 - -5 - (6 - 6)\/3. What is the nearest to -0.2 in b, -1\/8, r?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2237139270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (302\/6)\/((-11)\/(-33)). Suppose -101 = -6*h + k. What are the prime factors of h?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -55428701\nAnswer: 5\/55428701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1131132322 (base 4) to base 5\nAnswer: 44223111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 2*b**2 + 11. What is the units digit of y(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**3 + 25*t**2 + 20*t - 78. Let g be s(13). Solve 54*p - 3*k = 50*p + g, 3 = -k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 70394*g - 1055973. Calculate x(15).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.7 - -12.818. Let f = q - -15.682. What is f rounded to 0 dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 119318 - 60975. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 7.37033 rounded to two dps?\nAnswer: 7.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*f + 21 - 1 - 17 - 3.\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2129490?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 + 48 - 1296 - 361 + 52.\nAnswer: -2*c**2 - 1557","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(392) - (sqrt(392)*-2 + sqrt(392)))*2)\/(sqrt(72) + 2*sqrt(72) + sqrt(8)))\/(sqrt(1008)*-1 + (sqrt(7) - (sqrt(1008) + -3*sqrt(1008)) - sqrt(7))).\nAnswer: sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**6 - 13410264*g**5 - 22570092*g**2 wrt g.\nAnswer: 240*g**3 - 804615840*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.89 + -0.11. Let y = 13 + i. Let t = y - 1. Which is the smallest value? (a) 1\/5 (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381*i + 21272 = 389*i. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5069300910 to the nearest 1000000.\nAnswer: 5069000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 + 30*i**2 + 36*i - 37. Let v be p(16). Solve -39 + v = -6*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**4\/12 - 17*g**3\/9 + 40*g**2\/3 - 64*g\/3 - 20. Find k, given that h(k) = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24776 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -65, -65, -65, -71, -89, -125?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = 1500 - 444. Let i be 3 - 7 - (172\/d + -3). Which is the biggest value? (a) 2\/11 (b) i (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*q = -13, 0 = -5*h - 2*q - 0*q + 30. Solve -2 + h = d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*o**2 + 533*o**2 + 393*o**2.\nAnswer: 1063*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -6 + (7 - 3) + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w + 5. Let o(z) = -4*z. Let d be o(-6). Let f = d + -15. What is the lowest common multiple of x(6) and f?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 281ac (base 16) to base 2.\nAnswer: 101000000110101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -584 - -822. Let z = -233 + d. Which is the smallest value? (a) z (b) -2\/161 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - (-5)\/(-30)*-26. Let m(u) be the second derivative of -9*u - x*u**3 + 0*u**2 + 0. Let q(c) = 10*c. Calculate m(q(l)).\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b496 - 4e?\nAnswer: 1b448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28.978 + -0.022. Let y = 28.9999916 + b. What is y rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**5\/10 + 5*h**4\/8 - 19*h**3\/6 + 16*h**2. Is y(18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j - 8. Let z be g(-11). Suppose 0 = z*k + 3*k - 360. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 985931243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1389?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -432 - -2275. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (132\/32)\/(9\/(-410)). Let p = h - -833\/4. Find the common denominator of -1 - -16*2\/7 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 divided by 7944?\nAnswer: -55\/7944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 6*a**3 - 2*a**2 - 3*a. Let q be k(-1). Suppose 3 = -l + 7. Let c be l*(-5)\/6*(-189)\/(-90). Sort 2, -1, q, c.\nAnswer: c, q, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdcc when four letters picked without replacement from {d: 3, m: 6, c: 6}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 138\/(-30) + (-4)\/10. Let f = z + 8. Let x be (10\/15)\/(2\/(-15)). Sort x, f, -1.\nAnswer: x, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 6. Let f be b\/(-9) - 1303\/3. What are the prime factors of f\/(-21) - (-2)\/6?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -658 - -660. Let y(g) = g**3 + 6*g**2 + 3*g - 6. Let q be y(-5). Suppose 2*x = -n*x + 5*t + q, -12 = -4*x + 3*t. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(5\/(-10) + 9\/(-2)). What is the greatest common factor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 h when two letters picked without replacement from {h: 1, u: 1, z: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-5*y**4 - 3 + 3).\nAnswer: 5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 17. Suppose -2134 = -2*d - 4*t, 2*d - r*d + 4313 = -t. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*b**2 + 21*b**2 + 5*b**2 + 55*b**2 + 27*b**2.\nAnswer: 46*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 12) in base 9?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 24*c - 54. Let v(x) = -24*x + 53. Let p(l) = -5*u(l) - 6*v(l). What is the first derivative of p(r) wrt r?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + s + 55 = 0, x = -3*x - s + 65. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-6 - 60\/(-18)))\/(-2).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -10*y**2 - 732*y - 5121. Determine t(-7).\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*q - 89*q = -4545. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 2*z**2 + 2*z)*(2 - 9 + 1 + (-4 + 2 + 4)*(2 - 2 - 2) - 6 + 2 + 5)*(-1 + 4 - 5).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -5) + -2 - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -198\/57907 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 29 = 2*t. Find the second derivative of 31*o**3 - 30*o - 10*o**3 - 14*o**t wrt o.\nAnswer: 42*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2949103 and -1.26?\nAnswer: -0.371586978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006733 to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/8*(-56)\/5166?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4276909737 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36366.36kg to grams.\nAnswer: 36366360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17522*b**3 + 17421*b**3 - 34942*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7972634.\nAnswer: 2, 587, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, n: 5, o: 3}. What is prob of picking 1 z and 1 n?\nAnswer: 25\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -394\/53 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/2)\/i*i)**(-2\/17)\/((i**9\/i)\/i*i**(-9)) assuming i is positive.\nAnswer: i**(31\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 143 and 1933152.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/2*(5 + 44\/(-8)). Let p(x) = -149*x + 2. List the prime factors of p(d).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 21 + (-3 - 7) + 3 + -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 9 = 0, -2*k - 59 = -5*h - 18. Suppose h = z - 4. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2117260 minus -1?\nAnswer: 2117261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -22404622 and -138979.\nAnswer: -22543601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 682546 is divided by 341259?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -384607.081 rounded to the nearest 10000?\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from drvvojzdjzoo.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*q = 361*q - 532 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-249)\/10375*-75)\/((-6)\/(-40))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -807 + 4043\/5. Factor q - 2\/5*v**2 + 6\/5*v.\nAnswer: -2*(v - 4)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 43*j + 7. Let s be i(3). Does 17 divide -3*(-5)\/30*s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302*g - 107650 = 592*g - 300*g. What is the remainder when g is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6826661*y**2 + 7964703.\nAnswer: 13653322*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**2 - 245865976*b - 3778129884652036 = 0. Calculate b.\nAnswer: -30733247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 2*(-5)\/(-10). Suppose f = -d + 4*m - 6, 3*m - 32 = -4*d. Calculate the remainder when 42 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1852.\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4211007 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-266920.68.\nAnswer: 53384.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1384290 and 405?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18540 and 1481140.\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 3*i - 4*i)*(-70*i + 19*i**3 + 70*i) + 14 - 2*i - 31 + 2*i**4 + 16 - 6*i**2.\nAnswer: -36*i**4 - 6*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 35697112 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 3 (b) 6\/5 (c) -1.45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5632 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 132 - 774?\nAnswer: -642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8, 4, 5, -3 in descending order.\nAnswer: 5, 4, 3, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 2988.\nAnswer: -1\/996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/((-16)\/4))\/(4\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45557.\nAnswer: 45557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -1\/42*v**4 + 2*v + 2\/21*v**3 + 0 + 0*v**2. Factor q(o).\nAnswer: -2*o*(o - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 16 - 8\/(-4). Calculate the greatest common divisor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 1. Let y be x(-3). Let s = -1 + y. Solve -20 = s*c + c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/117562 and 22\/6835.\nAnswer: 587810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4695*c**2 + 4705*c + 10 = 0.\nAnswer: -1, -2\/939","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -517, -1476, -2613, -3916, -5373, -6972?\nAnswer: -8701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27540395269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*j + 5 = -27*j, 4*g - 5*j - 3 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(9\/(-15))*(-21)\/(-70)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1342 - -115?\nAnswer: 1460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2921816 to 4 decimal places.\nAnswer: 0.2922","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38610 a multiple of 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*o + 14 + 8, 3*m + 11 = o. Let a(n) = -5*n - 2. Let q be a(-3). Suppose 4*x = 19 + q. Calculate the least common multiple of o and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 878429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1309501426 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2179, 5, -3, 1105, -5 in ascending order.\nAnswer: -2179, -5, -3, 5, 1105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -7*q**2 + 2*q + 100800000. Let p be m(0). What is p rounded to the nearest one million?\nAnswer: 101000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-5 + 5 + 2*a) + 0 + 0 - 2*a - 3*a - a + 3*a + 2*a + 3*a + 6*a - 3*a - 2*a + 4*a + 5*a - a - a + (-a + 5*a - 2*a)*(-4 + 4 + 2).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13341\/(-4)*4\/(-3). Round i to the nearest 100.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 21. Let x = j + 5. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6371*v - 4435*v - 180825 = -2071*v + 500505 for v.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(288\/200) - (-32)\/(-12).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 930 = 4*i - 2*p, 4 = 4*p - 8. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**2 + 17*b - 15. Calculate g(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6108 and 11568?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150, 151, 152, 153?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -836 + 1671 - 13*d**3 - 835 - 11*d**3.\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 51*f**2 - 4*f**3 - 76*f**2 + 240*f**2 - 57*f**2 - 58*f**2 - 8*f - f**4 in the form t*f**2 + z + v*f**4 + m*f**3 + w*f and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/6)\/((-6)\/(-10359)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1863 by 3.\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w + 6 - 6 - 21 + 21 + 5*w + (w - 2*w + 0*w)*(1 + 2 - 5) + (-6*w - 2*w - w)*(-3 + 3 - 3).\nAnswer: 30*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-15))\/((-6)\/20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*z + 7*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.56 and -1.74?\nAnswer: -4.4544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 462157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 10*f**2 + 17. Let o(q) = -1265*q - 15. Let x(s) = -84*s - 1. Let n(r) = -o(r) + 15*x(r). Give n(g(w)).\nAnswer: 50*w**2 + 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 i when two letters picked without replacement from wwiqwqpwqwii.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2. Let o = 24 + -20. Let q(c) be the second derivative of 0 - 1\/2*c**o - 2*c + 0*c**3 + 0*c**2. Give u(q(r)).\nAnswer: -36*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 89759.1, 0.1, 1\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 173679 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/4 - 395*h\/4 - 597\/2.\nAnswer: (h - 398)*(h + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**5\/60 - 3*u**4\/8 + 4*u**3\/3 + 2*u**2. Let w be v(8). Suppose w*c = -2*c + 4. Solve t = 5 - c for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -3, -765, 0.3, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236202.\nAnswer: 2, 3, 39367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 9 (b) 24 (c) 0 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -575 times 0.2\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*893\nAnswer: -8.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17019420 and 43335?\nAnswer: 1605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 2, 11\/10, -2\/15, -0.3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*r = -38*r + 1965. Suppose -57*m + 56*m + r = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 8 + 28 = 0. Let c(j) be the first derivative of -j**2 + 3*j + 3. List the prime factors of c(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 1:41 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -6 + 1 - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(4*m**2 - 2*m**2 - m**2)*(0 + 0 + 1) - 4*m**2 + 10*m**2 - 3*m**2 + (m - m + 2*m)*(1 - 1 + 2*m) + (-m + 0 + 0)*(5 + 6*m - 5).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -820*0.2\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -90 - 5?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 456 and 3097.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 0.0928, -4, 39, 2\/7?\nAnswer: 0.0928","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2822942 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - 27. What is the third derivative of 0*n**3 + 3*n**2 - 29*n**m + 2*n**3 - 3*n**3 wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/5020 and 11\/1345862.\nAnswer: 13458620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 47449909111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 8*q + 15. Let s be c(3). Solve 20 = 5*y - 0*y, s = 2*w - 5*y + 30 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -331924 - 3*n + 322853 - 8*n + 9*n to l + h*n and give l.\nAnswer: -9071","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 63 - 51. Suppose 2*b = -2*k + 304, k - z*k = -12. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/183 (b) -5 (c) 2.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2941 + -2828. Solve 111*z - 4 = w*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and 0.7.\nAnswer: -9.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 36660805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31101*f**2 - 31099*f**2 + 62303*f**2.\nAnswer: 103*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -846 - -845.92. Let f = 5 + -4.72. Let j = f + l. Which is the nearest to -0.3? (a) 0.4 (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 112*y**2 - 4*y + 1. Let u be h(1). Let p = u + -106. Solve 0 = p*f + 9 - 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 285490 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -i - 21, 2*i = 4*a - i + 13. Suppose 0 = 2*y - 4*j - 412, -2293*y + 437 = -2291*y + j. Let n = y + a. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2964 is divided by 957.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 690 and 19519686.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (2\/(-32)*22 - -3)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + (-26)\/(-6))*(-184)\/736. Which is the fourth biggest value? (a) 0.2 (b) -1\/5 (c) w (d) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15277403.99946 - -15277268. Let b = i - -136. Round b to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 240 + 16. Suppose -2*t = 4*s + 2*t - z, 2*t - 20 = -5*s. Let 2*d**3 + 6\/5*d**2 - 8\/5*d**4 + 2\/5 - s*d = 0. Calculate d.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -7*z**2 + 3*z + 4. Let i(n) = 12*n**2 - 7*n - 9. Let m(x) = -4*i(x) - 10*s(x). Find the second derivative of m(r) wrt r.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46495053977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*n + 153 + 333. Calculate the remainder when 4589 is divided by n.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -1088*l - 737. What is the hundreds digit of c(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/34 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*u - 677 = -63 + 912 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 99 - -425. Suppose -14*i + h = -10*i. List the prime factors of i.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*t + 0 + 11 = 0, -5*t - 19 = 2*d. Let n be d\/6 + (-2602)\/(-240). Let a = 1\/120 - n. What is the common denominator of -35\/12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (35\/(-4))\/((-2)\/(-8))*-3. Calculate the highest common factor of i and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103015 = -810*w + 534*w - 1597*w for w.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 5 (b) 3 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(396) + (sqrt(396)*2*1 - sqrt(396))**2) - ((sqrt(396) + 4*(sqrt(396) + -1))**2 - (sqrt(396) + (sqrt(396)*2 + sqrt(396))*2 + sqrt(396))**2).\nAnswer: 276*sqrt(11) + 17804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 12*z. Suppose -5*g + 74 = 2*w, -2*g + 2*w = 7*w - 17. Let u(i) = -g*i + 16*i + 2*i**2. Give u(v(s)).\nAnswer: 288*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((220\/12)\/11)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -5. Let x = -0.65 + 0.25. Sort t, x, -0.1 in increasing order.\nAnswer: t, x, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/7*q**5 - 20\/7*q**2 + 12\/7*q**3 - 6*q - 18\/7 + 6\/7*q**4 = 0 for q.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.94053ml in litres?\nAnswer: 0.02394053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -14*q - 109. What is p(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aad when three letters picked without replacement from {d: 2, a: 6}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33725, 134910, 303553, 539654?\nAnswer: 843213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence anka when four letters picked without replacement from {k: 3, o: 1, a: 1, n: 11, l: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 403 + -355. Calculate the greatest common divisor of 216 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - j**2 - j + 64. Let d(i) = i**3 + 3*i - 370. Give -d(g) - 3*k(g).\nAnswer: 2*g**3 + 3*g**2 + 178","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -3*s**6\/2 + 3*s**4\/4 - s**3\/3 + 430*s**2 + 593. Find the third derivative of t(c) wrt c.\nAnswer: -540*c**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96606052 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: What is the closest to -4.1 in -2, 4, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1415827574 to the nearest integer?\nAnswer: 37627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 0)*((1 - 2 + 3)*(-2*y - 3*y + 3*y) - 6*y - 41 + 41).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**4 - 237*u**3 + 4779*u**2 - 3159*u - 27378 = 0. Calculate u.\nAnswer: -2, 3, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 621 and 345?\nAnswer: 3105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 197\/400530 and -71\/2803710.\nAnswer: 2803710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 + -23. Let m = -17.9 + i. Which is the nearest to m? (a) -2 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5983230 and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -2\/3*y**3 + 2*y + 0 + 0*y**2 + 1\/6*y**4. Let i be a(4). Calculate the greatest common divisor of i and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 - ((-24)\/(-6) - 7). Let l(m) = m - 1. Let u(i) = 6*i - 3. Calculate y*l(z) - 3*u(z).\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 11.12. Let q = w + -5.12. Let y = q + 4. Put 1\/4, y, -2 in decreasing order.\nAnswer: 1\/4, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -151 - -151.1. Let f(q) = -q**2 - 6*q - 5. Let w be f(-5). Which is the nearest to k? (a) -3 (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 76376 and 76473 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a8fb - e?\nAnswer: a8ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + 35\/(-21))*51. Suppose -2*f - 5*m - 4 + 16 = 0, 0 = -5*f - 4*m + 30. Suppose -k = -f*k + 340. What is the greatest common factor of k and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/5 + 2880\/75?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10670100 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c**3 + 12*c**2 - 20*c + 7. Let x be q(2). Solve 4*w + 4*j = 32, -5*w + 19 = -x*j + 45*j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*d = -3*c + 12, -3*d - c = -4. Suppose d = -k + 2*m + 23, k = 2*k - 5*m - 26. Let o = k + 3. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/9)*c)**(-29\/2) assuming c is positive.\nAnswer: c**(-319\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f + 2. Let g(l) = l**3 + 4*l**2 + 4*l. Let x be g(-3). Let q be 0 + -1 + 7 + -11. Let p(z) = 7*z - 4. Determine q*m(t) + x*p(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 954925 is divided by 377?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 22 = -18. Let g(c) = c - 5. Let v be g(6). Solve -y*f = -v + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 6. Suppose -5*w + 4*y = -4, 3*w + 2*y + 4 = 6*w. Suppose -w*a + a = -12, -q*a = -2*t + 32. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + m - 1. Let w(p) = -p - 5. Let q be w(-7). Let f(x) = -x + 1. What is q*k(l) + 2*f(l)?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1089112815*j**4 - 51528427*j + 2 wrt j?\nAnswer: 13069353780*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -1, 108, -9?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 195 = -43*z. Suppose -4*o + g = -10, 20 = 5*o - z*g - 0*g. Solve -16 = o*q + 3*d - 0*d, -q + d = 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 9*f**3 + f**2 - f. Let m(x) = 18*x**3 + 2*x**2 - 2*x. What is 3*m(l) - 5*w(l)?\nAnswer: 9*l**3 + l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 8:00 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 6*q + 10. Let p be 1 - (-2)\/(q\/(-7)). Let o be p\/(-30) + 12\/30. What is the nearest to 0 in 0, o, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2774289828 a multiple of 3794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62705 and 95.\nAnswer: 1191395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -12*x - 80. Let n be k(-7). Is (5 - -2)\/(n\/1516) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - x + 26. Calculate the smallest common multiple of x and 18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**2 + 2*v + 16988. Let j be t(0). Suppose -70 = -6*b + j. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -6*q - 40. Is 4\/q*26\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2839461?\nAnswer: 3, 946487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65266 is divided by 9319.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/12)\/(38\/57)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -103*s. Let d(o) = -6*o - 2. Give d(l(q)).\nAnswer: 618*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**5\/3 - 5*q**4\/3 + 14*q**3 - 76*q**2\/3 + 40*q\/3 = 0.\nAnswer: -10, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12d (base 15) in base 4?\nAnswer: -10030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u. Suppose 3*k = -2*k + 15. Let w(n) = -4*n**2. Let d(j) = -8*j**2 - 4*j**2 + 7*j**2. Let c(b) = k*d(b) - 4*w(b). Determine c(o(t)).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f**2 + 20*f + 50*f + f**2 + 5*f**2 - 12*f**2 as k + i*f**2 + w*f and give w.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 27*f + 242. Let c be x(7). Solve 10 = 5*y - c*s - 21, -3*y + 1 = 2*s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, u: 4}. Give prob of picking 2 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -36 - 92*z + 36 + 111*z. Let v(w) = 12*w**2. What is v(m(h))?\nAnswer: 4332*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 585343 is divided by 3327.\nAnswer: 3118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85026896?\nAnswer: 2, 73, 72797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*-3 + 9\/3. Let k(d) = -d**2 + 61. Is k(g) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 q, and 1 r when three letters picked without replacement from qqqrtrttttxstx.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12702 - -7145?\nAnswer: 20847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -323 - -322. What is the closest to -1 in 8\/7, g, -2\/13?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.026 less than -0.084?\nAnswer: -35.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 396907.\nAnswer: 1587628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.05, -17236, 15, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 154 and 11186.\nAnswer: 123046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*u - 3*l + 34, -u = 3*l - 18. Calculate the remainder when ((-6)\/(-10))\/((-29)\/(-290)) is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/35*-20*(-9)\/(9\/(-1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 320 + 155*m - 118 + 96 with respect to m.\nAnswer: 155","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -246, -359, -472?\n\"Answer: -113*z - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11652 - 11652.27. What is the closest to -0.2 in 12, t, 2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*g**2 - 2)*(2464*g**3 + 86 - 175 + 81 - 2504*g**3).\nAnswer: -120*g**5 - 24*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dpdwgoddddooggo. What is prob of sequence dddg?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3913 + 3917. Let v be (-14)\/(-2)*150\/35. Suppose 6*b - 3*s = b + 25, -4*s - v = -5*b. Which is greater: b or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -29332770 = -94*o + 2*o - 22*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43107*l - 2*l**2 + 5*l**2 + 43107*l + 34 - 5*l**2.\nAnswer: -2*l**2 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17150432951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 7*m**2 - 9*m - 12. Let b be k(-8). Let c be (3\/(-6))\/((-6)\/b). Let w = 19\/5 + -18\/5. What is the third smallest value in -0.5, c, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 588, 437, 178, -195, -688, -1307?\nAnswer: -2058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*j - 1388 + 6804 = 0, -3*o + 4*j + 4031 = 0. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 28*f + 1089. Give u(-39).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 495539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/((-585)\/(-182))*-3*(-10)\/((-20)\/3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 48 = -76 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -835.\nAnswer: -7\/835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-12)*i*i\/(i*i**(-1\/5))*(i*(i*i**2\/i)\/i)**(-1\/8) assuming i is positive.\nAnswer: i**(-221\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuupuuuuuuuuu. Give prob of sequence uuu.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*a - 21. Let j = -2 + a. Let f = j - -16. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oq when two letters picked without replacement from {d: 1, x: 1, p: 8, o: 4, c: 1, q: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1264, 2403, 3544, 4687, 5832, 6979, 8128?\n\"Answer: v**2 + 1136*v + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/10472 and 57\/476.\nAnswer: 10472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*b - 173*b = 2435. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31289499 and 2070?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17998 is divided by 530?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 243874 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*s + 37*s + 18 = 0. Solve 0 = -s*q - 31 + 29 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 85492879?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2 = -3*a - 5*b, 4*a = 4*b + 16. Put -4, a, -1 in increasing order.\nAnswer: -4, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - 3*s. Let p(d) = -3*d + d + s*d - 2*d. Let a(i) = 9*i**2 - 17*i. Let c(h) = -3*h**2 + 6*h. Let q(j) = -6*a(j) - 17*c(j). What is p(q(v))?\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109089 by -93.\nAnswer: -1173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -4. Let f be (x - 1\/(-1))*2. Let s be -2*f*90\/(-8). Calculate the highest common divisor of s and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (33\/18 + -2)*1712\/(-6). Let b = m - 1213\/18. Find the common denominator of b and -95\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (1 - 9 - 1)) + (-2675 - -2673)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4930606 - -0.02.\nAnswer: 4930606.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*d + 7 = g, -3*d = 0. Suppose -2*t + g - 1 = 0. Let p(z) = z**3 - 2*z**2 - 3*z - 3. Determine p(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, p: 3, d: 6}. What is prob of sequence dd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 0 + 3 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*p + 698 + 283, 3*n + 2*p = -1491. Let j = -493 - n. Suppose 94\/5*s**j + 16\/5 - 92\/5*s - 18\/5*s**3 = 0. What is s?\nAnswer: 2\/9, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441 is divided by 6 - (6 + -5)\/(11\/(-121))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**2 + 4*k + 3. Let n(o) = 17*o**2 - 7*o + 1. Let c(q) = -4*q**2 + 2*q. Let i(j) = 4*c(j) + n(j). Determine 3*i(w) - l(w).\nAnswer: -w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -45*y + 353. What is the remainder when r(4) is divided by 49?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/11431 and -25\/98?\nAnswer: 160034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 51277456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 2*g - 3*g)*(g + g - 3*g) + (0 + 0 - g)*(-2*g - 2*g + 6*g) - 2*g**2 - 5*g**2 + 5*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a kilogram in grams?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 62.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 - 7*i - 331. Give k(18).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -45, -97, -169, -261, -373?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 79*j**2 - 3020*j - 121891. Give v(-62).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2594 - -0.1594. Suppose 3*j = 4*j. What is the second biggest value in -1, j, 3\/5, z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-95) + -1 + 1.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 8 = 5*g - 32, -g + 5*b - 10 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43441293 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/10 - (-2114)\/(-70). Is 4 a factor of ((-24)\/m)\/((-1)\/(-45))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*a + k, 4*a + 27 = -5*k + 6. Let r be 4524\/(-72) + a\/(-6). Find the common denominator of 1\/1 + r\/(-36) and 109\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 4*b - 2*k - 58, 0 = 4*b - k - 63. Suppose -4*w + b + 43 = 0. Let u be 3 + 2 + 0 + w. Solve 0 = -0*t + 4*t - u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 880 and 11287408.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 54\/6 + 2 - (5 + -1). Let a(u) = -t*u - 7 - 7 - 8*u. What is the remainder when a(-6) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19627 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c - 42. Let v(q) = 16*q + 140. Let u(x) = -10*o(x) - 3*v(x). Let t(w) = 17*w + 6. What is t(u(f))?\nAnswer: 34*f + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 12:02 AM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/45*-3)\/(17 - (-630)\/(-50)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 529861121?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 6*y**2 + 8*y + 7. Let z be t(-7). Let b(v) = -v**2 - v - 6. Let u be b(z). Round u to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*l = 10, 2 = -11*z + 12*z + 2*l. Let n(i) = -23*i + 2. Calculate n(z).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*x - 10 = 103*x. Suppose 0 = -q + 5*g + 575, -7*g - 1105 = -x*q - 6*g. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 4. Let b(q) = -q + 4. Determine 4*b(o) - 3*g(o).\nAnswer: -o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000000101 (base 2) to base 12.\nAnswer: -371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.03, -12, 1\/4, -3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8670700 and 8?\nAnswer: 17341400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 742488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2907 rounded to the nearest 100?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*z - 29, -3*z = -0*z - 5*x + 22. Suppose 4*q + 4*r = -0*q + 28, z = r. What is the third derivative of -4*k**2 + k**2 + 3*k**q - 2*k**6 wrt k?\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 15 = 2*o - 9, -5*m - 15 = 4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 26?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 2*m - 6. Let k be p(-5). Let r = -24 + k. Suppose r*v + 4*y = y + 135, 5*v - 135 = -y. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, h: 5, a: 2}. Give prob of picking 1 h and 1 a.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 7:10 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/176)\/((-1)\/2). What is the second biggest value in 5, -1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4080)\/238)\/(-60)*1\/((-1)\/14)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gcbbccggbggbgc. What is prob of picking 1 g, 2 c, and 1 b?\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73 - 85. Let t be 2 - 0*2\/a. Let o(v) = -4*v**2 + 2*v - 2. Let s(l) = 20*l**2 - 11*l + 11. Determine t*s(z) + 11*o(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 22. Let a = 93 + -89. What is the closest to -1 in a, 6, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -1\/5 (c) -4\/13 (d) 7 (e) 50 (f) 526\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6411 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 2*t**2 + 4*t - 2. Let o(p) = -3*p**3 + 3*p**2 + 9*p - 4. Let s(r) = 5*c(r) - 2*o(r). Let x be s(-4). Let q = x + 15. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 6*f - 5. Let p be j(7). Suppose 160 = p*u - 48. Suppose 0 = o - 5*o + u. What is the remainder when o is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 5 = -15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*c = -40*c + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/3 - 3)*4. Let y be (-15 - -3)*(-1)\/2. Suppose -b = -2*d + y. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 2 - 1. Let b be 1 + 2 + (-6)\/g. Which is smaller: -1\/7 or b?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -137*j + 30489 - 30489. Let m(b) = b. What is w(m(x))?\nAnswer: -137*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/104*4*-4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 59*w**3 + 6*w**2 + 6. Let z = -11203 - -11138. Let r(f) = -650*f**3 - 65*f**2 - 65. What is z*g(n) - 6*r(n)?\nAnswer: 65*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*h - 3, -12 = -2*w + 2*h. Suppose 2*p = w*p - 100. Suppose -5*x + 17 = s - 0*x, -4*s + 4*x + p = 0. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32202720?\nAnswer: 2, 3, 5, 11, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/3, 4, 37, 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 11. Determine v so that 3*v**3 + 3 - 11*v + 9*v**s - 3*v**4 + 3 - 4*v = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyrybnyyyy. What is prob of sequence by?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70 + -28. Suppose 20*d - 15*d + 70 = 0. Let r = j + d. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a millennium in months?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.2*8123102\nAnswer: 9747722.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -29 (b) 5 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qktk when four letters picked without replacement from kkktq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 155*y + 35. Let g(n) = 217*n + 49. Let r(v) = 12*g(v) - 17*s(v). Give r(5).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 238167 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 769119, 769116, 769107, 769092, 769071?\nAnswer: 769044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 221 + -40?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504 - 3\/4*k**3 - 48*k + 33\/2*k**2 = 0.\nAnswer: -4, 12, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/2 - 8 - ((-11 - -13) + -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/11 + 363122132*x\/11 + 16482210343528178\/11.\nAnswer: 2*(x + 90780533)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -38\/3? (a) -2\/21 (b) -0.1 (c) 3.3 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*v, 2*q = 5*q + 5*v + 10. Let g be (2\/6)\/(q\/15). Suppose 13 = 4*l + g. Solve 2*b = -5*d - 0*d - 7, l*b = -5*d - 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34\/7 + -142\/35. Let x = 8 + -10. Let q = 7 + -10. Which is the nearest to 0? (a) q (b) h (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 715534 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.157 + 11.627. Let o = f - 12.2. Let z = o - -1.7169. Round z to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01 - -4.01. Let d = 41 - -32. Let l = d - 655\/9. Which is the nearest to l? (a) h (b) 3\/4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by -7325341.\nAnswer: 27\/7325341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6*(7\/6 + -1)*(-1820)\/(-70)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1848 in 0, -5, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, l: 11}. Give prob of picking 3 l.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1*117 - 0)*(-42)\/(-63). Let h be 33\/(-55) - k\/5. Let l = -11 + h. Solve l = 2*q + z - 1, -4*q + 4*z + 16 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4\/2 + 27*a**3 - 249*a**2\/2 + 98*a = 0 for a.\nAnswer: 0, 1, 4, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -40785?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*d - 2*s - 27, -d + 4*s - 2 = 0. Let z(j) = 6*j - 28. List the prime factors of z(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, y: 4, i: 7}. Give prob of picking 1 k and 1 i.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15356206 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (81 - 46) + -20 + -48\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*k**4 + 5*k**3 + 5*k**2 + 2*k - 1841?\nAnswer: 36*k**2 + 30*k + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 m, and 1 v when three letters picked without replacement from {f: 2, b: 1, m: 2, q: 1, t: 1, v: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1240 and 11470.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14.9 - 21.05. Let g = 6 + c. Let w = -0.022 + g. What is w rounded to two decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + p)*(2 - p - 2) + (2*p**2 - 3*p + 3*p)*(4 + 2 - 4) - 3 + 2*p**2 + 3 to s*p**2 + u*p + r and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 z when four letters picked without replacement from {r: 1, z: 7, e: 3, m: 4, i: 2}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3583 in 0, -0.33, -3\/5, -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12886 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {m: 3, f: 12}?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 f, and 1 v when three letters picked without replacement from teteetfzlvzeztzfeezt.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 17*q + 70. Determine o(17).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -640360.\nAnswer: -640363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32974?\nAnswer: 2, 16487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 229722, 459429, 689136, 918843?\n\"Answer: 229707*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.3188 - -0.2388. What is m rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**3 + 5*m**3 - 2*m**5 + (-2*m**4 + m**4 + 2*m**4)*(-m + m - 3*m) + 2*m**5 + 3*m**4 - 3*m**4 + 3*m**5 + m**5 - 6*m**5.\nAnswer: -5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 12.9. Let v = f + 0.4. What is the fourth biggest value in v, 3, 2\/15, -0.06?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((286\/715)\/(24\/(-70)))\/(-1).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4673.75 to the nearest 100.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 + (1 - (-2 - -1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -815818\/483 and -1688 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 0.18, -127.54, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 7*y - 2*y. Let r(k) = y*k - 12*k - 1 + 0*k. Determine r(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*c - 28, 5*r - r = -4. Suppose -3*x - 2*z + 5 = -2*x, -2*x = -c*z + 17. Put 3, x, -16 in descending order.\nAnswer: 3, x, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-1\/5)\/z)\/(z**(-1\/3)*z*z))\/(z**(-1))**2)\/((z\/z**8)\/(z\/(z**(-8)\/z*z))*(z**(-1\/4))**21) assuming z is positive.\nAnswer: z**(1223\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 42 = z. Let n be 12\/(z - 0)*4. What is the nearest to -2 in 0.4, -4, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -7 - -11 - 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/8*492\/24 and 73\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/84 and 41\/296424.\nAnswer: 2074968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9077.286 millilitres in litres?\nAnswer: 9.077286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -64\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225364 is divided by 22534?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171, 270, 423, 624, 867, 1146?\nAnswer: 1455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 - -51. Suppose 0 = -0*w - g*w - 2*w. Let b(h) = 7*h + 2. Let q be b(w). Solve -p = -5*i + 19, 0 = 4*p - 0*i - q*i + 22 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4 = 0, 27987 = -5*b - 4*f + 132689. What are the prime factors of b?\nAnswer: 2, 37, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r - 4920 = 6350. Let o = r - -812. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 3*o + 3, 2*v - o = -3 + 5. Suppose -v = w - 4. Suppose -w*n = -2*n - 2. Is n > 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7867172 to the nearest ten thousand.\nAnswer: -7870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279317.\nAnswer: 279317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4 + 2 = 0. Suppose 0*n + 4 = o*n. Suppose -n*a + 111 = -69. Calculate the greatest common divisor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 - 6 + 11)*(4 + 5 - 3)*(c + 32*c + 27*c) to the form o + i*c and give i.\nAnswer: 6480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 224?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 14*j**3 + 11*j**2 - 9*j + 73. What is the tens digit of q(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13470050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 244875.6 millilitres to litres.\nAnswer: 244.8756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r*r**(-2\/9))\/r)*r**0)**46)**(-35) assuming r is positive.\nAnswer: r**(-17710\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-12)\/20 + (-3088)\/(-80) + -13)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**3 - 20*d**2 - 8*d + 4. What is the lowest common multiple of 196 and g(-10)?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 1:42 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 30*f. Let o(l) = -63*l**2 - 2*l. Determine o(w(p)).\nAnswer: -56700*p**2 - 60*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 - 28443 + 28443.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-816706)\/(-726) - (-2)\/33. Is 1124 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 198 and 9?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -96 * 17.\nAnswer: -1632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 12. Let a = 14 + -10. Solve s + m = 3, 0 = 4*s + o*m - a*m - 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 0. Suppose 0 = -3*s - 4*m - m + 20, s - 3*m = 16. Let q = s + x. Calculate the highest common factor of q and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 13 (b) 0.1 (c) -7 (d) -546 (e) -5 (f) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68 + -24. What is the highest common factor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14555581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 94\/405 and -107\/4212.\nAnswer: 21060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 99*v**2 - 195*v - 48. Let k be i(97). Which is smaller: -287\/2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*s - 248 = 28, 4*g = 2*s + 306. Calculate the highest common factor of 111 and g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 350\/15*(-36138)\/(-190). Which is smaller: y or 4436?\nAnswer: 4436","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6417 - -0.5877. Let p = -8 + 7.5. Which is the nearest to i? (a) -2\/9 (b) 1\/6 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.3 - 0.3. Let p = 8.4 - 10. Let n = p - o. Sort 5, n, 1\/5 in descending order.\nAnswer: 5, n, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 33. Let l = o + 16. Let r be (-4)\/18 + (-160)\/(-315). What is the biggest value in 2, l, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -25, -1 in increasing order.\nAnswer: -25, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 209 - 86. Suppose -j = -6*q - 33. Let k = 2 - 1. What is the lowest common multiple of q and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/4 + 71465*s\/2 - 9580799\/4.\nAnswer: (s - 67)*(s + 142997)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18949 - -11918924\/629. Is -1 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**3 + x**3 - 1 - x**3)*(-3*x - 3*x + 4*x)*(-3*x + 4*x - 5*x).\nAnswer: 32*x**5 - 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 + 50 + -22 - -33) + 3 + -3?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(((m*m**(-1))\/m)\/m))**(-4\/11)*m*m*m**(1\/5)*m*m*m\/(m\/m**(1\/6))*(m\/(m\/m**(4\/3)))\/m**3*m*m**(-3\/2)*m*m**(2\/5) assuming m is positive.\nAnswer: m**(138\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/348 and 119\/12.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0122 + -33.6878. Let k = w - -33. What is the smallest value in -2\/3, k, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/140 and 71\/105?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**2 + 13 - 16 + 3*b**2 - 5*b - b**3. What is the smallest common multiple of z(4) and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4106534 (base 7) to base 15.\nAnswer: 9a18b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -12. Let j be 1*(o\/(-14))\/(-2). Let x = -0.25 - -0.45. Is j < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -101, 1\/2, 3, -2\/21, 4.\nAnswer: -101, -2\/21, 1\/2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -106?\nAnswer: 5\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**2 - 2*o**2 + o**2 + (3 - 2 - 4)*(-87*o**2 + 121*o**2 + 85*o**2) - 2*o**2 + 0 + 0 + (-4 - 2*o + 4)*(0 + 2*o + 0).\nAnswer: -361*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 630.261061?\nAnswer: 630.161061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42030 is divided by 1913.\nAnswer: 1857","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*v - 7352 = -9998 for v.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -73.8 (b) 18 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/23)*h**6*h**(2\/55)*h*h**23*h assuming h is positive.\nAnswer: h**(39151\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 677054 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -12. Suppose -j*w - 40 = -2*l, -l = 5*w + 8 - 35. What is the smallest common multiple of l and 2\/(-5)*(-1 + -4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 499 + -499. Do -2\/71 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 13 + 0 + (-2 - -6) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 631225.\nAnswer: 5, 7, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**5\/20 - s**4\/4 - s**3 + 13*s**2\/2 + 8*s + 5. Give f(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**2 - 514*c - 15 - c**4 + 1042*c - 521*c in the form s*c + r*c**2 + x + g*c**3 + h*c**4 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/3))**(2\/77)*n**(-2\/3)\/n*n**(2\/3) assuming n is positive.\nAnswer: n**(-223\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 59 - 740?\nAnswer: -6a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.05 + -5. Let f = x - -1.05. Let g = f - 1.099999. Round g to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4256559.\nAnswer: 3, 109, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 3. Let p be (-3 - -4) + -1*49. Let t be (-2)\/6 + (-34)\/p. What is the third biggest value in t, -2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*b + 28 + 102 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) -1\/6 (c) -38 (d) 17\/3 (e) 64\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/(1*1\/1). Let i(a) = 8*a**3 - 3*a**2 + 4*a + 3. Let m be i(2). Is (m\/c)\/((-2)\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 2:58 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t\/(t\/t**(-4)))\/t)**24\/((t**(-11\/2)\/t)\/t*t*t**(-7)*t*t) assuming t is positive.\nAnswer: t**(-169\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence frfn when four letters picked without replacement from {n: 2, r: 1, f: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 63325535 - -2?\nAnswer: 63325540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15029806789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.2, 4, 3, 5, 0.1, -29, -49 in decreasing order.\nAnswer: 5, 4, 3, 1.2, 0.1, -29, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -359*j + 4. Let z(f) = 25*f**2. Determine z(l(u)).\nAnswer: 3222025*u**2 - 71800*u + 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44334145 by 8866829.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + x**2 + 2*x + 1. Let j be (1 - 2)*(-2 + 4). Let q be j\/3 + (-1)\/3. What is h(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sl when two letters picked without replacement from {s: 8, l: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 108167 (base 15) in base 3?\nAnswer: 1110222010221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -35. Suppose 0 = 2*c + l, 10*l + j = 5*c + 5*l. Factor 9*m**3 - 3*m - c - 5*m + 2*m**2 - m**3.\nAnswer: 2*(m - 1)*(m + 1)*(4*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 25 = -0. Suppose -3*b = -0*w - 2*w - 197, -w = -f. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -424763 * -22.\nAnswer: 9344786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5.4 * -0.12\nAnswer: 0.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 96816574 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6 = -3. Let w be 8\/2 - (5 - c). Is 1*-6*(-3)\/w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -516299, -29, -7.\nAnswer: -516299, -29, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/117 and 38\/107263.\nAnswer: 965367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000015457 to seven decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 36.69 (c) 407 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-403*p**2 + 639*p**2 - 380*p**2)*(1 + 3*p - 1)*(1 - 1 - 4) as n + a*p**2 + f*p + o*p**3 and give o.\nAnswer: 1728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -178*b - 162*b - 11*b + b in the form z + o*b and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(126)\/sqrt(2) - sqrt(63)) + sqrt(63) + 5.\nAnswer: 4 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, d: 4, h: 3}. Give prob of sequence vvhd.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54433 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a*(a\/((a\/(a\/(a\/(a**(-1)\/a))))\/a))\/a)*a)**(-5\/11)*(a*a*a**(-5)\/a)\/(a*a**(5\/6)*a))**(9\/11))**17 assuming a is positive.\nAnswer: a**(-26061\/242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(2448)*1)**2.\nAnswer: 61200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.12 - -2.72. Let o = 5 + -8. Sort -0.8, o, -4, z in decreasing order.\nAnswer: z, -0.8, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 0)*(3 + 0). Suppose 0 = -3*n + 3*m + 3, 1 = -g*n + 3*m + m. Suppose -n*u + 420 = -u - 4*x, 4*u - 418 = 2*x. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3, -138*t + 139*t = 5*x - 5307. What is the lowest common multiple of 1180 and x?\nAnswer: 10620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, w: 1, y: 5, m: 3, f: 4}. What is prob of sequence ml?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -27*k. Let l(n) = -127*n + 17806. What is u(l(p))?\nAnswer: 3429*p - 480762","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*r**3 - 1830085*r**2 - 457520*r.\nAnswer: -5*r*(r + 91504)*(4*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 20*x - 118. Calculate n(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8.57416 smaller than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 364*y**2 - 734*y + 368.\nAnswer: 2*(y - 1)**2*(y + 184)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l + 5. Let m be (-14)\/(-91) + 100\/26. Suppose -5*o = a + 46, 0 = -5*o - 3*a - 66 + 18. Let n = m + o. Give v(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 816271229?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + -1)**2 - ((-1*(0 + sqrt(11)))**2 + sqrt(11)).\nAnswer: -9*sqrt(11) + 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0, 36, 0.4, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/4 - 1)\/(1\/14). Let h be t\/12*(-12)\/42. Factor 0 + 0*r + h*r**3 + 1\/2*r**2.\nAnswer: r**2*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a hour in seconds?\nAnswer: 9450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, -0.5, 1, 1\/6, -2.443?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b - 244*b**2 + 4*b.\nAnswer: -244*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k**2 + 6*k - 14. Let z be h(10). Let v = 419 + -65. Let i = v + z. What is i rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37183*i**4 - 3*i**2 - 859*i - 5?\nAnswer: 892392*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -14, -3, 4, -2\/3, -0.7, 45, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 13*y + 5. Let z be v(-2). Let t = 25 + z. Solve -t = 2*p - 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 4*a - 84314 + 17440, 33542 = 2*a + 36*y. What is the ten thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -250300 divided by -414?\nAnswer: 125150\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 1:31 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2604.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369665.\nAnswer: 5, 17, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-252)\/(-35) - (-30)\/(-25))*(1 + 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*x = -2, 2 = -2*z - 5*x. Suppose z*a - 8*l - 13 = -3*l, 3*l = -2*a + 1. Let h be (8 + -11)*4\/66. Sort a, 1, h in increasing order.\nAnswer: h, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2994, 5984, 8974, 11964, 14954?\nAnswer: 17944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -2\/7 (b) -0.31 (c) -3\/5 (d) 0 (e) -5207\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 - 2)*(5 - 3 - 3)*(217*d + 915*d - 8*d) + 2*d + 2*d - 3*d + (0 + 0 + 2*d)*(6 + 0 - 4) as z*d + p and give z.\nAnswer: 5625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/39 - (-54)\/156. Let v be (-3)\/(-8)*1\/(-3). Let d = 0.5 + -0.4. What is the closest to d in i, v, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 326 - 328. Let f = -4.8 + 0.8. What is the biggest value in a, f, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 37a2?\nAnswer: 37a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 126811324 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than -5043?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((3\/(-48))\/((-68)\/(-272)))\/((-1)\/(-8)). Which is the closest to -5? (a) -0.8 (b) -0.5 (c) j (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1880 - 1878. Solve -a*i + 17 = 9*c - 6*c, 5*i - 26 = -2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -563*k**5 + 187*k**2 + 1?\nAnswer: -33780*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11732 is divided by 135.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*o**5 - 3*o**4 + 55*o**3 - 4*o**2 + 236*o + 17?\nAnswer: 180*o**2 - 72*o + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -0.3, -1\/46, 0.13, 11, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4913?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-5) - (-138)\/30. Suppose m*t - 14 = 2*t. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2173062971.\nAnswer: 223, 9744677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -115\/12 - -59\/6. Let d = -0.4 - -0.3. Let u = d + 0.6. Which is the nearest to g? (a) 0.4 (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 264 + -473350\/1793. Which is bigger: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a microgram in nanograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3074439326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -573 or 273871?\nAnswer: 273871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 10*l**2 - 12*l - 45. Let d be c(-9). Suppose 0 = -r + 3*r - 5672. Does 29 divide r\/14 + d\/(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksssskskkkssssssssss. Give prob of picking 2 k.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 274829.8mg to nanograms.\nAnswer: 274829800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 199003453 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2353568 and 192128.\nAnswer: 9414272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qttqqtqaq. Give prob of picking 2 q.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 396044043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - (-22)\/6)\/((-392)\/(-63) + -6). Solve -k*m + 2*p + 1 + 2 = 0, -5*m = -3*p - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 181*i**2 - 10*i**4 - 181*i**2 + (i**3 + i - i)*(3*i - 1 + 1) + i**4 - 5*i**4 + 2*i**4 + i**4 - 2 + 2 as g*i**2 + y*i**3 + a*i + b + d*i**4 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.052559 - 0.024.\nAnswer: -0.076559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88471 or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*k + 718, -5*k + 168 = 3*i - 2*i. Suppose 4*q - i = -442. Let z be ((-3)\/6)\/(1\/q). Round z to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.4 (b) -2\/19 (c) 5\/4 (d) -0.03 (e) 10\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -13*v**3\/2 - 8*v**2 + 10*v + 30. Let r(t) be the first derivative of h(t). What is the derivative of r(b) wrt b?\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-1 - -8) + -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 18 = 2*o - 5*b, -3*b - 2 = 4*o. Is -2 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 156*f + 2502. Let g be i(-16). Solve 1014 = -g*z + 1002 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 6*n + 6. Let z be k(6). Suppose -z = -t - 4*u, 3*t - 104 = 4*u - 42. Let a = t - 11. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 108 = -6*x. Let p be 3 + x\/3 + 3. Let g = 21 - p. Solve -i - g = -4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55\/(-3795))\/((-2)\/12).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 13*s**2 + 13*s - 9. Let r be j(12). Solve r*m - 29 = -5*t, -6*m + 28 = -2*m + 4*t for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1784.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3552818\/65 - 54660. Let v be 4\/18 + (-400)\/585. Let w = v - h. What is the nearest to -1\/3 in 1\/6, w, -1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11099199686.00000562 - -11099199480. Let g = 206 + s. What is g rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**5\/13 + 1804*t**4\/13 + 7242*t**3\/13 + 5436*t**2\/13 = 0. What is t?\nAnswer: -3, -1, 0, 906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 7*y. Suppose y = -n - 4*n + 25. Let q be 72\/(-21)*(-35)\/10. Solve n*j + q = -8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2188363178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 369*o + 381*o + 371*o - 1002*o as l*o + c and give l.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -94*g**3. Let m(a) = 25*a**3 - 50*a**2 + 6*a**3 + 42*a**2 + 8*a**2. Calculate 5*c(r) + 14*m(r).\nAnswer: -36*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 7*h**2 + 91*h + 69. Let b(m) = m**2 + 18*m + 14. Let s(d) = -11*b(d) + 2*w(d). Does 74 divide s(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*k + 4. Let m = 17.3 - 17. Let y = -2.2 + 2. What is the closest to k in m, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4821349\/2190 - 11008\/5. Find the common denominator of g and 47\/1606.\nAnswer: 4818","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -347 + 347. Solve n - 3*d - 4 - 16 = r, 0 = n - 5*d - 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 367599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 41, 25, -11, -73?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 64716 divided by -21572\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -6*i - 21. Let j(f) = -12*f - 5. Let v be j(i). Let p = v + -2. What is the highest common divisor of 51 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*(29*l + 6*l - 9*l) + (-5*l + l + 3*l)*(-3 + 0 + 1).\nAnswer: -24*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.04526 and -97806.\nAnswer: -97807.04526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) - (sqrt(96)\/sqrt(3) - sqrt(32)))*5.\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 4*s + 33, 2*s = 5*p + 19 - 48. Let d = 4 - -1. Suppose -b = q + 1, 2*b - 4*b = q + d. Put -3, q, p in descending order.\nAnswer: p, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-56)\/112)\/((-2)\/37188).\nAnswer: 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 2*j)*(-11 + 2004*j**2 - 2006*j**2 - 2*j + 0) to y + m*j**3 + l*j**2 + n*j and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 405 = -48*d. Let s be 23\/(92\/(-384))*d\/4. Calculate the highest common divisor of s and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7*n**2. Let f(m) = 2*m - m - 3*m. Determine h(f(y)).\nAnswer: 28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7173 = 14*f - 2557. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -892 + 896. Suppose x*u - 2*l - 33 = -5*l, 13 = 2*u + 5*l. Solve -g + 9 = -n, n - u*g = -4*g - 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -66842675?\nAnswer: -6684267a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of y**7\/70 + y**6\/40 - y**5\/20 - y**4\/8 + y**2\/2 + 21*y - 33. Let p(n) be the second derivative of f(n). Factor p(b).\nAnswer: 3*b*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13530.\nAnswer: 2, 3, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**8\/588 + 4*d**7\/735 - 2*d**5\/105 - d**4\/42 - 7*d**2. Suppose w(u) = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22\/5 - (-2)\/(-5). Let k be (111\/18 - 7)*-6. Sort k, -3, o.\nAnswer: -3, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 7.2 (c) 159\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007251102756 rounded to 5 decimal places?\nAnswer: -0.00725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12612.02kg in tonnes?\nAnswer: 12.61202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 862 divided by -95.\nAnswer: -862\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/1021 or -1?\nAnswer: 5\/1021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -723*t**2 + 2*t - 372*t**2 - 2*t.\nAnswer: -1095*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/14*-6*60\/486.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77\/(539\/(-2))*(-36897)\/234 + 2\/(-39)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, p: 3, v: 1, d: 1, z: 1, o: 6}. Give prob of picking 1 i and 1 o.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 63\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 times -3.8?\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*v + 3*v + 2*v)*(-v**2 - 3*v**2 + 3*v**2) + v - 3858*v**3 + 1371*v**3 + v + 1357*v**3 + 1286*v**3 to the form g + b*v + z*v**2 + n*v**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 4. Suppose 24*m + 753 = -15. Let c be m\/(-8) + -8 - (-7 + 3). Solve -p - 5*s - 2 = c, 2*p + s - d = 2*s for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*d**2 + d - 9*d**2 - 5*d**2 + 13)*(-2*d + 9*d + d).\nAnswer: 16*d**3 + 8*d**2 + 104*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**5 + 8*s**3\/3 - 2. What is the third derivative of z(v) wrt v?\nAnswer: 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - (-15 + -11)) + 1 + 7\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -254.6949259 - 43\nAnswer: -297.6949259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -8*w**3 + 6*w**2 + 12*w + 6. Let v be u(-4). Let x = v - -1767. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 5*k**3\/6 - 4*k**2 - k. Let p = -913 + 909. Let n be g(p). Is -27 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -9*j + 4*j. Let y(i) = 2*i**3 - 13*i**2 - 15*i + 13. Let u(x) = -x**3 + 7*x**2 + 8*x - 7. Let s(b) = j*u(b) + 4*y(b). What is s(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**3 + s**2 - 12*s. Calculate v(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 159544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.061 - 0.351. Let l = 2 + -1.99. Let k = p - l. What is the second smallest value in k, -0.4, 1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 3394 = 5*u - 3399, -7*u + 3*r = -19 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**5 - 7*k**5 + 8 + 2*k**2 - 10)*(4 + 2 - 7).\nAnswer: 9*k**5 - 2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -10 (b) -1\/4 (c) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 u when two letters picked without replacement from hhsahauasahshh?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 170873\/20 - 8539. Let g = -6141\/8 - -773. Calculate the common denominator of q and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 + 36 - 41 - 12\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 690?\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72.183 + -72.483. Let w = 1.8 - 2. What is the nearest to w in -1, 0.2, 2\/7, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 20. Let x = 96 - 100.1. Let g = x - l. Which is the smallest value? (a) g (b) 1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 53, 221, 505, 905?\n\"Answer: 58*r**2 - 6*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24508 is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4678270, -9356519, -14034768, -18713017?\n\"Answer: -4678249*z - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y - 1. Suppose 5*m - 2*l = m - 16, 2*l - 1 = -m. Let d be a(m). Suppose -d*t - 846 = -5041. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5 - -4) + 6)\/(10\/4). Let u be 24*(-3)\/(-9)*s\/4. Let k(d) = d**3 - 2*d**2 - 4*d + 3. Calculate k(u).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 3*c + 5*g, 0 = -3*c + 2*g + 7 - 8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*l - 50 = -188*l. Suppose -5*g - 33 = 4*r, 0 = -g - 4*r - 0*r - 13. Sort 2, g, 21, l in decreasing order.\nAnswer: 21, l, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2. Let w(g) = -g**3 - 4*g**2 + 7*g + 3. Let p be w(-5). Let m = 14 + p. Let x(a) = -m + 2*a - 6*a + 7. Calculate n(x(i)).\nAnswer: 32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101011111010100 (base 2) to base 13.\nAnswer: -1c1c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) 1 (c) 0.3 (d) 7 (e) -2.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((5 - 4 - 3)*(6*u - 3*u + u) - 3*u + u + 0*u + 2 + 5*u - 2)*(-2*u + 9*u - u) to m + l*u**2 + p*u and give l.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/4 (b) -393 (c) -2.55 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 819 is divided by 98?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166396 is divided by 4698.\nAnswer: 1966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32104 and 1384?\nAnswer: 5553992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5\/14 (b) 11 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -z**6\/120 + z**5\/60 + z**4\/12 - z**3\/3 + 8*z**2 - 160*z. What is o(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*n + 17 + 53. Let k(b) be the first derivative of -b**2\/2 - 9*b - 1. Let i be k(n). Let z(w) = -9*w - 2. Calculate z(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -23*c**2 + 24*c**2 + 8*c - 8*c. Let z(g) = 15*g**2. Determine f(z(j)).\nAnswer: 225*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9066 is divided by 346?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-3)\/((-1)\/1*-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6939, 6968, 7019, 7092, 7187, 7304, 7443?\n\"Answer: 11*y**2 - 4*y + 6932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 49 = -5*j. Let v = 9 - j. Solve -y - 1 = -v*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-134*x - 39*x + 41*x - x + 3*x - 3*x + (-1 + 2*x + 1)*(1 + 1 - 3) + 0*x - 6*x + 4*x)*(-5 + 0 + 4) to the form g*x + h and give g.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4b - -272c?\nAnswer: 26e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f + 15 + 3*f + 9 - 4 + 3*f to the form q*f + j and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2879*i - 6567*i = -298728 for i.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 4)*(-2*w**3 + w**3 + 0*w**3) as j*w**2 + m*w + l*w**3 + p and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**8)\/v*v*v\/(v*v**(-5)))\/(v*v**(-4)*v*v**8) assuming v is positive.\nAnswer: v**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000 - 100001111101101011011?\nAnswer: -100001111101101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 3135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5 + 5*sqrt(14)\/sqrt(2) + -1 + sqrt(175))*-4 + -3.\nAnswer: -40*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of t**5\/75 + t**4\/15 - 31*t**2 + 1. Factor o(h).\nAnswer: 4*h*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86 and 6579?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 0.06 (c) -1 (d) 5 (e) -1\/38 (f) 473\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 204732 a multiple of 564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11916 and 160?\nAnswer: 476640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50 or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273*o = -264*o. Sort 8, o, -2, 2 in descending order.\nAnswer: 8, 2, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 10:08 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -4*b**5 + 64141*b**4 + 1396821*b**3 + 2215906*b**2 - 642280*b = 0?\nAnswer: -20, -2, 0, 1\/4, 16057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -55*(0\/16 - (-4)\/(-10)). Find the first derivative of -o - 87*r**2 + 84*r**2 - 6*r**3 - 5 wrt r.\nAnswer: -18*r**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(19\/(-9) - -2). What is the tens digit of 146\/s - 4\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 97*a**2 - 56 with respect to a.\nAnswer: 194*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107 + 10*f - 61 + 5*f - 2*f - 16*f.\nAnswer: -3*f + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 11. Let q(z) = 1 - 5*z + 2 - 3*z. Let p(c) = c. Determine i*q(h) + 6*p(h).\nAnswer: -2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -6*p**2 - 24*p + 2. Let v be t(-4). Solve 5*g = 5*u + 20, 2*u + 2*u = -v*g + 14 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.11, 1, -0.1, 0.1, 384, 8\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10626\/230*280\/196.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 392 and 18.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -2 - -1) + 5022 + -5062.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 191108.\nAnswer: 955540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 + 2841*q**2 - 14148*q + 16956.\nAnswer: -3*(q - 942)*(q - 3)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 829 = -407 - 387 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2\/3 - 165053*p\/3 = 0.\nAnswer: 0, 165053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11864 + -11930. Let a = 353 + -227. Let o = h + a. Calculate the remainder when o is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 10805*j + 730. Let s be b(-6). What is s rounded to the nearest 1000?\nAnswer: -64000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 542?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -111 + 100 + 54 - (22 + -2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44b8 (base 14) to base 6.\nAnswer: 131110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 0.26, -2, 3 in increasing order.\nAnswer: -2, 1\/8, 0.26, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -1\/10 (c) -0.4 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1252, 2488, 3724, 4960, 6196, 7432?\nAnswer: 8668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*p + 2*p - 6, -12 = n - 4*p. Let l(m) = m**3 - 6*m**2 - 6*m + 1. Does 9 divide l(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*v + 30*v - 14*v - 7 to the form n*v + d and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 7*l**2 + 4*l - 23. Let m be v(7). Let s be ((-21)\/(-49))\/(-2 + m). What is the third smallest value in s, 11, 0.04?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6075 and 2851200?\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 294729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3838408943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 10 + 9 + -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 + 2*c + 0*c**3 + 2*c**3 + (-c - c + 0*c)*(-2*c**2 + 5*c**2 - 5*c**2) - 3*c**3 - 2*c**3 + 2*c**3.\nAnswer: 4*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 810 and 8?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4797?\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30527 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -1. Find the second derivative of 8*x - 6*x**n - 5*x - 6*x wrt x.\nAnswer: -36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 3. Suppose f + r*f = 24. Suppose -33*h + 80 = -29*h. Calculate the greatest common factor of h and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 16*l + 6660 = -19*l. What are the prime factors of l?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3037 + 3?\nAnswer: -3034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125279 = 4*t + 518761. Round t to the nearest 1000.\nAnswer: -161000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*u - 98 = 0, 142 = 5*q - 4*u + 21. Let j(p) = 7*p - 6. Calculate the remainder when q is divided by j(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 10*m**2 - m + 6. Let s be (2 + 8\/(-3))*-3. Suppose s*y + 20 = -0*y. Let j be b(y). Calculate the greatest common factor of 16 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 265 and 689?\nAnswer: 3445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -1 - 2. Let d be 3 - 4\/(g - -1). Suppose 30 = d*m + 2*f, -2*f = -5*m - 3 + 92. Calculate the remainder when 82 is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 18042 = -5*z. Suppose -4*w - 5*o = -z, 0 = 2*o - 6*o - 4. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s**2. Let o = 23 - 19. Let a(p) = -2*p + p + 4*p - o*p. Give i(a(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*f + 2*f - 2*o, -4 = 5*f - o. Solve f = 3*b + b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 901 is divided by 546?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1061, 1043, 1027, 1013?\nAnswer: 1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 19*b**3 + 2*b**2 - b - 2. Determine q(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80834 (base 12) to base 2.\nAnswer: 101000110010101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 7*g**2 + 4*g - 6. Let v(f) = -f**2 - f + 1. What is -4*v(k) - x(k)?\nAnswer: -3*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/31)\/n)\/(n\/(n\/n**(1\/8)*n)) assuming n is positive.\nAnswer: n**(-39\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**4 + 0*y - 8*y**3 - 40*y**2 + 7*y**3 - 3*y - y**4 as h*y**2 + r*y**3 + t*y**4 + i + x*y and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -4*z + 49, 5*z + 12 = -8. What is the remainder when t is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, n: 5, f: 3, k: 4}. Give prob of sequence kk.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b**2 + 0*b**2 - 2*b**2)*(0 - 1 + 6)*(4*b - b + 3*b) in the form j*b**2 + h*b**3 + q*b + c and give h.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 36914.77kg?\nAnswer: 36.91477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 19 = 3*r - 7*s, 2*r = 4*s + 14 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m - 1. Let c be y(1). Suppose c*n + 44 = 5*u, -6*n = 2*u - 2*n - 28. What is the remainder when 27 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 s when three letters picked without replacement from {j: 5, w: 1, z: 1, s: 1, u: 5, b: 4}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-171))\/((-1572)\/4978).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 9) to base 13\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -65*i**2. Let f(a) = 109*a. Give h(f(j)).\nAnswer: -772265*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 806*p**3 + 7 - 2*p + 13 - 19*p**2 + 19*p**2.\nAnswer: 806*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/5)*m)**35\/(m**(2\/3)*m**(-3\/11)))**(-40) assuming m is positive.\nAnswer: m**(-64160\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 225638*l**3 + 1136*l**2 + 1136*l + 1136. Let i(z) = 994*z**3 + 5*z**2 + 5*z + 5. What is 1136*i(d) - 5*r(d)?\nAnswer: 994*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*v + 43*v - 27*v - 5*v - 6*v + 194*v**2 in the form f + h*v**2 + y*v and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/4)\/(6\/(-4)*(-47)\/282). Sort 35, j, 14, 3 in increasing order.\nAnswer: 3, j, 14, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -98*f + 149*f - 754851. Does 44 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23494607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 3*n**2 + 3*n - 5. Let r be c(-4). Let a be ((-10)\/15)\/(r\/6). Solve -3*o + 6 - 20 = -y, 3*o + 4 = -a*y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -3241406?\nAnswer: 3241402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 43 = -39 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/2 of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**5 - 1359*m**4 + 8226*m**3 - 16500*m**2 + 11016*m.\nAnswer: -3*m*(m - 2)**3*(m + 459)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (306\/(-102))\/((-3)\/883561) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -130, -465, -1110, -2167?\nAnswer: -3738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*v**2 + 34*v**2 + 39*v**2)*(-11 + 3 + 4).\nAnswer: -440*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23496)\/(-792) + 670\/(-6).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -1 + 11*k + 3 + 15. Let h(f) = 2*f + 3. Give 34*h(i) - 6*p(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 117523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.9 + 1.1. Which is the second smallest value? (a) j (b) -2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + -0.1. Let b = 4 - 3. Let s = -2 - b. Which is smaller: s or l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 49*y**2 + 77*y - 64. List the prime factors of q(-9).\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 298 - 886\/3. Find f, given that a + 2\/3*f**2 - 8\/3*f = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2 + s**2 + 8*s + 2 - 2*s. List the prime factors of c(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*b + b**2 + b**3 - 5*b**2 + 3*b**2 as l*b**2 + u*b + p*b**3 + x and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*18.\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/43, 1\/115, -0.02, -1.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 23*g**2 - 7*g**2 + 47*g**2 - 17*g**2 + 4*g**3 + 1.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70\/(-5) - -3) + 2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 41\/5, -1\/2, -846?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - -0.2. Let g = q + 2.5. Let h be 144\/(-660) + ((-13)\/11 - -1). Which is the third smallest value? (a) h (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495 is divided by 67?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {j: 1, f: 2, c: 2, w: 11}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223098?\nAnswer: 2, 3, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/14)\/(2\/(-14)). Calculate the common denominator of ((-5)\/(-15))\/(4\/(-73)) and 4\/z - (-46)\/8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - (-1 - 2))\/2. Let d(o) = 3*o**2 + 1 + 9 - 4*o**2 - o - 4. Determine d(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3221 + 1842. Calculate the common denominator of 1\/(3 + j\/455) and -29\/148.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 4:08 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 1:41 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -10, -37, -78?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 182 = -5*c, 3*c + 767 = 3*i + 869. Solve 6*l = 18*l - c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.01, 4, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 - 7*x - 28. Let h be o(16). Suppose -z + h = 2*w, w + 4*w = 3*z + 908. Does 19 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16718020517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -7*n + 63. Let v be d(24). Does 15 divide (-1047)\/(-2) - v\/(-70)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 204 = -2*f - 38, -5*p + 20 = 0. Let g = f - 57. Is 18 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408719839 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5*h + 15, -3 - 12 = 3*d. Suppose -h*m - 8 + 72 = 0. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4788, -4627, -4168, -3261, -1756, 497, 3648?\nAnswer: 7847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2690 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -96\/7 + 1070\/77. Let s = 8251\/4 - 2062. Which is the closest to -0.03? (a) p (b) s (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5908, -31, -4 in increasing order.\nAnswer: -5908, -31, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -20*z + 16. Let q(r) = -19*r + 21. What is 3*q(g) - 4*w(g)?\nAnswer: 23*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 21f3c9 (base 16) to base 2\nAnswer: 1000011111001111001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 45*l - 96. Let i be r(2). Let t(q) be the third derivative of -q**5\/30 - 5*q**4\/8 - q**3 - q**2 + 4*q. Calculate t(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**4\/6 - 954*m. Let p(k) = -102*k**2 - 14*k**2 - 18*k**2 - 58*k**2. Give p(c(r)).\nAnswer: -768*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -4.01. Let x = w - -0.11. Let i = 991 + -993. Which is the nearest to 0.1? (a) -3 (b) i (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006288480704 to 7 dps.\nAnswer: 0.0062885","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times 329\nAnswer: -6.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 204*k**3 - 1473688*k**2 + 7305588*k + 288760 = 0.\nAnswer: -2\/51, 5, 7219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9014, -36092, -81236, -144446, -225722?\nAnswer: -325064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/75088 and 61\/4236696.\nAnswer: 110154096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4 + 8436*u**3 - 16869*u**2 + 8434*u.\nAnswer: -u*(u - 8434)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1. Let p(j) = -16*j**2 + j. Let z be p(-1). Let y = z + 21. What is the smallest common multiple of r and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1063?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39\/28 - 3\/28. Let u = -1.2 - -1.4. Let x = 185 + -185. Which is the nearest to u? (a) x (b) g (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ba when two letters picked without replacement from {s: 1, a: 1, i: 2, l: 1, b: 1, h: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -663 - -666. Solve y - 2 = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 c, and 1 q when four letters picked without replacement from cpqqqpcqq.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 6:16 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 3*c - 18. Suppose 3*b + b - c = -y, 3*y - 5*b - 18 = 0. Let p = y - 4. Which is bigger: 1\/2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3*x**3 + 12631*x + 10*x**2 + 4*x**3 - 5*x**3 - 12627*x to d*x**3 + o + k*x + y*x**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5}. What is prob of sequence ssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 - -0.001\nAnswer: 1.101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 9 + 3 + 3*q + 3*q - 5*q. Let o be n(-8). Suppose 0 = -0*x + 4*x - 3*f - 400, 0 = o*x - 2*f - 396. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63 + -60 + (-1 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2596053 is divided by 1289?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aapohkko. Give prob of sequence apah.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(((-154)\/(-693))\/((-1)\/9)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42*h**3*q**5 - 4*h**3 - 2*h**2*q**3 + h**2*q - 119*h wrt q.\nAnswer: -840*h**3*q**3 - 12*h**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -64011.50287378 less than -0.5?\nAnswer: 64011.00287378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (144 - 308*q**2 + 161*q**2 + 140*q**2)*(3 - 2*q - 3).\nAnswer: 14*q**3 - 288*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 9:01 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5491)\/(-51))\/(-19) + 2\/(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -555 + 555. Let j(p) = 13 - 5*p + 3*p + a*p - p - 19. Let q(s) = -4*s**2. Determine q(j(z)).\nAnswer: -36*z**2 - 144*z - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -124, -274, -474, -718, -1000, -1314, -1654?\nAnswer: -2014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*u + 162 = -0*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 16*o - 13*o + 9, -4*o - 7 = -3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 93732, 93734, 93736, 93738, 93740?\n\"Answer: 2*l + 93730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1810494.9 + -0.016778\nAnswer: 1810494.883222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**3*w + 2*a**2*n - 69*a*n + a*w - 3*n*w + 450*n + 2*w wrt a?\nAnswer: -3*a**2*w + 4*a*n - 69*n + w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.8 + 3. Let d = 18 + -14. Let r = 3229\/4 + -807. Which is the closest to g? (a) r (b) -1\/2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 2*u + 6. Let x(b) = -b**3 - 3*b**2 - b - 3. What is x(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -0.027 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*q + 23*q - 12 = -4*s, -24*s + 19*s - 6 = 4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x + 384 = -55*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(12) - sqrt(33)\/(2*sqrt(11)))*-4)**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = s + 3*j - 25, -2*j = -6. Suppose -38*q = -s*q + 1. Solve -4 - q = 5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -6*w**4 - 30830*w**3 - 37263348*w**2 + 6097598616*w - 4048495120 = 0?\nAnswer: -2642, 2\/3, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 40\/140*15*(-98)\/21\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 219, 437, 655, 873, 1091?\n\"Answer: 218*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-35)\/(-11) + 72\/(-396). Suppose -6*u = -4*u, c*t + 4*u - 48 = 0. Solve -5*v - b = -0*v, -t = -v + 3*b for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -7 - 28. Suppose 5*r + 19 = 2*s - x*s, 0 = -4*s + 3*r + 23. Does 14 divide (6\/2)\/(s - 73\/37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -228139 (base 10) to base 16\nAnswer: -37b2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 a when four letters picked without replacement from wwwawawawaawwaawwww?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 330 and 15630.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 3:04 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-18)*4 + -190 + 191.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {p: 6, u: 1, a: 3, e: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 5*m. Let v(p) = 3*p. Let r(c) = 3*t(c) - 5*v(c). Let z(s) = -5*s. Give r(z(k)).\nAnswer: 75*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 5*x - 6. Let b be n(-5). Let q = 10 - -3. Let s = b + q. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -99920 to the nearest one thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -69*j**3 - 5*j**2 + 4*j + 8. Let f be x(-6). Let m be 2\/(-6) - 83631\/(-9). Suppose -3*p + m = -f. Round p to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -727 - -726.671. Let c = k + 0.289. Sort -8, c, 1.\nAnswer: -8, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -100 + 100. What is the least common multiple of 20 and (4 + -5 - c)*-268?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190\/(-38) + (-511)\/(-1) - -1 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/37 - -46\/111. Let r = -38 + 40. Put -4, r, q in descending order.\nAnswer: r, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.032453 take away -9.789383?\nAnswer: 9.821836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1151447308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from {y: 1, d: 1, s: 5, o: 1, k: 3, i: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*b - 807 + 1598 = -1907 - 734 for b.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 - 4392*y - 21910.\nAnswer: -2*(y + 5)*(y + 2191)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179541 is divided by 59846.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1630, -1654, -1678, -1702, -1726, -1750?\nAnswer: -1774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 13*p + 161. Give b(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 2 = r. Is 1\/14 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 4*i = -18, -4*w - 5 = -7*w - 2*i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203510143.\nAnswer: 643, 316501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2. Suppose 8*c + 15 = 13*c. Suppose -5*o - 4*t = -1 - 2, 0 = -3*o + 3*t + 18. Let i(p) = -4*p + 3*p - o + c. Determine s(i(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*j + 674 = 279 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 21 + 47*v - v**3 - 73 - 42*v - 32*v**2 + 2*v**3. Is y(32) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 - 324258*j + 324260.\nAnswer: -2*(j - 1)*(j + 162130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 - 223199*g + 2008957. Determine k(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iuqqaaqiauq. What is prob of picking 1 u and 2 q?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*o - 263, s = -3*o - 0*o + 198. Let q = 55 - o. Which is the closest to 0? (a) q (b) 0.5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 4*g**2 + 23516784*g + 34564945606416 = 0.\nAnswer: -2939598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 680270.4 litres in millilitres?\nAnswer: 680270400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*(sqrt(242) + 4*(sqrt(242)*-3)**2)*-2 + 5)*-3.\nAnswer: 132*sqrt(2) + 104526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -605884 divided by 151471\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -291ba (base 13) in base 10?\nAnswer: -77217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-14)*y*y)\/(y\/(y\/(y\/((y\/(y*y**(-7)*y))\/y)))))\/(y**4\/y)**22 assuming y is positive.\nAnswer: y**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**2 + 505*z = 0. What is z?\nAnswer: 0, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 206311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 97 = -397. Does 25 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3234*a*d**3 - 2*a*d**2 - a*d + 2*a + 7965*d**3 + 2*d**2 - 1525931 wrt d?\nAnswer: 19404*a + 47790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - -2150303215?\nAnswer: 2150303231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-111*(-33)\/(-1386))\/(15\/(-6)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3228578 is divided by 1052.\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6 = n, m = 5*m - 5*n - 6. Suppose 2*t + 456 = -m*t. Is 4 + -174*t\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6*m + 3*j + 31 = 0, 0 = -m - 2*j - 6. Solve -m = 5*x + 21 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 566, 687, 808, 929, 1050?\n\"Answer: 121*y + 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1939217 (base 10) to base 6.\nAnswer: 105321505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -238 - -246 - (-12 + 14 + -2 + 0 - 56).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*r + 2*r**3 - 6 + 6 + 14 + 14 - 49*r + 8*r**2 = 0. Calculate r.\nAnswer: -7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 + 0*u**2 - 3 - 5*u + 4*u**2. Calculate the remainder when 35 is divided by s(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -7*g**2 - 4*g + 3. Let h be t(2). Let k = h + 49. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 4:34 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34 and 7548.\nAnswer: 7548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1297876 + 1297879. Factor -1\/2*i**t - 1\/6*i**4 - 1\/3*i**2 + 0*i + 0.\nAnswer: -i**2*(i + 1)*(i + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 101*j + 25. Let s be d(11). Suppose -10*i + 13*i = 4*c + 1714, 0 = 2*i - 4*c - s. Round i to the nearest ten.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31.9 + 32. What is the closest to m in -0.3, -2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 m when two letters picked without replacement from {m: 13, u: 3}.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13533 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 209954489.330268?\nAnswer: 209954490.330268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51624 and 17736?\nAnswer: 38150136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -751 > -751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y**2 - 3*y - 37. Let z(w) = -4*w**2 - 2*w - 38. Let f(v) = -3*q(v) + 2*z(v). Is f(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {i: 2, w: 11, j: 2}.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 4. Let f = 9 - 3. What are the prime factors of t\/((-9)\/f - -1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*h = 118*h + 24 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**6\/10 + 17*z**4\/3 - 2401*z**3\/6 - 1594*z. Find the second derivative of q(l) wrt l.\nAnswer: 36*l**2 + 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d260c6 - 5?\nAnswer: 2d260c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*(-2)\/3)\/(-34).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1540043 and 766?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**4 + 0*j**4 - j**4)*(8*j - j + 3*j) + (2*j**5 + 2*j**5 - 3*j**5)*(0 + 1 + 0) - j**4 + j**4 - 3*j**5 - 2*j**5 + j**3 - j**3.\nAnswer: 6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 499, -7\/5, 0.2, 3\/8 in decreasing order.\nAnswer: 499, 3\/8, 0.2, -7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, d: 5, x: 6}. What is prob of picking 1 m and 1 d?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*h + 2220 = 230, -2*s = 5*h - 787. Find the common denominator of 13\/5 and 4\/(-10) + s\/(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.265 - 9.265. Which is the second smallest value? (a) 0.34 (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 347985343 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1908 - 376 = -5*x, 2*h + 2*x = 3052. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -154, -194, -234, -274, -314, -354?\n\"Answer: -40*k - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qk when two letters picked without replacement from kqe.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4 = h. Let s be (h - 1968\/(-3)) + -3. Suppose -4*r - 5*k + 32 = -533, 5*r - 4*k - s = 0. What is the greatest common factor of r and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*v - 1080 = 0. Let c = 10585 - 10555. Calculate the highest common divisor of c and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 8:59 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 81*x**3 + x**2 - 298*x + 1815. What is the units digit of a(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/2449 or 1?\nAnswer: -3\/2449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12540844 and -923.1274.\nAnswer: 12539920.8726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1199 - 299. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -24 - (26 + -56 + 18)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6688\/(-114))\/(-44)*1\/(-4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 1. Let d be i(0). Let x be d*5 - (-1485)\/27. Suppose x = 5*v + 5. What is v rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.123 (b) 1\/4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11eb + 0?\nAnswer: 11eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -873*q - 5550. Calculate h(-6).\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 288, 3, 5 in descending order.\nAnswer: 288, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94937436 divided by 18.\nAnswer: -5274302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 159323047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8886.629 tonnes?\nAnswer: 8886629000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 130473*w + 207829?\nAnswer: 130473","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(77)\/(sqrt(396) + sqrt(11))*-6 - (-1 + sqrt(112) + 1*sqrt(847) + sqrt(7) + 3))*2)**2.\nAnswer: 1408*sqrt(7)\/7 + 31088\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3*c - 5*w = -7, 0 = -c + 3*w - 1. Let y be c - (-2)\/1 - -5. Let u(b) = 2*b + 1. What is the units digit of u(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 300 and 1236600?\nAnswer: 1236600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 - i**3 + 1 + 4*i**3 + 9*i**3 in the form r*i**2 + u*i + s + p*i**3 and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mamaarttmeateeemame. What is prob of sequence tmrm?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16595*b**3 - b**2 - b + 22820?\nAnswer: -49785*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2366? (a) -4 (b) -1.2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4578751265?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-3)*(-15)\/5. Suppose 4*r + 3*d = 20, -r = -4*d + 13 + 1. Put b, 4, r, 3 in increasing order.\nAnswer: b, r, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 3.969974 kilograms?\nAnswer: 0.003969974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 20 = 0, -4*b - 18 = 2*n - 4*n. Calculate the remainder when n is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 3 - 5*q**2 + 14 - 17. Let j(p) = -p + 6*p**2 + 5*p**2 - p. Suppose 10*s - 61 = 29. Determine s*d(h) + 4*j(h).\nAnswer: -h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 0.071, 1\/6, 0.3, -0.18 in decreasing order.\nAnswer: 1, 0.3, 1\/6, 0.071, -0.18, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2033 is divided by 43?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -145*f + 22873. Give c(171).\nAnswer: -1922","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 13*m**4\/6 - m**3\/2 + 7*m. Is 12 a factor of f(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21a6c10 (base 13) to base 16.\nAnswer: -9d8ef0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4 to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.169809km in meters?\nAnswer: 9169.809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p = -6597 + 6605, 5 = -4*i - p for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -7*h**2. Let r(t) = -22*t - 197195. What is r(o(g))?\nAnswer: 154*g**2 - 197195","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -25\/2*i**2 - 1\/3*i**4 + 10\/3*i**3 + 0 - 13*i. Suppose x(b) = 0. What is b?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 9*d + 3. Let i(z) = z - 1. Let h(x) = 3*i(x) + k(x). Suppose 5*b + 14 = -6. Let p be (4\/(-6))\/(b\/30). Calculate h(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/1300 - (-3116)\/(-130) - -62?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 131 - 56. Let a = -75.00000053 + d. What is a rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 + -5)*(-2)\/(-4). Let z = -2031 - -8127\/4. Find y, given that t + 7\/4*y + z*y**2 = 0.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 571*l**2 - 11*l + 10. Let b be y(10). What is b rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 321\/11 - 29. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bffbbffbbbbff. Give prob of sequence bfb.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/13))**(-34)*z*z\/z**(-1\/2)*(z\/(z\/(z**(-6\/13)*z)))\/z assuming z is positive.\nAnswer: z**(-151\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - w**2 - 23*w + 64799. Is y(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-32)\/3)\/(4\/(-6)). Let f(j) = -j**3 + 15*j**2 - 27*j + 15. Let c be f(13). Solve -s = -2*l - 0*t + 4*t, 0 = c*l - 5*t - 19 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -23*a**3 + 92*a**2. Let b(d) = -d**2. Let r(u) = -u**2 + 288*u - 856. Let w be r(3). What is w*s(i) - 92*b(i)?\nAnswer: 23*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 1 - 4)*(-17*y**2 - 35*y**2 + 18*y**2).\nAnswer: -68*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -453 divided by 80?\nAnswer: -453\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**3 + 0 + 0 + (-578*m + 674*m - 1217*m)*(4*m**2 - m**2 + 3*m - 2*m) to the form q*m**3 + f*m + d*m**2 + w and give q.\nAnswer: -3364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8301809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*y + 12 = 0. Let d = -2 - y. Suppose -7*s + 7 + 7 = 0. Solve -5*x - 2*v - d = 0, -4*v - s = -4*x - 3*v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -224767.59 to the nearest one thousand.\nAnswer: -225000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.22 rounded to zero decimal places?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -8, -4, 24134, 1, -3 in decreasing order.\nAnswer: 24134, 6, 1, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - -12) + 19 + 5 + -2 + (-2 - -4)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, d: 3, y: 4}. Give prob of picking 2 d.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8 - (12\/(-4) + 3 - 2). Let t(n) = -2*n**2 - 18*n + 8. Let s be t(m). Calculate the greatest common divisor of 11 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 154045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -15, 1, 9\/125?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1678167 is divided by 2171?\nAnswer: 2155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8314 or 9002?\nAnswer: 8314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**5\/100 + 3*g**4\/10 - 13*g**3\/10 + 379*g**2. Factor m(c).\nAnswer: 3*(c - 1)*(c + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -u + 1, -2*f - 16 + 6 = -4*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -41.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -1 - 2*s + 0 + s. Let n be y(-4). Suppose 3*x + 8 = 4*x - p, 0 = -3*x - n*p - 6. Calculate the lowest common multiple of 2 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 208715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 4. Let s be i(4). Let p(g) = 2 + 6*g - 4 - g - 3*g. Let z be p(10). Solve -4*t - z - 2 = s for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*i = i - 327, a - 5*i = 97. What is the highest common factor of a and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.46 and -5.857.\nAnswer: 2.69422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + 108. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 165c - 2dca?\nAnswer: -176d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 254*k**3 + 29*k**2 - 130*k + 51. What is the tens digit of g(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -195829.\nAnswer: 7\/195829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333*t + 494*t + 82*t - 71280 = 117*t for t.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i - 2. Let u be x(4). Suppose -3*l = -l - 107000000. Suppose -u*d = 3*d - l. What is d rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 7*g = -12. Suppose -14*x + g*x = -1870. Is 34 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11558, 11423, 11288, 11153, 11018, 10883?\n\"Answer: -135*s + 11693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -u + 3*w + 2*w - 3*w, -2*w = -30 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*r + 36 = 32*r. Let c = -72 + 100. What is the smallest common multiple of c and r?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4 + 5 = 0. Suppose -7 = -x - 2*y, -4*x + a*y + 28 = y. Calculate the greatest common factor of 56 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 509 + 1053. Suppose 3*i + 1 = -14, 0 = 4*n + 2*i - u. Calculate the common denominator of (n\/45)\/((-6)\/(-5)) and -1\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -202 - -207. What is the second derivative of 12*b**5 + 2*b**4 + 7*b + 5*b**5 - 28*b - 48*b + 5*b**f wrt b?\nAnswer: 440*b**3 + 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -158599 - -3?\nAnswer: -158596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -2*c**5\/5 + 107*c**4\/4 + 9*c**3 + 271. What is the third derivative of r(b) wrt b?\nAnswer: -48*b + 642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r - 7*r + 14*r.\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -14. Which is the nearest to -1\/2? (a) 4 (b) y (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -138*z**2 + 7*z - 25. Let t(l) = 82*l**2 - 4*l + 15. Give 7*i(n) + 12*t(n).\nAnswer: 18*n**2 + n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*h + 35*h - 69331. List the prime factors of h.\nAnswer: 41, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f. Let a(l) be the third derivative of -19*l**4\/12 - l**3\/2 - 191*l**2 + 2. Determine a(p(j)).\nAnswer: 38*j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + -553126.424.\nAnswer: -553126.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 + 0*w**4 - 3*w**5 + 24*w**2 - 6*w**4 - 2 + 12*w**3.\nAnswer: -3*w**2*(w - 2)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1305721\/7 + 186173. Let s = 17302063\/48930 - -4471\/699. Let g = k + s. Find the common denominator of g and -23\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*a - 2 = -a, 0 = -3*u + a + 8. Suppose -u*i - 4*x + 46 = -2*i, 4*x - 16 = 0. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**3 + 6*a**2 + 5*a - 5. Calculate w(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 472?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69 + 26 - -35) + (-17 - -7 - 104).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52982742.\nAnswer: 2, 3, 37, 41, 5821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m**2 - 9*m - 10. Let u(f) = -8*f**2 + 19*f + 21. Determine -13*i(g) - 6*u(g).\nAnswer: -4*g**2 + 3*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 688, 406, 124, -158, -440, -722?\nAnswer: -1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2997.237916 rounded to 2 decimal places?\nAnswer: 2997.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -f - 4, -i - 20 = -2*f + 7*f. Suppose 5*l = -25, -p + 24 = -4*l + 5. Let z = p - f. Solve -4*u + z*x - 6 = -22, -2*x = 4*u - 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 91*v. Let d(k) = 174*k + 39. Let j(m) = 9*m + 2. Let n(l) = -2*d(l) + 39*j(l). Determine c(n(x)).\nAnswer: 273*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 a factor of 168830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 733*b**2 + 4*b - 46. List the prime factors of m(-7).\nAnswer: 73, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31.04 + -27. Let d = n - 0.04. Sort d, 2\/3, -2 in decreasing order.\nAnswer: d, 2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 - 4*d**2 - 5*d**2.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -3 + 4 - (-31 + 33).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 146 + -112. What is the tens digit of 0\/(-2) - -3*(x + -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1174 (base 13) to base 9.\nAnswer: 3334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -c**7\/210 + c**6\/150 + c**5\/100 - c**4\/60 + 9*c - 16. Let d(o) be the first derivative of a(o). Let d(k) = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -24*z + 14. Let w(a) = -23*a + 17. Let s(x) = 505*x - 375. Let j(g) = -2*s(g) - 45*w(g). Let p(l) = 4*j(l) + 5*n(l). Differentiate p(y) wrt y.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.09 != 1.17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30041442 by 1112646.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 1. Let r(g) = -4*g**2 + 41. What is -5*f(o) + r(o)?\nAnswer: o**2 + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 170 (base 14) to base 8.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -105644 rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 441 and 5229?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 614 and 114.\nAnswer: 34998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-5*w**3 + 4*w**3 + 8*w**3 + (0 - 1 + 3)*(-2 + 2 + w**3) - w**3 + 3*w**2 - 3*w**2 + (-2*w**2 - w**2 + w**2)*(w + w + 0*w)).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -123, -2\/13, -0.3 in ascending order.\nAnswer: -123, -0.3, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1 + sqrt(1331) + -3 - (0 + (3*sqrt(88) + sqrt(88))\/sqrt(8))) + -5).\nAnswer: -28 + 28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -75849 - 111902 = -5726*h - 38875 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 1 + -7 - -6. What is the third derivative of 39*d**u - 5*d**2 - 61*d + 187*d**4 - 32*d**2 wrt d?\nAnswer: 4488*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -75.17878211 and -0.01?\nAnswer: 75.16878211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 8) to base 11\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-8)*-4*(-10)\/(-140).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79382 + 78821 = 17*d for d.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-247)\/(-3) + 8\/(-6). Suppose 2*z - g = -2*v - 17, 4*z - v = 128. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mxxxmxmmxxxmmxmxmmmx.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 413 and 4897.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24743?\nAnswer: 109, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*p + 9 + 0 = 0, 7 = 3*l + p. Suppose -l*r - 4*z + 134 = -2*z, -4*z + 58 = r. Calculate the least common multiple of r and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 - s - 65. Let g be l(7). Let f be (-2 - (-108)\/g) + (-28)\/182. Factor 0 - f*o + 2\/3*o**2.\nAnswer: 2*o*(o - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 43*c**7\/21 + c**4\/2 + c**2 + 27*c. What is the third derivative of u(i) wrt i?\nAnswer: 5160*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -151*l - 49706. Calculate c(-329).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -8*t - 9. Let z = 3 - -1. Let q(u) = 3*u + 3. What is z*a(p) + 11*q(p)?\nAnswer: p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0133573 to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**5\/4 - f**4\/12 + 4*f**3 + 3*f**2\/2 + 16*f - 1. What is the second derivative of x(n) wrt n?\nAnswer: -30*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 3*t**2 + 2*t + 1. Let w be x(-2). Let c = 1 + w. Suppose c*q - 6*q = -24. Solve 4*n - q = -5*z + 18, -2*n - 14 = -4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-75)*3*20\/(-18)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r - 12. Let v(p) = -p - 11. Let y(u) = 2*s(u) - 3*v(u). Differentiate y(x) wrt x.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**3*s**2 - 200*m**3 - 20*m**2*s**2 - 19*m**2 wrt m.\nAnswer: 6*s**2 - 1200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -24705, 1.5, 2\/3, 0.4?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 713904000 rounded to the nearest one million?\nAnswer: 714000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -3 (c) -26 (d) 4 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16500)\/560 - -29 - (-56)\/32?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14781.5024 rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 32 = -3*m - 6*i, -19 = 2*m + i. Let r be (6\/m)\/((-1)\/3). Solve 2*s = s - r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 c when two letters picked without replacement from csoopcccvslo.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 5341436.489 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -352 by -22.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2560 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1995366285 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -21. Calculate the remainder when k is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 51\/5 of a millennium?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 5*h - 101, -96 = -4*m + h + 67. Let n be 8\/3 + (-28)\/m. Is 3 a factor of -1 + (3*15 - (-2)\/n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -206200 rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4793849989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 36*u + 1. Let z(l) = -4458*l + 4758. Let h(n) = -4*q(n) + z(n). Find the first derivative of h(w) wrt w.\nAnswer: -4602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 475079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060266 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 149*b - 65*b - 72*b. Let t(r) = -r. Calculate -m(l) - t(l).\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 3*d + 4*d)*(0 - 2 + 1) + (-39 + 30 - 40)*(14*d + 9*d - 4*d).\nAnswer: -929*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 550815785 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -24. Suppose -b = -5*k - w, k = -0*k + 5*w + 19. Solve -2*j = -j + k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 13 = -v - 5, 3*o + v = 18. Factor 3 + o*s**3 - 2*s - 10*s**2 + 1 + 2*s**2.\nAnswer: 2*(s - 1)**2*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/12*-3*-34. Let j = -10 - m. Suppose -3*a + 28 = 2*q, j*q = 3*a + 3*q + 2. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o**2 - 2*o + 1. Let z(q) = 0 - 5*q**2 + 11 - 23 + 10 + 3*q. Determine 3*m(b) + 2*z(b).\nAnswer: 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 377275853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-1)*(-11)\/33?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -188183 divided by -4?\nAnswer: 188183\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**4 - 52*w**3 - 432*w**2 - 1472*w - 1792 = 0.\nAnswer: -14, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5492441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u - 40*u - 2054 = -2630 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + (-23 + 67 - (-275)\/(-10)).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 8*r**2 + 9*r + 5. Let t be o(7). Suppose 4*b - 29 - t = 0. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535.92 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.5 (b) 0.11 (c) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14, 6, -12, -46, -102, -186, -304?\n\"Answer: -y**3 + y**2 - 4*y + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 1:09 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110101110 - -1001000001?\nAnswer: -1101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w. Suppose -6 = -0*s - 2*s. Let q(f) = 2*f. Let c(y) = s*q(y) - 2*l(y). Calculate the remainder when c(-1) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 1)\/2 - (-5620)\/38. Let v = -149 + g. Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0*s\/(s\/s**(-1\/2)))**46 assuming s is positive.\nAnswer: s**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 12585\nAnswer: -2517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135, 521, 1153, 2031, 3155?\nAnswer: 4525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, 2, -13\/5, -1, -2?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 + q + 1. Let h = -21 + 20. Let j be c(h). Let p = j + 2. Sort p, -5, 2 in ascending order.\nAnswer: -5, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeue when four letters picked without replacement from {u: 2, e: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 53171878.\nAnswer: 1\/26585939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 3 + -1 - -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8973681*c**3 + 10488445 wrt c?\nAnswer: 26921043*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 334233 (base 7) in base 8?\nAnswer: 163356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-56)*(-4)\/(-6)*44*(-88)\/(-1452)?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = z - m, 12*z - 8*z - 324 = -4*m. Calculate the highest common factor of 316 and z.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -19218*v + 154210. Give s(8).\nAnswer: 466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1717 - 1172. Suppose -51*q - 95 = -70*q. What is the highest common divisor of q and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1838?\nAnswer: 2, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 2 (b) -1\/5 (c) -0.4 (d) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -81\/10690?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkg when three letters picked without replacement from {k: 1, g: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -25*h + 207. What is c(22)?\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 10 = -5*l, -342*j + 339*j - 4*l = 9. Let n(o) = -4*o - 3. Let g(c) = 6*c + 4. Calculate j*g(m) + 7*n(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 348 + -0.19\nAnswer: 347.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.674035155 to two decimal places.\nAnswer: 1.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32695, -127987, -285879, -506371, -789463, -1135155?\nAnswer: -1543447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 10*d - 8. Determine f(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/10)\/((-126)\/420)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 168 and 63?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 138 = -50. Suppose -51 = -c*w + 29. Calculate the least common multiple of w and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383748 is divided by 126?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 5*o - 5*o)*(2*o**4 + 0*o**4 - 3*o**4) + 27*o**4 + 197*o**4 + 2*o**5 + 53*o**4.\nAnswer: 3*o**5 + 277*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 55*k = 53*k + 22, 0 = -4*s + 19*k - 62 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28)\/(-6) - (-18 - -22). Which is the nearest to t? (a) -3 (b) 5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7394665 is divided by 349.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 26*n**2 + 88*n - 16. Let s be z(29). Solve 2*b - 16 = 2*i, 9*b - 11*b + s = -i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 6 - 3)*(12 - x - 117 + 21).\nAnswer: -6*x - 504","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259 is divided by 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -496 (base 13) to base 9\nAnswer: -1077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 + 24. Put v, 1, -4 in decreasing order.\nAnswer: 1, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78172 is divided by 38501.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-5 + 16) - -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 548.3815nm?\nAnswer: 0.5483815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1141 less than -330288931?\nAnswer: -330288930.8859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 45543*b + 1 + 0*b**2 - 45539*b + 8*b**2. What is k(-4)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.4 and -724.\nAnswer: 1737.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2 + 1 - 1 - 8*i. Calculate the lowest common multiple of z(-1) and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1411*u**4 + 10*u**3 - 322*u + 44401889.\nAnswer: -5644*u**3 + 30*u**2 - 322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 12:33 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/5, -5\/6, -1\/40, 1\/33?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1*(-4)\/10*1)\/((-178)\/1780). Let w(s) = -29*s - 4. Let f(r) = -1625*r - 225. Determine m*f(k) + 225*w(k).\nAnswer: -25*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 921 + -833. Let p(c) = -c**3 - 7*c**2 + 13*c - 1. Let w be p(-9). What is the greatest common factor of w and l?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i**3 + 57*i**2 - 190*i + 35. Calculate the least common multiple of 522 and y(7).\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-1603572\nAnswer: 641428.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -207 - -212. Let k(a) be the third derivative of -4\/9*a**3 + 0*a + 4\/9*a**4 + 3*a**2 + 0 - 7\/90*a**p. Solve k(b) = 0.\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 - 2*o + 2. Let i(y) = -11*y**2 + 8*y - 9. Suppose -x + 86 = -t, -5*x - 17 = -2*t - 195. Let z = t - -86. What is z*i(n) + 9*q(n)?\nAnswer: 5*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*m**4 - 114*m**3 + 114*m**3 - m + m + m**4 + (-2*m**4 - 3*m**4 + 4*m**4)*(-1 + 1 - 2) - 6*m**4 + 3*m**4 + m**4.\nAnswer: 23*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -51136 + 5?\nAnswer: -51131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 159 - -50. Let y = i + -120. Suppose 14*z - y = -19. Solve -z*t = -2*d + 3, -2*t - 6 = -0*d + 4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*i - 3, -5*t - 3*i + 24 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9792 divided by -12878.\nAnswer: 4896\/6439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 + (-6 - (-303)\/27)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.11342 and -3.\nAnswer: 0.34026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4258215608 to the nearest integer?\nAnswer: 65255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.527 and -0.02.\nAnswer: -0.01054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b - 3 - 3 + 5 - 4*b. Let q be w(-7). Do q and -7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -902 + 2884 = 325*q - 9718. Calculate the remainder when q is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96848, 194765, 292682, 390599?\nAnswer: 488516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -392 + 234. Is ((-27)\/6 - -4)*h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-118 - 78 + 8)*(-12 + 3 + 0)*(b - 4*b + b) in the form k*b + u and give k.\nAnswer: -3384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/20 of a kilogram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (605\/22)\/11*1\/(-10)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -51\/2920355 less than or equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-2 - (3 - 1)). Let o = 11.7 + -1.7. Let p = o + -10.1. Which is the closest to p? (a) -1\/3 (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 89 (b) 2\/7 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 10) to base 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 - 3*w**2 + 4*w - 2. Let y(k) = -4*k**3 + 7*k**2 - 9*k + 3. Let a = -5 - -1. Let g(d) = a*y(d) - 9*b(d). Is g(0) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 124 = -5*q, -138 = -3*q - 2*q + 4*z. What is the highest common factor of q and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 3, -3, -2 in decreasing order.\nAnswer: 3, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5 + (sqrt(1008) + 1*sqrt(1008) + -5 + 3 - (6*sqrt(1008)*-2 - -1*(0 + sqrt(1008) - sqrt(1008) - sqrt(1008))))*-4)**2.\nAnswer: -1440*sqrt(7) + 3628801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3175803635?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.4339366 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 467547773?\nAnswer: 7, 11, 29, 209381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17, -52, -109, -188, -289, -412, -557?\n\"Answer: -11*g**2 - 2*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**6\/120 + 14*v**5\/15 + 13*v**4\/3 - 23*v**3\/3 - 248*v**2. What is the units digit of p(-54)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*t + 5 + 3, -5*t = -5*w. Suppose -90 = -t*v + 168. Calculate the remainder when v is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 207 (b) 0.2 (c) -1.2 (d) 0.3 (e) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (12\/3)\/4. Solve u = r - 2*b + 8, -r - 20 = -2*r - 5*b for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -4, 299, -13, -7, 5 in descending order.\nAnswer: 299, 5, 4, 2, -4, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*n = 12, -5*x + 132 = 4*n - n. Let t(u) = u - 10. Let h be t(15). Solve -k + 3 = h*d - x, 0 = d + k - 7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4357161.54 minus 464.7?\nAnswer: 4356696.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*x = 143*x + 94. Sort 0, x, 3, 228.\nAnswer: x, 0, 3, 228","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6218323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*d + 2. Let c = -4 + d. Let h(p) = -p**2 + c*p**2 + 3*p**2. Let y(r) = r. Determine y(h(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 1. Suppose 36 = 7*g - 48. Let b(z) = 10*z**2 - 10*z - 12. Let r(c) = g*m(c) + b(c). What is the second derivative of r(q) wrt q?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1075 is divided by 257.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 248761840 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 369375 to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 20, -1\/6, -1?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3, 3, 5, 9?\n\"Answer: j**2 - 3*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -6*v - 4*z, -v - 16*z + 3 = -14*z. Solve -v*s = -33*s + 18*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42618901 divided by -2.\nAnswer: 42618901\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7612815 and 1470.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.718 * -0.2.\nAnswer: -0.7436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 1668*l + 5. Let g be z(4). Let n = g - 146869\/22. Calculate the common denominator of 79\/16 and n.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.1 + -3. Let j = f - 0.3. Let i = -2.22 - -0.22. Which is the third smallest value? (a) j (b) i (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -8*g + 2223. Calculate the remainder when g is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3764.12 weeks to hours.\nAnswer: 632372.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8952339 and 297.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(4 + -3))\/1. Let u(r) = -r**2 + 1 + 7*r - 8*r - w - 1 + 2*r**3. Let d be u(0). Which is the second biggest value? (a) 0.5 (b) 1\/4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c*j**2 + 4*c*j - 2124*c + 74*j**2 wrt j.\nAnswer: 4*c*j + 4*c + 148*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -50 + 4 - (-1 - 13).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 105\/14*(-1 + 10\/6). Suppose 5*f - 36 = -3*x - 7, 2*x + 3*f - 18 = 0. Suppose 0 = s - 1 - 3, h*w - 1178 = x*s. Is w a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56 - (-14607)\/(-261)) + 43\/(-406).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/8*(-4)\/(-3). Let z = -18 - -16. What is the second smallest value in z, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -27. Let w be r\/6 + 1204\/42. Let j = -29 + w. Are j and -1 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/10 and -7\/998.\nAnswer: 4990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -3, 4, -0.8, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 18 = -4*s, -10 = -4*s - v + 12. What is the lowest common multiple of 7 and s?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2. Let q(c) be the second derivative of 2\/3*c**3 + 0 + 0*c**2 - 3*c. Give q(w(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 969572 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) + sqrt(256) - sqrt(16))\/(sqrt(72)\/sqrt(4)).\nAnswer: 8*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -0.3 (c) -1 (d) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (52*c**3 - 15*c**3 + 29*c**3)*(18 + 1 - 329*c + 326*c) as v + d*c**3 + w*c**2 + a*c + l*c**4 and give d.\nAnswer: 1254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 80964 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**15)**(5\/8)*(l\/l**12)**5)**(-20) assuming l is positive.\nAnswer: l**(1825\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7015 - 7553 = -12*k. List the prime factors of k.\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 3:44 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3048.7 - -3114. What is the biggest value in 8, s, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498 is divided by 63.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 383, 352, 241, 2, -413, -1052, -1963, -3194?\nAnswer: -4793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.4 (b) -469 (c) -5 (d) 16 (e) -2\/11 (f) -0.4 (g) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*y**2 + 523*y**2 - 191*y**2 - 118*y**2 - 164*y**2.\nAnswer: -123*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*o + (3 - 1 - 3)*(-o + 1 - 1))*(-2*o**2 + 2*o**2 + 3*o**3).\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**1\/n**(-2\/87) assuming n is positive.\nAnswer: n**(89\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -30 + 1\/2*n**2 + n. Let d(c) be the second derivative of c**3\/3 + 2*c**2 - 2*c. What is 6*b(l) - d(l)?\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - -16. Suppose t*b = 6399 + 2962. List the prime factors of b.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 54860452 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -194 + 197. Find the second derivative of 12*j**3 - 84*j - 4*j - 52*j**u wrt j.\nAnswer: -240*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**4\/8 + 447*d**3\/8 - 63215*d**2\/8 + 2741889*d\/8 - 334890 = 0. What is d?\nAnswer: 1, 80, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 + 58*r + 2*r**2 - 5 + 15 - 4*r**2 + r**2.\nAnswer: 3*r**2 + 58*r + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 364\/(-18) + 12\/54. Suppose 8*x + 12 = 7*x. Let l = x - h. What is the lowest common multiple of l and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 - 31. Let g be 6\/8 - (-6105)\/u. Let c = g + -175. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/622466 and -73\/79032.\nAnswer: 276374904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85.6 + 82.11. Let p = 0.49 + m. Is p >= -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/13 + 2*f**2 + 94*f\/13 + 70\/13.\nAnswer: 2*(f + 1)*(f + 5)*(f + 7)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a**2 + 45*a - 229. Let w be s(13). Calculate the greatest common factor of 129 and w.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3350, 6608, 9864, 13118?\nAnswer: 16370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 272892*n + 3547604. Determine r(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 8*j - 14. Let a be r(4). Let c(w) = -1 - 7*w**a - 5 + 0 - 2 + 6. Let o(p) = p. Calculate o(c(m)).\nAnswer: -7*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 456, 471, 498, 537, 588, 651, 726?\nAnswer: 813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*q**2 + 14*q**2 + 8*q**2 + (2*q**2 + 0*q + 0*q)*(1 - 1 - 2) + 81*q**2 + 27*q**2 - 2 - 9*q**2 as h*q**2 + y + v*q and give h.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36432*5.3.\nAnswer: 193089.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1027 + 1569. Let f = 541.9434 - p. What is f rounded to 3 dps?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -6185?\nAnswer: -1\/1237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.273901ml in litres?\nAnswer: 0.000273901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 - 57. Suppose -54 = -b*f - 30. Put f, 2, 19 in decreasing order.\nAnswer: 19, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 9*n**2. Suppose 2*p + 29 = -3*y - 37, -5*y = 5*p + 160. Let d be 5\/((-75)\/9)*p\/3. Suppose -26 - d = 4*s. Let m(u) = 3*u**2. Give s*m(v) + 3*o(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*d + 140*d = -8040. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2146, -4297, -6448, -8599, -10750, -12901?\n\"Answer: -2151*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g**3 - 9*g + 9*g.\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - s - 3*k - 60, -2*s = 3*k - 40. Suppose s*p - 24*p = -176. Let m be (15\/6)\/5*p\/2. Solve 6*v + 2*g = v + m, -2*g + 7 = v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15 - -1)*(-4 + 6). Suppose -3*j = -0*j - 117. Let z = i + j. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32*(-2)\/4*-1. Let i = p - 8. What is the remainder when 15 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s. Let t be 0 + (-1)\/(2\/(-8)). Suppose i + 0 = b + 3, -5*b - 2*i = -20. Let o(x) = -t*x + 3*x - b*x. Give f(o(q)).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2070084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 1991?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 942447 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 5, 4, -9785054 in ascending order.\nAnswer: -9785054, 4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -110.52 rounded to zero decimal places?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-140)\/(-16) + -8)*4. Suppose 0 = -f*l - z + 3171, 9*z - 4*z = 0. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10207780, -20415610, -30623440, -40831270, -51039100?\nAnswer: -61246930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {h: 3, r: 1, p: 5, t: 8, f: 2, i: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**8\/336 - n**7\/105 - n**6\/24 + n**5\/10 + 132*n**2. Determine h, given that f(h) = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-3)*(-13 + 0). Let i = -26 + 43. Suppose -3*q - i = 2*h, -h + 19 = -2*h - 5*q. Which is smaller: h or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**4\/6 - 45*c**2 - 6336*c. Let y(k) = -22*k**2. Give u(y(m)).\nAnswer: -968*m**4 - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6264 to one dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.984 * -376.11\nAnswer: -746.20224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**4 - 64035*a**3 + 7*a**2 + 116424*a + 3?\nAnswer: -24*a**2 - 384210*a + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 193260 and 980.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 9*y**2 - 287*y + 1418. Calculate b(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 80, 62, 58, 74, 116, 190, 302?\n\"Answer: v**3 + v**2 - 28*v + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 213, 4, -5.\nAnswer: -5, 4, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -130 - -128. Let l(a) = -a**3 - 2*a**2 + 3*a + 2. Let h be l(x). What is the tens digit of (42\/h)\/(25\/(-50))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 23*q + 23. Let p be k(-22). Let v(o) = 2*o**3 - 2*o**2 - 4*o - 4. Let j(z) = -z**2 - z + 1. Give p*v(l) - 2*j(l).\nAnswer: 2*l**3 - 2*l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/5 of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 6, 12\/17, -14216?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 889 and 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241156*x**3 - 241129*x**3 + 482307*x**3.\nAnswer: 22*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(7*s - 4 + 4) + 2*s - s + 2*s + (0 + 4 - 5)*(-s + 4 - 4).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/12)\/(-2*(-5)\/(-90))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/4)\/k*k**4*k)**(3\/5)\/(((k\/(k\/(k*k**4)*k)*k)\/k**(-3\/2))\/(k**(1\/6)*k*k**(-2\/11)*k)) assuming k is positive.\nAnswer: k**(-1693\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 2*i**3\/3 + 11001. Let a(j) = 1 - 1 + 21*j. Calculate r(a(y)).\nAnswer: 882*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277295?\nAnswer: 5, 31, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6*w)**(2\/121) assuming w is positive.\nAnswer: w**(14\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -6. Let k be (40\/(-12))\/(-10)*(-16)\/(32\/(-18)). Let f be 2\/(-4)*0 + 3. Solve -k*m - f = -u*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*u**2 - 31*u**2 + 86 - 9*u**3 + 10*u**3.\nAnswer: u**3 + 60*u**2 + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 + 52 = -8*l. Suppose 15*q - 14644 = l*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x**4 + 0*x**4 - 2*x**4 + (-x**2 + 3*x**2 - 3*x**2)*(-x + x + 2*x**2) - 3*x**4 + 4*x**4 - 2*x**4 + 2*x**4 - 3*x**4 - 2*x**4)*(4*x + 0*x - 2*x).\nAnswer: -2*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6\/14255 + 17112\/14255. Let d = -1697\/5655 - 42\/145. What is the common denominator of d and p?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 741698767.\nAnswer: 741698767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1883 - -1876. What is the second smallest value in 2\/5, 18, s?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-7)\/(v**(-2)\/v))\/(v\/(v**(-7)\/v)*v*v**(-2\/15)))**14 assuming v is positive.\nAnswer: v**(-2912\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 120, 87, 48, 3?\n\"Answer: -3*t**2 - 24*t + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 1, -1415.\nAnswer: -1415, -20, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 210 + 11?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 692569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/3)\/(1\/21). Suppose -4*l + 7 = y, -2 = -2*l + 5*y + o. Let k(x) = 2*x + 1. What are the prime factors of k(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*g = 1, -12*g + 17*g = 0. Let r be -1*8\/4 - 3*d. Let c(x) = -2*x**2 - 6*x + 4. What is c(r)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -312, 262 in descending order.\nAnswer: 262, 4, -312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**3 + x**2 + 8*x - 6. Suppose -2*y = 3*n + 11 - 39, -y - 1 = -n. Let a(c) = 6*c**3 - 3*c**2 - 23*c + 17. Calculate n*a(t) + 17*z(t).\nAnswer: 2*t**3 - t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5075 = 237. What is the common denominator of h\/(-72)*1\/(-4) and 1\/5?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15.5*-97.\nAnswer: 1503.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.658 * -0.2.\nAnswer: 2.3316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 445942120 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6*k**3 - 5*k**2 - 5*k - 4. Let a(d) = d**2 + 10*d + 14. Let h be a(-6). Let l(n) = -2 - 4*n**2 + 3 + n**3 + n + 5*n**2. Calculate h*l(b) - 2*g(b).\nAnswer: 2*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.26 + -19.26. Let v = -18.7 - p. Let y = 24 - 28. Which is the third biggest value? (a) y (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21337?\nAnswer: 19, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of n**4\/2 - 2*n**3 - 9*n**2\/2 + 6*n + 10. Is y(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -615, -617, -629, -657, -707, -785, -897, -1049?\nAnswer: -1247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**4 + 790*x**3 - 19474*x**2 + 105194*x + 125460 = 0.\nAnswer: -1, 10, 17, 369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*u + 4 + 50. Find the second derivative of -30*o**u + 8*o + 3*o + 9*o + 4*o wrt o.\nAnswer: -180*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 705, 1392, 2079, 2766, 3453, 4140?\n\"Answer: 687*a + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 7*q**2 - 12*q + 2. Let s(g) = 3*g**2 + 2*g. Let y be s(-2). Let h(w) = -11*w**2 + 18*w - 3. Let i(u) = y*c(u) + 5*h(u). Determine i(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - d**2 + d + d**2. Let n be s(1). Let z(t) = -t**2 - t + 2. Let f be z(2). Sort f, n, -5.\nAnswer: -5, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 25149852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 287758208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*c*z**2 + 2218*c*z - 2*c - 749*z**2 + 12*z wrt z.\nAnswer: 10*c - 1498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1499080747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 7\/2*l**2 - 8 + 7\/3*l**3 + 0*l. What is the second derivative of z(n) wrt n?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34 + -1003606?\nAnswer: -1003643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2289256?\nAnswer: 2, 67, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 1. Let r(w) = 4*w**2 - 2. Let i(g) = -6*o(g) - r(g). Let q(t) be the first derivative of i(t). Determine q(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25537570 is divided by 1690.\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5*1956926\nAnswer: -9784630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 52 = 9*t. Suppose t*f = -4*d + 3952, -7*d - 12 = -3*d. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*v + 4*v + 0*v)*(4 - 1 - 2) + (v + 3 - 3)*(-3 - 1 + 1) as z + k*v and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1072516.424 + -3?\nAnswer: 1072513.424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + i + 3612, -9*v + 1202 = -8*v - i. What is the greatest common divisor of v and 90?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 + 4*a - 4. Let l(v) = v - 1. Let r(h) = 4*l(h) - s(h). Let c(y) be the third derivative of y**5\/20 + 5*y**2. Give r(c(g)).\nAnswer: -18*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2012040 is divided by 1005423.\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 10 - 50 = 0. Suppose -5*x + 0*x + d = 0. Suppose -u + x = -3. Solve u*o - 39 = -14 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1226a2 - -43?\nAnswer: 122735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7409*y - 1 - 2576*y + 2146*y - 4256*y.\nAnswer: -12095*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13734?\nAnswer: 2, 3, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-60)\/70)\/(-3))\/((-3)\/21).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 4)*(-3*h**2 + 2*h**2 - 2*h**2)*(-3*h + 2*h**3 + 3*h).\nAnswer: -30*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/52 and -51\/169?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + u + 1)*((-3 + 3 + 1)*(1 - 1 + 2) - 5 + 0 + 4 + 0 - 2 + 0 + 308 - 39 + 151 + 236).\nAnswer: 655*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -42*(12\/(-8) - -1).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pf when two letters picked without replacement from {w: 4, p: 3, f: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-180)*-120 - (-8 - -1). Let i(p) be the second derivative of -1\/6*p**3 - 17*p**2 + h*p + 0. Let n(l) = -l**2. Determine n(i(v)).\nAnswer: -v**2 - 68*v - 1156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 26.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 4*g - 2*o, 4*o + 100 = 3*g + g. Solve 4*f = -0*s - 2*s - 16, -4*s - 2*f - g = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 30845*a**3 - 796*a + 796. Let i(t) = 194*t**3 - 5*t + 5. Determine 796*i(g) - 5*u(g).\nAnswer: 199*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6022, 6024, 6028, 6034, 6042, 6052, 6064?\n\"Answer: q**2 - q + 6022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 706 + -690. What is the remainder when 350 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18\/37 + -304\/777. Let d = -402.1 + 407.1. Sort d, -2, 4, c in decreasing order.\nAnswer: d, 4, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11246, -44999, -101256, -180017?\n\"Answer: -11252*t**2 + 3*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29\/9 - -26\/9. Let v = -0.2 - -1.2. Sort v, 5, -5, m in decreasing order.\nAnswer: 5, v, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7*((-888)\/28 - 0). Let k = 245 - y. Sort -5, -4, -3, k in decreasing order.\nAnswer: k, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*l + 10. What is the third derivative of -l*t**4 - 5*t**2 + 2*t**4 + 10*t**4 wrt t?\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, e: 1, f: 1}. Give prob of picking 3 h and 1 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g + 13*g + 4*v + 24 = 0, -11*g + g - 3*v = v - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((5 - 5) + 6 + -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 3, -4, -19, 1 in decreasing order.\nAnswer: 3, 2, 1, -3, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -56*h**2 - 14*h + 12. Let a(f) = 46*f**2 + 18 - 19 - 48*f**2 - f. Let l(s) = 28*a(s) - 2*z(s). Find the first derivative of l(u) wrt u.\nAnswer: 112*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d - 4*d + 2*d + (5 - 6 + 0)*(4*d - 3*d + d) + d - 2*d + 2*d + (4 - 3 + 0)*(3*d - 2*d - 3*d) - 119*d - 66*d + 49*d + 0*d + d + 0*d.\nAnswer: -140*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20212211 + 34?\nAnswer: 20212300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -15. Let o = -238 + 258. What is the lowest common multiple of m and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.24 rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -186\/5 - -37. What is the closest to 2\/9 in 0.11, -3, r?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 - -26. Let p be ((-4)\/(-2) - 0)\/(b - -1). Suppose 5*j + 70 = -p*j. Put -5, -1, j in decreasing order.\nAnswer: -1, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, m: 3, q: 1, u: 1}. Give prob of sequence qqmq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dnnudunuduudnnn. Give prob of sequence dn.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 1 = -9*h. Solve -3*v - 15 = h*q + 2*v, -v - 10 = 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 535 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 11522524?\nAnswer: 11522527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 6*j**2 + 4*j + 7. What is the remainder when c(6) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -1.623331?\nAnswer: -1.623331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 3. Suppose o*y = -4*h - 10, 0*y + 2*y - h - 8 = 0. Solve -c + 2*p + 10 = 4*p, y*c = 3*p - 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*a + 2*g - 4, 4*a - 23 = -g. Let k = 5 + a. What is the third derivative of -k*l**2 - 11*l**6 + 133*l - 133*l wrt l?\nAnswer: -1320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -3)*(-2)\/(-2). Suppose -u*l + 4*l = 6. Let i = -1 + l. Solve m = -2*k - 4, -k - m - i*m - 7 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90686.\nAnswer: 2, 45343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r**2 + r. Let l(g) = 11*g**2 - 2*g. Suppose -x + 3*y = -5, -y + 33 = -4*x + 8*x. What is x*v(d) + 3*l(d)?\nAnswer: d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*5\/1 + 2. Let y = i - -5. Suppose -32 = -5*h - 2*p, -3*h - y*p + 0*p = -20. 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: Collect the terms in -7 - 1 - 364*v - 746*v + 246*v.\nAnswer: -864*v - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 0.3 (b) 2.76 (c) -2\/13 (d) -18 (e) -5 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/12*3*1\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25738.37214 + -0.37214. Let o = t + -25539.13. Let q = 198 - o. What is q rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7436 + 281.1.\nAnswer: 281.8436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 22*x**2 - 398*x - 399. Calculate l(-11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.05*-0.027.\nAnswer: 0.02835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b - 23. Let t be j(-7). Let m = -0.38 + -0.12. What is the biggest value in m, -4\/9, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 11:40 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17692*p - 168 = -17713*p. Solve -p = 4*y + 3*b, 2*y + y - 2*b + 23 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 4. Let o be 2 - (-2)\/(2 - 0). Suppose 2 = -o*q + 3*v - 1, 30 = j*q + 2*v. Let r(n) = n**2 - 5*n + 5. What is r(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 6.3. Let f = 0.37 + -0.07. Let g = f + n. Sort 3, 2\/7, g.\nAnswer: g, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) 0.5 (c) 4\/9 (d) 15835\/8 (e) 1\/4 (f) 3 (g) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 352262, 352264, 352268, 352274?\nAnswer: 352282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i\/(i**(-20)*i*i))\/i*i)\/i)\/(i\/(((i*i*i*i**(-35)*i*i)\/i*i)\/i*i)))\/(i**23\/((i*i*i*i**(-26)*i)\/i)))**(8\/9) assuming i is positive.\nAnswer: i**(-472\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from 757.\nAnswer: 756.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h**3 - 12*h**2 + 17. Let n(w) = -2*w**3 + 3*w**2 - w - 4. Let z(g) = d(g) + 3*n(g). Calculate z(-4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/(-20))\/(1\/2). Which is the closest to -1\/4? (a) -5 (b) 0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3788964*a - 3845567 wrt a?\nAnswer: -3788964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 4\/7*w**2 + 0 - 4\/7*w = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6}. What is prob of picking 3 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 + -8 + (3 - 5). Let g(b) be the third derivative of -b**6\/120 - b**5\/20 - b**4\/24 + 2*b**3\/3 + 2*b**2. Determine g(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2458 and -14?\nAnswer: 2444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3831\/(-12770))\/(15\/6)?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 11*k**2 + 7*k + 37. Let b be d(-11). Let z = b + 64. Calculate the highest common factor of 36 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*h - 6. Suppose -4*r + 1 - 47 = -3*a, 2*r = h*a - 56. Solve -a = -5*u - 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 8:57 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 163345 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c + 3*c - 4*c + c + c + 0*c + (3*c + 2*c - 3*c)*(-11 + 8 - 85) as u + j*c and give j.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -21. What is the biggest value in t, -3\/5, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 19, -8 in descending order.\nAnswer: 19, 5, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*p - 2*p = 298 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -x**3\/24 + 35*x**2\/8 - 33*x + 589. Factor c(i).\nAnswer: -(i - 66)*(i - 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v**3 - 2*v**2 + 4. Let l(g) = -g**3 - g**2 + g + 1. Let s(r) = -3*r**2 - 16*r + 58. Let n be s(-8). Calculate n*l(w) + 2*c(w).\nAnswer: -2*w**3 + 2*w**2 - 6*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 h when two letters picked without replacement from {b: 1, h: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 16587 = m, -m - 5*w - 16582 = -2*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 21 = -19. Let y(u) = 3 + 6 + b - u. Let m be y(17). What is the closest to 0.1 in m, 1\/4, 2\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -8*r - 134. Let b be f(-13). What is the lowest common multiple of b\/8*9856\/(-264) and 112?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.165129 rounded to one decimal place?\nAnswer: -29.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 15 = -3*h, 3*h - 3*m = -2*h - 17 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, -0.3, -2\/17, 13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1129 (base 16) in base 7?\nAnswer: -15544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 1. Let l(x) = x - 2. Let f(y) = -3*l(y) - 6*t(y). What are the prime factors of f(8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 2*t + 688, 2*b - b + 232 = -2*t. Round b to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4123 and 1953.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*m + 2. Suppose -5*i + 3 + m = 0. Suppose -i = -2*t + 5. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (4 - 7) + 13 - -10.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1802*g**4 - 1805*g**4 + 16*g**2 + 47*g - 13*g**2 as c + s*g**4 + m*g**2 + r*g**3 + z*g and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + 1. Let w(f) = 3*f**2 + f + 1. Let s be w(-1). Solve -l = s*a + a + 3, 0 = -3*l + p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*q**5 + 32890*q**4 - 2372900*q**3 + 1567320*q**2 = 0. Calculate q.\nAnswer: 0, 2\/3, 74, 2118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a hour in seconds?\nAnswer: 49500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 4*u - u)*((-2 + 2 + 2*u)*(-3*u - u + 3*u) - 4 + 4 + u**2).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8996790 and 3980.\nAnswer: 1990","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9388368 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-9)\/(-3)*-1)*3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -728207.\nAnswer: -72820.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -195 + 206. What is the smallest common multiple of 9 and t?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1168105 is divided by 583976.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 3*y + 15, 10*u - 5*u = y + 27. Suppose -8*p + 30 = -6*p. What is the greatest common divisor of u and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-87 - 6) + 527 + -468.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6833, 13720, 20605, 27488, 34369, 41248, 48125?\n\"Answer: -z**2 + 6890*z - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*n - 3, 3*n - 5*w = 26 - 2. Differentiate -16 - 7*v**2 - n*v**2 + 1 + 24*v**2 wrt v.\nAnswer: 28*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**2 + 13*u - 68 = 0. Calculate u.\nAnswer: -17, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19226 + -19200 - (-1 - -1 - 7)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 7. Solve d = -2*s + l - 7, 0*l = -s - 4*l + 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/5 + 3044*u + 45678\/5.\nAnswer: -2*(u - 7613)*(u + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0261169 + -16.5726431. Let n = 16.6 + q. What is n rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.4, -112\/5, 8, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408633.\nAnswer: 3, 19, 67, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69800 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + 1.3. Let q = -0.259 - -0.269. Sort f, 5\/2, q in ascending order.\nAnswer: q, f, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 14 - 2*f - 5\/6*f**3 - 7\/12*f**4 - 3\/2*f**2. Let b(j) = 8*j**2 + 6*j + 3. Determine 5*b(w) + 6*s(w).\nAnswer: -2*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 25*t**2 + 19*t + 28. Let m be b(-24). Suppose -6*q - m + 796 = 0. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h - 20\/7 - 2\/7*h**2.\nAnswer: -2*(h - 5)*(h - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199949940 to the power of 1\/3, to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-2 - (-4 + 2)) - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**4\/14 - 4*z**3\/21 - 3*z**2\/7 + 4. Factor s(u).\nAnswer: 2*u*(u - 3)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.25 (b) -3 (c) -2\/11 (d) 10328 (e) -4 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -3\/5*f**5 + 0*f**2 - 122 - 5*f**4 + 112*f + 0*f**3. Differentiate p(y) with respect to y.\nAnswer: -12*y**3 - 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*b + 54*b - 481*b - 1039*b - 794*b.\nAnswer: -2313*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/5*(-10)\/3. Let d(j) = -j + j + l - j. Let y be d(4). Solve -4*n - 3*q + 0*q - 1 = y, -1 = 5*n + 4*q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.985 - 0.015. Put -12\/7, 0.1, d in decreasing order.\nAnswer: 0.1, -12\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 1)*(0*k + 3*k - 4*k) - 3*k + 4*k + 0*k)*(-k**3 - k**3 + 0*k**3)*(-2*k + 0*k - 3*k).\nAnswer: 20*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**4 + 0*m**4 + 2*m**4 + (-m**3 - 2*m**2 + 2*m**2)*(m + 2*m - m).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-2 + -2)) + 4 - (71 + -72)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 20 = -0*j. Find the common denominator of (33\/6)\/((-3)\/j) and (-69)\/(-5) - (0 - -2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bdpmpxu. Give prob of picking 1 m, 1 d, and 1 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gguggugugguugggggg. Give prob of picking 4 g.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 4153844?\nAnswer: 4153845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1456999 to the nearest integer?\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-8\/7))\/c)\/c)\/c*c**(1\/3) assuming c is positive.\nAnswer: c**(-11\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)*-2)\/sqrt(2))\/sqrt(2).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -466189 rounded to the nearest one thousand?\nAnswer: -466000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 967.8649mg to kilograms.\nAnswer: 0.0009678649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13895595151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208 and 8541088.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 677296665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -28*h + 167. Is j(-39) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*c = -17144, 0*p + 3*c = -4*p + 17141. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -184 and 16.7?\nAnswer: -3072.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/21 (b) -2 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-8\/3)\/k)\/k*k*k**(-6))\/(((k\/(((k**(7\/5)*k)\/k*k*k)\/k))\/k*k)\/k**10) assuming k is positive.\nAnswer: k**(26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-84)\/176*(1 - -5) + 2 and -91\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a*a**(-1\/15))\/a*a*a)\/a)\/(a*a**(1\/5)))\/(a\/(a\/a**(-9\/2))*a**9))**50 assuming a is positive.\nAnswer: a**(-715\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3445*a - 82683. Determine n(-24).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z. Let i be ((-68)\/(-3) - 2)\/(16\/24). Suppose 5 = d - 2. Let q(t) = -i + 31 - d*t. Determine q(y(p)).\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*y + 2*a = 65*y - 18, -a = y - 12. Solve o = 2*h + y, -2*o + 4 = -3*h - 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-40)\/16*(-72)\/(-30). Let y = 7 - 4. Let q(d) = -3*d**3 + 0 + 2*d**y + 4 - 6*d**2. Calculate q(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 20 = 2*n - 28, 3*t + 6 = 0. Suppose 4*v - 2*v - 32 = -4*w, -5*w + 2*v = -n. Calculate the remainder when 7 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*i + 0*i - 9 = 0, 3*p - 19 = 4*i. Let o = p - 8. What is the third smallest value in o, 5, 2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -16. Let t(g) = g**3 + 3*g**2 - 5*g + 5. Let i be t(-7). Let r = i - -221. Calculate the highest common divisor of r and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u + 2 - 2)*(90*u - 214 + 214) + (-5*u + u + 5*u)*(3*u + 3*u + 2*u) to r*u**2 + c + i*u and give r.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -99 - -260. What is the highest common factor of 7 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23206 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3005*c + 348729. Give l(-116).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 3*p**2 - 41*p - 16. Let h = -923 + 915. Give l(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, a: 7, z: 3}. What is prob of picking 2 q?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 57 = 9*w, 2*w = 6417*z - 6412*z + 31 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(80\/(-540))*-2)\/15?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 23*i**2 + 12*i + 7. Is b(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**5 + 87*s**4 - 198*s**3 - 348*s**2 + 744*s = 0.\nAnswer: -31, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74307 and 846?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0310656 and 0.5.\nAnswer: 0.0155328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -2*m**3 + 3*m**2 + 4*m - 3. Let t(p) = p. Let s(o) = -8*t(o) + u(o). What is b in s(b) = 0?\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 257 + -170. Which is smaller: 86 or n?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-52 + 14 + 0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -9*s + 41. Let t(i) = -i**2 - 4*i + 4. Let n be t(-4). Suppose 2 = -2*w - 2, 52 = 4*q + n*w. Calculate the remainder when q is divided by m(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 775855188 to the nearest integer?\nAnswer: 919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**2 + 9*k**2 + 9*k**2 + 2*k**2.\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - k = 3*i + 38, -3*k = -i - 5. Let o = -15 - i. Suppose -5*y = -14 - 16. Calculate the highest common divisor of o and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101894.5 millilitres in litres?\nAnswer: 101.8945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6558*v*y**3 + 29534*v*y + 439129149*y**3 with respect to v.\nAnswer: 6558*y**3 + 29534*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 140545 + -53988819\nAnswer: -53848274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1618*l**3 + 810*l**3 - 6*l**5 + 811*l**3 - 24*l + (3 + 1 - 3)*(2*l**5 + 2*l**5 - 5*l**5).\nAnswer: -7*l**5 + 3*l**3 - 24*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71490, 145492, 219494, 293496, 367498, 441500?\nAnswer: 515502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 46*d**2\/3 + 51478*d\/9 + 1492\/9.\nAnswer: 2*(d + 373)*(69*d + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18 - 1*(-2 + -1). Solve 6 - w = 3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, 1, -132, -3395 in ascending order.\nAnswer: -3395, -132, 1, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 695 - 692. Let x(k) be the second derivative of -4*k**2 + 0*k**p - 1\/12*k**4 + 6*k + 0. Differentiate x(d) with respect to d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - 4 - (-639 - 4). Suppose -3*j + y = -678. Is j a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.513, 1\/3, 34, 2\/9, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-2\/7))**3*p**(-7)*p\/(p*p\/((p**(-1\/4)*p)\/p)*p*p)*(p**(-7\/4)*(p\/p**(2\/21))\/p)\/(p*p**(2\/5)*p)**(-48) assuming p is positive.\nAnswer: p**(11366\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -6*g**2 - 11*g. Let o(b) = 7*b**2 + 12*b. Let x(z) = 6*f(z) + 5*o(z). Let q(a) be the first derivative of a**2\/2 - 35. What is q(x(s))?\nAnswer: -s**2 - 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 times 53\nAnswer: 5.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*w = 36 - 13, 4*h - 28 = -4*w. Let x = 1 - -1. Suppose -h*k + 135 = 3*i, -5*i + 0*i = x*k - 85. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**2 - 22*l**2 + 0*l**2.\nAnswer: -26*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 34304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/6, 0.9, -4\/5, 0.3, 2.4?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 - 1322400?\nAnswer: -1322386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 8*u + 25. Let w be x(0). Let q = 17 + 8. What is the greatest common divisor of q and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w**2 + 57*w - 243. Calculate v(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxmmmxmmm. What is prob of picking 2 m?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + 1*sqrt(2448) + -2 + (-1*sqrt(2448) + sqrt(2448))*1 + sqrt(2448)*1 + -5)**2.\nAnswer: -29739 + 1584*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -i**2\/2 + 1. Let w(c) be the second derivative of c**3\/3 + 81*c. Determine y(w(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -11*o**2 + 49*o - 381. What is c(7)?\nAnswer: -577","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = p - 6*p. Suppose 177 = 5*b - o, 0*b + p*o = 4*b - 144. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 22 + 12\/(5 + -1). Suppose q + k = 6*q. Suppose -261 = -3*x - 2*h, 0*x + 2*x = q*h + 155. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 less than 34?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 686?\nAnswer: -3\/686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 1:21 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167298 is divided by 956?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-6264)\/(-243) + -25)*-9\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.3 (b) -5 (c) 0.1 (d) -5\/3048\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, 1.5, 0?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.02, -0.3, -0.53 in descending order.\nAnswer: 3, -0.02, -0.3, -0.53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1688168 and 136.\nAnswer: 1688168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*r + 541*r**2 - 269*r**2 - 2 - 271*r**2)*(r**3 - 2*r**3 - r**3).\nAnswer: -2*r**5 - 98*r**4 + 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 1. Let b be s(-5). Suppose 0 = 2*l - 6 - b. Suppose 0 = 5*z - 76 + l. What is the highest common factor of 35 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -279? (a) 11 (b) 3 (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*f - 28 = 389*f - 195*f + 2*l, 3*f = -4*l - 60 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-30\/11))\/((b\/b**(1\/7))\/b)*(b\/(b\/b**(-1\/13)))\/b**(1\/28) assuming b is positive.\nAnswer: b**(15045\/4004)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -108651.0134 rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -20642, -20946, -21316, -21752, -22254?\n\"Answer: -33*i**2 - 205*i - 20404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(68)*-1 + sqrt(68))*3 - 6*-2*sqrt(68))\/(sqrt(48)\/(sqrt(72)\/sqrt(6)) - (sqrt(64) - sqrt(4))*4).\nAnswer: -12*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 27*w**2 + 6*w + 2. Give i(3).\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*n - 3*g, 4*n + 31 = -2*g + 11. Suppose -4*u + 5*p = -21, u - 2*p = p + 7. Let o = -3 + 3.1. What is the closest to o in u, n, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-10) + (12\/20 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -k**3\/2 + 183*k**2\/4 - 286. Factor m(p).\nAnswer: -3*p*(p - 61)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -65*x - 949. What is z(-16)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.4 + 10.4. Let c be (-6)\/(-1) - (7 + -4). Put -0.1, c, f in ascending order.\nAnswer: -0.1, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 3*g**3 + (453 - 453 - 69*g)*(3*g**2 - 4*g + 3*g - g**2).\nAnswer: -135*g**3 + 69*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1865*t = 611*t - 304*t + 15996 + 40476 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1*sqrt(12))**2 + (sqrt(120)\/sqrt(5))\/sqrt(8)).\nAnswer: -24 - 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 121145345?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 57 - (5 + -2 + -2). Let a = j - 40. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5568 is divided by 1263.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 9*k - 55. Let j be n(6). Let g = 2656\/15 + -177. Which is smaller: g or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -252 + 220. Let o be (-18)\/(-99) - z\/66. Sort -75, o, 0 in increasing order.\nAnswer: -75, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*p + 50. Suppose 5*h + 0 = p. Suppose 0 = h*m - 3 - 1. Solve m - 6 = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0894569038 rounded to 3 decimal places?\nAnswer: -0.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -90*r**2 + 2177*r - 725. Let b(l) = 39*l**2 - 1090*l + 363. Let w(i) = 7*b(i) + 3*u(i). Find h, given that w(h) = 0.\nAnswer: 1\/3, 366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 209\/4 + -499\/12. Which is the closest to k? (a) 1\/8 (b) -8\/7 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 75\/(-10)*4\/(-6). Suppose -v*n = -2*n - 18. Let x(z) = 2*z**2 - 16*z + 5. Let k be x(8). Solve 2*s - 6 = 2*l, s - k - n = 5*l for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*v**4 + 469*v**3 - 2*v**2 - 68*v - 2699748 wrt v?\nAnswer: 16*v**3 + 1407*v**2 - 4*v - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -331*r**6 - 824*r**2 - 1659*r**2 - 1998*r**2 wrt r?\nAnswer: -39720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -351d5 (base 14) to base 10.\nAnswer: -129351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.6 and 435877 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 1 + 7. Suppose -11 = -3*f - 5. Suppose 0 = -f*n + 10 - 4. Put n, v, 2 in ascending order.\nAnswer: v, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*f**3 + f**2 + 1076 - 547 - 553 - f**4 + 0*f**2 to b*f**2 + l + i*f + j*f**4 + k*f**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*u + 96 = 0, -3*r - 5*u + 55 = -50. What is the greatest common divisor of r and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 1.6. Let r be -14 + 12 - (-1 + 1). Let c be (-200)\/(-52) + r\/(-13). What is the closest to -0.3 in c, -0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/7760 and -67\/56510.\nAnswer: 43851760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 21*k + 38. Let a(q) = -20*q**2 + 2*q - 2. Let s be a(1). Let w be i(s). Calculate the highest common factor of 6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence agv when three letters picked without replacement from {g: 1, v: 4, a: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 165443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78 + 100. Calculate the least common multiple of 8 and i.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -274116 at most -274125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(475))**2 - sqrt(209)\/(sqrt(55)\/sqrt(5)))*1.\nAnswer: -sqrt(19) + 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 492\/(-27) + (-4)\/(-18). Let f(u) = -2*u - 24. What is the remainder when 45 is divided by f(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a - 60. Let q(b) = 2*b**2 + b - 1. Suppose 3*f - 6*f = -9. Let j(p) = -7*p**2 - 3*p + 3. Let h(v) = f*q(v) + j(v). Calculate k(h(w)).\nAnswer: -w**2 - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*a - 94*a + 152*a + 7*a**2 - 96*a.\nAnswer: 7*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 2*h = -3, -29*h - 3 = -5*u - 31*h for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44978\/21 + 240827\/105. Let d = -665389\/150 + l. Find the common denominator of -19\/40 and d.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78.5 times 11\nAnswer: 863.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 divided by -1.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.048, 1, 4 in decreasing order.\nAnswer: 5, 4, 1, 0.048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-1360876.\nAnswer: 136087.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(1\/8)*m)\/(m\/(m*m**(-2\/21)*m)))\/(m*m**(3\/14)*m**(1\/24)*m))**1 assuming m is positive.\nAnswer: m**(65\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 7669*r + 4 + 8 + 20*r**3 - 7669*r as w*r**2 + u*r**3 + d*r + p and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 898649 is divided by 27227?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3240)\/75)\/((-6)\/20). Suppose 4*s + b = 7*s. What is s rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 8 - 14 + 2*l**3 + l - l**3 to the form h + y*l**3 + a*l + g*l**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5252735 divided by 2.\nAnswer: 5252735\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14194\/(-1057)*14\/2. Which is smaller: -10 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -85446*h**2 - 2*h - 42026 wrt h?\nAnswer: -170892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1300) + 1 + 5*sqrt(1300)*2 + sqrt(1300))*-6 + 0.\nAnswer: -720*sqrt(13) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from sppppcmpppmpspppcp.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**5\/3 + k**4\/3 - 5*k**3\/3 - 5*k**2\/3 + 4*k\/3 + 4\/3 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1594257 is divided by 335.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -231 + 546. Calculate the greatest common factor of 35 and h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/6)\/(3\/9). What is the third derivative of -h*c**2 + c**4 - 3*c**4 + 0*c**4 wrt c?\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8221344, -8221350, -8221354, -8221356, -8221356?\n\"Answer: g**2 - 9*g - 8221336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6 = 4*u - 10, 60 = 4*p + u. Calculate the greatest common factor of 24 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + 6. Suppose 219 = 3*a - 2*h, 3*h - 7*h = -12. What is the highest common divisor of u and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -6697*c - 1037951. Give r(-155).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (6 - 0) + 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(1\/4))**1*(s**(-1))**(-1\/10))**(1\/21))**(-12) assuming s is positive.\nAnswer: s**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(sqrt(5) - sqrt(20)))\/(sqrt(24)\/((sqrt(4) - sqrt(36)) + sqrt(4))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 39?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -243161\/165 + 4421\/3. What is the smallest value in t, -1, 1\/10, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 316777985 to the nearest integer?\nAnswer: 17798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) -2 (c) -2\/11 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -21*a + 600. Let g be v(11). Calculate the highest common factor of g and 328.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 6*p**2 + 4*p + 1. Let g be n(-5). Let v be (-2 - 0 - -3)*4. Suppose -4 = -v*a + 20. Calculate the greatest common factor of a and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(4*sqrt(1000) - sqrt(1000)) + 5)**2.\nAnswer: sqrt(13)\/3 + 22513\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 152632?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x*x**1)**24)**(-9) assuming x is positive.\nAnswer: x**(-864)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 312501619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -2*g - 82, 184 = -379*g + 375*g + 9*m for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t. Let b(f) be the third derivative of f**4\/8 - f**3\/3 + 8*f**2. What is -b(y) - 2*l(y)?\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29.4 - -290.4. Sort -1\/5, -0.4, j in decreasing order.\nAnswer: j, -1\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52552771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 11:49 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 165\/2 - 82. Suppose 4*a - 8 = 2*a - 5*z, 5*z = -5*a + 20. Suppose -1 + 5 = -a*v. What is the nearest to b in 4, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4504*i**3 - 28777*i**2.\nAnswer: 27024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*h**3 - 281*h**3 + 66*h**3 + 60*h**3 + 88*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13361.37 rounded to the nearest 100?\nAnswer: 13400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**3 + 198*w**2 + 608*w + 408 = 0.\nAnswer: -2, -1, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 42. Let c = -27 + y. Let q be 2 + 1\/((-2)\/3). What is the nearest to -1 in c, q, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 l when three letters picked without replacement from {l: 12, g: 7}?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*i - 3*i + 20824 = 0. Is 81 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -7. Let a = -215509581.00000055 - -215509576. Let h = k - a. What is h rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*p + 1733614 + 4026036 = 0. Round p to the nearest 100.\nAnswer: 44300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -13. Is (n\/3 + 4)*-1623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-112))\/(6 + (-4599)\/766). Let z = -87\/7 - n. Which is smaller: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*x - 11 = 15, d + 2*x - 11 = 0. Solve 0 = q + d*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908436.\nAnswer: 2, 3, 75703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 981713 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2) - 81\/(-6). Let r = g + -10. Let q be 120\/560*7\/((-84)\/16). Which is the nearest to q? (a) r (b) 1\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 8:51 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g + 12. Let v be q(-9). Suppose 0 = 3*n - 3, -2*n - 35 = -c + 10. Is v equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 + 0*o**2 + 0*o**2)*(0*o**3 - o**3 - o**3 + (3*o**2 + 2*o**3 - 3*o**2)*(1 - 1 + 2)).\nAnswer: -8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 + 566351\/13065 - 2\/5?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.72 - 7.72. Let v = -92 - -88. Which is the nearest to x? (a) 1 (b) -1 (c) -3.9 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 5*a**2 - 5*a - 2. Let j be w(-4). Solve j*m = -m + 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 185 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*k = -5*v + 22*k - 4, -k = 4*v - 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46824319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*q - 451, -q - f + 50 + 54 = 0. Let i = -34 - -41. Let y(g) = 2*g**2 - 8*g - 5. Calculate the remainder when q is divided by y(i).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -772376 by 67.\nAnswer: -11528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4334669434.\nAnswer: 2, 2167334717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2 + 2*t + 2. Let s be v(2). Is s\/(-4) - 21\/(-2) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8279101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 535 = u, 0 = 4*h + h - 5*u - 885. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3450\/90 + -39 + 68\/(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -2. Let x = -32\/5 + h. Let u = -4 - -3. Sort x, -2\/7, u.\nAnswer: u, x, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 4271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 69593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 - 40. Sort 0.1, l, -0.5.\nAnswer: l, -0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 61*y - 7\/6*y**3 + 5\/2*y**2 + 0. Let l(r) = 20*r - 14. Determine 11*a(i) + 4*l(i).\nAnswer: 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 12*j**3 - 506*j**2 + 4176*j - 682 = 0.\nAnswer: 1\/6, 11, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/16*910\/210?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 188239 and 975241.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -99*c + 39*c - 92*c + 1976 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 174*n + 938. Give q(-6).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2970 in -1\/3, -0.05, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 8:25 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 16 = -3*b. Suppose 0 = 2*h - b - 4. Suppose 5*d - z = -20, -16 = h*d + z - 0*z. Which is smaller: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16067 divided by 1.\nAnswer: 16067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 2*s**2 - 6*s - 3. Give t(-5).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -3 - (-27 - -10 - -44)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.11 - 0.61. What is the nearest to 0 in -3\/2, -0.2, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(1053) - sqrt(13)) + (sqrt(13) - (-2 + (sqrt(117) - sqrt(13)))) - -6*(4*sqrt(1911))\/sqrt(3))**2 + 2.\nAnswer: 1050*sqrt(13) + 398136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -1.95. Let x = -10 + 14. Suppose 2*j = -x*n, j - 4*j + 4*n - 20 = 0. Which is the nearest to 2\/7? (a) h (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -109 or -108?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*m = 28*m - 69*m + 924462. List the prime factors of m.\nAnswer: 2, 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/9 and ((-3)\/(-30))\/((-10)\/(-430)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62 by -33.\nAnswer: 62\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-3))\/((-3)\/(-45)). Suppose 0 = z*l - i - 8 - 0, 0 = -4*l + 5*i - 2. Suppose -5*q - 39 = -p - q, l*p + 2*q - 28 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/2)\/y)**(3\/16)\/(y**4*y**(-1\/9)) assuming y is positive.\nAnswer: y**(-1147\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*sqrt(567) + sqrt(567)) + (sqrt(567) + sqrt(567) + 2 + -3)**2 + -3 + -4 + 4 + -5.\nAnswer: -36*sqrt(7) + 2261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14142, -56595, -127344, -226389?\n\"Answer: -14148*k**2 - 9*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, -1, -20, 1, -4 in increasing order.\nAnswer: -20, -4, -1, 1, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00015651 rounded to five dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -0.1 (c) -1\/6 (d) -65.5 (e) 0.39 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkki when four letters picked without replacement from {u: 8, x: 2, k: 4, i: 2}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12 + 3 - -9 - (-304)\/(-52)) + 6. Which is the nearest to 26? (a) -1\/8 (b) z (c) -3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6329297206 + -1776.\nAnswer: 6329295430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 + 52. Suppose -2*d + 3*d - 2*l - 190 = 0, -g*l + 922 = 5*d. Suppose -11*u + 8*u = -d. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**2\/13 + 310450*l\/13 - 10863300\/13 = 0. Calculate l.\nAnswer: 35, 155190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttgtttttttggtgtggt. What is prob of sequence tg?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -3*w**4\/8 - w**3\/2 + 17*w**2 - 2. What is z(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4 - 2. Let l be -1*(-1 + a) + 0. Suppose -4*m + 1 = -5*g, -g - l*m + 7 + 8 = 0. Solve -s + 3*s = 5*w - 15, 3*s - g*w = -9 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.4 - -3.3. Let x = d + -0.9. Let w = 29603 + -29599. What is the second biggest value in w, x, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 25*t**4\/4 - 10*t**3 + 6*t**2 - t. Factor x(m).\nAnswer: 3*(5*m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 (base 10) in base 5?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3110 - -3195.71. What is q rounded to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-14) - (-360)\/(-84)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + sqrt(1700)).\nAnswer: -30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -17 (c) 3\/4 (d) -21.0513 (e) -0.4 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*n - 181 = -5*g, 0 = n + 4*g - 92. Calculate the greatest common divisor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 2)*(-5*i + 2*i + 2*i + 83) to a + b*i and give a.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aoaqaqqaaaaoqoqa. What is prob of sequence oo?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a - 6. Let y be c(-6). Suppose 4 = 3*f - y*f - 2*r, f = -5*r - 10. Solve 5*i = -4*k + i + 8, f = k + 4*i - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/26 and 62\/5.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2184\/(-65))\/21*15\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4da9 - -3?\nAnswer: 4dac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41503 and 5082.\nAnswer: 249018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 91389.93 minutes?\nAnswer: 5483395800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23138, -23090, -23068, -23120, -23294, -23638, -24200?\nAnswer: -25028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-52)\/(2 + 2). Let j(o) = -11*o + 10. Let m be j(y). Let t = m - 90. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 1 - 13. Suppose 2*o - 10 = j*n + 2, 0 = -5*o + 15. Is 16 - (-3 - n)*-4 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -27 and -1.9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23040 and 89856.\nAnswer: 898560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*h + 18 = 0, 2*u + 31*h - 26*h - 11 = 0. Is (-28504)\/(-24) + u\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 6 = 12*o. Suppose 0 = 4*s - 20, o*d + 4*s = 445 + 385. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -13*o**3 - 5*o**2 - 32*o - 119. Give l(-4).\nAnswer: 761","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -6*z + 2*z, 3*a + 64 = -5*z + 74 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 640350 (base 7) to base 3.\nAnswer: 12121202100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**3 + 8*u**2 - 41*u + 110. Let v be l(3). Solve 0 = 10*d - v*d - 40 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -317.\nAnswer: -5\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {c: 4, h: 3, v: 13}.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 9:47 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 138 = -140 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1160)\/(-16)*(-8 + 82) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*1*9\/(-18) + (-4186)\/(-414).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (261*i**3 + 462*i**3 + 23*i**3)*(i**2 - 4*i**2 + i**2).\nAnswer: -1492*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375*h + 163*h + 23520 = 314*h for h.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-1157)\/(-78)*15. Let z be (-1 + 14\/8)*4. Suppose 43 = -z*q + o. Is 17 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(13) + sqrt(65)\/(sqrt(20)\/sqrt(4)) + sqrt(13)).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 6. Let x = 105 - 63. Let t = 37 - x. Let d(q) = 2*q + 9. Determine t*d(l) + 8*u(l).\nAnswer: -2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - o = x + 2, 0 = -x - 2. Let r = o - -5. Suppose -4*g - 25 = -4*b - r*g, 0 = 3*b - 2*g - 27. Solve 0*n - b = 5*d - n, 5*d = 2*n - 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27518 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: Let r(m) = m**3 + 7*m**2 + 6*m - 1. Calculate the least common multiple of r(-5) and 1.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -214332 - 522?\nAnswer: -215254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 448?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 10*h - 15. What is the remainder when 35 is divided by w(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2187 = 179. Is 34 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 9\/(-6))*-2. Suppose 3*a = 4*v - 332 + 801, p*a - 338 = 3*v. What is v rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 159 by -3.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u. Let d(t) = t**3 - 4*t**2 - t + 0*t - 5*t - t. Let w be d(5). Let o(h) = -h**2. Let s(k) = -8*k**2. Let x(q) = w*o(q) + s(q). Give j(x(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/3 (b) -2\/41 (c) -6\/7 (d) -0.3 (e) -2\/3 (f) -2\/5 (g) -8\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6951.981um to kilometers.\nAnswer: 0.000006951981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 38*v + 14*v - 21*v + 41 - 2*v**2 + 5*v wrt v?\nAnswer: -4*v + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 72 = 3*p. Calculate the greatest common factor of 42 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 423278367*c**2*v - 127633246*c**2 wrt v.\nAnswer: 423278367*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -253*i**2 - 380*i - 12. Let v(t) = 254*t**2 + 373*t + 8. Let s(r) = 2*n(r) + 3*v(r). What is the second derivative of s(x) wrt x?\nAnswer: 512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46.8 + 44. Let g = a + 3.8. What is the nearest to g in 1\/5, -4\/9, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {t: 1, n: 2, k: 5, g: 1, h: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 0*s - 3*s)*(5 - 1 - 3)*(149*s + 353*s - 134*s).\nAnswer: -736*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52 (base 8) to base 2.\nAnswer: -101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -9*f**3 - 8*f**2 - 11*f + 6. Is u(-3) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/45*(-20)\/(-6))\/((-6)\/(-18))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 4, 2\/15, 1, 0.2053, 62 in ascending order.\nAnswer: -5, 2\/15, 0.2053, 1, 2, 4, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0894 times 60675?\nAnswer: 5424.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -10*k - 20. Let t be y(-2). Solve t = 3*v - 3 + 15 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (6*(sqrt(76)*1 + -2 + -4 + -2*5*(-1 + sqrt(76))))**2.\nAnswer: -5184*sqrt(19) + 222188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5147 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17, -0.03, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2772 and 539?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.321 - -21.979. Round p to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4.3, -1, 1\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -196 - -442. What are the prime factors of u?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -427 and 3.\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddqd. What is prob of picking 3 d and 1 q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rmmvmcmd. Give prob of sequence rmvm.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 26918211 + -2\nAnswer: 26918209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2504628 is divided by 730.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**4 - u**2 - 2*u - 1. Let w(h) = -65*h**5 + 3*h**4 + 3*h**2 + 62*h + 3. Let k(c) = -3*v(c) - w(c). Find the second derivative of k(p) wrt p.\nAnswer: 1300*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -85, -86, -77, -46, 19, 130?\n\"Answer: 2*t**3 - 7*t**2 + 6*t - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -132.1 + 131.82. What is the nearest to -2 in j, 0.4, 1\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/6510 and 61\/1330.\nAnswer: 123690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3371 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17218.218s in minutes?\nAnswer: 286.9703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3611?\nAnswer: 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52 + -52. Suppose -5*q + a = 20. Let b = -91 - -93. What is the second biggest value in -2\/3, q, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -100 - -102. Let l be -2*((-5)\/b - 0). Solve 4*w = l*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -261 by -55394.\nAnswer: 261\/55394","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 - 9 = 3*r. Let s = -13 + r. Factor 5\/2*x**s - 3\/2*x - 1.\nAnswer: (x - 1)*(5*x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21614507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f - 4 + 0*f - f - f**3. Let j be c(-3). Calculate the highest common divisor of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 315 and 35.\nAnswer: 11025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11000 - -1021112000102?\nAnswer: 1021111212102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18\/15)\/(15\/50). Let w be g*-1 + 276\/3. Let m = w + -40. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l**8)\/l)\/(l\/(l**18*l)*l)*(l*l**(2\/49))\/(((l**(5\/6)*l)\/l)\/l) assuming l is positive.\nAnswer: l**(8293\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9645673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 561411.4 micrograms in nanograms?\nAnswer: 561411400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 44\/12 - 4\/(-12). Solve -a*u = -0 - 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 1125 - 827. Calculate the remainder when c is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-1\/3))\/s*s**0)\/(s**(2\/3))**(-3\/5) assuming s is positive.\nAnswer: s**(11\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 852.006ns in seconds?\nAnswer: 0.000000852006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/(-12))\/((-93)\/(-310)). Put -2, -5, c, 3, -4 in decreasing order.\nAnswer: c, 3, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -691 (base 12) in base 8?\nAnswer: -1715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*n**4 - 12*n**3 - 3*n**4 - 4*n**2 + 2*n**2)*(-1 + 4 - 5) as p*n**4 + r + h*n + k*n**3 + y*n**2 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -541 (b) 0.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1142096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -3461, 10, 6, 5 in decreasing order.\nAnswer: 11, 10, 6, 5, -3461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -16*n + 35. Let f be d(5). Let q = -17 - f. Suppose -q*a = -32*a + 808. What are the prime factors of a?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (((sqrt(350) - (-1*sqrt(350) + sqrt(350))) + 1*(sqrt(14)*1 - sqrt(14)))\/(sqrt(40)\/sqrt(5) + -2*sqrt(162)))**2)*6.\nAnswer: 3597\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d + 2. Suppose 2*t + 8 + 2 = 0. Let f(c) = -2*c - 5. Let x be f(t). Calculate the smallest common multiple of o(x) and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*n - 28 = 0, 22 = -2*p + p + 5*n. Suppose -5*y + 2*y - 17 = 4*r, -18 = -3*y + p*r. Which is the second smallest value? (a) 0 (b) -2\/7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.9 in 0.41, 1, 0.658?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -48*x + 6. Let f be z(-3). Suppose f = 5*p - 0*p. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*v + 29*v - 1236 = -23*v for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-9) + 47\/9. Let j be (-1 - 0)*(3 - o). Suppose j*r + 2*r = 176. What is r rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8399742, 16799503, 25199264?\n\"Answer: 8399761*n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**5 - 2*a**4 - 43789*a**3 - 11930129*a**2 + a.\nAnswer: 120*a**2 - 48*a - 262734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 9*v + 153 = 0, -5*u + 16 = v - 2*v + 33 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = l - 4*l. Suppose 3*b + 4*k + 2 - 1 = 0, l*k = -12. Suppose 0 - 10 = -b*r. Solve 0*o - r*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 94 + -74. Solve 7*h + u = 2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 1 - -10)*-1. Let z(x) = 2*x + 10. Let o be z(f). Which is the nearest to -2? (a) o (b) 1\/4 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*p + 21*p = 294*p + 1480 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -26351*i + 3. Let b(a) = 48*a. Calculate d(b(x)).\nAnswer: -1264848*x + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, q: 4, r: 2}. Give prob of picking 1 d, 1 r, and 2 q.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 15*n - 10*n. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence urr when three letters picked without replacement from ruhr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*u - 10. Let n = -25 + u. Let s be (1\/3)\/((-5)\/n). Solve s = 5*r - 2*t, 0 = -4*r + 3*t + 1 - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, 3\/8, -0.2, -1, -29?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l**2 - 8*l + 1 + 7*l + 6 + 2 - l**3. Let q be t(5). Let x = -4 + q. Solve c = -x*c + 4*u - 8, -4*c = -u - 13 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 62, 95, 128?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*v + 27*v - 11*v**3.\nAnswer: -11*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 - 3.5. Suppose 5*a - 3714 = -3*p - 3725, -3*a + 3*p = -27. Put g, 4, a, 0.015 in decreasing order.\nAnswer: 4, a, 0.015, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.49 smaller than -0.45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 54 = -5*c - 0*p, -4*c - 2*p + 46 = 0. Let n be (-35)\/c + 9 + -6. What is the smallest value in -0.6, n, -2\/5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200412 - 48376 = 21*m - 103219. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 47*a + 2573. Let z be h(-52). What is the greatest common factor of z and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/33 - -8\/11. Which is the closest to f? (a) 1 (b) -3 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + 5*m, m + 8045 = -8036 + 16074 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of v**6\/3 + 53*v**4\/2 - 126*v**2 - 614. What is the second derivative of s(j) wrt j?\nAnswer: 40*j**3 + 636*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.051.\nAnswer: 0.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -28.543.\nAnswer: -2.8543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -27, -26, -15, 12?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 95928 = -16*o - 4*o. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 50 + 4*(-7)\/(-4). Solve -2*r + 5*a + x = 69, -r - a = -1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -3, 32, -5 in increasing order.\nAnswer: -5, -3, -1, 3, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**2*w**4 + 390*b**2*w - 2*b*w**2 - 6*w**5 + 17*w**4 wrt w?\nAnswer: 48*b**2*w - 360*w**2 + 408*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(2\/3))*(i*i\/i**(1\/2))\/i)\/(i**2)**12 assuming i is positive.\nAnswer: i**(-137\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8, 17, 58, 115, 188?\n\"Answer: 8*l**2 + l - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 + -64. Let d = -89 - v. Solve d = -p + 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v - 25*v = 14*v - 14764. What is the remainder when v is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4130 - 2776 = 329*k - 164*k - 13331 for k.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 276, 556, 838, 1122, 1408?\nAnswer: 1696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*h + 3*o, -17*h + 18*h = 4*o - 8. Suppose -2*r + 2 = h*i, -31 + 36 = -5*i - 5*r. Factor -10\/3*t + 5\/3*t**5 - 5\/3*t**4 - 5*t**3 + 0 + 25\/3*t**i.\nAnswer: 5*t*(t - 1)**3*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2, 11, 40, 85, 146, 223, 316?\n\"Answer: 8*b**2 - 11*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 11277, 2, 3, -19 in descending order.\nAnswer: 11277, 3, 2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134691, 269316, 403951, 538602, 673275, 807976, 942711, 1077486?\nAnswer: 1212307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x + 20 - 45 - 31 = 0 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121012122220 - -2?\nAnswer: 1121012122222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 953946927 divided by -50207733.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d + 49. What is s(-16)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*d**3 + 9*d**4 + 26*d**3 + (2*d**3 + 3*d**4 - 2*d**3)*(0 - 2 + 1))*(d + d + 0*d).\nAnswer: 12*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 119785?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -3079200 to the nearest 10000.\nAnswer: -3080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 150136347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 - 18*a + 22. Let p be n(15). Let o = -191 + p. Is o not equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64 - 131. Let b = u + 39. Calculate the remainder when ((-7)\/(-14))\/((-1)\/b) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -27 - (1 - (7 + 0 + -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 6 = 5, 2*w - 12 = -2*z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 164362999 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u + 7. Suppose -82*t + 5*o = -87*t - 20, 0 = 5*t - 2*o + 34. Let s(h) = 2*h + 4. Calculate t*y(i) + 11*s(i).\nAnswer: 4*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 times 0.3?\nAnswer: 21.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**2. Let k(y) = 20*y + 482. Determine i(k(u)).\nAnswer: -800*u**2 - 38560*u - 464648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 31.93. What is f rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7.49 (b) 0.3 (c) -90 (d) -0.192\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -167 + -54?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a + a**2 - 1 - 5*a**2 + 2*a**2. Let j = -37 + 3. Let m = j - -32. What is f(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 820 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2306 and 143364.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 5*r + 5, -50*r - 13 = 3*m - 49*r for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 + -90 + 41 - 99?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 265*r**3 + 480*r**2 - 1175*r + 395. Let b(o) = -22*o**3 - 40*o**2 + 98*o - 33. Let q(h) = 35*b(h) + 3*p(h). Factor q(w).\nAnswer: 5*(w - 1)*(w + 3)*(5*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 122773167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**5\/20 - 3*y**4\/4 + 7*y**3\/2 + y**2 - 594. Factor r(z).\nAnswer: -3*(z - 1)*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 991493 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 165\/19, 677, 1\/4 in increasing order.\nAnswer: -0.01, 1\/4, 165\/19, 677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -143.77 to zero decimal places.\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*s + 32. Suppose -s = -5*m + 3. Suppose p = 2*h + 446004, -3*h + m*p + 445984 = -5*h. Round h to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161264351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14483.3 and -1.\nAnswer: 14483.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -186 - -9?\nAnswer: -17c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3\/2*g**4 + 15\/2*g**3 + 9\/2*g + 21\/2*g**2.\nAnswer: 3*g*(g + 1)**2*(g + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0702 * 0.03.\nAnswer: 0.002106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 3*r)*(1 - 5 + 2) + 4*r - 2*r - r)*(4 - 4 - 2*r)*(-2 + 2 - 3*r).\nAnswer: 42*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by (1 + -16 + -1)*11\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**4\/2 - n**3 + n**2\/2 - 16. Let v be 4 + -2 - (-33)\/(-3). Let x(y) = 2*y**3 + 19*y**2 + 8*y - 7. Let c be x(v). Give h(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19406643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 29*c + 93. Calculate n(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r. Let u(j) = 5*j - 3. Let l be ((-16)\/10)\/((-1)\/5). Let q(k) = -14*k + 8. Let c(b) = l*u(b) + 3*q(b). Determine c(o(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 112 * 11\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74*o - 69*o + 37*o to v*o + a and give v.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -1\/7 (c) 1.2 (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)\/sqrt(11))**2 + 1 - sqrt(19) - (sqrt(19) + 0)*-6.\nAnswer: 20 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 - -6533?\nAnswer: 6553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1011331 + -320?\nAnswer: -1012311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: Round 338.6 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 2*x - 18. Let i(v) = 3*v + 20. Let o be i(x). Suppose 1 = -y + 2*w + 3, 0 = y + o*w - 22. Solve -4*t = -y - 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1236 + 1237 + 2*7 + 2\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*l + 27*l + 39*l)*(-12 + 13 + 3*l - l).\nAnswer: 214*l**2 + 107*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7746195 is divided by 139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 a factor of 452425535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -12*s**3 - 2*s**2 + s + 7. Let l = -93 - -91. List the prime factors of n(l).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -730*o**2*w**3 - 484*o**2 - 1814*o*w**2 - 134569*w**3 - 3*w**2 + 44*w wrt w?\nAnswer: -4380*o**2 - 807414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 329, 754, 1363, 2168, 3181?\nAnswer: 4414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.47274 and 72.\nAnswer: 106.03728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -2, -2\/123, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02546315402 rounded to six decimal places?\nAnswer: 0.025463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63304*n**3 + 1 - 1 - 2493*n + 2493*n.\nAnswer: -63304*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -104.94 - -104. Let b = 0.09 + j. Round b to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40 + 4*v**2 + 7*v**3 + 40 - 80 wrt v.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/2339 - -109953\/46780. What is the common denominator of t and 25\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/((-81)\/1290)*(-9)\/(-6). Find the first derivative of 51 - 3 + 32 + q*b**2 + 176 wrt b.\nAnswer: 430*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 1 + 7. Let d(p) = -4*p**2 + p + 6. Let m be d(k). Let a = 95 + m. Calculate the greatest common factor of a and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is bc3b6 + -41c?\nAnswer: bbc97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*z**2 - 86*z**2 + 125*z**2 + 167*z**2.\nAnswer: 401*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -i**2\/2 - 4. Let g(q) = -26*q. Determine g(j(c)).\nAnswer: 26*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (598\/52)\/(1\/2). Let j(v) = -12 - v**2 + 0*v - y + 14 - 15*v. What is j(-14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aad when three letters picked without replacement from {a: 3, d: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 16224239 times -0.5\nAnswer: -8112119.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 5)*(3*j - 3*j + 4*j**2) - 2*j**2 - 2*j**2 - 3*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 69957 - 48*j - 69957. Let i(m) = -2*m + 2. Calculate o(i(h)).\nAnswer: 96*h - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 103*w - 104. Let g be l(102). What is the third biggest value in -1\/2, -0.4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4155148207?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1381*b = 1387*b + d + 8, 4*b = 2*d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**5\/5 + 3*v**4\/5 - 42*v**3\/5 - 84*v**2\/5 + 24*v\/5 + 96\/5.\nAnswer: 3*(v - 4)*(v - 1)*(v + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-104) + (-16)\/1*915\/780 + 0\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -47.093052 to 3 dps.\nAnswer: -47.093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.3313 - -0.0887. Let q = 25 + -24.58. Let l = c - q. Is l bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1533.\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jttjtdsszsjzstsztd. What is prob of picking 1 t and 2 j?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.27981 hours in days?\nAnswer: 0.76165875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 557430961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 107158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 4*h + 8, 3*k + 1 = k - 3*h. Suppose 6*i - k*i - 182 = 0. Does 21 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*q - 34*q**2 - 12*q - 23*q**2 as s + i*q + v*q**2 and give v.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4618 less than -0.4?\nAnswer: -4618.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 2672628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 + -27431?\nAnswer: -27422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 5*c, 2*l - 20 = -7*c + 4*c. Suppose -2*v - 10 = 0, -l*m - v + 406 = -m. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*g - 71*g - 140*g - 35*g + 28*g)*(-12 - 15 - 5).\nAnswer: 5952*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 414912 and 741223.\nAnswer: 2161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 532 + 536 + 52*s - 1068.\nAnswer: 52*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 + -320?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*o = -14245, -3*r + 177*o - 181*o = -42783. What is the remainder when r is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48354 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001613 rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5824*g*w - 3434034*g - 8*w wrt w.\nAnswer: -5824*g - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**2 + 2*y + 89. Let t be h(-1). Solve m + 0*m - 3*m = t for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 230 - 549. Which is smaller: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 10*y - 2. Let a be b(-9). Let u be (2\/7)\/(a\/(-77)). Suppose 5*i - 476 = -u*k + 93, -2*k + 456 = 4*i. Is i a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12*(-7)\/14*(-3)\/39*-1\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -13*c + 132. What is the remainder when ((-120)\/18)\/(26\/27 - 1) is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6660 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -v + 16. What is the least common multiple of 30 and v?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2569 plus 2941095?\nAnswer: 2943664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26511?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/(k**5\/k))\/k)\/(k**6*k*k)*((k*k**3)\/k*k)\/(k\/k**(4\/5)) assuming k is positive.\nAnswer: k**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -174, -216, -196, -96, 102, 416?\nAnswer: 864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 12) to base 8\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttttttt. What is prob of picking 4 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 + 43890*f**2 - 219513*f + 175620.\nAnswer: 3*(f - 4)*(f - 1)*(f + 14635)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a**2 + 3*a + 17. Suppose -3*d - 3 = 12. List the prime factors of z(d).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 900000 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + (-1*sqrt(500)*2 - sqrt(500) - (1 + sqrt(500) + sqrt(500) + -4 + sqrt(500)))*-5)*-1)**2.\nAnswer: -302400*sqrt(5) + 16207056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 26*t**2 - 27*t - 50. Let x be i(-25). Let s be (-11)\/15 - 6\/(-15). What is the nearest to 1 in -4, s, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*2*31\/(-1302)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.09 (b) 0.5 (c) -100 (d) -2 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1009 times 3793?\nAnswer: 3827137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (0\/((-6)\/1))\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 210072902\nAnswer: -105036451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/30, -1, -5, -16464.61, -2\/5.\nAnswer: -16464.61, -5, -1, -2\/5, 1\/30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o. Let w(l) = l - 3. Let i(r) = 1. Let u(g) = 3*i(g) + w(g). Determine u(y(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -75, -138, -225, -336?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-4)*c)\/(c\/c**(-20))*(c**(1\/9))**(-1\/11))**(1\/13) assuming c is positive.\nAnswer: c**(-2377\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*b - 30*b - 88*b = -39*b + 3520 for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3357 and 30709836.\nAnswer: 30709836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -94 - -174. Let v = -75 + j. Solve v*s - 3*s = -8, 2*s - 1 = -3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c - 22*c = -12*c + 297 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13344)\/144 + 81)\/((-20)\/(-216)).\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 9*m = -34. Is 24 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5094, 10198, 15304, 20412, 25522, 30634?\nAnswer: 35748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*u + 5*u + 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2452*b - 615*b - 610*b - 611*b - 616*b + 2*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -333338, -333336, -333334?\nAnswer: -333332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7\/103 - 1496\/721. What is the common denominator of j and (46 + 0)*6\/16?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 82.\nAnswer: -5\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -773 + 770. Which is the second biggest value? (a) 8 (b) n (c) 0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -0.2, -5, -2.1, -0.3, 22?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06153 - 2.93847. What is the nearest to -129 in -1, -0.4, -1\/4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*u + 3, 11*u + f - 1 = 6*u. Suppose -7*q + 3*q - 4 = u. What is the biggest value in 0, q, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198, -429, -814, -1353?\nAnswer: -2046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 486 divided by -81?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -192076, -202576, -213088, -223618, -234172, -244756, -255376?\n\"Answer: -q**3 - 10493*q - 181582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/5)*g**(-2\/47))**(3\/5) assuming g is positive.\nAnswer: g**(252\/1175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -4. Suppose -8 - 6 = -h*q. What is the highest common divisor of 63 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.405 - -0.065. Let a = 3.43 + k. What is a rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2286297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 33*g + 305. Let v be o(-5). Suppose v*q = 147*q - 142303. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(2\/21))**(-12\/11) assuming p is positive.\nAnswer: p**(-76\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 3:07 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3333389467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000105028 rounded to seven dps?\nAnswer: -0.0000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 a, and 1 g when four letters picked without replacement from {p: 1, t: 1, z: 2, g: 1, a: 1, s: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*f = -22*f - 258 - 1237 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l - 1288 - 584 = -60*l. Calculate the smallest common multiple of l and ((-2)\/(-12))\/(3\/18).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {g: 9, b: 3}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/((q**(-3\/14)*q)\/q)*(q*q**(-2\/11)*q)\/q assuming q is positive.\nAnswer: q**(313\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 29*l**2 + 63*l - 1056. What is v(-32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**6\/360 + d**5\/12 - 3*d**4\/8 + d**3\/3 - 2*d. Let w(j) be the second derivative of s(j). List the prime factors of w(7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21.998 - -0.002. Let m = u + -22.04. Is -2\/5 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 3*f + f)*(-2 + 1 + 0) - 247*f + 2*f + 20*f + 14*f + 41 - 41.\nAnswer: -210*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**4 + 2*d - 2*d + (-2*d**2 + 0*d + 0*d)*(2*d**2 + d - d))*(-11 + 12 - 4) + (-3*d**2 + 2*d**2 - d**2)*(-2*d**2 - d**2 + 0*d**2).\nAnswer: 12*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -63770\/883 <= -72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 145074679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84\/210 + (-24219)\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21615 is divided by 636?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 16, -5, -1\/18, -2\/25, -0.9, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2460640 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 - 21. Let f = -3.8 + 4.4. Let n = f + -0.7. What is the second biggest value in j, 2, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*f + 38, 6*f = f - 20. Let l be (-36)\/27 + 2\/k. Let q(r) = -9*r - 4. Give q(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - 26*b**2 + 10*b**2 + 15*b**2 + 31. What are the prime factors of n(0)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4)*k*k)\/(k\/(k\/((k\/k**(-3\/2))\/k))) assuming k is positive.\nAnswer: k**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 14 = -2*y. Let p = 12 - y. Let d(g) = -g**3 + 7*g**2 - 6*g - 4. What are the prime factors of d(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-3)\/(6\/(-2)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -47*v**3\/2 + 4*v**2 - 6*v + 1. Let q(y) = 282*y - 18. Let c(s) = -4*q(s) - 9*w(s). Let o(h) = -2*h**2. Calculate o(c(b)).\nAnswer: -39762*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r**3\/2 - 4075*r**2 + 1332233*r\/2 - 27500888 = 0. What is r?\nAnswer: 83, 7984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from {g: 6, e: 4, q: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/2)\/(10\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(5\/2)*k)\/(k*k\/(k**8*k))*(k*k**4*k)**(21\/4) assuming k is positive.\nAnswer: k**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-91))\/((-88)\/(-440)*(-45)\/21)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 9*f. Let q(v) = 139*v + 3. Determine q(k(s)).\nAnswer: 1251*s + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24 or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) - -3*sqrt(85)*1) + sqrt(85) - sqrt(85) - sqrt(85)) + -2*sqrt(85)*1)\/(-3*6*sqrt(10)\/sqrt(2)).\nAnswer: -sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -40, -163, -304, -463, -640, -835?\n\"Answer: -9*i**2 - 96*i + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 7*i + 1. Let z be m(7). Suppose u - 12 + 2 = 3*s, 0 = 5*u + 3*s - z. Suppose j + 39 = 2*j. Calculate the remainder when j is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.3759947ms?\nAnswer: 0.0003759947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12515\/18 + -696. Calculate the common denominator of w and 101\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.06 - 0.34. Put y, -1, -3 in descending order.\nAnswer: y, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -7*k**3 + k + 1. Let t be h(-1). Let a(y) = -10*y**2 - y + 16. Let m(r) = 3*r**2 - 5. What is t*m(g) + 2*a(g)?\nAnswer: g**2 - 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 - 40654*m - 4570*m**2 + 4570*m**2.\nAnswer: m**3 - 40654*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4508, -9009, -13510, -18011, -22512?\n\"Answer: -4501*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -43 (b) -2 (c) 1 (d) 29 (e) -129 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 18. Let w be a(18). Suppose -v + 4*r = -w*r - 76, 3*v + 2*r = 228. Let q = v + -43. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3818862*y**3 + 99721*y - 11.\nAnswer: -22913172*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*s - 44. Suppose 3*w - 95 = 3*h - s, -5*w + 164 = h. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1720807.\nAnswer: 11, 156437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/8)\/((-1)\/12). Suppose l = -3*z - 3*y, -2*z + 3*y + 8 + 3 = 0. Let i(d) = d**2 - 89*d + 645. Let t be i(8). Sort 4, t, z.\nAnswer: t, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53.9999775 - -54. What is a rounded to six decimal places?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**8*o)*o\/(((o*o*o\/o**(-1\/3)*o)\/o)\/o))**(-1\/27) assuming o is positive.\nAnswer: o**(28\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -t**4\/42 - t**3\/7 + 8*t - 6. Let p(f) be the first derivative of v(f). Factor p(b).\nAnswer: -2*b*(b + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-4)*(-1212)\/(-2222)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)*q)\/(q\/q**(-4\/11))*q**(2\/31)*q\/(q\/(q*q**(-4\/11)))*q assuming q is positive.\nAnswer: q**(-567\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**7\/5040 + z**6\/720 + z**5\/240 + z**4\/24 + 4*z**2. Let c(o) be the second derivative of v(o). Factor c(l).\nAnswer: (l + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, w: 4, y: 1, h: 2}. What is prob of sequence hww?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*b + 15 = 23*b + 5*y, -2*y = -10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1878.418 centuries?\nAnswer: 2254101.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*((sqrt(539) - (sqrt(539)*3 + -3)) + 4 - (-3 + sqrt(539) + 3 + -1 + sqrt(539)))**2.\nAnswer: -1344*sqrt(11) + 26062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*((4*k - 2*k - 9*k)*(12 - 3 + 5) + k + k - k).\nAnswer: 97*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l - 1. Let o = -3439 + 3434. Let j(g) = 8*g + 1. What is o*w(d) - 2*j(d)?\nAnswer: 4*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - -7)\/2 - (-10 + -1). Let u = -19 + 341. Let f = -179 + u. What is the greatest common factor of f and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4c4b + -201?\nAnswer: -514c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 0\/5 - (-1 + -11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.037 from 17.\nAnswer: 17.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s + 34. Let z be b(-9). Let u(t) = -t**2 - 3*t + 89. Let c be u(0). Let k = 103 - c. What is the highest common factor of z and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 28 = -4*k. Suppose 0 = -8*o + 241 - 89. Let z = k + o. Solve z*a = -f + 2 + 18, -5*f + 19 = -2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78677 rounded to the nearest one thousand?\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4 + (sqrt(176))**2*6)*-3 + (-1 + (sqrt(1331)*1 + 4 - sqrt(1331)))**2.\nAnswer: -3152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -540? (a) -157 (b) -8 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1978634*t**3 - 1789165 wrt t?\nAnswer: 5935902*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 2. Suppose 3*n - 5*n + 8 = t. Suppose 2*r + 4*p - 10 = -0*p, 8 = n*r + 2*p. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6*423\/94.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m. Let n(x) = 31847*x. Give j(n(q)).\nAnswer: -63694*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5058 is divided by 717?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 4*v**3\/3 - v**2 + v + 10. What is r(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 3*s + 16)*(2*s - 2*s - 2*s**2) + 62*s - s**3 - 62*s.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 20)*(-8 - n + 8 + (-3 + n + 3)*(4 - 5 + 3) + 2*n + n - n + 3*n + 9*n + 12*n)*(2*n**3 + 0*n**2 + 0*n**2) + 4*n**3 - 4*n**3 - n**4.\nAnswer: 863*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1540.6 * 5\nAnswer: -7703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6414, 708 in increasing order.\nAnswer: -6414, -1, 708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.571299 rounded to 1 dp?\nAnswer: -62.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1270 - -0.4?\nAnswer: -1269.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569 is divided by 218.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**3*u - 2750496*c**3 - c*u - 7*u + 1876662 wrt c.\nAnswer: 12*c*u - 16502976*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*2*-6 - sqrt(34)\/sqrt(2)*4.\nAnswer: -16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -315, -346, -405, -498, -631, -810?\nAnswer: -1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1030 = 5*t + 5*w, 5*t = -4*w + 1333 - 302. Let n = -17 + 31. What is the remainder when t is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**3\/3 - 428*d**2 - 1716*d - 5152\/3 = 0. Calculate d.\nAnswer: -2, 1288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0*f - 5. Suppose 0 = -3*b + 3*z, 1 = -4*b + f*z - 3. Solve -2 = -2*u - l, -4*l + 1 = -b*u + 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4430846 and 133?\nAnswer: 84186074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7808615263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (115 - 1)\/3 + -4. Suppose 5*l - v = -9. Suppose 0 = 4*d - 20, l*o + 0*d = 3*d + 649985. Round o to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7300?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**5\/13 - 480*t**4\/13 - 24634*t**3\/13 + 509468*t**2\/13 - 943104*t\/13 + 458752\/13 = 0 for t.\nAnswer: -128, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -5*f + 4*f - 13, 17*y + 5*y = 7*f + 25*y - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 730 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.3 + 0.7. Let p = -4550.4 - -4550. Which is the third smallest value? (a) f (b) -10 (c) 0.4 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3816 + -658. What is the thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 3*j - 4. Let s be g(3). Let n = 5 + s. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u - 1. Let r(b) = -5*b - 2. Let q(k) = -4*r(k) + 11*y(k). Let a be q(-3). Is 7 a factor of a\/9 - (-20)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(((k\/((k\/(k*k**1))\/k))\/k)\/k))*k)**(-50) assuming k is positive.\nAnswer: k**(-100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**2 - 5*f + 2. Let x(w) = w**2 + 2*w - 1. Let n be 4\/(-3) - (-6 + (-20)\/(-3)). Give n*k(s) - 5*x(s).\nAnswer: s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66 - 10. Let r(j) = j**2 - 5*j - 9. Let f = -7 - -15. Calculate the remainder when c is divided by r(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4052272.\nAnswer: 2, 7, 97, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**3 + 5*u**3 - 11*u - 74*u**2 + 11*u in the form y + s*u**3 + d*u**2 + b*u and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1985a1 (base 11) to base 15.\nAnswer: -601de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253365 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 10:06 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -1012?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 53\/2. Let h be 10\/34*(-42)\/35. Let a = 5\/34 - h. Sort -2, a, j in decreasing order.\nAnswer: a, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -188 - -29. Let q = -156 - c. Suppose -5*i - 3 = 2*p - 4, 0 = -5*i - 3*p - 1. Sort q, i, 8 in ascending order.\nAnswer: i, q, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/(-6))\/(21\/(-182)) - -5. Let h(d) be the first derivative of -y*d - 87\/2*d**2 - 45*d**3 - 81\/4*d**4 - 3*d**5 - 3. Find u, given that h(u) = 0.\nAnswer: -3, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -24660*n - 274. Let g(d) = -271*d - 3. Determine -274*g(m) + 3*u(m).\nAnswer: 274*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 260 - 261. Which is the fourth smallest value? (a) -1.2 (b) 1\/5 (c) -3\/7 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.5, -0.5, -11 in ascending order.\nAnswer: -11, -3, -0.5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, h: 4, d: 2, g: 2, o: 1}. Give prob of sequence gqo.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/1)\/(11 + -7). Put 4, -5, u in ascending order.\nAnswer: -5, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -112*j**2. Let i(s) be the first derivative of 9*s**2\/2 - 368. Calculate i(u(m)).\nAnswer: -1008*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 21290 to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 55 = 4*z + 4, 4*z + 4 = 0. Let x(n) = c + 4 - 6 + 13 + n. Let l be 5 + -9 - (-6 - 1 - -3). Give x(l).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.33186 - -12.33186. Let o = 1 - 11. Is o less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*m - 51. Let z be 4887\/m*(-2)\/42. Let v = -95\/7 + z. Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0077269 + -0.0077. What is w rounded to six dps?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -2)\/(-1) - 2. Suppose a + 30 = -5*a. Is a >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 108.3 + -108. Let y = -16.9 - -18. Let x = y + -0.1. Which is the closest to x? (a) -4 (b) -3\/5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 22*f**2 + 1\/270*f**5 - 7\/108*f**4 + 0 + 0*f + 0*f**3. Let o(k) = 0. Calculate k.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-3)*24\/(-2). Let v = p - 6. Suppose -v*o - 4*l - 28 = -4*o, -3*l = 6. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-2\/5)*x)**34)**(3\/20)\/((x**3*x)\/x**2)**(-37) assuming x is positive.\nAnswer: x**(2156\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -84 - -124. Suppose -6*i - u = -7*i. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -282 (c) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 76.31492 millilitres?\nAnswer: 0.07631492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 3*i - 5*i)*(1 + 3*i - 23 - 1).\nAnswer: -6*i**2 + 46*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from kwwawwggkgsuw?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125 - 15*m**2 - 133 - 196*m**2 + 258.\nAnswer: -211*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 13. Let g = -5 - -8. Suppose -g*j + 4*o - h = 5, 2*j - o = 0. What is the nearest to -2 in -4, -0.5, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-11))\/((4\/15)\/(1176\/441))?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 r when two letters picked without replacement from rzzzzbzrizjizzii?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4.84 + -2\nAnswer: 2.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 45\/(-2)*(-32)\/20. Let y = 81 - p. Calculate the remainder when y is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 24*t**3 - 3*t**2 + 4*t - 1. Let o be (-2)\/(-12) - 357\/(-18). What is the smallest common multiple of k(1) and -2 - (2 - (-4 + o))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -485489, 4, -7\/8, -4 in ascending order.\nAnswer: -485489, -4, -7\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1069*m = -1080*m + 66 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 12*m**2 - 14*m - 22. Let f be (0 - -2)\/(1*(-4)\/22). What are the prime factors of j(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5001 - 0.0199. Let f = -1 + 1.28. Let s = j - f. Is 2 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -1196.549?\nAnswer: -1198.549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -66, -65, -64, -63, -62, -61?\n\"Answer: m - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 55691251 - -5?\nAnswer: 55691256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 + -37. Suppose -2*g - 137 = -4*x - 5*g, 0 = x + n*g - 47. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13426 or 13427?\nAnswer: 13427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(1\/4))\/(w\/(w**(-1)*w)*w))\/(w**(2\/3))**6)**(-11\/2) assuming w is positive.\nAnswer: w**(231\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 177, 355, 533?\n\"Answer: 178*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 divided by -1344.\nAnswer: 41\/672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 662 + 667 - 6610*y + 666 - 2667 + 671 + (2*y + y - y)*(0 + 0 + 2).\nAnswer: -6606*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 11) to base 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -2*d - 10, -786*a + 783*a - 1 = -5*d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - 242313?\nAnswer: -242324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2682 and 630?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(475) - (sqrt(19)*2*-2)**2)*-1.\nAnswer: 10*sqrt(19) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 247 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4.1*1\nAnswer: 4.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -192.2 + 192.2000933. What is s rounded to six decimal places?\nAnswer: 0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 101*y**2 - 5*y + 761 wrt y?\nAnswer: 202*y - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6928 + 7*(-54)\/(-42) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 6) to base 12\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (5 - -13) - -6 - -46.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9.0204*5\nAnswer: 45.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h + 5. Let y(u) = -u**2 + 4*u. Let c be y(4). Let r be q(c). Solve -r*f = -3*n - 5 - 10, -4*f - 2*n - 10 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.58 in -3, 0.5, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36029 to the power of 1\/2, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**5\/4 + 223*t**4\/4 - 227*t**3 = 0 for t.\nAnswer: -227, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2700*h**2 - 525. Let x(u) = 27*u**2 + 1. Let g(p) = 2*f(p) + 150*x(p). Differentiate g(r) with respect to r.\nAnswer: -2700*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 7 = -2*n + 3*r, 4 = -4*n + 4*r. Let d = 5 - n. Calculate the remainder when -3 - (0\/1 + -11) is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b - 35*b - 10*b)*(-b + 2 - 2)*(-2 + 1 + 10) to r*b**2 + d*b + k and give r.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + m**2 + m**3)*(0*m - 6*m + 2*m) + 20*m**4 - 5*m**4 + 4*m**4.\nAnswer: 15*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**2\/2 + 55977*w\/2 + 587538 = 0. Calculate w.\nAnswer: -55956, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -5131*m**2 + 14053*m - 5 - 14053*m in the form y*m + u + l*m**2 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 428243 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -5, 0, -6 in descending order.\nAnswer: 19, 0, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*j, 5*m + 3*j + 75 - 37 = 0 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sk when two letters picked without replacement from skk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 31 + 11*z**2 - 22)*(3 - 3 - z).\nAnswer: -11*z**3 + 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*s - 37*s - 114*s + 69*s**2.\nAnswer: 69*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 606356 to the power of 1\/2, to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01 + -3.99. Let j = 0.3 + 0.2. Which is the nearest to 1\/3? (a) j (b) -2\/7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + 6 + -4 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 6*q + 8. Suppose 3*d + h - 3*h - 2 = 0, 3*h = -5*d + 35. Let c be f(d). What is the closest to 0.2 in 0.1, c, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3909*a + 1640*a + 792*a + 274*a.\nAnswer: 6615*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 5*c**2 + 6*c - 2. Let g be i(-6). Is (-2186)\/g - (10 - 14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46b (base 14) in base 4?\nAnswer: -31233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4822469733 to the nearest integer?\nAnswer: 1689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (-2)\/(3\/3). Suppose -f + u = -5 - 25, 4*f - 5*u - 115 = h. Let q = -153\/4 + f. Calculate the common denominator of -46 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*f**2 + 47 - 47 in the form r + k*f**2 + p*f and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -431231 (base 6) to base 8\nAnswer: -104743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 + 46. Suppose -s + g*u = 3*u - 24, -3*s - u + 68 = 0. Calculate the greatest common divisor of 368 and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j - 27. Let l(p) = 13. Let i(y) = -9*l(y) - 4*u(y). Suppose 6*n - 3*n = 18. Is i(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n - 1. Let x be y(3). Suppose 3*m + x*m = 0. Suppose m = -2*r + 4, r + 1 - 7 = 2*j. Which is bigger: j or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**3 - 29*s**2 - 17*s + 6. What is the lowest common multiple of f(-14) and 56?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22.84 - 23. Let g = 0.15935 + v. Round g to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*3\/5 + (-57)\/19?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*j = -328, 2*r + 5*j - 118 = -0*r. Let p be (0 + 4)\/((-2)\/(-8)). What is the highest common factor of r and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 1313*a + 1. Let s be l(-1). Let r = s - -9497. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2409479505 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1599 = -150*q + 41*q + 2543. Calculate the remainder when 3495 is divided by q.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8864, -8865, -8866, -8867?\nAnswer: -8868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010096855 rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 68, 78, 74, 50, 0, -82?\n\"Answer: -y**3 - y**2 + 20*y + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**2 + 0*u**2 + 0*u**2 + 5*u - 3*u**2 - 5*u + 2*u**2 - 3*u**2 + 3*u**2 + (4 - 4 + 2*u)*(1 - 2*u - 1) + 2 - 2 + u**2.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -466.672 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**3\/2 - 36*a**2 + 3*a\/2 + 36 = 0 for a.\nAnswer: -24, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16218?\nAnswer: 2, 3, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 + 3*v**2 - 49.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9416505?\nAnswer: 3, 5, 7, 89681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**3 - 42*l**2 + 108*l - 17. Give v(18).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*h - 54, -h = v - 6*h + 3. Solve 5*g - v = 2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**3 - w**2 - w + 4. Let d be k(0). Let q be (-3)\/(3\/(-2) + 0). Suppose 0 = -d*x - 6 - 2, -4*x + 574 = q*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 9) to base 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**3 - 37*q - 223. Calculate r(-6).\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of (-264)\/462 + (-1412200)\/(-35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48 - 40 - 30*z**2 + 89 to k + u*z**2 + r*z and give u.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 373 divide 485300881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/4*y**3 + 0*y - 1\/4*y**2.\nAnswer: -y**2*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46.97*5.33.\nAnswer: -250.3501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 845045, 1690056, 2535067?\n\"Answer: 845011*b + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(9)\/sqrt(3))**2) + 3 - ((sqrt(3) - sqrt(12)\/(sqrt(8)\/sqrt(2)))**2 + sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35115275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/2)\/(4\/48). Let k(p) = p**3 + 6*p**2 - 4*p + 5. Is k(w) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.001368ng to micrograms.\nAnswer: 0.004001368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-8)\/((-176)\/110).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257*t + 137*t**2 - 279*t**2 + 136*t**2 + 131*t + 123*t.\nAnswer: -6*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13 - -4?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 13*a**3 + 20*a**2 + 270*a - 22. Let i(r) = -7*r**3 - 11*r**2 - 135*r + 12. What is -11*i(d) - 6*s(d)?\nAnswer: -d**3 + d**2 - 135*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-118427)\/(-14) - (-83)\/(-1162) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -458 + 876. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 250970248 to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -14. Let j = 76 + -10. Let s = j + -67. Sort 4, s, p in ascending order.\nAnswer: p, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -17*g**4\/24 + g**2. Let f(a) = -7*a**3 + 2*a**2 - 2*a. Let i be f(1). Is w(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 1699 (c) 0.18 (d) 0 (e) 5 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366 is divided by 43.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6 - 12*s**3 - 3 - 3. Let a = -47 + 48. Calculate t(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a**3 - 7*a**3 + 3*a - 3*a.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or 1202313?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8709369 is divided by 217734?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 148 - 148.4. What is the fourth biggest value in 0.3, 0.4, w, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**4\/9 - 22256*r**3\/3 - 557178956*r**2\/9 + 371519408*r\/3 - 557312498\/9 = 0.\nAnswer: -16693, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/27? (a) 3 (b) -0.1 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 125 - 125. Suppose g = 2*z, 0 = 6*z - 9*z - 6. Which is bigger: g or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -8*k. Suppose 3*g - 4 + 1 = 0. Give s(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -261273 - 94279\nAnswer: -355552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 673481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -487693 (base 10) to base 4\nAnswer: -1313010031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3628\/5 - (-28)\/70. Let p = l + 61. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -99848, -399358, -898542, -1597400?\n\"Answer: -99837*a**2 + a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461676699?\nAnswer: 3, 11, 67, 23201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -z. Suppose -s = -z + 4. Let k(w) = -w - 2. What is k(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 401 and -164233?\nAnswer: -65857433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 + -0.26. Let p = 1769 - 1768.82. Let w = f - p. Put -3, -2, 3, w in decreasing order.\nAnswer: 3, w, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140\/(-15)*(-11850)\/(-11060)*(-7)\/(-5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*r + 136, -2*t + 0*t - r + 72 = 0. What are the prime factors of t?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b**2 + 13*b. Let l(n) = n**2 + 2*n. Let x be (-39)\/(3 - (-6)\/(-3)). Give x*l(y) + 6*p(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 190\/3 or 63?\nAnswer: 190\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + o - m + 9, -3*o + 1 = -m. Let u be (-728)\/(-7) + -1 + o. Suppose 1 = 2*x - u. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*a = -73, 5*a = 2*c + a - 42. Suppose 206 - 881 = -3*p. Suppose -4*v + p = c. What are the prime factors of v?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 8. Let y be i(0). Let m = -82 + 167\/2. Which is the smallest value? (a) m (b) y (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide (-13)\/(39\/(-150))*(-688)\/(-40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98 - -141. Suppose 0 = -3*j + m + 71. Let l = j - 37. Calculate the remainder when 3 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - 7*v + 5*v)*(2*v - v + 4*v) + (0 - 2*v + 0)*(-2*v + 2 - 2).\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*k = 1191805 - 2984341. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -18 - 3. Let w = -19 - f. Suppose -5*v + 5*r = -w*v - 102, 0 = -5*r. What is the remainder when v is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7\/3 + -71\/33. Factor 2\/11*v + p*v**2 + 0.\nAnswer: 2*v*(v + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80367 by -3.\nAnswer: -26789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t*t**(-1\/3)*t*t)**(9\/4)*t**(-1)\/(t*t*t**(-1\/9))*(t**(5\/2)\/(t**(1\/5)\/t))**(-10) assuming t is positive.\nAnswer: t**(-457\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**0)**(-49)*h**(6\/7)*h\/(h*h*h**5*h*h*h*h))\/((h*h**(-1\/4)*h)\/h*h*h\/(h\/h**(-2\/7))*((((h**0\/h*h*h)\/h)\/h)\/h)\/(h**(-1)\/h)) assuming h is positive.\nAnswer: h**(-1669\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 155026\/79 and 1963 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/6*45\/9. Let o = -0.1 + -0.2. Which is the biggest value? (a) 2 (b) y (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hjjpjjpjpxxh. What is prob of sequence xjhx?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 6 + 507*m - 5 + 524*m to the form j*m + b and give j.\nAnswer: 1031","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 8:25 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9 - 0\/((-4)\/2). Suppose o - 4*r = 28, 3*o + 0*r = -3*r + h. Suppose 2*c - 22 = -o. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -6*t - 4. Let i(a) = -5*a - 3. What is 3*i(d) - 2*z(d)?\nAnswer: -3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one halves of a milligram in micrograms?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/21*(-633)\/(-422)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -c**3 + 23*c**2\/2 + 2*c - 371. What is t(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c - 2*c - 2*c)*(17 - 8 + 3) - 3*c - 4*c + 5*c + (-c - 4*c + 2*c)*(13 - 5 + 2) - 2*c + 1 - 1 to o*c + d and give o.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l - 4. Let g(y) = -45*y - 22. Give g(v) - 6*m(v).\nAnswer: -63*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 - r**2 - 11*r**2.\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*sqrt(117) + -1 - (-3 + 2*sqrt(117) + sqrt(117))**2 - (sqrt(117) + (sqrt(117) - (0 + sqrt(117))) + 3 + sqrt(117)*2 + 4)**2)*-3.\nAnswer: -19485 - 621*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20659 + -14070. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + i**2 - i - 2. Let s(w) = w**2 + 6*w. Suppose -18 = -5*v + 8*v. Let b be s(v). What is n(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29656.\nAnswer: 2, 11, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -459 - -1406\/3. What is the common denominator of k and -16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 800 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 1. Let g(k) = 3*k**2 - 30*k + 30*k - 2 - 3*k**4. Let y(j) = -2*f(j) - g(j). Find the third derivative of y(z) wrt z.\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 11) in base 15?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1814 + -2?\nAnswer: 1812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -r**4\/12 - 331*r**2 - r. Let t = 5 - -1. Let o(z) = t*z - 16*z - 13*z - 4*z. Calculate o(d(a)).\nAnswer: 54*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1823510 and 172640?\nAnswer: 29176160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-2\/9))\/y**16*(y\/y**(-15))\/(y**(-22\/5)*y) assuming y is positive.\nAnswer: y**(208\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 67410\/72225*(-54)\/(-14).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10313 + -6?\nAnswer: -10321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 22779393.\nAnswer: 91117572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 27 + 5305046*b**2 - 5305044*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5\/1*(-492)\/410\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76 - -113. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/19238, 0.8, -74 in decreasing order.\nAnswer: 0.8, -3\/19238, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.4, 8, 0.47, -3\/5, -0.5, -2\/7, 2\/11?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 210, 448, 696, 960, 1246, 1560, 1908?\nAnswer: 2296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avvayyakaabbvvab. What is prob of sequence by?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 637 and 97352\/153 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5172 + 3612. Suppose -10*r = -746 - k. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(450)\/(sqrt(40)\/sqrt(4)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + (-1 - -1 - (30 - (-18 + (6 - -55)))).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - -216. Suppose -s = -4*a - 257. Sort a, -1, 0 in descending order.\nAnswer: 0, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2292)\/4011*((-7)\/(-54) + 0).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.052 times 4857\nAnswer: 5109.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**2)**(-38))**(-12) assuming x is positive.\nAnswer: x**912","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 17403200 to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/180*3*(-205 + 203)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -29, -3, 23?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 67*p + 2. Let j be x(1). Let w be ((-6)\/(-4))\/(j\/(-46)). Let q(o) = -3 + 3*o**3 + 3 - 1. What is q(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -0.1, 20, -2\/3, -7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**3 + 10*b**3 + 2*b - 5*b**3 - 2 as r*b**3 + v + u*b + s*b**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 0*v - v)*(-31*v**2 + 38*v**2 - 3*v + 1 - 6*v**2).\nAnswer: -v**3 + 3*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 3 + 2)*(0*g - 2*g + 0*g) + 3*g + 0*g - 2*g)*(-16807 + 6582 - 11044) in the form p + n*g and give n.\nAnswer: 63807","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(1\/3))\/r)**(-1\/23)*r**(-2\/13)\/(r**3*r) assuming r is positive.\nAnswer: r**(-3739\/897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llmaqlmqamtliltmlllq. Give prob of picking 1 q, 1 l, and 1 a.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 106\/28 + -2 + -2. Suppose -x + 5*l = 4, -2*x = -5*x + 3*l. Is t <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*r - 179. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 109*j - 5300. What is q(57)?\nAnswer: 913","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4\/7755 - -20684\/7755. Factor b - 16\/3*h**3 - 8\/3*h**2 + 0*h**4 + 4*h + 4\/3*h**5.\nAnswer: 4*(h - 2)*(h - 1)*(h + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2932 a factor of 182780880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 2, 13?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qpqp. What is prob of sequence pqq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24038753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3155 + 3151. Let q(g) = g + 5. Let x(w) = 3. Give f*q(j) + 7*x(j).\nAnswer: -4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 232128 and 870480?\nAnswer: 3481920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17.71 - -0.29. Let r(l) = 3*l - 44. Let o be r(29). Let m = o + -47. Sort p, m, 3.\nAnswer: m, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence psp when three letters picked without replacement from {h: 5, l: 7, p: 2, s: 3}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*(0 - 408\/(-15)) - (-2456)\/(-307). What is the greatest common divisor of k and 596?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(77)*-1*5 + sqrt(77) - sqrt(77) - sqrt(77))\/sqrt(11) - 1*(-3 + sqrt(14)\/sqrt(2))).\nAnswer: -7*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -81.846 to 1 dp.\nAnswer: -81.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**3 - 31*m**2\/9 - 4*m\/3 = 0. What is m?\nAnswer: -3, -4\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -221\/3 + 74. Which is bigger: 0.02 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - x - 5, -3*x - 3 = -t + 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 561 + 1044 = -107*z for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**4 + 45*a**3 - 384*a**2 - 203*a = 0. What is a?\nAnswer: -29, -1\/2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f + 33*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-390)\/(-25))\/((-3)\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-460)\/(-36) + (-2)\/(-9) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z + 0 + 1\/2*z**4 + 1\/20*z**5 + 2\/3*z**3 + 5\/2*z**2. What is the units digit of y(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 203, 2 in decreasing order.\nAnswer: 203, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 5:00 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1822*j - 1312 - 510 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 1 - 25) + (10853 - 10760)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**4 + 85*k**2 - 85*k**2 - 3*k**5 + (6*k**5 + 5*k - 5*k)*(-2 - 3 + 3).\nAnswer: -15*k**5 - 4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, l: 1, u: 4, p: 5}. Give prob of picking 2 p and 1 o.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 6650997?\nAnswer: 6650997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91645, 366670, 825067, 1466836, 2291977?\nAnswer: 3300490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2221, -2064, -1907, -1750, -1593, -1436?\nAnswer: -1279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -88, -96, -106, -118, -132, -148?\n\"Answer: -d**2 - 5*d - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-14)\/8)\/((-1)\/4). Let a be ((-1)\/3)\/(f\/(-42)). Suppose 0 = 5*q - 5*m - 65, a*q - m - 27 = -0*q. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 7 = -4*d + 3*z, -4*z - 28 = 4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2843?\nAnswer: 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 212*t - 189. What is the thousands digit of u(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (1 - 0) - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 243 - 242.9. Suppose -1 = 2*o + n, 2*o - 5*o - n + 1 = 0. Suppose 2*x + 8 = -o*x. Which is the nearest to -1\/2? (a) x (b) -0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*c = -4*a - 154, -5*c - 491 = -4*a. Let f be 3 + (a\/(-36) - (-1)\/4). Let w = -1 - -2. What is the closest to w in 0.5, f, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(-1\/4))**(2\/7))**(1\/75)*((n\/(n*(n*n**(-1\/2))\/n*n))\/(n\/n**(-5\/3)))**40 assuming n is positive.\nAnswer: n**(-6333\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5747 = -r - 294. What is the tens digit of r\/(-28) - (-1)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -10*n**2 + 1575805*n - 10242310 = 0.\nAnswer: 13\/2, 157574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 115*t**3 + 19*t**2 + 10*t + 9. Calculate l(-2).\nAnswer: -855","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335230520.\nAnswer: 2, 5, 23, 463, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**2 + 47*g. Let h(a) = 10*a**2 + 127*a - 17. Let v(p) = 3*p**2 + 36*p - 5. Let f(s) = 5*h(s) - 17*v(s). Give 5*f(l) - 2*m(l).\nAnswer: l**2 + 21*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 75 and 4.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1609 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2062 + 4957. Is v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-0.070869277.\nAnswer: -0.070869277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 3:45 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 1:21 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1299)\/866*(-30741 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45*o**4 + 673*o**2?\nAnswer: -1080*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) 4 (b) -0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 2\/71, 15\/7, -0.4.\nAnswer: -0.4, 2\/71, 1\/2, 15\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8696 and 29699014.\nAnswer: 2174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -7\/12907 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-3))**(9\/8))**(-1\/34) assuming j is positive.\nAnswer: j**(-9\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4433 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: Let y(s) be the second derivative of -s**5\/20 + 5*s**4\/6 - 7*s**3\/6 - 7*s**2\/2 - 3*s + 4. What is y(9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a7641a8 - 5?\nAnswer: -a7641ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**6\/360 - d**4\/4 - 4*d. Let c(l) be the third derivative of s(l). Let m(q) = 7*q**2 - 10*q**2 + q**2. What is c(m(p))?\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -113854 divided by 1963\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/4624 and 113\/4896816?\nAnswer: 4896816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108189*m**2 + 27048*m**2 + 27049*m**2 + 27045*m**2 + 27048*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/4)\/(3\/10). Suppose -2*w = -6, -4*w - 4 = -v*c - 1. Let t = 1 + c. Solve 5*z + 4*h = -0*h + 12, 0 = -t*z - 3*h + 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 5*s**2 - 25*s + 8. Let l be a(8). Let f = -86\/17 + 704\/119. Is l > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a + 13. Let t be n(9). Calculate the greatest common factor of t and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7292 divided by -351.\nAnswer: 7292\/351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*m**2 + 25*m + 3 + 2 - 32*m**2 = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/2 of a tonne?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -13*f**3 - 22*f**2 + 143*f + 187. Is h(-20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71925 divided by 5.\nAnswer: -14385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 423720070 by -211860035.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -54*s**2 + 10*s**2 + 0*s**2 + (6*s**2 - s**2 - 4*s**2)*(1 - 1 - 1) + 0 + 0 + 2*s**2 + (3*s + s + 0*s)*(0 + 0 - 2*s).\nAnswer: -51*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13)\/(-5) - 8\/(-20). Suppose -q*m = -r - 9, 0 = -2*m + 2*r + 8 - 2. Suppose -m*g + 2*d + 82 = -1, 4*d = 3*g - 85. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**4 + 32*p**3 + p - 1.\nAnswer: -12*p**2 + 192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/2805 and 32\/165?\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 426359414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 56\/49*(-7)\/(-2). Suppose 0 = 5*h - k*h - 5*b - 1585, 5*h - 2*b = 7810. Round h to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 18. Let x(o) = o**2 + 7*o + 8. Let v be x(j). Solve 5*p + 15 = v*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 + 2.6. Let l = 7 - x. Which is the second smallest value? (a) l (b) -1\/5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 3*q**2 - 2*q - 1. Let d be l(-3). Suppose -8*b + d = -7*b. Solve m - 5*v + 32 = 4*m, 0 = -b*m - v + 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 8 = -r - s, -2*r - 16*s + 551 - 435 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2609948749?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 828?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence may when three letters picked without replacement from bymywaywyayaba?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -20. Suppose 0 = j*p - 23 + 3. Let b = -2 + 7. Solve 0*d + 5*w + 12 = p*d, b*w - 15 = -5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 1)*(-63)\/252. Which is smaller: r or -7\/9?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - 3 - (-1)\/1. Let u = -12 + j. Let a(d) = -d**3 - 8*d**2 + 9*d + 2. Let s be a(u). Calculate the highest common factor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 319.8 + -320.8. Suppose 4*d - 5 - 16 = -3*j, -4*j - 3*d = -21. Which is the nearest to v? (a) j (b) -3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -6. Let l(m) = -57*m - 5. Let w be l(t). Round w to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/17 (b) -16\/43 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -23.8. Let g = -0.8 - -1. Let k = g - 3.2. Put x, k, 1\/3 in descending order.\nAnswer: 1\/3, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + -5)\/(8\/(-3)) + 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -0*d - 4*g, -15*d = -16*d + g - 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -722c (base 14) to base 11\nAnswer: -13835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = -3*x - 128. Suppose -3*z = -v + x, 5*v = -0*v - 2*z - 5. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 3*o = 0. Suppose -6*c + 10 + 20 = o. Sort -2, -10, c in ascending order.\nAnswer: -10, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1446.6 * -6821\nAnswer: -9867258.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 3*b - 13. Let l be q(-6). What is the third biggest value in 4, -5, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-3))**(-2\/101)\/(t**10)**(-13) assuming t is positive.\nAnswer: t**(13122\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bzgzzzvbf. What is prob of picking 1 z, 2 b, and 1 f?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 113 + -78. Suppose -4*x + j = -1. What is the highest common divisor of x and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -40?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/2, 1\/9, -4\/7, 22 in decreasing order.\nAnswer: 22, 1\/9, -1\/2, -4\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -48.5 times -119553\nAnswer: 5798320.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4011339 is divided by 77?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -3\/4 (c) 0.1 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6335512 - 2351.9\nAnswer: 6333160.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4358739967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -22831 (base 9) in base 2?\nAnswer: -11101110011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**3 + 6058*j**2 + 21146*j - 12088 = 0. Calculate j.\nAnswer: -1511, -4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -49929975 divided by -3\nAnswer: 16643325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, t: 6}. What is prob of picking 2 d and 2 t?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.23 and 0.225.\nAnswer: 0.05175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 2*b + 5*b - 167 + 78, -6*c - 2*b = -40 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -630220155 by 4.\nAnswer: -630220155\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 90*i + 12 = -87*i, -i = -2*j + 23 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-10)\/p**37 assuming p is positive.\nAnswer: p**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 7 = 1, c + 5*w - 12 = 0. What is the remainder when 83 is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2704 - 2707. Let y = 1813 + -1162. Does 5 divide ((-18)\/(-4))\/w - y\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 684ba?\nAnswer: -684bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dgggggegngnn. Give prob of sequence dng.\nAnswer: 7\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3150374360.\nAnswer: 2, 5, 7, 43, 233, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 173727677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmmmmmommmmmmo. Give prob of sequence ooo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 92824417.16 to the nearest 1000.\nAnswer: 92824000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - g - 16 = 0, -1363*f + 1361*f - 3*g = -7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -1718*n - 63566. Give i(-37).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qrqz when four letters picked without replacement from {b: 1, r: 1, q: 3, z: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*v - 15. Suppose -m = m - 5*n - 8, v*m = -3*n + 20. Factor -m*b**3 - 4*b**2 - 2*b**4 - 2*b - 2*b**2 - 2*b**3.\nAnswer: -2*b*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9}. Give prob of picking 2 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41625, -41589, -41511, -41391, -41229, -41025?\nAnswer: -40779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.002 + -2.202. Which is the biggest value? (a) q (b) -2\/5 (c) -0.3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.84 or 1?\nAnswer: -1.84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/379044 and -45\/457843036.\nAnswer: 4120587324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 178 in -0.4, 1\/5, 2\/11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2112.95741749 - 10.\nAnswer: -2122.95741749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**3\/2 - t. Let f(o) be the first derivative of o**3\/3 - 8. Calculate n(f(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 345.5407 kilograms in tonnes?\nAnswer: 0.3455407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -463 + 467. Solve 3 = -4*g - 3*z, -z + 2*z = o*g - 17 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/5*-5)\/(12\/(-66)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/12)\/(17227\/9844).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160788, -643158, -1447050, -2572416, -4019208?\nAnswer: -5787378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 1 + 9 - 40*u)*(70 + 8*u**2 - 39 - 37).\nAnswer: -320*u**3 - 8*u**2 + 240*u + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f*w**2 + 15240*f - 9371*w**2 wrt f?\nAnswer: 2*w**2 + 15240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**7\/1260 + o**6\/72 - o**5\/10 - 11*o**4\/6 + o - 10. Let x(h) be the third derivative of r(h). Factor x(u).\nAnswer: -2*(u - 3)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*5*(1 + 1*((2*sqrt(2057) - sqrt(2057)) + -3 + sqrt(51)\/sqrt(3) + sqrt(34)\/sqrt(2)*5 + -3 + sqrt(17) + 0)**2).\nAnswer: -6480*sqrt(17) + 166350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x**3 - 4*x**2 + 6*x - 4. Let n(l) = -3*l**3 - 3*l**2 + 5*l - 4. What is 6*n(y) - 5*q(y)?\nAnswer: 2*y**3 + 2*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.17992469 to three decimal places.\nAnswer: -1.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10710 at most as big as 10528?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**5*j*j\/(j*(j**(1\/2)*j)\/j))\/((j**(1\/6)\/j)\/(j*j*(j*j\/((j\/(j*j**(-15)))\/j)*j)\/j)))**34 assuming j is positive.\nAnswer: j**(-374\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 971.8, 3\/10, -1, 5?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -33*z. Let i(s) = 3*s. What is i(c(k))?\nAnswer: -99*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -p + 2, -2*p - 21 + 7 = -4*g. Let x = 42 + -42.5. What is the biggest value in -5, g, x, 1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*x**2 + 0)*((-1 - 3 + 2)*(0*x + 4*x - 2*x) + 20*x - 4 + 4).\nAnswer: 32*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 3:55 AM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-3)\/(-36)*(-36)\/(-120).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + -5 + 3 + 0. Let z = -2 - -3. Calculate the highest common factor of t and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -240 - -242. Solve -2*s = -3*t + y*t + 8, -4*t = -3*s - 22 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 56 = 15*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 20*l**2 + 37*l + 16. Let k(y) = y**3 + 40*y**2 + 73*y + 31. Let b(f) = 2*k(f) - 5*x(f). Determine p so that b(p) = 0.\nAnswer: -3, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54.7 - -58. Let q = 0.3 - l. Let c = q + 2.7. What is the closest to -1\/4 in 1\/4, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i - 21. Give r(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23806766 is divided by 247987?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 169725.\nAnswer: 169730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -w + 18. Suppose 3*v = -15, 0*q - 4*v - w = -3*q. Solve 3*f + q*f + 5 = 4*k, 0 = 2*f - 4*k + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 + -35. Put 4, c, -2, -4 in decreasing order.\nAnswer: 4, c, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 175 - 176. Which is the fourth biggest value? (a) 1 (b) 4\/5 (c) y (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*h = -4, 2*o + 4 = 5*h - 6. Suppose -l + 22 + 11 = o. Factor l*z**2 + 56*z - 5 + 4 + 9 + 65*z**2.\nAnswer: 2*(7*z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 o when two letters picked without replacement from rrrrfrrrrrorrrrrrrr?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-7)\/(k*k**(8\/7))*(((k\/k**6)\/k)\/k)**38 assuming k is positive.\nAnswer: k**(-1926\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 33308, 33810, 34654, 35846, 37392, 39298, 41570?\n\"Answer: n**3 + 165*n**2 + 33142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**1*a)**(-14)*(a\/a**(-2\/3))\/a**5)**(-4\/5))**(2\/9) assuming a is positive.\nAnswer: a**(752\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -141, -763, -1961, -3867, -6613?\n\"Answer: -22*c**3 - 156*c**2 + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 9360.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-15)*h*h)\/h*h*h*h*h*h\/(h\/(h**(2\/45)*h))*h*h\/((h*h*(h\/h**10)\/h)\/h)*h**(-7\/11) assuming h is positive.\nAnswer: h**(697\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -11*w**2 - 5\/2*w**3 - 1\/12*w**6 + 0*w + 0 + 1\/3*w**5 - 1\/42*w**7 + 5\/12*w**4. Solve f(z) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -421*f**2*h**3 - 8993*f**2*h*x**2 - 1385*f*h**3 - 304*h**3 + 26*x**2 wrt f?\nAnswer: -842*h**3 - 17986*h*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 174*o**3 - 70?\nAnswer: 522*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 3*o**2 + 6*o - 4. Suppose -2*u - 6 = -4*l, -4*u - 5 = -5*u. What is h(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 30*f + 1114. Let d be v(-37). Let u(w) = 4*w + 5. What is u(d)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-157 - 20 - 192 + 113)*(-4 + p**5 + 4).\nAnswer: -256*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2993226*b**2 + 3 - 3 + 2993227*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15015 and 1365.\nAnswer: 15015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1537\/16 + 96. Let r = 6555 - 6555.4. What is the nearest to l in -2\/7, -1, r?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5037.334511 rounded to the nearest 10?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12744 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 73583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 5*u + 6*u)*(0 + 0 + 1) + u + 10*u + 5*u.\nAnswer: 17*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6167497 - 6166839.9382. Let a = 657 - f. Round a to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -438 + (-3)\/3 + 0. Suppose 0 = -t - 2*g - 892, -t = 3*g + 2*g + 895. Let c = w - t. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50871039.\nAnswer: 3, 59, 167, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1195 + -545. What is the third derivative of -1304*v**3 - 43 + t*v**3 - 17*v**5 + 651*v**3 + 4*v**2 wrt v?\nAnswer: -1020*v**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**3 - 55719*y**2 - 222693*y + 2506815 = 0.\nAnswer: -18569, -9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -189*u + 2232. Let q be c(10). Which is greater: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13184711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhllllljzllll. What is prob of sequence hl?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1033\/2 (b) 957 (c) 10 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -48226, -193095, -434550, -772597, -1207242?\n\"Answer: -h**3 - 48287*h**2 - h + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -789069 or -789080?\nAnswer: -789069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*x + 23 = 0, t - 2*x - 3*x = -17. Suppose d - 5 = 5*k, t*k - 2*d = 3 - 13. Find the first derivative of 6*n**3 + k*n**3 - 7 + 2*n**3 + 3 wrt n.\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 (base 11) to base 12\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 9*l + 6*l)*(l - 2*l + 0*l) + 2*l - 6 + 55 - 13 - 2*l**2.\nAnswer: -17*l**2 + 2*l + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8801428 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: Expand -20 + 20 - 17*n + (-2*n + 1 - 1)*(2 - 3 + 3).\nAnswer: -21*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -1\/6 (b) 5 (c) 25 (d) 5\/6 (e) 7\/4 (f) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 9*b + 8. Let v be u(-9). Suppose 12 = 2*x - v. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/6)\/k**(16\/9))**(2\/15) assuming k is positive.\nAnswer: k**(-47\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 11 - (-2 + (14 - 6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 230*o**5 + 47*o**3 + 234*o**5 - 462*o**5 + (-2*o**5 + 4*o**5 - 4*o**5)*(0 + 2 - 4).\nAnswer: 6*o**5 + 47*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -27*m**2. Let t be (-18)\/3 - (1 - 11). Let h(q) = 4891*q - 4891*q - t*q**2. Determine h(c(s)).\nAnswer: -2916*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54297463\/564 + 288817\/3. Let z = t - -2\/141. Factor 1\/2 - 1\/4*m - z*m**2.\nAnswer: -(m - 1)*(m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -432\/5 + 86. Do 17 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 5 + -26 + (-13 - -32) + (0 - 50)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.6 - 3.5. What is the third smallest value in -7, 4, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/(-35) + 2648\/(-4928). What is the biggest value in n, -6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -186 + 182. What is the remainder when 126 is divided by (b\/(-10)*-2)\/((-3)\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2326 - 2322. Solve -2*b = v*n - 18, -5*b - 4*n - n + 30 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1300 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6588 - -18578. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*(-1)\/(-1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2502 and 918.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 0*j + j + 4 + 2*j. Let d(g) = g**2 + 7*g + 14. Let f be d(-6). Let l(n) = -2*n**2 - 8*n - 11. Give f*s(h) + 3*l(h).\nAnswer: 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 499 or 13.59?\nAnswer: 13.59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-894)\/(-39))\/(16\/12 + -1). Let m = d - 69. Let t = 1.1 - 1. Is t >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1633 is divided by 70?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*(4 + sqrt(2299)*-2 + -4)*6 + 3.\nAnswer: -660*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41 or 48?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -37*y + y**2 - 1\/2*y**3 + 0 - 1\/4*y**4 + 1\/10*y**5. Determine j(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -7*x**2 - 169*x - 34. What is i(-24)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1790 by -1.\nAnswer: -1790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t**3 - 7*t + 6*t + t.\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j + 17. Let z be h(-12). Let i be (-1216)\/(-56) - 2\/z. Let y = 48 - i. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 95 - 93. Suppose 4\/3*o + 2\/3*o**3 + j*o**2 + 0 = 0. What is o?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -189, -70, 245, 846, 1823, 3266, 5265?\n\"Answer: 15*t**3 + 8*t**2 - 10*t - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 99, -20, 5, -10, -7 in descending order.\nAnswer: 99, 5, -2, -7, -10, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**23\/((f**18\/f)\/f*f) assuming f is positive.\nAnswer: f**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 303851, 303849, 303847, 303845, 303843, 303841?\n\"Answer: -2*d + 303853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -1)*(-10)\/20. Let f = 0 + 3. Solve f*o = 5*o - 3*g + 7, b = -g + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5217333499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 c when four letters picked without replacement from {p: 11, c: 5}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*f - 1 - 3 + 3 - 4*f to the form l + q*f and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**6\/p**(-3\/4))**1*((p\/(p*p**(2\/3))*p)\/(p*p**7))\/((p*p*p\/p**(-2\/7))\/p**(4\/7)) assuming p is positive.\nAnswer: p**(-305\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5*b + 496 = 0, -r = 2*b - 149 - 18. Let i = 92 + r. List the prime factors of i.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -23. Solve 0 = 5*l - m - 1, -3*l + 0*m - m = d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32.14 + -37.14. Which is the smallest value? (a) i (b) -0.1 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10 + (-31 - (-19 - 4)). Let a(j) = 22*j - 64. Determine a(t).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*11\/495 + 584\/(-36)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 80798 or -58\/5?\nAnswer: 80798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 930950 and 2150.\nAnswer: 930950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.008 + -0.002. Let k = -1.3 + 1.314. Let v = k + m. What is v rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1498211.1 rounded to the nearest 10000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 8940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 3*x**5\/20 + 7*x**3\/6 + 9*x**2\/2 + 9. Let z(l) be the second derivative of j(l). Differentiate z(k) wrt k.\nAnswer: 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 + 9341*n - 28044. Determine l(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -21, 12, -76, 2, -3 in increasing order.\nAnswer: -76, -21, -3, 2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001010110110011101 (base 2) in base 14?\nAnswer: -20648d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 46, 53, 60, 67, 74?\n\"Answer: 7*n + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least as big as 3551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 72*j**2 + 736*j - 96. Determine y(-81).\nAnswer: -663","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -3 (b) 4 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence izir when four letters picked without replacement from niinrznnz?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 365109853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 11*a + 4. Let z(k) = -10*k - 4. Let i(n) = -3*s(n) - 2*z(n). Let g(q) = 145*q + 45. Let c(x) = -4*g(x) - 45*i(x). Let m(o) = 2*o. What is c(m(l))?\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*2\/6*-9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-2)*(0 - 2). Let h(t) = i*t**2 + 0 - t**2 + 6*t + 2. List the prime factors of h(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rz when two letters picked without replacement from {z: 7, a: 6, r: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*(g\/g**0)\/g)\/g))\/(g\/(g**(3\/5)\/g)))\/((g\/(g*g**11*g)*g)\/(g*g\/((g\/g**(-8)*g)\/g))) assuming g is positive.\nAnswer: g**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r + 235049 - 235049.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -87*w + 24. Let u(f) = 35*f - 10. Determine -5*d(l) - 12*u(l).\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q - 11*q + 6*q**3 + 3*q.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 2*z**7 - z**3 + 2*z**2 - 30. Find the third derivative of g(i) wrt i.\nAnswer: 1680*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30771 is divided by 1110?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 16*z + 11*z)*(13 - 1 + 66).\nAnswer: -390*z + 156","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 12:04 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**3 + 3*d**2 + 2*d + 3. Let m(x) = -x**3 + x**2 - 2. Let j be m(0). Let g be y(j). Let s = g - -11. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**6 + 453632861*h**3 - 716565386*h**2 - h.\nAnswer: 120*h**3 + 2721797166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**4\/4 - 2*j**3\/3 - j**2. Let k be (-30)\/(-1)*-6*(-5)\/15. Let g be (-32)\/144 - (-1 + k\/(-27)). Determine z(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -823625 + 823624 + 2*i**2 - 25*i**3 + 5*i**2 to r + o*i**3 + d*i**2 + s*i and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 2) + 19 + (-7 - 25) + 5?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*l + 4*w + 40 = -46, 21*l - 26*l - 7*w - 18 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 44. Let w be m(0). Let l be (-8)\/w - (-376)\/11. Let a be ((-34)\/(-4))\/(2*1\/4). Calculate the greatest common factor of a and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tliiitltttiltlti. What is prob of sequence llit?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 4*l - 174, 5*l = 4*f + 72595 - 72357 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -4. Suppose -o - v = -5. Suppose -4*u = o*p - 16 - 4, -2*p - 2*u + 14 = 0. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 q when two letters picked without replacement from aqqaq?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-53295)\/(-25) - 72\/40)*38\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-2) - (-11)\/1. Factor p*i**3 + 5144*i**2 + 35*i - 5189*i**2 + 5*i.\nAnswer: 5*i*(i - 8)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3804?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 2 - 2)*(-4 + 5 - 31)*(0*r**2 + 5*r**2 - 4*r**2).\nAnswer: 750*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1807 divided by 13.\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (-2)\/2 + 8. Find the first derivative of x*k**2 - 2*k**2 + 3 + k**2 wrt k.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/12 - (-117)\/4?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 10:53 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + s**2 + s + 5. Let d be b(0). Suppose y + 180 = -2*g - 198, d*g = -2*y - 946. Let r = g - -463. List the prime factors of r.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 49068075\nAnswer: 4906807.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2828742 is divided by 248.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-9)*6*4\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*g - 2*m - 12, -4*g = 3*m - 10. Let z(h) be the third derivative of h**5\/60 - h**4\/24 - h**3\/3 - 3*h**2. What is the units digit of z(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**2 + g - g + (0 - 2 + 0)*(g**2 - 2 + 2) + 0*g + 0*g + g**2 + 24*g**2 + 12*g**2 + 9*g**2 - 2 + 2*g**2 + g**2 - 5*g**2.\nAnswer: 45*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.565238 + 0.007018. Round i to two dps.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/12, 0.3, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 6034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*3\/(-15)*90\/(-36)*-993. Calculate the greatest common divisor of c and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3961325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 27 - 1 + 0 - h. Let z be v(0). Let a = z + 50. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -335944.199892 + 335913.2. Let x = p - -31. What is x rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 9*w. Let r be h(-3). Suppose -11*f - 12 = -7*f. Let a = f + r. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 23 = 2. Suppose 22 = -3*p + o*p. Suppose -73 - p = -4*j. List the prime factors of j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-522)\/435*110\/(-6))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2079784951?\nAnswer: 131, 15876221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -164 - 41. Let h = b + -34. What is the greatest common factor of 63 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -159 (b) -5 (c) -3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, p: 1, m: 1}. Give prob of picking 1 e and 1 m.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 51*d**2\/4 + 317283*d\/4 - 121329\/2 = 0?\nAnswer: -6222, 13\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -3*q + 4. What is the remainder when 75 is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.033481 to three dps.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = -2080 + 480. Let b = 883 + j. Round b to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2742, -5494, -8246, -10998, -13750, -16502?\n\"Answer: -2752*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(147) + 2)*-4 - ((sqrt(120)\/sqrt(4) + sqrt(30))\/sqrt(10) + (4 + sqrt(192))**2).\nAnswer: -184 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/4 and -39\/170?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/4 - l + 3\/4.\nAnswer: (l - 3)*(l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*v = -10, 4*v - 3*v = -5*q + 5. Suppose 5*l + 8587666 + 14912334 = q. Round l to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/105*(-27)\/9. Which is the second smallest value? (a) 1\/6 (b) j (c) 90\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31155599?\nAnswer: 29, 59, 131, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 11*j - 91. What is the remainder when u(5) is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51231200 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2013*c**5 + 13*c**4 - 20*c**3 + 6712788*c**2?\nAnswer: -120780*c**2 + 312*c - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**2 - 26662*p - 177715561 = 0. What is p?\nAnswer: -13331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**2 + b + 2. Let z be a(-2). Solve 3*x - 2*i + 6 = -3*i, 0 = -3*x - 3*i - z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 8) to base 5\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74 and 259?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -2 (b) -4 (c) 2\/7 (d) -28 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 25*p - 1. Let f be ((-1)\/(-6))\/((-2)\/(-12)). What is the units digit of r(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 10:42 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 3\/(-1) + 11. Let d = -5 + u. Solve c + d = 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**5 + 83930*a**4 - 1174340*a**3 + 5031960*a**2 - 6037920*a = 0. Calculate a.\nAnswer: 0, 2, 6, 16772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-12))\/((-2)\/(-20)). Let w(a) = a - 2. Let p be w(d). Suppose p*n = -n + 88. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 29*f = 25*f + 6, -5*f + 5 = 5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -9*w - 5. What is the remainder when 63 is divided by q(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 10:23 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-9)*(-12)\/8. Let b = l - 1\/6. Sort b, -0.5, 4.\nAnswer: b, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nv when two letters picked without replacement from ngnavnggqa?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*r - 8*r = -2, -5 = -3*f - 2*r. Solve -2*g - f*s - 12 = 0, 0*g = 2*g - 3*s for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 0.05, 15, -6, 0.15, -15.2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 270573279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + (-4257 - 2))\/((-234)\/32). Let c = -583 + l. What is the second smallest value in -5, c, 2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**4\/12 + 7*b**3\/3 + 7*b**2. Let z be y(6). Factor 5 + 4*s**z + 1 - 22 + 12*s.\nAnswer: 4*(s - 1)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-1) + ((-220)\/(-5))\/4. Suppose -q - 350 = -3*q. Suppose -s*p + q = -p. What is the greatest common divisor of 14 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38.95 + -37. Let u = -0.05 - j. Let m be (11\/44)\/((-1)\/6). Which is the biggest value? (a) u (b) m (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 14*u + u**2 - 19*u + 11*u - 4. Calculate the smallest common multiple of q(-7) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.53 - 5.53. What is the closest to -1 in -3, r, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/11 (b) -4 (c) -0.2 (d) -4\/5 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 32. What is the nearest to 0 in 15, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 87*d + 91*d = -4, 3*d + 15 = 0. Let v = -12 + 6. Calculate the least common multiple of r and (-32)\/v*(9 - 3).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/135157?\nAnswer: -3\/135157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t + 8. Let m(w) = -w**3 - 4*w**2 - 4. Let v be m(-4). Let x be (v + 2)*5\/2. Determine c(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t**2 - 174*t - 244. Let d be s(45). Suppose -3*j - 10 = -5*k, -4*k - 6 + 1 = -5*j. Calculate the highest common divisor of d and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*(h\/(((h**(1\/2)\/h)\/h)\/h*h))\/h*h**(4\/7)*h*h)**(3\/19))**(-15\/7))**(-2\/7) assuming h is positive.\nAnswer: h**(3195\/6517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -18. Let k be (28\/t)\/(7\/(-378)). Suppose k = 6*d - 2*d. What is the highest common divisor of 9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22\/12 - (-2)\/(-2). Let p = -1732.3 + 1732. Which is the third smallest value? (a) q (b) 16 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 5. Suppose u = t + t - 6, -2*l = -2*t - 28. Suppose 4*q - 3*q = l. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9635*a - 4821*a - 4832*a + 5.\nAnswer: -18*a + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + (-2)\/8)*-2. Let d = -3.4 + 2.4. Which is the second smallest value? (a) y (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -25, 10*l - 13*l + 6 = 3*w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2)*(-10)\/50.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -11*f**2 - 15. Let b(a) = -5*a**2 - 8. Let v(s) = -7*b(s) + 3*q(s). Differentiate v(w) with respect to w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 247 + 2*-1. Suppose 3*v - u - 170 = 0. Suppose -v = -2*z - 5*n, z + 2*n = 5*n + 69. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*d**5 - 5*d**5 + 5*d**5 + (3*d + d - 6*d)*(-3*d**4 + 4*d**4 + 0*d**4).\nAnswer: -9*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 144 - 134. Let o be (-2)\/y - 589980\/100. Round o to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-25) - (-7)\/85.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/((-28)\/(-44)) + -2. Suppose -175 = -g*l - 67. Solve -3*t = 3*t - l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*(-2)\/((-6)\/(-3)). Suppose -14 = -q*a + 36. Suppose 2*k - 20 = -2*k. Solve k*g + 7*u = 2*u - a, 4*u - 1 = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**4\/4 - 88221*w**3 + 705783*w**2\/4 + 88221*w - 176445 = 0. Calculate w.\nAnswer: -117630, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-1 + (-5 - (-54)\/10))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9, -21, -63, -123, -207?\n\"Answer: -n**3 - 23*n + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -8*r. Let h(n) = -3*n. Let d be h(2). Let l(i) = -9*i. Calculate d*b(z) + 4*l(z).\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 11, 0, -162, -4, 5 in descending order.\nAnswer: 11, 5, 2, 0, -4, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 9*g. Let u(a) = 55*a**2 - 45*a - 45. Let l(t) = -5*t**2 + 4*t + 4. Let o be 4\/(108\/1209) + (-44)\/(-198). Let m(y) = o*l(y) + 4*u(y). What is m(q(v))?\nAnswer: -405*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0, 427, -1, 2 in decreasing order.\nAnswer: 427, 13, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 - 21. Let v be (r\/6)\/(2\/(-18)). Calculate the least common multiple of 9 and (-100)\/v + 2\/(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-1*(-1)\/(-4)). Suppose -5*h - 4*f + 25 = 0, -4*h = -j*f - 28 + 8. Let v = h + -1. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1539) + 4*3*sqrt(1539) - -1*3*sqrt(1539))**2 + 4.\nAnswer: 393988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 55, 99, 161, 247, 363, 515, 709?\nAnswer: 951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-15))\/(48\/240). Which is the closest to 1? (a) 0.06 (b) v (c) -18 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*z - 3*z - 5*n, -3*z = 2*n - 11. Let y(q) = -405*q + 206*q - z + 201*q. Determine y(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 693 + -293. Calculate the greatest common factor of 25 and v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/3)\/n)\/n)**(-3\/10)*(n\/n**(2\/7))\/n**(-4) assuming n is positive.\nAnswer: n**(179\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 5:33 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*r - 69757 - 83273. What are the prime factors of r?\nAnswer: 3, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*s**2 + 6 - 2 - 6*s**2 + 116*s**3 - 3.\nAnswer: 116*s**3 - 32*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**3 - y**2 + y + 1. Let k be i(-1). Solve -k*t - 3*t - 3*l + 8 = 0, 4*l = 4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 20*k + 37. Let h be y(18). What is the second biggest value in -5, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 1. Suppose -u + 42 = t*u. What is the smallest common multiple of 14 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 747091?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, p: 1, x: 2, m: 1, f: 6}. Give prob of picking 1 m and 1 p.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*p - 14*p + 38*p**2 + 11*p + 2*p to the form q*p + c*p**2 + d and give c.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-2 + sqrt(171) - sqrt(19) - sqrt(19)) - (-3*-2*sqrt(133))\/sqrt(7)) + 3)**2.\nAnswer: 18*sqrt(19) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 302600 * -0.1.\nAnswer: -30260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 14 = 3*f. Suppose -4*s - 4*l + 404 = 0, -f*s = -s - 5*l - 209. Does 17 divide s\/6*2\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0*b)**(-32\/3))**(-44) assuming b is positive.\nAnswer: b**(1408\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w. Let b be g(0). Suppose 5*d = 2*s + 164, 2*d - d + 3*s - 26 = b. What is the remainder when d is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -110800000 to the nearest one million.\nAnswer: -111000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1089820421618 and -0.7?\nAnswer: 1089820421617.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -191053, -191048, -191041, -191032?\n\"Answer: a**2 + 2*a - 191056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -233 - -235. What is g in 204*g**p + 211*g**2 - 15 + 18*g - 418*g**2 = 0?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9.3 (b) -1 (c) -2\/21 (d) 0 (e) -0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 968855005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, g: 2, y: 2}. What is prob of sequence gggc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -3065 and -3062 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/7)*f*f)**(-29)*((f**(-1\/4)*f)\/f)**(3\/2))\/(f\/(f**0\/f)*f\/(f**5*f)*f)**(-24) assuming f is positive.\nAnswer: f**(-6421\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*u**3 + 118*u**3 + 122*u**3 - 356*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4409*r - 1. Let u(d) = -d. What is o(u(m))?\nAnswer: 4409*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 3*m**2 - m + 2. Let n be q(-3). Suppose -3*h + 267 = -5*i, -n*i + 6*i = 5*h - 423. Is 44 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245469137843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 12:06 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28821 + -28821.1. What is the nearest to h in -39, -0.3, -4\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 20\/241?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 17. Suppose -4*t - 2*k = -26, -3*t + k = 12 - 39. Give p(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**5 - 21*z**3 + 18*z**2 = 0. What is z?\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 6*f**2 + 5*f. Let u be q(5). Suppose u = -3*i + 8*i - 10, 2*a - 4 = -2*i. Suppose 0 = 5*m - a*m - 700. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y**2 - 21*y - 3. What is n(1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + 2*d + 23, 741*n - 2*d + 7 = 736*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3 = 0, -z + 1 = -2*u - 0*u. Let k(d) = -d**2 - 3*d. Let t(v) = -v**2 - v - 1. Determine u*t(x) + k(x).\nAnswer: x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4d6c64 (base 15) in base 9?\nAnswer: 6887044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Suppose h = -0*f - f + 1. Let u be (2\/(-4))\/((-12)\/24). Calculate the highest common divisor of u and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -1. Let z(y) = 28*y**3 - 4*y**2 - 3*y - 4. Let a(d) = -29*d**3 + 6*d**2 + 4*d + 6. Let s(t) = -3*a(t) - 4*z(t). Determine s(v) - 2*x(v).\nAnswer: -25*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o - 3. Let c(y) be the second derivative of y**3\/2 - 2*y**2 - 8*y. Determine 3*c(x) - 4*z(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2. Suppose -9*z + 11*z - 10 = v. Let b = z + -3. Let q(x) = -x. Let c(f) = -1. What is b*c(r) - q(r)?\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 8*x - 6. Determine i(-4).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85385 is divided by 246?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*g + 10 = 3*g, 0 = 4*k + 3*g - 6. Solve k*b + 2 = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q - q + q)*(12 - 13 - 46*q + 18*q) to the form v*q**2 + h*q + y and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000000 (base 2) in base 3?\nAnswer: 2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11425, 11453, 11481, 11509?\n\"Answer: 28*o + 11397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*c - 155 + 155.\nAnswer: 209*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 117 + -120. Sort z, -0.2, 3, -2\/9 in increasing order.\nAnswer: z, -2\/9, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22 - 83?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3345908 less than -0.5?\nAnswer: -0.8345908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fewfbwbfebfwfyf. Give prob of sequence fe.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, q: 4, v: 2}. What is prob of picking 1 v and 3 q?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**5\/180 + y**4\/36 + y**3\/18 + 7*y**2\/2 - 6. Let x(d) be the second derivative of u(d). Factor x(a).\nAnswer: (a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 158 - 5837?\nAnswer: -5668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*1*sqrt(405)*-2 + -1.\nAnswer: -1 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736)*-1)**2 + (-2*sqrt(1216))**2.\nAnswer: 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39191 is divided by 1654.\nAnswer: 1149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(3))\/sqrt(8) - sqrt(5) - -1*sqrt(405))*-5 + (2*sqrt(245))**2 + sqrt(125) + (sqrt(125) - -1*sqrt(125)).\nAnswer: -30*sqrt(5) + 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 10*h + 15. Let f be 40\/(-20)*(0 + 2 + -8). Determine j(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*j**3 - 14*j**3 - 8*j - 7*j**3 - 4*j**2 + 52*j**3 - 6*j**3 to q*j**2 + t*j + h*j**3 + g and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.01, 5, -5 in decreasing order.\nAnswer: 5, 0.01, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4 - 2512*d**3 - 406744*d**2 - 3881040*d - 9548100.\nAnswer: -4*(d + 5)**2*(d + 309)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60173*p + 499 + 60724*p + 499 - 998.\nAnswer: 551*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3779, 2, -94\/3 in ascending order.\nAnswer: -94\/3, -4\/3779, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6779519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, x: 10}. What is prob of picking 2 k?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1 - -15) + (-60 - -47) - 20) + -8?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620349298?\nAnswer: 2, 310174649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -161269 less than -161268?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**4 + 2*h**4 + h**5 + (-3*h**3 + 3*h**3 + 2*h**4)*(0*h + h - 4*h).\nAnswer: -5*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9146739 is divided by 558.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 - 21059*h**2 + 42121*h - 21061.\nAnswer: -(h - 1)**2*(h + 21061)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*t + 42*t + 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1\/(-6))*(376\/(-3770) - 454\/(-14755))\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 - (-4 + -27 + 22).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 13*h**2\/2 - 69. Let u(x) = -x + 8. Let l(c) = -2*c + 10. Let r(p) = -4*l(p) + 5*u(p). Calculate r(j(o)).\nAnswer: 39*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j - 569 = -3052. Calculate the remainder when j is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 84.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 476871486 a multiple of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1161, -1192, -1237, -1290, -1345, -1396, -1437?\n\"Answer: l**3 - 13*l**2 + l - 1150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 1. Let s be h(-2). Is 42\/11 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 2*h - 18. Find the third derivative of 34*t**h - 21*t**2 + 31*t**6 - 11*t**6 wrt t.\nAnswer: 6480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - f - 1111. Let n be s(0). Let l = n - -768. Let u = 828 + l. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5879*i**4 + 265*i**3 + 7439*i - 152?\nAnswer: 70548*i**2 + 1590*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 23*i**2 - 21*i - 12. Let l be u(22). Suppose 35 = 3*x + 4*d, -4*x + 5 + l = -d. Put 1, x, 4, 0 in decreasing order.\nAnswer: x, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/144 and 20\/46953?\nAnswer: 751248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 2*h + 19. Determine a(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/(7\/(-4)) + (4 - -1). Is -2\/43 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 5*w + 0*w)*(2*w**3 + 3*w**3 - 7*w**3 + (-118*w**2 + 118*w**2 + 28*w**3)*(1 - 2 - 3) + 3*w**2 - 3*w**2 - 3*w**3).\nAnswer: 117*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + 17880\/(-450) - 34\/(-2)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -1. Is 12 a factor of 2*6 + 0\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*o + 1. Suppose a + 4 = -0*a, -4*g = -2*a - 84. Let q = -27 + g. Sort q, o, 4 in descending order.\nAnswer: 4, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -9*g + 1868. What is the hundreds digit of u(79)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.22 - 0.12. Let m = c - 0.8. What is the closest to 1 in -5\/6, -2\/5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -78, -105, -154, -231, -342, -493?\nAnswer: -690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 80 = 2*o, 0 = -2*o + 2*f + 83 - 9. Calculate the greatest common factor of 4 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189 + 722 = -234*g + 5213 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 5*m + 10, 18*i - 22*i - 2*m = 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*r + 177*r = -3*j + 81, -2*j - 198 = -5*j + 5*r for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111490, 222985, 334480?\nAnswer: 445975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-99)\/(-792) - 248796\/(-32)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 9*d + 13. Determine n(-7).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -471\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39768 = f - 36*l + 38*l, -5*l = 2*f - 79540. Suppose 0*x = 5*t + 3*x - 6, 4*t - 4*x - 24 = 0. Is f\/24 - t\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -172773 by 2732.\nAnswer: -172773\/2732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 + 0.7. Let x = -12 - -40\/3. Which is the nearest to 0? (a) x (b) t (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 127, -1, 0.5, 3, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 516?\nAnswer: -1\/258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 499233573 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37065133 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-410)\/(-1025)*(-10)\/4. Is v <= -4\/3799?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(5\/3)*v*v**(-25)*v*v*v**(4\/19)\/v*((v*v**(-17)*v)\/v*v)\/v assuming v is positive.\nAnswer: v**(-2116\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 200691?\nAnswer: 200695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, m: 4, z: 1}. What is prob of sequence mmmm?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 327512 and 491268.\nAnswer: 982536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a + d22?\nAnswer: d2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -262*m**5 - 10*m**2 - 6*m.\nAnswer: -15720*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (27 - 13) + 14.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/6 and -48\/27649.\nAnswer: 165894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15*c**3 - 20*c**3 + 36*c**3 - 614*c + 200 wrt c?\nAnswer: 3*c**2 - 614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (1 + 1 + (4 - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*(sqrt(39) - (sqrt(1404)*2 + sqrt(1404)))\/(sqrt(3) + sqrt(75)*1).\nAnswer: 17*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, q: 2, z: 4, k: 4}. What is prob of sequence qkkk?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 12*u**2 - 21*u - 13. Let i be o(-10). Which is the second biggest value? (a) 3\/7 (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04622 * -0.6.\nAnswer: -0.027732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -67 + 204 - k - 67 - 71. Calculate g(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61367 + 26577. Let x = -3131003\/90 - n. Calculate the common denominator of x and -8\/33.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -165 + 168. Suppose 4*n = 610 - 106. Suppose l*i = -m + 223, -2*i + 4*m = -m - n. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1809287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a5824a - 18?\nAnswer: -a58267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 4)*(-3 + 0 + 2)*(-14*m - 10 + 10) + (51 + 49 - 44)*(-1 + 1 + 2)*(-4*m + 2*m + m).\nAnswer: -154*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 10*t - 45. Let c(m) = m**2 - m + 3. Give c(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 74*s - 69*s + 131 = 0, -s = 2*q + 78. What is the nearest to 0.1 in q, -0.4, 4\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18619*f**2 - 23678 wrt f.\nAnswer: -37238*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2.5. Suppose 5*s + 36 = 8*s - 21*s. Let y = 7 - 5. What is the nearest to y in 0.2, z, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 4*w. Let a = -1 + 5. Let h be j(a). Let q be (7 - 3 - 3)*5. Solve 5*k + h = 5*i + q, -12 = -4*i - 4*k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*s - 30*s + 13*s + 19)*(-1 - 2 + 1).\nAnswer: 2*s - 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**5\/20 - 5*b**4\/6 + 23*b**3\/6 - 2*b**2 + 2730*b. Give y(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1678 and -1503330.\nAnswer: -1505008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k**3 - 10*k**2 - 15*k + 23. Let g(h) = -h**3 - 2*h + 1. Let c(u) = 6*g(u) - z(u). Suppose 0*a - 40 = -4*a. What is the tens digit of c(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*(1892\/(-77) - (-6)\/(-14)). Let x = -118 + f. Calculate the greatest common factor of x and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 389 and 161880?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322888?\nAnswer: 2, 40361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 127245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**4\/6 - 49*k**3\/6 - 223*k**2\/3 - 532*k\/3 = 0 for k.\nAnswer: -38, -7, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 0*k - 16. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2195 + 2213. Solve 0 = -i*d - 107 - 1 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2128 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1565 + 2*g - 1547 + 3*g + 4*g to the form p*g + a and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/110)\/((-1)\/4)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 5*c + 9)*(10 + 9 - 16) + 0*c - 38*c + 0*c.\nAnswer: -53*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21774 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(3\/9) - 0. Let l = y + -5. Let f = l - -9. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1764 divided by -140759?\nAnswer: 1764\/140759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1815741 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d - 237 = 3420. Let h be 1\/5 + 8476\/20. Calculate the greatest common factor of h and d.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(3 + (-5 - -2)). Let z be (-2 - 0) + 20\/10. Solve 5*f + z*f = q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 149 + 35 + 40 + 35 - 368*z + 350*z.\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00055298 rounded to 5 decimal places?\nAnswer: 0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 26 + ((-4)\/4 - 1). Suppose 0 = 2*o - 8*o + k. Suppose -s = 2*h - 13 - 28, 4*h = o*s - 164. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yydl when four letters picked without replacement from {l: 5, f: 1, y: 7, d: 2, o: 1}.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3032, -6088, -9184, -12338, -15568?\nAnswer: -18892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 17*y - 20 = 0. Sort -5, 0, -9, y in decreasing order.\nAnswer: 0, y, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 + 8*i - 5*i - 3*i + 0*i - 61 - 5*i**2.\nAnswer: -5*i**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.085 + 4.015. Let o = f + -4. What is o rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -171, -255, -395, -591, -843, -1151?\n\"Answer: -28*u**2 - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3200)\/(-256) + 15\/10 - ((-1545)\/(-5))\/3?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from bug.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r + 21. Let p be a(15). Let g(n) = 4 - 9*n + p*n + 2*n. Calculate g(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mem when three letters picked without replacement from mem?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.16 + 1.11. Let j = 32 + -31.95. Let u = t + j. Which is the second biggest value? (a) u (b) -2\/7 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1151149799*-0.4\nAnswer: 460459919.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**4\/3 - 1768*d**3 - 139438*d**2\/3 + 162388*d + 621296\/3 = 0.\nAnswer: -29, -1, 4, 2678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.06, 1, -118656?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1574188?\nAnswer: 2, 7, 11, 19, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 + 0.3. Let t be -2*1\/(-2)*14\/28. Let d = 8.2 - 8. Which is the nearest to v? (a) 2\/13 (b) d (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*k + 27. Suppose -v = -4*w - 3*v + 360, 288 = k*w - 3*v. Is w a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4798912, 9597881, 14396904, 19195981, 23995112, 28794297, 33593536?\n\"Answer: 27*h**2 + 4798888*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, w: 5}. Give prob of picking 4 w.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 64*t**2 - 962*t + 98. What is x(-40)?\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 111.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 17. Let p = -14 + i. What is the third derivative of -x**5 - 24 - p*x**2 + 24 wrt x?\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*h = 22*h - 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 20 = -5*z - 4, -3*y + 9 = 3*z. Let a(l) = 2*l**3 - l - 1. Let j be a(-1). Is (-1)\/j - (-374)\/z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-175)*-10)\/2\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 8. Which is smaller: t or 8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 24, 3021.\nAnswer: 9, 24, 3021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2601*o = 4094*o - 551*o + 100617 + 22263 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.045226 and 87.\nAnswer: -3.934662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 157, 353, 673, 1111, 1661, 2317, 3073, 3923?\n\"Answer: -x**3 + 68*x**2 - x + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 14. Let y be (4\/(-2))\/((-6)\/9). What is the closest to h in -2\/3, -2, y?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -w + 27, -186*w - 46 = -189*w + 5*a. Solve -y + 16 = -w*p + 10*p, -4*p = 4*y - 32 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1654317581?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000332561 rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 - 7292*p + 7296.\nAnswer: -4*(p - 1)*(p + 1824)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, a: 4, x: 2, v: 3}. Give prob of sequence amm.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c + 3*a - 6 = 19*c, 3*c = -4*a + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: c14c8 (base 16) to base 13\nAnswer: 2194c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.3 - 0.5. Let d = 17.43 - 16.7. Let t = j - d. Sort -2\/3, 0.4, t in ascending order.\nAnswer: -2\/3, t, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 + 792 - 6 - (3 - 1) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -9*x**2 + 9*x - 6. Let i(h) = 3*h**2 - 3*h + 2. Let j be ((-2)\/4)\/((-525)\/(-66) - 8). What is j*i(s) + 4*g(s)?\nAnswer: -3*s**2 + 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 16, 7, -0.21, -14?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2) + -2 + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-5\/3)*g)\/(g*g*g\/(g**(-11)*g*g)*g))\/(g**(2\/17)*g**(-5)\/g))**(-14\/5) assuming g is positive.\nAnswer: g**(4844\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u + 18 = 158*l - 159*l, 0 = 2*u + 2*l + 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 344995 to the nearest 1000.\nAnswer: 345000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -2 (c) -52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 5*i - 7672. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -281 + 65 = 4*q. Let o be (-3)\/15 - 22\/(-10). Is o\/4*-2 - q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 3*c - 5 + 4 - 5. Let r be v(-5). Determine g, given that -6*g**3 - g + 2 + 4*g**2 - g**5 + r*g**4 - 2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 69*r**2 + 2*r - 1. Let z be c(1). Is (-1 - (0 - 0)) + z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2572, -5006, -9064, -14746, -22052?\n\"Answer: -812*u**2 + 2*u - 1762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -136886.105 rounded to the nearest 10?\nAnswer: -136890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 33237278 and 7.\nAnswer: 33237285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 1, 3, 2 in ascending order.\nAnswer: -31, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 952826.2 tonnes to grams.\nAnswer: 952826200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 120 + -116. Solve -q - 4*u + 19 = 0, 2*q = -o*u + 7*u - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -30, -2695, 18 in descending order.\nAnswer: 18, 7, -30, -2695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 67 (base 8) to base 5\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 6*n**2 - 3*n - 9. Let h be f(5). Let s(i) = -2*i**3 + i**2 + 2*i - 1. Let a be s(h). Are a and 12 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.738 - -96.562. What is x rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23560611?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 4*x**2 + 3*x - 1. What is b(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 673906906?\nAnswer: 2, 336953453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 13*z**2 + 33*z + 3. Suppose 6*f - 12*f - 12 = -2*o, 20 = o - 5*f. Give r(o).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 110\/22*-2*(-460)\/100*1\/(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (116*c + 4 + 117*c + 74*c - 11*c)*(0*c - 6*c + 4*c).\nAnswer: -592*c**2 - 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**3 - 1506*z**2 - 119887*z + 3110. Give v(444).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4630 is divided by 515?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 260 and 208.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.37 * 13621.\nAnswer: 5039.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -159 + 108. Let a = z + 65. Solve -5*n + 2*j = -0 - 27, 2*n - a = 4*j for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 14.34. Let z = w - 9.34. What is z rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8357 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 >= -213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 821*j**2. Let u(x) = 9*x**2. What is g(u(z))?\nAnswer: 66501*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 191287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4790 - 116134718\nAnswer: -116129928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -25*k**3 - 4*k**2 - 2. Let t(q) = 76*q**3 + 13*q**2 + 7. Let r(f) = -106*f - 3072. Let a be r(-29). Calculate a*t(s) + 7*j(s).\nAnswer: -23*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -6*k**3 - 16*k**2 + 5*k + 8. Let a be b(-3). Solve -a*x = -12*x + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*f - 2*p, -2*f - f = p + 17. Let j(g) = 4*g**2 - 2 - 3*g**2 - 4 - 29*g + 33*g. Give j(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 27*z**6\/25 + 414*z**5\/25 + 1562*z**4\/15 + 5152*z**3\/15 + 3136*z**2\/5 + 17*z - 16. Let k(u) = 0. What is u?\nAnswer: -28\/9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 2*i - 117 + 1781, -4*i - 1662 = -2*v. Calculate the greatest common factor of v and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + i = -49549 + 149799, 0 = -2*i. Suppose 190 - h = -20*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23.7 - -7.1. What is q rounded to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/9 in -0.251, -2\/5, 1\/3, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 353 - 352.91865. Let m = h + -0.083. Round m to four dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 3*w - 6, 2*w - 5*g = -2*w + 8. Let y be ((-28)\/12 + 2)*-18. Let u be -1 - (y - 3) - w. Sort u, 4, -3.\nAnswer: u, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 4*h. Let m = -95 + 91. Let p be m - ((-16)\/4 + -5). Let d(q) be the second derivative of q**5\/10 + 5*q**3\/6 + q. Give p*x(k) + 4*d(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**2 + 0*g**2 - g**2 + (-74*g**2 - 243 + 243)*(1 - 2 - 1) as o*g + d + j*g**2 and give j.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 28539.44908 to the nearest 1000.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 126050 to the power of 1\/2, to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2557, 2559, 2561, 2563, 2565?\nAnswer: 2567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -58, -102, -184, -316, -510, -778?\nAnswer: -1132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1778 + 14\/(140\/30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -61502*a + 109. Is l(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2 + (0 + 1 - 2)*(3 + 0 - 4) + 2 - 1 + 2)*((5*b - 4*b - 2*b)*(-3 + 1 + 3) - b + 2*b - 2*b + 3*b - 5*b + 0*b + b + 3 - 3 - 3 + 0 + 10*b - 9*b).\nAnswer: -4*b - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26186 + 26186 + 3*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - -304. List the prime factors of w.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 - 21*r**2 + 10*r + 709. What is m(6)?\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15318*k**5 - 53*k**4 + 2*k**3 + 14476094*k wrt k?\nAnswer: -306360*k**3 - 636*k**2 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 2:53 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**4*j**(1\/7)*(j*j**(-23)\/j)\/((((j\/(j**(-6\/7)*j))\/j)\/j)\/j) assuming j is positive.\nAnswer: j**(-117\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.59525 - 21188.03475. Let q = u - -21189.63018. Let v = q + 17. Round v to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -1\/4*r**4 - 3*r**2 + r - 2 + 2*r**3. Let s be -2*(-20)\/24*3. What is g(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2903\/1570 + 8\/157. Calculate the common denominator of 93\/4 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -4)\/3 + 4. Suppose -g - 3*u - 28 = -o*u, 0 = g + 2*u + 24. Let w = g + 26. Which is the second smallest value? (a) w (b) -0.1 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16955 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + (-85)\/(-55) + 138384\/33.\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 167673812?\nAnswer: 3688823864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6271610 and -0.045.\nAnswer: -282222.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-426)\/(-918)*15 + -7)*39\/13?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03 + -4.03. Put 5, 2, z in ascending order.\nAnswer: z, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**3 + 45771*d**2 + 45780*d - 91548 = 0.\nAnswer: -2, 1, 15258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1662286 and 18.\nAnswer: 14960574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1162685243 and 683.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - 29430\/945*14\/(-24).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(15\/4)*z*z**(5\/2)\/z)**40 assuming z is positive.\nAnswer: z**290","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0997 + 0.09968517. What is t rounded to seven dps?\nAnswer: -0.0000148","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 + 35. Which is the smallest value? (a) -0.3 (b) -3\/13 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u. Let y(m) = 2282*m**2 + 3*m - 8. Give y(j(f)).\nAnswer: 20538*f**2 - 9*f - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 127 (b) -0.2 (c) 10 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47149 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -99*a**2*h*v + 2*a**2*v**2 + 6*a*h*v**2 - a*v - 2*h + 2*v**2 wrt a.\nAnswer: -198*h*v + 4*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*d - 37*d + 29*d + 10*d + 7 - 7 + (7*d - 3*d - 2*d)*(-2 + 2 + 1) in the form l + v*d and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1330540 (base 6) to base 13\nAnswer: 27942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((11*32\/2288)\/3)\/(13\/546)?\nAnswer: 28\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 + 121 - (-7 - (17 - 1)).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - 5\/(-2))\/(3\/6). Let w = 5 + -10. Sort u, -3, w.\nAnswer: w, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -16 - 70. Let x = d - 71. Let f = -25 - x. Solve -4*n = -f*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 5*y + 7. Let h be m(-4). Let p = 7365 - -8401. Suppose -h*d - 7149 = -2*f + p, 0 = -f - 4*d + 11430. What is f rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -26*n**3 - 15076*n**2 - 2184280*n + 336400 = 0.\nAnswer: -290, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 5*p**2 + 437*p - 2959. Let n be i(7). Determine v so that -24\/5*v**n - 12\/5*v - 3\/5*v**4 + 0 - 3*v**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 4*s + 3. Let k be c(5). Let t be -6*((k - 8) + (-70)\/6). What is t rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-176)\/(-132)*(-1)\/2*-1611?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -5, 0.3, -0.3, -6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 2 - 12) + (-445 - -498).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 4*v - 6. Let y(a) = -a**2 - 9*a - 13. Let n(i) = -9*f(i) + 4*y(i). What is the derivative of n(z) wrt z?\nAnswer: 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*h - 10 = 0. Let s(g) = -g**2 + 2*g - 3. Let v be s(h). What is the units digit of (-1)\/v - (-5)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 480*g - 902. Determine d(2).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*x, -3 + 1 = 3*z + 2*x. Find a such that -1\/5*a**4 + z + 1\/5*a**2 + 1\/5*a**3 - 1\/5*a = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 101111000111000111011?\nAnswer: 101111000111001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 2) to base 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7281*c**2 + 134*c + 229 wrt c?\nAnswer: -14562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.01, -4, 1, 5, -5, -0.096, -23?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -117370963922\/2865 - -40967176. Let s = u - 63\/764. What is the common denominator of s and 143\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 10*w**2 + 6*w + 20. Calculate p(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 12. Let d(w) = -w**3 + 6*w**2 + w - 4. Determine d(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -x**6\/6 - 23*x**5\/5 - 43*x**4\/4 + 1351*x**3\/3 + 1372*x**2 + 1372*x + 2274. Find n, given that t(n) = 0.\nAnswer: -14, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18624, -18713, -18804, -18897?\n\"Answer: -v**2 - 86*v - 18537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*i**3 + 1344*i**2 + 12129*i + 29406.\nAnswer: 3*(i + 13)**2*(15*i + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 140 or -0.031?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 104*b**4*c + 2*b**4 + 9*c - 4 wrt b?\nAnswer: 416*b**3*c + 8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11240687 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 7. Suppose -4*i = 3*u - 12 - 7, 4*u - s = 0. What are the prime factors of (-12)\/(-9)*6\/i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 24, 34, 46?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/25755 and -62\/13635?\nAnswer: 231795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 134171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*r = -8*r + 293, -2*r = -q + 323. Suppose 2*j = -3*k + 661, -q = -3*j + 2*j - 5*k. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5324 plus 1?\nAnswer: 1.5324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 940382798?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19\/6 in 0.13, -3\/4, -0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 5*z - 7. What is v(6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 1\/2240 (b) -0.014 (c) 2\/11 (d) -0.5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67244 = 26*w - 82438. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -0*b - 4*b. Calculate the remainder when ((-36 - -13) + 9)*-1 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3738286 is divided by 228?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 11:24 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -41*u + 6. Let h be y(-5). Suppose 3*l = -4*j + 118, 2*j + 3*j + l = 142. Suppose 0 = 4*i + 3*f - h, -72 = -i + f - j. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296963781.\nAnswer: 3, 73, 1355999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0548 - -0.0452. Let g = 77 + -109. Let b = -19 - g. Put m, 1, b in decreasing order.\nAnswer: b, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -0.0676.\nAnswer: 0.2704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-77)\/(-22)*-5*12*(-4)\/1092?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 942 or 943?\nAnswer: 942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-four fifths of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o + 4038. Let g(b) = -17*b. What is f(g(j))?\nAnswer: 68*j + 4038","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 223448394?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*l + 53*l - l)*(-1 - 5 - 2) to the form c*l + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 28140*j + 84436. Calculate o(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -20*54\/(-315) - (-3)\/(-7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38262144 divided by 6?\nAnswer: -6377024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.078 - -3.178. Let t = 4.1 - d. Is 0.1 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.067335 micrometers to centimeters.\nAnswer: 0.0004067335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*t*u + a*t - 4*a*u + 2*a + 2*t*u + 2*t + 610471*u + 10575148 with respect to u.\nAnswer: -a*t - 4*a + 2*t + 610471","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*a - 21*a**2 - 25*a as v + l*a + k*a**2 and give k.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165078.\nAnswer: 2, 3, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence knl when three letters picked without replacement from lcnknc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, t: 4, a: 4}. What is prob of picking 2 l?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 1813899248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/4)\/(l\/(l\/(l**(-10)\/l))))\/(l*l*l*l\/(l*(l\/(l**(-4\/7)*l*l)*l*l)\/l*l))**(-9))**(-34) assuming l is positive.\nAnswer: l**(-11237\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 2 - 8 - ((-47 - -69) + -31). Let y(j) = j**2 - j + 1. Let b be y(5). Solve -3*f + b = -g*l, 0*l + 15 = -5*l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 10 = 2*v. Solve v*u - 10 = -4*z, -25 = -3*z + 3*u - u for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ja when two letters picked without replacement from {z: 9, a: 3, j: 7}.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 + 40*s + 16. Let r be h(-18). Let q = r + 58. Is 18 a factor of q\/(-7) + (-18370)\/(-154)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**6\/2700 - g**5\/45 - 5*g**4\/9 + 31*g**3\/3 - 34. Let x(a) be the third derivative of f(a). Factor x(w).\nAnswer: -2*(w + 10)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(12) - (sqrt(12) + sqrt(36)\/sqrt(3))))**2 - (sqrt(44)\/sqrt(36))**2.\nAnswer: 88\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2698 and 140410?\nAnswer: 9969110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + c + 1. Suppose 0 = -3*h - h. Let f be m(h). Suppose -5*l + 3*d + 30 = 0, 5*l = -5*d + 29 + f. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1466000 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -42\/17 and 6\/11.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 6 - 12. Let p = 21 - 19. Suppose 4*h = p*g + 16, h - 11 = -3*g - 0. What is the smallest common multiple of o and h?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2848 = 6179*n + 305619 for n.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = m - 2*k, 5*k + 36 - 13 = 2*m. Is m greater than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 591.1176 months to millennia.\nAnswer: 0.0492598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4132310 divided by 826462.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67248 by 12.\nAnswer: 5604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9 - -1.9. Let b = -699 + 694. What is the second smallest value in -0.2, q, b, 1\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 3511?\nAnswer: 3514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*n = -78. Let u be (-13)\/(-2) - 39\/n. Is 1 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -501734, -501536, -501338, -501140, -500942, -500744?\nAnswer: -500546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 17*f - 41. Let z be y(-14). Which is smaller: 4\/43 or z?\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80307, -163423, -246539, -329655, -412771, -495887?\nAnswer: -579003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.415444 rounded to 2 decimal places?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 5 = -k, 3*h + h - 25 = 5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/(-7))\/(718\/2513)*12\/(-9)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -17. Suppose 14 - r = 2*y. Suppose -2*k - 6 = -4*g, -5*k + 3*g + 4 + y = 0. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/56)\/(1\/7). Let u(x) = 5 - 2 + 10*x + y*x - 5*x. What is the tens digit of u(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 107*t**3 + 161*t**3 - 40*t**3 + (0*t**2 - 5*t**2 + 3*t**2)*(4*t + 4*t - 5*t).\nAnswer: 222*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-2*(sqrt(700) + -1))**2 + sqrt(700)) - (0 + ((sqrt(700) - (sqrt(700)*2 + 1)) + sqrt(700))**2).\nAnswer: -16825 + 420*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 745024189.\nAnswer: 7, 13, 157, 52147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*1*-2)\/(sqrt(28)\/sqrt(4)*1).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.001 rounded to 1 decimal place?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 43\/9 + (-4)\/(-18). Which is bigger: t or 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2222121 + -12?\nAnswer: 2222102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -1)*(-3)\/6. Sort p, 5, -1 in descending order.\nAnswer: 5, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 2*x**2 - 2*x + 4. Let w(m) = -2 + 15 - 101*m + 7*m**2 + 94*m + 2*m**3. Determine 7*c(u) - 2*w(u).\nAnswer: 3*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -18 + 7 + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(13)*1 - (-2 + sqrt(208)))**2.\nAnswer: -4*sqrt(13) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -50578120?\nAnswer: -50578118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 o when four letters picked without replacement from {r: 3, o: 4, a: 6, f: 1}.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2695026939?\nAnswer: 3, 11, 2707, 30169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*b - 38031. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*9\/(-15) - (-3)\/48*-38?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/80959 and 16\/19?\nAnswer: 80959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -10*h + 0*h**3 - 14 + 3*h**2 - 11*h**2 - h**3. Let s be k(-7). Suppose -12*m + s = -11*m. What is the greatest common factor of m and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62901 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1373 - 2693 = -8*d. Let v = 166 - d. What is the nearest to v in 5\/4, -4, 5?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 0*v**3 - 1\/20*v**5 + 0*v + 0 + 0*v**4 - 28*v**2. Let h(d) = -d**2 + 1. What is a(h(r))?\nAnswer: -3*r**4 + 6*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbbbiii.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2353, 2345, 2335, 2323?\n\"Answer: -x**2 - 5*x + 2359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 29171, 58822, 88955, 119570?\n\"Answer: 241*d**2 + 28928*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -251, -480, -833, -1322, -1959, -2756, -3725?\nAnswer: -4878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.819337 litres?\nAnswer: 8819.337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55125881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 436 by 2.\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 0 - 2 + 4. Let s(p) = 1 - 31*p**2 + 16*p**2 + 14*p**2. Give -g(x) + 2*s(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**2 + 6 - 21*g**2 + 5*g**3 + 16*g**2 to n*g + y*g**2 + u + x*g**3 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15165.\nAnswer: 3, 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 0)*(-1 - 3 + 2 - 2 + 5 - 4 + (0 + 2 + 0)*(-1 + 2 - 2) - 1 + 1 - 1)*(-57*x + 29*x + 21*x - 7) to y + n*x and give y.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 0*f**2 + 2*f**3 - 2 + f**2 - f**3. Let t = 2445 + -1319. Let v = -1128 + t. What is n(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**2\/9 - 40*b\/3 - 742\/9 = 0. What is b?\nAnswer: -53, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 77761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 146\/3, 0, 4, 5 in descending order.\nAnswer: 146\/3, 5, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*o - o**4 + 4 + 5*o + 5*o to the form r*o**4 + s*o**3 + j*o + u + k*o**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 96105 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**4\/9 + 1514*i**3\/9 - 5002*i**2\/3 + 5486*i - 5976 = 0. What is i?\nAnswer: 3, 4, 747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6\/11, -0.6, 31, -2\/3, -0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/64 and 69\/32.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 2. Suppose -z*c + 3*q = q - 5, -2*c - 10 = -4*q. Let h be (2\/(-22))\/(c\/(-20)). Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -653 by -304.\nAnswer: 653\/304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - r + 702. Calculate the remainder when r is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 55*x - 210 + 430 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u + 9. Let r be a(-9). Suppose -5*g = -210 + r. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*b*n**2*u**3 + 3*b*n*q - 2*b + 13*n**2*q + 14360*n**2 + 18806*n*q*u**3 wrt q.\nAnswer: 3*b*n + 13*n**2 + 18806*n*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1800183856?\nAnswer: 2, 17, 6618323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.2, -1, 4, -383 in increasing order.\nAnswer: -383, -1, -0.2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 h, and 1 i when three letters picked without replacement from bbbbibuhboishbb?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vmvwwpuppwpuwwemvwp. Give prob of sequence mwm.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111627.\nAnswer: 3, 79, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 + 145*t**3 + 5469*t**2 + 15407*t + 10082.\nAnswer: (t + 1)*(t + 2)*(t + 71)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 g, and 1 v when four letters picked without replacement from vvrrrhvvgihzihiiigiv?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -117 in -8\/5, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1.1. Let g = -0.4 - -0.8. Let n = g - 0.2. What is the nearest to f in n, 0.5, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 877 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 109 - 108.866. Let f = 3.134 - v. Put -15\/2, -1\/4, f in ascending order.\nAnswer: -15\/2, -1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12401030 (base 5) to base 11\nAnswer: 83743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 0.1 (b) 1763 (c) -2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z*z\/((((z\/z**(-19\/5))\/z)\/z)\/z))*z*z\/(z*z*z\/(((z\/((z*((z\/(z*z*z\/z**(1\/7))*z)\/z)\/z*z)\/z*z*z*z))\/z)\/z)*z) assuming z is positive.\nAnswer: z**(-152\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 9, i: 1, a: 5, n: 1, d: 1, s: 1}. What is prob of sequence lndl?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*x**2 - x**2 + 97*x**2.\nAnswer: 123*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/14 and 65\/1796?\nAnswer: 12572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9483.632mm?\nAnswer: 948.3632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -649 - -656. Suppose 3*a - 84 = -3*a. What is the greatest common divisor of a and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 811036133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 11*a**2 + 13*a - 12. Let b be c(12). Let n(d) = -d. Let j be n(4). Sort b, 5, j in descending order.\nAnswer: 5, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-374)*0*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -q**8\/840 + q**7\/210 - q**6\/180 - 2*q**3\/3 - 4. Let f(d) be the third derivative of g(d). Suppose f(z) = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1065*t + 1065*t - 139*t**2.\nAnswer: -139*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 19. Let v(n) = -11*n**2 - 1. What is v(y(p))?\nAnswer: -11*p**4 + 418*p**2 - 3972","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(2) + 4 + (sqrt(48)\/sqrt(3))\/sqrt(8) - (1 + (sqrt(162) - (0 + sqrt(162))*-3)).\nAnswer: -32*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/(s\/((s**(-16)*s*s)\/s*s)))))\/(s\/(s\/(s\/(s\/(s\/(s*s\/(s\/(s**(-2\/29)\/s))))*s)))*s)*s*s**(2\/5)*s*s**9*s assuming s is positive.\nAnswer: s**(-387\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 44610391 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q + 5*q**2)*(9 - 3 - 5)*(q**2 - q**2 - 2*q**2).\nAnswer: -10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -123066*l + 123066*l + 848*l**2 to the form w*l**2 + p*l + g and give w.\nAnswer: 848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-4)*(-420)\/(-1134). Sort 3, d, -0.1, 2.\nAnswer: d, -0.1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1323) + -2 + 3.\nAnswer: 1 + 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/8572 and 39\/4126.\nAnswer: 17684036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -19*g + 21. Let m be i(1). Put -6, 1, -3, m in ascending order.\nAnswer: -6, -3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 3*y + 38 - 66, g - 2*y = 7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*p + 67 - 2, 3*p = -2*s + 26. What is the remainder when 91\/4 - (-1)\/4 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-68)\/42*(-4 - (-2839)\/4). Let k = x + 1142. What is the common denominator of k and -89\/58?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 7*m + 500. What is the units digit of t(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-28)*(q\/q**16)\/q*q**(-1\/2)*q*q**(35\/6) assuming q is positive.\nAnswer: q**(58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**5\/240 - 29*q**4\/24 + 19*q**3\/2 - 522*q**2 + q. Factor p(t).\nAnswer: (t - 114)*(t - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nppnqnnnpppppppnp. Give prob of picking 1 n, 1 q, and 1 p.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/((-2)\/(-1)))\/(((-112)\/168)\/(-2))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 0 - (-36)\/9)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -102177*y. Let s(h) = h. Give s(x(m)).\nAnswer: -102177*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9919 and 11743004?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374*c = 6546 - 30108 for c.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 33*j + 3535. Let r be n(-107). Suppose 4 = -0*b + 2*b. Solve -29 = -r*d - 5*x, -b*d = -2*x - 3*x + 23 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -5. Suppose -t - 2*w + 10 = 0, -2*t - 2*t + 2*w + 10 = 0. What is c in c**t - 4*c**x + 2*c**5 - 9*c**4 - 4*c**5 - 14*c**3 + 4*c**3 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -13*k - 2. Let c(w) = 256*w + 133*w + 106*w + 77. Determine -2*c(o) - 77*i(o).\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 2. Let s be h(-2). Differentiate 4*y + y - s*y - 1 wrt y.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -63*m. Let o(a) = 18*a**2. Calculate k(o(l)).\nAnswer: -1134*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-2) - (3 + -5). Let h(j) = j + j - l*j + 4. List the prime factors of h(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + (-1120)\/(-40) + -2 + (-6 - -2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*x + 323, 0 = -4*x - 0*x + 5*o - 271. Let m = 92 + x. Calculate the greatest common factor of m and 252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z + 6. Let q be n(-3). Suppose -2*p = -11*p + q. Suppose 0 = -3*v + 9, 2*v = p*w + 3*v - 5. Are w and 3\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 8:27 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4365 and 15.\nAnswer: 4365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2518549380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(68)*-1 + sqrt(68) + -5*(sqrt(68) - (sqrt(68) - sqrt(68)*-2)) + sqrt(68))*6)\/((sqrt(16)*-5)\/sqrt(4) - sqrt(36)\/sqrt(9)*-2).\nAnswer: -18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-75) - (-1)\/(-15). Let r be (2 - 3)\/(-3) - (-6)\/9. Sort 4, r, o, 0.1 in decreasing order.\nAnswer: 4, r, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 27*t**3 - 1. Let x(v) = -13*v - 1. Let c be x(-11). Suppose -7*r = 135 - c. What is l(r)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41*j**2 - 28*j**3 - 12*j**3 - 51*j**2 - 33*j**2 + 8*j**3 - 2*j**4 wrt j?\nAnswer: -48*j - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 739766371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/(10\/60).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 562020 and 623067?\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s**2 - 5*s - 5. Let x(f) = -6*f**2 + 6*f + 4. Suppose 2*d = 3*y - 3, -4*d - 4 = 4*y - 28. Determine d*x(r) + 4*n(r).\nAnswer: 2*r**2 - 2*r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5\/5 - 48*x**4\/5 - 27*x**3.\nAnswer: -x**3*(x + 3)*(x + 45)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and -6093137.\nAnswer: -121862.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0711, 5, -0.03 in decreasing order.\nAnswer: 5, -0.03, -0.0711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18391 + 18396. Let a(s) = s**3 - 5*s**2 + 6*s - 9. Calculate a(k).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375 - 864 = -7*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-10)\/20 + (1134\/4)\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 s when two letters picked without replacement from {m: 2, n: 4, s: 1, i: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 32. Let a be 4 + t*2\/(-4). Let l(u) = u - 3. Give l(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0113 rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3*m + 347 = 2*t, 3*m - 213 = -3*t. What is the greatest common factor of 67 and t?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**10\/(s**(2\/25)\/s))\/(s**0)**(-25) assuming s is positive.\nAnswer: s**(273\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69357793 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 5416 (c) 2\/5 (d) 56.89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71787 is divided by 2172?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 532\/8 + (-2)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -11*m + 1. Let j(r) = -5*r. Suppose 0 = -4*a - 9 - 19. Let o(y) = a*j(y) + 3*t(y). Calculate o(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -213503671, -213503669, -213503667?\nAnswer: -213503665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 70\/(-8) + -3 - 3\/12. Let q be (-1 - 52\/w)*(-24)\/(-10). Let n(h) = 8*h + 134*h**2 + q - 133*h**2 + 2. Give n(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 24 = 3*n - 4*f, 2*n + 3*f = 2. Sort 10, n, 50 in decreasing order.\nAnswer: 50, 10, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11594*-49.7\nAnswer: -576221.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 2*j = -14, 1 - 14 = -2*s + 5*j for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + sqrt(70)*-2)*2 - (sqrt(70) + sqrt(70)*1 + sqrt(70))*6)\/(sqrt(120)\/(sqrt(12) + 3*sqrt(12)) + sqrt(10) - sqrt(490)*-1).\nAnswer: -80*sqrt(7)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 11953851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4670, -4665, -4660, -4655, -4650, -4645?\nAnswer: -4640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 267*q**2 + 336.\nAnswer: 534*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1911, 7450, 16671, 29574, 46159, 66426, 90375?\n\"Answer: 1841*a**2 + 16*a + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1520 divided by 8.\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20279551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4356*q**2 + 4475*q**2 - 17844*q**2 + 4409*q**2 + 4393*q**2.\nAnswer: -211*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 - -3 - (-4)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-186)\/(-45) + (-10)\/75. Suppose -i - 3 = -x*q, 0 = q + 3*i + 2*i - 27. Suppose t + 15 = q*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 288336 and 528616?\nAnswer: 3171696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*i - 13940 = -2*q, 5*q + 4*i - 34794 = 0. Let x = 27615 - q. Is 29 a factor of x\/209 + (-2)\/(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/5)\/(k*k**18)*k\/k**(-32)*k**7 assuming k is positive.\nAnswer: k**(106\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r**4\/9 + 44*r**3\/9 - 10*r**2\/3 = 0.\nAnswer: -5, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s. Let l(y) = y. Suppose -2*u - i = -3*u + 27, 5*i - 185 = -5*u. Let d(k) = -u - 3*k - 38 + 70. Let q(m) = -2*d(m) - 7*l(m). Determine r(q(o)).\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + (33 - (2 - 4)). Suppose -7 = r - d. Calculate the greatest common divisor of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152591978 to the power of 1\/2, to the nearest integer?\nAnswer: 12353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 122. Calculate c(131).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 4)*(1247*g - 1 + 38 - 1246*g) to m*g + p and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1357101 is divided by 266?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6*a + 22. Let v be p(-4). What is the third biggest value in v, -0.4, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 + 7*j + 7. Let o(n) = -4*n**2 + 13*n + 13. Suppose -5*s - 63 = -8. Calculate s*t(k) + 6*o(k).\nAnswer: -2*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g**3 + 16*g**3 - 6*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 2518704 = 650294. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 + 0*g**3 + 6*g**3.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*t = -3*v + 13, -5*t = v + 19. Let l = -14 - -19. Suppose -2 - 8 = -l*n. What is the smallest common multiple of n and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 383 - 384. Let j(z) = 3253*z**2 + 4*z + 2. Is j(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -14*o**2 + 1 + 13*o**2 - 2 + o. Give w(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5505187.23 rounded to the nearest 1000?\nAnswer: -5505000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16792122*p**5 + 2203223*p - 1?\nAnswer: -335842440*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - u + u**2)*(4*u - 4*u + u**3) - u**5 + 3*u - 3*u + u**5 - 3*u**5 + 4*u**5 + 2*u**5 - 2*u**5 - 2*u**5 + (-u - 4 + 4)*(-u**4 + 3*u**4 + 0*u**4).\nAnswer: -2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*l - 29*l + 14*l + 5*l.\nAnswer: -56*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41 - -40.83. Let y = c + -19.83. Let w = y + 19.55. Round w to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 730614?\nAnswer: 2, 3, 263, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + -518050330265?\nAnswer: -518050330264.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 23, 56, 109, 182, 275, 388?\n\"Answer: 10*z**2 + 3*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, 2\/27, 1\/4, -3\/11, 24, -385\/6?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**2 - 4*p + 5. Calculate u(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -ac973?\nAnswer: -ac972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 7*v - 7. Let n be s(6). Let p be (n - 0)*0\/5. Suppose -k + p*k + 57 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2*w = -32, -13*p - 125 + 109 = w for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from mfdkomfmdd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10097897 and 32131?\nAnswer: 111076867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 111\/(-14) + 12192\/3556?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -428*f + f**3 + 140*f - 146*f + 2.\nAnswer: f**3 - 434*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -0.9. Let y = 3.9542 + -0.0442. Let n = -0.09 - y. What is the third biggest value in n, -0.4, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 3, 0.4, -18?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 222 and 14184?\nAnswer: 524808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 - -46. Let j be (d - 3\/2)\/(-2). Let c = -142 + 2132\/15. What is the second biggest value in -0.3, c, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 207, 660, 1421, 2490, 3867, 5552, 7545?\n\"Answer: 154*s**2 - 9*s + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3 = 12. Calculate the common denominator of -36\/7 and 29\/(-1)*-1*1\/d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 2:14 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 6, 6\/11, 11.58, -4\/3, -5?\nAnswer: 11.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*p - 4. Let r = 41 - 35. What is the highest common divisor of r and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57 - -106. Suppose b - 83 = -4*b + 2*d, 0 = -3*b + d + s. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r - 1. Let o(k) = -315. Let i(d) = -j(d) - o(d). Let n be i(0). Suppose n - 46 = 6*h. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 2*h**6\/105 - 443*h**5\/70 + 23971*h**4\/42 + 8864*h**3\/3 + 5376*h**2 + 2359*h. Solve t(r) = 0.\nAnswer: -3\/2, -1, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2. Let a be 40\/(-2)*16\/(-20). Let z(g) be the first derivative of 2*g**2 + 20 + g**2 - 2*g**2 - a. Calculate k(z(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 1. Let v(r) = -21*r - 5 - 8 + 6 + 18*r. Give -6*i(y) - v(y).\nAnswer: 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 34026, 68049, 102072, 136095?\n\"Answer: 34023*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2) + (-125 + 151 - 22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/190 and 103\/1560?\nAnswer: 29640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -264*k**3 - 196*k + 515*k**3 - 253*k**3 + 1 + (-k**2 + 5*k**2 + 3*k**2)*(4 + 2*k - 4) + k**3 - 4*k**3 + 2*k**3 as i*k**2 + v*k**3 + h + c*k and give c.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*p + 3*r - 1870, -p + 2*r = -472. Suppose -41*m - p = -44*m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.9 and 1.41.\nAnswer: 2.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d + 10. Let j be c(10). Let y be 4\/10 - (-42)\/j. What is the tens digit of (-6 - y)\/(1\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4184*r**2 - 4184*r**2 + 5*r**3.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4 + 1358*b**3 + 231198*b**2 + 229842*b.\nAnswer: 2*b*(b + 1)*(b + 339)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 21*j**5 + 69*j**4 - 3783*j**3 - 27609*j**2 - 30258*j - 6480 = 0.\nAnswer: -9, -8, -1, -2\/7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 176?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + p + 2 = 1, 0 = -3*y - p - 1. Let g = -0.1 + 0.3. Which is the nearest to y? (a) 2 (b) -3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4235)*-3)\/(sqrt(567) + -3*sqrt(567)).\nAnswer: 11*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -630213, -1260361, -1890449, -2520477, -3150445?\n\"Answer: 30*k**2 - 630238*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b\/(b\/(b*b\/(b\/b**(2\/17)))))))\/b**(13\/5))**(-8) assuming b is positive.\nAnswer: b**(1008\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1152 divided by -2?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/7919 + 7905\/55433. Which is the second biggest value? (a) 4 (b) -0.3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/450)\/(1\/(-115)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 944 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2120584 divided by -15256?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1452 by 44.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -124, -11, -5 in increasing order.\nAnswer: -124, -11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491222?\nAnswer: 2, 79, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 407, -1, -2\/3, -584?\nAnswer: -584","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, i: 3, n: 2, w: 1}. What is prob of picking 1 x and 1 n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**6\/24 + 5*c**5\/12 + 5*c**4\/3 + 10*c**3\/3 - 45*c**2\/2 + 4*c - 1. Let q(o) be the first derivative of h(o). Factor q(i).\nAnswer: 5*(i + 1)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 648 and 4760?\nAnswer: 385560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -183 - -263. What is the remainder when q is divided by (2 + -122)\/(-5) - 3?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -271835, -271818, -271801, -271784, -271767, -271750?\nAnswer: -271733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 11:42 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 4:44 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -3*q**4\/4 + 5*q**3 - 9*q**2\/2 + 12*q. What is m in u(m) = 0?\nAnswer: 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**3 + 4*p**3 - 3*p**3)*(124 - 124 - 45*p)*(-p + p - 2*p).\nAnswer: -360*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-36))\/(39\/117)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2007 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 4:56 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 12 = -0*c. Suppose -29*v + 34*v - 2*k - 610 = 0, 3*k - 244 = -c*v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000475464 rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1\/5*w**3 - 9\/5*w**2 + 0*w = 0. Calculate w.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**5 - 40*t**4 - 116*t**3 - 128*t**2 - 48*t = 0 for t.\nAnswer: -6, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111 - -100100101101011?\nAnswer: 100100110000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/(u\/(u**(14\/9)*u))*u*u)\/u)\/u**25)\/(u**(-23)*u**(-4)\/u*u) assuming u is positive.\nAnswer: u**(59\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77248 and 155206.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 24 = -2*r - 18, 2*r + 36 = -2*x. Let h be ((-18)\/r)\/(8\/90). Let l = 13 - h. Is l <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/9*(-4)\/8. Let j = 21762 + -21879. Which is greater: j or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -451, -783, -1101, -1399, -1671, -1911?\nAnswer: -2113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4346955563.\nAnswer: 31, 1669, 84017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5746*j = -1902*j + 65348 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 10 - 26. Let a = x - 143\/4. Let f be 3\/(6\/(-4)) + 12. Put a, f, 2 in increasing order.\nAnswer: a, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(52)\/sqrt(36) + -1*sqrt(325) + 2.\nAnswer: -14*sqrt(13)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*v - 55*v + 10*v**2 - 19*v**2 + 1.\nAnswer: -9*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + s**3 - 2*s**2)*(-15 + 15 + 11) + (5 + 2 - 5)*(5*s**3 - 2*s**3 - 5*s**3).\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*s**5 + 24*s**5 + 28*s**5 + 55 - 18 - 38 - 9*s**5 + (-2*s**4 + s - s)*(-1 - 2*s + 1).\nAnswer: 32*s**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 483 and 598?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + q + 162 = 0, 4*j = 2*q + 109 + 51. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 - 15 + 17)*(4*w - 4*w - w) + 2 - 2 - 3*w to t + y*w and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/2142 and 63\/374.\nAnswer: 23562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g + g - 1 - 3*g - 2 + 2 - g + 2*g - 6*g + 2*g + (3*g - 4*g - g)*(-4 + 6 + 0) + 0 + g + 0 as b*g + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.91193ns to milliseconds.\nAnswer: 0.00007891193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b1b681 (base 15) in base 10?\nAnswer: 8442346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 3*i - 3 = 6*w, w + 3*i + 3 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - -2) + 22 - 18?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307*q**2 - 587*q**2 - 3*q + 4 + 310*q**2.\nAnswer: 30*q**2 - 3*q + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + t - 17 = -21, -4*t - 9 = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u + 3. Let o be k(2). Suppose -o*b + 4*b + 33 = 0. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1865232 + -1?\nAnswer: -1865233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*a - 2 = 0, -4*w - a + 41 = 5. Let z be (1 - 5)*(-5)\/w. Sort z, -9, 1, -5 in decreasing order.\nAnswer: z, 1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13 - 789595.\nAnswer: -789594.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1692d (base 14) to base 8\nAnswer: -156555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 38 + 18 - 19 - 103 + k.\nAnswer: 2*k - 142","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -69 + -13 + -1 + -13 + 9?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -6. Suppose 0*j = -3*j + y. What is the second derivative of 5*o**3 - 2*o**j - o**3 + o**3 + 2*o wrt o?\nAnswer: 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xqf when three letters picked without replacement from feeqjeejx?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 190\/113 + -8396\/4859. Suppose 3*f - 5*c + 37 = -f, 5*c - 25 = 0. Let x be f\/6 + 1\/2. Which is smaller: o or x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, h: 1, g: 1, b: 2, l: 1, e: 2}. Give prob of sequence gh.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 8:46 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5 = -4*x + 5, 5*n - 3*x = 12. Suppose -n*k = -12 - 0. Suppose 0 = -2*a + 4*a - k. Solve -a*j - 4*g + 12 = 0, -5*g = 4*j - 0*g - 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18 + 47455032 + -14)\/(3\/3). What is s rounded to the nearest 1000000?\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 4*l - 6. Let z be x(0). Let s(b) = 8*b - 6. Let a(q) = -7*q + 5. Calculate z*a(j) - 5*s(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -974, 1\/4, 3.3, -4, -32 in descending order.\nAnswer: 3.3, 3\/4, 1\/4, -4, -32, -974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -233, -468, -703?\n\"Answer: -235*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25826327 or -25826331?\nAnswer: -25826327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 4:30 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 21*w**2 - 3*w + 2. Let v be m(1). Calculate the common denominator of 0 - (-2)\/(v\/(-107)) and 23\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.039, 0.11, -2 in decreasing order.\nAnswer: 0.11, 0.039, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -25*a**4\/12 - 301*a**3\/6 + 89*a. What is the second derivative of r(z) wrt z?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n - 12 = 2. Let c = -3 - -5. Let h = -3 - -1. Sort h, n, c in decreasing order.\nAnswer: c, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 7 - 7 - (1 - 7). Sort 1, -26, s, -5 in descending order.\nAnswer: s, 1, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 199.107 + -191. Let q = d - -0.193. Let o = q + -8.2999967. Round o to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20.926 + -20.7. Let l = -7.774 - j. Let w = -1 - -0.7. Which is the third biggest value? (a) 1 (b) w (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**3 - 2*l**4 + 0*l**3)*(1 - l - 1) + (-6*l - 39*l + 7*l)*(4*l**4 + 0*l**4 - 3*l**4) + 3*l**5 - 5*l**5 + 0*l**5.\nAnswer: -38*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 46092 = -3*x, 11*x + 3*y = 15*x - 61456. What are the prime factors of x?\nAnswer: 2, 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -1, 0.11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -638*3\/(-3*2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 14 = 5*y, 97*y + 13 = 3*w + 101*y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -10*k. Let a(r) = -r**2 + 2 - 2 + 8*r - 3. Let z be a(7). Let p(o) = 2*o - z*o + 0*o. What is i(p(x))?\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2167 + -869. List the prime factors of b.\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -9. Sort -2, d, -1.\nAnswer: d, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (700\/(-150))\/(19\/((-1425)\/10))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, -46, 212, -1\/7?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 + 34.67. Let l = t + -0.67. Which is the fourth smallest value? (a) -1 (b) l (c) -2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5625 plus 166.0556?\nAnswer: -5458.9444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -2*f**3\/9 - f**2\/2 - f\/3 + 5. Find t such that i(t) = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/3)\/(-4))\/((-14)\/21).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356 is divided by 95?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2*m*y + 123*b**2 - 515*b*m*y**2 + 20*y**2 with respect to m.\nAnswer: -b**2*y - 515*b*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 15 = -3*a, 3*a + 1 = 2*a. Suppose -x - l = -3. What is the smallest common multiple of 9 - 3\/(2 + x) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1091046 divided by 363682?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**2 + 807051*r - 1614114 = 0.\nAnswer: -269019, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*o + 13*o + 72 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9\/218 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**3 - 3*p + 3*p)*(-614*p + 408*p - 363*p - 740*p).\nAnswer: -5236*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/9 - (-44)\/126. Let c(s) = -s**2 + 3*s + 4. Let g be c(3). Let z = -14 - -17. What is the nearest to z in g, 0, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.7 or -505970?\nAnswer: -505970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 12*o + 385 = 0. Let s = -73 - o. What is the highest common factor of 32 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 6*n + 35. Suppose 5*i + 2*j + j = n, 0 = 4*i - 2*j - 10. Suppose -i*q + 30 = -128. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**3\/7 + 94632*d**2\/7 - 135252*d - 1041392\/7 = 0. Calculate d.\nAnswer: -23668, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8*(-1)\/(-12)*-3. Suppose -14 = f + n, -6*f + 2*n = -b*f + 62. Let m = f + 21. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*c - 10. Let m(u) = u**3 - 1 - 7*u**2 + 6*u**2 - u - c. Let j be m(0). Let a(g) = 2*g - 3. Determine a(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (6 + -2 - 3) - -6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(2)*5)\/(-6*2*sqrt(4)).\nAnswer: -5*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -98.672879 + -0.234121. Let x = -0.279 - -99.279. Let f = q + x. Round f to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c - 2 + 3*c + c)*(13 - 16 + 124) in the form y + m*c and give m.\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4696561, -9393126, -14089691, -18786256, -23482821?\n\"Answer: -4696565*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -1379*u**3 + 6*u**2 + 9*u + 4. Let r be i(-1). Let f = 22051\/16 - r. Calculate the common denominator of -45\/64 and f.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, -5, 2, -20 in descending order.\nAnswer: 64, 2, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-3) - ((-10114)\/(-624) + 37\/296)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -997213 to the nearest 1000.\nAnswer: -997000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -129.13 to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48 - 8) + -20 + -2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 212625923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/4 and -137\/70.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.989511 millilitres in litres?\nAnswer: 0.001989511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - k)*(-k + 3*k - k)*(7 + 2 - 6).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 8:47 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 4 - (-6 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1526 + 3040 - 1516 + 25*f.\nAnswer: 25*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -6*l**2 + 12*l - 1318. Suppose -5*b = 18 - 3. Calculate the remainder when 143 is divided by s(b).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 932 is divided by 104.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*a - 107 + 59 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/44*7 + 3. Which is the third biggest value? (a) 1 (b) u (c) -3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, i: 6, z: 1, n: 4, s: 3}. Give prob of picking 1 s and 1 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -270.\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 684998 - -3?\nAnswer: 685001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 6*t. Let b(r) be the first derivative of -10 + 1\/20*r**5 - r**2 + 0*r + 0*r**3 + 0*r**4. Let f(k) be the second derivative of b(k). Give x(f(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5969551429.\nAnswer: 29, 269, 765229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3468*c**3*d**2 + 34*c**3*d*f**2 + 12*c**3*p + 620*c**2*d**2*f**2 - 69*c**2*d*f**2*p + 8*c**2 - 2*c*d*f**2*p wrt c.\nAnswer: 20808*d**2 + 204*d*f**2 + 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3 - (-36)\/8)*154\/3 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.05 - 11.05. Let w = 0.1 + 0.1. Which is the third biggest value? (a) j (b) 2\/17 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 26*l - 25*l - 20 + (-1 - 1 + 0)*(-2*l + l + 0*l) as k + y*l and give y.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.008 in 4, 3, -3, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-6)\/u*u**(2\/5))**(1\/26) assuming u is positive.\nAnswer: u**(-14\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-70)\/(-105))\/(35\/3))\/((-958)\/(-56) - 17)?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0216 to 3 dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.95 - 3. Let p = -1.05 - s. Let n(r) = -r**2 + 9*r - 17. Let g be n(5). Which is the nearest to p? (a) 1\/2 (b) -0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22183815?\nAnswer: 3, 5, 1478921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4116, -8193, -12270, -16347, -20424?\nAnswer: -24501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020192985 rounded to the nearest ten thousand?\nAnswer: -1020190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 31931 (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 19*n - 2. Determine q(8).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -149 + 147. Let g be -3 + 3 + 50\/(-115). Let h = g - -83\/138. What is the fourth smallest value in h, 0.5, y, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 12:59 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r + r)*(-2*r - 3*r - 6 + 6*r).\nAnswer: r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 39451984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1509?\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (1 - 1) + (11 + -1)\/1 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 20*y - 11. Suppose 3*b - 18 = -h, -h + 8 = -0*b + 5*b. Suppose 0 = 5*o - h - 22. Is z(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48373.16336 rounded to the nearest integer?\nAnswer: 48373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3648, 6, -2, 3, -1\/6, -1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46128 - 38380. Calculate the greatest common divisor of q and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -15*m**2 + 5*m + 38. Let n(l) = 8*l**2 - 2*l - 19. Calculate 2*f(y) + 5*n(y).\nAnswer: 10*y**2 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 36*y + 4 - 39*y)*(2 + 3 - 2).\nAnswer: -9*y + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*d = -5*w - 17, 4*w + 2*d = -14. Let s(q) be the first derivative of -q**2 - 143. Give s(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 36. Suppose 3*w - 4*w + 17 = -3*z, 3*z = -2*w + 7. Calculate the remainder when w is divided by (-3)\/h + (-50)\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -51102180, -102204365, -153306550, -204408735, -255510920?\n\"Answer: -51102185*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 4*s + 5. Let m be w(4). Let k = -1 - -1.02. What is the third biggest value in 4, m, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g - 36 = -28*g. Let c(l) = l**2 - 10*l - 1. Let d be c(g). Let q(i) = 2*i + 15. Let j be q(d). What is j rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.69769 rounded to 3 decimal places?\nAnswer: 0.698","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 3 + -1 - (3 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 267737012 to the power of 1\/3, to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yb when two letters picked without replacement from {b: 1, a: 7, i: 3, y: 3}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*((-1)\/3 - 0). Suppose p + 3*p - 72 = i. Calculate the highest common factor of 126 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 4. Suppose k*o = 9*o. Suppose -4*a = -o*a - 28. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34627.36 rounded to the nearest 1000?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 23, 0.5, 9 in descending order.\nAnswer: 23, 9, 0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 628, 1258, 1888?\nAnswer: 2518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.1 (b) 1 (c) 5 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90754 + 91783 = 147*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -41.11400001357 + 41.114. What is b rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18863875 + 19901390456\/1055. Let g = s + -11\/5. Let q = g + -219\/844. Which is greater: -2\/5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/4015674 and -56\/2454023?\nAnswer: 44172414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.6 (b) -0.3 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 2*y - 2. Let q(p) = -p**2 + 3*p - 3. Let w(h) = 6*j(h) - 4*q(h). Let u = 1 - 0. Let c(v) = -v - u + 1. Give c(w(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -5*g**3\/3 - 15. Let o(m) be the third derivative of m**5\/20 - 2*m**2. What is o(s(p))?\nAnswer: 75*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1\/6 (b) 2 (c) -30 (d) -147 (e) -12\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + 13353?\nAnswer: 13364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -18*v**2 - 83*v + 65. Determine x(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237861403?\nAnswer: 13, 53, 345227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a tonne in kilograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -40, -15035, 7 in descending order.\nAnswer: 7, 3, -40, -15035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95546072 and 656?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 + 155332*t**4 + 220*t + t**3 - 2 - 2 - 155334*t**4 to the form b*t**3 + u*t + r*t**2 + i*t**4 + j and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8930325 divided by -23.\nAnswer: -388275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -6\/6790075?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3818610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (2 - 8\/(-1)). Suppose 8*r + 36 = 12. Let h be 4\/1 + 3\/r*2. Solve -h = 3*i + l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 12, -2, 45, 0, 5.\nAnswer: -6, -2, 0, 5, 12, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ln when two letters picked without replacement from {l: 8, s: 8, n: 4}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190564169?\nAnswer: 17, 11209657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -64 + 64.1. Let g = 0.1 - -0.9. Let p = 0.8 - g. What is the closest to l in -1, p, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2 - 21*h - 46. Determine n(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q + 7 + 12 + 4*q - 6. Let f(r) = -2*r + 13. Let x(o) = 3*o - 14. Let t(n) = 7*f(n) + 6*x(n). Determine 6*s(j) - 11*t(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -96902, -98252, -99602, -100952?\n\"Answer: -1350*a - 95552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 1 - 4 = 0. Suppose 22 = 2*i + k*n, -4*n = -3*i - 2*i + 101. Suppose -12 = -w + i. What are the prime factors of w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0378753 - 2.9621097. Let s = 2.95 + 0.05. Let r = w + s. What is r rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 - -46. Suppose -5*q + x*v = 7*v - 10, -3*v = 0. Suppose -4*y + q*k + 9 = -k, 2*y = 4*k + 2. Solve c + 9 = h - c, -12 = y*c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/20904 and 69\/18668.\nAnswer: 7504536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 2 + 3 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 7*d - 111. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.9 - -20.7. What is w rounded to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -462831*n**2\/5 - 2776992*n\/5 - 36\/5 = 0. What is n?\nAnswer: -6, -2\/154277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-99)\/198*(1 + (-86)\/(-6)). Suppose 0 + 48 = 8*w. Suppose -n = -w*n - 40. Which is smaller: l or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**4 - 2*c**4 - c**2 + c**4 - 2*c**4 + 4*c**4 - 4*c**4 + (-3*c + 3*c + c**2)*(c**2 + c - c) - c**4 - 3*c**4 - 2*c**4.\nAnswer: -9*c**4 - c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/(-16) - (-9 + 32011\/3672) and -13\/5?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c. Let q(n) = 5*n. Let f(g) = 2*q(g) + 3*r(g). Let u(m) = 4*m**2 - 5 + 5. What is u(f(z))?\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 5 - 44)*(-q**2 - 3*q**5 + q**2) + 2*q**5 + 2*q**5 - 6*q**5.\nAnswer: 121*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 5*b + 9. Let l(v) = v**3 - 5*v**2 - 5*v. Let k be l(6). Let s be i(k). Solve 2*n + s = -3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324)*-2)\/(sqrt(18)\/(sqrt(24)\/sqrt(4))) - ((sqrt(108) - (sqrt(108) - (sqrt(108) + sqrt(108) + sqrt(108) + sqrt(108)*-2)))\/sqrt(6))\/(2*sqrt(96)).\nAnswer: -97*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9770 and 16.\nAnswer: 78160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - h - 504, 0 = -5*o - 4*h + 7*h + 623. Calculate the remainder when o is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 612688403 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.775 - -151235.\nAnswer: 151217.225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3327550 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.16 and -46037.01.\nAnswer: 7365.9216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 708*q + 707. Give l(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + i + 1. Let z(h) = -24*h**3 - h**2 + h - 3. Let v(f) = -3*t(f) - z(f). Find the third derivative of v(p) wrt p.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 8*a**3\/3 - 2434*a**2\/3 - 98288*a\/3 + 100714\/3 = 0.\nAnswer: -37, 1, 1361\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 27 = -n, -45 = -5*i - 2*n + 5*n. Let s(v) = 15*v + 3. Let j be s(1). What is the highest common divisor of j and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -12*i**2 + i - 4. Let b(s) = 35*s**2 - 3*s + 12. What is -3*b(v) - 8*c(v)?\nAnswer: -9*v**2 + v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2780*l - 5918. List the prime factors of j(-8).\nAnswer: 2, 8161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*b**2 + 0 + 4 - 4.\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -15, 6, -6 in ascending order.\nAnswer: -21, -15, -6, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**3 + 4*o**2 - 2*o - 4. Let t = -82 + 84. Let b be y(t). Is -6 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2002 (base 6) to base 11\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a2 (base 16) in base 8?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 10*s - 10. What is z(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 456 + -193?\nAnswer: 2c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*p + 123*p + 93 = 0. Suppose 4*a + 5*q + 61 = 0, -2*a = -2*q + 4*q + 30. What is the remainder when 47 is divided by ((-21)\/a)\/(p\/30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -10501 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 16509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4124 - -3*(-2)\/(-3). Let z = 24847\/6 - b. What is the common denominator of z and -31\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2556*f - 2931*f = 13125 for f.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3696431203 to the nearest integer?\nAnswer: 1546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 123, 135, 147, 159?\n\"Answer: 12*i + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 11:07 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6516 - 18b?\nAnswer: 637a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 51055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 4:41 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + sqrt(128) + -3)*5 + 0 - (-1 + (sqrt(128) - (sqrt(128) + 2)) + sqrt(128) + -1*(sqrt(128) - 1*sqrt(128))))**2.\nAnswer: -1728*sqrt(2) + 10512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 12. Factor 2*m**2 - m**2 - 4*m**4 + 2*m**d + 3*m**3 + m**4 - 3*m**5.\nAnswer: -3*m**2*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 94*w - 91*w - 13 = 0, 6*w - 34 = 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + p. Let i be g(0). Suppose -n + 2*k - 40 = -5*n, -4*n + 36 = k. Solve -3*u - 14 = 2*w, i = 4*w - 4*u - n - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161027 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23431110?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 2 + -3 + 7\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-78)*24\/16\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 5, -0.036, 0.1.\nAnswer: -1\/4, -0.036, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -8 + 0*w**3 + 33\/2*w**2 + 0*w + 33\/4*w**4. What is the second derivative of x(d) wrt d?\nAnswer: 198*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cx when two letters picked without replacement from cckkccxkkkckck?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**7)\/x**(-5))\/(x*x*x**(1\/4)*x)**(-23) assuming x is positive.\nAnswer: x**(295\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -85, -1\/8, -0.1, 0.9?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5791344369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -1341?\nAnswer: 1343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2617 - 2617.3. What is the closest to -6 in -5, r, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26255 (base 11) to base 3.\nAnswer: -1220112111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(833)*2 + (sqrt(833) - -4*2*sqrt(833)))**2 - (-2 + (sqrt(68)\/sqrt(4) + -4 + sqrt(17))**2*2).\nAnswer: 32*sqrt(17) + 240571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3412 (base 5) to base 16\nAnswer: 1e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 588934, 1177876, 1766818?\nAnswer: 2355760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -105, 13, -5, -4, 4 in descending order.\nAnswer: 13, 4, -4, -5, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**3*b)\/(b*(b\/b**(1\/14)*b)\/b))**(-4\/9) assuming b is positive.\nAnswer: b**(-86\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - s = -11, -3968*w - 4*s - 21 = -3967*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 91*u + 3 - 11 - 95*u. Let t be h(-7). Solve 0*g - 5*g - t = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -s**4\/12 - 2*s - 11. Suppose -6 = z - 5*z - l, 0 = -4*l - 8. Let r(d) = 5*d + 3*d - z*d. Give n(r(t)).\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.003 - -0.00405. What is x rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c + 29. Let n(l) = -1 - 12 - 5 + 4. Let g(u) = -2*b(u) - 5*n(u). Is g(-5) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*s - 6, 2*s - 2 - 2 = 2*g. Suppose s*p - 25 = -5*y, 3*p - y - 21 = -3*y. Find the second derivative of 2*w + 31*w - 3*w + 21*w**p wrt w.\nAnswer: 420*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 2\/8)*208\/(-4). Suppose 0 = 7*z - y*z + 114. Calculate the remainder when 55 is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-12))\/(2\/(-6)) + 7. Let t be (-14)\/((-2)\/1) - 2. Which is smaller: t or a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3754694, -3754367, -3754038, -3753707, -3753374?\nAnswer: -3753039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 80735 - 1644?\nAnswer: 78081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3500696043 to the power of 1\/2, to the nearest integer?\nAnswer: 59167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6782 + -108605\/16. Calculate the common denominator of s and 81\/2506.\nAnswer: 20048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 726 and 334202.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 465879*b**2*o - b**2 - 194*b*o - 1793*o wrt b.\nAnswer: 931758*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 divided by 2133.\nAnswer: 26\/711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g. Let d(u) be the third derivative of u**4\/12 - 5*u**2. Determine x(d(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1473186.\nAnswer: 2, 3, 11, 13, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 21*w**2 - 5*w - 57. Calculate k(-21).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*j = 4*y + 151*j + 29, 0 = -7*y - 4*j - 47 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*(k*k*(k**23\/k*k)\/k)\/k*k*k*k*k*k\/(k**11*k)*k**(-6\/17)\/k*k**(-4\/9) assuming k is positive.\nAnswer: k**(2479\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18375 and 3852000.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 7:23 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.044 + -0.744. Which is the second smallest value? (a) -4 (b) 0 (c) 39 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 72 = -5*x, 2*x = 6*x. What is the lowest common multiple of (-2)\/(0 + -1) + -1 + 3 and 4\/10 + r\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 2\/98089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 71332 + -17?\nAnswer: 71313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n - n**5 + 2*n + (0*n - 2*n + 4*n)*(2*n**4 + 4*n**4 - 4*n**4) + (3*n**3 - 4*n**3 - 4*n**3)*(0 - n**2 + 0) + (0*n + 0*n - 2*n)*(2*n**4 - 2*n + 2*n).\nAnswer: 4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*v - 12393730 = -44651245. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204, 181, 122, 9, -176?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 2*r**2 - r + 4. Let w be q(0). Suppose 20 + 24 = w*s. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -476673, -1906812, -4290375, -7627362?\n\"Answer: -476712*d**2 - 3*d + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25822 - -25797.031. Let y = u + 25.1. Let d = 0.069 + y. Which is the second biggest value? (a) d (b) -3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 238966 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(72) + -1 + -1*(sqrt(72) + 1)))**2.\nAnswer: -216*sqrt(2) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p - 5*p**4 + 13 + 11*p**4 + 10 - 5*p**4 in the form t + l*p**2 + g*p + r*p**4 + s*p**3 and give t.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 8*y**2 - y - 9. Suppose 23*h - 19*h - 272 = -3*j, 0 = -5*j + h + 415. Suppose -j = -3*v - 60. Calculate f(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 23 = v. Suppose y - 473 = i - 456, -9*y = -4*i - 133. Solve 2*t = -y + v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = t - 33. Let w = 19 - t. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 31\/5 of a millimeter?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -12, -2 in decreasing order.\nAnswer: 3, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-3)*1*-7. Suppose 3*a - l - 8 = 0. Suppose 0 = a*t - t. Solve -5*j - v - 21 = t, -2*j - 4*v + v + 2 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5558, 11117, 16676, 22235, 27794, 33353?\n\"Answer: 5559*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1251 - -50997923.\nAnswer: 50996672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*g - 1617*g - 81*g = -90047 + 5699 for g.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnurdurdo. What is prob of sequence gn?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 44, 13, -40, -115, -212?\n\"Answer: -11*x**2 + 2*x + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 0*z**2 - 1\/3*z**3 - 1\/4*z**4 + z - 2. Let c(h) = -2*h**3 - 2*h**2 + 4. Let g(l) = c(l) - 4*y(l). Factor g(m).\nAnswer: 2*m**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(10\/24*(-1144)\/(-2145))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2740 = 5*d, 5*d - 2752 = 5*g - 4*g. What is the first derivative of -486 + 53*t**4 - 14*t**4 + t + d wrt t?\nAnswer: 156*t**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + (sqrt(192) + 2)*-2 + -2.\nAnswer: -16*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1738*l + 1712*l + 91 - 3413*l - 2*l**2 with respect to l.\nAnswer: -4*l + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or 120?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 4. Suppose -21 = -3*m + 2*z, 5*z = k*m - 24 - 1. Suppose 4*s - m = -1. Solve -r = s + 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 34 = 16. Suppose 2 = -3*j + 20. Let b = i - j. Solve -x + 3 = -b*l - 10, 2*x + 2 = l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**34\/(((h\/(h*h**(12\/5)\/h))\/h)\/h) assuming h is positive.\nAnswer: h**(187\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 7\/15*x**5 + 0*x + 1\/6*x**3 + 35*x**2 + 0*x**4 + 0. What is the derivative of g(w) wrt w?\nAnswer: 56*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -7 + 6. Suppose 3 = b - t, -5*n + 35 = 5*b. Let l = 5 + -2. Solve -l = n*z - 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76 - -44) + (3 - (8 + -2)) + 4?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - -3. Let x = 17 - a. Suppose -3*s = -1 - x. Solve s*o - 1 = 4*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*n - 9862 = 0, -20*t + 15*t + n = -12338. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, -2, 0.02, -1\/2 in descending order.\nAnswer: 0.02, -2\/15, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 11*t - 13 = 0. Let c = 20 + t. Calculate the lowest common multiple of c and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175960 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2968, 5521, 7656, 9373?\n\"Answer: -209*t**2 + 3180*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -8*j**2 + 75*j - 130. Let l(k) = -k**2. Let y(b) = f(b) - 3*l(b). Find d, given that y(d) = 0.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1424340\/(-287))\/(2\/147). Round z to the nearest ten thousand.\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 2:02 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 122058624253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -9949678 smaller than -9949677?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)*r*r**(2\/15))\/(r**(-8)*r**(-2)) assuming r is positive.\nAnswer: r**(152\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 187, 534, 1269, 2518?\nAnswer: 4407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**4\/12 - 5*v**2\/2 + 3*v. Let b(d) = -3. Give 5*b(q) - 3*f(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/26 and -13\/5662.\nAnswer: 73606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 717*l - 671*l + 276 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 316 and 8?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-6*4*(sqrt(209) + (sqrt(209) - -1*sqrt(209)*-2)))\/(5*sqrt(66)\/((sqrt(6) - sqrt(54))*-3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4578?\nAnswer: 2, 3, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 876926709?\nAnswer: 3, 32478767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40*t**2 - 28*t**2 + 4*t - 2*t + (5*t - 2*t - 4*t)*(3*t + t - 5*t) + 3*t - 2*t**2 - 3*t - 3*t**2 + 4*t**2 - 2*t**2.\nAnswer: 10*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 679122*t**2. Let b(s) = -2789*s**2. Determine -1218*b(w) - 5*u(w).\nAnswer: 1392*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/13, 9, 1\/92, -0.1?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1332313210 (base 4) in base 7?\nAnswer: 4263010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35943787 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -20. Suppose -o*r + 7*r + 3*q = 6, 10 = 2*r - q. Which is the smallest value? (a) -0.5 (b) -1\/6 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(4\/52) - 3. Solve -s = w + w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8094 = -46*j + 27*j. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -2964d?\nAnswer: 2964e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -263, -583, -1041, -1643, -2395, -3303?\nAnswer: -4373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -25.516539677703 - -8\nAnswer: -17.516539677703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*p - 106*p = -5*o + 47764, 19104 = 2*o - 2*p. Is 15 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 472\/(-36) + 44\/396?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 25154*r + 28. Let l be f(-1). Let p = 39975468\/1591 + l. Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 0 + 3*w - 1\/2*w**2 + 1\/6*w**3. Let i(z) = 5*z - 6. Suppose 5*u + 4*r + 42 = 0, r - 3 + 0 = u. Give u*j(y) + i(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(156)*1)\/(sqrt(96)\/(-1*sqrt(8))*5).\nAnswer: 12*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**(2\/5)*a))**(-50))**(-23\/4))**(-5\/7) assuming a is positive.\nAnswer: a**(575\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + i - 57 = 0. Suppose -z + 22 = 5*r + 2*z, 4*z + i = 3*r. Solve 0 = r*o - 2*w - 20, -o + 2*w = -0*o - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/95, -6, -1\/16, -3?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 1\/6*o**3 - 1\/120*o**6 - 1\/30*o**5 + 0 + 5*o - 1\/8*o**4 + 0*o**2. Let a(r) be the second derivative of p(r). Give a(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161288.075 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-1) - (-15 - -11). Suppose 30 + 5 = -u*d. Let b(i) = i - 2. What is b(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 32*n + 64. What is r(-30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 + 5*m + 4. Let l be d(-2). Let v(i) = -1 - 6 - 10770*i + 10759*i + i**3 - 4*i**2. What is v(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 7390 + 53053 = 5*r, -3*r + 9*d = -27339. List the prime factors of r.\nAnswer: 2, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1306, -1520, -2112, -3274, -5198, -8076, -12100?\nAnswer: -17462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of h**3\/3 - h**2\/2 - h - 2. Let j = -2 + 4. What is the units digit of u(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3 + 5*r + 0*r**2 - 3*r**2 + 2*r**2. Let q be h(5). Find the first derivative of 3*t**q + 1 - t**4 - 3*t**3 wrt t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 + 0*q**3 + 0*q**3 + 113*q**2 + 15*q**3 - 113*q**2 + (2*q**2 - 2*q**2 - q**2)*(-2 + 2 + 2*q))*(4 - 1 - 1).\nAnswer: 24*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603733 is divided by 998?\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**6\/30 + 3*k**5\/25 - 3*k**4\/20 + k**3\/15 + 12. Suppose s(v) = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16267603883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + w = -7*q + 15, 0 = 26*q + w - 2*w - 314 + 77 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 234398759369\/12222 + -19178429. What is the common denominator of z and -133\/18?\nAnswer: 12222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 438 (base 13) in base 8?\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 123, 130, 153, 198, 271, 378?\nAnswer: 525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -34 (b) 4\/35 (c) 47 (d) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 346 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((1*(0 + sqrt(117))*3)**2 - ((sqrt(117) + -1)*-2 + (sqrt(117) - (-1*sqrt(117) + -2)) + sqrt(117))).\nAnswer: -3*sqrt(13) + 1046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2174, 2173, 2172?\n\"Answer: -j + 2175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*d - d + 2*d - 3*d + (-2 - 3 + 4)*(-d + 0*d + 2*d) - 2*d - d + d)*(2 - 6 + 1).\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) - (0 + sqrt(500) + sqrt(500))*6) + 4 + 2 + ((sqrt(500)*-1 + sqrt(500) - sqrt(500)) + sqrt(500))*4 + -1*(sqrt(500)*1 + -3)*5*-1)**2.\nAnswer: 1080*sqrt(5) + 18081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 2*s**2 + s. Let y(h) = -380*h**3 + 24*h**2 - 12*h. What is 12*o(p) + y(p)?\nAnswer: -368*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5636, -11258, -16880, -22502, -28124, -33746?\n\"Answer: -5622*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-8\/13)*c**(-1\/10))**(-45) assuming c is positive.\nAnswer: c**(837\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 343\/(-147)*(-18)\/(-28)*2\/27.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 - (-1 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2958*b**2*r**4 - 49*b**2*r - 97*r wrt r.\nAnswer: 35496*b**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of b**3\/3 - 1. Let l(g) = -14*g + 6*g + 3*g + 6*g. Determine s(l(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4 = -8*q. Let l = 0 - -5. Sort q, l, -4 in ascending order.\nAnswer: -4, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1274816737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7250459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 9*x**3 - 5*x**2 + 9*x - 5. Is u(1) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 3*d**2 + 21*d + 46. What is the smallest common multiple of o(-6) and 22?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144*36012.54\nAnswer: 5185805.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x - 3. Let i be m(2). Let o(d) = 9750459*d. Let f be o(i). Let k = -3250459 + f. What is k rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/3)\/((-28)\/(-42)). Which is the nearest to -2? (a) -8 (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 426299038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z - 6. Let t = 14 + -21. Let w be l(t). Let b = -2 - w. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/9 in 0.25, -2, 2\/5, -28, 21?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -5*r - 35, i + 2*r + 3 = 3*r. Put i, 2\/5, 8\/5 in decreasing order.\nAnswer: 8\/5, 2\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 a when two letters picked without replacement from mtecmaccmcctnmma?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1fe (base 16) to base 15.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4052604 and 362428?\nAnswer: 44578644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 2*d = -32. Let k(h) = -h**2 - 4*h - 4. What is k(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17.12 + -0.12. Let t = -14 + n. What is the third biggest value in 0, t, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + q - 3*g - 679, 5*q - 3*g + 1708 = 0. Let z = 98 - q. What are the prime factors of z?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 8:20 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 41 from -12393.\nAnswer: -12434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/27 - 14\/(-63)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -474668, -949302, -1423934, -1898564, -2373192, -2847818?\nAnswer: -3322442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2573548 greater than or equal to -97794833\/38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or 8?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1690021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38270?\nAnswer: 2, 5, 43, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 9*k - 20. Let p be d(-7). Let v(a) = 2*a + 1. Let g(n) = -3*n - 2. Calculate p*g(f) - 10*v(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 5, -32, 3, -2 in decreasing order.\nAnswer: 5, 3, -2, -15, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -9727*d - 23. Let s be a(-3). Calculate the greatest common factor of s and 244.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6322162337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*u - 3*u = -20*u + 1402968. List the prime factors of u.\nAnswer: 3, 7, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 101 - 95. Is 3\/(-2) - ((-1719)\/f + -3) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(-1 + (15 - -2)). Let d = -27 + r. Suppose -170 = -d*f + 5*h, -2*h = 2*f + 2*h - 86. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2663 (b) 0.03 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101 divided by -16567?\nAnswer: -1101\/16567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 247 + -110. Suppose 3*v - 30 = -348. Let b = t + v. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 1 - 2 = b, 3 = b. Suppose -c*z - 2*z + 392 = 0. 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 the tens digit of 1062137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*k = 2*q, 3*k = -2*q + 25. Let l = 32 + -11. Calculate the remainder when 100\/7 - 6\/l is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200201020020 (base 3) in base 8?\nAnswer: 3335252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -165 - -192. Let k be (-66)\/(-20)*9\/z. Are 1 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28402700 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 152858 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*s + 3*s - 1 + 16*s**2 - 36*s**2 + 3 + s**2 as m*s + o + g*s**2 and give g.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -2, -51543, 3, 0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -9*v - 10. Let l(m) = 3*m**2 - 6*m - 12. Let c(x) = -11*x**2 + 17*x + 34. Let f(j) = -6*c(j) - 17*l(j). Give u(f(r)).\nAnswer: -135*r**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 0*h + 2. Let p be (2 + h)\/(7\/161). Suppose -3*q + p + 16 = 0. Does 2 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/986008 and 53\/20.\nAnswer: 4930040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*h*y**4 - 331*h*y**3 + 5446*h*y - 7*y**4 - 16*y**3 - 1423*y**2 wrt y?\nAnswer: 672*h*y - 1986*h - 168*y - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.5 - 0.5. Let y = 114 + -117. Which is smaller: y or m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**2 - 492085. Let y(l) = -2*l. Determine a(y(v)).\nAnswer: 12*v**2 - 492085","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 109 - 105. What is the biggest value in -8, o, 0.5, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/(-9))\/((5\/(-5))\/(12\/(-4))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -3*h**2\/2 + 3*h - 2. Let z be m(4). Let s be (-5)\/(20\/z) - 3. Do -2 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -135*-219\nAnswer: 29565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 8*j**2 - 6*j - 6. Let x be (-2*1)\/((-2)\/7). Let v be h(x). Suppose s + v = -3, -8 = z + 3*s. Solve 4*i = -0*i + z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1624 is divided by 292.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 122, 472, 1056, 1874, 2926, 4212, 5732?\n\"Answer: 117*i**2 - i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 3*l**2 - 2*l + 2. Determine g(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4069 - -956. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 116, -15, 1, 2, 5 in descending order.\nAnswer: 116, 5, 2, 1, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11340.8 and -0.5.\nAnswer: 5670.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3.470827kg?\nAnswer: 3470827000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/(-6))\/(3\/(-4)). Let k(j) = -j - 4. Let r be k(w). Let l(h) = -3*h**3 - h**2 - 3*h - 2. Is 12 a factor of l(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-5)\/p**7)**(12\/5))**(-5\/18) assuming p is positive.\nAnswer: p**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 8*d + 3. Let v be i(7). Let z(c) = -2*c + 1. Let x(h) = -2. Let y(f) = -2*x(f) - 2*z(f). Is 12 a factor of y(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 137, 287, 483, 719, 989?\nAnswer: 1287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffyyuyyfyffyfmymuuuq. What is prob of sequence mm?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-207)\/132 - 3\/297*18.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - 1. Let r = -4.6 - m. Let v = -99 + 101. Which is the third smallest value? (a) v (b) -0.09 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*y + 12, -y - 3*v = -0*v - 11. Suppose 4*p + y = 2*x, -x + 4*x = -4*p + 62. Calculate the remainder when 29 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3234730 and 4540.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l - 24 = 2*c + 25*l, l - 44 - 49 = 5*c for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -954.94025 to the nearest ten.\nAnswer: -950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k**2 - 156*k - 68. Determine z(22).\nAnswer: -596","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 562344.39 minutes to days.\nAnswer: 390.5169375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 6*x**2 - 2. Let o be p(5). Let b(k) = k**2 - 10*k + 9. Let z be b(6). Let l = o + z. Does 8 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -5. Let c = 24566 - 24565.9. What is the nearest to c in 4, 3\/2, z?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4455)*-1)\/(sqrt(720) - -1*sqrt(720)).\nAnswer: -3*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-38661)\/(-1911) + (-6)\/26. Put 0, a, -2, -4 in ascending order.\nAnswer: -4, -2, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -98*t + 96*t, -t + 8 = -5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12e026b + 17?\nAnswer: 12e0283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -210556000 by 52639.\nAnswer: -4000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2*(-27 - 153760\/(-5696))).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -11. Let n(l) = -92*l + 6. Let j be n(o). Suppose -353 = -5*x + j. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.9*-33385\nAnswer: 96816.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 42. Let w be ((-18)\/21)\/(2\/a). Suppose 0 = -2*k + 2*y + 198, -y = 4*k + y - 378. Calculate the greatest common divisor of w and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-55)\/(9 + -14) + -3. Let p be (0 - 4)*(-10)\/8. Let x(b) = 2*b**2 - 2*b. Let z(r) = -r**2 + r. Calculate g*z(m) + p*x(m).\nAnswer: 2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**4\/3 + 929*b**3 - 2789*b**2 + 8369*b\/3 - 930 = 0.\nAnswer: -2790, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*p**2 - 363 + 363 + 2*p**2 - 2*p**2 - 2*p**2 + (p - p - 2*p)*(2*p - p + 2*p) - 2*p**2 + 1 - 1.\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 12) in base 7?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2470 - -2469.8561. What is t rounded to 3 decimal places?\nAnswer: -0.144","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**2 - 4*g - 2. Suppose 41*d - 51*d + 80 = 0. Let c(k) = 30*k - 58. What is the remainder when c(d) is divided by h(-3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, d: 1, g: 1}. What is prob of sequence gl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5930899 by -1.\nAnswer: 5930899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2 + 102. Let l = 28 + u. Let c(y) = -y**2 + 16*y + 89. Calculate the remainder when c(20) is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 512\/60 + 1 + (16 + (-426)\/30)*-5?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4124 divide 489502304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 17087 - 2*i + i - 17098 - 6*i**2. Let k(w) = 2*w**2 + 4. Calculate -3*c(h) - 8*k(h).\nAnswer: 2*h**2 + 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4671325 by 5.\nAnswer: -934265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12892 is divided by 772.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 0.3 (c) -2\/9 (d) 2\/65 (e) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -58\/3 (b) 1 (c) 0 (d) 4\/7 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(2\/3)*(s\/s**6)\/s)\/(s**(-3\/4)*s*s\/(s\/s**(12\/11))) assuming s is positive.\nAnswer: s**(-925\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-2744)\/84)\/(-49)*(-6)\/1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -725, -517, 0.4, -2\/5 in decreasing order.\nAnswer: 0.4, -2\/5, -517, -725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.39 - 0.142426\nAnswer: 0.247574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b - 7*b + 0*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -8 + (13 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/24 and ((-249)\/(-72))\/(1\/(-2)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -3*j + 2*j. Let p = -95 + j. Let y(o) = -o**2 - 44*o - 448. What is the remainder when p is divided by y(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + (-14380)\/(-16) + 2. Let w(j) = 891*j**2 + 2*j + 1. Let a be w(-1). Let b = q - a. What is the common denominator of b and 1\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 30*d = -3105. Let q = d - -194. List the prime factors of q.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = 3*d + 4*q, -16*q = -2*d + 380 - 640 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1313\/(-1414))\/((-13)\/8)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a micrometer in nanometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 31 = -5*c + 6, -5*b - 5 = -5*c. Solve -5*p + c*w = 15, -6*w - 4 = -2*p - 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11314.74 micrograms?\nAnswer: 0.01131474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -760 divided by -68.\nAnswer: 190\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 46*b + 369. Is f(36) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 708 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 1 + (1 - (5 + 4 + -12)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, 18, -9, -0.2, 0.3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-6)*(-8)\/(-80)*-2*-1*-27?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n + 5. What is x(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**5\/180 - 17*d**4\/72 - 8*d**3\/9 - d**2 - 52*d. Factor r(i).\nAnswer: -(i + 1)*(i + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2. Suppose -3*q + c = -7, 2*q = 2*c - 5 + 11. Let s(i) = 6*i**2 - i**2 - 5*i**q - 2*i**2 - 25*i. What is w(s(y))?\nAnswer: 4*y**4 + 100*y**3 + 625*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06932 and -590.\nAnswer: 40.8988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 253076 divided by 4?\nAnswer: 63269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*x - 135673 = -134254 for x.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17242997?\nAnswer: 1499, 11503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15554.2112 rounded to the nearest integer?\nAnswer: -15554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 58791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40839*v**5 - 24852*v**2.\nAnswer: -2450340*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101188 is divided by 2465.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1346*x**3 - 817*x**2 wrt x?\nAnswer: 8076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11387 + -5490\nAnswer: 5897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/16 + 21\/4. What is the second derivative of v - 3*v - v**5 + 3*v**j wrt v?\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11878734607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oeg when three letters picked without replacement from {o: 1, e: 3, g: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4173457 - 7258819. Let m = i + 1255362. Round m to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 439 = b - 437, -4 = 5*m + 2*b for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.25, -2\/35, 2, -8, -5 in descending order.\nAnswer: 2, 0.25, -2\/35, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2\/8 + 543*f - 610299\/8.\nAnswer: 3*(f - 129)*(f + 1577)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 75 = -q. Let d(h) = -2*h + 25. Let l be d(11). Calculate the highest common divisor of q and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 6*q. Determine o(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 5*j + 9, j - 2371*d = -2375*d - 17 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**5 - 41980*o**4 + 110207980*o**3 - 330372100*o**2 + 330288160*o - 110082064.\nAnswer: 4*(o - 5246)**2*(o - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -166611398 divided by -59?\nAnswer: 2823922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55098828 divided by -4.\nAnswer: 13774707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 5:36 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3 - 7. Suppose 4*h = 2*h + 4. Let a(u) = 0*u - 3 + u**2 + h*u + 1 - r*u. Calculate a(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.71 minus 3?\nAnswer: -69.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 79050\/1785 + 10\/(-35)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, g: 1, o: 1, n: 1, u: 1}. Give prob of picking 1 n, 1 o, 1 u, and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 544*c - 546.\nAnswer: 2*(c - 1)*(c + 273)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 1634197000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 328488 divided by 4\nAnswer: 82122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 309, 1220, 2701, 4728, 7277, 10324, 13845?\nAnswer: 17816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -180 or -167?\nAnswer: -180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -152076*q - 912456. Determine u(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 37. Let a = 16 + o. Let w(x) = -x - 1. Give w(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-28))\/(-3 + 22\/7). Let b(f) be the second derivative of h*f**2 + 1\/6*f**3 + 3\/4*f**4 - 17*f + 0. Give b(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -503*m**3 - 493*m**3 - 504*m**3 + 1499*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/188 and 1832\/470 + (-181 - -177).\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2443\/(-1442))\/(1\/484). Let y = 820 + c. Suppose 0 = 3*a - a - 2. Which is smaller: a or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j + 7*j + 6*j - 13*j - 6. What is u(-9)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39640?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 20006, 40714, 61424, 82136, 102850, 123566?\n\"Answer: b**2 + 20705*b - 700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 238.5602 grams?\nAnswer: 238560.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -538 + 1254. Let s(z) = -z**2 + 715 - a + 0*z**2. Let n(v) = 20*v**2 + 24. Give -n(c) - 24*s(c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 2. What is the common denominator of -2*(-1)\/18*v and -67\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**2 + 1398*u - 7065 = 0. What is u?\nAnswer: -471, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, x: 5, o: 3, l: 7}. Give prob of picking 2 l and 2 x.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2)*2*-5*1. Suppose -h*u = u. Solve y + 0 + 1 = u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m**3 - m. Let s be f(1). Let n(z) = 3*z - 2300*z**s - 3*z. Let w be n(1). What is w rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-17) + 2*-2. Let q = 883.5 - 883. Let m = 1 - -3. Which is the closest to 4? (a) h (b) m (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 22. Let p(h) = 9*h + 10. Let r be 6\/(-4) + 20\/(-40). Let a(i) = -36*i - 41. Let n(u) = r*a(u) + w*p(u). Differentiate n(g) with respect to g.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 1 = -3*b. Let n = -409 + 422. Sort 2, b, 1, n in increasing order.\nAnswer: b, 1, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -266*i + 63. Let a(m) = -7*m + 6. Determine 7*a(p) - q(p).\nAnswer: 217*p - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/4)\/((-12)\/144). Suppose -3*n + 6 = 3*a - 15, -f*n + 1 = -2*a. Solve i - 5*o = a*i - 13, -4*i - 2*o = 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 58*y + 312. Let z be s(5). Let d = 5\/197 - 2192\/985. Is z bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 2*o + 1206 + 8112, -5*o = -2*k + 4639. Calculate the highest common divisor of 132 and k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1488*y - 1500*y + 2968*y = 20 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (60\/6)\/(6783386\/6783382 - 1). Suppose 6*k + 30441545 + a = 0. What is k rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -13154876 = -13154876?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65404, -65397, -65390, -65383?\nAnswer: -65376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 44*h**2 - 619*h + 1260. Calculate n(24).\nAnswer: -2076","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -5*f**3\/6 + 25*f**2\/2 + 9*f. Let s be (9 + -7)\/((-4)\/14). What is the units digit of t(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14688 and 36.\nAnswer: 14724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*g. What are the prime factors of (-15 - (3 - g))\/(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2184)\/108 + 4\/18. Is f at least -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/111 and -49\/14615.\nAnswer: 43845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000422495 rounded to five dps?\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + 0 + 2 + 1. Let k be -4 - (-1 + q)\/2. Let m be (5000\/3)\/(k\/3960). What is m rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2681931*a**3 - 2*a - 160719 wrt a?\nAnswer: -16091586*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 + 49.99999979. Round h to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 3*d - 117. Let p be (0\/(-2))\/(-3) + 2. Calculate the remainder when d is divided by p*(38\/(-4))\/(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**3 - 115*t**2\/4 + 25041*t\/2 + 50193\/4 = 0?\nAnswer: -507\/4, -1, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 11669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2510.9 rounded to the nearest 10?\nAnswer: 2510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 2 + 6 + 5*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s - 3. Let a(r) = -r - 4. Let y(w) = 3*a(w) - 4*p(w). Let h(v) = 2*v - 6. Let n(d) = -2*d + 7. Let q(g) = -7*h(g) - 6*n(g). Calculate y(q(j)).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 16*o - 32 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 824684?\nAnswer: 2, 7, 29453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h - 3*h - 2*h)*(0 + 1 - 2)*(-3 + 4 + 0*h - 2*h).\nAnswer: -22*h**2 + 11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15a3 (base 15) to base 9.\nAnswer: 6340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11719.4 - -11719. Which is the nearest to -29? (a) o (b) 0 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -74*l - 5895. Give q(-80).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvrvrvvvrrrrrr. What is prob of sequence rrv?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 17*a**2 - 127*a + 161. Let p be j(6). Solve 18*r - p = 7*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015216528 rounded to 4 dps?\nAnswer: -0.0152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 2*d**3\/3 - d**2 - d + 214. Let n(i) = 3*i**2 - 2*i - 1. Give 4*k(h) - 3*n(h).\nAnswer: -h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 16) to base 11.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2, -2, 8, 34, 82, 158?\n\"Answer: c**3 - c**2 - 4*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-12))\/(4*(-8)\/128)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89683511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2786?\nAnswer: 2, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 226270, 903234, 2031508, 3611092?\nAnswer: 5641986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 5 - 65. Let k(r) = 3*r**2 - 11*r + 45. Let b be k(c). Let t = 1024 - b. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 5*f**2 - 6*f + 5. What is c(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*h + 3988 - 2881 + 3417 = 0. What is the greatest common factor of h and 3045?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18841832\/5 or -3768366?\nAnswer: -18841832\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - 2) + 61606 - 8\/(56\/49)?\nAnswer: 2, 19, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 4*u + 2 = 0, -5*d + 53*u + 57*u = 163*u - 54*u - 14 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y - 11*y**3 + 8*y**3 + y**3 - 1 - 2*y**4 in the form u*y**4 + k*y**2 + x + v*y + s*y**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 2285?\nAnswer: 4570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 5*k**5\/2 + 56*k**3\/3 + 199*k - 149. Let d(n) be the first derivative of v(n). What is the second derivative of d(b) wrt b?\nAnswer: 300*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 111101110001100?\nAnswer: -111101110001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -54, -92, -128, -162, -194?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -4)*1*2 + 561\/51?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-180)*(-1056)\/44.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 5, 2\/9, 2.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = i + t - 345, 0 = -4*i - 4*t + 1340. Let o = -316 + i. What is the lowest common multiple of o and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64*f**4 - 30*f**2 + 16*f**2 + 18*f**2 + 2*f)*(f + 3*f - 3*f).\nAnswer: -64*f**5 + 4*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*y - 18980 = -295*y - 308*y for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 39*v**4 + 6*v**3 - 281*v**2 + 250823 wrt v.\nAnswer: 156*v**3 + 18*v**2 - 562*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-5 + 10 + -11).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-2))\/(43\/(-258)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3297536113?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37532811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 2*n**3\/9 - 104*n**2\/3 - 5381. Find h such that a(h) = 0.\nAnswer: 0, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6383 and 11293?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 46, 6, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 160*o - 159*o - 3. Let t be (155\/20 - 7)\/(o\/44). Solve -3*m + 24 = 3*w, 3*w + t = 4*m - 0*w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.897 + -1.896998255. What is u rounded to 7 decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06716 rounded to 3 dps?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.37 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((10 - (23 - 19)) + (1 - 13)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 4829961.\nAnswer: 24149805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 414425 rounded to the nearest 10000?\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 119*a**2 - 3*a - 5. Let q(c) = -354*c**2 + 9*c + 14. Calculate 11*p(u) + 4*q(u).\nAnswer: -107*u**2 + 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.95, 0.3, -2, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.8 - -16. Let r = l - 6.2. Let i = r - 12.8. Round i to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 10*t**2 + 21. What is q(10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, x: 1, v: 1, t: 1}. What is prob of sequence oo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -837*l*m*o**2 - 246*l*m - 2*l*o**2 + 113*l*o - 8*m*o**2 + 2*o**2 + 1260 wrt m?\nAnswer: -837*l*o**2 - 246*l - 8*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(13) - (3 + sqrt(208))))**2.\nAnswer: 30*sqrt(13) + 142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 22752.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (770 + -3)*3\/(-30)*2. Let s = p - -152. Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**4\/11 + 738772*h**3\/11 - 4432686*h**2\/11 + 6649056*h\/11 = 0.\nAnswer: -369392, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/1)\/((-2)\/(-4)) + 8. Let m be 9\/q*50\/60. Let n = 1 - m. Which is the closest to n? (a) 16 (b) 0.4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 66, 2202, 6400, 12660?\n\"Answer: 1031*n**2 - 957*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*q - 12*q + 44 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 92508097*z**4 - 107770019 wrt z.\nAnswer: 370032388*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.07 - -0.47. Let g = 0.6 + p. Let s = 3 + g. Is 1 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46.878 - -46.87757383. What is a rounded to 6 decimal places?\nAnswer: -0.000426","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (38*p**3 + 174 - 78 - 94)*(3*p + 2*p - 6*p) - p**4 - 73 + 3*p**4 + 74 - 3*p**4 - 2*p**4 + 3*p**4 as m*p**4 + t*p**3 + b*p + k*p**2 + s and give m.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 841, 3\/5, -1\/8, 17.\nAnswer: -9, -1\/8, 3\/5, 17, 841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/2650 and -13\/18550.\nAnswer: 18550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-5))\/((-1)\/(-5)). Let m(a) = -4 - v*a**2 - a + 2*a**2 + a**2 - 2*a**2. Determine m(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*k**3 - 2*k**2 - k**2 + 5*k**2 - 5*k**2 in the form z + l*k + v*k**2 + t*k**3 and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 280 times -58.41\nAnswer: -16354.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133114*k**2\/3 + 16106788*k\/3 - 242 = 0.\nAnswer: -121, 3\/66557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*b - 1108, 74*b = 79*b + 4*m + 2775. Suppose -c - 1660 - 236 = 5*n, -376 = n + c. Let l = n - b. List the prime factors of l.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**6\/120 + u**5\/6 + 19*u**4\/24 + 4*u**3 - 40*u**2. Let l be x(-8). Solve l = -5*b - 10 - 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -387.\nAnswer: -5\/387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 4 (b) -3 (c) 1\/34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 1)*(-2*c + 5*c - 4*c) - 262 + 262 + 242*c + (-4*c - 2*c + 4*c)*(4 - 3 + 1) as v + i*c and give i.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 14240438.\nAnswer: 14240438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 529.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(396\/224) + 6.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12818 and 312482134.\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 12:53 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 294348 to the power of 1\/2, to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(1\/3)\/w*w)\/w)\/w**(-6)*w**(-6)*w*w\/w**(-8))**(-2\/89) assuming w is positive.\nAnswer: w**(-56\/267)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(84)*2)\/sqrt(7) + (sqrt(147) + -2 + sqrt(147) - sqrt(147) - sqrt(3) - (sqrt(75) + 0 + sqrt(75) - sqrt(75)))**2)*2.\nAnswer: -16*sqrt(3) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 1 - (-1 + -2 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28316501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375478 = 69*x + 45106. Calculate the greatest common divisor of 56 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39585567, 79171138, 118756709, 158342280, 197927851?\nAnswer: 237513422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17364 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*i**2 + 3275 - 3275 - 18*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -7\/2*s**2 + 1\/5*s**5 + 0 + 0*s**3 + 2*s + 0*s**4. Find the first derivative of f(n) wrt n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**5\/60 - j**4\/12 + j**3\/6 - j**2. Let p(n) be the first derivative of d(n). Find the first derivative of p(c) wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324833799 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 22*n + 27*n = -40, -2*n - 20 = 2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wt when two letters picked without replacement from {w: 6, t: 8}.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 + 108816*k**2 + 326462*k + 217644.\nAnswer: -2*(k - 54411)*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 6*t - 3*n + 20, 4*t = -2*n + 16. Suppose -5*u + 356 + 1579 = 0. Suppose -o - 3*o + u = -c, t*o - 391 = -3*c. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from {f: 10, m: 1, i: 2, l: 3, t: 1}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1071, -1786, -2501, -3216, -3931?\n\"Answer: -715*w - 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 606?\nAnswer: 4242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/12)*j*j*j\/(j*j*j**(-5))*(j**5\/j)\/j**(1\/4))**(1\/35))**(3\/5) assuming j is positive.\nAnswer: j**(59\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 6*p + 9. Let c be l(6). Let z be 6\/(-27) + 1260002\/c. Round z to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 582 and 38166.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -0.22587, -70?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3687830247.6024 + -0.2\nAnswer: -3687830247.8024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5*((sqrt(75) - (sqrt(75) - (0 + sqrt(75)) - sqrt(75)) - sqrt(75))*-4 + 4)*3*4)**2.\nAnswer: -576000*sqrt(3) + 4377595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 75*k + 73*k - 7778 = 0, 0 = 2*b + 3*k - 3901. List the prime factors of b.\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(50)\/(sqrt(30)\/sqrt(3)) - ((sqrt(50) + sqrt(250)\/sqrt(5))\/sqrt(10) - sqrt(5))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 182495682 to the nearest integer?\nAnswer: 13509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 - -53. Suppose u*b - 9*b = 3278. Is (b\/(-11))\/(2 + (1 - 2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y**2 - 9*y. Let l(d) = 5*d**2 + 13*d + 5. Let i(z) = 16*z**2 + 40*z + 14. Let v(p) = -4*i(p) + 11*l(p). Let f(x) = -7*o(x) + 4*v(x). Factor f(n).\nAnswer: -(n + 1)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**4 - 619016*b**3 - 21523325*b**2 wrt b.\nAnswer: -24*b - 3714096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -28, -34, -42, -52, -64, -78?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/4048 and -121\/288.\nAnswer: 72864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from lznalzo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579576.\nAnswer: 2, 3, 19, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 48 = 4*r. Is ((-148)\/16 - -9) + 69130\/r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*t - 9 + 9 + 96*t in the form f*t + g and give f.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23.9 + -24. What is the third biggest value in v, 2, 2\/55, 1?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**7\/33 - 2*b**6\/15 - 16*b**5\/55 + 13*b**4\/33 + 25*b**3\/33 - 4*b**2\/11 + 335*b. Let i(y) = 0. What is y?\nAnswer: -1, 1\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/3 - 10*d**3\/3 - 16*d**2 - 8*d\/3 + 64\/3.\nAnswer: 2*(d - 8)*(d - 1)*(d + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150286780.\nAnswer: 2, 5, 7, 401, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069 (base 10) in base 2?\nAnswer: 10000101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 673227 is divided by 51782?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 6, -33*p + 44 = -31*p + 3*r. Let i(x) = -25*x - 7. Let y be i(-6). What is the highest common factor of p and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 + -85. Let y = v - -41. Let f = 11 + y. Solve 0 = -f*b - 5, -2*x = -2*b - 2*b - 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**3 - 1 + 1 + (w + w - 3*w)*(-w**2 + 2*w**2 + w**2) + w + w**3 - w - 504*w**3 + 4923*w - 4923*w to j*w**2 + r + f*w**3 + a*w and give f.\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -40. Let s = v + -16. Let b be 0\/(1 + s + -1). Solve -4*r - 3*k = -1, -r + b*k + 14 = -2*k for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6529.953 hours?\nAnswer: 23507830800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8.44, 1\/201, 0, -0.3, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1 + 0 = 0. Let i(s) = -3*s + 33. Calculate the remainder when 35*f + (-6)\/3 is divided by i(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373613.\nAnswer: 373613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -6 + 2. Suppose 0 = -p - 2*p - y*i - 31, -18 = 2*p + 4*i. Let d = 1 - p. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*i**4 - 1449136*i**3 - 1185542*i**2 + 6586996*i + 6323424 = 0 for i.\nAnswer: -65869, -2, -1, 24\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5292 divided by -28.\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1041 (b) -6.3 (c) -43 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1455*u + 1599*u - 629*u as a*u + d and give a.\nAnswer: 2425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.1848 minutes to microseconds.\nAnswer: 3191088000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 150540.6224 to the nearest ten.\nAnswer: 150540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78372*d - 215 + 615 = 78422*d for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -618*w**2 + 3*w + 18. Let s(u) = 464735*u**2 - 2255*u - 13530. Calculate -4510*j(m) - 6*s(m).\nAnswer: -1230*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8354818 and 346.\nAnswer: 1445383514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -43, -71, -107, -151?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uj when two letters picked without replacement from oeouojqeeou?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fc when two letters picked without replacement from tufcctuemmmmfm?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 376*c**3 + 6*c**2 - 217. Let p(g) = -378*g**3 - 5*g**2 + 217. Let o(q) = 5*j(q) + 6*p(q). What is the first derivative of o(n) wrt n?\nAnswer: -1164*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 21945280\nAnswer: 6583584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.4 (c) 108 (d) -1.3 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347390 is divided by 195?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*d - 18 = 0, -d - 2*d = 3*o - 18. Suppose 0*q - 16 = -4*q. Suppose -9 = -3*n, q*c + o*n - 116 = 2*n. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16627*b**3 + 33261*b**3 + 73*b - 73*b - 16626*b**3.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 - 23*h**3 - 415*h**2 + 415*h**2.\nAnswer: -24*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -71890 divided by 4\nAnswer: -35945\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = -z + 32. Calculate the remainder when 12 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.605 plus -0.08549?\nAnswer: -0.69049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + z = 4*o, -5*z = -o - 16. Suppose 0 = -4*s + 5*p - 229, o*s - 124 = -2*p - 318. Let n be s\/105 + (-6)\/(-21). Sort -1\/4, 0.4, n.\nAnswer: -1\/4, n, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126)\/30*(-5)\/(630\/36)*45.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 14. Let l = -46499 + 418493\/9. What is the nearest to 2\/5 in -0.3, u, -2\/13, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 70*d**2 + d. What is the units digit of f(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4999*p - 7. Let y be u(8). Let r be y\/5 - 4\/20. What is r rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhxhhxhx. What is prob of picking 1 h and 1 x?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4 = 0, 4*b - t + 189 = 5*b. Let w = 268 - b. Round w to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/65)\/d)**(-8) assuming d is positive.\nAnswer: d**(16\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 90751\/196640 - 114\/1229. Find the common denominator of (-182)\/40 - (-4)\/(-10) and h.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4511 and 8735378.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + sqrt(80)) + 0 + -4)**2 + -3.\nAnswer: -768*sqrt(5) + 3133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10290 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100372048 and 3472?\nAnswer: 3472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (-40 - -19) + 28\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4 - 19*3\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3 + sqrt(208)\/(2*sqrt(4)) + sqrt(52))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -1 - 7*n**2 + 3*n**2 - 7*n + 4 + 5*n**2. Let w be o(7). Which is smaller: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eddcvcdvcvcvcvdc. What is prob of picking 1 e and 1 c?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + (-9)\/((-18)\/356).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 398686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/6)\/((-16)\/(-26520)*13). Let q be x\/(-13) - (10 - (3 - -1)). Which is smaller: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4 - 2*q + 3*q + 4. Let w(j) = -106*j**2 + 195*j**2 - 102*j**2. Calculate k(w(g)).\nAnswer: -13*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 10:33 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-34))\/(2\/12*-12)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2201 = 190*m + 5589 for m.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -10. Let s = c - 7. Put 4, s, 0 in ascending order.\nAnswer: s, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z. Let d(m) = 5*m**2 + 3*m**2 + 7*m**2 - 32*m**2. What is d(q(y))?\nAnswer: -17*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*v - 39 + 3, 3*l = 5*v + 44. Suppose -4*u = -3*q - 39, 5*u - 66 = -0*q - 2*q. What is the remainder when l is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 6*r = -6. Let g be 8 - r*3\/9. Calculate the greatest common divisor of 63 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -6*l**3 + 8*l**2 + 14*l - 6. Let g be b(-14). Let j = 197165\/11 - g. Let u = -94 + j. Sort u, -0.4, -2 in increasing order.\nAnswer: -2, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = v - 4. Suppose -5*u - 18 = -u + 2*b, u = b - v. List the prime factors of (-4)\/(-6) + (-80)\/u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n**4 + 50*n**3 + 80*n**2 + 54*n. Let r(k) = k**4 - 10*k**3 - 16*k**2 - 11*k. Let z(d) = -3*a(d) - 14*r(d). Factor z(s).\nAnswer: -2*s*(s + 1)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 743*o**3 + 2*o - o.\nAnswer: 743*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3128 = -4*o, -12*o = -8*o + 20. List the prime factors of s.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 3*m + 2. Let t be v(-2). Suppose 0 = -0*h - t*h + 472. Let q = h - 947\/8. Which is the nearest to 2\/5? (a) -5 (b) 2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**14)**(11\/2)*(z**(-1\/11))**(-21\/5) assuming z is positive.\nAnswer: z**(4256\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r + 293376*r**2 - r**3 - 293376*r**2 + 0*r.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 4*p + 33 = 5*p, -s = -p - 2 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11600 * -2628\nAnswer: -30484800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*a*o*v**2 + 2*a*v**2 - 275*a*v - 1340*o*v**2 - 184202*o*v - 764*v**2 wrt v?\nAnswer: -10*a*o + 4*a - 2680*o - 1528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -20 + 352*i - 66 + 38. Let k(l) = 37*l - 5. Let q(r) = 5*a(r) - 48*k(r). Let b(n) = -n. Give q(b(t)).\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/369 or 0?\nAnswer: -2\/369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 1 = -3*q, 3*q - w - 7 = -2*q. Let u(p) = -3*p - 4. Let l be u(-2). Let j be (1 - -4 - 7)*1. Put l, j, -7, q in descending order.\nAnswer: l, q, j, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -415281) + (8 + 9 - 15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 4*b - 1600. What is the least common multiple of 136 and 2 + (b\/30)\/(1\/(-3))?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21978348*k**2 + 31 - 21978348*k**2 - 4*k**3.\nAnswer: -4*k**3 + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2814174182?\nAnswer: 2, 79, 4073, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 1.4, -5, -0.01, -0.1, 0.3, -0.0432?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15382 - 15396. Let t(h) = -9*h - 4. Let i(d) = -4*d - 2. What is f*i(s) + 6*t(s)?\nAnswer: 2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 13 + -25 + 14\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (88\/48)\/(-1 - 21\/(-20)). Let v = g + -751\/6. Let d = v - -220\/3. Calculate the common denominator of 97\/16 and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -54\/6835 and 50\/12303.\nAnswer: 61515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25720 rounded to the nearest 1000?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and -189.\nAnswer: -15.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 14. Let f = 0 + 0.1. Let d = -1\/16 - 3\/16. Which is the second biggest value? (a) f (b) v (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -875 + -5a?\nAnswer: -8d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 15. Let x be d(12). Suppose -x*h + 5 = -4. Let g = -2 - -3. Sort g, h, 2.\nAnswer: g, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -3 + 0*c - 1\/2*c**4 + 1\/3*c**3 + 0*c**2. Find the third derivative of y(g) wrt g.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 33 = 2*d, 0 = d + 4*d - 4*x. Calculate the highest common divisor of d and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (84\/6)\/2 + -3. Let r(l) = -l**3 + 4*l**2 - 4*l. Give r(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 4)*(-2 - 63\/(-30))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -646150 at most as big as -7753793\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 + 2*v - 4. Let a be r(-3). Suppose -a*x = -6*x - 6. What is the remainder when 4 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 833.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2 - j + 2*j - 113*j**3 + 5 - 2. Let i(s) = s. Let f(h) = -c(h) + i(h). Let v be f(1). What is the greatest common factor of v and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 152, 212, 272?\nAnswer: 332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 202.51 and 0.143.\nAnswer: 202.653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s**2 + s - 200. Suppose -4*m + 5*m = 0. Let l be u(m). What is l rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -z**3\/3 - 2. Let h(r) = -22*r**2 + 39*r**2 - 23*r**2. What is u(h(j))?\nAnswer: -36*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4*(2 - 147\/12)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5302*m**2 + 2765 + 355 + 3517 wrt m.\nAnswer: 10604*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(850))\/(-2*1*sqrt(162) + sqrt(162)).\nAnswer: 40*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 - 179\/3. Let g = 0 - 0.1. Which is the nearest to g? (a) 1\/2 (b) 2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(170) + -3*sqrt(170)))\/sqrt(10).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 831 + 846 = 0. Solve -7*j + x = -4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.21886cm in micrometers?\nAnswer: 92188.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012 to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j**4 + 9 - 9 + (-1 + 5 - 3)*(0*j**4 - 4*j**4 + 5*j**4) + 12*j**4 + 17*j**4 - 9*j**4 to f*j**4 + a*j + v*j**3 + h + y*j**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1323) - (-1*sqrt(1323)*3 + sqrt(1323)))\/(sqrt(729) + (sqrt(729) - (sqrt(729) - -3*(sqrt(729) + sqrt(729)*2 + sqrt(729))))).\nAnswer: -7*sqrt(3)\/33 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 774\/43*9775\/30 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + ((2 + sqrt(891) - sqrt(891)) + 1 - sqrt(891)) + -1)**2 + -1)*4.\nAnswer: 216*sqrt(11) + 3596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5507 - 4674. Is 0.3 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 498392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.4, -5, 5, 2, 2\/60557 in decreasing order.\nAnswer: 5, 2, 2\/60557, -0.3, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 + 53. Suppose 5*m - 1514 = -4*p, 0 = 72*m - 69*m - 18. Calculate the remainder when p is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11053 (base 7) to base 13\nAnswer: -1360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of i**6\/12 - i**5\/15 + i**4\/4 - i**3\/6 - 4*i**2 - 3. Let a(x) be the second derivative of q(x). Is a(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1\/8)*h*h**(-4)*h)\/((h\/h**(-5)*h*h)\/((h**(1\/2)*h)\/h)) assuming h is positive.\nAnswer: h**(-67\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6552 + 6199.7. What is d rounded to the nearest 10?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 19 + -89 + -62 + -10 + 16\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 13 = 5, -5*i - 10 = -5*z for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/8)\/(9\/(-12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 29*i**2 + 6*i + 5. Let w(r) = -87*r**2 - 17*r - 14. Suppose 5*v + 16 = -4*y - 8, -2*v - 18 = 3*y. Give y*w(n) - 17*p(n).\nAnswer: 29*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 6300?\nAnswer: 1\/1575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 5:28 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 1144*q**3 + 22*q**2 + 5*q - 20. Let l be f(15). Suppose l = -2*c + j, 5*c + 2*j - 5*j = -9665015. What is c rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 7*s**2 - 3*s + 5. Let h be y(7). Let u be h\/(-12)*36\/8. What is the third biggest value in 1\/5, -1, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7367421898 to the power of 1\/7, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-14 + 20 + 2 - 15) + -9.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 2*n = -3*n - 14, 3*i - 10*n = 105 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(3\/(-3) - -6). Suppose 0*l + 4*l - 14 = -v, 0 = b*v + 10. Put 2, l, -5 in decreasing order.\nAnswer: l, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 + a - 7 + 5 + (-6 - 3 - 32)*(2 - 2 - 2*a).\nAnswer: 83*a - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 820.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - -260?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 u, and 1 y when three letters picked without replacement from {d: 11, u: 1, m: 1, y: 4}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -9*x + 7. Let o be w(-11). Round o to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/2 - (-1620)\/13200 and 57\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, s: 9, c: 1}. What is prob of sequence qcs?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 993 is divided by -1 + -3 + ((-1458)\/(-72))\/((-3)\/(-12))?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 5*h**2 - 20*h + 46. Determine w(5).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11164 + 50703. List the prime factors of b.\nAnswer: 19, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**2\/11 - 144*t\/11 + 1640\/11 = 0. Calculate t.\nAnswer: -82, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 - 2*d**2 + d. Let r be j(2). Suppose -5*t + 5*a + 20 = 0, -r + 29 = t + 2*a. Let p = t - -24. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 18 = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -1. Suppose -3*j + q = -4*o, -2*j - 2*j + 24 = 2*o. Find the second derivative of j*h**3 - 2*h**3 + 3*h - 2*h**5 - 3*h**3 wrt h.\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 4*c - 4*o = 16, -5*o - 27 = c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (344\/516)\/((-1)\/18).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8785208?\nAnswer: 2, 1098151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -344124, -688255, -1032386, -1376517, -1720648, -2064779?\n\"Answer: -344131*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 6*a - a + 20, -4*o = 4*a - 56. Suppose -o = 5*x + 1. What is the common denominator of 35\/12 and x\/14 + 194\/(-28)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -4e2147a?\nAnswer: -4e2147a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 638 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6\/103 + 461\/927. Let f(w) be the second derivative of o*w**4 + 0 - 4\/9*w**3 + 0*w**2 + 2\/45*w**6 - 3*w - 4\/15*w**5. Factor f(g).\nAnswer: 4*g*(g - 2)*(g - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 times -2804\nAnswer: 33648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4358283 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 157 + (45\/(-3))\/5. Suppose 0 = -19*v + 30*v - c. What is the remainder when 38 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-5) - (-84)\/(-10). Let q(x) = -10*x + 67. Let i be q(5). Let f = o + i. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**3*w**3 + 3*p**3*w**2 + 32*p**2*w**3 + 21*p**2*w**2 + p**2*w wrt w?\nAnswer: 6*p**3 + 192*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 + 2*a**4 + (1 - 4 + 1)*(4*a**4 - a**4 - a**4) - 2*a**4 + 15*a**4 + 0*a**4 to the form f*a**2 + g*a**3 + t*a**4 + u*a + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 40\/(-28) + (-2)\/1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 113*s**2 + 822*s - 1887. Let z be i(-105). Find r such that 40\/3*r + 16 + 2\/9*r**z + 28\/9*r**2 = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 + 772281008*p + 37276122207343504.\nAnswer: 4*(p + 96535126)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*t - 31. Suppose 2*m - 35 = -t. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8*s**2 - 3*s - 3. Let v(q) = q + 1. Determine -f(c) - 3*v(c).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3399 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**2)**36)**(-6\/23))**(-36) assuming x is positive.\nAnswer: x**(15552\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -2, -3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 436, -263, -962, -1661?\n\"Answer: -699*q + 1135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 506, 2089, 4714, 8369, 13042, 18721, 25394, 33049?\n\"Answer: -2*f**3 + 533*f**2 - 2*f - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4\/4 - 11832*w**3 - 47325*w**2\/4.\nAnswer: -3*w**2*(w + 1)*(w + 15775)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -619 - -1454. Is 20 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*q**4 + 137*q**3 + 273*q**2 - q + 5431507 wrt q.\nAnswer: 16*q**3 + 411*q**2 + 546*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -103 + 0?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*h + 6 = 0. Let x be 1 - (h + 1 + -7). Solve x*a + 16 = 4*v + 4, 3*v - 1 = a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.28 + -0.08. Let q = 1.4 - t. What is the second smallest value in -1\/4, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102.345248 greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -9618*p**3 + 7*p**2 - 16. Let m(v) = -4809*v**3 + 4*v**2 - 9. What is 7*m(d) - 4*r(d)?\nAnswer: 4809*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 8*j + 7. Let h(r) = -2*r - 5. Let t be h(-5). Suppose -t*s + 10 = -0. Suppose s*v = -0 + 10. What is b(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (26\/4 - 1)*2. Suppose 3*w = 5*y + c, -3*y = -6*y - 3. Suppose -w*p + 18 = p. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*z**2 + 74*z**2 - 56*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.16 - 6.86. Let c = -2.3 + x. Let v = c - -1.5. Round v to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 17 (b) -2\/9 (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65347\/137 - 477. Is 4 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7184.332949 - 2\nAnswer: -7186.332949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 52020, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b - b - 4*b + 2*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 95764.4 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 8 + 4. Let u(o) = o**3 - 17*o**2 + 21*o - 75. Let k be u(16). Let r(n) = -n + 1. Let w(y) = y - 1. Calculate c*w(j) + k*r(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 + 53 = -16*p - 18 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 398112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1331, 1, -9 in decreasing order.\nAnswer: 1331, 4, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 218153195*h**5 - 294286766*h**2 wrt h?\nAnswer: 13089191700*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 61 = 169. Does 3 divide (-452)\/b + (-24)\/9 + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -224225 - 83*y**2 + 224225 - 141*y**4 wrt y?\nAnswer: -3384*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 h when four letters picked without replacement from {h: 2, n: 5}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y - 8*y - 3*y + 23*y + 0*y. Let r(h) = 33*h**2. Calculate r(s(f)).\nAnswer: 2112*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5841 - 5833 - 122*y**3 + 11674.\nAnswer: -122*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*u + 210*u + 355*u - 20548 = 68*u for u.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/60*-8)\/(56\/20)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82847 divided by -6.\nAnswer: -82847\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -628 divided by -11.\nAnswer: 628\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 8 = -5*y, 2*y = -4*o - 15 - 5. Which is the closest to y? (a) 5 (b) 0.7 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 500*w**4 - 706*w**2?\nAnswer: 12000*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 8*j**2 + 9*j + 5. Is s(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2824319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -5*s - 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 239 and 154659051?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5757 divided by 5.\nAnswer: -5757\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 5396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 5*c + 8. Calculate n(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1506855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -354132\/7 - -2950313\/56. Let q = k + -2104. Let i = -197\/23 + 1263\/322. What is the common denominator of i and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one sixths of a day in hours?\nAnswer: 164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -7*x**5\/10 - 10*x**3\/3 - 5*x. What is the second derivative of q(k) wrt k?\nAnswer: -84*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -1.68, -0.5, -3, 12, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2721, 2793, 2865?\nAnswer: 2937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**3 - 213528564*j**2 - 2849653084508160*j - 2849652870979600 = 0. Calculate j.\nAnswer: -26691070, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 2:25 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/2 + 3\/4. What is the second smallest value in u, 0.4, -1\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 94*b**4 + 4 - 4 - 494*b + 549*b wrt b.\nAnswer: 1128*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 0.0779.\nAnswer: -0.3116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 415*d**2 + 8661*d + 784. Determine x(20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116640 and 511200.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 1614*p**2 + 1. Let o be z(-1). Suppose 0*t + 5*t = o. Suppose 4*f - t = -5*a - 106, -2*f + 76 = -4*a. What is the greatest common factor of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(847)*-1 + 1)**2.\nAnswer: -44*sqrt(7) + 3389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 492*u + 5401. Let i be f(-11). Sort i, 31, -5 in increasing order.\nAnswer: i, -5, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -882, -1522, -2160, -2796?\n\"Answer: x**2 - 643*x - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2819.\nAnswer: 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 464*d - 20875. What is x(45)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2888b (base 13) to base 6\nAnswer: 1344341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + y - 15 = -2*y, 5 = y. Suppose 3*p - 24 = -3*h + 18, d = -3*h + 4*p + 42. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13630 = 12*u + 6506. Which is smaller: u or 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 less than or equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*d - d. Suppose 5*p - 6 = h, p - 3*h - d*h = -18. Suppose b - p = -b. Put 0, 5, b in ascending order.\nAnswer: 0, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6607 - -12094?\nAnswer: 1869b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 10. Let j(b) = -7*b + 8. Let t be j(3). Let v be z(t). What is the second smallest value in v, -5, -4\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 6 - 3 - 17*l**3 - 23.\nAnswer: -17*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**3\/17 + 1852*d**2\/17 + 8*d\/17 - 7408\/17 = 0.\nAnswer: -2, 2, 926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/3))**(-48))**(-4) assuming x is positive.\nAnswer: x**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 175 = -161. Let a = p - -82. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a meter in millimeters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4045*v**2. Let w(o) = -4*o**2. Determine t(w(s)).\nAnswer: 64720*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10787*h**3 + 3*h + 1141?\nAnswer: 64722*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d - 7. Let i be t(7). Let z(y) = y**2 + y + 2. Let f be z(i). Suppose -10 - 2 = -f*s. Solve -h - 3*b + 2 = -s*h, 0 = h + b - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1859 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5337, -10709, -16117, -21567, -27065?\n\"Answer: -a**3 - 12*a**2 - 5329*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-12) + (-2)\/(-8). Let i be c - (-1 + 10\/2). What is the units digit of (-52)\/(-10) + i\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-4)\/h*h**3*(h*(h\/(h*h**(1\/2))*h)\/h)**(-6\/11)*h**1*h**(-2\/3)*h**(-5)\/h**3 assuming h is positive.\nAnswer: h**(-328\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (9 - 4) + 14 + -64 - 14?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k*k**(1\/2)*k)\/(k\/(k\/((k*k\/k**(1\/10))\/k)*k)))**(7\/8) assuming k is positive.\nAnswer: k**(161\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (168 + -49 - 175) + 11.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -178*f**3*m*n + 33*f**3 + 2*f*n wrt m.\nAnswer: -178*f**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 10. Suppose 0 = -4*z + 11 + n. Factor -q**z + 0 + 2\/5*q - 3\/5*q**2.\nAnswer: -q*(q + 1)*(5*q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -50 from 104040.\nAnswer: 104090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/4)\/f)\/(f*f\/(f*f**(-11)*f)) assuming f is positive.\nAnswer: f**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-40)\/(-260) - 37\/(-13). Suppose 3*k - 25 = -2*k. Suppose -4*b - k*y = -352, -5*b - w*y = -214 - 213. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qh when two letters picked without replacement from hhhhhhhq.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5067*k + 2727*k - 1838*k + 5815*k = 317817 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 143292?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15567 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -109*k**4 + 1086*k**3 - 1086*k**3 + (-k + k - k)*(-2*k**3 - 3*k + 3*k) - 2*k**4 + 4*k**4 + 0*k**4.\nAnswer: -105*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*l + 24*l + 25*l**2 - 50*l to r*l + s + y*l**2 and give y.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -23. Let j = -13 - l. Let h = j - -8. Which is the second smallest value? (a) 4\/5 (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 26 = 4*n + 3*z, 3*n - 10 = -z. Suppose 32 = -2*g + n*x, 7*g + 73 = 4*g + x. Let k = g + 35. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -39, 396106, -4 in decreasing order.\nAnswer: 396106, 3, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-102)\/12 + 5)*-2. Let k(o) = -14 - 27*o**2 - 19 + 25*o**3 - 13*o**2 + 40*o - t. Let l(u) = -2*u**3 + 3*u**2 - 3*u + 3. Determine -3*k(s) - 40*l(s).\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.12, 40, -1\/236?\nAnswer: -1\/236","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 47*w + 20. Let b be o(-4). Let g = -133 - b. Calculate the greatest common factor of g and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, g: 3, d: 1, h: 3, i: 1}. What is prob of sequence bbig?\nAnswer: 15\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 286882847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*c = 13*c - 105 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25908656939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5441 - -5477. Suppose 5*x - 450 = i, 0*x + 3*x - 270 = -4*i. What is the greatest common factor of j and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 2\/7 (c) 4864 (d) -1\/11 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5 = -28*o + 29*o, -11 = w + 2*o. Let a(q) = 2*q**2 + 5 - 4 + 2. What are the prime factors of a(w)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 41.48365 millilitres?\nAnswer: 0.04148365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1672 - -3.\nAnswer: -1669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3725?\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -42363505 greater than -42363505?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26679 is divided by 291?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z**(-1)\/z)\/z)*z*z**(3\/7)*z)\/(z*z**(1\/4))**(2\/23) assuming z is positive.\nAnswer: z**(2035\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-630)*-5)\/(((-15540)\/63)\/74)\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 65, 62, 51, 32, 5?\n\"Answer: -4*a**2 + 9*a + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12486175787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 3*p + 39, -4*p - 37 = -3*f - 7. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3261 is divided by 107?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 43844.1 rounded to the nearest one thousand?\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*w + 66 = 0, 30*w = -3*b + 27*w + 63. Let v(m) = -m**2 + 17*m + 19. Determine v(b).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from zzpczzzzzp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 83223 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18 - d7156?\nAnswer: -d716e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*x**2 - 9*x**2 + 64*x**2 + 38*x**2 to z*x + r + w*x**2 and give w.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0*c)**(-18\/13))**(1\/64)*(((c**1\/c)\/c)**(2\/31))**(2\/3) assuming c is positive.\nAnswer: c**(-2501\/38688)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-7)*2632\/(-3290)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h. Let y(z) = -z. Let t(s) = -2*u(s) - 18*y(s). Let r(d) be the second derivative of d**4\/12 - 14*d. Determine t(r(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4760 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 640, 666, 710, 772, 852, 950, 1066?\nAnswer: 1200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3052077 + -358?\nAnswer: 3051618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*p + p + 3*p)*(-19 + 25 + 71) - 7*p + 3*p + 3*p)*(-10*p**2 - 39 + 39) in the form g*p + m + f*p**3 + c*p**2 and give f.\nAnswer: -1530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71.831618 + 67.0315841. Let p = 2 + -6.8. Let u = p - l. Round u to six decimal places.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1377*h**2*n**3 + 501931294*h**2 + 61499*n**3 with respect to n.\nAnswer: -4131*h**2*n**2 + 184497*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 3*c + 4. Let f(s) = -s**2 + 8*s + 10. Let o be f(10). Let d = o + 14. Give x(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616794 is divided by 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -35*v**4 + 772481*v**3 + 88284*v**2 = 0.\nAnswer: -4\/35, 0, 22071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47732650 divided by 1909306.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 5 (b) 0.5 (c) -98.47 (d) -2 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24418 - -24419. Which is the nearest to 829? (a) 0.5 (b) 3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2))**(-37))**(-1\/36) assuming d is positive.\nAnswer: d**(-37\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-7)*(3 + (-30)\/9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*x - 5*t, -3*t = 5 + 1. Let q be (5\/(-15))\/((-1)\/(-9)). Sort q, x, 28 in decreasing order.\nAnswer: 28, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336099074 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -32. Let h = -194 - -193.3. Put 1\/2, i, -2, h in ascending order.\nAnswer: -2, h, 1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.3 less than 7004?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(44) - (sqrt(44) + sqrt(484)\/(sqrt(22)\/sqrt(2))))\/sqrt(4) + (sqrt(11) + 0 + 5 - ((sqrt(99)*-3)\/sqrt(9) + sqrt(11))**2).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-4\/5)*p*p*p)*p)**42\/(p*p\/p**(-14))**47 assuming p is positive.\nAnswer: p**(-3802\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = b + 2*r, 11 = b + r + 2. Solve -9 - 6 = b*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/4)*i**7*i)**(5\/4) assuming i is positive.\nAnswer: i**(175\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (0 + 12 + -21).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 2*u**2 - u. Let j be i(-2). Let q be 104\/(-154) - j\/11. Which is smaller: q or 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 575*s - 90270. What is o(157)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4347018520 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/(63\/2))\/((-4)\/(-21)). Sort w, -6, 2 in decreasing order.\nAnswer: 2, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 62*s. Let k(h) = -111*h**2 - 3*h. Determine k(v(z)).\nAnswer: -426684*z**2 - 186*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 190854 divided by -46?\nAnswer: -4149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 1. Let j(w) = w**3 - 8*w**2 - 2*w + 21. Let a(v) = j(v) + 2*z(v). Is 5 a factor of a(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240924 is divided by 48184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -772061 divided by -9.\nAnswer: 772061\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.026613 - 1.\nAnswer: -1.026613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/((-78)\/11338) - (-2)\/(-26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2744 and 5.2.\nAnswer: 14268.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 994635089, 994635090, 994635091?\nAnswer: 994635092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1150*m**4 - 15*m**2 + 14 + 26254*m - 26254*m + 3*m**2 wrt m?\nAnswer: 27600*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 3323070*n + 26584368.\nAnswer: 3*(n + 8)*(n + 1107682)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3415270 and 32222330?\nAnswer: 741113590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.24*-0.01.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -4037408 < -4037409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 + 47*m**2 - 23*m - 4. What is x(23)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -195 + 192. Sort -0.6, n, -1\/3.\nAnswer: n, -0.6, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxt when three letters picked without replacement from xqtqqqtfqqtxt.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -397?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2. Let z(a) be the first derivative of -25*a**4\/4 + a - 22. Let l be z(-1). Let h(v) = 51*v - l*v + 6*v**2 - 25*v. Calculate s(h(u)).\nAnswer: 36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -827.6\nAnswer: 827.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.160322 and -7.9098?\nAnswer: 6.749478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -55*y + 52*y + 2039, 3*y - 3*x = 2007. Suppose -5*s - 108 + y = 0. What are the prime factors of s?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 2*(-3)\/2. Let t = 0.6423 - -1.3577. Which is the biggest value? (a) t (b) z (c) 127\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21223 (base 4) to base 3.\nAnswer: -211221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 790135?\nAnswer: 5, 37, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*l = -227, 4*j - 74 = 2*j - 5*l. Let q = -29 + j. Let c(v) = -2*v - 3. What is the remainder when q is divided by c(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g - g**2 + 2*g)*(-g + g - 2*g) + (-382*g - 148*g - 918*g)*(-5 + 5 + 3*g**2) as h*g + j*g**2 + y*g**3 + x and give y.\nAnswer: -4342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.179 + 0.121. Suppose -136 = 3*r + r - 5*i, 2*r - 3*i = -70. Let d = 57\/2 + r. Put d, -4, y in increasing order.\nAnswer: -4, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16000 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + 70a?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2882*b + 38 = 2887*b - 2*z, -52 = 2*b + 4*z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-418)\/1848 - (5 - 111\/21).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.35, 2, -2\/15 in descending order.\nAnswer: 2, -2\/15, -0.35, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12003 = 3*b - 86997. Round b to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2471, 4906, 7343, 9782, 12223?\n\"Answer: p**2 + 2432*p + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = z - 1892, 0 = 10*f - 6*f + 4. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 38443089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Put -4, -250, -9, -3, 139 in decreasing order.\nAnswer: 139, -3, -4, -9, -250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-96)\/(-126))\/(-8)*3)\/2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 5. Let p be f(-9). Let b = -1 + p. Suppose -b*a = -3*l + a + 270, 0 = 3*l + 4*a - 294. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 591 or 7678\/13?\nAnswer: 591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7*d**2 + 7*d**2 - 5*d**2)*(7 - 2 + 1) + 7*d**2 - 2*d**2 + d**2)*(-1 - 4 + 0).\nAnswer: -300*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -17*a**4\/12 + 7*a**2 - 4*a - 13. Differentiate f(u) with respect to u.\nAnswer: -34*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 22317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, 10\/299, 5, -0.1?\nAnswer: 10\/299","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 815 a factor of 967091225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7697 and 3740563?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307260*k**2 + 307319*k**2 - 613076*k**2.\nAnswer: 1503*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 48 = -0*n + 3*n, -x = 0. Let l be (1 + -1)\/(n\/(-8)). Suppose 0 = -3*u + 5*z + 7, u - 5*z - 9 = l. Which is smaller: u or -4\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, d: 3, h: 1, f: 3, s: 1, o: 2}. Give prob of sequence dshp.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -636980436 plus 1.7?\nAnswer: -636980434.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -237109, -237108, -237107, -237106?\nAnswer: -237105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**6\/720 - w**4\/12 - 7*w**3\/6 + 23*w - 1. Let u(b) be the third derivative of v(b). Let l(n) = 54*n**2. Give l(u(h)).\nAnswer: 54*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -112, -8, 185, 5 in ascending order.\nAnswer: -112, -8, 5, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 80 times 3\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i = -16*i - 12. Let h(c) = c**2 - 2*c**2 + i*c**2 - 4*c**2. Let g(a) = 7*a**2. Give h(g(u)).\nAnswer: -98*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*d - 96*d + 16 = 0. Suppose 0 = -2*q + d*s + 62, -q - 4*s + 7 = -6. What is the remainder when q is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 6:00 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-3)\/2 + 2)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39086737?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkm when three letters picked without replacement from mkk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 6*k - 14)*(6 - 7 - 2)*(0*k**2 - k**2 + 2*k**2).\nAnswer: -18*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35196*b**4 + 4159*b**3 + 11782*b - 27363 wrt b?\nAnswer: 422352*b**2 + 24954*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -p - 2. Suppose 2*o = 0, y - 2*o = p*y - 6. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -378*t**2 + 380*t - 2 = 0?\nAnswer: 1\/189, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 9*w + 86, 1344*u - 1418*u - 542 = 3*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 68 = 4*p, -4*o + 761 = -p + 690 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.65785 centuries in millennia?\nAnswer: 7.365785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -272, -274, -276, -278, -280, -282?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k**2 - 14*k - 13. Let l be c(-1). Suppose w - 235 = -4*w + l*d, -4*d = 16. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - -0.4. Let z = 22 - 25. Which is the third biggest value? (a) u (b) -0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4 + -3 + -9.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 8 = 14. Let b(m) = 18*m**3 + 12*m**2 + 3*m - 9. Let v(h) = h**3 + h**2 - h + 1. Let u(l) = y*b(l) + 9*v(l). Factor u(d).\nAnswer: 3*d*(d + 1)*(9*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 + 60. Solve -4*y + 0*y = u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13514646 (base 7) in base 14?\nAnswer: 24cc26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5 + 39*h**4 + 110*h**3 + 72*h**2.\nAnswer: h**2*(h + 1)*(h + 2)*(h + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 137 - (253 - 119) - (17 - (0 + 1)) - 7.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -9*g**2. Let i(d) = 251604*d + 219310. Let a(j) = 241*j + 210. Let y(h) = -3133*a(h) + 3*i(h). Calculate n(y(l)).\nAnswer: -522729*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, p: 1, w: 3, d: 2, g: 1, x: 5}. What is prob of sequence dwxx?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.7014613 nanometers?\nAnswer: 0.0000000000007014613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283526*k - 37 = 283527*k + 3*v, 0 = k - 13*v + 53 for k.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*k + 110*k + 2*t = 221*k - 10, -t - 893 = -111*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-nine fifths of a tonne?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10247*v + 15165*v + 10553*v.\nAnswer: 35965*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*t + x + 3, 3*x - 6 = -3*t. Let r(n) = -n**3 + n**2 + 1. Let q(b) = 4*b**2 - 1. Calculate t*r(z) + q(z).\nAnswer: 2*z**3 + 2*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -22, 3.\nAnswer: -22, -6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from ooooooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1616331*0.2.\nAnswer: 323266.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + g - 2 = -1, 3*b - 4*g = -4. Let x be b - -162 - (-12 + 16). Let s = x - 3. Is 26 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -421*l - 316*l + 18*l - 387*l in the form c*l + q and give c.\nAnswer: -1106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 + 47. Suppose 3*m + 24 + 3 = 3*v, -m + 3 = 0. What is the remainder when -3 - w - (-21 + -25) is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105138 divided by 3.\nAnswer: -35046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/5)*x*x)**(1\/20)\/((x**(1\/9)\/x*x)\/x*x*x*x)**(-3\/7) assuming x is positive.\nAnswer: x**(1097\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.01 - 0.01. Let x = -1.2 + 0.2. Let k = 4 + -3.9. Which is the closest to x? (a) t (b) 0.2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131039 is divided by 201?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 13. Suppose 4*t + 0*t - 5*y = -21, 5*t + 22 = 2*y. Let o = t - a. Solve 2*c - 7*x + o*x = -8, x = -2*c + 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 4)*(4 - 1 - 4)*(1 + 5*i - 4 + 2).\nAnswer: -15*i + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -5)\/(-9)*(5 - 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 207 + 183 - 612 + 13*w**2 - 2*w**3 + 192 in the form a*w**3 + g*w + y + m*w**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 8 = -6*b. Solve -b*a = -a + 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -g**4\/12 + g. Let z(m) = 25*m**2 + 9*m + 18. Let q(h) = -6*h**2 - 2*h - 4. Let r(v) = 9*q(v) + 2*z(v). Give r(u(b)).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i + 8. Let n(a) = a - 18. Let m(r) = r - 9. Let k(o) = -5*m(o) + 2*n(o). Let y(d) = 3*k(d) - 4*v(d). Calculate y(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 - 1 + 1)*((0*i**3 - 2*i**3 + i**3)*(2 + 0 - 1) - 5*i**3 - 3*i**3 + 4*i**3) + (-i**4 + 3*i**4 + 0*i**4)*(2*i - 3*i - i).\nAnswer: i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3\/4 - 35841*f**2\/4 + 2213493*f\/4 - 34264455\/4.\nAnswer: 3*(f - 11885)*(f - 31)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 28877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -773*p**3 + 1073*p**2?\nAnswer: -4638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -944 + 633. Let n = v - -309. What is the nearest to n in -0.1, 3, 2\/37?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, z: 1, o: 2}. Give prob of sequence ztot.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u + 4. Suppose 0 = -2*p, 5*g - p + 47 - 12 = 0. Suppose 2*a + 4 = 0, -5*a = 5*x - 81 - 19. Calculate the smallest common multiple of h(g) and x.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -12*s - 307. Suppose 119 = -2*x + 67. Let z be a(x). Solve 2*h + 8*g + 4 = 9*g, z*h + g = 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 3*f**2 - 7*f - 1. Let q(v) = -v + 1. Let r(b) = 2*m(b) + 14*q(b). Let d(l) = -5*l**2 - l**2 + 4*l**2. Determine r(d(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) 0.0342 (c) -2\/45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/50217 and 34\/1197.\nAnswer: 1054557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 5:04 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 4*g + 19 + 10, g - 4 = v. Let w(s) = -s - 2. Let a(q) = 6*q + 9. Let r(c) = v*a(c) - 24*w(c). Differentiate r(o) wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.879332t?\nAnswer: 879.332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29503?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -11*s**3 + 9*s**2 - 8*s - 14. Let r(m) = -4*m**3 + 3*m**2 - 3*m - 5. Calculate 3*g(j) - 8*r(j).\nAnswer: -j**3 + 3*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -862298649 and -3.873.\nAnswer: -862298652.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 60*g**5\/11 + 120206*g**4\/11 + 531760*g**3\/11 + 51974*g**2\/11 = 0. Calculate g.\nAnswer: -1999, -13\/3, -1\/10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 m when three letters picked without replacement from {t: 2, d: 1, g: 1, m: 1, n: 2, u: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 806?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sszssssszzzstszsszt. Give prob of sequence stsz.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*v - 16 = 0, -8 = -2*v - 6. Let x = -14 - -16. Suppose -5*y - o + 23 = -3*o, -2*y + 8 = -x*o. Solve -5*s = 3*p + l, -y*p + 2*s - 5 = s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.299 in -1\/7, 2\/5, 1\/2, -3, 1\/769?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12878, 51528, 115944, 206126?\nAnswer: 322074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*o = 0. Let h be (-21)\/(-20) + (-1 - o). Let q = -17.41 - -17.21. Which is smaller: h or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111606121, 111606120, 111606119, 111606118?\nAnswer: 111606117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -641548 (base 11) in base 2?\nAnswer: -11111010101100101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1573541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111321100 - 1?\nAnswer: -111321101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 109741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*t**3 - 22105*t**2 + 2175145*t + 9272025.\nAnswer: 5*(t - 203)**2*(11*t + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/5 - (-12)\/(-30). Solve 8 = 2*c + n*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1915410062 to the power of 1\/4, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ilmigglmlllm. Give prob of sequence li.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/963 bigger than -449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2618b (base 12) to base 11.\nAnswer: 36156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ki when two letters picked without replacement from iikkkkiikiiiikkikk.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, -215, 11 in decreasing order.\nAnswer: 11, -5, -6, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/144*-5 + 4\/(-18). What is the fourth smallest value in w, 5, -11, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -84442\/2517 less than or equal to -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2 + 12*h + 383. Let z(o) = -7*o**2 - 30*o - 765. Give -5*t(b) - 2*z(b).\nAnswer: -b**2 - 385","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 15*x - 7. Let w be i(-16). Sort -5, w, 2 in descending order.\nAnswer: w, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + 0. Let s = w + -7. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25 + ab?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*b = 776*b - 290*b + 14555 for b.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.01 - -1.99. Let o = -0.0603 + 0.4603. What is the closest to b in 0.1, o, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 134227 = 24697. What are the prime factors of v?\nAnswer: 2, 3, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 0.101\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 o when two letters picked without replacement from {o: 1, i: 3, z: 3, v: 1, f: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 214555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 5*o**2 + 2*o. Let w(n) = 4*n + 7*n**2 - 3*n - 4*n**3 - 5*n**2. Let x be w(-1). What is the common denominator of g(x) and 121\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (827\/(-28) + (-24)\/(-84))*-16.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, e: 1, k: 11, o: 2}. What is prob of picking 1 d, 1 e, and 2 k?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o + 1 + 0 + 3. Calculate the remainder when 8 is divided by u(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 93*x**2 - 246*x + 127. Calculate f(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.17*1.36.\nAnswer: -0.2312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2800 - 2789. Suppose -f = 5*j - 66, 0 = -4*j + 2*f - 0*f + 50. Let v = j - 9. Solve 2*h - 22 = 3*b, v*b - h + z = -10 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1336759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 35\/(-21) + (1 - 4\/12). Let p = -2.5 + 5. Let n = -3 + p. Put -1\/4, s, n in increasing order.\nAnswer: s, n, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**2*h**3*s**2 - c**2*h**2*s**3 + 2*c**2*h - c*h**3*s**3 - 16*h**2*s**3 wrt h.\nAnswer: -6*c**2*s**2 - 6*c*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**3 + 5*g**2 - 5*g. Suppose -2 = 5*d - 12. Let t be (-5)\/5*(d + 1). Let q(a) = a**3 - 4*a**2 + 4*a. Determine t*q(j) - 2*k(j).\nAnswer: j**3 + 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-3 + 2 - (9 + -8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1282 times -1903?\nAnswer: 2439646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 100*q - 29 + 99*q)*(0 - 322*q**2 + 113*q**2 + 0) in the form z + x*q**2 + r*q**3 + y*q and give r.\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 9*k - 5*k. Suppose c = -2*b + 63, -2*b + 4*b - 54 = -4*c. Calculate the greatest common factor of b and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 8*g + 11. Let t(k) = 27*k + 75. Let l(c) = -7*c - 18. Let z(d) = -9*l(d) - 2*t(d). Let s(u) = -7*b(u) + 6*z(u). What is s(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1539218.\nAnswer: 2, 269, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t**2 + t**2 - 4*t**2)*(0*t - 4*t + 3*t) - 30*t + 3099*t**3 - 8*t - 3080*t**3 in the form c + d*t**2 + h*t**3 + r*t and give r.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -120 + 55. Let f = -22 - v. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -6*j - 54. Suppose 0*b + b = -j. Does 11 divide -4 + 3\/(-2)*1062\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 6 + s - 4*s)*(-1 + 1 - 2*s) to the form t + j*s + x*s**2 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 111370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, i: 6}. Give prob of picking 3 i.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - t. Let m be n(-4). Let u = m + 30. Suppose 0 = 5*z - 4*h - u, 8*z = 3*z - h + 25. What is the lowest common multiple of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 7*g**2 - 6. Let z be (3\/6*-8)\/1. Let b(c) = 3*c**2 + 4*c - 3. Let w(p) = 4*p**2 + 5*p - 4. Let s(n) = z*w(n) + 5*b(n). Give -30*s(y) - 5*t(y).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 3*u**2 - 2*u - 1. Let n be l(-4). Let q = 0 - n. Solve -5*o - 6 = q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 21 = 3*s - 23, 0 = y - 5. Let v be (-2)\/5 + (-21)\/(-15). Which is the third biggest value? (a) -7 (b) v (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -130\/6447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 764.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103064, 206117, 309168, 412217, 515264, 618309, 721352?\nAnswer: 824393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(64)*-2)\/sqrt(4))\/(sqrt(8) - 1*sqrt(800))*6)**2 - (-4 + sqrt(40)\/(sqrt(5) + sqrt(5)*2)*-5).\nAnswer: 10*sqrt(2)\/3 + 68\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 353601*n**2 - n + n - 356532*n**2 in the form m*n**2 + x + h*n and give m.\nAnswer: -2931","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-4)*2)\/((-867)\/(-68)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 3 (c) 2590 (d) -265 (e) -0.5 (f) 1\/5 (g) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 6272 = -3*v, -5702 = -5*v - 3*k + 4802. What is the remainder when v is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i - 2 - 3*i + i - 3. Let l(g) = -5*g - 4. Let b(v) = -5*l(v) + 4*q(v). Give b(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/19 (b) -259906 (c) -0.5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 4*a + 5 - 3, 0 = -2*r + 5*a + 9. Let z(j) = 5*j + 1 - 5*j + r*j. Let m be ((-4)\/10)\/((-2)\/10). Give z(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1241, -2579, -3917?\nAnswer: -5255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.3*-17.\nAnswer: -39.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 minus -23?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47.8 + -43. Let s = 5 - d. Let n be 70\/20*16\/(-28). Which is the second biggest value? (a) s (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 3*z**6\/10 + z**4\/12 - 2*z**3\/3 + 9*z**2 - 188*z. What is the second derivative of j(p) wrt p?\nAnswer: 108*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 5 + -1 + (-13 - -4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 3. Let b be w(-6). Suppose -b*j = 2*j. Suppose j = -2*r + 4*x - 4, -r - 5*x + 12 = 0. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 3*p**2 - 10*p - 2. Let o(i) = i**3 - 2*i**2 + 9*i + 2. Suppose -2*h - 6 = 99*y - 101*y, 0 = 5*y + 3*h - 15. Determine y*o(x) + 2*a(x).\nAnswer: x**3 + 7*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -2 + 8\/(-5). Let c = -2 - -1. Let m = -1.1 + 1. What is the biggest value in j, m, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*f + 8165 + 1142 = 0 for f.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 0.1, -3, 221, 0.4, -2\/27?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 115 - -142?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 + 0*s**2 - 8*s**2 + s**2 - 6*s**2.\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y + y - 3*y - 104*y - 88*y + 179*y - 7 + 7 + 9*y + (3*y + 0*y - y)*(2 - 3 - 1) - 3 + 3 + y to s*y + i and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*c = 24*c + 216. Suppose -4*h + 231 = -5*l, 0 = h - l - 5 - c. Is h a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18865*q**3 + 19154*q**3 - 37984*q**3.\nAnswer: 35*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(24\/4)*(-80)\/24.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f**3 + 2*f - 11. Let k(x) = -x**2 - 32*x - 47. Let w be k(-30). Let q(s) = -2*s**3 + s - 5. What is w*q(p) - 6*c(p)?\nAnswer: -2*p**3 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + (-1 - -25)\/4. Solve -d - 2 = y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - 7*(1 - 5\/((-175)\/(-5))).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**2*v + 196871581*l**2 - 17*l*v + 2*l - 63*v + 2546 wrt l?\nAnswer: -4*v + 393743162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1)\/t*t*t)\/(t*t\/(t**(1\/2)\/t))*((t\/(t\/((t**(-1\/2)*t)\/t)))\/t)\/(((t\/t**6*t)\/t)\/t) assuming t is positive.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 21*d + 107. Let u be w(-5). Let s(j) = -3*j - 1. Let v be s(-1). Let x(k) = 7*k**u - 10*k**2 - 28*k**v. Let f(q) = -3*q**2. Calculate x(f(z)).\nAnswer: -279*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 25*b**2 - 27*b - 22. What is the remainder when 46 is divided by x(-26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/17852 and 29\/200835.\nAnswer: 803340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 33. Suppose 5*u - o = d*o + 2334, -4*o - 454 = -u. What is the common denominator of ((-1)\/(-11))\/((-10)\/u) and -55\/27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 85, 0, -4, -42, -0.1, 1\/6, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 11 = -10*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 237 + -237. Which is the nearest to j? (a) 1 (b) 5 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*z = 27*z + 171626. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*j - 87*j + 263*j - 84*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1524\/(-1143)*(22\/(-121) + (-3118)\/(-88))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) 0.3 (c) -4 (d) -7 (e) 34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 178*x + 84*x - 1463*x + 51643 for x.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 504 and 857556?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyxsm. What is prob of sequence my?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1676373*g**4*m*x - 2*g**4*x + 137*g**2*m + 13337*m*x wrt g.\nAnswer: 40232952*g*m*x - 48*g*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l**2 + 8*l**2 - 2*l**3 + 3*l + 24*l**2 - 2*l in the form u*l**3 + a + z*l**2 + y*l and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 divided by 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - (sqrt(152) + -4*-1*sqrt(152) + sqrt(152)))\/(sqrt(3584)\/sqrt(7)))**2.\nAnswer: 475\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*g**2 - 17*g**2 - 17*g**2 - 41*g**2 + 20*g**2 - 153*g**2 + 0*g**2 + 3*g**2 - 4*g**2 + (-2*g - g + 2*g)*(g - 3*g + g) - 2*g + 2*g + g**2.\nAnswer: -184*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 233249628?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1213 + 1213.3. What is the closest to -3 in a, -0.3, 2\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2828053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 2*g**2 - g**2)*(g - 4*g + 0*g)*(48*g - 18 - 76*g + 7).\nAnswer: 168*g**4 + 66*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t = 9. Let d = -6 - -9. Suppose -2 - 1 = -d*x. Solve -t*w + x = 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89, 3, 1, 0, -1 in decreasing order.\nAnswer: 89, 3, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -466*i - 638 = -488*i. What is the smallest common multiple of i and 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9553 is divided by 147?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2 + 65*w + 138. Let h(n) = 5*n**2 - 197*n - 414. Let y(b) = -3*h(b) - 8*p(b). Factor y(v).\nAnswer: (v + 2)*(v + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/3))**(-8\/9)\/(a**(-2\/11)\/(a*(a*a**(-3)*a)\/a))*(((a*a\/(a\/(a\/a**(2\/5))))\/a)**37)**(10\/9) assuming a is positive.\nAnswer: a**(7259\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2 - 434 = -3*l, 0 = l + 4*x - 147. Calculate the remainder when l is divided by ((-29)\/(-2))\/(1\/2).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(3 - 2)*-1. Let a be (-2 + 3)\/(k\/(-66)). Is (-4)\/a + (-456)\/(-33) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 5) + (-65 - -66).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + 2*sqrt(119))*-2)\/(sqrt(175) - -2*sqrt(175) - sqrt(7)).\nAnswer: -3*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 15405671.\nAnswer: -1\/15405671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 8*u**2 - 7*u - 5. Let r be o(7). Suppose 3*x + 6 = 5*x. Suppose -3*m - 3 = -x*g, 4 = m + 5*g + 29. Is r at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -331 = -4*f - 59. Let b be 4 + 0 - 76\/2. Let d = f + b. What are the prime factors of d?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5*i**2 - i + 1. Let c be q(1). Let a = 15 + -9. Let n(y) = y - 6. Let g be n(a). Put 3, g, c in increasing order.\nAnswer: c, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k**2 - 12*k**2 + 10*k**2 + 2 + (-4*k + k + k)*(k + 3*k - 2*k) in the form r + v*k + g*k**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*g + 464 = -4*v, g = -2*v + 212. Calculate the remainder when g is divided by 67.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 65.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 523049*g = -2*y + 523047*g - 6, 0 = y + 5*g - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 l when three letters picked without replacement from {w: 1, g: 6, l: 6, k: 6}.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(-7) + (-5)\/(-1). Let r be (q\/(-5))\/((-4)\/10). Let d(o) be the first derivative of -o**4\/2 + 4*o**3\/3 - 2*o**2 + 3*o - 4. Determine d(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 31*a**2 + 33*a + 21. Let v = 4659 - 4691. Give f(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 14*d - 5 - 18*d)*(-128 - 453 + 888) + 2*d - d + 2*d.\nAnswer: -1225*d - 614","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 9:14 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.008 - -0.042. Is 1 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**5\/5 - 8457*v**4\/5 + 23553*v**3 + 25245*v**2 = 0. Calculate v.\nAnswer: -1, 0, 15, 2805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/2*(-4)\/2. Let g(n) be the first derivative of -2*n**3\/3 - n**2 + 2*n - 35. Let k be g(u). Let j(q) = 4*q**2 + q - 1. Determine j(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-21)\/(-3)*((-577)\/(-1))\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 7*h**2 + 3. Let z = 5 + -12. Let g be a(z). Suppose 0 = -n + 4*n. Put -4, g, n in descending order.\nAnswer: g, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 10*g - 5. Let h be a(10). Let y(t) = -t**3 - 5*t**2 + t - 7. Let p be y(h). Let c = p - -14. Solve 5 = -c*j - 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -72 - -71 - (1 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.27 + -7.27. Let m = -3.4 - -3. Let q = 0 - m. What is the nearest to q in 5, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*x, 0*x = -3*l - 2*x - 4. Let b(r) be the second derivative of -1\/3*r**3 + 0 + r**l + r. Differentiate b(t) with respect to t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*r - i = -160*r + 257, 4*r = -2*i + 346. What is the remainder when 101 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -298 or -278?\nAnswer: -298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 162*i**4 + 30*i + 12 wrt i?\nAnswer: 1944*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s + 41. Let g be d(-9). Suppose -g*b = 5*w - 1375, 3*w + 5*b - 325 = 502. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10954, 43816, 98592, 175282, 273886, 394404, 536836?\nAnswer: 701182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1232\/(-168) - 4\/6. What is the hundreds digit of 857 - -30 - (h + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59909968273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**2 + 30*k + 72 = 0.\nAnswer: -6, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (85\/(-9) + 9)\/(2\/(-6)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1295903, 2591796, 3887695, 5183600, 6479511?\nAnswer: 7775428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k*u**2 - 576*k*u + 4*k - 9*u - 40627 wrt u?\nAnswer: -4*k*u - 576*k - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13209.9292 - 127.269.\nAnswer: -13337.1982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - p = -9 + 2, p = -5*h + 19. Solve -38 = h*s - 46 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 60 - -1?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*r = 3*f + 3, 2*f - 14 = 2*r. Suppose 0 = -2*q + 3*v + 94, f*q - 69 = -v + 91. What are the prime factors of q?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98 and 1918?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 7*k + 17. Let w be u(6). Let y = w - 20. Does 33 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3 + (3 + -3*(sqrt(1584) + 1)*-5*1)*-1)**2.\nAnswer: 4680*sqrt(11) + 356569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -7538000 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 294*k - 305*k + 176. What are the prime factors of (k + 5)\/7 + 1593?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -903, 2606, 12311, 31368, 62933, 110162, 176211, 264236?\nAnswer: 377393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 2:10 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -284, -315, -286, -167, 72, 461?\n\"Answer: 5*g**3 - 66*g - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 195435 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) -1\/4 (b) 0.1 (c) 3\/110 (d) 4 (e) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 89937 and 5126409.\nAnswer: 5126409","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*q = -256 + 556 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47090 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1204 and 287.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 10\/(-35))\/(23 + (-13655)\/595).\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.064 + 12.964. Round c to 0 decimal places.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*o**3*v**3 - 16*o**3*v + 8*o**2*v**2 - 46*v**3 wrt v.\nAnswer: 42*o**3 - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 337.587 rounded to zero decimal places?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6793 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4835800753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1401, -3022, -4627, -6204, -7741?\n\"Answer: 2*x**3 - 4*x**2 - 1623*x + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3244110 - -5?\nAnswer: -3244101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6*g + 57. Let k be n(11). Let u = k + -115. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t + 4 = 14*t. Let d be 27\/(-18)*1*t. Let x(n) = n**3 + 3*n**2 + 2*n - 2. Give x(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40*3\/(-9)*525\/(-350).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1804 + -1800. Solve 79*r - 81*r + 2 = -f, 0 = -5*r - b*f + 31 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -35.\nAnswer: -35, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3226233 (base 8) to base 7\nAnswer: -10224110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 198 and 385734?\nAnswer: 12729222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrrrrrrrrrprrr. What is prob of sequence prrr?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 plus -0.04938235707759?\nAnswer: -0.15938235707759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201892 is divided by 33529.\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -203, -386, -879, -1838, -3419, -5778, -9071, -13454?\nAnswer: -19083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*y + 59 - 10, 72 = -3*y - 2*m. Find the common denominator of (-41)\/(-18) - 5\/5 and ((-2)\/(-6))\/(y\/(-273)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-90)*-6*(-30)\/42.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/9 - 35\/(3465\/22). Solve -22 + 14 = q - a, j*q = -a - 7 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 7, -34, 3, -2\/7, -178?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -139*c - 124*c - 3626 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -833 + 387. Let u be ((-4)\/(-6))\/(8\/(-5564)). Let l = y - u. Find the common denominator of -41\/6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 454464.2 nanograms?\nAnswer: 0.0000004544642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -35667, -43818, -51993, -60204, -68463, -76782, -85173, -93648?\n\"Answer: -2*t**3 - 8137*t - 27528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4711296 = -5*q. Let f = q - -9442737\/8. Let p = f - 2515. Calculate the common denominator of p and -101\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of 271*o**6\/120 - o**4\/12 - 745*o**3\/6 - 2*o**2 + 414*o + 2. What is the second derivative of a(z) wrt z?\nAnswer: 1626*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/264 and 58\/15477.\nAnswer: 123816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1760090?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 5:17 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 + 22*o + 42. Calculate j(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p - 2. Let b(x) = -3*x + 3. Let d(z) = 4*b(z) + 3*n(z). Let k be d(10). Let f be 3 + 4\/(-8)*k. Solve -5*g + 0 = f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s + 65 - 53 = -28 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + t + 2*w - 4 = 0, 4*t = 3*w + 1. Let z be (-189)\/(-77) - (t + 0 + 5). Sort z, -3\/5, -5 in ascending order.\nAnswer: -5, -3\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2922547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25347851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 21 = -h - 1, o = -h. Suppose 4*p - h*l = 649, 3*l + 2 + 1 = 0. What is the remainder when p is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 187 - 187.7. What is the closest to x in -3\/7, 5\/3, 0.1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) -4 (c) -0.5 (d) -1\/35 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-4))\/1*3. Let k = 12 + d. What is the remainder when 34 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1114 - -1118. Let p(w) = -2*w**3 + 2*w + 2. Let t(c) = -5*c**3 + 4*c + 4. What is k*t(z) - 9*p(z)?\nAnswer: -2*z**3 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2793*j**6 + 4*j**5 - 2*j**3 + 1208092*j**2.\nAnswer: 335160*j**3 + 240*j**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 12 = -2*o, 5*i - 3*o + 16 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -250 divided by 50?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*5\/(-10)*4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mttf when four letters picked without replacement from ftbnmnrmnmtfmfnbbbbm.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97 - -188. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*l - 6, 4*l = -3*k + 8*l + 23. Solve -4 = 3*t + k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.18929*2\nAnswer: -6.37858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1774 - -0.1774. What is the closest to 1 in 5, m, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 17*d = 100. Let p be 2\/(-7) + 144\/14. Calculate the highest common factor of d and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3184559 + 746.71.\nAnswer: 3185305.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 874, 970, 1042, 1090, 1114, 1114?\nAnswer: 1090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -45*b**2 + 27*b + 3. Let g(m) = -46*m**2 + 27*m + 4. Let x(l) = 3*g(l) - 4*p(l). Let n(f) = 6*f**2 - 4*f. Calculate -27*n(a) + 4*x(a).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 423 + -412. What is the highest common divisor of i and 1243?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - j**2 + j + 16. Suppose -i + 4*i - 18 = 0. Let z = 6 - i. Let v be h(z). Solve -r = 3*r - v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -5, -6, -4659, -4, -2 in descending order.\nAnswer: -2, -4, -5, -6, -19, -4659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 6 = 6*h, 5*h + 39*m - 40*m + 3 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, 203, 305, 407, 509?\nAnswer: 611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/12716795 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -293 + -437. Let n be (36\/24)\/(6\/o). Let w = n - -197. Calculate the common denominator of -1\/14 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 218468 and 44?\nAnswer: 2403148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/39)*(z**(-15)\/z*z)\/z)**(2\/51))**(-45) assuming z is positive.\nAnswer: z**(6250\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -56*d**2 - 7*d + 688. Give p(8).\nAnswer: -2952","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127000 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-3) - (-2 - -4). Let d be m - (0 + 18)\/(-3). What is the greatest common divisor of d and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (3 + -5 - (49 + -55))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -108.5 + 99.50004. Let j = 9 + l. What is j rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 223.6 - 223.4. Let t = 13.3 + -23.3. Sort l, -3, t in ascending order.\nAnswer: t, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4 - 3338*w**5 + 2*w - 5*w + 3324*w**5 + 2*w**4 wrt w.\nAnswer: -280*w**3 + 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (942\/1256)\/(2\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 537884.9 millennia in months?\nAnswer: 6454618800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 4*l**2 + l + 1. Let d be c(3). Let h(k) = -1 - 7*k - 2*k**2 + 2 + 3 - 3. Determine h(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 282*y - 252*y + 3 + 1.\nAnswer: 30*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*p**2 + 5 + 280*p**2 - 2.\nAnswer: 166*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -270*q + 2695. Let b be g(10). What is the biggest value in 18, 0.2, -0.5, b, 4?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = -5*j + 3*z + 65, 0 = 5*j + 4*z - 64. Calculate the greatest common divisor of 18 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8526247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/30 and -23\/87?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - -18. Solve 2*p - 5*s + m = 0, 3*s + s - 20 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-5\/4)\/m)\/(m*m*m\/m**(-7\/4)))**(6\/17) assuming m is positive.\nAnswer: m**(-42\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 31*y - 32*y + 19*c, -4*c + 0 - 1 + 9 = 0 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -197, -318, -441, -566, -693?\nAnswer: -822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*q + 58*q - 14*q - 117*q.\nAnswer: -21*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/8)\/(4\/(-112)). Suppose -3*n + 2*n + 73 = -5*d, 2*d = -3*n + 151. Let v = 158 - n. Calculate the greatest common divisor of v and a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*h**3*k + 1473952*h**3 - 112*h*k + 30*k wrt k.\nAnswer: 3*h**3 - 112*h + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(2299) + 4)**2.\nAnswer: -1056*sqrt(19) + 331072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 409 - 12*w - 409 + (3 - 4 + 0)*(-27*w + 25*w - 16*w) as u + r*w and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + s - 12. Let h be d(-5). Let x = h - 36. List the prime factors of ((-14)\/(-42))\/((-1)\/x).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 10*q + 44. Let i be d(-14). Let y be (-40)\/5*6\/i. Let b be ((-1)\/2)\/(3\/(-6)). Which is bigger: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/9))**(3\/7)\/(g**5\/((g\/g**(-2))\/g)) assuming g is positive.\nAnswer: g**(-65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 10. Let a(v) = -4*v**3 + v**2. Let t be a(s). Solve -t*c = 20, -2*l + 3*c = -11 - 9 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by -7.\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1430 - -1437. Calculate the remainder when x is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114*-28571\nAnswer: -3257094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -91.402639 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3712 - 2395. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-6)*(-1 + 1). Suppose g = f - 3*f + 10. Suppose f*q - 19 - 1 = 0. Solve -5*u + 15 = -2*m, -q*m - 3 = u + 16 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 308761745?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101012011 (base 3) to base 14.\nAnswer: 29c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-10 + 10)) + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 7*s**3 + s**2 + s - 1. Let n be o(1). Let p be -3*3\/((-18)\/10). Suppose p*i = 17 + n. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56315, -112652, -169007, -225380, -281771?\nAnswer: -338180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**4\/8 + f**3 - 3*f**2 + 28*f. Factor u(k).\nAnswer: -3*(k - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 59. Let w be r(0). Suppose 3*g - w = -4*u, 0 = 5*g - 3*u - 50. What is the common denominator of -63\/10 and 2 + -5 + g\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -4. Suppose 2*u + 74 = n*h, u = -h - h + 26. What is the remainder when h is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + o + 20, 4*d - 6*o = -3*o - 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 2 = 0, 0*t + 3*t - 19 = 5*w for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-14)\/c)\/c*(c**(-23\/3)\/c)\/c)\/(c**4)**(2\/9) assuming c is positive.\nAnswer: c**(-239\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 2:23 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1588580 and 30380.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1128110834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -4 - -2) + (40 + 21 + -34 - -65).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -20\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*o + 8 = 0. Let i = o + 4. Round i to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11\/50 - 61\/300. Let o(v) be the third derivative of 0*v**4 + s*v**6 - 3*v**2 + 0*v + 0 + 0*v**5 + 2\/3*v**3. Differentiate o(a) with respect to a.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-180)\/63)\/5)\/(8\/28*-43).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5*2*((6*(-1 + sqrt(425))*-5)**2 + 3))*-5.\nAnswer: -19170150 + 450000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 1498862664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 3:44 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -2 - -4 - 12\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -0.1. Let d be (-45)\/2*((-64)\/24 - -2). Let v be 198\/33*(-1)\/d. Sort z, v, 4, 0 in increasing order.\nAnswer: v, z, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - -1. Let f = j + -9. What is the greatest common factor of f and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2147 + 118082\/55. Is -1 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(1*1\/(-12)). Suppose 0 = 10*q - 760 + 720. What is the highest common factor of k and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x - 18. Let k be s(5). Let p(z) be the first derivative of 2\/25*z**5 + 0*z + 1\/10*z**k + 3 - 1\/30*z**6 + 0*z**4 - 2\/15*z**3. Factor p(w).\nAnswer: -w*(w - 1)**3*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -589219524 divided by 312252?\nAnswer: -1887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -182654 * 2.87.\nAnswer: -524216.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 331115343 - 12?\nAnswer: 331115331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (160\/192)\/(1\/6)*(-48)\/(-12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*s - 1. Let l = 8 + s. Calculate the smallest common multiple of 11 and l.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 1:44 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 16483.\nAnswer: -2\/16483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -35135.925 to the nearest 10.\nAnswer: -35140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-2))\/(5\/10). Suppose -b*s + 11 = -8*d + 13*d, -3 = -3*d. Solve -h + 4*z + 13 = 0, 2 = s*h + z - 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 4079115 to the power of 1\/3, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -364*r - 25. Let j be f(-16). Suppose 19*w - j = 585. Is w a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3*y**3 + 2*y**3 + 0 + 5*y - 2*y**2 + 3*y to the form s*y + q*y**2 + a + x*y**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 14*j**2 + 18*j**2 - 12 + 3*j to c*j + w + a*j**2 and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, x: 4}. What is prob of sequence ffx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 8\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 666*j**2 - 108*j + 956. Let v be p(9). Round v to the nearest one thousand.\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sgss when four letters picked without replacement from {g: 2, s: 6}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i**2 + 3*i**2 + 1 - i**2 - 5*i**2 to a*i + s*i**2 + c and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1620, -2479, -3780, -5523, -7708, -10335?\n\"Answer: -221*x**2 - 196*x - 1203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 3 = f. Suppose -149 = -4*v - f*y, 278 - 93 = 5*v + 5*y. Calculate the remainder when 107 is divided by v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -125.8573 from -257336.\nAnswer: -257210.1427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12676 + -12674. Solve c*w - 6*w + 3*f = 1, -3*f = 4*w + 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4712 - -4705. Sort 0.8, -0.8, y.\nAnswer: y, -0.8, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -507333 and 1?\nAnswer: -507333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128986106 is divided by 90?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1181*g**2 - 411*g**2 - 2*g**4 - g + 1 + 13*g - 10*g + 647*g**2 to b*g**4 + n + y*g + v*g**3 + q*g**2 and give q.\nAnswer: 1417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/(19\/(-513))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5011.\nAnswer: 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -5. Suppose 3*l + 0*l - 2 = 2*o, -5*o = 5. Sort l, s, -4.\nAnswer: -4, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/890 and 59\/232735?\nAnswer: 465470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/(-3068)*(-8)\/(-6).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 m when three letters picked without replacement from {f: 5, k: 6, s: 1, m: 6}.\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*k - 30. Solve -k = -2*h, -3*j - h = j - 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a gram in milligrams?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1222*((-123)\/42 + (-33)\/(-77)).\nAnswer: 5, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnyn when four letters picked without replacement from {q: 9, y: 2, n: 8}?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1065 divide 1004753708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*b + 33 = -36, a - 15 = -5*b. Let f be (-291)\/(-9) + 8\/12. Suppose 4*m - 19 - f = 0. What is the remainder when a is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*g + 10 = 32*g. Put 2, g, -1 in ascending order.\nAnswer: -1, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1659 - -1658.995. What is the third biggest value in v, 0, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*1)\/(1740\/(-132) - 2\/(-11))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 5*n - 1. Let c be m(-6). Suppose 4 = -4*r + c*r. Solve 0*j + 6 = 2*j + 2*t, 3*t - r = -2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**2 - 6*x + 48 + 7*x - 23*x = 0?\nAnswer: 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - 2. Let q be (-4)\/18 - 11\/g. Let r be ((-2)\/(-15))\/(24\/(-15)). Are q and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -12 + 10 - -7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 656 and 574.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2017 * -0.0326\nAnswer: 65.7542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) 4 (c) -2\/13 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 3*o**2 + 11*o + 7. Let m be u(-5). Let r be 6 + (-3 - m) - (-2)\/(-4). Factor 3*b**3 + 0 + 1\/2*b**5 - 2*b**2 - 2*b**4 + r*b.\nAnswer: b*(b - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*g + 60. Let j = g + 9. Let c = 5 + j. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12112592, -12112593, -12112594, -12112595, -12112596?\n\"Answer: -o - 12112591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2694*y**4 + 2*y**3 + 7009*y wrt y.\nAnswer: 32328*y**2 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 622, 4, 3, -1.6, -4\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 10*p**2 + 110*p - 1028. Determine d(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 6:33 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 5) to base 15.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 43470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 - 45. Suppose n = -28*a + 1201 + 1319. Is a a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 65?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302022 is divided by 50328?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 81.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, n: 1, m: 1}. Give prob of sequence wm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2478 in -5, 5, 2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -y + 6*y - 3*l, 0 = y + 4*l - 17 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79330682 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 14. Let b = 0 + 0. Let f = 0.9099 - 1.0099. What is the nearest to 0 in f, b, j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0.1, 3, 2, -1600 in ascending order.\nAnswer: -1600, -10, 0.1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 12, 0, 6742?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + j - 10. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 9:41 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -6*f - 11 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/11 and -18\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence poop when four letters picked without replacement from {o: 2, p: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 12:49 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -5, -3, -87 in decreasing order.\nAnswer: 0, -1, -3, -5, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5360*f**4 + 7359*f**2 + 3*f + 3. Let i(h) = 3*h**4 - 4*h**2 - h - 1. Let z(s) = -3*i(s) - o(s). What is the third derivative of z(q) wrt q?\nAnswer: -128856*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a hour in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 24 (b) 0.5 (c) 5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2667474*g + 2. Let n be a(2). Let d = n + 3427379. Let w = d - -5507567. Round w to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -1580.4\nAnswer: 316.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.17 (b) -1\/16 (c) 0.009\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 24695*x. Let m(c) = -15*c + 17. Calculate m(h(o)).\nAnswer: -370425*o + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5113 + 7437. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406 is divided by 83?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - (3 - 3))\/(3\/(-33)). What are the prime factors of 18\/99 + (-1252)\/c?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 8*u + 4. Let g be y(-8). Suppose g*k - 15 = -3. Is k bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 0*h**4 + 0*h**5 + 0*h**6 + 0 + 16\/21*h**7 + 1\/2*h**3 - 1\/2*h**2 + 13*h. What is the second derivative of f(u) wrt u?\nAnswer: 640*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-55*d**2 + 71*d**2 - 45*d**2)*(d + 2*d - d)*(-d + 0*d + 0*d) in the form i*d**2 + g*d + z*d**4 + r*d**3 + y and give z.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(-15) - -1)*5\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(15) - sqrt(60)\/sqrt(4))\/sqrt(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 - -6)*(1 + 2)*2. Let u(k) = 5*k + 0 + 3 + k. Let s(r) = -5*r - 2. Let h(y) = w*u(y) - 9*s(y). What is h(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-12))**(-17\/5)*x**(-9)\/x*x*x**(-3) assuming x is positive.\nAnswer: x**(127\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2735971 a multiple of 685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -5\/7, 0.051, 0.5, 0.3, -6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2030 + -10?\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j + 190 = 25. Let z = j + -11. Solve h - 4 = -2*t, -2*t - 4*h = -z + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = l - 30, 3 = -3*m - 4*l + 19 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2 + (sqrt(475) - (sqrt(475) - (2 + sqrt(475)))) + -1 + -6*(sqrt(475)*1 + sqrt(475) + sqrt(475) - sqrt(475))*1)**2.\nAnswer: -770*sqrt(19) + 57524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 85, 158, 219, 262, 281, 270, 223?\n\"Answer: -w**3 + 80*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 0*u - 6*u**2 + 0*u**3 + 0*u**5 - 1\/90*u**6 - 1\/945*u**7 + 0*u**4 - 4. Factor h(g).\nAnswer: -2*g**3*(g + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -237.02 + -1.98. Let u = -4501.9 - -4253. Let v = u - l. Round v to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c + 2230?\nAnswer: 2224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 5*z. Suppose z = -3*m + 5*j, -2*m + 2*j = 3*m. Let n(r) = -26*r - 152. Let b be n(-6). Solve 8 = -b*x - m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**4\/12 - 2*q**3\/3 + q**2\/2 - 5*q. Calculate f(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14769*c*n**2*q - 1047*c*n*q + 2*c*n + 4*c*q + 2*n**2*q + 193*n**2 - 9*n*q - 1 wrt n.\nAnswer: -29538*c*q + 4*q + 386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0)**16)**23 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/102072648 and 81\/170121080?\nAnswer: 510363240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2016) - (sqrt(2016) - sqrt(2016)*2))*-5)\/((sqrt(128) - (sqrt(128) - 2*sqrt(128)))*5).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*((y**0*y*y)\/y)\/y)**40\/((y*y\/y**(-2))\/y*y**(-1)) assuming y is positive.\nAnswer: y**78","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 7:30 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -11982?\nAnswer: 11981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 5:23 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -27, 38, 191, 432?\n\"Answer: 44*t**2 - 67*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + -32. Let r = x + 6. Solve 0 = 4*w - 4 - r, 5 = -5*u - 5*w for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -28.6, 4, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86210?\nAnswer: 2, 5, 37, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(sqrt(968)*3 - sqrt(8)))\/((sqrt(243) - sqrt(243)*2 - sqrt(243))*5).\nAnswer: -sqrt(11)\/2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-1\/6))\/(s**(2\/13)\/s*s)*(s*(s*s*(s\/s**4)\/s)\/s)\/(s\/((s*s**(-9))\/s)*s*s))**(-2\/17) assuming s is positive.\nAnswer: s**(1013\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/4 + 153*r\/2 + 14227\/4.\nAnswer: -(r - 347)*(r + 41)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x - 17*x + 22 = 4*d, 0 = 3*x + 9. Factor 2\/7*s**d + 0 - 26\/7*s**3 - 22\/7*s + 46\/7*s**2.\nAnswer: 2*s*(s - 11)*(s - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 10*h. Let b(x) be the first derivative of -x**3\/2 + 56*x + 138. Let g(l) be the first derivative of b(l). Give g(i(u)).\nAnswer: -30*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 1.34.\nAnswer: -0.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 2*y**2 + 0*y)*(-y - y + 0*y)*(19 + 13 - 27 - 7*y) + 3 - 3 + 2*y**4 + (-y**3 + 0*y**3 + 2*y**3)*(-3*y + 5*y - y) + 8*y**4 - 4*y**2 + 4*y**2.\nAnswer: 39*y**4 - 20*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -4*p**2\/3 - 24632*p\/3 - 98464\/3 = 0?\nAnswer: -6154, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + 0*t**2 - t**2)*((-6 + 3 + 2)*(-4 + 2 + 4) - 3 + 2 + 2 + 0 - 2 + 4 + (1 + 0 + 0)*(-12 + 7 - 1) + 0 - 3 + 5)*(-2*t - t**2 + 2*t).\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2668 - 2668 - 51*l + 0*l.\nAnswer: -51*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.05 - -0.05. Let z = a + -1.7. Put -2, z, -1 in increasing order.\nAnswer: -2, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 - 78 - (2 + -52 + -16 + 17).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in 0.3, -0.2, -1.4, -0.0252?\nAnswer: -0.0252","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 5. Let s be x(0). Solve y + 23 - 5 = s*o, 3*y - 3 = -4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2)\/i**5 assuming i is positive.\nAnswer: i**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 3*o**2 + 7*o - 8. Let i be k(4). Suppose -4*f = -0 - i. Let b(x) = -x**2 - 4*x + 1. Let c be b(-3). Solve f = -m - c for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1323*q**3 - 330*q**3 - 337*q**3 - 329*q**3 - 330*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.25 + -0.1. Let h = -0.15 + r. Which is the nearest to 0.1? (a) -10 (b) h (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*v - 20, -5*v + 0*v - 3 = -b. Let q be (-4)\/(((-3)\/b)\/(-3)). Is 9 a factor of 508\/q - 3\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38046304?\nAnswer: 2, 1188947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 103243, 5, -52 in descending order.\nAnswer: 103243, 5, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27716?\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 166 + -16?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11088, 44706, 100740, 179196, 280080, 403398, 549156, 717360?\n\"Answer: y**3 + 11202*y**2 + 5*y - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*v - 2*v. Suppose 2*c - 8 = v. Calculate the greatest common factor of c and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-8) + (-110)\/(-40). Solve w*q - 4*q = 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1312023330 (base 4) in base 15?\nAnswer: 9867c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2056, -3939, -5652, -7195, -8568, -9771?\nAnswer: -10804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -29085870 divided by 13\nAnswer: -29085870\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -236*m**5 + 61*m**3 - 80*m**2 - 262*m + 56 wrt m.\nAnswer: -14160*m**2 + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -77 - -82. Suppose -c*l = 4*w - 12, 2*w - l = 7 + 13. Let o(b) = 2*b - 11. Calculate o(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -o**7\/840 + o**6\/45 - 7*o**5\/120 + o**4\/8 - o**3\/3 + o**2. Let u(s) be the first derivative of j(s). Is u(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-2\/13)\/s))\/((s\/s**(1\/2))\/s))**28*(s\/s**(-1\/2))**(-25)*s**2\/(s\/((s*s**(2\/3)*s)\/s)) assuming s is positive.\nAnswer: s**(3079\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.03 and -508.5.\nAnswer: -1540.755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*v + 7*v - 88*v**3 - 8*v - 6*v**2 + 84*v**3 to z*v**3 + m*v + p*v**2 + a and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 5*b = -29, 0 = -15*q + 18*q + 3*b + 30 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*3\/(-48)*2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = m - 2*o, -3*m - 5*o - 1 - 19 = 0. Let c be (0 - 11)*(-2)\/(-2). Which is smaller: m or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29227 (base 11) to base 3.\nAnswer: -2002222020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -51*r - 7554. What is c(-148)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2457 and 2558192?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.4 - -0.4. Let y = -2 - -4. Let x = 9 - 4. What is the second smallest value in x, b, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2434131 divided by 45927.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 102425 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*8\/(-36) + 39\/(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**0)**(-29\/5)*(z**(-5))**(3\/31) assuming z is positive.\nAnswer: z**(-974\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/(-510)*9\/(-4).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 198\/72 - 3\/4. Let h(g) be the first derivative of -1 + 0*g**2 + 2\/3*g**3 + k*g. Differentiate h(i) wrt i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4376 = 8*s - 2*l, 886 + 190 = 2*s + 4*l. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85, -62, -271, -572, -995, -1570, -2327, -3296?\nAnswer: -4507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*n - 348 = -158. Let j(k) = 3*k**2 - 14*k + 20. Determine j(n).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d\/d**4))\/d*d*d\/d**(-2\/3))\/(d*(d\/(d\/(d*d**(1\/15)*d)*d*d)*d)\/d*d\/d**(-5\/6)) assuming d is positive.\nAnswer: d**(113\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 times 702285?\nAnswer: 54778230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 931770 a multiple of 609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 55 = -16. Let n = d + -6. Suppose -n = -3*b - i, -2*i + 3*i - 15 = -5*b. Sort 0.3, 0.03, b in descending order.\nAnswer: b, 0.3, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78 - -231. Calculate the smallest common multiple of f and 45.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35533549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 180\/7 - (-36)\/126.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/(-10) - 1796\/840 and (-467)\/48 - (19 - 29)?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**2 - 4 + 4 + (f**2 - 2*f**2 - 5*f**2)*(0 - 1 - 1) + 2*f**2 + 7*f - 7*f in the form v*f**2 + d*f + q and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l + 33. Let r(o) = 3*o - 67. Let v(k) = -7*g(k) - 4*r(k). Let q be v(-19). Let p(f) = -191*f**3 + 5*f**2 + 5*f + 1. Is 16 a factor of p(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-10)*5\/((-30)\/(-4))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + -37 + (-2)\/(-4)*-1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.8 (b) -1\/6 (c) -0.1 (d) -1\/76 (e) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 a factor of 672198912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(119) - 1*sqrt(119))*-6 - ((sqrt(119)*1*-1 - sqrt(119)) + sqrt(119)))*-1)\/(-5*(sqrt(42)\/sqrt(6)*5 - sqrt(28)\/sqrt(4)*4)).\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37342240207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3\/2)*n**2)\/(n*n\/n**(2\/5)*n**(-1\/4)))\/(n**(-3)*n\/n**(2\/11))**(1\/9) assuming n is positive.\nAnswer: n**(-401\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is -0.444 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-28))\/(1*(-1)\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 2*w + 8, 6 + 0 = 3*w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**7\/35 + 11*f**4\/12 - 5*f. Let d(o) be the third derivative of t(o). Let l(j) = j**2. Calculate d(l(r)).\nAnswer: -72*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280399 is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 100749503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 17707\/70876 - ((-18)\/(-24))\/3. Let x = -2002157\/531570 + m. Calculate the common denominator of x and -13\/27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 12 - 2. Suppose c*w - w - 20 = 0. Factor -u**w + 3*u**4 + 0*u**4 + 2*u**4 - 10*u**3 + 7*u**2 - 2*u + u**3.\nAnswer: -u*(u - 2)*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-54))\/(-150*(-102)\/(-6120))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1050)\/(4620\/(-66))*258\/30?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -7*c**6\/360 + c**5\/60 + c**3 - 2. Let x(m) be the third derivative of g(m). Suppose x(h) = 0. Calculate h.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 38683*r**3 - 20156*r**3 - 18528*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000720724 to seven decimal places.\nAnswer: -0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 18*w - 23. Let a be g(12). Suppose -a = 3*n - 55. Let m(q) = q**3 - 2*q**2 + q. Let d be m(n). Solve -d*o = o - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48 - 29 + 46)*(5*l**3 - 4*l**3 + 4*l - 2*l**3).\nAnswer: -65*l**3 + 260*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 24*v**2 + 144*v - 4273. Calculate l(20).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 3*u - 2*q - 8, 4*u - q + 11 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35 in 16, 3\/4, -1, -9\/14?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xqtx when four letters picked without replacement from xnxtctqn?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 1 (b) -0.3 (c) -2\/7 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + (1 + sqrt(171))*3 + 0)**2 + -3.\nAnswer: 126*sqrt(19) + 1585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.1 - 0.1. Let c = v - 12. Let r = 0.01 + -3.01. What is the nearest to 0 in r, c, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*b + 2 = -2, -2*o - 1 = -b. Put -14, o, -3 in ascending order.\nAnswer: -14, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 2*f - 7*f. Is f\/45 - (-786)\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5092092*i**2 + 633510?\nAnswer: 10184184*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3, 4, 9, 6, -11, -48?\n\"Answer: -u**3 + 5*u**2 - u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47116.\nAnswer: 2, 11779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34.613244801346674 + -1226479018.613243921346674. Let k = w - -1226478921. Let o = 63 + k. What is o rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*p - 24 = 0, -13*g + 16*g + 8*p = 7. Sort g, 80, -2\/7.\nAnswer: -2\/7, g, 80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/7*1832\/916?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 660.2 + -596. Let a = -69.21 + y. Let z = a - -0.01. What is the third biggest value in z, 1\/7, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3565805 is divided by 111.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5270687 by -4.\nAnswer: 5270687\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/c**(-2\/53))\/c*c)\/(c**(-3)\/c))\/(c*c**(1\/5)*c)**3 assuming c is positive.\nAnswer: c**(-149\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1406531 * -0.1.\nAnswer: 140653.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/10 + (4080\/(-56) + 73)*205\/(-25)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 2145?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 t, and 1 k when four letters picked without replacement from tttninkint.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2326, 2123, -612, -5879, -13678?\n\"Answer: -1266*f**2 + 3595*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from ouuzzuzczbpp?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*d - 14*d + 73*d - 10*d.\nAnswer: 98*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) -29 (c) -1\/5 (d) 1\/35 (e) 36 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(17\/3)\/(y*y\/y**(2\/21)))\/(y\/(y**(2\/5)\/y)*y**(-2\/5)))**(-3\/4) assuming y is positive.\nAnswer: y**(-269\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16211 + -25338. Let w = -8024627\/510 - -224537\/34. Let p = w - s. Find the common denominator of 13\/30 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-18))\/(2\/(-3434814)). Let n = c + -1012469. Round n to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -67, -161, -281, -427?\n\"Answer: -13*f**2 - 55*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z - 25230. Let c(q) = 2*q - 240. What is c(x(k))?\nAnswer: -6*k - 50700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyys when four letters picked without replacement from {s: 4, j: 2, y: 6, h: 2, g: 1, k: 4}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -0.5, 36654, -7 in decreasing order.\nAnswer: 36654, 16, -0.5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/4))**(-7)\/(h**4*h)**(-36) assuming h is positive.\nAnswer: h**(699\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 1:26 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)\/(sqrt(2) + sqrt(200) + sqrt(200)*-3 + sqrt(200)))\/(-3*-3*sqrt(32)\/sqrt(4)))**2.\nAnswer: 1\/972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 174, 4.057, 3, 0.3?\nAnswer: 174","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-396)\/660*((-3)\/(-4) + -2).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 2*i + 186*v - 191*v, 4*i - 8 = v for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -44*r + 4. Calculate j(1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 + -12 - -12 - -15?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-4) + 6\/4 + -1. Suppose 0 = f*o - 152 - 8468. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(30) + sqrt(270) - sqrt(30)) + sqrt(30))*6*-3)\/((sqrt(640) - (sqrt(640) + 1*sqrt(640) - sqrt(640) - sqrt(640)))*4))**2*-3.\nAnswer: -729\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26.825 - 26.8. Which is the biggest value? (a) y (b) 1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8722*o + 9273*o - 3306 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 118 and 102.\nAnswer: 6018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -776815 (base 10) to base 15\nAnswer: -10527a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304084 = -4*y + 4*w, -4*y + 2*w = -442839 + 138745. Suppose -5*m = l - 28975, 5*m - 68949 = -5*l + y. What is l rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.2 + -1.7. Let l = x + -4. What is the smallest value in -1, 0.3, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4332222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -6\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*h + 90*h - 2*h**3 + 13*h.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*x + l + 4993, -3*l = -4*x + 3994. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**4\/6 - 5*r**3\/6 - 2*r**2 - 6*r. Calculate the least common multiple of 11 and i(4).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11289 (base 11) to base 3\nAnswer: -211101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5591993 divided by -1.\nAnswer: -5591993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 875 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32376 or -32375?\nAnswer: -32375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) -135 (b) -4\/3 (c) 1\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 0*o + 38*o**2 + 38*o**2 - 298*o**2 - 161*o**2.\nAnswer: -383*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0791 rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 + 2*t**2 - 596863*t - 77435*t.\nAnswer: -t**2 - 674298*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 9*g**2 + 3. Let u be s(9). Let p(q) = -q + 8. Let f be p(u). Solve 16 = -f*m + 2*c, 2*c = -3*m - 11 - 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a decade in years?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3276\/(-2184))\/(-1 + (2 - 43\/46))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, -0.77, -2, -52.7?\nAnswer: -0.77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/5 + 3364*d**2\/5 - 60066*d\/5 + 269568\/5.\nAnswer: -2*(d - 1664)*(d - 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -8*q**3 + 3*q**2 + 4*q - 1. Determine w(-2).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 39 + (-2 - 1) + -3. Suppose i = -2*l + 5*l. What is the highest common factor of 99 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*n + 5 = 0, 0 = -3*l + 484*n - 487*n + 6. Let a(u) = u**3 - 7*u**2 - 9*u + 12. Let x be a(8). Solve c - x = -l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**3\/d)*d\/(d*((d\/(d\/(d*d**(-1)*d)))\/d)\/d))\/(d**(-1))**(-49)*(d\/d**(2\/29)*d*d**(4\/3)*d)\/(d**(-3\/5)\/d**(-7)) assuming d is positive.\nAnswer: d**(-22244\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 7987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 5*j - 16, 199*j - 204*j + 5*q = 0. Solve 0 = 3*t + 3*n + 5 + 7, -j*n = 5*t + 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700) + sqrt(700)*1 + -2 - (0 + sqrt(7) + 1 + sqrt(252))**2.\nAnswer: -346 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30 - 4*f + 2*f + 20 wrt f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2)*o*o**(1\/5)*(o*o**(-15))\/o*o*o\/o**(-12))**(-2\/47) assuming o is positive.\nAnswer: o**(8\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8227 + 5.8227. Sort -1, -3, u, -618, -0.2 in decreasing order.\nAnswer: u, -0.2, -1, -3, -618","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 28*w - 49. Calculate u(26).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*x + 0*x - 14*x)*(-x**2 + 5 - 5)*(x + 3 - 3)*(-3 + 2 + 2) to the form n*x**4 + p*x**2 + o*x + q*x**3 + b and give n.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m - 11. Let q be l(10). Let b = q - 25. Calculate the highest common factor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -97803\nAnswer: 2\/97803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five eighths of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 5*h**3\/6 + h**2 + 12*h - 1. Let k(x) = x + 1. Suppose -24 = -d - 3*d. Let n = 9 - d. Calculate n*k(w) - r(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -7. Let n = -466.8 - -467. Which is the second biggest value? (a) n (b) -2 (c) 1\/4 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211560?\nAnswer: 2, 3, 5, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*t + 738 = -187*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 264640162?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4761, 9480, 14143, 18732, 23229, 27616?\nAnswer: 31875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 11) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-50))\/(28\/70).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -88, -138, -192, -250, -312, -378?\nAnswer: -448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**4 + 44*w**3 - 112*w**2 = 0. Calculate w.\nAnswer: 0, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1519*j - 17. Suppose 0 = 4*a - 2*a - 5*c - 27, -4*c - 20 = 0. What are the prime factors of b(a)?\nAnswer: 2, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*v**2 + v**2 - 3*v - 2 - 177*v**3 + 288*v**3 + 2*v in the form u*v**2 + o + z*v + j*v**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 4:56 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1020 + 1022. Let v = 12 + -11. Which is the third smallest value? (a) -1\/3 (b) v (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45442 + 77983. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 18*s = 7260. Let x = -1192 + s. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 11 = -d - 3*a, 3*d - a - 3 = 0. Let o(z) = -7*z**d - 6*z**2 + 0*z**2 + 7*z**2. Let v(w) = 2*w**2. Calculate v(o(k)).\nAnswer: 72*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-7))\/(157320\/(-45885))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 44*l**5\/5 + 5512*l**4\/5 + 28208*l**3\/5 + 44376*l**2\/5 + 25956*l\/5 + 864 = 0.\nAnswer: -120, -3, -1, -3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -9?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -29*w - 46. Let j be h(-67). What is the greatest common divisor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5933214995 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3256 divided by -44\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492 a factor of 4841540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 53 = p - 5*h, 5*p - 2*h - 63 = 0. What is the remainder when 140 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 14*z = -225. Suppose -3*h - 5*g = -35, 4 = g + 9. Factor -z*q - 12*q**4 - 3*q + 2*q + 16*q**2 + h*q**3.\nAnswer: -4*q*(q - 2)*(q + 1)*(3*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -10 + 2 + 6 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 5*r**2 + 5*r + 2. Let p(l) = l**2 - 2*l - 10. Let g be p(5). What is the units digit of d(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1363 divided by -70.\nAnswer: 1363\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*b + 25050 + 1798 = -327*b + 2623 for b.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 0*s - 4 + 2 + 3 + 2*s**3 - s. Let w be d(1). Let i be 1*(-5 - 1) + w. Do i and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000034818712 rounded to six dps?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4130 + -1789. Suppose -6*k + z = -923. List the prime factors of k.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17143444\/441 + -38874. Let h = q - 268\/7497. Which is bigger: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 4*r + 5*r)*(3 - r - 3) - 2509*r**2 - 1293*r**2 + 1021*r**2.\nAnswer: -2785*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -31392, -31452, -31520, -31596, -31680?\n\"Answer: -4*v**2 - 48*v - 31340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/7 (b) -0.13 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -22, 18, -1\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2999)\/5 + (-1 - 24\/(-30)). Let r = -408 - x. Is 32 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, o: 1, x: 1, p: 2, e: 2, h: 2}. What is prob of sequence dh?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 97, 5, 2\/2125, 0.3 in ascending order.\nAnswer: 2\/2125, 0.3, 5, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1339.619 + 8.6.\nAnswer: -1331.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*p = 92*p + w + 14, 0*w = 3*w + 30 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w**4 - 2*w**4 - 2*w**4)*(-98 - 105 + 7) to g*w + p*w**4 + k*w**2 + z*w**3 + s and give p.\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 10*o + 8. Calculate x(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 3, u: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**6\/30 - k**4\/2 - 4*k**3\/3 - 3*k**2. Determine r, given that b(r) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 9*z - 15 = 0. Suppose 0 = 2*o + 2*q - 6, z*o - 15 = -3*q - 6. Solve o = -3*k - k - 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 330359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26427147.\nAnswer: 3, 8809049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 37*n - 12. Let k be o(5). What is k rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-3 - -6) + -3. Let z be 7 + 9\/6*r. Is z at least as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**2 - 10673*h - 42676 = 0. Calculate h.\nAnswer: -10669, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*w**3 + 3 + 58*w**3 - 114*w**3 to s*w**2 + j + y*w**3 + v*w and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -1) + -4 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 644913539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 179390329 or 179390324?\nAnswer: 179390324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/18*(1 - (-31)\/6). Let f = 505\/117 + 2\/117. Let r = k + f. Is r >= 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(6))\/sqrt(5) - (sqrt(2) - (-2*sqrt(6))\/sqrt(3)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = 1347 + 2921. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 54, -1, -2\/11, -4\/9.\nAnswer: -1, -4\/9, -2\/11, -0.1, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (47 - 0 - (-28 + -1 + 40))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3525139 and -0.2?\nAnswer: -705027.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-8 + (1 - 6) + 14 - -5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3*2\/27 - (-136)\/36\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-6 - -7)) + (5 - -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f**5\/5 - 19*f**4\/5 + 46*f**3\/5 + 854*f**2\/5 - 931*f + 3773\/5 = 0. What is f?\nAnswer: -7, 1, 7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -40 (b) -15 (c) -0.4 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a + 299 = 0. Suppose 130*u - 84 = 109*u. Suppose 0 = -3*w + 4*w - 5*s - a, -5*w - u*s + 1553 = 0. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29.15 + 29. Let l = d + 0.25. Let j = 2 + -4. Do l and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13516207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-195))\/(92\/(-598)) - (-2)\/(18\/3)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13085 + 13085 - 499*h.\nAnswer: -499*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 755898 at most 755898?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/10)\/((-15)\/450)*(-9)\/(-6)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6*7536\/90 - 4\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqhqapahttaaqtqqa. What is prob of picking 2 q and 1 h?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 115 - 113. Let y(u) = 6*u**2 - 19*u**s + 4 - 4. Let j(a) = -3*a**2. Give y(j(d)).\nAnswer: -117*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*q = -0*u, 0 = 3*u + 5*q. Let r be 8\/2 - (0 + 1). Suppose -2*i + 1 + 15 = 4*a, 3*i = r*a - 12. Solve u = -i*k - 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 908*u**5\/5 - 3*u**4\/4 + 8*u**3 - 145*u**2\/2 + 1533. What is the third derivative of f(w) wrt w?\nAnswer: 21792*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or 337\/25465?\nAnswer: 337\/25465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05371 to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 9676*q**3 - 2*q - 8427. Let p(u) = -125784*u**3 + 27*u + 109548. Let i(v) = 27*g(v) + 2*p(v). What is the derivative of i(w) wrt w?\nAnswer: 29052*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 6*g**2 - 4*g. Let s(n) = 5*n**2 - 3*n. Suppose 0 = -2*p - 6 - 4. Calculate p*s(u) + 4*m(u).\nAnswer: -u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 36.565 in 1\/19, -4, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*i**3 + i - 19*i**3 - 2*i + 17*i**3.\nAnswer: -21*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*i - 3*t + 5, -9 = 3*t. Suppose -10 = -i*v - 4*w - 31, -5*v - w - 18 = 0. Let o = 1 - 5. Put o, v, -5 in decreasing order.\nAnswer: v, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + u**2 + u. Let r be 3 - 2 - (8 - 1). Let c(d) be the third derivative of -d**6\/24 - d**5\/10 - d**4\/4 + 4*d**2. What is r*w(m) - c(m)?\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2205139940.\nAnswer: 2, 5, 110256997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27243 to the power of 1\/2, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 4326. Let h(x) = -3*x + 46. What is h(y(q))?\nAnswer: 3*q**2 - 12932","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/15 - (2 - 15)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) + (-5 + sqrt(1872) - sqrt(1872)) + sqrt(1872) + -3)**2 - sqrt(1872)) + -1*sqrt(13)*6 + sqrt(234)\/sqrt(2).\nAnswer: -399*sqrt(13) + 7552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, v: 6, k: 4, u: 5}. Give prob of picking 2 k and 1 v.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from gwpjj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 - 2*w + 3. Let u be v(2). Let f = -8 + u. List the prime factors of 3 - f\/(14\/(-36)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5042 divided by 24.\nAnswer: 2521\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11424*i**3*z - 2*i**3 + 2*i*z - 5*i + 130*z - 4 wrt i?\nAnswer: -68544*i*z - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 4 = 2*s - 1, 112*n - 18*s = 116*n - 24 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -6*w - j - 2, 10 = 4*w - 5*j for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*k = -128*k + 3*w, 0 = -5*k + 4*w - 19 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(2*18\/(-9)))\/(4*(-516)\/96)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkh when three letters picked without replacement from {h: 1, k: 18}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2210)\/24102 + 42\/(-2163).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -245 - -249. Suppose -3*h + 5*h + 5*k = 36050, -r*k = 5*h - 90159. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 10. Determine s, given that r - 2*s**2 - 2*s**3 - 2\/3*s - 2\/3*s**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -3. Let v = -13 - -17. Suppose v*r + 2*i - i - 68 = 0, -2*i = -4*r + 56. What is the smallest common multiple of b and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 2173285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.2 (b) 3 (c) -0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*d = 28, d = -t - 2*d + 12. Let p(y) = -y**2 + 6*y + 5. What is the units digit of p(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 - 3 + (2 - 2 + 2)*(5 - 1 + 0) + 4 + 3 - 6)*(q + q - 3*q) in the form u + r*q and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 10286.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48743316 and 249993.\nAnswer: 5319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 5)*(-2*s + 3*s + 0*s) + 6*s + 3*s + 2*s)*(2*s**3 - s**2 + s**2 + (-3*s**2 + 2*s - 2*s)*(5*s + 0*s - s) - 3*s**3 + 3*s**3 - 4*s**3).\nAnswer: -182*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 9. Let q = -26 + m. Let s = q - -17.000108. Round s to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -527\/28 + 77\/4. Which is the closest to r? (a) -3 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -213*t - 634. Let k be g(-3). Which is the third smallest value? (a) -76 (b) -0.1 (c) -0.4 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*q**3 - 54*q**2 + 54*q**2 + (-2*q**2 + q**2 + 2*q**2)*(-q + 4*q - q).\nAnswer: 18*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + i - 1)*(2*i - 2*i + i)*(-5*i - 22 + 28 - 9*i).\nAnswer: -14*i**3 + 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -0*d - d - 5*h, -4*d + 5*h = 16. Let l = d + -3. Calculate the least common multiple of 16 and 0 - -18*(-2)\/l.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 2 + 2)*(225 + 1239 - 685).\nAnswer: -779*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2981d (base 15) to base 13.\nAnswer: -48988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10986*i**5 + 1267*i**4 + 44755479*i**2 wrt i?\nAnswer: 659160*i**2 + 30408*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = h + 12, -2*f + 8 + 13 = -5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1515 and 168945?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -72*x**3 + x. Is j(-1) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + s = 190. Calculate the remainder when s is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 10 = 5*i - 30, -i = -2. Let s be d + -1 + 0 + -1. Suppose 3*o = 5*q - 18, 2*o + 3*o + 11 = 2*q. Solve -q*k = -s*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -6. Suppose 2*b + 8 = 0, 2*b = u*h - 2*b - 32. Suppose -h*s + 60 = s. What is the greatest common factor of 18 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**2\/5 - 19558*y\/5 - 2930457\/5 = 0. Calculate y.\nAnswer: -19407, -151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-232)\/3 + (-1)\/(-3). Let m = -70 - y. Suppose -v = -4, 21 = z + 3*v + m. What is the highest common factor of z and 36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -257, -275, -329, -437, -617, -887, -1265?\nAnswer: -1769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1*sqrt(110))\/sqrt(10) + 2).\nAnswer: -8 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 611 - 3063\/5. Sort -1\/6, 2\/5, 4, -15, i in decreasing order.\nAnswer: 4, 2\/5, -1\/6, i, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 10:28 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 10*b - 2. Suppose 5*p - 33 = -0*y + y, 2*p = y + 15. Let r = -1 - p. Is s(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence buub when four letters picked without replacement from uubb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1612658 * -159\nAnswer: 256412622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 5*y**2 - 2*y + 6. Let b be z(5). Let s be (-1)\/4*b*1. Calculate the highest common divisor of 5 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 0.0869 (c) 8\/3 (d) -163\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1\/5))\/d**(-5)*((d**(-3\/4)*d)\/d)**(-36) assuming d is positive.\nAnswer: d**(164\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 33 = 9*o. Let j be ((-3)\/1)\/(o\/(-2)) - -2. Solve j*z + s = -s + 26, -3*s + 3 = -3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 192.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9962 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1031996 by 47.\nAnswer: 1031996\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 4:05 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*-1 - sqrt(13))*-3 - (sqrt(13) - sqrt(234)\/sqrt(2)).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24761439349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 106*m - 668. Let r be l(-6). Sort 5, -8, r.\nAnswer: -8, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -35*g - 8. Calculate the remainder when w(-3) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 20. Let k be (2 - 0)\/(f\/9). Let r = -3528 + 3538. Solve -2*d + r = k*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15274668 by -3.\nAnswer: -5091556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 6 (b) 2 (c) -7\/5 (d) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2881 - 2797. Let q be 3952\/95*(-70)\/(-4). Suppose -q = -4*v - 280. What is the greatest common divisor of j and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(1*3\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.82 in -26, -8, 0.02, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vunuxsava. Give prob of picking 1 x, 1 a, and 1 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6740, -6744, -6748, -6752?\n\"Answer: -4*j - 6736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 5)*(-2*n**5 - 12307*n**2 - 3 + 14571*n**2 + 3).\nAnswer: -8*n**5 + 9056*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y = 14*y + 378. Let z = 630 - y. Suppose 0*h - 2*h - 4*n = -588, 2*n - z = -2*h. Is 20 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2271, -2262, -2255, -2250, -2247?\n\"Answer: -r**2 + 12*r - 2282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59657 (base 12) to base 6.\nAnswer: 2324151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-45)\/12100*(-24)\/(-9). Let o be -1 - (-24901)\/9680 - 0. Let k = g + o. Calculate the common denominator of k and 41\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2314\/(-1958))\/(6\/(-396)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -43879520.9 to the nearest 100000.\nAnswer: -43900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = g - 1, 4*g + 10*r = 9*r + 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -7*n**2. Let z be t(-1). Which is greater: 2\/5 or z?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2405502.9 hours?\nAnswer: 100229.2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 14\/5*i**5 + 0*i**3 + 0*i**4 + 13*i - 17 + 0*i**2. Find the first derivative of j(l) wrt l.\nAnswer: 56*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - (-2)\/4) + 291\/6?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t = 10*t - 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25881552 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 25. Suppose 0 = -5*z - 2*v + 2, -r = 4*z - 3*v - v. Solve z = -2*o + w + 13, -3*w - 31 = -5*o - w for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**4 + 0 + 1 - 3 + 3*g**4 - 6*g**4 + g**4 + g - g - g**4 + (3 - 1 + 0)*(-3*g**4 + g**4 + 0*g**4) - 2*g**3 + 2*g**3 - 2*g**4 - 16 + 16 - g**4.\nAnswer: -11*g**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 80069917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from ggeegggg.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**4 - 67128*s**3 - 563136776*s**2 + 2253352704*s - 2253621248 = 0. Calculate s.\nAnswer: -16784, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2171, 4354, 6537, 8720, 10903, 13086?\n\"Answer: 2183*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in 7\/8, -1.48, -1\/7, -0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*b**2 + 14*b**2 + 15*b**2 - 1037*b - 2*b**3.\nAnswer: -2*b**3 + 13*b**2 - 1037*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3474*c**3 + 3448*c**3 - 59437268 + 59437268.\nAnswer: -26*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5 - o - 5)*(0*o + 0*o - o) + (-13*o + 12 - 12)*(3*o + 2*o - 4*o))*(o - o - o) in the form h + l*o**2 + w*o + u*o**3 and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 2 + 14. Let p be 16\/5 - (9 + -21)\/(-60). What is the second derivative of 3*b**3 + 11*b**5 - 4*b - 3*b**p + 0*b**o wrt b?\nAnswer: 220*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(5445) - sqrt(5445)*4) + sqrt(5445)))**2.\nAnswer: 544500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzp when four letters picked without replacement from {z: 3, v: 1, p: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.72, 3, 519\/11 in decreasing order.\nAnswer: 519\/11, 3, 2.72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/20*169\/(-1014))\/((-12)\/(-56)).\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.7 - -3.9. Let m = -0.3 - 0.1. What is the third biggest value in j, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-130)*5*(-15)\/33*(-176)\/880?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -13*(-88)\/16 + 1\/2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1608, -3218, -4828, -6438?\n\"Answer: -1610*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + 2*r + 12, 3*r - 7*r - 8 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -18, -28, -38, -48, -58, -68?\n\"Answer: -10*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 8 = -0*z - 5*z, -4*z + r = -20. Let n be ((-14)\/(-10))\/((-2)\/(-10)). Suppose -n = z*j - 47. What is the lowest common multiple of 3 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**3 - 4*h**2 - h - 4. Let z = -2 - 1. What is the units digit of x(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168 - 86 - 82 + 9*c.\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/6*(-3)\/2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l + 6*l + 4. Suppose -l = -3*o + o. Suppose 0 = -o*q + 15 + 3. What is the remainder when 25 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -5*n**4\/6 - 205*n**3\/6 - 595*n**2\/3 + 30*n + 1020 = 0.\nAnswer: -34, -6, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*n + 412 = 4*q, -q + 108 = 3*n. Let u = q - 54. What is the greatest common divisor of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1405 divided by -281?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 z when three letters picked without replacement from {m: 4, u: 1, z: 4, h: 1, f: 2, i: 2}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320*w + 251*w = -483 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 2:35 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -37 - ((-4)\/5)\/((-5)\/450*-18)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12 + (3 - (-4)\/4)\/2. Let q(t) = 5*t - 45. Let k be q(x). Which is smaller: k or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 13*s. Let t(l) be the second derivative of -l**4\/24 + 47*l**2\/2 + l - 20. Let b(u) be the first derivative of t(u). Calculate h(b(p)).\nAnswer: -13*p","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/393576 and 39\/60628.\nAnswer: 259366584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**5\/4 - p**4 - p**3\/2 + 3*p**2 + 9*p\/4.\nAnswer: p*(p - 3)**2*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/51, -10, 0, -2\/83 in descending order.\nAnswer: 0, -2\/83, -4\/51, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -18244.13039 minus 3833?\nAnswer: -22077.13039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 1712433415211.\nAnswer: 1712433415208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-48))\/((-2)\/12*7)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2. Let q(b) = -2*b - 4. Let n(a) = 2*a + 5. Let o(t) = 4*n(t) + 5*q(t). Give g(o(i)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -958*g**3 + 216512*g**2 - 12233606*g + 51076.\nAnswer: -2*(g - 113)**2*(479*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 - 1 + 1)*(-12 - 6*m + 12).\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 17, -5\/3, -0.26482, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 + 72*u - 3*u**3 - 72*u - 5*u**3.\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 51692 from 8.\nAnswer: -51684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 678445 a multiple of 235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -631 by -311.\nAnswer: 631\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 992479 is divided by 43149?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 477 divided by 3\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1475*j**4 - 82*j + 1?\nAnswer: -17700*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/7 - 316\/(-14). Suppose 2*p + 16 = w. Factor 11*d**2 + 5*d**2 - 13*d**3 + 9*d**p.\nAnswer: -4*d**2*(d - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*j + 41*j - 4*j - 167*j + 50*j + 41*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2 = 8. Let j(w) = -7*w**2 - 6*w + 2. Let n(l) = -51 - 6*l**2 + 145 - 92 - 5*l. Give o*j(i) - 6*n(i).\nAnswer: i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 869317 to the power of 1\/2, to the nearest integer?\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1051 - 1050 + y**2 + 6*y**3 - 7*y**2 - 2*y**3 - y**4 + 2*y**4 to the form p + o*y**3 + q*y**4 + c*y**2 + n*y and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 100 + -100. Suppose f = 4*h + 4*v - 1016, 0 = 3*h - 4*v - 297 - 451. Suppose 43*p = 44*p - h. Is p a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o - 26113 - 2*o**2 + 4*o - 4*o - 4*o.\nAnswer: -2*o**2 - o - 26113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*s**3 + 48*s**3 - 23*s**3.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 12) to base 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-48)\/(-14)*(7 + 0). Let t = 28 - x. Find the first derivative of 2*c**3 + 0*c**3 - 12 - t*c**3 + 22 wrt c.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 11 + 11*b**3 - 2.\nAnswer: 11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 5*k - 17, 0 = -5*k - 17 + 2. Let i be (117\/6)\/(l\/174). Suppose 9*g - 28008 = i. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -3 (b) 0.092 (c) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 11:00 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8581372 + -14581372. What is w rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 0*p**2 + p**2)*(1261 + 2280 - 2017).\nAnswer: 1524*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4 = -4*j + 2*l, -5*j + 16 = -l. Suppose j*q = -0*q + 48. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 333*a + 43. Let g be j(-2). Let y(q) = q**3 - 2*q**2 + 2*q - 1. Let b be y(1). Let s = b - g. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*t*x**4 - 11*t*x**2 + 14*t - 6636*x**4 + 19*x**2 - 3 wrt x.\nAnswer: 192*t*x - 159264*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7278407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 884 divide 112919388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 15*b - 15. Let u = -30 + 17. What is the tens digit of c(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10 + 12)\/2)\/((-2)\/12). Let d(k) be the second derivative of k**4\/6 + 4*k**3\/3 - 5*k**2\/2 + 2*k. What is the tens digit of d(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -489*t**6\/40 + 23*t**4 + 1556*t**2. What is the second derivative of o(i) wrt i?\nAnswer: -8802*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 56 = 167. Suppose -4*s - p + g = 0, s - 4*p = -s + 32. Calculate the remainder when 17 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 882.13 - 3.13. Let b = -879.0000441 + g. What is b rounded to 6 dps?\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -19*r**3 + 2*r**2 + 32*r + 114. What is j(-4)?\nAnswer: 1234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**5\/5 + 18*u**4 + 334*u**3\/5 + 246*u**2\/5 = 0.\nAnswer: -41, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 229 + -127. Suppose 0*v - 58 = -2*v - 5*x, 4*v - p = -3*x. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*s. Let j be 4 + s - (4 + -3). Suppose j*a + 1 = 58. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 2*m - 293 = -57*l, 31 = -2*l + 4*m - 19 + 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 76\/3, 19, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(105) - (sqrt(105)*1 + sqrt(105))))\/sqrt(7))\/(sqrt(10)\/((6*sqrt(6)\/sqrt(3) - sqrt(2)) + sqrt(2))).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (28 - (36 + -12 + -9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (2 + 2 + 11).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1284 and 13421866.\nAnswer: 80531196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -17. Factor 0*i**4 + 3*i**5 + 0*i**3 - i**5 - 4*i**3 + 2*i**g.\nAnswer: 2*i**3*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -32 - 99529?\nAnswer: -9955b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-18) + (-38)\/(-9). Suppose -r*h + 21 = -31. Calculate the highest common divisor of 65 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/3 - 22*u**3\/3 - u**2\/3 + 22*u\/3.\nAnswer: u*(u - 22)*(u - 1)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v - 3. Let x be t(-5). Let c(z) = x*z - 10*z - 4*z. Let j(g) = -21*g. What is c(j(s))?\nAnswer: 42*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2128 divided by 2\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(210)*-2)\/(2*sqrt(6)*-4))\/(3*sqrt(30)\/(sqrt(6) + 1*sqrt(294) - sqrt(6))).\nAnswer: -7*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -3, -0.6, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 3, -14 in decreasing order.\nAnswer: 5, 3, 2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x**2 + 5*x + 5. Let j(o) = -3*o**2 - 4*o - 4. Let b = 666 - 671. Suppose d = -4*r - 13, 6*d - 2*d = 2*r + 20. What is b*j(c) + r*p(c)?\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4420 divided by -5.\nAnswer: -884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 730 and 22447?\nAnswer: 21717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 11:26 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 61649240 to the power of 1\/2, to the nearest integer?\nAnswer: 7852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5159.6 + -982?\nAnswer: 4177.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/8*(-2 - -6). Suppose 3*l + 3*h + u = 45, 4*l - 51 = -5*h. Calculate the lowest common multiple of l and ((-10)\/8)\/(3\/(-24)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**3 - 8*u**2 - 15*u + 19. List the prime factors of n(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 33 = -8*i. Let k(r) = r**3 - 23*r**2 + 92*r + 30. Let a be k(18). What is the highest common factor of i and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - h. Let y(i) = -2*i**2 - 5*i. Let d = -182 + 181. Give d*y(k) + 3*w(k).\nAnswer: -k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/6*(-2855514)\/232 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, -2, -4, 0.2, -2\/19, 0.1, -2\/171?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/60*1\/2.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (84\/(-20))\/(3\/(-15)). Calculate the least common multiple of (b\/6)\/(-1)*-2 and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-248)\/18 - 4\/18. Suppose 0 = -0*g - 5*g - 30. Let n be g\/(-10) - x\/10. Solve 3*f - f = c, 0 = n*c + 5*f + 18 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 136\/(-4 + 12)*-8. Let b be (j\/(-24))\/(7\/105). Is 84 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 12:47 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 5*b. Suppose -3*p + 7 - 4 = 0. Which is bigger: p or b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.86501m to kilometers.\nAnswer: 0.00586501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 22\/3?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30084 and 1962.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 2 = -3*a + 10, -5*a = h - 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 t when three letters picked without replacement from trtetetrrrrerer.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + m)*(-88 - 55 - 32 - 25).\nAnswer: -200*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*b - 2*b = -9, 3*b = -a + 8. Solve -2*i + 2 + 3 = -s, -5*i = a*s + 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 19 + -2 - 6\/(-3) - 1. Let f(r) = r**2 - 18*r + 5. What is the units digit of f(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -870 + 4714. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 1 + 7, 5*a = 2*b + 2. Solve 5*u - l = -19, b*l = 3*u + 8 + 17 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -88770, -355075, -798916, -1420293, -2219206, -3195655, -4349640?\n\"Answer: -88768*x**2 - x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/47? (a) -1 (b) -0.5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.38 + -14.38. Which is the smallest value? (a) i (b) -40 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -17, -72, -173, -326, -537, -812, -1157?\n\"Answer: -p**3 - 17*p**2 + 3*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18582082529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13008 = 399*v + 10215 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/12)\/3)\/(20\/8*-2)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007527 rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 4*a - 35, 0 = a + l - 2 - 0. Let w = a + -3. Suppose 5*f = -w*t + 9, 3*t + 8 = -1. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.05 minus 1264?\nAnswer: -1262.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, q: 13, m: 3}. What is prob of picking 1 b and 2 m?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - -1.2. Suppose 0 = 4*o - 60 + 32. Suppose -6 = -o*l - 27. What is the biggest value in 3\/5, j, l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -1\/19, -4\/7, 2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 0*g + 1\/2*g**2 - 2. Let h(k) = -4*k**2 - 3. Let d(z) = 3*z**2 + 2. Let y(j) = 3*d(j) + 2*h(j). Give y(b(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 - 1 - (-1952 + 1895).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -36, -75, -126, -195, -288, -411, -570, -771?\n\"Answer: -m**3 - 32*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**4 + 4*z**4 - 6*z**4 + (5*z + 2*z + z)*(2 - 3*z**3 - 2) + 5*z**4 - 3*z**4 - z**4.\nAnswer: -22*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 1, 854\/101, -1\/7, 5\/3, -2.6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f - 3 = -9*f, -12 = -3*t + 3*f. Calculate the common denominator of -97\/30 and 16175\/(-3000) - t\/(-8).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-955)\/(-540) + -3 + 1. Let g = l - 1\/54. Let r = -3.2 + -0.8. Sort g, r, -0.8 in decreasing order.\nAnswer: g, -0.8, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 1167*s - 15259. Give n(13).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s**2 - 6*s - 1. Let c(q) = -9*q**2 - 11*q - 2. Let d(w) = -w**2 + 2*w + 4. Let p be d(5). Determine p*h(v) + 6*c(v).\nAnswer: v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.08702 rounded to one dp?\nAnswer: -33.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2973*c**2 + 4*c + 4. Let s(h) = -2*h. Determine w(s(n)).\nAnswer: 11892*n**2 - 8*n + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - -1) + 49\/(539\/(-66)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 + 156*m + 300.\nAnswer: 3*(m + 2)*(m + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a hour in seconds?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 + 195185*c**2 - 1904566400*c - 5715456000.\nAnswer: -5*(c - 19520)**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3710 (base 8) to base 13\nAnswer: -ba3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -2*t - 28. Let c = t + 46. Let o(p) = 26*p**2 - p - 5. Is o(c) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 - 52*i**3 + 2604*i**2 - 27008*i + 44032.\nAnswer: -(i - 16)**2*(i - 2)*(i + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -32*c**2 + c - 4. Let y(g) = 64*g**2 - 2*g + 9. Determine 13*s(v) + 6*y(v).\nAnswer: -32*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**2\/2 - 18*d - 3. Let p be z(7). Let u = p + 79. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 356533, 356338, 356145, 355954, 355765, 355578?\nAnswer: 355393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**7\/f*f**(-17)*(f**(-1\/4))**17 assuming f is positive.\nAnswer: f**(-57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 36433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -35955*k**5\/7 + 874869*k**4\/7 - 5428329*k**3\/7 + 6023019*k**2\/7 - 1432164*k\/7 - 1440\/7 = 0.\nAnswer: -4\/3995, 1\/3, 1, 8, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 5:38 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/18 and 49\/204.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -386 or -400?\nAnswer: -386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-2)*(-10 - -12). Let c(n) be the third derivative of -n**5\/20 + n**4\/12 - n**3\/3 + 37*n**2 + 6. Calculate c(x).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33491912 to the power of 1\/3, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*x - 23*x + 1746. List the prime factors of x.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9369463 + -5510198.\nAnswer: -14879661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwukx. What is prob of sequence xx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -95*z**2 + 115*z + 151. Let s be j(2). Suppose 0*l = -2*l. Put l, 13, -2, s in increasing order.\nAnswer: -2, l, s, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 69 - 25 - 50 - 1291*w**2 - 174 - 47 wrt w.\nAnswer: -2582*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l = 17*l - 16. Let o(d) be the first derivative of 0*d**2 - 1\/4*d**l - d**3 + 0*d - 2. Find the third derivative of o(m) wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2 + 6*f - 11*f + 18*f - 6 + 5. Calculate o(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + u**2 + 2*u - 2. Let a(i) be the first derivative of i**4\/4 + i**3 + 2*i**2 - 5*i + 54. Let m be (-1)\/((63\/35)\/9). Give m*n(s) + 2*a(s).\nAnswer: -3*s**3 + s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -627, 0.3, -0.5, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -179.3 - -193.3. Let u = -2 + -3. Which is the biggest value? (a) u (b) r (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206814327?\nAnswer: 3, 67, 797, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (68850\/10)\/9 - (-4 + 1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/16 + 15\/(-84))*-4.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44140717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and 149375847229?\nAnswer: 149375847229.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18097509667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4038 and 618.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 16 - 5 = 0. Let y be (0 + 2)\/((-2)\/j). Find the second derivative of -y - 1 + 8 - 2*t + 3*t**4 wrt t.\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 4258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 9:34 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 611 + 214*p**4 - 8*p**4 - p**2 + 3*p**2 - 7*p**4 wrt p?\nAnswer: 796*p**3 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8257520 and 45?\nAnswer: 74317680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 193*b - 20530. Calculate h(-75).\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -398? (a) -1\/4 (b) -3\/2 (c) -0.2 (d) 2\/81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 208175556.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -1*(0 - -1) - (-9361)\/23?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 l, and 1 o when four letters picked without replacement from {o: 1, e: 2, d: 1, l: 1, k: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -105166*r + 630984. Calculate c(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8986864 or 8986859?\nAnswer: 8986864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 23 = -71. Let r be k + -5 + 3\/(-3). Solve x - r = 6*x + 4*g, 0 = -3*x - 5*g - 19 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1797963874 to the nearest integer?\nAnswer: 42402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1443\/(-3256) + 1\/(11\/(-2)). What is the third smallest value in -4, 3\/2, 4, p?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 3*a + 140. Let k = -25 + a. Let u be (-3 - -1)\/((-4)\/10). Calculate the highest common factor of k and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -32*b - 32. Give w(-5).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 + 2*a**3 - 568*a**2 + 4192*a - 8064.\nAnswer: (a - 18)*(a - 4)**2*(a + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a**3 + 4 - 5 + 2 + 2 + 618*a**2.\nAnswer: 8*a**3 + 618*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -7. Let x = -15\/2 + u. Sort 2, -6\/5, x in descending order.\nAnswer: 2, x, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -55*g**3 - 54*g**2 - 3*g - 2. Let o be c(-1). Solve -5*z - o*b + 1 + 9 = 0, -2*z + 4 = -b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 4*m - 6*m - 605, 3*d + 3*m - 342 = 0. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 + s**2 - 6*s - 4 + 6 + 2.\nAnswer: 2*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence le when two letters picked without replacement from lllelelllleeelee?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -123, -244, -367, -492, -619, -748?\n\"Answer: -w**2 - 118*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/194290 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -4 (b) -1 (c) 0.81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1536 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w - 4. Let g be s(-14). Suppose 4*k = g + 24. Solve 3*q = 5*u + k, u + 3*u = -4*q - 16 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16414791.\nAnswer: 3, 37, 147881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m*m\/(m\/m**(2\/37)))*m**0*(m**(5\/3)*m)**(-22))**(-25) assuming m is positive.\nAnswer: m**(160175\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255735.\nAnswer: 3, 5, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b*g*l*n**2 + b*l*n**2 + 17*b*l + 3*b*n**2 - g*l*n - 5*g + n wrt l.\nAnswer: b*g*n**2 + b*n**2 + 17*b - g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = y, 11 = -2*j - 3*j - 3*y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5*u + 10, 3*g - 2*u + 3*u = -4. Suppose 2*i - 48 = -2*i. Is 12*(76\/i + g) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.02 and 99688.5.\nAnswer: 99688.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1158227 and -2.90892058.\nAnswer: 1158224.09107942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + 17 - 1) + (-5 + -11 - -8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.923 and -819467173.\nAnswer: -819467173.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 6:36 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*v - 15, -4*v = 5*k + 34 - 9. Solve -3*w + 9 = -10*m + 14*m, -5*m = v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1451185992 divided by -60466083?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 83343, 166680, 250015, 333348, 416679, 500008, 583335?\n\"Answer: -v**2 + 83340*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120771 = 3*c + 32727. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, f: 4, o: 5, b: 2, k: 1}. Give prob of sequence ibk.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54130 and 132629326?\nAnswer: 10826","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -s - 76, -5*s + s + 11 = j. Let m(f) = -j + 15 - f + 0*f. What is m(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 67\/7, 1139, 39 in increasing order.\nAnswer: 67\/7, 39, 1139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 23*i**2 + i - 52. Let r be j(10). Let b = 3328 - r. List the prime factors of b.\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27098563883 + 19.\nAnswer: 27098563902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4264?\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 6 = -5*p + 5*s, -p - 1 = 4*s. Sort p, -88, 3, 2 in increasing order.\nAnswer: -88, p, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5*14\/28)\/((-1)\/(-16)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 185862374 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/6713650 and -15\/259?\nAnswer: 46995550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/49 (b) -2\/7 (c) 2 (d) -0.67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbttbmbbtttmb. Give prob of picking 3 b.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2811012221 and 1?\nAnswer: -2811012221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 555?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87*j**3 - 2*j**2 + 704 wrt j?\nAnswer: 522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*j + 3*j**4 - 13*j**4 - 2*j**3 + 7*j**2 + 0*j + 8*j in the form z*j + f*j**3 + u*j**4 + s*j**2 + q and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t = -19*t + 57. Let p = t + -18. Is 3 a factor of (-3 - p) + 18 - 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16847 - 12*v + 458*v**2 - 12*v - 16847 + 24*v.\nAnswer: 458*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*sqrt(162) + 1*(sqrt(162) + -1) + ((sqrt(2)*-2)**2*-4 - -1*sqrt(2)*5) + -1.\nAnswer: -35 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*4379520\nAnswer: -1751808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5972 is divided by 181?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m*m*m**(-4\/5)*m)\/m)\/m**(16\/5) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 minus -68195?\nAnswer: 68189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 11) + 17 + -16 + -14 + 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1109278 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28.011 + 28. Let t = k + -5.989. Which is the closest to 1\/3? (a) t (b) -1\/6 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -0*l. Let r = l - 4. Let o(b) = 2 + 0 + 2*b + 2. Determine o(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 9072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 5*y + 15. Let b = 7 + 0. Let x be u(b). Solve x = r - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**3 - 3*y**2 + 6*y + 6. Let j be c(9). Let m be j\/10 - (-1)\/2. Suppose 0*l = -4*l + m. What is the highest common divisor of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35823601 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: Two letters picked without replacement from {y: 5, p: 7}. What is prob of picking 1 p and 1 y?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12 + 6)\/(1*-2). Suppose -2*s = -2*i + 14, 3*i + 5*s = -a + 8. Suppose -b = -i*b. Solve -3 + b = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2496792?\nAnswer: 2, 3, 104033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = h - 0*h. Suppose h*l - 1 = 47. Calculate the remainder when 63 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -a + 12. Let h be ((-4)\/a)\/((-2)\/6 + 0). Put -0.07, -1, h in decreasing order.\nAnswer: -0.07, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 408, 411, 416, 423, 432, 443?\nAnswer: 456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -17832.42 to the nearest one hundred.\nAnswer: -17800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10941 + 197069\/18. Let c = 6005\/10266 + -1\/5133. Calculate the common denominator of c and r.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20431252 (base 6) to base 16.\nAnswer: 914f0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 762.\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-1)*5\/(40\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.37055 rounded to 3 dps?\nAnswer: -0.371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*6192\/774\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qaqaaaaaaa. Give prob of sequence qaq.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yyysss?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d. Let t(w) = w - 1. Let z be ((-48)\/(-6) - 4)*(-1)\/4. What is z*j(p) - 2*t(p)?\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -2*n**7\/63 - 13*n**6\/135 - 7*n**5\/90 - 2*n + 171. Find t such that h(t) = 0.\nAnswer: -7\/6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -22?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -5*d**4\/12 + d**3 - 18*d**2. Let h(i) = i - 1. Calculate -6*h(r) - v(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of k**5\/5 - k**4\/4 - 7*k**3\/3 + 13*k**2\/2 - 6*k - 20. Suppose b(q) = 0. What is q?\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1729994033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*(sqrt(448) + 1) + sqrt(448)*1 + 0 - (3 + -1*sqrt(448) + 1))**2.\nAnswer: -400*sqrt(7) + 2365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**3 - 16*w**2 - 23*w - 48*w**4 + 24*w + 4 + 46*w**4 to the form o*w**2 + l + i*w**4 + b*w + h*w**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - i - 983020 = -982998, 5*i - 32 + 7 = 0 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 * 26.6.\nAnswer: 372.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6*-3)\/(-1) + 3. Suppose -2*p - z = -5*p. Let n = -1 + p. What is the remainder when n is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/(-5 + 45\/10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-76)\/(-28) - (-6)\/21. Suppose 3*i - 8 = -4*j, 0 = -0*i - i - 4*j. Suppose b*d + f = 6*f - 13, 4*f - 12 = i*d. Which is smaller: 1\/4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6907 - 6906.78827. What is c rounded to 2 decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -5*z**3\/6 + 22*z. Let x(n) = 3*n + 6. Let j(f) = 4*f + 7. Let r(h) = 6*j(h) - 7*x(h). Determine r(b(s)).\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6*a**2 - 28*a + 7. Give t(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 10, -1\/61, 3, 0.4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38302 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2 = y, -3*l + l - 4 = -2*y. Suppose -3*r - 2*r + 25 = l. Suppose 2*m = 5*n - n - 2, n + m - r = 0. Solve -n = -t + 3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1300302 and 54.\nAnswer: 3900906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15177 and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 - 144*s - 119. Let l be v(-71). Solve -l = -5*c + 8*a - 4*a, -c = -5*a - 13 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**5\/30 + 3*k**2 - 3*k. Let u(i) = -50*i**2. What is y(u(f))?\nAnswer: -5000*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2261\/2 + 1170. What is the common denominator of ((-3201)\/198)\/(1924\/78) and c?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 356.3 - 381. Let i = 3 - -22. Let h = s + i. Which is the fourth biggest value? (a) h (b) -0.2 (c) 0.2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 19, 26, 39, 58?\n\"Answer: 3*p**2 - 2*p + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7767896 - 11139070. Let u = 1081174 + l. What is u rounded to the nearest 100000?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 7.7. Let y(d) = -d - 7. Let u be y(-6). Let i be (-4)\/u*2\/4. Which is the closest to -1? (a) -5 (b) i (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 375.2 - 378.506. Round u to 1 dp.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**4 + 258*j**3 + 416.\nAnswer: -4*j**3 + 774*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0506 to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (k**2 - 3 + 3)*(-2*k - 3*k + 4*k)*(-10*k + 62 - 62) in the form d + c*k**4 + f*k + h*k**2 + m*k**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*b + 599, -2*b = 5*o - 42 + 426. Is b not equal to -195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15147672?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -142803 or -3284450\/23?\nAnswer: -142803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 4 - 2*q**2 - 6*q + 2)*(75 + 23*q - 75).\nAnswer: -46*q**3 - 23*q**2 - 46*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -20*o - 3. Let u be n(1). Let h be (8\/(-20))\/((-4)\/235). Let d = u + h. Which is the nearest to 0.08? (a) -1\/3 (b) 2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 720*h - 720*h - 913*h**2.\nAnswer: -913*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of o**3 - o**3 + 7394*o - 9*o**4 - 7394*o + 7*o**2 - 242 wrt o?\nAnswer: -36*o**3 + 14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14962954?\nAnswer: 2, 1373, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 3:10 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -8*y + 6. Suppose -2*i - 2*i = -96. Suppose a = -5*a + i. Let d(q) = -4 + 17*q - 13 + a. What is 6*d(m) + 13*p(m)?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 11. Let n be (-67 + 66)\/(-2*(-3)\/(-12)). Solve -n*p + 5 = w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v + v**3 + 1 + 0*v - 4*v. Suppose 5*a - 2 = 3*u + 11, 2*u - 4*a = -12. Suppose u*f = -7 - 1. What is p(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.0969 to 1 dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 431766550 at most 431766548?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.67 + -0.67. Let g = -14 + 14. Let m be (1 - g)*6\/27. Which is the nearest to 0.8? (a) r (b) 3\/7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20316 divided by 3\nAnswer: 6772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(-16 - 5 + 50)*(4 + 21*j - 4)*(2 - 1 + 1).\nAnswer: 2436*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184\/9*h**3 - 2\/9*h**4 - 559682\/9 - 97336\/9*h - 2116\/3*h**2 = 0 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.24 - 6.64. Let k = 0.4 + -2.2. What is the nearest to k in n, 0.3, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**3 - 5*i**2 - 8*i - 8. Let v be w(-3). Suppose v*n = 17*n + 4496. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167565347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {o: 1, f: 1, s: 1, g: 4, j: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.034 + -1.966. Let u = -51\/110 - 2\/55. Let l = 0.083 + 0.317. Which is the closest to i? (a) u (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 + (-4)\/20*-10. Let c(q) = -q**2 + 5*q + 6. Determine c(n).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -673543, -2, 1 in decreasing order.\nAnswer: 1, -2, -673543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 8:41 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1412926 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -3\/2, 0.3, -4, 0.8, 0.08, 4211\/3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 2, 222, -1\/4, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w - 247 = -37. Solve 0 = -3*t + w*t + 35 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1065 in -5, 284, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 2:09 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -6. Let s = 0.17 + 0.13. Which is the closest to 0? (a) -3 (b) n (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*3\/(-6)*(-4)\/10. What is the nearest to 0 in -2\/9, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -357 - -397. Suppose 3*m + 114 = 21. Let t = w + m. Calculate the least common multiple of t and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -504 divided by -18.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 9*j**6\/10 + 10*j**4 + 169*j - 95. Let y(t) be the first derivative of s(t). Find the third derivative of y(q) wrt q.\nAnswer: 648*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 0. Let d = 9.4 + -65.4. Let j = d - -60. Which is the closest to 3? (a) j (b) r (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 842*u - 28839. Calculate k(-36).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6447*f*i*m**3*w + f*i*m*w + 7*f*m**3*w - 2*f*m*w + i**2*m**3 + 105*i**2*m**2 - 5*i**2*m*w + m*w wrt m?\nAnswer: 38682*f*i*w + 42*f*w + 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 397320?\nAnswer: 2, 3, 5, 7, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26697\/35 + -763. Let u = 17\/7 + t. Is u != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272634180 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 12 = -18*i. Let d be (-2 - i\/(-1))\/((-6)\/4). Let z = 53 - d. List the prime factors of z.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.081129 - -0.08074589. What is m rounded to 6 decimal places?\nAnswer: -0.000383","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 544*y + 5175. Give a(-9).\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -18a?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 222 + 214 + y**2 - 434 + 34*y as c + v*y**2 + x*y and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/((-18480)\/(-36)))\/((6\/(-21))\/(-1)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147277995 divided by 9818533.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 211 = 181. Put t, -2, -3, 5 in decreasing order.\nAnswer: 5, -2, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - (-10)\/(-3))*(-3 - -6). Is 259*5*j\/(-175) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 3*b - 12 = 0. What is the third derivative of 5*o**4 - 653*o + 3*o**2 + 653*o - 13*o**b wrt o?\nAnswer: -192*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i + 355 = 27*i. List the prime factors of i.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/8 + 46\/8. Let q(h) = -h**3 + 8*h**2 + 2. Let o be q(8). Let f(b) = 225*b - 20471. Let d be f(91). Solve w - o = d*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4404 + 23032?\nAnswer: 32441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 2:34 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y + 3. What are the prime factors of j(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22030211130 (base 4) to base 13.\nAnswer: -727866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + o = 168 + 44, -4*o - 288 = 4*a. Let q(d) = -d**3 + 11*d**2 + 15*d + 9. Calculate the remainder when q(12) is divided by a\/(-3) - 2\/3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 divided by -56?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00909310465 to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 1076*p**3 + 534*p**3 + 5*p + 0*p - 2*p + 539*p**3.\nAnswer: -3*p**3 + 3*p + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 505202*h**3 - 687264*h**2 wrt h?\nAnswer: 3031212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2241807675 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 1. Suppose -5*f + 10*f + 5 = -2*w, -c*w - 3*f = -16. Suppose -w*x + 0*j + 329 = 2*j, -3*x + j = -204. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 514*g**2 - 5*g + 5. Suppose 14 = 5*z + 2*z. Is x(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-1 - (-4 - -6)). Let z(f) = f - 3*f**3 - 4*f**2 + 2*f**2 + 2*f**3. Let w be z(q). Solve -x + 4*k = k + 10, -3*k = 3*x + w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.522 - -0.62. Round h to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 4*r**2 - 9*r - 39. Calculate t(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, j: 1, u: 8}. Give prob of picking 1 u and 2 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.473814cm in nanometers?\nAnswer: 4738140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 - 2*m + 5*m - 9*m - 2 + (m - 1 + 1)*(0*m + 0*m - 2*m).\nAnswer: -m**2 - 6*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i - 7. Let j be l(-5). Suppose y + 9*y + 20 = 0. Let a be (-78)\/(-3) + ((-4)\/y)\/2. What is the greatest common divisor of j and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 10:42 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -374634 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2407878 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5556804862 minus 50?\nAnswer: -5556804912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 49948 (base 11) to base 3\nAnswer: 10122022222","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 7*x. Let o be b(5). Let s = 10 - o. Solve -15 = v - 3*j, s = -4*v - 5*j + 42 - 17 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 17 + 10 - 5*v + 4*v - v - v. What is i(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**2 + 7\/3*t**3 + 0 - 1\/24*t**4 + 0*t. Is n(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -8. Suppose -5*i + 0*i = s. Let b = i - -18. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/((-20)\/26*4). Let w = m - 24\/5. Let t = 6 + -3. What is the third smallest value in 0, t, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -214, -360, -506, -652?\n\"Answer: -146*r - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 equal to -210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (58*d - 166*d + 30*d)*(4 - 4 + 1) + 3*d - d - 3*d + (0 + 0 + 1)*(-d + 5*d - 2*d) - 2*d + 3*d - 7*d + (-1 + 1 - d)*(-1 - 1 + 0) to o + s*d and give s.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -94*m**2 - 17*m - 17. Let f(t) = 2*t**2 + t. Let q(c) = -25*c**2 - 3*c - 6. Let y(k) = 3*f(k) - q(k). Give 6*n(w) + 17*y(w).\nAnswer: -37*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 5:21 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20*4\/(-24))\/((-12)\/18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t**5 - 34838*t**3 - 2758*t?\nAnswer: -20*t**3 - 209028*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (104 + -91 + 5 + -7 + -18).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4800 = 20*s + 220*s for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w + 5. Let l(f) = -9*f - 11. Let i(m) = -6*l(m) - 13*n(m). What is i(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 8 = q, 4*s - 6*q = -3*q + 4. Which is the nearest to -1\/3? (a) 5 (b) -1\/2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 v when two letters picked without replacement from {h: 1, y: 1, v: 3, s: 2, e: 10}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d**3 - 13*d**3 - 957 + 18*d**3 + 957.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/333 and -79\/1264668?\nAnswer: 140378148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 360580369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -824*r - 862*r + 2457*r - 843*r - 432 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 - w - 1. Let t be f(2). Suppose -15 = -4*z - m - 17, 5*z = 3*m + 6. Sort z, t, 4.\nAnswer: z, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 250, 572, 972, 1450?\n\"Answer: 39*z**2 + 205*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15910\/41 - -388. What is the smallest value in 1\/4, 0.05, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + (sqrt(88)*1 - sqrt(88))*-2)\/sqrt(8) + -4)**2.\nAnswer: -8*sqrt(11) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2957 + 2957 + 32*r**2 + 13*r**4 + 2*r**5 wrt r.\nAnswer: 120*r**2 + 312*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 2:33 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + v - 4 + (-1 - 5 + 4)*(-3*v + 4*v + v) - 2*v - 2*v + 3*v + (11 + 4 - 7)*(1 - 1 - 2*v) + 78 - 185 + 107 + 904*v.\nAnswer: 884*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1267, -1258, -1229, -1174, -1087, -962?\nAnswer: -793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ylfwlvwv. Give prob of picking 2 l and 1 y.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(-8\/3))\/x*x*x**8\/x)**13 assuming x is positive.\nAnswer: x**(247\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*j - 18*j = -52 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*z + 22584 = 4790. Calculate the remainder when 19 is divided by 6\/(-14) - (-4 - z\/98).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1286004 take away 0.1?\nAnswer: 1286003.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -76*c**2*o**2*v + 62*c**2*o**2 - o**2*v**2 wrt v.\nAnswer: -76*c**2*o**2 - 2*o**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*b**2 - 2*b**2 + 53*b**2 + b**2.\nAnswer: 68*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 18 + ((2 + 2 - (-37 - -21)) + -9 - 9)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/2)*i**(-2\/27))\/((i*(i*i**7)\/i)\/i)**1 assuming i is positive.\nAnswer: i**(-301\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - 17) + 6 - -11.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 10*f - 9 - 15*f + 7*f. Suppose 0*n + 3*v + 345 = -2*n, 155 = -n - 5*v. Let d be 72\/n*(-1 - 19). Calculate o(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5401 at most -5386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 19. Suppose y = -6*z + 5*z + 379. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*l**3*s*y + 1268*l**3*s + 6*l**3*y - 2*l**3 - 3*l*s*y wrt y?\nAnswer: 7*l**3*s + 6*l**3 - 3*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*u - 5. Suppose -u*i = -12*i. Suppose i = -8*a - 1073 + 3473. Does 30 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 70623.\nAnswer: 282492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 5*x + 5. Let c be j(0). Suppose -c*g + 10 = -3*b, -5*g - 3*b + 10 = -0*b. Solve g*u - 6 = -u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 18 + 1)*(4 - 1 - 1)*(4*o + 16 - 16) to the form i + m*o and give m.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 113*u**4 + 186*u + 8*u**4 + 10504 - 10502 - 5*u**2 - 884*u wrt u?\nAnswer: 1452*u**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 3*l + 1 - 4, -2*z = -2*l - 18 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000153406875 to 7 dps.\nAnswer: 0.0001534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from bcyybybcbcbcbybtblxt.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1394*g = 17522 + 106544 for g.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7\/286 + 187937\/1430. Let k be 3 + 774\/4*(-12)\/(-18). Let m = q - k. Which is the closest to -0.06? (a) -3 (b) 0.5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (61 - 27) + (-44 - 0)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 2\/3, -1.4 in descending order.\nAnswer: 2\/3, -0.2, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -92 + -2011592.4\nAnswer: -2011684.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -878559 and 0.3.\nAnswer: -263567.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1845 divide 28492704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 18 = -5*h. Suppose 0 = h*k - 2947 - 2649. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39 or 9173\/242?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 672963.3 centuries in years?\nAnswer: 67296330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.15 (b) -5\/6 (c) 0.1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 195 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -144\/265 + 2269\/3922. What is the common denominator of i and -41\/22?\nAnswer: 4070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 19 = 5*t. Calculate the highest common divisor of 32 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 12, p: 6}.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*((m\/((m\/(m**(-9)*m*m))\/m)*m)\/m)\/m*m*m))\/((m\/(m*(m*m*m*m**(-9))\/m))\/m*m))\/(m*m**(-16)*m*m*m*m**(-1\/21)) assuming m is positive.\nAnswer: m**(211\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 - 35. Let q(s) = s**3 - 3*s**2 - 24*s - 26. Let w be q(c). Solve 4*t - 27 = -5*u - 1, w*u = 4*t - 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**3 + t**2 - 2*t**4 - 4*t - 2 - 4 + 7 + 1 + 3*t**3 to the form o*t**4 + s + n*t**3 + a*t**2 + q*t and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5152355266 + 5?\nAnswer: -5152355261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a + 5. Let n(g) = g - 3. Let z(x) = -6*f(x) - 11*n(x). Suppose 0 = l - 5*l + 2*p + 12, l + 5*p = 25. What is z(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -18*n. Let a(m) = -m**2 - 7*m - 4. Let b be a(-3). Let f(o) = 12*o. Give b*f(t) + 5*v(t).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6*u**2 - 3*u + 4. What is v(2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 12*l - 208. Sort l, -4, -2 in descending order.\nAnswer: l, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*c. Suppose c = -2*z - z + 3. Let f(j) be the first derivative of -2*j**2 - 2. Let t(q) = q. Determine z*f(d) + 6*t(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3617420 (base 9) in base 14?\nAnswer: -390727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j + 6. Determine q(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 221*w**2 + 119*w - 119. Let o(l) = -11*l**2 - 6*l + 6. Determine -6*b(m) - 119*o(m).\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2183535?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1583 is divided by 199?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**3 - 4 + 4 + (-4*a**2 + 3*a**2 + 2*a**2)*(-2*a - a + 2*a) - a**3 + 2*a**3 - 2*a**3 - 3*a**3 + 5*a**3 + 9*a**3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 135, -4\/3, -0.3, 7, 0.169 in decreasing order.\nAnswer: 135, 7, 0.169, -0.3, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 236432123 a multiple of 5700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 19*o**2 - 3*o - 27. What is w(-19)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**11\/(l*l**1))\/(l**5\/(l*l**(-2\/33)*l)) assuming l is positive.\nAnswer: l**(196\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - 5*n + 33, 5*r - 5*n - 1285 + 1290 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j - 5. Suppose 0 = -2*v + 2 + 8. Suppose g + x = 3*x - v, g = -4*x + 19. What is the units digit of s(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41429336 to the nearest 100000.\nAnswer: 41400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5339 + -5339. Let h = 19 - 22. Which is the nearest to -0.56? (a) l (b) -5 (c) h (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of w**3 - 1131*w**2 - 1319*w + 17685734?\nAnswer: 3*w**2 - 2262*w - 1319","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 1917*r - 1281. What are the prime factors of n(6)?\nAnswer: 3, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189458*p + 189506*p = 1296 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -97 + 73. Let g = 26.45 + i. Round g to one decimal place.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/2940912 and -181\/1440?\nAnswer: 29409120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 + 9585596 - 9585596.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8829 is divided by 1758?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000011011011111 + -1010?\nAnswer: 110000011011010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40900*y - 1371.\nAnswer: 40900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 m when four letters picked without replacement from uppmwuwmuwwmwpwwmmww?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2566 + 1802. Let v = -763.9 - r. Do v and -254 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47.0632 + 26.0606. Let z = -21 - f. What is z rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**2\/2 - 105*w + 2064 = 0. Calculate w.\nAnswer: -86, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*c + 497 = 709 + 976 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -263425, -1053757, -2370977, -4215085?\n\"Answer: -263444*n**2 + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79 and 298541?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**5 + 2*g**4 - 93*g**3 + 306*g**2 - 216*g = 0. What is g?\nAnswer: -12, 0, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(1\/28)\/i*i)\/(i*(i*i*i*i**(-8)*i)\/i))\/(i**0)**(4\/15) assuming i is positive.\nAnswer: i**(141\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1612 - -1611.9922. Which is the second biggest value? (a) 1\/2 (b) -0.2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2776 - -1706. Let k = -1063.03 - s. Round k to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 13. Let b(o) = -4*o**2. Give d(b(j)).\nAnswer: 16*j**4 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 18122*z - 89797. Give l(5).\nAnswer: 813","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7042182 divided by 3521091.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4938 by -823.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*r - 78. Suppose 4*j - 244 = 976. Let y = 625 - j. Calculate the highest common divisor of r and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10423.84 and -257378.\nAnswer: -267801.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 215 and 559?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 9:50 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50008 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (5892\/6874)\/((-9)\/(-21) + 1)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(4455)*4)\/(sqrt(30)\/(sqrt(216)*4 + sqrt(6))))**2.\nAnswer: 142560000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 5 (b) -3 (c) 0.4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1015, 2023, 3031, 4039, 5047, 6055?\nAnswer: 7063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14497, 14486, 14463, 14422, 14357, 14262, 14131, 13958?\nAnswer: 13737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 3:55 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/580 at most as big as -62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -7*f**5\/5 + 6*f**4 - 3*f**3 - 8*f**2 + 12*f\/5 = 0?\nAnswer: -1, 0, 2\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 66 = -t, -7*o = -2*o + 25. Suppose -2*x + 106 = 3*x - 3*f, 2*x - 3*f - t = 0. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/9)\/(((-45)\/54)\/((-1)\/1))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 483870 and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -20 + 19 + 2*m + 1. Let i(j) = -229*j**2. Give i(p(h)).\nAnswer: -916*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 10 (c) -2 (d) 38.3 (e) 1\/2 (f) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 165392?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 49496939183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23311 less than -321442?\nAnswer: -344753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - 352. Let d = 635 + x. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 230, 462, 694?\n\"Answer: 232*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 902 and 14603626?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 11, -528\/5, 2.\nAnswer: -528\/5, 2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/13? (a) -4 (b) -10538 (c) 1\/5 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 948\/4*1\/3. List the prime factors of (10\/(z\/12328))\/1.\nAnswer: 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 390.3122 millilitres to litres.\nAnswer: 0.3903122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 4:06 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -304082 (base 10) to base 16\nAnswer: -4a3d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1848)\/5*10\/(-3). Suppose -15*n = -11*n - j. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2)*n**3)**47\/((n**0\/n)**24*(n**1\/n)**9) assuming n is positive.\nAnswer: n**(283\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 6:50 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 40180 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 36*s**2 + 34*s + 55. Let k be w(35). Solve 0 = -3*u - 2*x + 17, 0 = 10*x - 5*x - k for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -500897815*i**2 - 447633915*i wrt i.\nAnswer: -1001795630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 470130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31212 - -11?\nAnswer: 31223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -338 + 1355\/4. What is the closest to 1\/4 in 3, h, 0.07, 5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 10 - 4. Suppose -4*h = -h - o*k - 8, 2*h - 4*k = 0. Suppose 1 + 0 = -x, 0 = -3*c - h*x + 2. Solve 4 = -c*m - 0*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13 and 325.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*((sqrt(432) + 4)*4*1 + -4 + sqrt(432)*1 + 2))**2.\nAnswer: 1920*sqrt(3) + 11056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 630*g + 2*g**2 - 1 - 633*g + 2*g**3 + 3. Let o(j) = j**2. Calculate 2*o(p) - u(p).\nAnswer: -2*p**3 + 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -1236*l**2. Let h(z) = 138*z. What is v(h(a))?\nAnswer: -23538384*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 105*n**2 + 4*n**4 - 90*n**2 + 9*n**4 wrt n.\nAnswer: 312*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/13)*z\/z**(-3\/2))\/(z\/z**(3\/7)*z**0))**(1\/18) assuming z is positive.\nAnswer: z**(379\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**6\/120 + 11*s**5\/60 - s**4\/2 + 2*s**3\/3 + s**2 + 64*s. Determine a(10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 9:12 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r + 9 = 0. Suppose 3*m - 71 + 7 = 2*n, -5*m + n + 102 = 0. Suppose m = 11*i - 24. Solve -r*l = l + i for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 561*n**6 + n**5 + 9*n**3 + 68424*n**2?\nAnswer: 67320*n**3 + 60*n**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1072 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfbiqvhh. Give prob of sequence hv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 11) to base 9.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(56)\/sqrt(8) - sqrt(7)))**2 + sqrt(7) + 1*sqrt(7) + sqrt(7) + -3.\nAnswer: 1 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**2 + t. Let x = -260 + 264. Let i(l) = 16*l**2 - 7*l - 4. Let p(v) = 18*v**2 - 8*v - 5. Let m(r) = x*p(r) - 5*i(r). Give -17*h(s) + 6*m(s).\nAnswer: 3*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6328 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 3*d - 23. Let z be v(6). Let b(c) = c**3 - c**2 - c - 1. Let q(k) = 7*k**3 - 5*k**2 - 5*k - 5. What is z*b(f) + q(f)?\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*o + 2*w = 10, 0 = 2*o - 5*w + 11. Suppose 25 = 2*i + 3*a + 3, -o*i + 3*a = -22. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1130016*x**5 + 135051*x**2 - 2*x?\nAnswer: 67800960*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v - 179. Give k(37).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 10:44 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-303)\/(-707))\/((-2)\/(-14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28 and -0.057?\nAnswer: 1.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13026220?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 522 - 401. Calculate the remainder when t is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 18. Let v = b + 6. Let r(p) = 20*p**3 - 35*p**2 + 15*p + 3. Let c(q) = -7*q**3 + 12*q**2 - 5*q - 1. Let l(n) = v*c(n) + 6*r(n). What is l(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 95.6 * -2.\nAnswer: -191.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 4 - 7)*(11 + 0 - 3)*(9*w + 12*w - 113*w) to t*w + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**4\/4 - 2103*u**3 - 43928091*u**2\/4 + 10988328*u + 21968247 = 0. Calculate u.\nAnswer: -2674, -1, 2, 5477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w**2 - 14*w + 16. Let f be x(1). Sort f, 4, -1, -6 in descending order.\nAnswer: 4, -1, f, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 divided by 24?\nAnswer: -125\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**1\/v)**(-3)*v**(-2\/3)*v**(-9))\/((v**(-5)*(v\/((v*v\/v**(1\/4))\/v))\/v)\/((v*v*v\/v**(-2))\/(v*v**(-8\/5)))) assuming v is positive.\nAnswer: v**(-79\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 3*z - 15*z.\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**5 - 2323699*i**4 + i**2 + 68201044*i - 1 wrt i.\nAnswer: -60*i**3 - 27884388*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 18260 = -9*r. Suppose -5*s + 4*c + r = -2*s, 4*s + 3*c = 4911. Suppose 8*o = 2*o + s. List the prime factors of o.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2 - 2*i - 1. Let x be h(2). Suppose 0 = -x*d + 5 + 1. Suppose -8 = -2*q - d*q. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i**2 + i**2 + 2*i**2)*(-i**2 + 2*i**2 + i**2) + 2*i**4 + 4 - 4 - 3916037 + 3916037 + 1923*i**4 as t*i**2 + h*i**3 + l*i + s*i**4 + a and give s.\nAnswer: 1929","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**4 - 125*a**2 + 0*a**4 + a**3 + 125*a**2 - 44 to s*a + c*a**3 + l + v*a**4 + p*a**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1400 (base 5) in base 7?\nAnswer: -441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f**2. Let k(y) = -y**2 - 31*y. Calculate v(k(o)).\nAnswer: 6*o**4 + 372*o**3 + 5766*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2134 (base 6) in base 13?\nAnswer: -2b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -65\/8*p**2 + 15\/8 + 161\/4*p.\nAnswer: -(p - 5)*(65*p + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -821, -976, -1137, -1304, -1477, -1656?\nAnswer: -1841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 7*t**4\/6 - 43*t**3\/6 + 8*t**2. What is the units digit of i(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.05 (b) -3 (c) -10 (d) 0.1 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 3*c + 20 = -3*j - c, 4*c = 160*j - 160*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1753 + -1750. Solve -i*q = q + 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 + 76 = i. Suppose -6*h + 400 = -i. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/127347 and 46\/44217?\nAnswer: 110409849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -696, -707, -730, -771, -836, -931?\n\"Answer: -m**3 - 4*m - 691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -30 and (-6)\/(-2) - 23\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqszzszzez. Give prob of sequence oz.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 25 - 45 + 14 + 2*s + s**2. Let p(f) = -f + 5. Let w(c) = 10*c**2 - c + 1. Let o be w(1). Let a be p(o). Determine d(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158815.\nAnswer: 5, 23, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -19. Which is the third biggest value? (a) z (b) 2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -k + 25, 21*s + 105 = 3*k + 23*s. What is the remainder when 826 is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1628 + 557 + 647)*(-1 + 1 + 2)*(-3 - l**3 + 3) to the form s*l**3 + y + a*l + k*l**2 and give s.\nAnswer: 848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 534632801*t**3 - 2*t**2 + 551487488*t wrt t?\nAnswer: 3207796806*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*j**3*m*r**2 + 15*j**3*m + 2*j**3 + 777*j*r - 99651*m - 7*r**2 + 2 with respect to r.\nAnswer: 24*j**3*m*r + 777*j - 14*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3927\/86275 - (-31)\/899.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 8:23 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -35*g**4\/12 - 17*g + 19. Let w(q) be the first derivative of v(q). Let r(a) = -2*a. Determine r(w(m)).\nAnswer: 70*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 2*q - 14 = 45, 3*z = -5*q + 40249 - 40085 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 10:59 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*i = -2*i + 6, 2*g - 2*i = 2. Let m be 1\/(-2) - (-1)\/g. Suppose 2*j + m*j = 6. Solve j*u - 4 = u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/1111 and 51\/8.\nAnswer: 8888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 + 2532*l**3 + 520*l**3 + 2*l**2 + 690*l**3.\nAnswer: 3742*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*m - 26011 + 21586 = 84*m for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - u + 0*u)*(413 + 637 + 240).\nAnswer: -1290*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 743444780 to the nearest integer?\nAnswer: 27266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -49*q**5\/20 + q**4\/12 - 34*q**2 - 11*q. What is the derivative of w(b) wrt b?\nAnswer: -147*b**2 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**2 - 41798851*b - 41798852 = 0.\nAnswer: -1, 41798852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112609, -112594, -112579, -112564?\nAnswer: -112549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of 139*d**4\/12 + d**3\/3 - 3*d**2\/2 - 21*d. List the prime factors of g(1).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09651 to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -612 - 27*f + 612 - 2*f + 0 + 0 + (-3*f - 2*f + 2*f)*(0 - 2 + 3) + 2*f + 2*f - 6*f.\nAnswer: -34*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1004, -3761, -8388, -14885, -23252, -33489, -45596?\nAnswer: -59573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 1)*(-18*a + 18*a + 10*a)*((4*a - 2*a + 0*a)*(1 + 3 - 6) + (-7*a - 1 + 1)*(4 - 1 + 0)) to i*a**2 + w + b*a and give i.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 1959 = 4*q + 2540, 8 = 2*q. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**7\/21 + 127*s**6\/60 - 49*s**5\/3 + 149*s**4\/3 - 56*s**3 + 147*s**2 + 7*s. Let u(a) = 0. What is a?\nAnswer: 2\/5, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/5)*o*o*o\/(o*o**8)*(o\/o**(-6))\/(o\/(o*o**(-1\/2))) assuming o is positive.\nAnswer: o**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*p - 5*p - 2 + 14*p)*(-12 - 48 + 16) + 0 + 0 + 2*p + (-1 + 4 - 4)*(-2*p + 4 - 4).\nAnswer: 92*p + 88","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83108 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 3104 (b) 3\/4 (c) 204 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -438*l**2 + 8*l - 5. Let o(m) = 2409*m**2 - 45*m + 27. Give 5*o(f) + 27*t(f).\nAnswer: 219*f**2 - 9*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u + 6. Let t(x) = -x - 4. Let p be t(-10). Give n(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -46103 from 77816.\nAnswer: 123919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*g = 101 + 226 + 195 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/4)\/(-8*(-9)\/72)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 5)*(-3 - 2*c + 3)*(2*c + 5*c - 5*c).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -135*d - 264. Calculate i(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 15 + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -4*n - 4*u - 7, 5 = -5*u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-68 + 4)\/4)\/(-2). Let r = 7 + -2. Suppose -a = -r*a + 128. What is the greatest common factor of a and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(64\/31 - 26\/403). Put 12, 20, z in descending order.\nAnswer: 20, 12, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 791057400 to the nearest one hundred thousand.\nAnswer: 791100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**3\/5 + 506*r**2\/5 + 249008*r\/5 + 495976\/5 = 0.\nAnswer: -247, -2, 502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3446*o - 706. What is the ten thousands digit of k(17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-8))\/((-306)\/544)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 18. Let s be q(19). Calculate the remainder when -1 - s\/(4\/104) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 2*i + o + 2514, 0 = 5*i - o - 4192. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/14 and -145\/9318.\nAnswer: 65226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(11)*2))\/((1*sqrt(15))\/sqrt(5)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20\/7 + 33\/14. Let o = -4.9 - -0.9. Let n = 0.08 - 0.38. Which is the closest to m? (a) o (b) n (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -8. Differentiate 2 - b + 0 + 0 + 3*c**4 wrt c.\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 668 is divided by 252.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 1. Let d be (w - 1)*3\/(-3). Let o be (d + -1)*(-5 + 5). Which is the closest to 0.1? (a) 3 (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**2 - t. Let o be f(-1). Calculate the remainder when (-1986)\/(-45) - 2\/15 is divided by 465\/20 + o\/8.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pth. What is prob of picking 1 h and 1 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2152, 4205, 6252, 8293, 10328, 12357, 14380?\nAnswer: 16397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -822667.081 to the nearest 10000.\nAnswer: -820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of w**2 - 2*w - 3. Let i be x(3). Let z(b) = 2*b**3 - 3*b**2 - b + 3. Is z(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c - 2. Let j be r(-6). Suppose -4*v + u - 4 = 0, 5*v + j*u - 9 = 7. Let q(n) = -8 + v + 4 + 3*n. Give q(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1002526?\nAnswer: 2, 7, 101, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -5, -3\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, p: 1, y: 1, s: 1}. Give prob of picking 1 x, 1 s, 1 y, and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 1926 = 5*q + 1924, -4*q - 5 = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-207)\/(-120))\/((-2)\/((-24)\/27)). Let r = y - 1\/6. Suppose -r*m**3 + 3\/5*m + 9\/5 - 9\/5*m**2 = 0. What is m?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 - u**2 + 2*u**2 + (2*u + 5*u + 2 - 5*u)*(-15 + 15 + 4*u).\nAnswer: 9*u**2 + 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 996036500 rounded to the nearest 100000?\nAnswer: 996000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*h - 51*h - 3726 = -4*j, -4*j - h + 3718 = 0. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3820770 is divided by 106110?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 14*c - 22 = -12*c, -4*n = c - 97. Let b = -707 + 420. Is b\/(-2) + 36\/n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-5))\/(24\/15). Let y = -164141\/288898 + -4\/4981. Let o = y + 2\/29. Which is the third biggest value? (a) 0.3 (b) o (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -9\/2*p**3 + 3\/20*p**5 - 1\/4*p**4 + 27\/2*p**2 + 0 + 99*p. Suppose n(l) = 0. Calculate l.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 9:04 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 289494866 and 1506.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*l - 2*k, -68*k + 67*k - 27 = -5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1455 (base 12) to base 16\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -4, 90, -0.4, 24\/11 in decreasing order.\nAnswer: 90, 24\/11, -0.4, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11\/3 + 4. Let w(g) be the first derivative of -1\/9*g**3 - 1\/3*g + r*g**2 + 2. Determine k, given that w(k) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 15 + 1 = 0. Let q be -547*(6\/2 - a). Let t = q - 134. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 306 and -3.\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + z - z - 3*z)*((-7*z + 3*z + 2*z)*(-2 + 5 - 2) - 2*z - 5 + 5 - 10*z - 13*z + 10*z).\nAnswer: 51*z**2 - 34*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -7*w**3 - 3*w**2 - w - 7. Is f(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 607*i**4\/4 + 443*i + 509. Find the first derivative of q(w) wrt w.\nAnswer: 1821*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53 + 52 - i - 21 - 161 - 2*i to w + h*i and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2216966 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 3, -4*c + 78 = -7*v + 4*v. Let y = 35 + v. Solve -y = -2*m + 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -0.2, -1, 0.08, -2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p\/(p\/(p*(p*p**(-1\/5))\/p*p)))))\/(p\/p**(1\/5))*((p*p*p\/(p**(-13)\/p))\/p*p)\/p**(-14) assuming p is positive.\nAnswer: p**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1056 divided by 136239?\nAnswer: -352\/45413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 3. Let l = 8 + -5. Let k be 3 + l + -12 - -2. Sort k, t, -5.\nAnswer: -5, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -11. Let t = -3.5 + j. Let y = 872 + -877. What is the second biggest value in y, -0.1, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 166574613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38774*x - 74 = 16*c + 38772*x, -5*c + x - 33 + 11 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -102, 0, 5.\nAnswer: -102, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 0.4973, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38.9 or 3?\nAnswer: 38.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103633 (base 14) to base 2.\nAnswer: -10000101100111001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 283.65 + -16805.642\nAnswer: -16521.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 604 - 5?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 - 344*w**3 + 99 - 55 - 3.\nAnswer: -344*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -4*c - 4. Let o be 2\/((-18)\/14 - c). Let r = o + 16. Calculate the highest common factor of r and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 14*c**2 + 2*c - 4. Let i be k(-4). Suppose 6*v - 4*v = i. Suppose q - v - 7 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 - -53. Calculate the highest common divisor of 28 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301.4 times -0.5?\nAnswer: -150.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09 - 122.63210007.\nAnswer: -122.54210007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25972*i**3*q**4 - 10*i**3*q**2 - 2*i**3*q - 10*i**3 + i*q**4 - 7*i*q**2 wrt q?\nAnswer: 623328*i**3*q + 24*i*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 21 - 47. What is the remainder when 49 is divided by u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (66465264 + 1)*2\/5. Suppose 59144424 = 3*y - 7*y. Let n = y + b. Round n to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4504069 is divided by 798?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, m: 14}. Give prob of picking 2 m and 1 w.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 111823\/205029 - -1\/18639. Suppose 0 - 2\/11*j**4 - c*j**2 + 8\/11*j**3 + 0*j = 0. What is j?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2040 and 1047336?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**3)**(-2\/35)\/(i**(2\/7)\/i)**(3\/10))**(-1\/6) assuming i is positive.\nAnswer: i**(-23\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*n + 32*n + 168 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6*h + 74. Let d(c) = 2*c + 1. Calculate -4*d(l) + z(l).\nAnswer: -2*l + 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 30*z**3 - 4*z**2 + 17*z - 1339. Let i(j) = 2*j**3 - j**2 - 4. Let q(l) = g(l) - 4*i(l). What is the derivative of q(b) wrt b?\nAnswer: 66*b**2 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 42615.\nAnswer: 1\/42615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = n + c, 2*n + 0 + 1 = -c. Suppose -h - h = 8. Let k = h - -7. Sort 5, n, k in decreasing order.\nAnswer: 5, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -8*r**3\/13 + 10910*r**2\/13 - 464896*r\/13 + 453994\/13 = 0.\nAnswer: 1, 43, 5279\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -552 - -830. Suppose 5*x - o - 12 = 0. Suppose -61*r = -x*r - 198. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 9:41 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -4*b**5 - 188*b**4 - 1144*b**3 - 960*b**2 = 0?\nAnswer: -40, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10.7108 and 142.9.\nAnswer: 132.1892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1359 is divided by 667?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02644 to three decimal places.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3*j + 15, 3*j + 4 + 5 = -3*f. Let v(y) = -y**3 - 3*y**2 - 2. Let s(n) = -n + 1. Let b(a) = s(a) - v(a). Determine b(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + 6\/8*(-20)\/(-5). Is a at least 1\/322?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 3630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 2, c: 1, z: 1, h: 1, j: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*r + 8 = 0, -6*q - 4*r + 8 = -4*q. Let m be q\/((-1 - 16) + 3). What is the second smallest value in -4, m, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1163, 1.4, 4\/21?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 117 = -655. Suppose x = -u + 134, 5*u + 3*x - o = u. Does 34 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(171) + -1)**2 + sqrt(171) + (-1 + sqrt(171) + -4)**2.\nAnswer: -57*sqrt(19) + 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 12 - 1. Let j(l) = -l**3 - 13*l**2 - l + 2. Let q be j(z). Does 22 divide (-4)\/(-6)*4*q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 30*r**2 + 86*r + 144. Calculate y(-27).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {n: 1, r: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 2*g + 6. Does 28 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**3 - 3*m**2 + m - 1. What is g(3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8201115 is divided by 9362.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/6 (b) 2\/37 (c) -3 (d) 896 (e) -0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -694120*w + 1165*w**2 + 694120*w.\nAnswer: 1165*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-6 + 4) - 0 - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.06, -4, -0.195 in increasing order.\nAnswer: -4, -0.195, -0.1, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 7012?\nAnswer: -700a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 845 is divided by 824?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52149456 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - 22 - 15) + (-15 - -7) + 0.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x - 5 = -f, 4*x + 4*f = 4. Let r(q) = 7*q + 5 - x*q - 5. Let z(s) = 2*s. Determine r(z(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jff when three letters picked without replacement from {j: 2, f: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -162*o - 282 + 154*o + 5*o**2 - 428 - 141 - 118*o wrt o?\nAnswer: 10*o - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(156) + sqrt(156) + sqrt(156)*1))\/(sqrt(1728) - (2*sqrt(1728) + sqrt(1728))))**2 + 1.\nAnswer: 133\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 5, -16, -1797, 1 in descending order.\nAnswer: 5, 3, 1, -1, -16, -1797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 5*j - 5*s - 2103, 407 = j + s. What are the prime factors of j?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 9. Find the first derivative of -4*b**3 - s + 2*b**3 + 0*b**3 + 3 wrt b.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -198.5 - -199. Which is the nearest to -1\/6? (a) -0.3 (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 83\/4*i**4 - 15\/2*i + 0 - 225\/4*i**3 - 9\/4*i**5 + 181\/4*i**2 = 0.\nAnswer: 0, 2\/9, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.39736 - 0.128435.\nAnswer: -1.525795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.26, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(132)*2 + sqrt(132)) - sqrt(132) - sqrt(132))\/sqrt(12).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -5*p**5 + 325880*p**4 - 7077025080*p**3 + 51147872339680*p**2 + 1334634479737520*p = 0.\nAnswer: -26, 0, 21734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5226400 - 3?\nAnswer: -5226403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/25 (b) -0.1 (c) 0.2 (d) 0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 657738517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2498 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2197 at least 500?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1532 + 1290. Let m = 104434\/37 - v. What is the common denominator of 25\/7 and m?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jl when two letters picked without replacement from jjjjjjjjjljjjjjjlj?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3\/5 - 112*r**2\/5 + 22874*r\/5 + 18632 = 0. Calculate r.\nAnswer: -137, -4, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - r + 20. Suppose -w + 3*f - 142 = 0, -3*w - 2*f - 187 = 228. Let v = 136 + w. Put 2, r, v, 0 in decreasing order.\nAnswer: 2, 0, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 6*l - 1 - l**2 + l**2. Let y be n(5). Suppose 3*z**2 - y*z**2 - 5*z**2 - 16*z + 0 - 8 = 0. Calculate z.\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 19182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16740\/(-3720))\/((-90)\/880).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 719796 divided by 77.\nAnswer: 9348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p + 56. Calculate h(19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1421.91989 to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 20 = 5*l, 0 = 2*l + v + 2*v - 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/96 and 9100\/3136 - (-1 + 4)?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5*i - 45 = 0, -g - 5*i - 21 = -4*g. Suppose -13 - 7 = -5*w, m + g = 3*w. Solve m = 4*c - 5*o + 2, 3 = -0*c + c - 3*o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 6086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18 - -13?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 + -142.443096737?\nAnswer: -142.603096737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4331 (base 6) to base 14\nAnswer: 50b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4104033?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 13*c**3 + 11*c**2 + 17*c + 19. Let g(n) = 8*n**3 + 8*n**2 + 11*n + 12. Give 8*g(b) - 5*x(b).\nAnswer: -b**3 + 9*b**2 + 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 8*u**3 - 93*u**2 + 19*u - 16. Give w(11).\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77 + 81. Suppose -3*d = -5*j + 15, 31 - 19 = h*j + 2*d. Let z = 11 + -7. Is j at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4*(0 + (sqrt(612) + 1 + sqrt(612))**2 + sqrt(612)*2*3) + 4.\nAnswer: 240*sqrt(17) + 9803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 72410070?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 943261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q + 0*q + 0*q)*((-2 + q + 2)*(0*q - q + 4*q) - 4*q**2 - 8 + 8) in the form m*q**2 + o*q**3 + d + f*q and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 8 - 0. Suppose d - 4 - f = 0. Suppose n = i + 36, d*n + 5*i = 3*n + 76. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + u = -3*i - 26, -5*u + 26 = -i. Let y be 12\/(-66) - i\/22. Let x(n) = 3 + 0 - y + n**2 + 5 - 7*n. Give x(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 550 (base 9) to base 13.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2152 + 195834\/91. Let g = t - 137\/2093. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7530 less than -7620?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - c = -3*c + 488, -5*z + 3*c = -493. Is 49 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 37. Let t be (-4)\/(-3)*n\/(-4). Find u, given that 2 + 2*u**4 - 1 - 2*u**2 - u**t = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/3 - (-28)\/(-12). Let c(u) = u**2 - 2*u + 3. Let y be c(r). Let b = y + 6. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38.81 - -37. Let h = -1.6 - o. What is h rounded to 2 dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -1\/9, -3\/13, 354\/7, -2\/11?\nAnswer: 354\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -7 + 4 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4*(2*(sqrt(5) + sqrt(5) + 0) + sqrt(20)\/sqrt(16)) - (1*sqrt(200) - sqrt(50))\/(sqrt(20)\/(sqrt(2) + (-1*sqrt(2) - sqrt(2))))).\nAnswer: 1 + 19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - n + 16 = 0. Suppose -110 - 238 = 3*h. Let q = h - -118. Solve -1 = -n*p - 5*v, -9 = -p + q*v + 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1700) + -2*(-1 + sqrt(1700))**2 + sqrt(1700)) + ((sqrt(1700) - (sqrt(1700) - sqrt(1700)*-2)) + 5 - (sqrt(1700)*-1 + -3))**2.\nAnswer: -11844 + 80*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**0\/x*x*x*x))\/(x*x*x**(-2\/5))*(x**(2\/5)\/x)\/x**(-2\/3)*((x**(1\/3)\/x)\/x*x*x**3)\/(x**(-2\/3)*x**(-8)\/x) assuming x is positive.\nAnswer: x**(142\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -168 - (96 + -243) - (58 - 0)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -849.18 - -862. Let y = b + 0.18. Let c = 13.0000027 - y. Round c to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.03 + -0.17. Let m = 0.12 + 0.18. Sort m, o, 0.05.\nAnswer: o, 0.05, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4\/5 + 424*q**3\/5 + 5096*q**2 + 307328*q\/5 = 0. What is q?\nAnswer: -98, -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + -19. Let u(s) = 8 - 3*s**2 - i - 5. Let z(h) be the second derivative of h**4\/12 - 2*h. Determine z(u(b)).\nAnswer: 9*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 3*j**2 - j - 2. Let x be y(1). What is the second derivative of 4*r + 2*r**x - 2*r**5 - r + 2*r**5 wrt r?\nAnswer: 40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -783 - -785. What is the first derivative of -17*s - 11*s - 8*s**2 + 45*s + 68 - 15*s - 20*s**i wrt s?\nAnswer: -56*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (30797\/14214)\/((-2)\/12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2. Let d(p) = -2544807*p**2. What is d(u(g))?\nAnswer: -10179228*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -8*x**2. Let u(p) = p. Let o(z) = 2*z. Let f(i) = -o(i) + 4*u(i). Determine f(q(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - x. Suppose -22 = 3*j + 4*i - 0, 0 = -5*i - 20. Let g(d) = -33*d**2 + 5*d + 6. Let p(o) = j*w(o) - g(o). What is the derivative of p(h) wrt h?\nAnswer: 62*h - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.15389 milligrams to nanograms.\nAnswer: 8153890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2135 + -15905?\nAnswer: -137b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1029274 = -l + 3*m, l - 1029286 = -4*m + m. What is l rounded to the nearest ten thousand?\nAnswer: 1030000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/4 + (0 - 132\/(-54)). Which is bigger: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2106523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/14645 and 63\/111302.\nAnswer: 556510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 6\/7, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x - 16. Let w be j(4). Let g(v) be the second derivative of v**5\/20 - v**4\/12 - 5*v**3\/6 - v**2\/2 + 2*v. What is the units digit of g(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/6*(-414)\/138 - (-332)\/(-60).\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*w + 6*w**2 - 61*w in the form u + g*w**2 + p*w and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 7. Let h be (-2)\/v - 4\/(-21). Let w = 1.791 - 1.391. Put h, 0, w in descending order.\nAnswer: w, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - 2. Let l(c) be the third derivative of -1\/120*c**6 + 0 + 5\/6*c**3 + 123*c**2 - 1\/24*c**4 - 1\/12*c**5 + 0*c. Give l(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112793.\nAnswer: 149, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3*(-8)\/12)\/(-4*5\/(-100)). Solve 8 - x = b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(124 + -2) - 2. What is the units digit of b\/(-10) + 8\/(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1265 - 1253. Calculate the remainder when 634 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5879062857 + 2.82.\nAnswer: 5879062859.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -86 + 66. What is the units digit of ((-8)\/h)\/(2\/6410)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38ba2 (base 14) to base 16\nAnswer: -220ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/338 + -4148\/845. Find the common denominator of r and -91\/92.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g**2 + 6*g + 6. Let j(o) = -o**2 - 2*o + 7. Let l be j(-5). Let h(z) = z**2 - z - 1. Let p(w) = l*h(w) - t(w). Determine p(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -281 - -285. Suppose -5498547 = l*h - 20778547. Round h to the nearest 100000.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i**2 + 141*i - 84. Suppose -3*c = 5 - 20. Let u(h) = -6*h**2 - 141*h + 82. Let g(o) = c*d(o) + 6*u(o). Factor g(t).\nAnswer: -3*(t + 24)*(2*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**4\/72 + 5*i**3\/18 + 25*i**2\/12 + 12*i. Factor z(j).\nAnswer: (j + 5)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 3382442559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003847218448 rounded to 7 dps?\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 154 and 1617.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, x: 8}. Give prob of picking 2 x and 2 a.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 8*r**2 - 15*r + 6. Let p be j(-3). Let m(s) be the second derivative of 13*s + 2\/3*s**3 + 0 + p*s**2. What is the derivative of m(y) wrt y?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55\/268 - 3\/67. What is the third smallest value in -2\/7, 0.4, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2985*h**2 - 2528*h**2 + 18 + 4439*h**2 - 15*h wrt h?\nAnswer: 9792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -2 + sqrt(320))*-1 + (1 + sqrt(320))*-4 + -2)**2.\nAnswer: 640*sqrt(5) + 8064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 14*w + 1. Suppose 5*v - 104 = -p, 2*v - 2*p = 3*p + 20. Let y be (-4)\/(-12) - v\/(-3). What is the units digit of i(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104.067 - 104. Let o = 0.148 - r. What is o rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {w: 7, z: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001030794 to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**8*d)**(-6)*d**(-11)\/(d**(1\/3)*d) assuming d is positive.\nAnswer: d**(-199\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 122527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8330\/(-42))\/(-7) - 16\/(-24). Solve 0 = c - 58*r + 53*r + x, -5*c - 1 = -r for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173726893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 + 723 - 723 + 0*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*s**3 + 2*s**2 - 561*s**3 + 268*s**3 + 154*s**3 - s**2.\nAnswer: 10*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53\/4 - 175\/12. Let v = -3.77 - 0.23. Let d = -1 + 1. Which is the closest to v? (a) d (b) -0.5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 3.1. Let d = 0.3 + x. Let c = -199\/20 + 223\/20. Is d < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1016 and 44831?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 5\/(-4 - -9). Which is smaller: -5 or h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 43 (b) -7\/6 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -14198.17479 to 0 dps.\nAnswer: -14198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence otro when four letters picked without replacement from {o: 4, z: 2, r: 4, t: 5, p: 2}?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - q**2. Suppose -4*c + 2*o + 2 = 0, 2*c + o + 6 + 3 = 0. Let l(f) = 51*f**2 - 17*f**2 - 17*f**2 - 19*f**2. Give c*m(g) + l(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 118.7 + 15.3. Let h = 134.1 - n. Which is the smallest value? (a) -6 (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 702 = -2*z + 2*q, q = 5*z - 876. Suppose 5*d - 205 - z = 0. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.8 less than -77624?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i + 3565 - 425. Let d be 45\/315 + i\/(-7). Calculate the greatest common factor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 595605 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 13 - 2 = 0, y = -4*m - 21. Let f be m\/(-14) + (-38)\/(-14). Solve t + 0 = -f for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-12))\/(11*(-75)\/495).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -1578*s - 37819. What is m(-24)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 + -29. Calculate the remainder when 4\/(-30) + ((-16828)\/105)\/(-2) is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 10 = -4*i + 8, -5*i + 9 = 3*o. Suppose -v - i*v - 3720 = -2*w, 5635 = 3*w + 5*v. List the prime factors of w.\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (10 - -9) + -15?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 529 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 67 = -3*q + 23, 2*q - 3*l + 52 = 0. Let a = -16 - q. Suppose a*c = 2*d + 244, -4*c + 224 = 4*d - d. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -209 and -418716 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gphfhhofffhfcpp. What is prob of picking 1 g, 1 p, and 1 c?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3042803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 5:35 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 7*w**5\/10 + w**4\/4 + 3*w**2\/2 + 1468*w. Let d(p) = -15*p**3 - 2*p**2 - 2. What is -3*d(j) - 2*f(j)?\nAnswer: 17*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 976621?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-205)\/(-4))\/((-2)\/(-8)). Suppose d = -5*u + s, -4*s = 4*u - s + 164. Let m = 13 - u. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(8\/7)*q)\/q**13)**17 assuming q is positive.\nAnswer: q**(-1326\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193462091?\nAnswer: 17, 669419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*w - 2*w - 50*w**3 + 58*w**3 wrt w?\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -432, -883, -1334, -1785, -2236?\nAnswer: -2687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2309 from 425.2291.\nAnswer: -1883.7709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -916 less than or equal to -912?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14 + -1)*(-2)\/6. Let w(d) = -d + 7. Let o be w(v). Find the third derivative of 2*f**3 + f**2 - 3*f**o - f**3 wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 0*u - 1\/12*u**3 + 0*u**2 + 6. Factor k(y).\nAnswer: -y**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 9*j - 10. Let v be u(-7). What is the least common multiple of 18 and v*6\/(-4)*-2?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 24.89. Let p be 28\/602 - (-288)\/(-645). What is the third smallest value in -3, p, g, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4478.433 and -1329.\nAnswer: 3149.433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4033*y**2 - 9 + 4033*y**2 + 3*y**3.\nAnswer: 3*y**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11357978?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1328 and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 7:33 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + 1. Let t(y) = -8*y**2 - 18*y - 32. Let x(u) = 15*u**2 + 36*u + 63. Let r(m) = c*t(m) + 5*x(m). Factor r(l).\nAnswer: 3*(l + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.17*-0.236\nAnswer: -0.04012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (-2*sqrt(119))\/sqrt(7) - sqrt(187)\/(sqrt(11)*-1))*6.\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2912762683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-9087)\/2330 - (-3)\/(-5))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 6*t**3 + 6*t**2 - 6. Let m = -5343 + 5348. Let y(k) = -6*k**3 - 5*k**2 + 5. Let j be -1 + -1 + 3 + 5. Calculate j*y(s) + m*g(s).\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.9077565 + 0.0922135. Let z = 24 + -18. Let q = z - h. What is q rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6586 - 6586 + 2*c + 130*c**2 to the form a + b*c**2 + w*c and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 99643.18 centuries in months?\nAnswer: 119571816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38 - -26) + 11 - -28 - 31?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.2 + 2.2. Let f = v - -0.01. Let d = f + 0.99. Which is the second biggest value? (a) -1\/4 (b) -3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 815 is divided by 117?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 > 83876?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 22 (b) -2\/11 (c) 48 (d) -6373 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -4*y, -2*y + 0*y + 2*p + 20 = 0. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3246481 to the nearest integer?\nAnswer: 1802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 19\/6)*((-35)\/50)\/(-7).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 784 and 2646.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -1bb?\nAnswer: 1c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4956603 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 8 + 2*f**2)*(32 - 3*f + 35 - 79) to the form k + h*f**2 + x*f + a*f**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p**4 - 237*p**3 - 888*p**2 - 483*p + 180 = 0. Calculate p.\nAnswer: -15, -4, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 a factor of 278244618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 1.53054 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 119259856 or 119259855?\nAnswer: 119259856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -33*b - 519. Let u be w(-27). What is the greatest common factor of u and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2745 and 1906677.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 + -56. Find the third derivative of 26*y**6 - 20*y**3 - 34*y**6 - 20*y**k + 20*y**3 wrt y.\nAnswer: -960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.518 take away -3044?\nAnswer: 3045.518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**4 + 2*f**5 + 0*f**4)*(-1586 - 1780 + 5087).\nAnswer: 3442*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/24 - ((-62)\/16 + 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 0 + (3 - 2). Let a be (4 + -10)*t\/3. What is the units digit of 4*(-1 + 5\/a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 864270.\nAnswer: 172854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 2. Is x at least 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - (-1 - 14)) + -7 + -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23475 and 1360725.\nAnswer: 425906925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - k = 13, 5*r + 3*k + 9 = -0*r. Which is the second smallest value? (a) -1\/47 (b) 0 (c) -6 (d) 2\/7 (e) r\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + t - 10 = 0, 94*o = 92*o - 3*t + 30 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -630.4 + 587. Round u to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 - 2*h**2 + 2*h**2 - h**3)*(-5 - 6 + 4).\nAnswer: 7*h**3 + 14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 414*u - 794*u - 27*u - 405*u - 1033*u in the form h*u + b and give h.\nAnswer: -1845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + n = -11, -4*u - n - 4*n = 37 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (8 - 1) + -7 - 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -3. Let r(q) = -q**f - 4*q**2 + 5*q + 0 - 2 - 3 + 0. Suppose 18 = -2*m - 3*h + 2, 5*h = -10. Give r(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 divided by -4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*q - 180, 13*g - 16*g - 3*q + 333 = 0. Calculate the greatest common factor of 7800 and g.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 647638420400+206\nAnswer: 647638420606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -2751.\nAnswer: 550.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 354818860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 12 (b) 1\/5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/2040 and 155\/816?\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15399732 is divided by 7166.\nAnswer: 7164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3\/2 - 86100*y**2 + 344409*y\/2 - 86103.\nAnswer: -3*(y - 1)**2*(y + 57402)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (10 - -18) - 0\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 1164985809 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 24.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -0.5 (b) -195 (c) 5\/2 (d) -5 (e) -138\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 132098?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3897*i**3 + 6623*i**3 + 13815*i**3 + 5736*i**3.\nAnswer: 22277*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w - 15*w = -12, 3*w = -3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001747701 to six dps.\nAnswer: -0.001748","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2639444 is divided by 18329?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631 is divided by 309?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4849298681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 29. Let n be z\/(-3)*6\/(-5). Suppose -50 = -u - n*u. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 97 - 91. Solve 34 - 76 + 3*b**5 + 42 + 9*b**4 + z*b**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4 + 11 = 0. Factor -15*q**3 - t*q + 3 + 3*q**3 + 11*q**2 + 13*q**2.\nAnswer: -3*(q - 1)*(2*q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/551459 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0*w + 15. Let k(z) = z**3 + 5*z**2 + 4*z + 6. Give k(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -111\/817 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 649389 divided by -2\nAnswer: -649389\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25\/37 or 0?\nAnswer: -25\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 + -31)\/((1 + -4)\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 3:01 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-1 - -10 - -8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 314*u**2 + 246*u**2 - 574*u**2 - 85*u to the form b*u + o + s*u**2 and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 12576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 59058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cpwwnp. Give prob of picking 2 n and 1 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7411651?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3881.223 kilometers?\nAnswer: 388122300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -778\/6179 - -12\/167. Is v bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 16*r**2 - 25*r - 66. Determine f(-13).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, z: 5}. What is prob of sequence mmz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rt when two letters picked without replacement from gtrttrrrtrt.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -66847 divided by -66847\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -18972, -37952, -56932?\n\"Answer: -18980*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2\/4 + 140*q.\nAnswer: 5*q*(q + 112)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2\/7 + 440*u\/7 - 63 = 0. Calculate u.\nAnswer: -441, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19761 + -948487\/48. What is the common denominator of 55\/27 and o?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y + 3. Let o(j) = -2. Suppose -9*k = -5*k + 8. Determine k*b(x) - 5*o(x).\nAnswer: 2*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30671999?\nAnswer: 4993, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 0*t**4 + 2*t**2 + 0*t + 0 + 1\/560*t**8 + 1\/350*t**7 - 1\/200*t**6 + 0*t**3 - 1\/100*t**5. Solve g(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-60)*0)\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (104 - (-86 - -94))\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -1\/7 (b) 3679 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.6 minus -270004290047?\nAnswer: 270004290053.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 4\/7 (b) 28 (c) 5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 32*w - 1. Let n(d) = 2*d**2 + 33*d + 3. Give -4*i(u) - 3*n(u).\nAnswer: -2*u**2 + 29*u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -4, -10968, 4, 1, 2 in descending order.\nAnswer: 8, 4, 2, 1, -4, -10968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 2*a = 20, -4*u + 2*a - 34 = 0. Let c = 9 + u. What is the lowest common multiple of (24\/72)\/((-3)\/(-45)) and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h**2 + 3*h**2 - 2240*h + 10*h**2 - 3*h**2.\nAnswer: -h**2 - 2240*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1576234 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - b = -4, 3*d + 0*b - 22 = 4*b. Let i be (2\/3 + (-505)\/1212)*(-8)\/(-3). Factor z**3 - i*z**d + 0*z + 0 + 3*z**4.\nAnswer: z**2*(3*z - 1)*(3*z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.579 - 36.579. Is 153 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j - 4. Let c be t(4). Let b(d) = -c*d - 1 + 0*d + d - d. Determine b(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 1042 - 1415. List the prime factors of x.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and 762217.\nAnswer: -6097736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h + 14*h + 11*h)*(389 - 66 + 176).\nAnswer: 15968*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16501 divided by 16501.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -5 (c) -2 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411 a factor of 691006208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 4*r = 3*b + 9, 0 = r - 3. Suppose -2*j + j - 10 = -5*d, j + b = 2*d. What is the remainder when 22 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -45? (a) 2 (b) -3 (c) 2\/3 (d) -15 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4368004 years to millennia.\nAnswer: 0.0004368004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 0.2, -0.9, 5, 20?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-5)*f*f*f*f)\/(f*f**(-2))*f**(1\/4)*((f*f*(f**(-1\/4)*f*f)\/f)\/f)\/f)**(1\/10) assuming f is positive.\nAnswer: f**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -912, 3, 0.5, -13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -15*y + 45. Let g be z(3). Suppose 580 = u - 2*c + 4*c, g = 3*c - 3. List the prime factors of u.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (342\/(-95))\/(11*((-24)\/(-15))\/(-8))?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 159*j - 4 - 76*j - 86*j to the form c + h*j and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.76 - 128.14. Let c = -134 - a. What is the second smallest value in 3, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0 + 2\/(-80))\/(-1))\/(588159\/427752).\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 74\/(-222)*(11 - 2). Sort 1\/8, 0.2, 0, 5, g in ascending order.\nAnswer: g, 0, 1\/8, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3659\/3 - (-58)\/174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3)\/p**(-7) assuming p is positive.\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3685 is divided by 1808?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 7:39 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14378.\nAnswer: 2, 7, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + -9. Let x = -100 + v. Let m = x + 134. What is the remainder when 94 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/2 of a tonne?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2, 57, 218, 539, 1074, 1877, 3002?\n\"Answer: 9*f**3 - f**2 - 5*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121629?\nAnswer: 3, 40543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + t**2 - t + 2. Let u be d(-2). Suppose -8*s + 237 - 21 = u. Let f(h) = -4*h - 5. What is the remainder when s is divided by f(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 88.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -10, 1, -0.1, 8, 23?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 179 - 90. Suppose -2*y - 5 + x = 0. Calculate the remainder when 82 is divided by y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1 + 2)\/1)\/8. Suppose -22*n = -5 - 39. Which is the closest to -1\/3? (a) -1\/6 (b) p (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 365\/20 + 2\/(-8). Let t = 21 - s. Solve -2*k = 3*k + t*i + 19, -2*k = -3*i - 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xbil when four letters picked without replacement from {x: 2, l: 2, i: 1, b: 7}?\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 65758448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 41054124 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 439.1 and 5.\nAnswer: 444.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5340 + 18668 = -k - 19806. Round k to the nearest 100.\nAnswer: -43800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-5))\/((-12)\/(-60)*-22)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*v**2 + 5*v**2 - 5*v**2 + 8*v**2 to the form l + h*v + z*v**2 and give z.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1057*k**4*o**2 + 145*k**4*o - 11*k + 434123*o**2 wrt k.\nAnswer: -12684*k**2*o**2 + 1740*k**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l + 2*l + 2*l)*(7 - 10 + 5) + 544 + 22*l - 544 in the form c + p*l and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1487662 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) - sqrt(42)\/sqrt(3))*-3)\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 68, -0.2, -4, 9.5, 3\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -46 + 13 + 1 + 4*z + 12. Let s(y) = 4*y**2 + 3*y - 2. Let t be s(1). Let c be k(t). Solve 0*l + 4*b = -5*l, -2*l + 4*b = c for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75f191 (base 16) to base 8\nAnswer: -35370621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.02, 0.7, -2\/7?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 33*a**2 + 60*a - 174. Calculate the smallest common multiple of 264 and y(-35).\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**5\/40 + y**4\/2 - 4*y**3 + 16*y**2. What is i in q(i) = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 0 + 0*h**2 - 11\/20*h**5 + 0*h**4 - 2*h + 3\/2*h**3. What is the second derivative of r(m) wrt m?\nAnswer: -66*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6673 - -6680. Let a be (-14)\/(-4) + 5\/30*3. Solve a*i + 2*m = f*m - 11, 4*i - 2*m = -14 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -62*q. Let n(o) = 7*o**2 - 5*o + 5. Suppose 42 + 0 = 7*l. Let b(t) = 4*t**2 - 3*t + 3. Let v(c) = l*n(c) - 10*b(c). Give v(x(r)).\nAnswer: 7688*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25.500001544 - 25.5. What is n rounded to seven decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1001 + 220?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -5. Suppose -3*c + 5 = -i. Factor -1 - c + t**2 + 3.\nAnswer: (t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + c - 5. What are the prime factors of u(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 221*p. Let j(v) = 424562*v. Calculate a(j(t)).\nAnswer: 93828202*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38197 or -10103?\nAnswer: -38197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -a**2 + 1\/2*a**4 + 0*a - 2 + 0*a**3. What is the second derivative of f(h) wrt h?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*z - 174*z**3 - 27*z - 33*z.\nAnswer: -174*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwpzpdwdwszggdp. What is prob of sequence zw?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*g = -6, 2*s + 6*g - 4 = 3*g. Solve s*v = 4*x - 2, -5*x - 1 = -3*v - x for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108)\/(-270)*35\/(-259)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 43, 92, 145, 202, 263, 328?\n\"Answer: 2*v**2 + 43*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**2 - 118332*f + 1750307778 = 0?\nAnswer: 29583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 399f2 (base 16) to base 13\nAnswer: 83573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -554 + 360?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 184 and 6145.2.\nAnswer: 1130716.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 less than 72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(1 + sqrt(396)*2))**2 + 0)*2.\nAnswer: 768*sqrt(11) + 50720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -3*a**2\/2 - a + 137. Let h(g) = 3*g. Determine -4*h(b) - 3*u(b).\nAnswer: -3*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 7 + 22. Solve 0 = -3*w + 4*w - q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 15*t + 4. Let b be k(-2). Let n = -18 - b. Let s(r) = 2*r - 2*r + n*r - r - r**2. Calculate s(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 23 - 2*9\/6. Let u be (24\/f)\/(3 + (-171)\/60). Is 5 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*l - 1382, 4*l + 4 + 0 = 0. Is r a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1868288?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 5, e: 3}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b59 - 14?\nAnswer: 1b45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3987 by 23872.\nAnswer: -3987\/23872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 157410472 to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -199142 divided by -8.\nAnswer: 99571\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 100489519237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvxxvxrxvv. Give prob of picking 1 r and 2 x.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2060 + 864*z + 2060.\nAnswer: 864*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n**4 + 820*n**3 + 46690*n**2 + 54980*n + 9135 = 0. Calculate n.\nAnswer: -29, -1, -1\/5, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 0.04508.\nAnswer: 1.04508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-110)\/((0 - -1)*(-15 - -18)). Which is smaller: -36 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*a = -45*a + 3. Which is bigger: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -1\/16*a**5 + 3*a + 0 + 5\/24*a**3 - 1\/4*a**2 + 1\/24*a**4. Solve t(j) = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256*n**2 + 256*n**2 - 1555786*n**3 + 1555781*n**3.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314 = -6*t - 278 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47663 is divided by 11563?\nAnswer: 1411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1 = -7. Let y = n + 12. Suppose -3*o - y = -t + o, -5*t = -o - 1. Is t equal to 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 14*r + 20*r**2 + 5 - 6*r**2 - 3 - 17*r**2 to d + j*r + b*r**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 110, 106, 102?\n\"Answer: -4*s + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06671 - -30.75671. Round x to zero decimal places.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*t + 0 = -25*t + 149 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(4\/18 + (-16)\/(-9)). Is w at least as big as -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 32eb - -23?\nAnswer: 330e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*4\/102*-2.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(40\/(-3)) + 144\/2688?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 779590 divided by 6?\nAnswer: 389795\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*y + 5*y. Let w(r) = 2*r + r - 5 - y. Does 6 divide w(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(2\/61)\/w)\/(w*w*(w\/(w\/(w**22\/w)))\/w))\/(w**(-31))**(1\/6))**(-14) assuming w is positive.\nAnswer: w**(45605\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 196100473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15182862036438 + 20.\nAnswer: 15182862036458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*u + 3*u + 19, -2*b - 18 = 4*u. Let d be 0 + u - (-11 + 9). Put d, 1, 2 in decreasing order.\nAnswer: 2, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + 23. Differentiate 4 - a*k**4 + 13 - 29 with respect to k.\nAnswer: -116*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/1661821 and 22\/1505.\nAnswer: 8309105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15730616 is divided by 64.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 64726.19 kilometers?\nAnswer: 64726190000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7a (base 13) to base 12.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-5)*((-1885)\/26)\/(-29)*2448\/(-476)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1037*a*t**2 - 2*t**2 + 172 with respect to a.\nAnswer: -1037*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11630076 = -832*b - 11575996 for b.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 413*j**2. Let u(i) = -6*i + 11*i - i - i - 4*i. Calculate a(u(t)).\nAnswer: 413*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -4*r + 22, 11*r - 29 = 6*r - 4*d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219955?\nAnswer: 5, 43991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3511 divided by -2\nAnswer: 3511\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 14*u - 2. Is 2 a factor of y(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(27) + sqrt(3) + -1*sqrt(3) + 2)**2*-1.\nAnswer: -31 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 10\/(-60)) + (-8)\/12.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 113552 and 7248?\nAnswer: 340656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-3178))\/(-1)*482. Let y = f + 2\/227. Is y greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14576641 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 j when three letters picked without replacement from jjjjbjbjjbjjjj?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 422 - 203. Let l = -206 + k. Calculate the remainder when 154 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mammaamammmmmmmmmamm. What is prob of sequence am?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(2*sqrt(104) - sqrt(104)) - sqrt(104)*1*-6)\/(4*(1*(sqrt(64)\/sqrt(8) - sqrt(8)) - sqrt(8))))**2.\nAnswer: 325\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 101322 (base 5) to base 15\nAnswer: ec7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -2 (c) 159\/2 (d) 31856 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q - 180 = 15*q. Suppose -2*l + 26 = 2*y, 3*l = 3*y - 5*y + q. What is the units digit of 3\/((-120)\/1984)*l\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(9\/2)*u\/((u*u\/((u\/(u\/u**(-12)))\/u)*u*u*u)\/u)*u**(-2\/7)*u**(-1\/12) assuming u is positive.\nAnswer: u**(-1669\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (c - 2*c - 4*c)*(-2 - 2 + 6 + (1 - 5 + 3)*(-3 + 6 - 1) + (-1 + 2 - 5)*(-3 + 0 + 2) + 1 + 1 + 0) in the form w*c + a and give w.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 355 - 232. What is the highest common factor of 82 and i?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 - 23552*w**2 - 27941780*w + 20686917416.\nAnswer: -4*(w - 506)*(w + 3197)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 4\/5, -2\/19, 0.4, 12\/427, 2\/15, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 2*n + 3 - 9, 5*n = -15 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*f + 3 = 0, 5*t - 170 = 4*f - 130. Find k, given that 20\/3 - 25\/3*k**2 + 0*k**3 + 5\/3*k**t + 0*k = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.2 (b) -518 (c) -7\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r - 2*r + 3*r)*(6 - 22 - 12) to the form k + n*r and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004478 rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5122*u**3 + 1 + 300*u**2 + 5126*u**3 - 4 + 3 + 296*u.\nAnswer: 4*u*(u + 1)*(u + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0, -2\/5, -0.6412.\nAnswer: -0.6412, -2\/5, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.94, 3\/7, -0.044, -12\/7, -0.1, 1\/4?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2564 divided by -4?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1535450 divided by 287\nAnswer: 5350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 9707.\nAnswer: -9706.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**4 - 5*g**4 - 3*g**4 + (1 + 0 + 3)*(-2*g**4 + 0*g**3 + 0*g**3))*(0*g + 5*g - 3*g).\nAnswer: -22*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence elna when four letters picked without replacement from {y: 4, s: 2, e: 2, n: 1, a: 4, l: 6}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 - -3.1. Let p = 4\/17 + -33\/68. Put l, p, -4 in ascending order.\nAnswer: -4, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 448545 and 7395?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.267361 - 0.069931. Let r = u + -2.211. Round r to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 45*k + 58. Let i be ((-39)\/117)\/(k\/30). Suppose 3*d - 21 = 24. Put -5, d, i, 1 in ascending order.\nAnswer: -5, 1, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 701629 is divided by 1988.\nAnswer: 1853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*f = 0. Let g be (f + -1)\/((-5)\/((-80)\/28)). Which is the closest to 0.3? (a) 0.5 (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 8*c - 10. Suppose -4 = 2*z, -c*d + 52 + 132 = -2*z. Is d a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 2*y = -35, b + 11*y = 15*y + 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.540224 milligrams in grams?\nAnswer: 0.008540224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21743617 to the nearest integer?\nAnswer: 4663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwjjwwwwjwjj. What is prob of sequence wwjj?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1504293*t**2 - 1014*t**5 - 1046919\/2*t**3 + 42666*t**4 + 2166 - 226803\/2*t = 0. What is t?\nAnswer: 1\/26, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -4)*(-28)\/(-8). Let y = h + -10. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 5:41 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/103454 and 7\/97681.\nAnswer: 439369138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 572 + -4?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6476.852 nanograms to micrograms.\nAnswer: 6.476852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*f**2 + 48*f**2 + 108 - 68 - 40.\nAnswer: 165*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 4, m: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/3*(-15)\/(-15)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**5 + v**4 - v**3. Let x(a) = 173*a**6 + 5*a**5 + 5*a**4 - 5*a**3 + 21*a**2. Let o(d) = 5*q(d) - x(d). Find the third derivative of o(w) wrt w.\nAnswer: -20760*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2673 times 0.3\nAnswer: 801.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (240\/(-140))\/(3\/(-343)). What is the greatest common divisor of d and 364?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 14 = -14. Let q = h + 26. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iieizeziz. What is prob of picking 2 e?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -72144, -72160, -72140, -72066, -71920, -71684?\n\"Answer: 3*c**3 - 37*c - 72110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 59*i**3 + 5*i**2 + 5*i + 5. Let y(a) = 384*a**3 + 32*a**2 + 32*a + 32. Determine -32*q(j) + 5*y(j).\nAnswer: 32*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 11 - (7 + (-13 - 0))) + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i**3 + i**2 + i - 2. Let g(a) = 2*a**2 - 6*a + 2. Let f be g(2). Does 20 divide n(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67490008?\nAnswer: 2, 263, 32077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -x + 43, -3*w + 11*x + 155 = 222. Let l be 0 + (-1)\/1*-1. Solve -l - w = 2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**3 + 13*q**2 + 7*q + 3. Let y be n(7). Suppose 5*m + 159 = y*h, -h = -4*m - 43 - 17. What is the remainder when h is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214810957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2*x - 5, 4*t + x = 5*t - 2. What is the third derivative of -10*b**2 + t + 60*b**6 - 30*b**6 + 4*b**5 - 27*b**6 wrt b?\nAnswer: 360*b**3 + 240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/4)\/r**(1\/58) assuming r is positive.\nAnswer: r**(-31\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1536393343 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 476 = -2*z - 2*z, 5*z - 573 = 3*s. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -13.4, 0.1, 3\/7 in ascending order.\nAnswer: -13.4, -4, 0.1, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, 4316, -0.1, -19, 0.17?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 88\/13 + 2\/13*f**2 + 48\/13*f = 0.\nAnswer: -22, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32\/48 + (0 - (-16)\/(-6)). Let x(b) = -2*b**3 + 7*b + 3. Let s(p) = -10*p**3 + 36*p + 16. What is i*s(g) + 11*x(g)?\nAnswer: -2*g**3 + 5*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -360235*f**2 - 2*f + 2262631 wrt f.\nAnswer: -720470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 7:03 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 312 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m + m + 3*m - 2*m**2 - 4*m. Let i(k) = 3*k**2 + 4*k. Let r be (2\/2 - 2)*3. Let f(q) = r*i(q) - 4*h(q). Let a(n) = -2*n. Give f(a(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/sqrt(147) + -3 + sqrt(143)\/sqrt(11) + -3*(1 + sqrt(208) + 2 + sqrt(13)))**2 + -2.\nAnswer: 2328*sqrt(13)\/7 + 129275\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jggb when four letters picked without replacement from {g: 2, b: 5, k: 2, i: 3, t: 2, j: 2}?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 + 13*q**2 - 1 + 9*q**2 + q**2.\nAnswer: 20*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**5 - 1065*x**4 + 151230*x**3 - 10737330*x**2 + 381175215*x - 5412688053.\nAnswer: 3*(x - 71)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.5 + 3. Let v = 15.6 + -10.6. What is the nearest to 0 in -9, z, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -450740159637 + 489053025279492\/1085. Let y = w + 309118\/7. Let p = y - -1\/62. Find the common denominator of p and 17\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**5\/3 - 3*o**4 + 1039*o**3\/3 - 1653*o**2 + 1950*o = 0.\nAnswer: -39, 0, 2, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 807084.1 years?\nAnswer: 9685009.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 733 and 28?\nAnswer: 20524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-2 + 0) - (-2)\/(-12)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 5468 + 17834. What is the hundreds digit of (o\/122)\/(0 + 2\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1642*y - 3390*y + 7803*y)*(0*y + 2*y + 0*y) - 3*y**2 - 2*y**2 + 6*y**2 as a*y**2 + i + t*y and give a.\nAnswer: 5543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -51*h**2 + 73443*h\/2 - 1080.\nAnswer: -3*(h - 720)*(34*h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479963 is divided by 239977.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 9:03 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*z = -3*j + 56, -2*z - 7 = -j. What is the highest common factor of 561 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/6 (b) -119 (c) -2\/17 (d) 0.5 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 306 and 35217591?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 1532 = -3*j, 3*r + 1149 = -0*j + 2*j. Let f = r - 227. Round f to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -18*n + 23. Let g = -24 + 11. Is s(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 90 + -1022. Let f = -601 - u. Suppose 2*j + 5*s - f = 0, -6*j + j + 2*s = -755. What is the greatest common divisor of j and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 10*s**2 + 120*s - 825. What is q(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (67\/5)\/((-7702)\/(-38510))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from mddmddm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -89*v**2\/2 - v + 1290. Let g(n) = -2*n. Calculate l(g(r)).\nAnswer: 178*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12549.\nAnswer: 3, 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, -6867, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.09 or -177966?\nAnswer: -177966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 57*(-5)\/(-15) + (-1 - 4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 825 and 20475.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.75562 rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42441436?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 9:50 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1285 + -1233. Solve 21*z + y = -11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -275*r + 283*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5*w**2 - 76*w + 440. Determine k(-16).\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12917951?\nAnswer: 103, 167, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22908539 is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 - 73. Let r = c + 21.5. Let v = 0.5 + r. Put 0.3, -7, v in descending order.\nAnswer: 0.3, v, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1 + ((sqrt(32)*1 - sqrt(32) - sqrt(32)) + sqrt(32))*6)**2 + -6*(sqrt(2) + -1)*-3*-4).\nAnswer: -216*sqrt(2) + 219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -3. Let n(f) = -f + 6. Let m be n(p). Let d(r) = r + 38. Is d(m) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 752189231, 1504378464, 2256567697, 3008756930, 3760946163, 4513135396?\nAnswer: 5265324629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-63.\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z - 47. Let h(u) = -2*u - 46. Let d(v) = -3*h(v) + 2*n(v). Is d(18) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450904 is divided by 25?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 10*z**2 - 8*z + 14. Let x be g(-10). Suppose 5*v = 444 - x. Is v a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -84 in 1.5, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 0 - (85 + -86). Suppose 26 = 4*a + 3*i, 2*a + 19 = 5*a + 2*i. Suppose o = a*o. Sort y, 5, o in increasing order.\nAnswer: o, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2 + -3*((sqrt(1573) + 0)*-2 + (3*(sqrt(1573) + -3*sqrt(1573) + sqrt(1573)) + sqrt(1573))**2))*4.\nAnswer: -75495 + 264*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggss when four letters picked without replacement from {s: 3, g: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22112, 46312, 70502, 94682, 118852, 143012?\nAnswer: 167162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 183168 and 6159024?\nAnswer: 49272192","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Work out -58 * 0.3.\nAnswer: -17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -483*z = 311*z + 4764 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15, 0.3, -1, 0.4, -0.7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/((-21)\/(-27)) - -1. Let t(r) = 3*r**3 - r - 2. Let z be t(2). Suppose -3*i + z = -2*i. Solve -3*y + 2*c = -n, 2*y + 4*c + i = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -0.1. Let v = i + 0. Let q = -20 - -17. Which is the closest to -1? (a) v (b) q (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*t + 628*t + 40 - 2603 + 10179 = 0 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by (-106)\/(-20)*30\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 39 = 3*m, -5 = -l - 0*m - 2*m. Let h = l - -45. 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: What is the tenth root of 206481007 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -2. Let w = 36 + -33. Let d(h) = -4*h - 1 - 4*h + 0*h + h**2 + 7*h + 6*h**w. Determine d(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*o + 31*o + 38*o - 43*o in the form z + n*o and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - (-33)\/12)*-24. Let o = 36 - r. Calculate the least common multiple of o and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -726, -677, -618, -543, -446, -321, -162, 37?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70*f + 10 + f**2 - 70*f + 138*f)*(5 - 5 + 3).\nAnswer: 3*f**2 - 6*f + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*c**2 + 44*c**2 - 7*c**2 + 2101*c**3 - 18*c**2 - 11*c**2 as r*c**2 + f*c**3 + k*c + m and give f.\nAnswer: 2101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2. Let o(u) be the first derivative of 13*u**2\/2 - 3. Give o(r(y)).\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 198186, 0, -2, 5, 0.3 in descending order.\nAnswer: 198186, 5, 0.3, 1\/6, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 6. Let f be j(-12). Suppose 20 = -l + f*l. Suppose 0 = -l*z - z + 20. Solve -h + 31 = 4*m + z*h, m = 4*h - 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -49*s**4\/12 + 7*s**3 - 9*s**2\/2 + 3*s. Solve c(l) = 0 for l.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 49, -5.\nAnswer: -5, 1, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -480159093 or -480159094?\nAnswer: -480159094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -90, -188, -286, -384?\n\"Answer: -98*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 9*j**2 - 11*j + 7. Let p(b) = b + 17. Let x be p(-15). Let n(k) = -2*k**3 - 17*k**2 + 21*k - 13. Let l(r) = x*n(r) + 5*t(r). Is l(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 7.35. Let t = 0.05 + y. Let s be 12\/10 - 18704\/5845. Which is the closest to -1? (a) t (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 727 and 0.08?\nAnswer: 726.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4299680, 4299667, 4299658, 4299653, 4299652, 4299655, 4299662?\n\"Answer: 2*j**2 - 19*j + 4299697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8284 divided by 62.\nAnswer: 4142\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45267 is divided by 11306?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(4*(-1)\/(-2)). Does 2 divide ((-12)\/24)\/(s\/112)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 5, -1 in decreasing order.\nAnswer: 5, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 63 - -2?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 47845, 191384, 430599, 765478, 1196009?\n\"Answer: -2*a**3 + 47850*a**2 + 3*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (5 + -5 - -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 49*n**2 - 45*n + 8. Let q(h) = -35*h**2 + 44*h - 10. Calculate -5*d(v) - 4*q(v).\nAnswer: -105*v**2 + 49*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - -17 - 15 - 236\/(-4)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*w, h = -4*w + 37 + 211. Let a = h - 179. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*v + 160 = 0, -3*x - v + 6*v = 216. Let l be ((-920)\/8)\/((-12)\/8). Let t = l + x. Is 55 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1582*u - 1820*u - 1753 - 6101 = 0 for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 + 160*g - 112. What is the smallest common multiple of 455 and n(-81)?\nAnswer: 4550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -91, -103, -115, -127, -139?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 45 = -0*x. Let d = -5 - -11. Let k = x + d. Let g(y) = -y**3 - y**2 + 3*y - 3. Calculate g(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -200.68 to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 8*x**2 + 2. Suppose h = -0*h + 2, 2*h - 36 = -4*v. Let f be u(v). Suppose -g + 369 = f*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45 - -19) + 38 - (-2 + 2) - -9?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8826, -3, 9, 3, -5, -2 in increasing order.\nAnswer: -8826, -5, -3, -2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**1)\/(x*x**1))**(-3\/5) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 67 + 78. Let l(s) be the second derivative of s**3\/3 - 9*s**2\/2 + 6*s + 3. Give l(c).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.318471um in meters?\nAnswer: 0.000006318471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 6*h - 84. What is q(11)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xozzo. What is prob of picking 2 z, 1 o, and 1 x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 737623*s**4 - s**2 - 2655057*s?\nAnswer: 8851476*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 441*x**3 - 14*x**2 - 12552*x - 2?\nAnswer: 2646*x - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6601 + -5?\nAnswer: -6606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*q + 0*q - q)*(-11726 + 5062*q**2 + 11726)*(-2*q - 3*q + 3*q) to m*q**2 + k*q**4 + d*q**3 + w*q + b and give k.\nAnswer: -30372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132, -125, -114, -99?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17694 - -26154. Which is greater: c or 8459?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 967609999\/(-7) - ((-868)\/98 + 9). What is b rounded to the nearest 1000000?\nAnswer: -138000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**4 - 1260*i**3 + 277371*i**2 - 16563096*i - 52219728 = 0.\nAnswer: -3, 132, 999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of ((2 - 5) + -17)*6\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1689 + -1734. Suppose 4*u - 2*i = -165 - 15, -2*u - 5*i - 78 = 0. Is m > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 165 - 99. Calculate the greatest common divisor of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -27 - 1784*r + 3568*r - 1781*r. Determine a(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 - -43. Let p = x + 26. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*n, x + 3*n + 4 = -6. Let b be -2 - -5 - (-3)\/x. Solve b = -3*i - 22 + 7 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*q**3*s**3 - 7669*q**3*s**2 - 132*q**3 + 8806*q**2*s**3 + 62*q*s**3 + s wrt q.\nAnswer: 24*s**3 - 46014*s**2 - 792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-3))\/((-8)\/12). Suppose -5*y = 5*g - g + 18, 0 = 5*g + 4*y + 18. Sort 2, m, g.\nAnswer: m, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 623*-86\nAnswer: -53578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 - -19. Let n = -2 - v. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 2*q**2 - 5*q. Let c be b(5). Let v be (-4)\/c*15\/3. Let t = 1 + -6. What is the closest to v in -0.3, -0.4, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 5*a - 2. What is w(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*b + 123 + 237 = 186*b for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.9 + 9. Which is the closest to 0.9? (a) -1 (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2995*a**2 - 3008*a**2 + 6004*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = x - 5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -1\/2 (c) 8 (d) 3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*l - 1 = -8*l, -3*l + 3 = 0. Which is the nearest to o? (a) 0 (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 2:29 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one sixteenth of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1212 divided by 6?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/24 of a day?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 44454931\nAnswer: 3\/44454931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41505354 is divided by 380783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 249*-29.6\nAnswer: -7370.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i**3 - 2*i)*(2*i - i + i) - 17*i**4 - 12*i**4 + 6*i**4.\nAnswer: -27*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -346*a + 361. Give y(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1342065?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w - 4*w - 8*w.\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 8*b - 32. Calculate w(-7).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + f - 1)*(-4 + 0 + 1)*(39 - 21 + 0).\nAnswer: -54*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 706 - 137671\/195. Let l = 218\/5 - 5177\/120. What is the common denominator of q and l?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 17 (b) 20 (c) -4 (d) 4\/3 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 46 in 7, -4, -2, -1\/3, -6\/31?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 divided by -31?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 8 - w**3 - w**2 + 0*w**2 + 0*w**2. Let o be j(0). Calculate the highest common factor of o and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4989, 4984, 4979, 4974, 4969, 4964?\n\"Answer: -5*x + 4994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26518891 and 17.\nAnswer: 450821147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2091 = -3*f + 4*y, -2*y + 10 = 4. Does -693 = f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1140048 divided by -522.\nAnswer: 2184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/38)\/(1 + -3). Let n(a) be the second derivative of 0 + 1\/6*a**4 + 0*a**3 + 5*a + r*a**2. Let m(j) = -j. What is m(n(d))?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -12*w**2 - w - 17. Let h be q(7). Let r = -74 - h. Let l be (15\/(-30))\/((-1)\/r). What is l rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304 and 405840?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -14\/5*p**3 + 54\/5*p + 0 - 1\/5*p**4 - 39\/5*p**2 = 0.\nAnswer: -9, -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 0*n + 5*z - 460 = 0, -4*n = 3*z - 372. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 4. Suppose -6 = 3*p - 3*z, 0 = 3*z - 9. What is the smallest common multiple of i and (2\/1 - -9)\/p?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/6*(6768\/384)\/47. Which is the nearest to -3? (a) j (b) 5\/6 (c) -9.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106031 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7825083 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/((-96)\/220) - (2464\/(-42) + 59)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*y = -326, -145*y - 296 = -2*s - 144*y. Let x = -25 - -45. Calculate the remainder when s is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 3)*(635245*w**2 - 635245*w**2 - 2719*w**3)*(w + 2*w - 4*w) to x*w**3 + o + y*w + r*w**4 + c*w**2 and give r.\nAnswer: 5438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94*0.2.\nAnswer: 18.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 >= -5\/293283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 15872 to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 4 + 4)*(0 - 1 - 1)*(2 - 1 + 2).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -0.2, -23\/12711?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = v - 4*v + 31, 4*r + 16 = 0. Let x(y) = -24*y + 14*y + v*y. Let k(w) = -25 - 30 + 14*w + 55. What is k(x(h))?\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2919 * -2.484\nAnswer: -7250.796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 22*q**3 + 44*q + 84. Differentiate d(v) with respect to v.\nAnswer: 132*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**3 + 13*v**2 - 13*v**2 + (1 + v - 1)*(0*v**2 - 4*v**2 + 2*v**2))*(-v**2 + 13 - 13).\nAnswer: -3*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -107 - -111. Let p be c\/(12\/(-5))*12\/(-30). Let a = -30.1 - -29. What is the smallest value in p, -0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 1. Let b be (35\/(-2))\/5*2. Let z(d) = d**2 + 6*d - 5. Let l be z(b). Calculate c(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40185)\/31020*(-28)\/(-21).\nAnswer: -19\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14*(-20)\/24*-3. Let p(r) = -13*r**3 + 1. Let v be p(-1). Let w be 4\/v + 33\/7. Solve 2*g - o + 9 = 0, -w*g = -o - 4*o + b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 30, -1, -60, -153, -286?\n\"Answer: -r**3 - 8*r**2 + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (852\/(-2840))\/((-2)\/10). What is the closest to d in 0.1, -13, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1646 + 4138 + 1883 = -580*l - 45*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (19 - 6)) + 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 348652791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (116*x + 98*x - 29*x)*(3 + 2 - 3) to the form f + m*x and give m.\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18\/(-48)*2)\/((-3)\/(-8)). Let d(l) = l**2 + 1. What is d(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 58*z**2 + 190*z - 547. Determine u(61).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 161974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of 2\/3*t**3 + 2\/3*t**4 - 4*t - 2\/21*t**7 + 0 + 0*t**5 - 4\/15*t**6 + 0*t**2. Suppose r(c) = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-55)\/(-10) - (-2)\/(-4). Let g(m) = 2*m**2 - 8*m + 2. Suppose -d + 3*d - b = 7, 4*d - b = 13. Let n be g(d). What is the closest to 2\/7 in w, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2727 - -2733. Solve 4*i - 60 = -a*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4364.755 decades to millennia.\nAnswer: 43.64755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 11 (b) -0.1 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(80) - (sqrt(80) + -1*sqrt(80))))\/((1*sqrt(40))\/sqrt(8)))\/(-2*(sqrt(288) - -1*(2*sqrt(288) + sqrt(288) - sqrt(288)))).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, y: 5, g: 2}. What is prob of picking 1 g, 2 y, and 1 h?\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -35, -57, -99, -167?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -90565\/24 + 3773. What is the common denominator of -53\/4 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - 2*g**2 + g**3)*(3 + 2*g**2 - 3) - 4*g**5 + 2*g**5 + 3*g**5 + 1 + 0*g - 25*g**3 + 27*g**3 + g + 5*g**5.\nAnswer: 8*g**5 + 2*g**3 + g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*n - 70 + 82 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.9 - -38.94. Let l = -30 + a. Round l to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134159250805 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 9*r**2 + 18*r + 2. Let l(t) = -29*t**2 - 54*t - 7. Determine 13*k(i) + 4*l(i).\nAnswer: i**2 + 18*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**6\/160 + l**5\/40 - 13*l**4\/32 + 5*l**3\/4 + 55*l**2. Factor n(x).\nAnswer: 3*(x - 2)*(x - 1)*(x + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70 - -52. Let p = 18.00135 + l. What is p rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 318 - 322. Let z(p) = 2*p**2 - 4*p + 3. Let l(y) = y. Give j*l(t) - z(t).\nAnswer: -2*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9726 + 22746 = 10*n - 1648. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173286937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + (13 - 3) - 9) + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g. Let c(a) = 4*a**2 - 35. Give c(s(d)).\nAnswer: 100*d**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((1*sqrt(425) + -2 - sqrt(425) - sqrt(425)) + sqrt(425) + sqrt(425)*1 + -3) - 6*(-5 + (1 + sqrt(1700) - sqrt(1700)) + -4))**2.\nAnswer: -1160*sqrt(17) + 5064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 770 and 132?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + b + 19, 12*j - 10*j + 2*b + 6 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 5*x + 10 = 0, -2*p + 0*p = 3*x + 2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 7 = -2. Let v = n - 3. Solve -5*t + 2*t - 12 = v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, v: 5, g: 3}. Give prob of sequence gvg.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111118.\nAnswer: 2, 7, 7937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*y - 3144 + 36 = 0. Let g be (-1)\/4 - (-595)\/y. Which is bigger: g or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 8*k**2 + 222*k + 36. Let a be d(-28). What is the greatest common divisor of 506 and a?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1830*l = 2026*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -l**4\/6 - 23*l**3\/6 + 7*l**2 + 259*l. Determine k(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26332 - 18296. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1059.2000020179 + -1059.2. What is j rounded to seven decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9394096553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 2*b. Suppose b = -4*a + 34508 + 32768. Suppose 7*y = 5938 + a. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -6. Let c = -1 - w. Let l = 2.9999992 - c. What is l rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-21)\/28 + 1337\/(-4). Let x = 617 + t. Is x a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2666.2 rounded to the nearest 100?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/24 + (-11)\/(-4). Solve -w = m*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2121 - -1074. Let q = l - -1559. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16.7, -1\/17, 0.8 in increasing order.\nAnswer: -1\/17, 0.8, 16.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -4*i + 2*j - 16, 3*j + 25 = 4*i. Let g = -53 - -75. Let z be (-5 - g)*(-14)\/6. Calculate the greatest common factor of z and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + n - 17. Let k be m(0). Let w(t) = t**2 + 17*t + 3. Let x be w(k). Solve x*f = f + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -452230 + 2?\nAnswer: -452227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 256\/12 + 4\/6. Let b be (-68)\/(-132) - 4\/m. Let g be 2*(-2)\/72*4. Put b, -2\/7, g in ascending order.\nAnswer: -2\/7, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 68\/18 + (-6)\/(-27). Let o be i\/12 + (-520)\/(-15). What are the prime factors of o\/5*2*6?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhldldmnmdnblm. Give prob of picking 1 m, 1 h, and 2 d.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 236 - 108. Suppose -j - 180 = -11*w. Suppose -v - 11 + w = 0. What is the remainder when 41 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 135700 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 7, -2\/5, 0.2 in increasing order.\nAnswer: -5, -2\/5, 0.2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.87 + 6.87. Let w = -105 - -2521\/24. What is the biggest value in -4, w, a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 5. Let l = -97.5 - -98. Put 1\/5, l, p, -5 in increasing order.\nAnswer: -5, p, 1\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(17) + 3 + 5)*5 - (-1*sqrt(68)*6)\/(-3*sqrt(4)*2))*-4.\nAnswer: -120 - 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*g**2 - 967*g + 967*g + 30*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 0)*(-2)\/(-4). Suppose i - 13 - 17 = r. Calculate the greatest common divisor of 20 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 21 = 3*k, k + 1 = 4*n - 12. Let u(p) = 4*p - n*p - 3*p + 7 - 6. Let z = 10 - 7. Determine u(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 266, -1, 4, 7, -5, -6 in decreasing order.\nAnswer: 266, 7, 4, -1, -5, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 3*t + 0 - 1 + 1 - t + (0*t - t - 2*t)*(-2 + 3 + 1) - 6*t + 3 - 3 to the form c*t + a and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -761 + 421*y + 199*y + 383 + 374 + (-1 - y + 1)*(-7 + 2 + 3).\nAnswer: 622*y - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00033193 to 6 dps.\nAnswer: -0.000332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 47*p - 2. Let o(v) = 58*v + 1. Give o(a(y)).\nAnswer: 2726*y - 115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of 0*p + 0 + 15\/8*p**4 - 31*p**2 + 0*p**3. Let q(o) = o**2. What is q(y(v))?\nAnswer: 2025*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 24 + 2 = 0. Let q(u) = -4*u**w - 63 + 3*u**2 + 63. Let n(k) = 54*k. Calculate q(n(a)).\nAnswer: -2916*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111 (base 3) to base 2.\nAnswer: -101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = t + 2*y, 0 = -26*t + 21*t - 2*y + 30. Let i be 4\/18 + 4\/(-9). What is the nearest to 0.1 in i, t, -8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**26*m)\/(m\/m**(-7)*m))**(-30) assuming m is positive.\nAnswer: m**(-540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/9))**(-3\/20) assuming h is positive.\nAnswer: h**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -182 - -185. Solve i*b = 2*x - 16, 2*b + 12 = 5*x - 17 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 8:29 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-6) + 9\/3. Suppose -u*x - 6*a = -11*a - 219, -192 = -4*x - 4*a. Calculate the greatest common factor of 255 and x.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5816 - 5779. Are g and 33 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/211374 and 89\/704580.\nAnswer: 2113740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + (29 - 97) + (-13 - -37)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/2*((-130)\/(-39))\/(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 2*q - 5*o, -2*q - 2*o - 22 = 18. Let m = q + 7. Let c = m - -23. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53032 divided by -26516?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 8215*m + 205353. Calculate r(-25).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from dfkddwkddfd.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, v: 3, t: 2, n: 2, i: 5}. What is prob of picking 3 v?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22530 to the power of 1\/2, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 140, 299, 472, 659, 860, 1075?\n\"Answer: 7*m**2 + 138*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i - 2. Let v = -8 - -5. Let d be w(v). Let r(p) = 55*p**3 + p. Is 22 a factor of r(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 + 13*s + 7. Let u = 145 - 138. Let v be x(u). Which is smaller: -6\/5 or v?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p**3 + 10*p**2 - 5*p - 2. Let q(j) = -6*j**3 - 11*j**2 + 6*j + 4. Let r(k) = -4*f(k) - 3*q(k). Let z be r(-4). Sort -3, z, 0, -2.\nAnswer: -3, -2, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 9*n**2 + 4*n - 21. Let v be m(-8). Suppose 5*a + o = -9, -a = -5*o + 2*o - v. Which is smaller: a or -1\/18?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473581 is divided by 85.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -e04 (base 15) to base 6\nAnswer: -22334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -36045 + -216?\nAnswer: -36263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-24)*i*i*i*i**(-4\/11))\/(i**10*i**(2\/27)))**(12\/11) assuming i is positive.\nAnswer: i**(-37348\/1089)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -336.058 and -3.3.\nAnswer: 1108.9914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 14, 1660*i = 1659*i + 4*g - 29 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 greater than 147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13632615 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20928 is divided by 187.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10404.99992353 + -10405. What is m rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-5) + 6\/(-15). Let x = 0.040648 + 0.359352. What is the fourth biggest value in x, i, 2\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n - d = 16*n + 3, 5*n = -d - 3. Solve n = -3*h + 27 - 39 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 8*n + 2. Suppose 755 = 239*p - 201. Calculate t(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -60\/1457?\nAnswer: -60\/1457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 4*f + 5 = 29, -2*d - 5*f - 5 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**4 + m**2 + 2*m**2 - 45*m + 25*m**3 + 12*m**2 + 0*m**2.\nAnswer: 5*m*(m - 1)*(m + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.7 - 2.5. Let d = 254 - 2792\/11. Which is the second biggest value? (a) n (b) 2\/7 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x - 8. Let z be c(-7). Let m be 40 + 1 - (2 + z). Calculate the common denominator of -87\/4 and 1 + ((-14)\/m)\/7.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/2))**(-1\/82)*(k\/k**1*k)**(1\/17)*(k\/((k**(1\/3)\/k*k)\/k))**(-4)\/(k*k**(3\/4)*k*k\/k**(-3\/2)) assuming k is positive.\nAnswer: k**(-49615\/4182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + 3*r**3 - 3*r**3)*(5 - 1 - 3) + 20*r**3 - 3*r**3 + 4*r**3 + (-r**2 + r**2 - 2*r**2)*(3 - r - 3) - 7*r**3 + 0*r**2 + 0*r**2.\nAnswer: 17*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 4 + 122*c + 10277*c + 9 in the form q + v*c and give v.\nAnswer: 10399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10555 and 936754139?\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4)\/16*2*-3866?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 559 - 6*l**2 - 2*l**2 - 249 - 262 in the form g*l + b + a*l**2 and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*(1*1*(1 + sqrt(17)) + -3)**2.\nAnswer: -42 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 17*l + 57. Is -545*(-20)\/(-50)*1\/l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 times -55706?\nAnswer: -1615474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghd when three letters picked without replacement from gdhddgd?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z - 18*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 419 + -404. Suppose -3*d + p*y - 15 = 10*y, 3*y - 9 = -4*d. Solve 62*b - 65*b + 3 = d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/15 + (1 - (-16)\/10). Suppose 1726 = j*z - 6977. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1.67, 4417\/19, 5 in increasing order.\nAnswer: -1.67, 4, 5, 4417\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*b = -135 - 121, 192 = 2*a + 2*b. List the prime factors of a.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 85883888.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 211421 + -2?\nAnswer: 211414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -80*a + 26. Let b(p) = 9*p + 133 - 277 + 141. Calculate -52*b(i) - 6*q(i).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/253 or -4\/7?\nAnswer: 6\/253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 d when four letters picked without replacement from gddggd.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*y + 4. Let p(s) be the first derivative of -s**3\/3 - 3*s**2\/2 + 2*s + 2. What is p(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 36 = -11. Suppose -n + 4*c + y = 4*n, 0 = 2*n - 2*c - 12. Suppose z + 0*z + n = 0. Put -5, z, 3 in decreasing order.\nAnswer: 3, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21657, -0.2, -2, -0.3, 1\/3 in decreasing order.\nAnswer: 1\/3, -0.2, -0.3, -2, -21657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m + m - 7900 + 7275)*(-2 + 6 - 3) to j*m + v and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.435759l in millilitres?\nAnswer: 2435.759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 0.2 (c) -6 (d) -0.2 (e) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, z: 3, u: 7}. Give prob of picking 2 b.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 65?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 90, -1\/5, 2\/733?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/4 of a meter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2744*y + 7. Let u(q) = -1379*q - 4. Calculate -6*f(a) - 11*u(a).\nAnswer: -1295*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 4. Let t be s(0). Solve 0*v - t*v + 5*d = -22, -7 = v + 5*d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 11 + 36\/(-45).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148819377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 - -30. Factor -10 + 0*z**y - 2*z**4 + z**5 + z**3 + 10.\nAnswer: z**3*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -11*t**2 + 6*t**2 + 4*t**2 - 2*t**2 - 7*t**2. Let x(b) = -33*b - 8. What is v(x(i))?\nAnswer: -10890*i**2 - 5280*i - 640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1672 divided by 88.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cssgggsggsggg. Give prob of sequence ssg.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1230, 954, 516, -84, -846, -1770?\nAnswer: -2856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210857090.\nAnswer: 2, 5, 21085709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000772 to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6808.341mg to kilograms.\nAnswer: 0.006808341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 4*b - 6 = -n, -5*b = n - 22. Suppose y - 3*i - 2*i - 75 = 0, 3*i = -4*y + 231. Let l = y - 57. Solve -u = -n*u - l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z - 4. Let t be o(2). Suppose 9*l = t*l + 303325. Suppose 63335 = 2*u - l. What is u rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -627 divided by 3.\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 691455 and 691455?\nAnswer: 691455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 5*n**2 + 11*n + 10. Let d be w(6). Let m be (-1)\/((-5)\/d*2). Suppose -m*h + 27 = 19. Solve 3*q + t = -h*q + 21, 5*t = 5*q - 15 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73325105?\nAnswer: 5, 7, 43, 83, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-288)\/40)\/((-4)\/((-120)\/(-9))). Solve v = 5*y + k, -3*y = v + 2 + 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15440 by -15440.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138717?\nAnswer: 3, 15413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -7*r - 1. Let i(k) = 3*k + 1. Calculate 3*h(q) + 5*i(q).\nAnswer: -6*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ysd when three letters picked without replacement from ddtiysidd?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12592, 12725, 12874, 13039, 13220, 13417, 13630?\nAnswer: 13859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 539355?\nAnswer: 3, 5, 41, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25125895 is divided by 2762.\nAnswer: 2743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 11, e: 2, u: 4, w: 2}. What is prob of sequence ek?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**2 + 6555*x + 19620 = 0. Calculate x.\nAnswer: -1308, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -2\/201177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 40, 53, 94, 175, 308, 505, 778?\n\"Answer: 2*k**3 + 2*k**2 - 7*k + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00151774863 to 7 dps.\nAnswer: -0.0015177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-4))\/(3\/(-18)). Let k(c) = -c**2 - 5*c + 991. Let r be k(29). Sort r, a, 6.\nAnswer: r, 6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 484783167 to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -459380, -459379, -459378?\nAnswer: -459377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1960800280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 27006, 26450, 25892, 25332, 24770?\n\"Answer: -f**2 - 553*f + 27560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h + h**3 + 29*h**3 - 34*h**3 - 40 to y*h**2 + r + c*h**3 + n*h and give r.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 662.6136 kilograms to nanograms.\nAnswer: 662613600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -210 - -1348. List the prime factors of u.\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + s - 11. Let t be n(0). Let k be -3 + 2 + (-29)\/3. Let v = k - t. What is the third smallest value in v, -2\/9, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 4, g: 10}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7486013*c**2 - 5*c - 22781344 with respect to c.\nAnswer: -14972026*c - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b + 146 = 257 - 141 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-5*((3 + sqrt(7)*-2 + sqrt(7) - (-2*sqrt(7) + 2)) + (-1 + (sqrt(7) - sqrt(336)\/sqrt(3)))**2 + 4).\nAnswer: -345 - 35*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3101 + 3491. What is the highest common factor of w and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cgsc when four letters picked without replacement from cvgvvvvvvvcvzscvvvz?\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7*c**3 - 6*c**2 - 129*c - 124. Calculate f(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 v when three letters picked without replacement from {z: 2, i: 4, u: 1, v: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + (-2)\/(-4))*-4. Suppose -q*l + 4 = 6. What is the common denominator of -79\/2 and 2 + l - (-24)\/(-11)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -69*j + 1387. Let n be s(20). Solve -25 - 17 = -n*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 1 = -16. Let h = 20 - v. Suppose 0 = -t + h*t - 66. What are the prime factors of t?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 477380257?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*v + 3*v. What is the second derivative of m**2 + m + 3*m**2 - 6*m**v wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -412*z - 224. Let g be l(-23). Is g\/6 + -3*(-1)\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -48*t**4 + 4*t**3 - 4*t**2 - 4*t - 77. Let g(j) = -98*j**4 + 9*j**3 - 9*j**2 - 9*j - 155. Let z(f) = 4*g(f) - 9*m(f). Differentiate z(b) wrt b.\nAnswer: 160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*j = 114*j + 28*j + 1130. Put -9, 1\/7, j, 1\/3, 2\/19 in descending order.\nAnswer: 1\/3, 1\/7, 2\/19, j, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*s - 1147 = 5*s, -s + 1 = 0. What is the greatest common factor of 42 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 17 + 133 = 0. What are the prime factors of n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1408 and 1239128?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78156 by 6513.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 6 = 0, -3*j - 5 - 1 = -5*w. Let o be (-4)\/14 - (-27)\/21. Suppose -u - o = 4. Put j, u, 5 in ascending order.\nAnswer: j, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332*j = -184*j + 810*j - 11365 - 11627 for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**3 - 41*f**2 + 9*f - 12. List the prime factors of h(11).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-3)*6*10\/(-30).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*u**3 + 6*u**3 + 13*u**3 + 16*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/3)\/w)**(-10\/9))**45 assuming w is positive.\nAnswer: w**(250\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 5*f - 24, 0 = -3*g - 3*f + 6 - 0. Let d = 3 + g. Let o(x) be the third derivative of x**5\/15 - x**4\/24 + x**3\/6 - 4*x**2. What is o(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -220371, -219811, -219251?\n\"Answer: 560*r - 220931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*r - 503 + 0*r**2 - 508 + 1005 + 5*r**2 - 7*r**2 to the form v*r**2 + w*r + g and give w.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, 3, -0.7, -2\/133 in ascending order.\nAnswer: -0.7, -2\/133, 1.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 h when two letters picked without replacement from {r: 4, t: 2, h: 3, q: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -65, -67, -69, -71, -73, -75?\n\"Answer: -2*s - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 40, 122, 268, 496?\nAnswer: 824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.271 - -0.729. Let u be (5\/(-3))\/(3\/(-9)). Which is the closest to 0? (a) 1\/2 (b) v (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*c + 4 - 0, 2*c - 14 = -2*t. Let v = 1076 - 1073. Solve -v*q - t*k + 6 = -5*q, -3*q = -k - 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*c**4 + 2*c**4 - 5*c**5 + 12087 - 12085 - 87*c**2 wrt c.\nAnswer: -300*c**2 + 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21*g*l**2 + 8765*g*z - 55*l**2*z + 268*l**2 - 5*l + 1 wrt g.\nAnswer: 21*l**2 + 8765*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 - 606 = -10*h. Let w(j) = j**3 - 4*j**2 + 4*j + 1. Calculate the remainder when h is divided by w(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 - -507.84176?\nAnswer: 509.34176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 8 = -2*f, 2*f - 2*i - 8 = -0*i. Suppose 22 = 3*g + 4*v, f*g + 10 = v + 33. Suppose w - g + 2 = 0. Sort 0, 3, w in decreasing order.\nAnswer: w, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/144 and 109\/432.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s**3 + 89*s**2 + 466*s - 315. Give d(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 g when three letters picked without replacement from qcbbqqbybgbq.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**8\/8960 + c**7\/672 - c**6\/320 - 9*c**5\/160 - 5*c**4\/6 + 6*c. Let d(z) be the third derivative of n(z). Factor d(o).\nAnswer: -3*(o - 3)**2*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399585951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4180 by -4.\nAnswer: -1045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3242 - 38?\nAnswer: -327a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22220197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 6:44 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2b0 + 3a666?\nAnswer: 3a3a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 734 divide 1317530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = u + 10. Let n(o) = u*o + 0*o + 0*o. Is 17 a factor of n(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 10256546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 83176 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -4. Let y be a\/(-3) - (-4)\/6. Let z be y\/(-18) - (0 - 0). Which is bigger: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1704 = -3*w - 0*w. Suppose 0 = -4*b + w - 196. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a hour in seconds?\nAnswer: 15120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**5 + 0*x**3 + 0*x**3 + (3*x + x**4 - 3*x)*(4*x - x - 2*x) + 0*x**5 + 2*x**5 - 9*x**5.\nAnswer: -8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3622 (b) 0 (c) -9\/14 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 699758*w**2 - 4373267.\nAnswer: 1399516*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-4) - ((-141)\/(-12) - (38 - 26)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 + -36. Let b(u) = 8*u**3 - 8*u**2 - 17*u + 17. Let m(z) = 7*z**3 - 7*z**2 - 18*z + 18. Let p(r) = j*m(r) - 2*b(r). Factor p(s).\nAnswer: 5*(s - 2)*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4958*x - 3173125. Determine t(640).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -8\/30813 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3*z - 2 = 45, -6 = 2*c - 5*z. Suppose -5*k = -5*y - 25, 2*k - y - c = 3. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/8)\/((n**(-2\/9)*n)\/n) assuming n is positive.\nAnswer: n**(25\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 + 2*o - 1. Let s be n(-2). Suppose 0*d + 6 = d. Let f be (-7 - -4) + 3*1. Solve f = 2*b + s*c - 5, b - d = -b - 2*c for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5816469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 6*a**2 + 22*a - 32. Give u(4).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5485042 to the nearest integer?\nAnswer: 2342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x - 4. Let q(k) = k + 1. Let a(p) = 4*g(p) + 11*q(p). What is the units digit of a(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*m - 5*m. Suppose 0 = -k + 3*y + 128, 0 = m*y - 4*y - 4. List the prime factors of k.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 679 + -679.3. Which is the third smallest value? (a) 2.1 (b) -3\/5 (c) 0.4 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 239 - 236 = -2*o, 4*o - 4*t = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from lrrlllrrrllrnnrrll.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.064, -4, 0.2 in descending order.\nAnswer: 0.5, 0.2, 0.064, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 138 and 115?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57.949 + 58. Let a = c + -0.06. Let g = a - 0.053. Round g to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 3*s - 3*s + (-2*s - 2*s + s)*(6 + 0 - 4) - s + 3*s + 0*s)*(s - s + 11*s).\nAnswer: -77*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*y + 2, -377 + 388 = 5*x + 3*y. Let i(g) = -65*g + 21. What is i(x)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.2, -18, 1, 10\/21?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a - 3. Let q be j(8). Suppose -62 = -2*n - 4*l, n - 3*l - l = q. Let x be 0 - (23\/(-1) - -1). Calculate the highest common divisor of n and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 127*o. Let i(u) be the second derivative of u**4\/12 + 92*u. Calculate i(s(k)).\nAnswer: k**4 + 254*k**3 + 16129*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 11*b**2 - 7*b + 30. Let y be o(7). Is 177 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-48)\/(-22) - 6\/33. What is the second derivative of 2*z**2 + 0*z + 2*z + 0*z**2 + 0*z**c wrt z?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4512, 4520, 4534, 4554, 4580?\n\"Answer: 3*l**2 - l + 4510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s**3 + s**2 + 2*s + 1. Let r(w) = 16*w**3 - 5*w**2 - 9*w - 4. Let b(m) = 11*n(m) + 2*r(m). Let j be b(-2). Are 10 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -387 + 352.6. Let i = n + 35. Sort i, -4, 0.2.\nAnswer: -4, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 5:24 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 183 + (-94757)\/518 + (-3 - ((-17988)\/(-56))\/3).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (127*m + 191*m - 82*m)*(0 + 0 - 1)*(4 - 2 - 1)*(-2 + 0 + 1).\nAnswer: 236*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*g + 15*g + 3*g)*(4*g - 4 + 4)*(75 + 35 - 12) in the form l + x*g + t*g**2 and give t.\nAnswer: 9800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*b**4\/3 + 192324*b**3 - 2774062142*b**2 - 6658118408*b\/3 = 0. Calculate b.\nAnswer: -4\/5, 0, 28849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4341*i**2 + 8674*i**2 + 0*i - 4329*i**2 + 0*i + 24.\nAnswer: 4*i**2 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24850486 rounded to the nearest ten thousand?\nAnswer: 24850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -14*a**2 - a + 1. Suppose -12 + 0 = 2*r. Let b(h) = -h**2 - 6*h + 1. Let k be b(r). What is t(k)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 4352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 1. Let j(k) = -3*k**2 + 6*k + 6. Let m(b) = -3*j(b) + 18*p(b). Is m(4) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-8)\/(-84)*-7)\/(8\/6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 - 5 = 4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -492*g**6 - 67*g**3 - g - 2212. Find the third derivative of w(v) wrt v.\nAnswer: -177120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/1420)\/(9831\/(-39324))?\nAnswer: 2\/355","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -1\/48*q**5 + 43*q**2 + 0*q + 0 + 1\/480*q**6 + 0*q**3 + 1\/16*q**4. Factor f(n).\nAnswer: n*(n - 3)*(n - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = c - 2, -v + 3*c - 24 = -8. Do 1\/284 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/162 and -47\/17244.\nAnswer: 155196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -8009, 43 in descending order.\nAnswer: 43, 5, -3, -8009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279 = -29*i + 67 - 201 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2142*h**2*n**5 - 4792*h**2*n + 4*h**2 - 2*h*n - 19688*n**5 + 13*n - 2 wrt n?\nAnswer: 42840*h**2*n**3 - 393760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 755 + -98.7. Let y = 656 - x. Which is the smallest value? (a) -1 (b) 5 (c) y (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4909*x**3 + 8867*x**3 - 30270*x**3)*(4*x**2 - 2*x**2 - 4*x**2).\nAnswer: 32988*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9722576?\nAnswer: 2, 41, 14821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5466829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*y - 5, -3*w + 5*w - y - 1 = 0. Suppose s = -3*o - 2*o + 2, w = 5*o + 4*s - 8. Find l such that o*l**3 + 0*l + 1\/7*l**4 + 1\/7 - 2\/7*l**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, -1.6, 19\/200?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 10:32 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 62 - 290 = 0. Is w a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*y + 0*y + 3*y)*(2*y**2 - 4*y**2 - y**2) + 5*y**2 - 5*y**2 + 5*y**3 + (-2*y + 2*y + 2*y**3)*(0 - 4 + 5)*(0 + 2 + 0).\nAnswer: -114*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6159 take away 39.9?\nAnswer: 6119.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*(-4 + 4 + sqrt(176) + sqrt(176) + 0 + (sqrt(176) + sqrt(176) + 0 + 2 - (sqrt(176) + (-4 + (sqrt(176) - sqrt(176)*2) - sqrt(176)))))**2.\nAnswer: -8868 - 480*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.73 times 5?\nAnswer: -8.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.001 + -0.001. What is the closest to r in -1\/6, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 53*r - 618. Calculate s(64).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1227243 < -1227233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - j - 185. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -3 - 2) + (33 - 28).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126) + -5*1*sqrt(126))*1)\/(6*((-3*sqrt(32) - sqrt(2) - sqrt(2)) + (sqrt(14) + 2*sqrt(14))\/sqrt(7))).\nAnswer: 2*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -131 (base 4) to base 3\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 4. Let t(s) = 17*s**2 - 9*s + 3*s**3 + 9 - 4*s**2 - 4*s**3 - 5*s**2. List the prime factors of t(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5*t**2 + 9*t + t - t - 2 + 6. Let i(j) = -j**2 + 1. Let a(w) = -2*i(w) - l(w). Find o, given that a(o) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*l - 0*g - g, -3*g + 1 = -2*l. Suppose -m - m + 2 = -h, m = h. Suppose b = -j - b - m, -b = l. What is the nearest to j in -1\/4, -2, 0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4081 smaller than -4569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 2792304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3334*i + 1666*i + 1666*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -7*w - 23. Suppose -53 = 4*u - 1. List the prime factors of o(u).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/23 in 0.1, 3.9, -21.3, -1\/5, 16?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 + 1 + 4)\/((-10)\/(-2210))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 3\/4, -12, -6.388, 3.\nAnswer: -12, -6.388, -0.2, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 - 1 - 2*n - 1 + 2. What are the prime factors of a(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*k + 4*k. Let i be ((-3*4)\/(-6))\/(-6). What is the nearest to i in k, -1\/6, 2\/13?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360.273 centimeters in meters?\nAnswer: 3.60273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1309*h - 73440 = 382*h - 1368*h for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 121 or 130?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4 = 0, -4*i - 4*y = -3*i - 30. What is the remainder when i is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 339*x + 365. What is the hundreds digit of q(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - -213. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -14521*s**2 - 14513*s**2 + 29088*s**2 + s. Determine r(-1).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 21, 0.9576086?\nAnswer: 0.9576086","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3\/6 - 23*z**2\/6 + 91*z\/6 + 169\/2 = 0. Calculate z.\nAnswer: -3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 9576698.\nAnswer: 28730094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -27*c. Let x(v) = -122*v**2. Determine x(i(y)).\nAnswer: -88938*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.68 - -0.32. Which is the nearest to 2\/5? (a) o (b) 2\/15 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 1:51 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -1c9981?\nAnswer: 1c9986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + 4 - 4 + (0 + 1 - 2)*(2*v + 3*v - 4*v) + 357*v - 4903 + 4903.\nAnswer: 355*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from grggrrrrgrrghrrrg. What is prob of picking 1 g and 2 r?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3970326 decades in centuries?\nAnswer: 0.03970326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*l + l - 21, -1 = 3*z + 2*l. Suppose 5*o - 840 = -5*w, -z*w + 3*o + 491 = -43. Suppose -2*h + w = -61. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 61 = 3*t. Let b = 10 - t. Let c = 42 - b. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.93 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10002 + 3?\nAnswer: 10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) - sqrt(13))**2*2 + -5 + sqrt(13) + sqrt(13) + 1.\nAnswer: 2*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 384\/7*r + 4\/7*r**2 - 112.\nAnswer: 4*(r - 2)*(r + 98)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b - 19. Let h = -27 + 51. Suppose 73 = -5*p + 3*n, -2*p - 5*n - h = -n. What is the smallest common multiple of r(p) and 1?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 - 40. Suppose 0 = g - 0*g + 11. What are the prime factors of 3 - (y - g\/(-1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iix when three letters picked without replacement from ixjxjxxxxxiixixjjxj.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.8 - 10. Let d = 64 - 63.96. Let y = -0.02 - -2.02. What is the closest to 1 in p, d, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l - 1. Let s(d) = -4*d + 3. What is -s(h) - 5*x(h)?\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (400\/520)\/((-60)\/65)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/5 + 6\/30.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 234 - 117 = 129. Is 84 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p + 6. Let x(w) be the third derivative of w**4\/24 - 18*w**2. Let v = 1800 + -1805. Determine v*x(o) - m(o).\nAnswer: -2*o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/1216, 3\/4, 2\/23 in ascending order.\nAnswer: -1\/1216, 2\/23, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-10)*2\/3. Let o = -1127 - -515. Let b = o + 612.3. What is the second biggest value in 0.04, -4, p, b?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 2*l - 4*n, 0 = 3*l + 5*n - 0*n - 29. Let w be 6\/(-9)*-3 - -1. Suppose 18 + 3 = w*m. What is the remainder when l is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -75.939 + -186.2105514.\nAnswer: -262.1495514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/60)\/((-5)\/(-25))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88 - 84. Find the common denominator of 87\/64 and (-6061)\/(-770) + l\/(-5).\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((0 - 0)\/(4 + -1))\/1. Suppose x = 10*b - 11653 + 1883. List the prime factors of b.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8420 + -2?\nAnswer: -8422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - 1 - 3)\/1. Let c = -231 + 1161\/5. Are o and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*z + 139*z + 5928 = 0. Calculate the remainder when 256 is divided by z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.02, 0.4, 13100, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1578009 and -0.1?\nAnswer: -157800.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * 0.03.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64861051 is divided by 1508396.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, s: 4, e: 7, a: 5, t: 1, u: 1}. What is prob of sequence ses?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*11 - (-24)\/12. Let p be -12*(y\/16)\/1. Calculate the greatest common divisor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/4 + -3 - 3425982\/6. Let f = 843993 + i. What is f rounded to the nearest 10000?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2303*i**5 - 5*i**3*s + i**2*s + 2*i*s + 33*i + 10*s wrt i?\nAnswer: -138180*i**2 - 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12\/1519 + 80795\/36456. What is the common denominator of 63\/16 and f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -433\/1908 - -1\/212. Which is the nearest to f? (a) 1\/11 (b) -4\/3 (c) 1\/3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -111 + 1551. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 631 = u, 3*f = -3*u + 262 + 707. Suppose 0 = -6*m + 1272 - f. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/5 - 54*g - 285.\nAnswer: 3*(g - 95)*(g + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000101 rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/240 and -103\/14.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 854 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 5:22 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a - 25. Determine o(26).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 l when two letters picked without replacement from {f: 2, g: 1, l: 2, d: 2, j: 1, a: 4}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 46*w**2 - 224*w - 3917. Determine t(-43).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -i**4\/3 + 8*i**3\/3 - 6*i**2 + 6*i. Find x, given that z(x) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1))**(1\/34)\/(s**(-3\/5)\/s*s*s\/(s\/s**(8\/7)*s))*(s**(1\/2)\/s)**(-1\/30)\/((s\/((s*s**(-2\/11))\/s*s))\/s**(2\/11)) assuming s is positive.\nAnswer: s**(199\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2564407 - 11727632 = -69*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*m = 10, 4*m = 4*x + 8*m - 16. Which is the nearest to 0.2? (a) 4 (b) -1\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 3)*((2 - 1 - 2)*(3*z + 0*z - 5*z) - 25*z + 29*z - 15*z).\nAnswer: -54*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 8, 2, -2, 1\/4, -40.9, 1\/3 in decreasing order.\nAnswer: 8, 2, 1\/3, 1\/4, 1\/6, -2, -40.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-16)*-2)\/(3\/12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -36*o. Let f(v) = v. What is 6*d(x) + 204*f(x)?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 30 = -3*n. Let h be (-3)\/n - 2\/(-4). Let o(m) be the third derivative of m**4\/24 + m**3\/6 - 6*m**2. Let t(d) = 3. What is h*o(l) - t(l)?\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 90 = -36. Calculate the greatest common divisor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 550 + 677. Let v(l) = -2*l**2 + 2*l - 6. Let m be v(8). Let a = m - y. Calculate the remainder when 25 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 19 (b) -1\/5 (c) -10\/39 (d) -4 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, y: 1, u: 1, s: 2}. What is prob of sequence yu?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 15.7?\nAnswer: 15.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/4 of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121404168?\nAnswer: 2, 3, 1686169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -218 - -60. Let x = -31 - o. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 - -75. Let g = 40.00128 - w. What is g rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = 11*i - 7*i. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 t when four letters picked without replacement from {d: 5, a: 1, q: 1, b: 3, t: 1, m: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/6 and (-2611)\/872 - 2\/6*-9?\nAnswer: 2616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40192160?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 0.064, 10, -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 229768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*g**3 - 102*g**2 + 102*g**2.\nAnswer: -43*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202212212022102 (base 3) to base 9.\nAnswer: 22785272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 5*i**2 - 136*i - 1508. Give r(-9).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-289)\/255 + (-14)\/35*3.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1462 - -396. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*m = 53*m + 98. Suppose -3*k = -6*k. Put m, k, -2, -4 in increasing order.\nAnswer: -4, -2, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 5385251?\nAnswer: 3\/5385251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*(-99)\/121.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 - -76. Let r be a\/((16\/(-4))\/(2 + -12)). Solve 0*q + r*q = -25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71 - -75. Suppose -7*z + 9*z = f. Solve z - 5 = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.28 - -6\nAnswer: 6.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + o - 4. Let q(f) = -o*f**2 - 33*f**3 + 0*f**2 + 2 - 1 - f. Is q(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1438 is divided by 1373?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 378672 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 6*i)*(4*i - 6*i + 0*i)*(-i**3 - i**3 + i**3)*(-1 + 0 - 1).\nAnswer: -24*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 127623170 to the power of 1\/3, to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11499 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -128, -265, -402, -539?\n\"Answer: -137*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(2))\/sqrt(2) + 5.\nAnswer: sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/(-56) + (-117)\/483. Which is bigger: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 92 + -133. Let p = -29 - b. Calculate the highest common divisor of p and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 + 16\/40 + 346\/10 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 7:57 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r - 10800 = 9*r. Suppose 0 = 2*x - 3*g - r, 5*x - g - 2689 = g. Is x a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/(y**16*y))*(y*y**(-16))\/y*y*y**(-1\/13)*y\/y**34 assuming y is positive.\nAnswer: y**(-404\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-30)\/210)\/((-5)\/35)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19698*b**3 - 19840*b**3 + 39480*b**3.\nAnswer: -58*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -158, -165, -178, -197, -222, -253, -290?\n\"Answer: -3*j**2 + 2*j - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -7*z**2 + 182*z - 1227. Give b(9).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1371805 to the power of 1\/2, to the nearest integer?\nAnswer: 1171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -123202\/11 < -11200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 12 = 4*q, 6860*a + 57 = 6855*a + 4*q for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7511 is divided by 3169?\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -34096 and 102324?\nAnswer: 136420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5107*r**2 + 2*r + 5. Let p be g(5). Let w = p + 32660. Round w to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -1 + 6 + -1 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5099202 less than -5099201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -77, 15, 175, 403, 699, 1063, 1495?\n\"Answer: 34*b**2 - 10*b - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 10. Suppose 0 = -5*p - 3*b + 99, j*p - 2*b = 58 + 9. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/7)\/((t**(-5)*t)\/t*t))**(-45)\/((t**(3\/5))**16)**(1\/4) assuming t is positive.\nAnswer: t**(-5709\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f + 5*d - 23, 92*d - 26 = 2*f + 86*d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 894643.8 milligrams?\nAnswer: 894.6438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, s: 1}. What is prob of sequence soo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/18 - 6\/(-18)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 5*j - 10, 34 = -j - 190*v + 187*v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sn when two letters picked without replacement from {s: 19, n: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 4:49 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/226*22\/33. Let i = l - -107\/339. Find s, given that 0*s**2 - 1\/3*s**3 + 0 + i*s = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**4 + 10*t**3 - 35*t**2 - 100*t - 60.\nAnswer: 5*(t - 3)*(t + 1)*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) -3\/10 (c) -16.6 (d) -50 (e) -0.5 (f) -3 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + -1)\/((-38)\/42). Let t(g) = g**2 - 577*g - 48900. Let l be t(-75). Which is greater: z or l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/11, -4, -82\/5, 0.347 in descending order.\nAnswer: 4\/11, 0.347, -4, -82\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 172 - 168. Solve z*o - 16 = 0, 0*j + 11 = 5*j + 4*o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4*(-18)\/3. Solve -h*v - 5*a - 25 = 0, v + 2*a + 10 = 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3752.8, 7\/3, 0.3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gn when two letters picked without replacement from {g: 6, s: 1, l: 2, n: 4}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2\/147)\/((552\/(-36))\/(-23))\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 1. Let x(c) = 9*c**2 - 4. Let z(i) = -19*i**2 + 7. Let b(k) = 5*x(k) + 2*z(k). Suppose 2 = 3*r + 5. What is r*b(s) - 6*u(s)?\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 43\/10?\nAnswer: 43\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15508572 - -2?\nAnswer: -15508570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r - r - 3*r + 13 - 319*r**2 + 317*r**2 + 27.\nAnswer: -2*r**2 - 11*r + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1832331 and -114478.\nAnswer: 1717853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2661 is divided by 76?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 14 - 46 = -c, -m = c - 69. Let d be (-2 + 1)\/(2\/c). Find the common denominator of -2 + d\/15 + 2 and -101\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-54)\/(3*6\/(-24)). Solve -22*v - 2*v = k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22.52233 or 0?\nAnswer: -22.52233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 253400 and 126?\nAnswer: 2280600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 28*l**2 + 56*l - 63. Calculate x(26).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u + 20. Let v(j) = 3*j + 17. Let b be v(-5). Suppose -b*t + 53 = 13. Let k(w) = -1. What is t*k(a) + y(a)?\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f - 50. Let g(d) = -d + 7. Let b(h) = 6*g(h) + j(h). Give b(6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r - 5\/2*r**2 + 2. Let o be u(-3). What is the greatest common divisor of o and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -499901 rounded to the nearest 1000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*m + 4*m - 3*m - m - m + 0*m + 2*m + 2*m - 3*m - 3*m + m + m + (1 - 1 + 2)*(m - 4*m + 4*m) - m + 0*m + 3*m to the form w*m + p and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -157 (c) -0.5 (d) -5 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, 416 in decreasing order.\nAnswer: 416, 7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven fifths of a century?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 3*q - 16, 5*i + 13*q - 15*q - 13 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6268)\/(-4)*42\/(-2). Let s be (2\/(-3))\/((-1)\/u). Let c = s + 394765\/18. What is the common denominator of 61\/6 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - -6*(sqrt(228)*-3 + sqrt(228) - sqrt(228))) + sqrt(228))\/(1*sqrt(108)).\nAnswer: -16*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 194*c**2 + 4719*c - 1355*c**2 + 614*c**2 + 249*c - 1693*c**2 wrt c?\nAnswer: -4480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*b**3\/7 - 9879*b**2 - 17289*b\/7.\nAnswer: 3*b*(b - 5763)*(4*b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*x + 244*x = 250*x + 2220 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 219*g**2 + 27963*g\/4 + 201597\/4 = 0.\nAnswer: -6109\/292, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3620 - 1385 = 3*c - 4*t, -t = 4*c - 2980. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77009290?\nAnswer: 2, 5, 23, 191, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -165 + 207. Calculate the lowest common multiple of i and 21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 4)*(66\/15 - 5) - -184234 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104478718.\nAnswer: 2, 557, 93787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 12*f - 15. Let l = -12 - -19. What is the tens digit of u(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -39. Suppose -4*o + 122 = -i. Calculate the remainder when o is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 22*x + 28. Is 7 a factor of k(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 + -21. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/2 - 413251*u\/2 - 5991719.\nAnswer: -(u + 29)*(u + 413222)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1131166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, -28, 91455 in ascending order.\nAnswer: -28, -6, -4, 91455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.028 and 16.3246976.\nAnswer: 16.2966976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -42 from 1199299.\nAnswer: 1199341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3546.6 * 0.068.\nAnswer: 241.1688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*sqrt(1100)*4)**2 + (sqrt(99)\/(sqrt(45)\/sqrt(5)) - sqrt(176)*5).\nAnswer: -259*sqrt(11) + 17609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*((-334)\/4)\/((-36)\/24). Suppose 1106 = 2*s - 2*z, 2*z + 2383 = 4*s + r. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -4*s - 2*h, -5*s + 2*h = -14. Does 13 divide 37 - (-2 + 1 - s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 2*i - 106, -5*i - 75 = -4*d + 3. Suppose -5*u + b = -d, 0 = -3*u - 0*u - 2*b + 21. Let n(z) = -z**2 + 6*z + 5. Give n(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 5. Let k(y) = -y**2 + 575*y + 5*y**2 - 575*y. What is g(k(d))?\nAnswer: -4*d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240 less than 1011?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (-1 - -3 - 1). Calculate the remainder when 73 is divided by ((-38)\/4)\/(p\/(-4)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 10 = 3*c, 4*c = 4*s - s + 9. Let a = 5 - c. Solve 3*p = a*y - 0*p + 1, 2*y - 4*p = -4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86 + -53. Calculate the remainder when 98 is divided by j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13770763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(-33))\/(30\/(-9))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**9\/(x**(-14)*x))**(2\/75)*x**(2\/17)\/(x\/((x**(5\/4)\/x)\/x))*(x**(-2\/5))**13 assuming x is positive.\nAnswer: x**(-31853\/5100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -y + 8*o, 2*y + 36949*o = 36946*o + 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 6:12 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - 0) + (-423 + -3)\/(-6) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 2:23 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7894774 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 218396 and 284?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * 137325\nAnswer: -4119.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-3 - 0) - 10\/2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-56)\/(-140) - 38\/20)\/(33\/(-124))?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 9:31 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 424*g - 251*g**3 + 248*g**3 - 424*g.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - 0. Suppose -2*b - 10 = -5*b - 2*t, 3*b - 15 = -3*t. What is the nearest to -2 in -1, b, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 11:28 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + 4*m - 12. Let r(c) = -c**3 - 4*c**2 + 8*c + 3. Let w be r(m). Let i = w - -38. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231604551?\nAnswer: 3, 1973, 13043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -16, -23 in increasing order.\nAnswer: -23, -16, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 b when four letters picked without replacement from xxbbxxbbbxxxkxbkxxx.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*m - t, -11*m + 12*m + 3*t = -4. Suppose -8*n = 2*k - 4*n - 92, -m*k = -5*n - 92. Calculate the smallest common multiple of k and 12.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1262, -2217, -3196, -4211, -5274, -6397, -7592?\nAnswer: -8871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2122609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.9777251 micrograms?\nAnswer: 0.0000000009777251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14711, -58905, -132649, -236015, -369075, -531901, -724565?\nAnswer: -947139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5438\/18*(2 + 398\/(-4)). Let g = 29335 + m. Let y = -124 - g. Are y and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + t + 2 = 0, -5*t = i - 0 - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/2*w + 3\/2*w**2 + 1\/2*w**4 + 3\/2*w**3.\nAnswer: w*(w + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 380*i + 6. Let h(v) = 34202*v + 539. Give 6*h(r) - 539*n(r).\nAnswer: 392*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -12*t**5\/11 - 2*t**4\/11 + 190*t**3\/11 - 218*t**2\/11 - 6*t + 108\/11 = 0?\nAnswer: -9\/2, -2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15988\/113 or 142?\nAnswer: 15988\/113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-18)\/4)\/(4 + -1). Sort 19, a, -2\/3 in decreasing order.\nAnswer: 19, -2\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - -2 - (34 + -39)) + (-85 - (24 + -20)).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(11) - (sqrt(1100) + -1 + sqrt(1100)))**2 - (sqrt(99) + (sqrt(99)*1)**2)) + (2 + sqrt(1331) + -1*sqrt(1331))**2 + 3)*-1.\nAnswer: -3880 + 41*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -15\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 2*r = 10, -1276*r + 2574*r = 2*g + 1297*r - 10 + 1 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200 + -103012111?\nAnswer: -103012311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*w - 3*y = -89*w - 3, 0 = 5*w - 3*y - 3. Let h = 10 + -7. Find the second derivative of -9*b**h - 4*b**w - b**3 - 16*b**3 - 43*b wrt b.\nAnswer: -180*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d = -125*d + 756256 + 303299. What are the prime factors of d?\nAnswer: 10091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 47478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18797 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.092 - 72.092. Let o = -2420 - -2346.28. Let f = d - o. What is f rounded to 1 decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 + 52669941.679?\nAnswer: 52669941.589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 5*t**5 - 15*t**4 + 15*t**3 - 5*t**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2285 is divided by 254.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3352?\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**0*y)**49*y**7\/y**5 assuming y is positive.\nAnswer: y**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-176)\/(-44)*(-2 - 37\/(-20)). Let k be 2*1\/((-16)\/12). Sort 2\/31, i, 1\/4, k in decreasing order.\nAnswer: 1\/4, 2\/31, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3 - ((-1028)\/168 + 6) and 50\/27.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 8) to base 11.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18723?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**3*t**2 + 1149866*n**3*t + 9994*n*t**4 + 32*n*t**2 wrt t?\nAnswer: 2*n**3 + 119928*n*t**2 + 64*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -2. Let h = -7.2 - -5. Let s = -0.2 - h. Is y greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 285573088?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 7*t = -1020000. Round t to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*h - h = -866, -4*h - 180 = -v. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = f - 5*f. Let c = 44 + f. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**5\/60 - a**4\/8 + a**3\/6 - 22*a**2. What is r(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - x**2 - 1. Let f(r) = 3 - 5*r**2 + 0 + 21*r**3 + r**2 + 0. Let b(p) = f(p) + 3*w(p). What is the third derivative of b(d) wrt d?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.19325*-1187\nAnswer: -229.38775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*m**3 - 1026*m**3 - 958*m**3.\nAnswer: -1912*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-1)*(-10)\/8*(-28)\/(-35)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 8252*c + 98724. Determine s(-12).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 42 = 6*t. What is the remainder when ((-2)\/(-5))\/(-2*(-5)\/500) is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 238 + -153. Suppose 0 = -4*x - c - v, 3*c = -x - 2*c - 45. Let n = 34 + x. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(3\/2)*o**(-5)\/o)**(2\/13)*o**(-5\/4)\/(o*(o**(-4\/9)\/o*o)\/o*o)*o*o\/(o\/(o\/(o\/(o\/(o*o*((o*o**(1\/3))\/o)\/o)*o))))*o**(-1) assuming o is positive.\nAnswer: o**(-77\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17855004*p**3 + 228*p**2 - 41761*p wrt p.\nAnswer: -107130024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -909 - -1610. Is v at least as big as -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + -140?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, g: 5}. What is prob of picking 1 g and 1 m?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 209\/231519600 and -43\/140400.\nAnswer: 231519600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of (34\/(-85))\/((-4)\/32100)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*o + o + 4*m, 2*o - 2*m - 6 = 0. Let f(z) = z**3 - 4*z**2 + 4*z + 6. What is the tens digit of f(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h + 12. Let s be j(9). Let w(u) = -2*u - 10. Let r be w(s). Suppose -2*b - 2*z + r = -106, 0 = -3*b - z + 156. What are the prime factors of b?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1101*x + 1279*x - 890 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 2. Let t(j) = 11*j + 12. Let v = 371 - 371. Let w be t(v). Solve 0 = 4*a + 4*o + w, b*a + 4*o = 3*o + 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 5*q**2 + 4*q + 2. Let c be (-40)\/15*3\/2. Let o be u(c). Suppose -o*j = -3*j + 12. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - z + 3 = 0. Suppose 0*g + 10 = -2*g. Let d be -2*(-1)\/2 + -1. Put z, d, g in ascending order.\nAnswer: g, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**2 + 4552*g - 207276 = 0. Calculate g.\nAnswer: 46, 4506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -5.1. Is 1\/10 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 + (67 - (27 + -88)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*x**2 - 13*x**2 + 0*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (0\/2 - 1). Suppose l - 57 = -v*l. Calculate the remainder when 10881\/195 - 1*(-12)\/(-15) is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and -444 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-5) - 2094\/(-15). Suppose u + 4*u = x. Suppose 0 = -4*a + 2*a + u. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -2, 1.\nAnswer: -2, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132\/99)\/((56\/15)\/7) - 975\/(-26).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000046754325 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302030 (base 4) to base 6.\nAnswer: 22512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*o = 18, 5*k - o = -2*o - 51. Let x(j) = 15*j - 4*j + j**3 - 2*j + 11*j**2 + 6. What is the units digit of x(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*(-5 + -6*sqrt(612)*2 + -1))**2.\nAnswer: 9072*sqrt(17) + 793593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 - 4*g - 5. Let f be o(-7). Suppose -5*j + 2*u = -2*j - f, -3*j = u - 106. What is the remainder when j is divided by 25?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -12370 = 2736*y + 42350 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44615*x**2 - 42555*x + 2060 = 0. What is x?\nAnswer: -1, 412\/8923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**5 - 16*q**4 - 48*q**3 - 64*q**2 - 32*q.\nAnswer: -2*q*(q + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence anv when three letters picked without replacement from vnnuuuuauuunuunau.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -68, -65, -48, -11?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/10)\/(-7)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -4\/3*k + 51 - 49\/12*k**4 + 4*k**2 - 7\/3*k**3. Suppose u(a) = 0. Calculate a.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 25. Let v be s(20). Suppose 448 + 132 = v*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -49110 + p + 49110. Let j(x) = 82*x. Determine 6*h(c) + j(c).\nAnswer: 88*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 9:21 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -182, -176, -170, -164, -158?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-50)\/(-1)*10\/20. Let v be 4*(-4)\/20*n. Let r = -15 - v. What is the highest common divisor of 25 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*o = -f + 651, 11498*f - 12 = -3*o + 11501*f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by ((-1267)\/543)\/(2\/(-90))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -925*a**3\/3 + 49. Let r(c) = -2*c. Determine r(s(m)).\nAnswer: 1850*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 440460*c - 5725135.\nAnswer: -5*(c - 88079)*(c - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4285056036188.4 minus -0.5?\nAnswer: -4285056036187.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {t: 3, h: 3, b: 13}?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*i + 47*i + 61*i + (-4 + 0 + 3)*(-2*i - 2*i + 2*i))*(-i - 1 + 1)*(-1 - 2 + 2).\nAnswer: 145*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 350740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 136050653 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 422 = 1654. Let c = y + 216. What is the remainder when c is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1502 - 0.026?\nAnswer: -0.1762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 786844606\/304821 + 2\/304821. Let c = z + -2604. Find the common denominator of -36\/5 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 8*g. Let a(z) = -76*z**2. Determine u(a(p)).\nAnswer: -608*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28011371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -6 - 2, -2*l + 2*f + 18 = 0. Suppose 16 = -7*r + 3*r, -4*p = l*r - 156. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -1. Let d(n) = 23 + 17 + 26 + 6*n - 62 - 2*n**2. Let m(t) = -d(t) - 4*s(t). Suppose m(j) = 0. Calculate j.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 + -0.02. Let j = g + 0.18. Let t = 11.3 + -12.3. Which is the third biggest value? (a) 1.6 (b) j (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 79 + 28 + 0 - (-46 - -85)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1 = 0, -4*p = 4*l - 2*l + 14. What is the closest to -1\/3 in -29, -0.2, 5, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4152 - -6611. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 10*b**2. Let q(l) = l. Let v(g) = -g + g - 2*g. Let n(a) = 9*q(a) + 4*v(a). Give x(n(j)).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3130 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: Calculate the least common multiple of 20 and 348.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27139561?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {k: 1, q: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 8*r + 21 = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/6))**(-2\/37)*t**(-1\/17)*t*t*t**(4\/17) assuming t is positive.\nAnswer: t**(4124\/1887)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y**2 + 0*y**2 - 2*y**2)*(y + y - 12*y) to i*y**2 + l + u*y + f*y**3 and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-9))\/(6\/(-27)). Let v = -295393\/4320 - 19\/864. Let h = v + 69. Which is the second biggest value? (a) 0.1 (b) x (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1902, -3810, -5718, -7626, -9534?\nAnswer: -11442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*w - 7 = 0, -3*v - 5*w + 11 = -2. Let t(h) be the second derivative of 7*h**3\/6 - 2*h. What are the prime factors of t(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -6. Let l(f) = f**2 + f. Let g be l(-1). Suppose 3*u = -g*u + 9. Solve -4 = i*k - 5*b - 5, u*b - 3 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x - 13 + 13.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15928)\/880 - (-2)\/20. Let y(v) = -v**2 - 15*v + 50. What is y(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53756?\nAnswer: 2, 89, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3425 + 3?\nAnswer: -3422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1))**(-7))**(-43) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1371.5 + 1372. Let i = -28 - -11. Let o be (-2)\/6 + i\/(-33). What is the smallest value in o, x, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7845*a**2 + 42902*a - 314492390 with respect to a.\nAnswer: 15690*a + 42902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*c = -9 + 93, -o - 2*c + 80 = 0. What is the least common multiple of o and 10?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 56674821327*b - 3 + 5 + 56674821327*b + 2*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -90479731, -90479730, -90479729?\n\"Answer: y - 90479732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10364608 and 2048?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6916.\nAnswer: 2, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-3 + (-5 - -7))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/30 + 21274\/30 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/(h*(h*(h\/(h*h**11))\/h)\/h))\/(h\/(h**(-10)*h)))**(-4\/17))**(-20) assuming h is positive.\nAnswer: h**(240\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 6:27 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v - 56. Let s be k(12). Solve 5*a + 10 = 0, -i - 2 = -s*a - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 7*o + 11. Let i be l(-8). Solve 2*k + 0*w = -i*w - 5, 0 = k + 4*w for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*l = 13*l - 18886. What is the greatest common factor of l and 114?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + v**2 - 5*v - 4. Let f(a) = -22*a + 1. Suppose 3*n = 2 + 1. Let l be f(n). Let m = l + 18. Determine p(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134892869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 264 + 248d?\nAnswer: 2713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 744*s. Let t(l) = -3*l**2 - 2*l. Let w(b) = b**2 + b. Let u(q) = -t(q) - 2*w(q). What is i(u(a))?\nAnswer: 744*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5 = 5*y, -y = -n - 2*y + 5. Let z(u) = u**2 - u - 4. Let f be z(-2). What is the remainder when (-84)\/(-10) + f\/(-5) is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64 + -45. Let a = 42 + -17. Suppose a = 4*i - g. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1125 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + (-10)\/(-2))\/2. What is the tens digit of (s + -3)\/((-16)\/352)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146, -211, -310, -437, -586, -751?\nAnswer: -926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 173 = 10*y + 318, -2*y - 98 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-2 - (1 + 1 + 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**4 + 7347*r**3 - 324036*r**2 - 6401892*r - 6070512 = 0?\nAnswer: -2492, -14, -1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 1 = -0*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 82409401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 33*2 - -2 - 0. Let q = -65 + r. Solve -j = -2*h + j - 6, q*j - 9 = -3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/264 and 79\/21?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*h**4 - 4*h**2 + 15591.\nAnswer: 28*h**3 - 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2 + 7. Suppose q + 5 + 3 = 0. Let t = q + 4. What are the prime factors of l(t)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133102020 (base 4) to base 15\nAnswer: 27e76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - 2. Let n be 0\/(h\/(25\/10)). Solve n = -l + 4*l - 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czk when three letters picked without replacement from kkkzzzzzcczzzk.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -4. Suppose 3*c + 7 = -u, 3*c - 3 = u - r. Which is smaller: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -z**8\/336 + 3*z**7\/56 - z**6\/3 + 2*z**5\/3 + 38*z**3\/3 + 36. Let c(p) be the third derivative of w(p). Factor c(s).\nAnswer: -5*s*(s - 4)**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -10. Let z(l) = -8*l + 1. What is z(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4613*h + 1531*h - 6 + 1 - 6 - 6*h**2.\nAnswer: -6*h**2 + 6144*h - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 840 = -7*y. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30 - 26)*((-9)\/48)\/(-3) - 0\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*6*2\/2)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.97 rounded to 1 decimal place?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 1\/5, -4\/51?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35490 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*y = -21*y. What is the remainder when (y - (-9)\/15) + (-16884)\/(-60) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24196 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 5 + (5 - 2 - 4)*(0 + 1 - 3))*(33*s - 65*s**2 - 33*s).\nAnswer: -65*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3825)\/675)\/(2\/6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 902191.1 minutes?\nAnswer: 54131466000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + g + 1. Let u be r(-5). Let d be u\/(-35) - (-6)\/(-15). What is the second smallest value in 0.4, 2\/17, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/18 - 2671\/(-9). Does 22 divide p\/13 - 4\/(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -116, -123, -130, -137, -144, -151?\n\"Answer: -7*m - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 smaller than 3.22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, o: 2, s: 2, z: 3}. What is prob of picking 1 i, 1 z, and 1 s?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3649 + -767?\nAnswer: -4416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-1) - (1 - 1*-24). Let x = 22 + c. Let r = 0.33 - -0.17. Put x, -3\/2, r, 1 in descending order.\nAnswer: 1, r, -3\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5 - 5 - 113*b**2 - 9 + 112*b**2 - 21*b. Let l be o(-8). What is the second derivative of -85 - l + 168 + v**3 - 13*v - 6*v**2 wrt v?\nAnswer: 6*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -28 (b) -258.4 (c) -32\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -219*s + 31091. Determine o(142).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 67*f + 26*f - 651 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w + 4. Let j(c) = -13*c - 9. Let p(t) = 3*j(t) + 7*n(t). Let v be p(1). Suppose -r = v*r - 30. 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: Calculate -3 divided by 86241.\nAnswer: -1\/28747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bfm when three letters picked without replacement from {u: 10, b: 1, f: 2, v: 4, m: 1}.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 43*q - 59. Let y be n(-39). Let c = y + -94. Let -1\/2*g**c - 3\/2*g**2 + 3\/2 + 1\/2*g = 0. What is g?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 13*q + 20. Let s(r) = -r**2 - 3*r - 3. Let b be s(q). Let x = b + 43. What is the highest common factor of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 162 = 5*d. Let g(b) = b**3 + 7*b**2 + 3*b. Let s be g(-6). What is the greatest common factor of d and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1 + -3 - (2 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065 divided by 5?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 10*y**3 - 3*y**2 - 5*y - 3. Give p(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**7*o**3*o)\/(o\/((o*o**1)\/o))**2)**20)**(13\/4) assuming o is positive.\nAnswer: o**715","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 494?\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4\/9 + 374*b**3\/9 + 4624*b**2\/3 - 39304*b.\nAnswer: 2*b*(b - 17)*(b + 102)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11474?\nAnswer: 2, 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/22777 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 1498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -76?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*u = -16, -2*m - 2*u + 18 = -4*m. Sort -1\/7, -2\/11, 3\/8, m in descending order.\nAnswer: 3\/8, -1\/7, -2\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 102 - 234*s + 120*s + 116*s + 2*s**2 as d + v*s**2 + f*s and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eegeegegeeggeeee. Give prob of sequence gege.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**5\/5 + 42*m**4\/5 - 582*m**3\/5 + 3044*m**2\/5 - 6681*m\/5 + 5202\/5 = 0.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(72)*5 + -1.\nAnswer: -30*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6898 take away 50096?\nAnswer: -56994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -8304*z + 224162. Determine t(27).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25061 or -25056?\nAnswer: -25056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8.85 from -6.\nAnswer: 2.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*h + 19, v - 13 = -0*v + 3*h. Suppose -v*m = -344 + 56. Let z = m + -10. List the prime factors of z.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 150, -10675, 5.\nAnswer: -10675, 1, 5, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 15*c - 29. Let p be z(17). What is the second derivative of -4*t + 24*t + 35*t**p - 6*t + 17*t wrt t?\nAnswer: 700*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-837)\/(-1488))\/(3\/(-4))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -317, -316, -315, -314, -313?\n\"Answer: f - 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/5)\/((-849)\/2830)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -157. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -u**5\/96 + 199*u**4\/96 + 10*u**3\/3 - 4*u**2. Determine l, given that o(l) = 0.\nAnswer: -2\/5, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35003604 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22539258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 135108 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 13588?\nAnswer: -1\/3397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1484 - 14733\/10. What is the common denominator of r and (-2)\/6 - (-1727)\/726?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360114 = 4*z - t + 30041, 2*t - 247563 = -3*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -175*y**5 - 423*y**4 + 240110*y**2 wrt y.\nAnswer: -10500*y**2 - 10152*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 374628 and 108?\nAnswer: 3371652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2*y - 5 + y + (-2 + 1 + 2)*(y + 2*y - 2*y) + (-2*y - 3*y + 6*y)*(3 + 0 - 1) in the form s*y + k and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.3 - 5.3. Which is the closest to 1? (a) i (b) -0.2 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u - 4032 = -q - 18*u, 16188 = 4*q + 4*u. What are the prime factors of q?\nAnswer: 2, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f**36*f*f)))\/(f*f**25) assuming f is positive.\nAnswer: f**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, v: 15}. Give prob of sequence vzv.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -316 - -328. Calculate the lowest common multiple of m and 546.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -1033133?\nAnswer: -1033142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 26*b**2 + 71*b + 26. Is s(-29) a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s + 7. Let d(o) = -6*o - 6. Let j(a) = 3*d(a) + 2*h(a). Let p be j(-6). What is the greatest common factor of 16 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - -14) + (4 - -2) + -9 + -5.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-174)\/36)\/(-29) - -844*27\/(-144504)?\nAnswer: 2\/223","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -403173, -806469, -1209769, -1613073, -2016381, -2419693?\n\"Answer: -2*h**2 - 403290*h + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1506?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1214.6679 rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ew when two letters picked without replacement from eewwxoxwoxw?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*q - 85, -5*q + 5*d = 2*d - 116. Suppose -5*y + 2*m + 10 = 0, 5*y - 4*m - q = m. Let i(x) = -x**2 - 5*x + 13. Let t be i(-7). Does y = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*k + 3. Let d(f) = 2*f**3 - 2*f**2 - f**k - 2*f - 2*f**3. Calculate the remainder when 29 is divided by d(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -60, -106, -162, -234, -328, -450, -606, -802?\n\"Answer: -g**3 + g**2 - 42*g - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -15. Does 4 divide ((a\/(-6))\/(-7))\/((-1)\/36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -302.93132548824 + 3.18575378624. Let a = j + 0.744988702. Let r = 299 + a. What is r rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2810007 and 33390.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 6284616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 61*o**2\/2 + 45*o - 95. What are the prime factors of x(7)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-799733)\/15341 + 21\/161.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/233 and -2\/3.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-380 - 512*q - 523*q + 1039*q)*(-1 + 1 - 2*q) - q**2 - q**2 + q**2)*(3 + 1 - 6) to the form j + c*q**2 + a*q and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 6*w**2 + 1. Let h be j(-6). Let g(t) = -4*t + h + 8*t - 3*t. Let l be g(-1). Solve 0 = -5*v, -5*v + 10 = 5*m - l*v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -116, -2, -0.05, -0.12?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5578 + -5573 + 0 + -18.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -24*b**3 - 4*b**2 - 5*b - 1. Let d be l(-1). Calculate the highest common divisor of d and 3612.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232020122120 (base 4) in base 5?\nAnswer: 11043434310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (63\/(-882))\/(-2 + 18\/8). Let u(j) = 0*j**3 + j**3 + 1 - 3*j**2 - 6*j + 2. Let d be u(4). What is the closest to k in 2, d, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.243 less than -2885.1?\nAnswer: -2885.343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22110*-0.127.\nAnswer: -2807.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7889, -1, 0.4, 1, -2\/7.\nAnswer: -7889, -1, -2\/7, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2461, -2459, -2457, -2455?\nAnswer: -2453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 233d - 4?\nAnswer: 2339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s**3 + 32*s**2 + 19*s - 4. Let p(d) = -d**3 + 8*d**2 + 5*d - 1. Let w(f) = 9*p(f) - 2*v(f). Give w(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 215731*c - 1294350.\nAnswer: -(c + 6)*(c + 215725)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7406, 8357, 10984, 16127, 24626?\nAnswer: 37321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10569170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = o + 2*d + 23, 0 = d + 4 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**3 + s**2 + 2*s + 6. Let u be k(-2). Suppose 328 = 32*i - u*i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(192)*-2 + -3 + 0).\nAnswer: 3 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**3\/6 - 71*i**2\/6 + 381*i\/2 + 1365\/2 = 0.\nAnswer: -3, 35, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*d + 19 = 6, -r - 5*d + 19 = 0. Let v(c) be the third derivative of -c**6\/120 + c**5\/12 - c**4\/12 + c**3\/6 - 4*c**2. Calculate v(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278230145 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-8)*-4 + 28. Suppose -40 = -5*z - v. Suppose 0 = -2*g, 3*n - 108 = -n + g. Calculate the least common multiple of z and n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -2\/3 (c) 16\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * 29781.\nAnswer: -416934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w**2 - 4*w**2 + 3*w**2)*(-128 + 1961 - 355 + 1738 - 64) in the form y*w + l + v*w**2 and give v.\nAnswer: -6304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*a - 121*a = 239*a + 9198 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 763 + -756. Let f(a) = 13 - 4*a + 4*a**2 - 3*a**2 - 7*a**2 - 7*a + o*a**2. Give f(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -950*t + 940*t = -17360. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67 - -133. Let i = t - 72. What is the fourth smallest value in 0, 0.3, i, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1150.882 kilometers to millimeters.\nAnswer: 1150882000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*t = -2*z + 5, t - 8 = -3*z. Let v(b) be the first derivative of -2*b**2 - b + 2. Give v(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*i + 21*i - 7*i**2)*(-4*i - 20*i - 11*i) - 3*i**2 + 3*i**2 - 3*i**3.\nAnswer: 242*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -147286.852 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1431 or 1260?\nAnswer: 1431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*r - 95 = 127, 4*h + 4*r - 452 = 0. List the prime factors of h.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1732300 rounded to the nearest 10000?\nAnswer: 1730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2 = -2. Suppose -g - u*s = 2*s - 58, -4*g - 2*s + 176 = 0. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16585610 at most 16585610?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16\/9*b + 1700\/9 - 1\/9*b**2 = 0. What is b?\nAnswer: -50, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, m: 6, n: 1}. What is prob of picking 1 q and 2 m?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44628 and 3936.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**2 + 123*n + 100. Determine u(54).\nAnswer: -2006","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -445*f - 9074. Calculate r(-25).\nAnswer: 2051","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1080521?\nAnswer: 13, 83117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one halves of a milligram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.32 - -4.72. Which is the second smallest value? (a) -2\/11 (b) 0 (c) 8 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000298 to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 3. Let t(h) = 3*h**3 + 77*h**2 + 47*h - 80. Let k be t(-25). Put -9, 1\/2, k, i in increasing order.\nAnswer: -9, k, 1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 181\/4 + -45. Let u = -1 + 0.7. Is u less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 c when three letters picked without replacement from {c: 8, m: 9, t: 2}?\nAnswer: 96\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 149110 and 11284.\nAnswer: 2087540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6720 + 6820. Calculate the least common multiple of h and 52.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-4 + -5)) + 1 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a meter in millimeters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + 4 + (sqrt(363) - ((sqrt(363) - (-1 + sqrt(363) - sqrt(363))) + -1)))*-6)**2*-2*-2.\nAnswer: 9216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 - 530*c - 13800.\nAnswer: -5*(c + 46)*(c + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 - 59 = -3*q - p, -4*q = -3*p - 14 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 8:24 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 16*p**2 - 24*p - 86. Calculate the remainder when j(-3) is divided by 69.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -1\/3*k**3 + 0*k**2 + 10 + 3*k. Differentiate u(y) wrt y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 4:04 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 95\/5*((-60)\/(-10))\/((-104)\/52)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**22)**6*(y*y**(-6\/7))\/y*y**9*y assuming y is positive.\nAnswer: y**(1030\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c + 16. Let o be f(9). Solve 0 = 4*h, -b - 2*h + o*h = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-136)\/(-476)*14*1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -22727*0.3\nAnswer: -6818.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -54\/23?\nAnswer: -54\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 1, 160, -12, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h - 15. Let i be r(-8). Let t(d) = -d**3 - 5*d**2 + 6*d - 1. Let q be t(i). What is the highest common divisor of 22 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from macaakmkmadmapcmmkmm. Give prob of sequence dpm.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3438313 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2\/19 (b) 4 (c) 3\/7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -425*y**4 + y**3 - 97*y - 1 wrt y.\nAnswer: -5100*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 177, 203, 243, 297, 365, 447?\nAnswer: 543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) -3 (c) -1\/4 (d) -4\/5 (e) -33514\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -21*d**3 + 18*d. Let r(i) = 45 + i - 45 - i**3 + 0*i**3. Let f be (1\/1 + -5)*(-62)\/248. Let w(y) = -6*y + 7. Let b be w(f). What is b*q(s) - 18*r(s)?\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3723608 and 1180?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 - 3)*(-4 + 3 + 27)*(3*r**2 + 7*r - 2 + 7*r - 17*r) as b + n*r**2 + l*r and give l.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * -56.657.\nAnswer: 793.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*n + n - 8, 0 = -4*i + 4*n + 4. Let y(t) = -t**2 + 9*t - 5. Let a be y(8). Suppose a*l - 6 = 12. What is the remainder when l is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 4746019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -8*k**2. Let w(x) = 61*x**2 - 18*x + 18*x. Determine w(z(m)).\nAnswer: 3904*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*c = 340. Suppose 3*r = 2*r - c. Let p = -26 - r. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.7296716 centuries?\nAnswer: 72.96716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/136)\/((-15)\/(-20)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -862*q - 1 + 6070*q - 253*q.\nAnswer: 4955*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -15.5. Let j be 40\/50*(-10)\/(-4). Let i = 487\/1680 - 1\/240. What is the closest to 1 in d, i, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fww when three letters picked without replacement from {f: 2, w: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 4038, -3\/4 in decreasing order.\nAnswer: 4038, 0.1, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -15584859?\nAnswer: -2\/15584859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*p - 9*p**2 + 20*p - 74*p.\nAnswer: -9*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -20*i**3 + 2*i**2 + i. Let r be s(-1). Let j = r - 19. Solve -j = -2*g - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(300)*1))**2 + 5 + (sqrt(10)\/(sqrt(1000)\/sqrt(5)))**2 + -4.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*f - 59*f + 17*f - 3*f + 42*f - 1.\nAnswer: -59*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13912700 and 29.1?\nAnswer: 13912670.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 + 31*w - 18. Determine f(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + j**2 + 3*j - 3. Let b be x(0). Let y be (-4)\/b + 12\/18. Suppose -c + y*c = -c. Solve -q - 5*r = 4*q - 10, -2*r - 6 = c for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 945154093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224*p**2 - 7 - 36*p**3 + 52*p + 30*p**3 + 935*p**2.\nAnswer: -6*p**3 + 1159*p**2 + 52*p - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, -2, -3, 122 in increasing order.\nAnswer: -3, -2, 48, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k + k - 2*k + (-3 + 2 - 2)*(2*k + 2*k - 32*k) to o + j*k and give j.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-2)*(-36)\/(-90)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g\/g**0)\/g)**1\/(g*(g\/g**(-3\/4))\/g*g*g**(4\/7))*(g**(-4\/9)*g\/g**2)**(-44) assuming g is positive.\nAnswer: g**(15683\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c**3*y + 23941535*c**3 - 14327295*y wrt y?\nAnswer: -c**3 - 14327295","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 1869?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.043\nAnswer: -0.0129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 8*d**2 - 7*d. Let c be v(-7). Suppose -m + 1 = -c. What is the remainder when 3 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -601*l**2 - 3264*l - 3267. Determine w(-1).\nAnswer: -604","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r**3 + 2*r**2 - 2. Let q = -4 - -9. Suppose 3*n - q = 1. Does 15 divide k(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36 - 1 - (-60 + 51)) + (-29 - -28)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 336566743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 - -56. Let w be (1\/1)\/((-1)\/(-11)). Let x = w - m. Let k(t) = -t**2 - 4. Let o(a) = a**2 + 5. Give x*o(y) - 3*k(y).\nAnswer: y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-78118.\nAnswer: 390590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**4\/4 - 4*u**3\/3 + 5*u**2\/2 + u. Let r be t(5). Let j = r - 20. Calculate the lowest common multiple of 10 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80 - 16*g + 9*g + 80.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 277 + -421. Let v = 147.04 + x. Let t = v - 3. Round t to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 23 = 4*c, 0 = -3*c - 0*c - 15. Solve g*p + 9 = 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 - -33. Let k be (3 + (-7 - -5))*a. Is k at most as big as -3\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1223392 is divided by 1850?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 48330 >= -2\/3727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1667866043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 159141.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 1202.\nAnswer: -1\/601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8 + 2)\/((-3)\/4). Let u(n) = -326*n + 6847. Let y be u(21). Let m(b) = 6*b - 2. Let a be m(1). Sort 3, a, k, y in ascending order.\nAnswer: y, 3, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 11:27 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-56)*4)\/(5\/10)*11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1318 and 99509?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 1033*a**2. Let p(s) = 7*s**2 - 8*s + 4. Let f(y) = -19*y**2 + 22*y - 11. Let l(u) = 4*f(u) + 11*p(u). Calculate l(c(k)).\nAnswer: 1067089*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n - 3*n + 5*n)*(-13781 + 13229590*n + 1123 - 13229588*n - 28).\nAnswer: -4*n**2 + 25372*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2\/5 + 2686*b\/5 - 43346112 = 0. What is b?\nAnswer: -11103, 9760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12580?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -30. Suppose 0 = 5*y - 14 + 19. What is the nearest to y in -2, -1\/5, f?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -313 + 315. Suppose a*c + 215 = 3*c. List the prime factors of c.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58864633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o + 6. Let v be w(0). Let p(s) = -s. Let r(x) = x - 24. Let g(k) = v*p(k) + r(k). What are the prime factors of g(-17)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 95 * 107.\nAnswer: 10165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*a = -0*a + 156, -4*k - 5*a - 316 = 0. Let d = k - -167. Suppose 4*n + o - 175 = 0, -2*n + 0*o = 5*o - d. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -142, -329, -516?\n\"Answer: -187*g + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -22114, 5 in ascending order.\nAnswer: -22114, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 - (3224400\/(-1975))\/(-24).\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 13*t + 10. Is w(-6) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -938, 1, -11, 3, 35 in decreasing order.\nAnswer: 35, 3, 1, -11, -938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 12:58 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 266064*f**4 + 277656 wrt f?\nAnswer: 1064256*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 2*q + 2*q)*(-q**2 + 124*q - 34*q - 90*q - 11647*q**4).\nAnswer: -81529*q**5 - 7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -9 - 3 + 2*w + w**3 - 4 + 22 - 5*w**2. Give j(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16356894 is divided by 5452295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 17166.275 to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 3*t - 660 = 7*i, 5*i = -t + 660. Let m = i + -662\/5. Which is the third smallest value? (a) m (b) -3\/2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 11098, 4 in ascending order.\nAnswer: 1, 4, 11098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -4*q - 4*r, -r + 32 = 2*q - 4*q. Let k = 23 + q. Solve 4*c = -0*m + 3*m + k, 2 = -m + 2*c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 498*g + 21. Let z be c(-6). Let b be z\/(-20) + 45\/60. Let s = b + -149. Which is greater: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -9*d + 9. Let u(l) = -5*l + 5. Let z(f) = 11*u(f) - 6*x(f). Let o be 0*(-3 + 2 - 0). Suppose o = -3*r + 3 - 6. Determine z(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -5*l**2. Let v be 0\/(2 + 3 + -6). Let r(a) be the first derivative of 2\/3*a**3 + 0*a**2 + 6 + v*a. What is r(p(b))?\nAnswer: 50*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*z - 25*z - 24 = -5*s, 4*z = s. Let c(i) be the second derivative of 0 + 7\/45*i**3 - 1\/90*i**s - 10*i - 4\/5*i**2. Factor c(g).\nAnswer: -2*(g - 4)*(g - 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365019162\/17 at least as big as 21471716?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -66\/943 + -293924\/31119. Let f = l - -28\/3. Suppose 3*m = 5 + 4. Which is the third smallest value? (a) 0 (b) m (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 + 1510*g**2 - 105525*g + 2146500.\nAnswer: -5*(g - 212)*(g - 45)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 2*k + 3*k - 18, -107*k + 36*o + 216 = -108*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 299 + 91 - 393 - f - 414*f**3 to the form b*f + s + z*f**2 + g*f**3 and give g.\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/(-12))\/((-9)\/((-918)\/8)) and (-948)\/(-408) + -2 + 2.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 17 = 4*a, -134*j = -2*a - 131*j - 11 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 40.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 9*p**2 - 6*p + 7. What is the hundreds digit of a(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 5*h**2 - 8*h + 8. Let v(s) = 3*s**2 - 5*s + 5. Let f(a) = -5*l(a) + 8*v(a). Let k(y) = 4*y - 21*y - 14*y. What is f(k(w))?\nAnswer: -961*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15119 - 15144.564. Let f = c + 25.6. Round f to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/(f*f*f**(-6)*f))\/f*f*f\/((f*(f*f**(-5))\/f)\/f)*((f*f**1)\/f)**(-11\/6))\/((f**(1\/2)*f**(2\/9))\/(((f**(1\/6)*f*f)\/f)\/f**4)) assuming f is positive.\nAnswer: f**(101\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y - 9*y = -4845. Does 21 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-141289.5\nAnswer: 56515.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -390 + -1216?\nAnswer: -15a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -138, -51, 234, 783, 1662, 2937?\nAnswer: 4674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4 + -2*(2 + -1*sqrt(112) - (-3*sqrt(112) + -3)**2))*4.\nAnswer: 608*sqrt(7) + 8101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5348 is divided by 206.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + -2.3. Let o = 9 + -13. Let s = -34578 - -34579. Which is the biggest value? (a) s (b) o (c) p (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (3*sqrt(190)*-1)\/(sqrt(50)\/(sqrt(45) + sqrt(5))))**2 + (sqrt(209) + (3*4*sqrt(209) - sqrt(209)))\/(sqrt(11) - sqrt(55)\/sqrt(5)*5).\nAnswer: -75*sqrt(19) + 2745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1950.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2 + 21*z**3 + 1.\nAnswer: 21*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 916 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/((-81)\/(-12)))\/(((-240)\/198)\/10).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6727667 is divided by 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.020978105 to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5815*u**2\/2 + 36*u.\nAnswer: u*(5815*u + 72)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((16\/(-9))\/(-4))\/((-66)\/(-9)). Which is the biggest value? (a) 4 (b) m (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (0 + sqrt(200) + 0 - (sqrt(200)*-2*1 + sqrt(200))) + 0 + 3)**2.\nAnswer: 280*sqrt(2) + 849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 740*h - 48*h + 357*h to the form b*h + w and give b.\nAnswer: 1049","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 88 = -y + 4*y, 2*y = 5*a + 42. Let x(o) = 2*o**2 + 343*o + 4222. Calculate the remainder when x(-13) is divided by y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2496 - -2494.1. Is -14\/13 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2. Let a be 20\/(-8)*(-8)\/2. Suppose -5 = -5*j + a. Let b(p) = 1 - 1 - j*p**2. Give s(b(n)).\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1566, -3132, -4700, -6270, -7842, -9416, -10992?\nAnswer: -12570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5539800, 5539777, 5539754, 5539731, 5539708?\n\"Answer: -23*q + 5539823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43875*d**2 + 87743*d**2 - 43868*d**2 - d**3 + 19*d.\nAnswer: -d**3 + 19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - (sqrt(35) - sqrt(4235)*-2))\/(sqrt(7)*2*6).\nAnswer: -11*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j**2. Let l(g) = 2*g + 7. Let d(y) = -2*y - 6. Let b(k) = 7*d(k) + 6*l(k). Calculate b(s(f)).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5*r + 7. Calculate m(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 4*u = 4, -50*u - 28 = -4*k - 46*u for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -126823 (base 10) in base 3?\nAnswer: -20102222011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5574*o*z**2 + 239*o + 10 wrt z?\nAnswer: 11148*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + b + b = 0. Suppose 10*d - 13*d + 12 = b. Find the third derivative of d*q**2 + 9*q**2 - 6*q**3 - q**3 + 2*q**3 wrt q.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 11*i - 4. Let q(t) = -t - 1. Let x = 49 + -48. Let d(n) = -9*n - 2. Let p(o) = x*d(o) - 4*q(o). Calculate 5*p(a) + 2*w(a).\nAnswer: -3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/3, -2\/3, 946, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 9*q**2 + 9*q + 11. Suppose 4*i + 50 = 9*i. Let w be r(i). Sort -2, 3, w, 8 in descending order.\nAnswer: 8, 3, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -17*n**3\/6 + 21*n**2\/2 - 14*n. Let y be v(-5). What is y rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52416382 a multiple of 294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 205 + 114 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -309 - -251. Sort w, 3, 2, -2 in descending order.\nAnswer: 3, 2, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37 - -42) + (-6 - 11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/15 (b) 0 (c) -194 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5247287933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 + 0*t**3 - 11*t**3 + 4*t**3.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 327 + -334.28. Let g = c + 7.3. Let a = -0.02000442 + g. What is a rounded to 7 dps?\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d. Let v(g) = -2*g - 2. Let u(m) = 2*m + 5. Let n(c) = -3*c - 10. Let l(f) = 2*n(f) + 5*u(f). Let o(h) = -2*l(h) - 5*v(h). Calculate o(w(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 5*m + 41, 2*m - 54 = 10*b - 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 + 55120543?\nAnswer: 55121011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/14)\/(2\/4) + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 61 and 2.2.\nAnswer: 134.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*p**2 + 3*p - 6*p**2 + 5*p - 37*p**2 + p + 124*p**2.\nAnswer: 37*p**2 + 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 z when three letters picked without replacement from {z: 1, h: 1, x: 2}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 291783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1417 - -1417. What is the nearest to n in -1\/3, 0, -7, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - z + 4*u = -5, -3*z + 15 = -4*u. Suppose -3*p + b + 52 = 0, z*p + 2*b - 82 = -10. What is the remainder when 47 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 + 5742303?\nAnswer: 5742315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**7\/70 - 3*w**6\/70 - 3*w**5\/140 + w**4\/28 + 5*w**2 - 3. Let t(a) be the second derivative of s(a). Solve t(j) = 0 for j.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by 33?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 2878853\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o - 17*o - 34*o + 11*o = -235 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n + 171*k - 124 = 174*k, 48 = -4*n - 4*k for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*q - 8*q - 3. Let m(j) = 1 + 0*j + 2 - q + 10*j. Let l be m(1). Solve 3*s + 4*c - l = 0, -3 = -3*s + 3*c - 4*c for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -92.3 + 93. Let u = m - 0.700001403. What is u rounded to seven dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 472786.5 hours?\nAnswer: 19699.4375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -292105 and 15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**4 + 760*p**3 - 14945*p**2 + 14190*p = 0. What is p?\nAnswer: 0, 1, 22, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -613, -1216, -1819?\n\"Answer: -603*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**8\/6720 - s**4\/6 - 3*s. Let g(w) be the third derivative of l(w). Suppose g(y) = 0. What is y?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -56. Let z = f + 84. Let w = z - 38. Sort 9, 3, w in decreasing order.\nAnswer: 9, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from xjjjjjrrjjjjjjjjj?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -9)\/(33782\/(-889))?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -652*m - 9. Let l be z(1). Round l to the nearest 10.\nAnswer: -660","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kubfbfuffffkfuffffbf. Give prob of picking 2 b.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 508*k - 506*k = 164. What is the remainder when 261 is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 2*q - 5 = 2*p + 6*q - 13, -3*q = 86 - 89 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 12.1. Let t = d - -0.1. Is 0.2 less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*m = -16*m - 23*m. Let u = -5 + 12. Let j be 2\/7 - (-12)\/u. Solve m*o + o = -j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -15*n**3 - 12*n - 9. Let z(p) = -p**3 - p - 1. Suppose -5 = -u + 49*g - 47*g, 0 = 4*u - g + 1. Calculate u*o(d) + 12*z(d).\nAnswer: 3*d**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 1 = -4*s. What is the nearest to 0 in -0.3, 2\/3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**3*p**2*w**2 - 2*h**3*p**2*w - 2*h**3*p**2 + 42*h**2*p*w - 2*p**2*w**3 wrt w?\nAnswer: 2*h**3*p**2 - 12*p**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 31 - 35 - 119*t + 68 + 308*t. Is p(4) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b. Let f be 60\/(-12)*(-2)\/(-2). Let k be (-22)\/f - (-2)\/(-5). Let s(h) = h - h + k*h + 2*h. What is x(s(r))?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 0.24 (b) 2\/21 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/8 and 62\/2512535?\nAnswer: 20100280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-16))\/x*x)\/x**4)**(-12\/5) assuming x is positive.\nAnswer: x**(-156\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, k: 12}. What is prob of sequence vvk?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 966147 and 273.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppuuuuu. Give prob of picking 3 u and 1 p.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5677*g**4*n - 313*g**3*n**3 + 2*n**3 - n**2 - n + 227825 with respect to g.\nAnswer: 22708*g**3*n - 939*g**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 395 - 46*l - 196 - 9*l - 198.\nAnswer: -55*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -14*r - 801. Let b(h) = h + 11. Calculate 10*b(l) + d(l).\nAnswer: -4*l - 691","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, k: 3, m: 1, a: 2, v: 4}. What is prob of sequence vavv?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 215606917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 + 156. Suppose h = 3*a + 15. Suppose -5*v - 4*t + 146 = 0, t + 12 - a = -2*v. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from grrugwgaggyrrwg. What is prob of sequence agyg?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -3. Let c be 2*1\/s*6. Suppose -2*x = 5*o - 15, 7 - 24 = -2*o - c*x. Solve 8 = -3*w - o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*l - 28*j = -67*l + 60, 2*l + 2*j = -6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**2 + 86*f - 1773. Calculate w(-40).\nAnswer: 1187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -293*x**3 - 8*x**2. Let s(z) = -2*z**2. Determine p(t) - 4*s(t).\nAnswer: -293*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 7:08 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4345944 years in months?\nAnswer: 5.2151328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -221?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -11 - (25 - 14) - -9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 23 = t - 5*n, n = 2*t - 13 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3472857 and 83432.\nAnswer: 27782856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11080978753503 minus -0.1?\nAnswer: -11080978753502.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 520875313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 6*h**2 - h - 14. Calculate g(-7).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + 5*5*(2 + sqrt(325)) + -6*((sqrt(325) - -3*sqrt(325)) + 1 + 4))**2.\nAnswer: 200*sqrt(13) + 725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -187\/4 - -47. Suppose 4*n - 2 = -18. Let b be (-2)\/n + 1\/(-2). Is l at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16226 (base 8) in base 14?\nAnswer: 294a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l - 10. Let g(t) = 2*t + 16. Let w(b) = -5*g(b) - 8*h(b). Let x(y) = -9*y. Let s be ((-27)\/(-6) + -3)\/((-4)\/64). Give s*w(z) + 5*x(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, q: 7, v: 1, o: 1, n: 9}. What is prob of picking 3 q and 1 o?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -0.035435?\nAnswer: 0.014174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 26*y**2 - 713*y + 18540. Determine t(27).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -8?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(-4*sqrt(128)).\nAnswer: -sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, t: 1, w: 5, b: 2, d: 4}. What is prob of picking 1 t and 2 w?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -170 in -2, 1\/3, 2.01, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooiiiiiyioyciiohoi. What is prob of picking 1 y and 1 c?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/16 and 21\/3460?\nAnswer: 13840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 41359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 4)*(2 - a**3 - 2) - 12 + 172*a**3 - 169*a**3 - 4.\nAnswer: 2*a**3 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + -1)*(-15)\/(-6). Let r(i) be the second derivative of -i**3\/6 + 2*i**2 - i. Determine r(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 60*z + 2308. Let a be n(-38). Let r(f) be the second derivative of -5\/2*f**2 + 0 + 31\/6*f**3 - a*f. Find the first derivative of r(b) wrt b.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 418*j - 421*j - 3 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-14)\/28)\/(1\/4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2720)\/(-2) - 0\/(24 - 12). Suppose 4*z - 14*z + i = 0. What is the remainder when z is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 5*h - 68 = 3*l + 5, 3*h + 54 = -3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, u: 4, d: 1, f: 7}. What is prob of sequence ff?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*o + 3*o + 81*o.\nAnswer: 165*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 547416*g**5 + g**3 + 69847*g - 3 wrt g.\nAnswer: 10948320*g**3 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, 10, 25, -1 in decreasing order.\nAnswer: 25, 10, 5, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 189.22m in nanometers?\nAnswer: 189220000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 8*h**2 + 9*h + 2. Let g be o(-9). Suppose -10 = -n + g*d, d = 4*n - 2*d - 30. What is the derivative of 0*a - n*a + 2*a - 2 wrt a?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.31 - 0.25. Let q = f + 1.6. Let a = 0.06 + q. What is the nearest to a in -2, 0.4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4020579 is divided by 1967.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + 0 - (13 + (5 - 11) - 2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -23 (b) -0.1 (c) 0.5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28445235 is divided by 2875?\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/((-4600)\/48)*30*165\/22?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38070 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -305*w**4\/24 + w**3\/3 - 5*w**2 - 1. What is the hundreds digit of u(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d253c (base 15) in base 14?\nAnswer: -291688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (1*-21 - -1). Calculate the greatest common divisor of 50 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 10. Let n = -79 - -79.3. Let h = 111.4 + -109.4. Sort -7, h, n, l in descending order.\nAnswer: h, n, l, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 7*n - 12. Suppose -35*b + 12 = -38*b. Let u be p(b). Suppose u = -11*j + 4*j + 1008. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l**2 - 3*l**2 + 2*l**2)*(3*l - 6*l + l) + 8*l**2 + 11*l**3 - 8*l**2 - 2*l**3 + l**3 + 2*l**3 as b*l**3 + o*l + f + t*l**2 and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 13 = -7, -2*k + 4 = -2*f. Suppose 4*i - 2*i - 4 = k. What is the derivative of -17*v**4 - 3*v**2 + 31 - i*v**2 + 5*v**2 wrt v?\nAnswer: -68*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 901 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*f + 3*g - 2*g, 5*g - 5 = -5*f. Let a = f + -1. Sort 0, a, -3.\nAnswer: -3, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35546 equal to -35546?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9821593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u**3 + 13*u - 5*u**3 - 5*u**3)*(2 - 2 + u + (-2*u - 3*u + 2*u)*(-1 + 1 + 1)).\nAnswer: 34*u**4 - 26*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(29*(-60)\/(-7830))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -60078760 to the nearest ten thousand.\nAnswer: -60080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*g - g = 189, 3*h + 3*g - 138 = 0. Calculate the remainder when h is divided by 24\/(-2 + 5) - -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 times -1700?\nAnswer: -57800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -951\/4 - -239. Let o(g) be the second derivative of g + 9\/20*g**5 + 0 + 7\/6*g**3 + s*g**4 + 1\/2*g**2. Factor o(m).\nAnswer: (m + 1)*(3*m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 51050, -2\/15, 4, 0, -5\/4 in increasing order.\nAnswer: -5\/4, -2\/15, 0, 4, 51050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12057)\/(-1))\/(-5 + 6). Let z = -759611\/63 + a. Calculate the common denominator of 9\/49 and z.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70207013 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/15 - ((-306)\/27 - -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005172 to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f + 2*f - 6367 - 6521 + 12503 to the form u*f + h and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2819*g + 2776*g + 913363. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -98.82 - 2.18. Let v = g + 100.8. What is the closest to 4 in -5, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 635 + -370. Is 34 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15, -10, -5, 0, 5?\n\"Answer: 5*d - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1787?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**3 - 1. Let o be q(1). Suppose 2*b + 0*v = o*v + 17, 5*b = -v. Let k(u) = 2*u**2 + 2*u - 1. Let c be k(b). Sort c, 1, -2 in descending order.\nAnswer: c, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2639 is divided by 558?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 7*f. Let o(n) = -6*n. Let u(p) = p**2 + 7*p + 6. Let d be u(-5). Let h be 1\/(33\/(-15) - -2). What is d*a(j) + h*o(j)?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a century in months?\nAnswer: 8880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 561442961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2)**(2\/5)*j**8\/(j*j**(3\/2)))**(-32) assuming j is positive.\nAnswer: j**(-1008\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20232443 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -45*k + 2*k**2 - 34*k - 39*k + k**3 + 3 + 116*k - 4*k**2. Determine w(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a century in years?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 5*d**2 - 5*d - 4. Let h be r(-4). Suppose 0 = 3*b - h*b - 45. Solve 0*o = 3*o - b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 27\/31, -5\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0.2. Let d = h - -0.6. Let f = -40.269 + 27.269. Which is the biggest value? (a) 0.2 (b) d (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92315, -369291, -830947, -1477307, -2308395?\nAnswer: -3324235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) 9\/23 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3 = -4*q + 29, 0 = -3*n + 4*q + 3. Find the second derivative of 1543 - 5*j - 30*j**n - 1543 wrt j.\nAnswer: -600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 6*o**2 - 5)*(10*o - 42 + 42)*(-1 + o + 1) + 6*o**4 - 4*o**4 - o**4 + (2*o - 18*o + 2*o)*(-o**3 + 0*o + 0*o).\nAnswer: 75*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**2\/2 + 1631*t - 2660161\/2 = 0. Calculate t.\nAnswer: 1631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 4:55 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 2 + 6)*(17*s - s - 3*s) + 3 - 3 - 4*s)*(0 + 0 + s)*(0*s + s + s).\nAnswer: 18*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkxb when four letters picked without replacement from {b: 3, k: 4, x: 3, g: 4, n: 2}?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppippippppppppspi. Give prob of picking 1 i and 1 s.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -32*v**2 + 2649*v - 12420. Calculate i(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express z**4 - 4*z**3 + 12*z**3 - z**2 - 6*z**3 - 9 - z**3 as u*z**3 + f + i*z**4 + y*z + l*z**2 and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*f + 5)*(2 + 2 - 3 + (4 + 1 - 2)*(-3 + 2 - 2)).\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 64, -0.5, -38, -2\/9?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -12, -1, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*s**3 - 4*s**3 + 0*s**3 + (0*s**2 + 3*s**2 - s**2)*(541 + 539 - 784)*(-s + 2*s + 0*s) to the form j*s + c + p*s**2 + r*s**3 and give r.\nAnswer: 594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**10\/1890 - h**9\/540 - h**8\/840 + h**7\/630 + 5*h**4\/12 + 8*h. Let y(p) be the third derivative of s(p). Factor y(g).\nAnswer: -4*g**2*(g + 1)**2*(4*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/6*(-12 + -810). Let t = 479 + f. Calculate the remainder when t is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 = -5*k - 3*v, -2*k = -k - 3*v - 46. What is the remainder when k is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 68? (a) 346 (b) -91 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 - -11.3. Let v = 13.6 - x. Let q = v + -2.36. Round q to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4 - 111*y**3 + 5*y - 105*y**3 + 218*y**3 - 6. Let a be s(2). Is a >= 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 11.59273 hours?\nAnswer: 41733828000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*y + 25. Let u = 1 + 6. Let j = -6.7 + u. What is the biggest value in j, 3\/8, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l**2 + 15*l**2 - 574144*l + 574144*l.\nAnswer: 22*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 23032?\nAnswer: -23033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21769 to the power of 1\/2, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -209.8 - -45.8. Let w = -130575992.999919 - -130575829. Let y = z - w. What is y rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 2*o - 4, 0 = w + w - 4*o + 8. Suppose 4*d - 16 = -w*d. Find the third derivative of -22*g**2 - 9*g**d - 7*g**4 + 8*g**2 wrt g.\nAnswer: -384*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 216, 483, 802, 1173, 1596, 2071?\nAnswer: 2598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -41938\/2891 or -16?\nAnswer: -41938\/2891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*-2*-2*sqrt(2736) - (-2 + (sqrt(2736) + -1)*-4)))**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x - 2. Let a be y(4). Let u = 46 + -15. What is the remainder when a*12\/(-8) - -62 is divided by u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 3 (c) -2\/9 (d) -24 (e) 1015684\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*u**2 + 110*u + 146*u + 2*u**3 - 37*u**2 + 53*u**2 + 101*u to g*u**3 + s + d*u + k*u**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 21*h**2 + 2*h - 18. Let j be i(21). Suppose 4*d - j - 20 = 0. Calculate the smallest common multiple of d and (5\/25)\/((-2)\/(-10)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 10. Let q be n(0). Let l be (-6)\/10*q\/(-9). Let x be -2*2*(-3)\/(-42). Put l, 1\/3, x in ascending order.\nAnswer: x, 1\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 4:41 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5901b (base 14) to base 16\nAnswer: 34ee1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105393007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (2 - -1) - (60 - 39 - -81)\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 817468403 a multiple of 652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 3*k + 21, -k + 1 + 27 = 4*g. Let l = 31 - g. List the prime factors of 0 + 16 - l\/(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j - 12*j + 7*j as h*j + x and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + 2 + sqrt(637) + 3))**2.\nAnswer: 1344*sqrt(13) + 10768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/2 (b) 0.2 (c) -826 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17205463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/8 and (-1 - 87\/(-28) - 4) + 2?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, n: 1, u: 4, t: 1, i: 2}. Give prob of sequence ci.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 221 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - -90. Suppose -d - 4*d = -5*s + 290, 0 = -s - 3*d + l. Is s at least 62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -41*f**2 + 4 + 11 + 40*f**2. Let x(h) = -2*h**2 + 26. Let p(v) = 7*b(v) - 3*x(v). Let i(l) = -l**2. Determine p(i(m)).\nAnswer: -m**4 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 13*l**2 + 10*l + 26. Suppose 2*q - 5 = 19. Let x be w(q). Let g(z) = 3*z + 5*z**x - 3*z - 6*z**2. Let s(h) = -2*h**2. Give g(s(j)).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18274, 36499, 54674, 72793, 90850, 108839?\nAnswer: 126754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/55*-2 + (-84)\/22. Let u = -5.4 + 5. Let x = -0.1 + u. What is the third smallest value in j, x, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 315 or 210?\nAnswer: 315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(72) - (sqrt(72)*-2 + sqrt(72) + sqrt(72) + sqrt(72)) - sqrt(72))**2 + -1 + ((-1 + sqrt(2))**2*6 - 3*(sqrt(2) + 0)**2) + -2.\nAnswer: -12*sqrt(2) + 82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + g = -186 + 52, -5*g - 10 = 0. Let u = 75 - 41. Suppose -3*l + l + u = 0. What is the remainder when n is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 3*o + 2117 = 0, -2*o + 1328 - 1 = 5*w. What is the remainder when w is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4 - 6635*m**3 - 113053*m**2 - 206197*m - 99780.\nAnswer: (m - 6652)*(m + 1)**2*(m + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s - 40595 + 40427 = 0 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 98b6?\nAnswer: 98b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttxzxxtttttzxzaxx. What is prob of sequence zx?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 9\/(-5))\/((-434)\/(-3255))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/6)\/(6\/45). Let r(q) = q**3 - 16*q**2 + 31*q + 10. Let b be r(15). Suppose -s*z + b = -130. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -336, -329, -308, -267, -200, -101?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14515451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**0*p)**(-4\/15))**(-2\/5)*(((p*p*p**(-1)*p)\/p)**48)**(-1\/6) assuming p is positive.\nAnswer: p**(-584\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1bb24 (base 15) in base 6?\nAnswer: -1533511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 105 - 58. Let t = 3 + 0. Is (-4)\/(-12) + h\/t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*(64\/(-60))\/(4\/66). Let f = v + 91. Solve -3*o - j - 12 = 0, -4*j = -f*o + j - 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 81*l + 707. Give w(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/209 (b) -10\/13 (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1)*1*12\/(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 20 = -4*k. Suppose -k = 2*m - 4*m. Suppose 2*g = 4, 0 = m*z + 4*g - 0*g - 103. What is the remainder when z is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 837 + -346. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 4) in base 7?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1799 = 8*v - 81. Suppose 7*a - 872 + v = 0. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 39 = -12*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 7*r**2 + 0*r + 1 - 6*r - 8*r**2 + 2 - 4. What is u(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.262 + -0.038. What is the second smallest value in 0.079, y, 5?\nAnswer: 0.079","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2 + l**2 + 6 + 7*l + 8 - 8 - 2*l**2. Give p(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 - 37 = -4*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/9053 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 163307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + s**2 - s + 2. Let t(l) = -11*l**3 - 3*l**2 - l - 6. What is -6*q(i) - 2*t(i)?\nAnswer: 28*i**3 + 8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jlffcbx. What is prob of sequence fxb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 19*u - 6. Give y(-17).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*h + 95 = 5*k, -4*h - 160 = -4*k. Suppose 2*t - k = 5*b, -t - 2*t + 47 = -4*b. Solve 2*f = 5*l + 4*f + t, -l = 4*f - 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/1026944 and 101\/142.\nAnswer: 1026944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319301 is divided by 3062?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -8*j**2 - 61*j + 559. Let l(b) = -5*b**2 - 30*b + 280. Let w(c) = 3*g(c) - 5*l(c). What is w(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2 - 14*y = 0. Calculate y.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7 - 4)*(-16*v + 29*v - 17*v).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1122.6 + 1118.6. Which is the closest to 1\/2? (a) 4 (b) 377 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - l**2 - 13*l - l**2 + 21*l - 9*l as k + b*l**2 + d*l and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -173\/8?\nAnswer: -173\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1609073259 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 1:59 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56\/28*(11145\/6 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 1\/2 (c) 1\/5 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 128*g + 16. Let h be t(-6). Calculate the common denominator of h\/(-168) + (-4)\/(-6) and -13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -989 in ascending order.\nAnswer: -989, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9, z: 9}. What is prob of sequence zuzu?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 150745939613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -25, -4*f = -4*q - 5518 - 3974. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**6\/120 + 7*g**5\/30 - 8*g**2. Find the third derivative of v(x) wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 4*u**2 - 4*u + 3. Let n(p) = 14*p - 3. Let l be n(1). Let k = -9 + l. Give j(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*q**3 + 300*q**3 - 34*q**3.\nAnswer: 346*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*s**3 + 0*s**3 - 11*s**3 - 2*s**3 - 8*s**3.\nAnswer: -36*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5430107604081 + 5430107604081 - 6*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 - 239. Let s be 7\/(-10)*8\/14*-2015. Let t = s - r. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338140813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.261 minus 41341400621?\nAnswer: -41341400601.739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1425 + 18508\/13. Let l(k) = 8*k - 54. Let o be l(7). Let r be (-7)\/(-21)*0\/o. Which is smaller: h or r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3234134 - -33125?\nAnswer: -3201005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2800151.\nAnswer: 1181, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i + 6. Give z(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**2\/5 - 8636*g + 43178\/5 = 0. Calculate g.\nAnswer: 1, 21589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -9. Let m be s + -5 + 8\/6. What is the closest to 1\/4 in 2\/5, 4, m?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3073255 or -3073256?\nAnswer: -3073255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 12, y + 26*x = 25*x - 102 + 101 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/33 in -42, 3, -14, 73, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6004056907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18333\/4 - -165061\/36. Determine a, given that -m*a + 2\/9*a**2 + 8\/3 = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7944c + 5?\nAnswer: -79447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4875 + 2808. Let f = d - -4226. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64374 times 5\nAnswer: -321870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12780880*x - 25561615*x + 12781065*x.\nAnswer: 330*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is b0 (base 14) in base 8?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 3*p**2 - 8*p**2 + 22*p - 1 + 15*p + 3*p**3 - 39*p to the form n*p**2 + j + h*p + k*p**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 11, -134?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 30059065 and 3.\nAnswer: 30059068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -3. Let o = 198 - 174. Let h be ((-5)\/((-150)\/o))\/(12\/(-10)). Which is the second biggest value? (a) 6 (b) h (c) r (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) - (sqrt(77) + sqrt(77)*2 + sqrt(77))*3) + -6*sqrt(77)*1)\/(sqrt(70)\/((sqrt(10) + sqrt(10) + sqrt(60)\/sqrt(6) + sqrt(10))*6 + sqrt(10))))**2.\nAnswer: 1986875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 5*a**2 + 5*a - 2. Let h be p(4). Suppose h*r = 3*r - 2. Let g(j) be the third derivative of j**4\/12 - j**3\/2 + 2*j**2. Give g(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132584181 to the power of 1\/2, to the nearest integer?\nAnswer: 11515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114 divided by 11298.\nAnswer: 19\/1883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 46399, 46555, 46825, 47215, 47731, 48379, 49165?\n\"Answer: w**3 + 51*w**2 - 4*w + 46351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 8) to base 12.\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -0*u + 20. Let s = u + 9. What is the remainder when s is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -2. Suppose 0*z = z - b. Solve -6 = 4*d - z for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - ((1 - 3) + 3)) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 c when four letters picked without replacement from yoccocccy?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4 + 24*w**3 - 36*w**2 + 16*w.\nAnswer: -w*(w - 2)**2*(5*w - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -508 - -786. Let c = -93 + k. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19003966?\nAnswer: 2, 311, 30553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 c, and 1 z when three letters picked without replacement from czcqvvqnqqzyyqqnz.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 12:13 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**7\/105 - 127*q**6\/8 + 23*q**5\/3 - 5*q**3\/6 - 54*q**2 - 15*q. Find the third derivative of s(l) wrt l.\nAnswer: 48*l - 11430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -36*y**3 - 4*y + 3 + 3*y**2 + 1 + 35*y**3. Calculate x(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 665*a = 28465 - 110925 for a.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 4*r**2 - 14*r - 32. Determine a(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i + 2*i + i**2 + 0*i. Let h(d) be the second derivative of d**3\/3 + d. Determine z(h(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1282.596 to the nearest ten.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*o = -23, 27*i - 32*i - o = -26. Let v(n) = n**2 - 5*n + 4. Give v(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110739a (base 16) in base 3?\nAnswer: -1020121010222121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*v - i, 0*v + 4*v - 14 = 2*i. Let r be 2*(-10)\/(-4) - v. Solve 0 = r*w - 7*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-4))\/(6\/(-9) + 1). Let y be (334\/3 + 0)*c. Let q = -208 - y. List the prime factors of q.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 12 = 2*x. Let i be x\/6 - 939227\/(-3). Let h = i + -173075. What is h rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26176\/(-384) + (-66)\/(-1).\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 936994.9 millimeters in meters?\nAnswer: 936.9949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29898210 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 350 divide 17439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1752102576 divided by 3.\nAnswer: -584034192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 145042691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.61 times -7?\nAnswer: -662.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -319 - -319.0321. Round l to 3 dps.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 63*y**2 + 195*y - 3749. Calculate l(65).\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/3)\/((-112)\/24)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 135, 206, 265, 312, 347, 370?\nAnswer: 381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*u**2\/7 + 14998*u + 41996\/7.\nAnswer: -2*(u - 10499)*(5*u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -6*l - 3. Calculate y(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -13959c8?\nAnswer: -13959c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 44154*t + 397483. What is j(9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2739 or -2736?\nAnswer: -2736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4 = 3*i, 0 = 3*y - 4*i + 11. Sort y, 0.1, -0.05, 2 in descending order.\nAnswer: 2, 0.1, -0.05, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1945\/7 + 270. Suppose -61 = u - 16. Find the common denominator of (-4)\/(-10) + 678\/u and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -2\/7 (c) -1\/29 (d) -1 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 - 414*v**2 - 416*v.\nAnswer: 2*v*(v - 208)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 80 in -1, 134\/7, 5?\nAnswer: 134\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 756 divide 183101835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5 + 6*c - c**2 - 5. Suppose 4*l - 10 = 9*l. Let m = 7 + l. What is u(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-5)*d)*d*d**(-4))**(-35) assuming d is positive.\nAnswer: d**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2540, 0, -4.\nAnswer: -4, 0, 2540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1206 - -0.3794. Let z = -0.1 + 0.3. Which is the second smallest value? (a) z (b) q (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6239738 = 4*l + 3*w, 0 = -2958*l + 2960*l - 3*w - 3119860. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + o + 1. Let t(d) = -5*d**2 + 5*d - 9. Let v(k) = -6*a(k) - 2*t(k). Let v(w) = 0. Calculate w.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4431, -5, 94752 in descending order.\nAnswer: 94752, -5, -4431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(-8))\/(-8 - (2 - 9)). Let j(n) be the first derivative of -3\/4*n**4 + 14\/3*n**3 + 0*n**2 - 20 + x*n. What is the third derivative of j(p) wrt p?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167217?\nAnswer: 3, 139, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(54)\/sqrt(3) - sqrt(18))*5 - sqrt(18) - (sqrt(882) + sqrt(882) + 1*sqrt(882)))\/(-6*6*sqrt(36)) + 1).\nAnswer: -5 - 55*sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*b - 32695 + 32695 + 96*b**3 as s*b**3 + n*b**2 + u + t*b and give s.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 2375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/112 + 5\/7\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -396 divided by 44?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 q when two letters picked without replacement from {w: 1, q: 1, u: 6, x: 1, t: 3, o: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40145074020469 + -40145063233668.16999815. Let y = m - 10786750.83. Let d = y - 50. What is d rounded to 7 dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2656995.\nAnswer: 3, 5, 11, 16103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 4, 24 in increasing order.\nAnswer: -20, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-5*((sqrt(13) - (sqrt(13)*4 + -1)) + sqrt(208) + -4)*2)**2.\nAnswer: -5400*sqrt(13) + 19800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*(sqrt(35)\/(1*sqrt(7)*2) + sqrt(5) + sqrt(40)\/sqrt(8) + 3 + -1).\nAnswer: 9 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - x - 1. Let a(m) = -3*m**2 + 3*m + 3. Let r(k) = -k**3 + 4*k**2 + 5. Let z be r(4). Suppose -o = -z*o + 20. Calculate o*j(y) + 2*a(y).\nAnswer: -y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51517 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 4*v - 358. Let j = v - 50. Calculate the remainder when j is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -79391414*g**3 + 2299529*g**2?\nAnswer: -476348484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11010 (base 2) to base 10\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143809, -143777, -143723, -143647, -143549?\nAnswer: -143429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/(0 + 1) + 169\/182 and -45\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -10*w. Let n(f) = -7551 + 5*f + 7551. Give n(s(a)).\nAnswer: -50*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3\/3 - 3560*p**2\/3 + 160586*p\/3 - 611524 = 0. What is p?\nAnswer: 23, 1734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-21)*14\/3)\/((-3596)\/2697)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-187) - 8067\/59158\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - 841aa?\nAnswer: -841b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 2:23 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1019, 1, -3, 444\/35 in ascending order.\nAnswer: -3, 1, 444\/35, 1019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v**2. Suppose 5*w = 4*u + 117, w - 3*u = -0*w + 30. Let d(p) = 20*p**2 - 11 - 10 + w. Determine s(d(c)).\nAnswer: -1600*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - 83. Let w = -90 - n. Solve -s + 13 = -2*r, -w*r - 20 = -r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f. Let v(m) = -13*m**2 + 33. Determine v(t(g)).\nAnswer: -52*g**2 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -18 + 21. Suppose 5*a + 5*z - 115 = 0, -45 = -d*a + 2*z + 34. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 8:42 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2)*-1*0. Let c(j) = 19*j**2 - 2*j - 1. Let r be c(-1). Suppose -o = -4*o + 4*i - 4, 4*o + i - r = q. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111011100100100100 + -10000101?\nAnswer: -111111011100110101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40113 (base 6) to base 16.\nAnswer: 146d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + o = 1281, -2*x - 215 - 303 = o. Let p = -252 - x. Solve -3*r = 4*l + r, -p*l = -2*r + 28 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wewfeiwecirweiiwwiw. Give prob of sequence ric.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 166.9659157382546 + 66831990.0340841117454. Let q = -66832151 + k. Let f = -6 + q. What is f rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13, 39, 65, 91, 117, 143?\n\"Answer: 26*u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - (-2)\/(-8))*-4. Let i(o) = 3*o + 53*o**2 - 7*o**2 - 20*o**2 + 2 + 2 - 27*o**2. Calculate i(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from prrppwr. Give prob of picking 2 r and 1 w.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*8\/(-6)*(-9)\/28?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 + 877446?\nAnswer: 877432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 93518254 rounded to the nearest 1000?\nAnswer: 93518000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -103, -212, -321, -430, -539, -648?\n\"Answer: -109*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1592863?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 5*h + 3. What is the remainder when 9 is divided by h\/(-5) + (-28)\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -2. Suppose -8 = s*h - 3*h. Let f(q) = -q + 9. Is f(h) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 33.2.\nAnswer: -3.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*154\/21 + -13. Let y = -25 - -27.6. What is the biggest value in y, t, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111296 and 429533?\nAnswer: 1739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 12*c - 9. Let n(a) = -a. Let g(b) = -3*n(b) + p(b). Let r(m) be the second derivative of m**3\/6 - 7*m. Determine r(g(v)).\nAnswer: 15*v - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6686, 6689, 6692, 6695, 6698, 6701?\n\"Answer: 3*q + 6683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b0 + -7?\nAnswer: -b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**3 + 5*o**2 + 4*o + 2. Let x(f) = -4*f**3 + 6*f**2 + 5*f + 3. Let c(s) = -16*s + 101. Let h be c(6). Calculate h*n(m) - 4*x(m).\nAnswer: m**3 + m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 1, 60, 0, -217.\nAnswer: -217, -4, 0, 1, 4, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-3) - (-48)\/54. Let j(b) = -b**2 + 6*b - 9. Let d be j(2). Let c be -14 + 4 + 12\/(24\/(-8)). What is the nearest to d in 1, v, c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1034? (a) 4\/3 (b) 0.4 (c) 3\/104 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2098 and 0.4?\nAnswer: -839.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 - 31. Suppose m*r + 4 = 10*r. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/3, -0.1, -0.05, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6208 is divided by 84?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27424*f + 27499*f + 241 - 4 + 213 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) 5 (c) -3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -5*h - 0*x + 3*x, 5*h - 5*x - 135 = 0. Suppose -g = 2*s + 22, 0 = -s - s - 3*g - h. Let t = 18 + s. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15103982*0.03\nAnswer: -453119.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -8*h. Let o(q) = 3*q. Let x(y) = 4*a(y) + 11*o(y). What is the least common multiple of x(2) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14565 + -591870328.\nAnswer: -591855763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -669, -1352, -2045, -2748, -3461, -4184, -4917?\n\"Answer: -5*n**2 - 668*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3501)\/(-12) - 5)\/((-46)\/(-920)). Calculate the greatest common divisor of w and 465.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -0.025262.\nAnswer: -0.425262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 14*l = -12*y + 52, -4*y + 21 = 5*l. Which is bigger: -3\/1331 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, x: 2, r: 1}. What is prob of sequence ru?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/163? (a) 0.5 (b) 3\/2 (c) 5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/7 - 156*i\/7 - 304\/7.\nAnswer: -2*(i + 2)*(i + 76)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*q - d, -2*d - 14 = -1940*q + 1937*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*h + 28 = h, 2*h - 48 = -5*m. Solve j + j = -m for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 4. Suppose -t = -3*t + 3*f + 22, 2*t - 4*f - 26 = 0. Suppose -4 = 2*d - v*x - 25, -2*d + 31 = t*x. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -13) + -2 + -57 + 8 + -1 + 7.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*k = -2*k + 21, 3*l - 1 = k. Suppose -l*m = m - 66. Suppose -c = -m - 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24611 + -2a4?\nAnswer: 24329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.3, -0.07, 526, 8 in ascending order.\nAnswer: -2.3, -0.07, 8, 526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 17 = s. Let m(v) = 30 + 0*v - v + v + s*v. Does 17 divide m(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281085689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r**4 + 9*r**3 - 4. Let t(j) = 3*j**4 + 4*j**3 - 2. Suppose 3*n = 2*n - 12. Let q = n + 3. Let m(h) = q*t(h) + 4*v(h). Differentiate m(l) wrt l.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -v + 4*g, 49*g - 395 = -10*v + 48*g. Let a(n) be the second derivative of -1\/6*n**3 - v*n - 1\/2*n**2 + 0 + 5\/12*n**4. Calculate a(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7704 and 216?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2. Let c(w) = -270*w**2. Calculate c(t(z)).\nAnswer: -270*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/120*(6\/(-20))\/1.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-9 - -881)\/1*(-45)\/(-36) and 436.\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r + 7*r + 9*r + 3*r.\nAnswer: 28*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + u - 2*u + 0)*(0*u**2 + 0*u**2 + u**2).\nAnswer: -u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008710149 to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 312403211 (base 6) to base 16\nAnswer: 531157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-5 + sqrt(1053) - sqrt(1053))*4*-1 + -5)**2 + -2.\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 12 = l - i, 4*i + 14 = 3*l. Let h = 0 - -30. Let f be 97 - (l\/(-3))\/((-5)\/h). Do 102 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 396 and 55.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-7)\/(245\/14)*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3042 and 1235312.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26365 + -2?\nAnswer: 26363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 n when two letters picked without replacement from lvdvvbnv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 108366?\nAnswer: -10836.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-12)*2*21\/(-56). Put 0.08, s, 2\/21 in ascending order.\nAnswer: 0.08, 2\/21, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*f**3 - 21*f**3 - 5 + 4 + (4*f - f - f)*(f**2 + f**2 + 0*f**2) - f**3 + f**3 - 2*f**3 to the form k*f**2 + x + t*f + l*f**3 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**19\/(m**(7\/2)\/m))\/(m\/(m*m\/(m*m**(-3\/4))))**(6\/13) assuming m is positive.\nAnswer: m**(219\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2316 + -2315.95962. Let m = 0.1 - 0.14. Let q = m + d. Round q to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y - 1. Let h be l(-2). Differentiate -3 + 4 - 8*r**h - r**3 with respect to r.\nAnswer: -27*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110100 (base 2) in base 6?\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 - 55. Let i(x) = x**2 - 4*x + 4. Determine i(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 39*c + 1. Let r(y) = 2*y**2. Give i(r(j)).\nAnswer: 78*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26141 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(2304)*-4 + sqrt(2304)))\/(sqrt(80)\/((sqrt(1000) - sqrt(1000)*-3 - sqrt(1000)) + sqrt(10))).\nAnswer: 4464*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/4*200\/3500?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 788 + -121. Let x = -164 + j. List the prime factors of x.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1, 24, 12\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) - ((sqrt(500) + -1)*-6 - sqrt(500)))*4 + 3 + 4 + sqrt(500) + 0 + 2*-3*sqrt(500))**2.\nAnswer: -9180*sqrt(5) + 364789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1563.7074 + 8144027.7074. Let v = a + -8142535.99931. Let d = 72 + v. What is d rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-14)*s\/s**(-4)*s)\/(s**3*s*s*s**(-3)))**(14\/11) assuming s is positive.\nAnswer: s**(-126\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 131194 and 3262?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3 = -b + 5*b, -5*b - 7 = 3*l. Suppose -2*z = -z - 8. Suppose -z = -a - l. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 4*y - y + 26, 0 = 4*y - 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22800 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 12. Let d = -0.25 - 0.05. What is the nearest to -1 in d, 0, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 - 0. Let x = c - 0.9. Let f = -78 + 82. Sort f, x, 0.2 in decreasing order.\nAnswer: f, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 + 600. Suppose 10*j = m + 363. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28\/365 or -1786?\nAnswer: -1786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(56\/8)\/42?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*v**2 + 197*v**2 + 245*v**2 - 610*v**2.\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-24)\/(-15)*-11*(-130)\/572?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*r - 2*b, -4*r - 15 = -7*r + 3*b. Suppose -9 + r = -2*q. Is 10 a factor of (-1)\/(2\/(-18)) + q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = d - 16. Let j = -3 - -6. Suppose 4*o - j*v - v = 16, 4*v + 1 = -o. Solve -w = -o + d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 28117656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59312 (base 11) to base 14.\nAnswer: 23276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 - 2148*s + 384492.\nAnswer: 3*(s - 358)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**4\/7 - 9136*f**3\/7 + 5215212*f**2\/7 + 3298096*f\/7 - 1883212816\/7 = 0. Calculate f.\nAnswer: -19, 19, 1142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2655 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 2*j + 10, -4*p + 2*j - 10 = -7*p. Solve 0 = -3*t - p*t + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1850.4114us to minutes.\nAnswer: 0.00003084019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -52*a + 5586. Let l(o) = -4*o - 5*o + a - 133. Determine l(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + 208*(-4)\/(-8). Let u = -547\/5 + v. What is the nearest to 0.09 in 0.1, u, -2\/17?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -43*n - 1. Give t(-1).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 12 = 2*u. Let m(z) = 8*z**2 - 4 + 3*z**2 - 17 - 15*z + 8. Let r(a) = 5*a**2 - 7*a - 6. Calculate u*m(k) + 13*r(k).\nAnswer: -k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 4:25 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -297 + 299. Let k be (1\/j)\/(12\/12)*0. Solve 2\/7*f**2 + 0*f + k = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g - 432 + 832 - 474 + 0*g to the form p + s*g and give p.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -1. Suppose -4*k - 20 = 0, c*k + 151 + 62 = 2*i. Is i a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 4*a - 3404, -4246 - 261 = -4*u - a. Suppose -17*n = -u - 3530. List the prime factors of n.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -559\/7 + 80. Let h(s) = s**2 - 24. Let n be h(0). Let v = 164\/7 + n. Which is the third biggest value? (a) 1 (b) p (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**2 - 2*i + 5. Is 15 a factor of t(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 5\/16 (c) 4 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j**(-3)*j*j)*j)\/j)**(2\/19)\/(j**(1\/14)*j*j\/(j\/j**12)))**(3\/19))**41 assuming j is positive.\nAnswer: j**(-420783\/5054)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.23 + -0.73. Which is the nearest to 4? (a) -1 (b) i (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2. Let z(k) = 1179710*k - 2661. Let q(u) = -887*u + 2. Let i(w) = 2661*q(w) + 2*z(w). Give v(i(m)).\nAnswer: -786769*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/306)\/(80\/170).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 12:28 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirteen eighths of a day?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 10*x - 20 = -4*u, 4*x - 3*u = -1. What is the fourth biggest value in 2\/17, x, -4\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 5) in base 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(3 - -12)\/(-5). Suppose 2*r + 20 = -4*l, -l - 5 = o*r + 5. Let g be r\/(4 - 66\/15). Put g, 7, 2 in increasing order.\nAnswer: 2, g, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23952 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -177 not equal to 768?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**3 + 18*g**2 + g + 7. Let i be z(-9). Let t(f) = -3*f**3 - 3*f**2 - 3*f - 2. What is the remainder when 56 is divided by t(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -111.5 - -113.4828. Round y to two decimal places.\nAnswer: 1.98","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1668999.\nAnswer: 3, 73, 7621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 284394159 and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y + 10 - 42*y**3 + 53*y**3 - 9 to h*y**2 + t*y + x*y**3 + v and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -530 - -530. Solve n = 4*t - 22 + 14 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/((-120)\/225)*(-35)\/(-25)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 776*q - 561*q + 1479*q + 0 + (5 - 5 - q)*(1 + 3 - 5).\nAnswer: 1695*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z**3 + 22*z**2 + 31*z - 90. Let a be w(3). Solve -12 = -a*n + 72*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5585 is divided by 5527?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -21200212211210 (base 3) in base 2?\nAnswer: -1111100110111101110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -7. Suppose t + 12 = -2*b - 3*b, -75 = -5*t + i*b. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 4*o. Let u(h) = h. Let c(l) = -s(l) - 4*u(l). Let p(g) = -g**3 - 6*g**2 + 2. Give 5*c(t) - p(t).\nAnswer: t**3 + t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -n**2\/2 - n + 2. Let z(t) = t + 2. Let y(o) = -5*k(o) - 4*z(o). Determine y(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/10*(-10)\/(-12). Which is the second smallest value? (a) -50 (b) 1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 6*a**2 + 8*a + 5. Let k be o(-2). Solve k = 21*g - 71 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + (-165)\/(-20))\/(2\/(-4) + 0)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/((-4 - -3) + -2). Solve u*j + 1 = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 99, -1, 237\/76 in decreasing order.\nAnswer: 99, 237\/76, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1965451 or 1965452?\nAnswer: 1965451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6882534?\nAnswer: 2, 3, 382363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1414*y**3 + 53674*y - 53674*y.\nAnswer: -1414*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*z - f + 2, 3*z + 21 = -2*f. Put -1, -2, z, 1 in ascending order.\nAnswer: z, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 37639?\nAnswer: 338751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**2 + 41 + n**2 - 27 to t*n**2 + h + m*n and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2641361 + 136.2642031. Let t = 135 - p. Round t to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -0*s - 4*s. Let o = s - -10. Suppose -o*w + w = 0. Solve -x + 5 = -w*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5002620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((0 + 2*-2*sqrt(208)*-5*-4)*3)**2.\nAnswer: -11980800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -f - 13. Sort 2, -5, f in descending order.\nAnswer: 2, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -6*t - 18. Let h be r(-8). Let u = h - 26. What is the greatest common factor of 28 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 119653 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 610, 1179, 1732, 2269, 2790?\n\"Answer: -8*r**2 + 593*r + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4396)\/(-315) + -15 + 3\/35*7?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1976 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/7, -11, -0.0883.\nAnswer: -11, -1\/7, -0.0883, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/11 (b) 1\/4 (c) -42 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-4)*(-18)\/(-42)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, t: 1, x: 1}. Give prob of picking 1 u and 1 t.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6.788 or -0.25?\nAnswer: -6.788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1660, -3333, -5006, -6679?\n\"Answer: -1673*u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*i**2 + 0*i + 0.\nAnswer: i**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*f + 2*f - f)*(10 + 9 - 4) to k*f + u and give k.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f**2 + 1350*f + 31118. Give i(-24).\nAnswer: -4162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 9:23 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*u - 45*u + 2*l - 23, -4*u = l + 16 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 450972741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 + -31 + 133 + 8?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 12:16 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 523 + -458. Calculate the highest common divisor of q and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 137\/2033 - -195039\/1118150. Let m = -3\/50 + f. Let r be -1*0\/2 - 1. Is r at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -1. Let t(i) = -10*i + 10. Suppose 69*r - 76*r + 7 = 0. Calculate r*t(d) + 10*f(d).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -360*g**2*v**2 + 9*g**2 + 5*g*v + 2*v**2 + 25 wrt v.\nAnswer: -720*g**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/7463 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -24*d**3 + 7*d**2 - 25*d. Let y(k) = 11*k**3 - 3*k**2 + 12*k. Let a(b) = -6*w(b) - 13*y(b). Does 6 divide a(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -4. Let o be (6 - 14)*k\/2. Suppose 231 = 4*m - 0*n - 3*n, -2*n = o*m - 226. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, q: 6, y: 4}. Give prob of sequence qqqy.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Is 341698 bigger than 343833?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 3*k + 31, -2*d + 5*k + 45 = -7*d. Let h be d\/(-5 + (-8)\/(-2)). Let u(o) = -o. Let w(a) = 3*a - 6*a + a. Determine h*u(i) - w(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9416*g + 3376*g + 12194*g.\nAnswer: 24986*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60795 and 193?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 10*p - 24. Let z be a(14). Suppose -5*c + 4*n = -0*n - z, 2*c = -5*n - 7. What is the highest common divisor of c and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5983109479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 7 = 17. Let j be (-1 - 1)\/((-6)\/12). Let z be j\/14 + 48\/28. Sort z, u, -1 in descending order.\nAnswer: u, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8949 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**3\/6 + 19*t**2\/2 + 153*t. Let c be k(-15). Solve c*z - 8 = 0, -9 + 21 = 2*f + z for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 881051 != 881052?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2720 and 272.\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f**3 + 17*f**3 - 103*f**3 + 22*f**3 - 13*f**3.\nAnswer: -90*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**2. Let o(a) = 1663707*a. Calculate o(m(t)).\nAnswer: 4991121*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -243 (base 5) to base 7\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87589 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 1544 = -150. Let f = -1178 + 1582. Let j = n - f. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 34*u + 32. Let h be b(-27). What is the highest common factor of 51 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 11*l**5\/5 - 2*l**4 - l**3\/6 + 389*l**2 + 3009*l. What is the second derivative of o(y) wrt y?\nAnswer: 264*y - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -5*s + 25035, -s + 5*s - 15018 = 3*z. Round z to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31287 = -5*s - n + 11501, -17120 = -2*s + 2*n. List the prime factors of s.\nAnswer: 2, 11, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(((-42)\/9)\/(-7))*6\/(-40).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39 + 5 - 16)*(-122*r - 23 + 23).\nAnswer: -3416*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6688709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63657 by 3.\nAnswer: -21219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2 + 5*n + 17. List the prime factors of j(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63849 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-28)*2)\/((-9648)\/(-185724))?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**5\/10 - a**4\/12 - a**3\/3 - 433*a. What is l(-2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*l - 185*l + 398*l - 208*l.\nAnswer: -205*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ef309 (base 16) to base 3.\nAnswer: -1211202220222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - 4*sqrt(121)*3)*-5)\/(1*(sqrt(11) + sqrt(11) + sqrt(55)\/(sqrt(25)\/sqrt(5)))).\nAnswer: 55*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 5*a + 2. Let k be n(-5). Suppose q = 2*v - 0 - 18, 2*v = -q - k. Let g be 1 + (-38)\/q + 2\/10. What is the smallest value in 3, 2\/3, g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26.363 - 23.363. Sort u, -3, -11, -4.\nAnswer: -11, -4, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -3. Let i(j) = -10*j - 4. Let d(p) = -p - 1. Let t(r) = 8*d(r) - i(r). Let m(q) = -1. Give h*m(v) + t(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4111.7517952 - -8834?\nAnswer: 12945.7517952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36872990.\nAnswer: 2, 5, 7, 11, 6841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*o - 3*p + 64, 206 = 5*o - p. Let g = -38 + o. Solve u - y = -5 + g, y = -3*u + 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**4\/5 + 16*k**3 + 384*k**2\/5 + 704*k\/5 + 448\/5 = 0. What is k?\nAnswer: -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4165757 is divided by 3440.\nAnswer: 3357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2 - 1.8. What is the closest to -0.2 in -1, 1\/3, v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drrr. Give prob of picking 2 r.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 61732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.1, -0.06, 5, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -33, -22, -11?\n\"Answer: 11*r - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m**(-1\/4)\/m)\/m*m*m*m))**49*m**(18\/11)*m*m\/(m**(-16\/5)*m) assuming m is positive.\nAnswer: m**(3979\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b97 + 7?\nAnswer: -3b90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xh when two letters picked without replacement from hhuuhuueuuxe.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 3. Let p be f(0). Let l be ((-12)\/(-12))\/((-2)\/(-110)). Suppose 0 = -56*b + l*b + 6. Solve 0 = -p*w + 15 - b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 759 is divided by 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*q**4 - 898*q**3 + 578906 wrt q?\nAnswer: -48*q**3 - 2694*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*b**2 + 4*b**2 - 6*b**2)*(116 - 116 - 14*b**2)*(8 - 8 - 5*b) + (-1 - 2 + 2)*(-3*b**5 - b**5 + 5*b**5) - 4*b**3 - b**5 + 4*b**3.\nAnswer: -912*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -7, 3\/7, -0.1, 494, -0.2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8000*d**3 - 642*d**2.\nAnswer: 48000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 10, 4\/5, -3\/2, -5, 5, -8\/9, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 75826182 divided by -12637697?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 7:43 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -331 - -338. Suppose -150 = -8*h - g*h. What is the greatest common factor of 50 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14048869799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 20 = -a. Suppose 5*d + a*o = 13790, -3*o - 5504 = -2*d - 7*o. Suppose -4*q + 7680 = -2*f, 4*q + 4*f - 4930 - d = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4 - (-15)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.21 - -1.71. What is the nearest to 2 in -3, -0.4, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 68 (c) -589\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - b - 50 = 0. Let r = -4 + b. Is (-872)\/(-6) - 2\/r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-880)\/(-32)*(-6 - -2). Let m be (0 + (-5)\/3)*3. What is the remainder when 71 is divided by m\/15 - t\/6?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -570562 = 26*s - 570770 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 - p**2 - 20*p**3.\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 0.061843097\nAnswer: 0.185529291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 0 - 37*c**2 + 0 + 36*c**2 - 6*c - 5*c - 7. Give f(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78088, -78089, -78090, -78091, -78092?\nAnswer: -78093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 3 - p**2 - 10 + 4*p + 6 as b*p + r*p**2 + k and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 13*o + 18. Let a be d(12). Is 3\/(-2)*(-8 - 2644\/a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvvwwwvvwvwqq. Give prob of picking 1 w and 1 v.\nAnswer: 25\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 6*c - 5. Let d be g(-4). Suppose 0 = -n - 1 + 3, -5 = h - d*n. Calculate the smallest common multiple of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10566*q**3 + 10782*q**3 - 21120*q**3.\nAnswer: 228*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001484089441 to six dps.\nAnswer: 0.001484","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-24))\/((-4)\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -300\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (0 + 1 + 2) - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 12:32 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 722 is divided by 54?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -231 - -214. Which is the smallest value? (a) f (b) 6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b + b**5 - 6*b + 2*b wrt b?\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 126, 53 in increasing order.\nAnswer: -38, 53, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l + 1. Let r be (-5)\/30 + (-146)\/(-12). Let q(x) be the first derivative of x**2\/2 - 11*x + 2. Let b be q(r). Determine z(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010 + -11222?\nAnswer: -20002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.100016 - 3.1. What is n rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 568583, 568707, 568845, 569003, 569187, 569403, 569657?\n\"Answer: m**3 + m**2 + 114*m + 568467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -162887\/9 + 18065. Is w >= -34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 265.75101 minutes to weeks.\nAnswer: 0.0263641875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*z - 107. Let u = z - 16. Suppose 5*i - 27 - 53 = 0. What is the remainder when i is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiniiidng. Give prob of sequence nd.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k + 42 = -k. Let f be 4\/((-3)\/(-2 + 5)). Sort f, -0.2, k.\nAnswer: f, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*z**2 + 10 + 310*z**2 - 109*z**2.\nAnswer: z**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-90))\/(20\/(-270)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8405 - 8400. Let n = 0.3 + -0.31. Sort y, n, -0.1 in increasing order.\nAnswer: -0.1, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 17, 56, 113, 194, 305, 452?\n\"Answer: m**3 + 3*m**2 + 23*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5863959?\nAnswer: 3, 101, 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/10184 and -71\/17612.\nAnswer: 44840152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 - h**5 - h**5 + (8*h - 4*h + 0*h)*(1 - 5*h**2 + 3*h**2 + 3*h**2)*(6*h**2 - 2*h**2 + 0*h**2).\nAnswer: 15*h**5 + 16*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2671*r - 308 - 157 = -1325*r - 1331*r for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*h, 70*k - 71*k - 4*h + 12 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-15)\/6))\/(32\/40).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32*-0.0781.\nAnswer: -2.4992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(252\/51) + (-75)\/(-100).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 6:01 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 6*i + 297 = 0. Suppose -i = -3*m + 234. Suppose -m - 90 = -3*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6.344 and 8.39.\nAnswer: 2.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**31*x**(9\/5)*(x**1\/x**(-1\/4))**(1\/7) assuming x is positive.\nAnswer: x**(4617\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b*x**4 + 15*b*x**3 + 3*b*x**2 + 13*b*x - 2*x**4 wrt x.\nAnswer: -72*b*x + 90*b - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 533680?\nAnswer: 2, 5, 7, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 - 55. Let l = s - -18.989. Let c = l - 0.01. What is c rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 47523*b. Let u(j) = 16*j**2. Calculate u(l(i)).\nAnswer: 36134968464*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -16, 1\/2, 3, 28.4?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3664, -7281, -10902, -14527, -18156?\nAnswer: -21789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - 1484\/77 - 3\/(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -5\/2*h**3 + 0*h**2 + 5*h + 7. Let o(m) be the first derivative of w(m). Let d(z) = -2*z. What is d(o(q))?\nAnswer: 30*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/2 of a year?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12347961?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31 and 10125?\nAnswer: 313875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10544354570 from 0.05.\nAnswer: -10544354569.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 4. Let q = -1 - a. Let x be 10\/(-1)*-1 + (-52 - -45). Solve u - 3*d - 7 = q, 2 = -x*u + u + 2*d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1524.176 rounded to the nearest 10?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-5))\/((-1)\/(-5)). Solve 3*q - q = -4*w - 14, 2*q = -x*w - 11 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, 2, 3, 1 in increasing order.\nAnswer: -4\/9, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -k**5\/20 - 3*k**4\/4 - 5*k**3\/2 - 7*k**2\/2 + 7*k - 16. Let a(b) be the first derivative of p(b). Factor a(i).\nAnswer: -(i + 1)**2*(i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 57*y**2 + 52*y - 226. Calculate i(-56).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (k + 8*k - k + (0*k + 0*k - 2*k)*(2 + 0 - 4))*(3*k**3 - k**3 + 3*k - k) in the form d*k**3 + m*k + j + b*k**2 + w*k**4 and give w.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 141374268?\nAnswer: 1\/47124756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251057 - 1632*w + 251057 + 4*w**2 = 0. Calculate w.\nAnswer: 0, 408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 814 a factor of 66535546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 344 = -2*j, -l + 2*l - l = -l + 5*j + 48 for l.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98 + -26. Let y be (b\/(-10))\/((-42)\/(-7600)). Let d = y - -1305. Find the common denominator of d and -44\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from idiidiiiddqq. Give prob of picking 1 q and 3 i.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014388 rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 592*w**3 - 368*w**2 wrt w?\nAnswer: 3552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-6)*(1 - 19). Let h be (-27)\/(-12)*(-4)\/r. Sort 5, 3, h in ascending order.\nAnswer: h, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -7. Let g = b - -2.94. What is g rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60637 + -6536. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - q**2 + 6*q - 14. Calculate k(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.678115 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000981606 to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away -4603095.8?\nAnswer: 4603096.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -11*j**2 - 67*j - 76. Let x be h(-3). Solve 28*i - 4 = x*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4 = 0, 2*w - 51 = 4*d + 41. What is the remainder when 453 is divided by w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 1. Let k(j) = -3*j**2 - 4. Suppose 5 = u + 3*f, -4*u - 8 = f + 5. Give u*i(t) - k(t).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -2) + -220*16\/(-360).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45194?\nAnswer: 2, 59, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -474501, -474500, -474499?\nAnswer: -474498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166619 is divided by 130.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.018 + -1.018. Let m be (2\/5)\/(1 - 3). What is the nearest to 1\/2 in v, -4\/5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 13. Suppose d + 7 = 8*d. Let x(y) = -3*y + d + 4*y + 1 - 3. Determine x(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + 1. Let t = o - 7. Let i be 3\/t - 1\/2. Solve 4*y + 0*y = i for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -111 - -293\/2. Suppose 236 = -13*n + 2. Calculate the common denominator of s and n\/72 + 41\/26.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/12*7*(-2340)\/(-25389)\nAnswer: 10\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3742282 smaller than 3742282?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18601 - -18597. Let v(o) = 14*o**2 + 176*o - 11. Let j(b) = -5*b**2 - 59*b + 4. Determine p*v(m) - 11*j(m).\nAnswer: -m**2 - 55*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9525983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**3 + 20*c**2 + 28*c + 16. Let f(g) = 2*g**3 + 13*g**2 + 18*g + 11. Let b(s) = 8*f(s) - 5*n(s). What is b(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(300) - sqrt(75)*1 - sqrt(12)\/(sqrt(64)*6)) + (-2*(sqrt(12) - sqrt(192)) - (1*sqrt(2904) + sqrt(24))\/sqrt(8)).\nAnswer: 119*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b - 2. Let q(j) = -j**3 + 10*j**2 - 8*j - 5. Let i be (-7 - 2)*1\/(-1). Let h be q(i). Let r(a) = -a + 1. What is h*r(p) + c(p)?\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -21. What is the lowest common multiple of 1 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (3 + (sqrt(2) - (sqrt(2) + -2*sqrt(2))))) + sqrt(16)\/(sqrt(8)*-2) + 5)**2 - 1*(sqrt(648) + 2).\nAnswer: -24*sqrt(2) + 13\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18193 (base 11) to base 12.\nAnswer: -12920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -799 - -810. Suppose 23*h = -f*h + 102. Factor -2\/7*c**h + 10\/7*c + 2\/7*c**2 + 6\/7.\nAnswer: -2*(c - 3)*(c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -12\/7 (b) -2 (c) 0.1 (d) -3 (e) 1\/7 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 c when three letters picked without replacement from pcppmpmmpm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**2 + 21*b**2 - 18*b**2 - 2*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-158 - -134) + (7 - 50 - -12)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2*j**3 - 6)*((-4*j + j + 4*j)*(2*j - j + 2*j) - 2*j**2 + 4*j - 4*j - 2*j**2 + 0*j**2 + 0*j**2).\nAnswer: 2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3195.824 nanometers to kilometers.\nAnswer: 0.000000003195824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 9*i - 14*i - 50, 5*q + 5*i = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48081992 divided by 7.\nAnswer: 6868856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -549455, -4395491, -14834735, -35163791, -68679263, -118677755, -188455871, -281310215?\n\"Answer: -549434*y**3 + 2*y - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*c = -84*c + 706 - 154 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.9 - -0.1. Let k = 1434 + -1433. Which is the nearest to k? (a) -0.2 (b) -1\/3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -72*m - 161. What are the prime factors of o(-5)?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -4. Let s = 0 - h. Let p be 100\/45 - 2 - (-4)\/(-18). Which is the closest to p? (a) -5 (b) s (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -0*d - 80. Suppose -6*t + 2*t = d. Let l(v) = v**3 + 8*v**2 - 10*v - 7. Let r be l(-9). Put r, t, 5 in increasing order.\nAnswer: t, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 - 46 = -19*w. Suppose 0 = -3*s - u + 734, -w*s - 588 + 1810 = u. What is the remainder when s is divided by 84?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57 + 27. Let k = n + 29.75. Let z = 0.4 - k. Round z to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 37\/5 of a centimeter?\nAnswer: 74000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4416*o + 431*o + 903956 = -1566*o + 378090 for o.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-24)\/26 - -1)\/(24\/(-48)). Let j = -2.5 + 2. Put j, -0.6, k in increasing order.\nAnswer: -0.6, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**2 + 232*a - 456 = 0.\nAnswer: 2, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpj when three letters picked without replacement from aaapsajjjasaaja?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 14*u**2 - 17*u + 19. Suppose -41 = -4*g + 3*r + 13, -g - 2*r + 19 = 0. What is w(g)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61598*f*s**3 + 160*f*s - f - 10*s**2 wrt s.\nAnswer: 369588*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*j - 27*j - 19*j = -121. Sort -0.06, 1, j, -4, 1\/6 in decreasing order.\nAnswer: j, 1, 1\/6, -0.06, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 36*h - 319. Give p(36).\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/2)\/((-4)\/10*30*38\/(-304))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1200871 by -7.\nAnswer: 171553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4370656 and 803?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 55*x**2 - 13. Let c(j) = -25*j**2 + 6. Let f(z) = 6*a(z) + 13*c(z). Let i(k) = 239*k. What is i(f(r))?\nAnswer: 1195*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3269016 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - (-7 + 4 - 248). Let u = -106 + b. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 3 (c) -0.04 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 14 = -144. Let s = 912\/7 + y. Let i = -6 - -7. Put i, s, -3 in decreasing order.\nAnswer: i, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 - 9*t**2 + 3*t**2 - 58*t**3 + 10*t**4 - 5*t**2 + 0*t**2.\nAnswer: 2*t**2*(t - 6)*(5*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 172493*g**2 + 9*g*x**3 - 28*g*x + 477*x**3 + 6*x**2 + 5*x - 56 wrt g?\nAnswer: 344986*g + 9*x**3 - 28*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 5*m + 2. Let x be h(-5). Suppose 0 = 3*b - 2*c + x, -b + c = -3*c + 14. Solve -5*r - 9 = 3*u, r - u - 1 = b*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -339 + 189. Let t = 151 + s. Solve 9 = -5*v + 3*j, 0 = -3*v - 0*v + 4*j - t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - y**2 + y**2)*(-71*y + 21*y - 52*y) - 2*y**2 + y**3 + 2*y**2.\nAnswer: 205*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -161 - -275. Let b = -102 + d. Let m be (-5 - (-68)\/b)\/(-4). Sort -4, m, -2\/13, 11 in decreasing order.\nAnswer: 11, -2\/13, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 9*k**2 + 10. Let p(t) = 6*t**2 + 3*t + 3. Let f(h) = -11*h**2 - 5*h - 6. Let n(u) = -3*f(u) - 5*p(u). Calculate 7*n(g) - 2*q(g).\nAnswer: 3*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -101380 (base 9) in base 10?\nAnswer: -60093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93992?\nAnswer: 2, 31, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1358)\/4*104\/182. What is the units digit of (n\/(-10))\/((-7)\/(-70))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + g + 47. Let h be v(0). Let m = h - 24. Is 23 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 224\/(-28) + 63*22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 (base 8) in base 10?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 0.52?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -10*i - 21. Let t(o) = o**3 + 13*o**2 + o + 9. Let q be t(-13). What is the tens digit of (q - i) + (17 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4974*v - 15551*v - 9716*v + 7356*v.\nAnswer: -22885*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 11*h**3\/3 - 7. Let p(w) = 2*w. What is p(d(m))?\nAnswer: 22*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73336 - 5605. Is 211 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1412, 4043, 13142, 25891, 42296, 62363, 86098?\n\"Answer: c**3 + 1816*c**2 - 3229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1390 - 1614 = 266*g - 344 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/((sqrt(140)\/sqrt(5))\/sqrt(4)) - (4 + -5 + -2*sqrt(5)).\nAnswer: 1 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -3*v + 376567, -141*b + 146*b - 627620 = -5*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from {i: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 137623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 1. Suppose -2*m = -x*m + 21. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 0.03\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 2, 0.4, -3\/4, 4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17950 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a micrometer in nanometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5381*j - 2643*j - 2697*j - 697 = 0 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*o - 167*o + 97 - 183 - 202*o + 86.\nAnswer: -296*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1728 divided by 18\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125923, 125946, 125993, 126070, 126183, 126338, 126541, 126798?\nAnswer: 127115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1053 and 6?\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60\/989 - -3\/43. Is y equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -7 - 3. Let z be (-248)\/(-8) - (p + -1). Suppose 16 = 4*c, 2*t = t + 2*c + 32. What is the highest common divisor of z and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 11*l + l + 0*l + 3. Let x(q) = -11*q - 4. Suppose -15 = -39*p + 42*p. Let j(d) = p*m(d) - 6*x(d). What is the derivative of j(n) wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 39 = -0*f - 3*u, u + 69 = 5*f. Suppose -26 = -q - 5*n, f = 5*q - 4*q + 2*n. Find the second derivative of -o**5 - 2*o + q - 6 wrt o.\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 144*g**2*m**2*n**3 + 18*g**2 - 48*g*m*n**3 wrt m?\nAnswer: 288*g**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7287 + -6673?\nAnswer: -1193a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78261\/4 + 19566. Let h = 0.2 + 0.3. What is the nearest to -0.3 in d, h, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-21)\/(-210) + (-3002)\/(-280). Let m be ((-2341)\/(-60))\/((-7)\/(-3)). Let o = m - n. Calculate the common denominator of 9\/8 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b - -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70.23 - -72. Let y = 0.27 - g. What is y rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -x**6\/60 - x**4\/4 + 2*x**3\/3 - 1. Let i(f) be the third derivative of c(f). Differentiate i(y) wrt y.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 6 - (11 + -11)) + -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -5. Find the second derivative of -2*b**3 - y*b**3 + 4*b**3 - 2*b wrt b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 7*c = 592. Let z = c + 105. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13851 to two decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -u**4\/9 - 8*u**3\/27 + 2*u**2\/9 + 8*u\/9 + 23. Factor k(m).\nAnswer: -4*(m - 1)*(m + 1)*(m + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/3*9\/6. Suppose c = -5*o + 5445, t*c - 4335 = -4*o - 3*c. What is o rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06033569 rounded to three dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20191\/53 - 381. What is the third smallest value in 2\/5, -5, -7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34420 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (-48)\/(-26) - (-56)\/26. Find the third derivative of 35*m**2 - 28*m**2 + 4*m**5 - 43*m**n + 40*m**5 wrt m.\nAnswer: 2640*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 1. Let u(s) = -2*s - 2. Let n(l) = -u(l) - 3*z(l). Let k be n(-1). Is (2 - 1)\/(k\/(-24)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 4*g**4\/7 - 128*g**3\/7 + 188*g**2\/7 + 8672*g\/7 + 22464\/7 = 0.\nAnswer: -4, 13, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 14*j - 2*j + j**3 - 8*j + 5 + 5*j**2. List the prime factors of x(5).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26668 + -25093. What is the lowest common multiple of x and 252?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 822252271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 10*n - 9. What is z(10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 12*w + 1. Let f be x(6). Suppose 2*s + 63 + f = 0. Let d = s - -102. List the prime factors of d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7023\/28124 - -2\/7031. Let p = -37.92 - -38. What is the biggest value in p, i, 0.5, 2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19.38873 litres?\nAnswer: 19388.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6*h = -5*h, 0 = 4*n - 3*h + 3. Suppose c = 11 + 3. Let i = c - 9. Sort n, i, 1 in ascending order.\nAnswer: n, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35874 and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/740 and 87\/270974828?\nAnswer: 1354874140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(-72)*(4\/60)\/(5\/420)?\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36340, 72681, 109024, 145369, 181716, 218065, 254416?\nAnswer: 290769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - y + 3, -2*y = -4*h - 18 + 24 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s - 7*s + 6*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n\/(n*n*n\/(n*n**4*n))*n)*n*n)\/n)\/n**1)\/(n*n**0\/n)**(-15) assuming n is positive.\nAnswer: n**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7 - -8) + 2\/(-3) + 16808496\/36 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -796*w = -737*w + 167 - 521 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100101000111000111110 (base 2) to base 9.\nAnswer: -15112336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 83?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 + 1129*v + 435*v - 1531*v.\nAnswer: 4*v**2 + 33*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**2*r**2 + 305*l**2*r*y**3 - 2*l**2*y**3 - 11*l*r**2*y**3 - 2*l*r*y**2 - 71*r**2*y**2 - 2*y**2 wrt l?\nAnswer: -4*r**2 + 610*r*y**3 - 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 8*o + 27. Let r be (8\/(-28))\/(o\/7)*18. What is the highest common factor of r and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c - 6. Let o be k(-4). Is o*((-282)\/(-4))\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 662624637 is divided by 4556.\nAnswer: 4553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -123, -121, -117, -111, -103?\n\"Answer: m**2 - m - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*h - 5 - 3 = 0, 5*a - 15 = -5*h. Solve -6*y + a*y = -5*s, -4*y + 2*s = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -116 + b3?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4217227.\nAnswer: 7, 602461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-1)\/(-4) - 36\/(-240)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*n + 94 = 0, 4*n - 39 = -3*d - 0*n. Let z(k) = k**2 + 2*k - 41. What is the hundreds digit of z(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n - 3. What is the least common multiple of i(12) and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**2 - 78*n - 3591. Let k be y(-24). Let l(p) be the first derivative of -2*p**2 + 1. Let c(r) = -17*r + 1. Give k*l(m) - 2*c(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 214.2618 minutes?\nAnswer: 3.57103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -272 bigger than -4\/173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d**2 + 4. Calculate the common denominator of u(-3) and ((-47)\/(-3))\/(64\/(-24)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 2 - 2 + (2 - q - 2)*(2 - 4 + 3) - 3*q - 2*q + 0*q - 2*q - 5*q + 5*q)*(-126*q**3 - 53*q**3 + 41*q**3) + 0*q**4 + q**4 + 0*q**4.\nAnswer: 1381*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 11095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -5*n**5 - 1305*n**4 - 56020*n**3 - 182960*n**2 + 897600*n + 3261440 = 0.\nAnswer: -208, -49, -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*q + 14*q + 2*q**2 - 9 + 12*q - 35*q to z*q + y*q**2 + t and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*h - 44*h - 77 - 71 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**3 - 7*t**2 + 6*t + 12. Let k be y(5). What is the derivative of -92 + k*c**2 - 45*c**2 - 12 wrt c?\nAnswer: 144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 462090244?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292554233?\nAnswer: 29, 10088077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by 4\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 4 = -12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.91 - 4.4. Let z = w + -0.01. Let a be (25\/15)\/((-1)\/3). What is the smallest value in z, 0.05, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b. Let r(o) = 4*o + 46. Let a be r(-11). Let k be 6 + 0\/((-6)\/(-2)). Let c(v) = -44*v - k*v**a + 44*v - 8*v**2. What is c(p(x))?\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -174, -195, -250, -357, -534?\nAnswer: -799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**3 + 2*m**2 - 70*m + 2500. What is a(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-198))\/((-261)\/(-1044))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6836 and 1892.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**3 - 15*g**2 - 6*g + 26. Let n(d) = 2*d**3 + 12*d**2 + 5*d - 25. What is -4*j(k) - 5*n(k)?\nAnswer: 2*k**3 - k + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -36 + 4*q**3 + 39 + q**3 - q**3 + 2*q**2. Let r(z) = -3*z**3 - 3*z**2 - 4. What is -3*g(y) - 2*r(y)?\nAnswer: -6*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/4)\/5*1488\/93?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22631474 (base 8) to base 14.\nAnswer: -924068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25.73 - 0.27. Let u = -61 - z. Let j = 34.41 + u. Round j to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 320\/7 - 46. Which is the second biggest value? (a) l (b) 0.11 (c) -2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (-2 + -2 - (-4014)\/(-9)). Let o = m + 456. Solve 2*u + o = 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = 53*p - 290. Calculate the lowest common multiple of p and 646.\nAnswer: 2584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -111505421 - -2?\nAnswer: -111505416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 40*n**3 + 3*n**2 - 4*n - 4. Let c be q(-2). Let u = -176 + 275. Let m = u + c. Round m to the nearest ten.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*b - 4 + 12*b + 0*b + 11*b - 187*b**3 + 17*b.\nAnswer: -187*b**3 + b - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 430230.\nAnswer: 2, 3, 5, 14341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**3 - 2*b**4 - 4*b**4 + 3*b**4 + 2*b - 2*b**3 to y*b + s*b**4 + r + c*b**2 + x*b**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21.73 + -22. Let p = -8 + 11. Which is the third smallest value? (a) 2\/11 (b) v (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brmrrrbb. Give prob of sequence bb.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -8*z**2 + 43. Let r(w) = 17*w**2 - 85. Let q(s) = 5*l(s) + 3*r(s). Let i(p) be the first derivative of q(p). Let b(j) = 2*j. Determine b(i(a)).\nAnswer: 44*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2531, 4226, 5921, 7616, 9311, 11006?\n\"Answer: 1695*f + 836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-15)*(-200)\/(-48).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -200, -450, -800?\nAnswer: -1250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(171) + 5 + (sqrt(171) - ((sqrt(171) + 3*sqrt(171) + sqrt(171) + -2)**2 - sqrt(171))) + 5.\nAnswer: -4269 + 63*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 11*n = 8*n + 24, 2*n - 30 = -4*l. Solve 9*b = l*b - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/6 + 22\/6. Let y be t\/(-10) - 22\/(-5). Suppose y*n + 2*z - 16 = 2, -3*z + 15 = 2*n. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -22 (b) 131\/4 (c) -3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3340 is divided by 3308?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 3\/(-2 + (-2247)\/(-1029)).\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 1) + 18 + (31 - 41).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -121111220000?\nAnswer: -121111220011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(36)\/sqrt(3))\/(sqrt(6) + sqrt(72)\/(sqrt(36)\/sqrt(3)) + sqrt(6)) - ((sqrt(18))**2*6 + -4 + -4).\nAnswer: -100 - 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 35*v**2 - 7. Let n(x) = 18*x**2 - 4. What is -7*n(w) + 4*q(w)?\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-452)\/(-138))\/((-136)\/204) - -5 - (-544)\/(-2024)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwhw when four letters picked without replacement from {f: 5, h: 2, m: 1, p: 5, w: 3}.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24361.37 litres to millilitres.\nAnswer: 24361370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 30651*l**3 - 31146*l**3 + 2.\nAnswer: -495*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 3, 0 = 16*k - 21*k + 5*u + 15 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.407, -5 in descending order.\nAnswer: 0.407, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 + 1. Let y = -36.9914 - i. Round y to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26848.569 months to decades.\nAnswer: 223.738075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n + 149 = 2*q + 14*n, -3*n - 3 = 0. What is the remainder when 212 is divided by q?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2 - 35*t + 11. Let n be q(-18). Let m(l) be the third derivative of -l**6\/60 - 3*l**5\/20 + 5*l**4\/12 + 2*l**3\/3 + 2*l**2. Is m(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = n - 11, 7 = -2*v + 13. Suppose -n*t + 12*t + 7045 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47291712 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 8. Let j = 46 + -43. Let b = -4 - -2. Put p, j, b in descending order.\nAnswer: j, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18786 - -3?\nAnswer: -18783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u**3 - u**2 + 2*u - 1. Let r be a(1). Suppose 0 = 8*x - 11*x + 2*x. Solve -5*b - q - 26 = x, -5*b - 10 = -r*q + 11 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 310 - 307. Solve -16 = -4*f, v*f - 20 = -x - 2*f for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 646434?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20313333 - 2?\nAnswer: 20313331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 831.8106 nanograms in grams?\nAnswer: 0.0000008318106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -1. Let j(s) = s**2 - s - 2. Let z(r) = j(r) - 3*o(r). Suppose t + 6 = 3*t. Let q(b) = -2*b**2 + 5*b - 3. Determine t*z(g) + q(g).\nAnswer: g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18\/11 in -1\/8, 3, -3\/17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 120 + -357?\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2028861?\nAnswer: 3, 163, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 29 = 2*q - 2, 14 = 2*b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/5 - 2828*j\/5 + 5648\/5.\nAnswer: 2*(j - 1412)*(j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 0.2. Let x = 0.1 - 0.4. Which is the third biggest value? (a) -0.4 (b) x (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198826\/(-1513) + 132 + (-1231)\/(-17)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1575500 rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1684?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-36)\/8 - -4)*-2. Solve -k + 2 = g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7939489*f**2 - 14565054 wrt f?\nAnswer: -15878978*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18423862 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 4*j**4 - 185*j**3\/3 - 118*j**2. Is 34 a factor of s(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -8) + (2 - -4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4055, -4053, -4051, -4049, -4047?\nAnswer: -4045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 134824815 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: Product of 0.02 and 11.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 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: Which is the biggest value? (a) 91 (b) -24.8 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*d - 4*d + 3*d + 11*d.\nAnswer: 35*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (195\/(-6))\/(-5)*10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*k - 27 + 19 + 96*k + 8.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 6*q. Let t be g(-4). Let b be (t\/6)\/(4\/(-6)). Solve 0 = -u - u - b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -130, -256, -378, -496, -610?\n\"Answer: 2*m**2 - 132*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/14 + (-11)\/2. What is the smallest common multiple of 8 and t\/3*60\/(-8)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (-2)\/(-4))*(-37100)\/(-2226)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 73 = 3*m. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 7) to base 4\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*c - 28406011506 + 160*c + 28406011506.\nAnswer: 122*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/10)\/(-1*34\/(-1360)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 4*k - 2. Let b be i(3). Let g be 2\/4*4\/b. Solve -4*h = -2*w - w + 1, -g*h = 8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 257315699 and 596?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3755, 308, -3139?\nAnswer: -6586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*i + 155*i + 157*i = -6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1796475 divided by 21135.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (134*t + 287 + 278 + 280 - 848)*(5 - 5 + 2).\nAnswer: 268*t - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 976 is divided by ((9\/(-14))\/((-66)\/12551))\/(24\/32).\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**2\/9 - 142*r\/9 - 728\/3 = 0. Calculate r.\nAnswer: -13, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -4\/3, 13, 2\/11, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 212*o**2. Let q(n) = -218960*n**2. What is k(q(l))?\nAnswer: 10164018099200*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12191 - 6*h - 12191.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x + 19. Give l(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -226 + -974.63945355?\nAnswer: -1200.63945355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -47? (a) 2 (b) -0.092 (c) -3 (d) 0 (e) -248\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = -5*y - 4*t, -3*y - 4*t + 18 = -2*y. Calculate the common denominator of y\/104*(-88)\/36 and ((-462)\/2376)\/((2\/1)\/(-30)).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**6\/120 + x**5\/80 + x**4\/48 - x**3\/24 - 2*x - 3. Let s(f) be the first derivative of d(f). Factor s(a).\nAnswer: -a*(a - 1)**2*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -60110.67 to the nearest ten.\nAnswer: -60110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -48 + 6c62?\nAnswer: 6c19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.5973 - 1.6173. Let a be (-23)\/(-51) + (-2)\/6. Put -5\/4, t, 3, a in descending order.\nAnswer: 3, a, t, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 67*u**2 - 809*u - 364. Determine q(51).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -bacb + -1b1?\nAnswer: -bcac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(-2 + 0 + 1)*(6*q - 2 + 1 + 2).\nAnswer: -6*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 o when two letters picked without replacement from gknnork?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -0.4, -0.02, 190?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s + 63 + 33 = 0. Let r(i) = -i**2 - 14*i + 2. What is the tens digit of r(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.287139l?\nAnswer: 1287.139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -11*g**4 - 15*g**3 - 9*g**2 - 38*g + 2. Let z(y) = -5*y**4 - 8*y**3 - 7*y**2 - 19*y. Let b(h) = 3*s(h) - 7*z(h). Factor b(m).\nAnswer: (m + 1)**2*(m + 2)*(2*m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 367, 1403, 3129, 5545, 8651, 12447?\nAnswer: 16933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2500 a factor of 2520500265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 135 + -199. Suppose 5*q + 128 = p, 7*p + 3*q - 489 = 3*p. Let b = v + p. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*u**3 + 168*u**3 - 6*u**2 + 2*u**2 + 3*u**2 to c*u**2 + y + d*u + b*u**3 and give b.\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8228376 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -1. Let m = -131 + -415. Let q be (63\/m)\/(6\/8). Which is the nearest to u? (a) -5 (b) 3\/2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 greater than or equal to 76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21840)\/(-6240)*(-384)\/21.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 - (1 - (55 + -75)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 977665 and 55.\nAnswer: 10754315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19970973 a multiple of 1718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/(m\/(m\/((m**(-6\/7)*m)\/m*m*m))*m)))\/m**11)\/(m*((m*m*m\/m**(1\/2)*m)\/m)\/m)**(13\/2) assuming m is positive.\nAnswer: m**(-675\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.3 in -2, 3\/7, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 27*z - 5*z**2 - 10*z - 17*z to n*z**2 + a + f*z and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -438, -424, -386, -312, -190?\n\"Answer: 2*v**3 - 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 35. Let n(p) be the first derivative of 7\/16*p**4 - 1 + 1\/4*p**5 - 7\/8*p**k - 1\/4*p**3 - 1\/2*p. Let n(b) = 0. Calculate b.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/(-24))\/(6\/(-16)). What is the second derivative of x**2 - 21*x**2 + 6*x - 19*x**2 + r*x wrt x?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/120 in 3\/5, -2\/3, 1\/3, 0.7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 467 = 4*k - 637. Suppose k = p - 617. What are the prime factors of p?\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 28 = -2*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*b + 147*b + 296 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 divided by -1?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.49 - 5039975.\nAnswer: -5039958.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5902 + -5906. What is the nearest to -3 in 5, q, -1, 4\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 3*s**2 - s + 17. Give z(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 66*t**2 + 55*t - 799. Let s be n(-67). Factor 1\/2*p**s - 11\/2*p**3 + 0*p**4 - 4*p + 0 - 9*p**2.\nAnswer: p*(p - 4)*(p + 1)**2*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 124 = -x + 4*x, 0 = 2*x + 5*q - 121. Suppose 2*d - 16 = 48. Calculate the greatest common factor of d and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4993, 9994, 15011, 20044, 25093, 30158?\n\"Answer: 8*b**2 + 4977*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104976 and 1440261?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2319*u + 4738. Let v be w(-2). Calculate the highest common factor of 32 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4 + (3 + sqrt(1584)*1*4 + 3 + 1 + sqrt(1584) + sqrt(1584) + 6*-2*sqrt(1584))**2.\nAnswer: -1008*sqrt(11) + 57082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 185 - 165 = 0, 5*s + 3*b - 1137 = 0. Calculate the remainder when 861 is divided by s.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/(-1785))\/(17\/(-1190)*-30).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10167118*o**2 + 9440737*o.\nAnswer: 20334236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v + 4. Let q(z) = -1. Let a(p) = -i(p) - 4*q(p). Let x(k) = 10*k**2. Determine a(x(o)).\nAnswer: 20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1)*u)**(-40)*((u\/(u*u**(-1\/3))*u)\/u)**(2\/17))**(-43) assuming u is positive.\nAnswer: u**(263074\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 3) + 2*-11. Let u = a + 23. Suppose u = 3*n + 2*n - 10. Sort 9, 1, n.\nAnswer: 1, n, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 2 - -4 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 387, 3139, 10617, 25185, 49207?\nAnswer: 85047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**3\/3 - 37*q**2\/2 - 405*q. Determine i(-13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85917.28 kilometers in meters?\nAnswer: 85917280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2086*k**5 - 3010*k**2?\nAnswer: -125160*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -1 (c) 2\/185 (d) 1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*a**3*b - 7*a**3 - 17*a**2*b - 2*a**2 - 3*a*b - 169*a + b wrt a.\nAnswer: -30*a*b - 42*a - 34*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 3*h + 1, 3*h + 8 - 3 = d. What is the second smallest value in d, -3\/5, 0.3, 10\/7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6951172 months in millennia?\nAnswer: 0.0002245931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3110505 (base 6) in base 12?\nAnswer: 72435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 826573153093.\nAnswer: -826573153091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = n + 6. Suppose -5*g + n + 42 = 0. Is 22 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 105537629 to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21555?\nAnswer: 3, 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 746*o + 10369 + 14249 for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 247450\/375 - (-4)\/30*1. Suppose 12*b = -3*b + d. Calculate the lowest common multiple of b and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 20*c - 24*c - 12, 0 = c - 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 77.823 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nz when two letters picked without replacement from nodbkzo?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - s - 2. Let l be m(2). What is the units digit of -3 - l - (-182)\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -37*r**5\/60 - 27*r**2. Let q(h) = 2*h**2. What is q(i(y))?\nAnswer: 2738*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -28603 > -28603?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*c - 28 = -2, 0 = -3*v + c + 23. Calculate the smallest common multiple of 21 and v.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -16*y + 99. Let j be a(6). Solve -z - j = -7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p**3 - p + 2. Let b(s) be the first derivative of 4*s**4 - s**3\/3 - 2*s**2 + 9*s - 169. Let w(l) = 2*b(l) - 9*m(l). Calculate w(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 1215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**4\/12 + 15*v**2. Suppose 10*l = 7*l + 81. Let z(h) = 4*h**2 + 27*h - l*h. Calculate n(z(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*d - 11. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9567000 to the nearest 100000.\nAnswer: 9600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 110 or 1975\/18?\nAnswer: 1975\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 324550994 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3 - 5*f**2 + 3 + f - 6 + 5. Let i be q(1). Let z = i + 6. Round z to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-42 - -52 - ((3 - -3) + 1)) + (-73 - 2)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 263606450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -101230322?\nAnswer: -101230312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34274664 by -4374.\nAnswer: 7836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7153010.\nAnswer: 2, 5, 715301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 + 327 = 5*t. Suppose -3*n + 3*q = -135, -68 = -4*n - q + 97. What is the highest common factor of t and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 0 + 0)*(w - 3*w + 2 + w) - 307*w**2 - 180*w**2 - 332*w**2.\nAnswer: -821*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 2652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 341074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 3*k**2 - 9*k + 1. Let i be h(-7). Let j be 24\/(-8)*(-31)\/3. Let f = j - i. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2090 - 2088.987. Let l = -0.013 + n. Let y = -0.102 + 0.1. Which is smaller: l or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/(-400) + 13\/((-455)\/168)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17.4 + -17. Let p = 5.4 - m. Let i = -15 + 15.1. Which is the third smallest value? (a) i (b) p (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/2 + 14*n**3 - 211*n**2 + 210*n + 5733\/2.\nAnswer: (n - 7)**2*(n + 3)*(n + 39)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 3\/2, 90.43, 0, -5\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10912278 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 m when three letters picked without replacement from vvoovvhvvmmmm.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**19\/q)\/q*q**(-25)\/q*(q**(-4)\/q)\/q**18 assuming q is positive.\nAnswer: q**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 14, -5, 1 in increasing order.\nAnswer: -5, -3, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-12)*9 + 2. Suppose -g*s = 4*s. Solve 0 = u - s*u - 4, 4*u - 28 = -3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 460632 to the power of 1\/2, to the nearest integer?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = -7*g + 118. Suppose g*x + 12 = 44*x. Solve -2*c - x*c = 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2269675 is divided by 4459.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u. Let w(y) = 4*y - 3. Let z(l) = -14*l + 19. Let c(i) = -7*i + 9. Let v(k) = -9*c(k) + 4*z(k). Let f(j) = 3*v(j) - 5*w(j). What is q(f(d))?\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 6:26 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/20, -2, -3, -1.2, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 364\/(-112)*-4 - 4620\/340\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 128 (c) -128 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 6. Suppose -73 + 16 = 19*p. Which is bigger: p or x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4412, 9142, 13872, 18602, 23332, 28062?\n\"Answer: 4730*z - 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 3:11 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -144 + 89. Let t = -10 - b. Calculate the remainder when t is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240 divided by 60.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 22730.8.\nAnswer: 22731.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1698 - 219.4\nAnswer: -1917.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 549 + -541. Let w(d) = 9*d**2 - 9. Let x(z) = 14*z**2 - 14. Let h = -59 + 54. Calculate h*x(v) + p*w(v).\nAnswer: 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 23*s**2 - 4*s - 23. Let x be m(-11). Let q = -970 - x. Let z = q + -287. What are the prime factors of z?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 103*z - 20. Let u(f) = 16*f. Give -j(k) + 6*u(k).\nAnswer: -7*k + 20","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 26 = 80. Suppose 2*d + s = -3*w, d = -d - 5*w - 33. Let b = d - -13. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-154)\/7 - 4)\/(-2) and 79.\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -l + 29. Calculate the remainder when (-86)\/129 - 125\/(-3) is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2 (b) 2\/7 (c) -1\/14 (d) 0 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 1. Let g be (-2 + 2 + 0)*-1. Suppose g = 4*v - c*v - 24400. Round v to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 15 = 7*f, 133 = -4*o - 5*f. What is the hundreds digit of o\/(-6)*5*240\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 8. Let v be 1 + (-2)\/(2\/(-5)). Suppose v = 2*t + u, -t - 7 = -4*u - 1. Solve 0*i - c*i = -t for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -46 + 233*s**2 - 42*s - 117*s**2 - 113*s**2 + 4. Give m(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2558470567?\nAnswer: 29, 269, 327967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 45197 to the power of 1\/2, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-153)\/255*(-2)\/(12\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*l + 5*w, 5*l - 19 = 4*w + 4. Suppose n + z + 2 = 0, -l*n - 4*z = 3 - 0. Let u = n - -11. Calculate the least common multiple of u and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 12:36 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -112104170 divided by 13081\nAnswer: -8570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 11:25 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2. Let v(s) = 2*s - 3. Let t(d) = -25*d + 40. Let j(y) = -3*t(y) - 40*v(y). Give p(j(r)).\nAnswer: -50*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.37 - 0.77. Let w = -62 - -69. Let j(c) = 3*c - 20. Let h be j(7). What is the closest to h in -4, f, w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 9:22 PM?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k - 2 = 17*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7cc24 (base 14) to base 7.\nAnswer: 2404644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1173417 - -2000972. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u - 4. What are the prime factors of (15 + 2)\/(u + -1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in millimeters?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21450301.\nAnswer: 2273, 9437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4976 is divided by 73?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6692 - 0.66916035. Round x to 6 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) 2\/13 (c) 3\/16 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58332170 a multiple of 6110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 343114380 divided by 237.\nAnswer: 1447740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 21*z**2 + 2*z - 43. Give y(21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + (sqrt(7) - sqrt(175)*1)*2).\nAnswer: 15 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20170 rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-411)\/5)\/(0 + 1\/(-5)). Suppose -10505 = 406*u - n*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -25952, 5, -3, -2 in descending order.\nAnswer: 5, 4, -2, -3, -25952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l**3\/6 + 6*l**2 + 10*l. Let z(h) = 3. Give 2*i(v) - 9*z(v).\nAnswer: -2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5007109231.\nAnswer: 29, 172658939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 3\/14, -2\/11, -1\/17?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 10. Suppose q = -m*q - 395. Let u = 188 + q. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + u**2 + 6*u + 4. Let r(w) be the second derivative of -w**5\/20 + w**3\/2 + w**2 - 2*w. Let s(i) = 2*g(i) - 5*r(i). Factor s(v).\nAnswer: (v - 1)*(v + 1)*(3*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5428313287?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -6.5. Let b = 56.4 + -56.8. Sort k, -3, 2\/3, b in ascending order.\nAnswer: -3, b, k, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90550?\nAnswer: 2, 5, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -5536, 1\/6, -3\/2 in ascending order.\nAnswer: -5536, -5, -3\/2, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7*t + 0 - 8 - 3 - 9*t. Give n(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 81*g**5 - 176*g**5 + 100*g - 84*g**5 - 89*g**5 - 72*g**5 - 5*g**2 wrt g.\nAnswer: -20400*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**3*p**3 - 6387182*a**3*p - 924*a**2*p**3 + 2*a**2*p**2 + 8*a*p**3 - 298*a*p - a + p wrt a?\nAnswer: -6*p**3 - 38323092*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3593, -328, 2937?\n\"Answer: 3265*v - 6858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.86 + 0.24. Let g = 27.1 - t. Which is smaller: -0.1 or g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - q**2 - q - 13. Let a(b) = -12*b + 243. Let y be a(20). Suppose -x + y*u = 3, 0 = 11*x - 15*x + 4*u - 4. Give g(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**3 - 1285*h**2 + 27960*h = 0. What is h?\nAnswer: 0, 24, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-44545)\/236)\/((-2)\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/10)\/(18\/12)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21.8 + 24. Let q = t - 1.7. Let r = -3.5 + q. Which is the closest to -1\/5? (a) r (b) 0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((171\/19)\/(-9))\/((-369)\/(-18)))\/(4\/(-2)).\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/9 - 4*i**2\/9 + 14*i\/9 - 8\/9.\nAnswer: -2*(i - 1)**2*(i + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -116 - 4*j**2 - 10*j + 132 + 5*j**2. Let r be t(8). Solve -2*b + 0*b - 8 = r for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**2\/3 - 6*f + 40\/3 = 0. What is f?\nAnswer: 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 9*l**2 - 9*l + 7. Calculate k(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 95118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3507, -2\/7, -3, -1, -34.\nAnswer: -34, -3, -1, -2\/7, 3507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.394 less than 38.89511?\nAnswer: 39.28911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 + 253*r**2 + 155*r - 328. Determine d(-126).\nAnswer: -3982","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 204*v - 83. Is g(38) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 91, -1052, 0 in descending order.\nAnswer: 91, 0, -15, -1052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*r - 30 = -137*r - 4*v + 15 + 3, 3*r - 38 = -19*v + 17*v for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/4 (b) -1\/17 (c) 0.5 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + (4 + 0 + -4 + -1*sqrt(2736))**2*6).\nAnswer: -49251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/672*(-4)\/(-1)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4711*n = -4666*n + 1035 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 8*q**2 + 758*q - 159. Calculate h(-95).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 264 - 263.6. Let m = 2 + 0. Let g = m - -7. What is the smallest value in o, -1\/4, g?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 6*v**2 - 2*v - 4. Let i be k(-2). Let p(n) = n**2 + 17*n + 15. Let y be p(i). Put 7, 3, y in decreasing order.\nAnswer: 7, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(175) + (sqrt(175) - (-3 + sqrt(175) + 1 + sqrt(175)) - sqrt(175)) + sqrt(175) - (sqrt(175) + -1*sqrt(175))*-4)**2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 20 = -f, l + f = -4*f + 37. Solve -l*v = 385 - 420 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*t + 4 = -3*h + 69*t - 33*t, -2*t + 3 = -5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 28 (c) 28834 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-4)*((-5580)\/315 + 12).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 r when two letters picked without replacement from {r: 10, b: 2, y: 4, l: 1}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((497\/(-14))\/(16\/96))\/(15*10\/50)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 444340231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is -10110110011101001 (base 2) in base 5?\nAnswer: -10442132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 11*w - 8. Let m be h(12). Suppose 5*u - 11 = -4*g, -3*g = m*u - 2 - 7. Solve u*n = -9 + 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 11*p**2 - 10*p - 13. Let i be d(-10). Suppose -32*f + 42 = -35*f. Which is smaller: i or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -58*n. Let r(w) = 6274*w. What is r(y(q))?\nAnswer: -363892*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1160, -2, -5, 0, -3 in decreasing order.\nAnswer: 1160, 0, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z - 3. Let y(t) = t - 1. Let g(k) = -k**3 - 30*k**2 + 1. Suppose -i = 8 + 22. Let r be g(i). Calculate r*w(h) - 4*y(h).\nAnswer: 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -25. Let t = z - 1.8. What is the third smallest value in 5, t, 3\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3840 and 403440?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1408)*2)\/(sqrt(11) - (sqrt(44)\/sqrt(4)*-6 - sqrt(11))).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwcg when four letters picked without replacement from rccgwcbcrrwgrccc.\nAnswer: 1\/1560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2057177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 918048 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 5*z**3 - 400*z**2 - 815*z - 410 = 0.\nAnswer: -1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 + 54. Let w = 16.1 - p. Let n(x) = x**3 + 11*x**2 - 13*x - 13. Let v be n(-12). What is the smallest value in 0.3, v, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*p = 80*p - 50 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23790 divided by -793.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2756, 5170, 7584, 9998, 12412?\n\"Answer: 2414*q + 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by 53997\nAnswer: 9\/17999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v + 0*v + 968548 - 3*v - 968548 + 2*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 15*h**2 + 45*h + 11. What is a(-5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*r - 24 = 0, 8*r - 12 = -2*s + 4*r. Suppose 2*w - s*p - 1557 = -3*p, -p + 3107 = 4*w. List the prime factors of w.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1800071.45 rounded to the nearest 1000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*-3*sqrt(2) + (sqrt(2) - 4*sqrt(72)) + ((1 + sqrt(2))*-4 - (-2*sqrt(22))\/sqrt(11))*5)**2.\nAnswer: 1716*sqrt(2) + 3526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16*1*4\/(-16). Sort -1, -79, b in descending order.\nAnswer: -1, b, -79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4176 + -2?\nAnswer: -4178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30116969 - -459402.\nAnswer: 30576371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**7\/840 - d**6\/120 - d**3\/3 - 3*d**2. Let c(i) be the first derivative of u(i). Find the third derivative of c(m) wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38008631?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/75*-3*162\/126)\/(8\/(-280))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15 + 16644512.\nAnswer: 16644512.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1084, 4342, 9772, 17374?\n\"Answer: 1086*r**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1224 + -1219. Solve t*c - 5 + 20 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 2 (b) -0.2 (c) -3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 + 4*u**4 + u**2 + (-4*u + 4*u + 2*u**3)*(u + 5*u - 4*u) + (u**2 + 4*u**2 - 3*u**2)*(-52*u**2 - 16*u**2 + 9*u**2).\nAnswer: -110*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -165.384486 + 165.37. Round y to 4 decimal places.\nAnswer: -0.0145","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -11*y + 180. Calculate the greatest common divisor of 162 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18236059\/50145 - -2\/16715. Let j = u - 363. Let t = -0.02 - -0.01. Which is greater: t or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0*t + 5*t + 6, 0 = -2*a - t + 24. Suppose 0 = -3*s + 5 + 19. What is the remainder when -1*s*(-6 - -1) is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4\/3 (b) 9 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -2, -15, -58 in descending order.\nAnswer: -2, -4, -5, -15, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 691 is divided by 58?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2016\/882*-7*(-5)\/30?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 8:34 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 18 - 3, 0 = -5*b + a - 10. What is the closest to b in 0, 3, -29?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = 4*l - 14*z + 12, 3*z = l + 9. List the prime factors of (5 - l)\/(-3*(-5)\/885).\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72\/6395 or 1?\nAnswer: -72\/6395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 8*n**2 - 6*n + 1. What is u(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 7 + 7. Suppose -3*m - 5*d + 23530 = a, d = 4*m - 3*d - 31416. What is m rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b = 27*b - 2640. What is the remainder when b is divided by 58?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -3. Let t = -2.72 + 1.78. Let w = 1.06 - t. What is the nearest to j in 2\/9, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-1\/3))**(2\/107)\/(b*b\/(b\/b**(-1\/2))*b*b)**(-28)*(b**8*b\/((b\/b**(-2\/3))\/b))**31 assuming b is positive.\nAnswer: b**(105403\/321)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 3*v - 1. Let r be s(4). Suppose -9 = -r*g + 24. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 - 2)*(-o + 5*o + 2*o - 4*o**2) + (3*o - o - 3*o)*(-2 - 5*o + 2).\nAnswer: 33*o**2 - 42*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 10953 = 9*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4427 = -3*x, 0*x = 5*w - 2*x - 4432. Let h = w + -726. What is the greatest common divisor of 256 and h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(448) + 1)*3 + sqrt(448))*5)**2 + 2*sqrt(448)*-3*-1.\nAnswer: 4848*sqrt(7) + 179425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14259701 divided by 5?\nAnswer: -14259701\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.999*452.\nAnswer: 451.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = -17278*s + 17284*s for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.1 - -4.9. What is the second biggest value in -8, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 116 + (-140 - -115).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 + 17*i - 2. Let y be d(0). Put -118, 0, -5, y in decreasing order.\nAnswer: 0, y, -5, -118","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3373 is divided by 186?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-11))\/(6\/(-1*3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -2 - (4 + -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -7 + 10 + -5 - 8.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58\/123 + 3131\/1968. Let w = -658\/9 - -10411\/144. Calculate the common denominator of t and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(76) + 1 - sqrt(76) - sqrt(76)))**2.\nAnswer: 8*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -1\/9, -8, 36.46?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14036882 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -1533*r**3 - 2628*r**2 - 1314. Let m(c) = c**3 + 2*c**2 + 1. What is -1314*m(d) - u(d)?\nAnswer: 219*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 3)*(-a**4 + a - a) + (3*a**2 + 0*a + 0*a)*(-6*a + 0*a**2 + 2*a - a**2) to j*a + t + b*a**3 + w*a**2 + n*a**4 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 184 = -4*m - 84, -4*k = 5*m - 575. Let d(o) = o**2 - 1. Let v be d(-6). What is the greatest common factor of v and k?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**3 + 66*y**2 + 29463*y + 702. What is p(139)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2307454 and 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-13*7\/(-1092)*2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 7099*n + n**2 + 11*n**4 + n**2 + 7097*n to the form r*n + t*n**4 + j + g*n**3 + d*n**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 720 and 48800?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -51\/8 (b) 4\/17 (c) 0 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -12*1*((-14794)\/(-39))\/(2\/(-3))?\nAnswer: 2, 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.3 (c) 5 (d) -0.82 (e) 0.192 (f) -49\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4380023 and 1591?\nAnswer: 1591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 0 - v**3 - 13*v + 2 + 2*v**3 - 12*v**2. Let o be r(13). Let w be -3*1*(6 - 5). Put w, -5, o in descending order.\nAnswer: o, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5821 + 93179\/16. Find the common denominator of -71\/100 and g.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n + 14. Let w be c(-10). Suppose 5*h - 18 - 73 = 3*t, -h + w*t + 25 = 0. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8\/242817 + 5426081\/96155532. What is the common denominator of 25\/16 and d?\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**3 - 2*y**5 + 2*y**3 + (-2*y**3 - y**3 - y**3)*(0*y**2 - 4*y**2 - 8*y**2) + 5*y**5 - 4*y**5 - 4*y**5.\nAnswer: 43*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -1\/1176*v**8 + 1\/84*v**4 + 2\/735*v**7 + 0*v + 5 + 0*v**3 - 1\/105*v**5 + 0*v**6 + 5*v**2. Factor b(q).\nAnswer: -2*q*(q - 1)**3*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (1 + -3 + (-3 - -4) - 10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 364695 and 492?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -4 - (-5 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254398692.\nAnswer: 2, 3, 21199891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104 - -103.9. Which is the nearest to z? (a) 3\/2 (b) -6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1 = -2*c, 3*c + 2 = -2*b - c. Suppose -4*h = -3*y - 5, -16 = 4*y - 3*h - 7. Let z = 2 + y. Put 0, z, b in decreasing order.\nAnswer: b, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 1525 in descending order.\nAnswer: 1525, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 13. Let o be (2 + (-6)\/5)*j. Solve o*v - v = 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -828, 123993, -3.\nAnswer: -828, -3, 123993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 170834507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 514 + 3125. Suppose 3*y - a = -244. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 1692*c + 49 - 1715*c - c**2 - 3. Let r be k(-25). Is (44\/66)\/(r\/(-762)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 812 + 3065. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -9*k. Calculate z(3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3971745 times -0.5\nAnswer: -1985872.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**2 + 4*s - 2. Determine k(4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwjb when four letters picked without replacement from {b: 3, j: 6, w: 5, p: 1}.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 65016353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -13. What is the remainder when m is divided by 1\/2 + 11\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3509\/4 - 4362\/5. Find the common denominator of z and -53\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = n + 2*n. Let h(r) = -r + n - 6 - r**2 - 10. Determine h(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-23)\/k**(-9)*k*k**(-2\/29)\/k*k**(5\/2) assuming k is positive.\nAnswer: k**(-671\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4495 is divided by 201.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f - 229 - 179 = 0. Suppose -429 = -f*q + 795. Is -1\/2 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + n + 16 = -5, n = 4. Suppose v + 0 = -x. Let o = 15 + -11. Sort -1, o, v in increasing order.\nAnswer: v, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -3*x. Suppose -4 = -x*u + 4. Solve 0 = -u*p + 14 + 6 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 7*g. What is the remainder when b(5) is divided by (-648)\/54*(-3)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 10 - (-2 - (-6 + -2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6863236 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 - 11 = 5*a. Let m = a - -23. Suppose -5 + m = 2*c. Solve -3*h - c = -6*h + y, 5*h - 2*y - 5 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205707388 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**3 - 22*n**4 - 2*n**3 + 18*n**4 + 8*n**2 wrt n?\nAnswer: -96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -4. Let c = d - 12. Suppose 5*k - 466 = -4*l, 5*l + c*l + 193 = 2*k. What are the prime factors of k?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3496.116 millennia?\nAnswer: 349611.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2775*n - 6590*n + 1820*n)*(-n**2 + 0*n + 0*n).\nAnswer: 1995*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 23.229341823 and 61?\nAnswer: 37.770658177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 312870468 to the power of 1\/3, to the nearest integer?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*z + z. Suppose 2*j - 15 = -z*j. Let n be ((20\/(-2))\/(-1))\/2. Solve -5*o = n*i - 40, 0*o = -j*o + 3*i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 28, 2858\/7 in decreasing order.\nAnswer: 2858\/7, 28, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 685802 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 338, -4, -14, 2, -2862 in ascending order.\nAnswer: -2862, -14, -4, 2, 338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*(sqrt(75) + (sqrt(75) + 1 + 0 - sqrt(75)) + 1*sqrt(75) + 5))**2.\nAnswer: 480*sqrt(3) + 1344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.39 times 26.65\nAnswer: 10.3935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 29025045*b - 29025040.\nAnswer: -5*(b - 5805008)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24269 + -48535\/2. Factor c*v**5 + 0*v**4 - 9\/2*v + 12*v**2 - 9*v**3 + 0.\nAnswer: 3*v*(v - 1)**3*(v + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41920.\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 5*l - 26 = -9*a, -8 = -2*a - l. Solve -4*q + c - 4 = a, -8 = q + 3*c for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 2*r + 6. What is d(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-5 + -6)) + (2 - 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*((sqrt(68) - sqrt(68)*3) + sqrt(68)) + sqrt(68) + -5*sqrt(68)*-2)\/((sqrt(400) + (sqrt(400) - 6*-1*sqrt(400)))*3) + 3)**2.\nAnswer: 7*sqrt(17)\/20 + 130433\/14400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 14*z + 2189. Let g(r) = 5*r + 732. Calculate -17*g(m) + 6*x(m).\nAnswer: -m + 690","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 483121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 15. Let y = w + 7. Suppose 3*k + 12 + y = 0. Sort 5, k, -2 in decreasing order.\nAnswer: 5, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.17 + -0.17. Let v = 1.01 + -0.01. Let i be 2\/4*4\/14. What is the closest to v in o, -0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 11) in base 4?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 230804079 to the nearest integer?\nAnswer: 15192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and -0.255.\nAnswer: -3.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 7*n + 176. Calculate j(-25).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 11:57 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14250426 + -11?\nAnswer: -14250437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 - 45*q - 69. Let f be h(27). Suppose 514*p - 512*p - f = 0. What is the remainder when 323 is divided by p?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 10*d + 27. Suppose 2*t = 7*t - 25. Let x be w(t). Suppose -j = -3*r + 61, -x - 3 = -j. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 + 609*s + 169*s - 1 + 1.\nAnswer: -2*s**2 + 778*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 13*w**2 - 22*w - 117. Calculate o(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 95649512 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, j: 1, x: 5, g: 5}. Give prob of sequence gx.\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 14*w**2 + w + 1. Let q be o(-1). Let s be (-483)\/q*4\/6. Is 28 a factor of 3 + (3 - s) + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a milligram in micrograms?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -54\/7 + 25\/7*c + 4*c**2 + 1\/7*c**3 = 0.\nAnswer: -27, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 13662.\nAnswer: -6831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 960862753 to the nearest integer?\nAnswer: 30998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 4*l - 8, 9 - 16 = -3*n + 4*l. Put -94, -2, 2, n in increasing order.\nAnswer: -94, -2, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 363 and 4?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2040, -3688, -5338, -6990, -8644?\nAnswer: -10300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -s - 28, -4*s - 5 = 11. What is the hundreds digit of 329 - ((-12)\/5 - v\/20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 228*h**3 - 140*h**3 - 141*h**3 + (-2*h**2 + 3*h**2 + h**2)*(0*h - h + 0*h) + 5*h**3 - 2*h**3 - 2*h**3.\nAnswer: -54*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - -241*32\/(-12). Let l = 646 + v. What is h in -2*h + 0 - 2\/9*h**3 - l*h**2 = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-12) - (-16394)\/21. Calculate the highest common factor of 180 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((sqrt(405)*1 - sqrt(405) - sqrt(405)) + sqrt(405))*2)\/(sqrt(441)*-2 + sqrt(441)))\/(-4*(sqrt(9) + sqrt(36)\/sqrt(36) + -1*sqrt(441))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -7*j. Let p(s) = -19*s + 40*s - 41*s**2 - 19*s - 14*s**2 + 7*s**2. Calculate p(z(w)).\nAnswer: -2352*w**2 - 14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1656*1.0023.\nAnswer: -1659.8088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-8)*(-10)\/(-15).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*y + 5. Which is the nearest to -1? (a) 1\/4 (b) y (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(266)*-1)\/sqrt(7))\/(5*sqrt(2)*3 - sqrt(2)).\nAnswer: -sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 259 and 1789542.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.164 + -1?\nAnswer: 51.164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - -3. Let k = -5 + d. Let u = k + -8. Sort 3\/2, -3, u in ascending order.\nAnswer: -3, u, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 7. Suppose -h - 5*j = z, -2*j = 7 - 3. Calculate the remainder when h is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(130)*-6)\/((sqrt(10) + sqrt(10)*-5)*-6).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -152.6 and -147.01.\nAnswer: 22433.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 1\/4*t**5 + 0*t**3 - 25\/2*t**2 - 15*t - 2 + 0*t**4 + 1\/6*t**6. What is the first derivative of n(j) wrt j?\nAnswer: 20*j**3 + 15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/108 and -137\/180.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4c62 + 5?\nAnswer: 4c67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 18*c + 22. Let h(v) = -5*v**2 - 8*v - 13. Let i be h(-2). Let d be n(i). Solve -3*t + d*a = -2 + 19, -17 = 5*t + 3*a for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 254 = 4*y, -458 = -24*m + 19*m - 2*y. Calculate the smallest common multiple of 465 and m.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4245 in -1, -5, -0.23, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-10) + 287\/((11 - -25) + -31).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -731532, -1463073, -2194614, -2926155?\nAnswer: -3657696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**16\/(m*((m*m**(2\/7))\/m)\/m))**28 assuming m is positive.\nAnswer: m**440","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -7 - ((14 - (3 + 5)) + -7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 289 and 325397?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**3 + 2646973 - 2646973.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.40651537 rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/(q\/(q*q**3)))\/q*q))**8*(q*(q\/(((q\/q**(1\/2))\/q)\/q))\/q)**42 assuming q is positive.\nAnswer: q**81","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -11. Solve -s + 2 = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 456794599*k**4 - 63582429*k wrt k?\nAnswer: 5481535188*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixteenth of a hour?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 3*g - 21 - 3, 22*g - 160 = 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away 150?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2269321 or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.006 - -25.006. Let c = -31.6 - -2.6. Let z = r + c. Are z and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6*w**2 - 2171*w - 12308. What is r(-356)?\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 10 = y, 0 = -3*a + 2*y + 22. Suppose -m = 3*t + 3, -a = -3*m - m - 4*t. Solve -4*j + 4*k + 16 = 0, 2*k - 7 = -0*j - m*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -2*y - 132. Let u = y - -153. Is u a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 + 1170066*r**2 + 4680216*r.\nAnswer: 3*r*(r + 4)*(r + 390018)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 10:54 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 5*g**2 + 8*g - 3. Let h be ((-216)\/15)\/(4\/(-5) - -1). Let r be 14\/2*h\/(-84). Determine v(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.945 - -0.145. Let k = -18.8 - y. Sort 5, k, 0 in descending order.\nAnswer: 5, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 618 = -4*b + 3414. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(27))**2*-4 + sqrt(135)\/(sqrt(5)*1) + 5 + -5 + sqrt(243)*2*5*-4.\nAnswer: -357*sqrt(3) - 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1092 and 2964?\nAnswer: 20748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 247848247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 8 + 8. Solve -2*n + 0*n = c for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 2*y + 1. Let a be s(-3). Sort a, 1, 3 in descending order.\nAnswer: a, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 62412\/63 + 8\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 6*n - 4. Suppose 4*o - 3*o - 7 = 0. Let f be i(o). Suppose -3*p + 4*h = 2 - 0, 2*p - f*h = -2. Solve p*d + 2*d + 4 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11527 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2934.023540691 - 2933.78254. Let i = -0.241 + a. Round i to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2132 (base 8) in base 12?\nAnswer: 78a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.15 - -0.23. Let a = -3.08 + i. Let k = -2.6 - a. Round k to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-7*16\/(-56)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 times -667\nAnswer: -600.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1063 - 639. Is 422 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1063.242 weeks?\nAnswer: 10717479.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-20 - (30 - 54)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-254298)\/14 + (-1)\/2. Let y = l - -18172. Calculate the common denominator of y and -87\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-4))\/(5\/(-20)). Suppose -3 = -3*j + 9. Let u(v) = -7*v**3 - v + j*v**3 + 2*v**2 + 1 - v**2. What is u(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9*(-15)\/(-90))\/(2*2\/(-1)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 331389, 662693, 993997, 1325301?\n\"Answer: 331304*m + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 881400 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n - 3. Let u(v) be the third derivative of v**4\/8 - 5*v**3\/3 + 5*v**2 + 3*v. Let a be u(4). Give h(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 10. Let z be m*((-18)\/4 - -4). Let r = 20 - 25. Which is greater: z or r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 2*r = -140. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*o**3*v**2 + 8*o**3 - 341*v**2 + 2*v wrt v.\nAnswer: 6*o**3 - 682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 9*q**2 - q - 5. Let i = 56 - 53. Let l be y(i). Let g = l + -36. Is g a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3144011184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -7*w - 5. Let u(m) be the third derivative of m**3 + 0*m + 0 + m**2 + 1\/3*m**4. Calculate -6*o(p) - 5*u(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -15*r**2 + 2*r - 2. Let p(g) = -572*g**2 + 77*g - 77. Calculate 4*p(f) - 154*y(f).\nAnswer: 22*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68445529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40026 divided by -2.\nAnswer: 20013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -30*z**2 + 807*z + 91. Give l(27).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 805056 a multiple of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 28*w + 2321 = 1418 for w.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2 (b) -4 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 44*r**3 + r**2 + 2*r + 2. Let c(l) = -l - 2. Let s be c(0). Let f be a(s). What is f rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 16 - 1 - (-608 - -222 - -290)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*x = 14 + 14, 2*l + 5*x + 31 = 0. Let g be l\/((-1)\/(-1))*-2. Suppose 5*r = r + g. Solve 2*s - 16 = 4*k, 3*s + k - 2*k = r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538353?\nAnswer: 3, 127, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 27b5 + 1?\nAnswer: 27b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**4\/3 + 18*j**3 + 220*j**2 + 3050*j\/3 + 1625 = 0. Calculate j.\nAnswer: -39, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59356\/(-11913) - (-6)\/19.\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/12)\/(((-4)\/12)\/(-1))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s + 5*z = 16*s - 23*s + 55, -56*s - 3*z + 316 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6212 = 11*b - 3435. Let l = b + -826. Calculate the remainder when 165 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r + 7. Let l(q) = q. Let u(k) = 4*l(k) + z(k). Let h be u(-3). Let n = -4 + h. Solve -s = -n*s - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/28)\/((-8)\/812))\/(-1*27\/(-72))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 9*j - 9)*(-6*j**3 - 6*j**3 + 3*j**3) + 0 + 0 - 3*j**4 to k + y*j**3 + i*j + u*j**4 + x*j**2 and give u.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -2076185 and -2076183 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 17\/32*h**4 + 0 + 3\/4*h**2 - 18*h - h**3 - 3\/32*h**5. Let z(d) = 0. What is d?\nAnswer: 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32032 (base 4) in base 16?\nAnswer: 38e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2826, 2825, 2824, 2823, 2822?\n\"Answer: -f + 2827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305 is divided by 140?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 s when three letters picked without replacement from {s: 4, b: 10}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -632 to the nearest ten.\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -9*y**5 + 48*y**4 - 72*y**3 + 18*y**2 + 33*y - 18 = 0.\nAnswer: -2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 399432 by -49929.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -3)*(19 + -20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-1 - (-3 - -1)). Let i be ((-12)\/25)\/(f\/20). Let -6\/5*g**2 + i*g**3 + 6\/5*g**4 - 24\/5*g + 8\/5 = 0. What is g?\nAnswer: -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -993*c**2 + 246*c**3 - 1310*c**2 + 3 + 2306*c**2 as u*c**3 + g + y*c + x*c**2 and give u.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 160186 + 5?\nAnswer: 160191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -30607, -61193, -91781, -122371?\n\"Answer: -s**2 - 30583*s - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 101001101 (base 2) to base 9\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + 2)*(-6)\/(-8). Let o be 20\/1 - (-3 - -3). Suppose 2*k + i*y - y = 12, -3*y = 4*k - o. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s + 0*s + 0*s)*(-9 + 9 - 55*s)*(-3*s - 7*s + s) as c*s + l*s**2 + r + a*s**3 and give a.\nAnswer: -1485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/85, -0.3, 5, 2, 0.858, 0.1.\nAnswer: -0.3, 2\/85, 0.1, 0.858, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**40\/(g*g**(-19\/4)) assuming g is positive.\nAnswer: g**(175\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -1076*z - 2. Let v(d) = 430*d + 1. What is -5*t(b) - 12*v(b)?\nAnswer: 220*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 7 - 486*s + 17.\nAnswer: -486*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27\/2 of a day?\nAnswer: 19440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4620, 9241, 13862, 18483?\nAnswer: 23104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 y when two letters picked without replacement from essyoosens.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -21 - 9b?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u - 12. Let g(i) = i - 15. Let r(j) = 1. Let h(z) = -g(z) - 5*r(z). Let a(l) = 5*b(l) + 6*h(l). Let v(n) = 3*n**2 + 3 - 3. Calculate a(v(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 8?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/61, -3, 0.2, -6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 = 3*v - 2*p, -2*v + 5*p + 83 = -86. What is the remainder when v is divided by 0 - 1 - (-25 - 0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 6361 = 140*i - 1817 for i.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 74 * -0.1.\nAnswer: -7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*6\/8*1\/(-4)*4?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 + (-32)\/(-6))*((-6)\/5)\/(-1). Let p = 602\/10659 + -4\/187. Let y = -41\/456 - p. What is the smallest value in 11, y, k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41230 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 8*j + j**2 - 5 + 2 + 0*j**2. Let w(s) = -54 + 4*s**2 - 13*s**2 - 2*s + 10*s**2 - 30*s - 59. Let z be w(35). Give p(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*f + 30 = 123*f. What is the greatest common divisor of 375 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -33435, -70406, -107375, -144342?\n\"Answer: i**2 - 36974*i + 3538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 4:40 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 16 = -5*h - 5, 3*j - 29 = -5*h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5291, -5779, -6267, -6755?\nAnswer: -7243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204 and 8466?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwdy when four letters picked without replacement from nmmwnynnnnynmwddwnhw?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)*4 - (1*sqrt(9)\/sqrt(3) + sqrt(3))**2.\nAnswer: -12 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2360159, 2360133, 2360105, 2360075, 2360043?\nAnswer: 2360009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40539072 and 210168?\nAnswer: 364851648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*z**2 - 25*z - 2*z**2 + 25*z + 18*z**6 wrt z?\nAnswer: 2160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 33.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 10*m**2 + 5. Let a be 24\/(-12) - (0 - 6). Let z be v(a). Suppose -6*k + z = 9. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242640 is divided by 1055.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1692 = 13*u + 1246. Let x = u - -350. What is the greatest common divisor of x and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/176451 and 5\/11?\nAnswer: 176451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 11:15 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -462 - -7389\/16. Let k = -4\/3047 - -289481\/12188. Calculate the common denominator of k and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8358.2 - 531. Round p to the nearest 100.\nAnswer: -8900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-57)\/1311)\/((-7)\/126*-6)*(-8)\/(-36)?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of 1895*b**4\/24 - 1753*b**3\/6 - 1959*b**2. Differentiate o(t) with respect to t.\nAnswer: 1895","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*g - 1500, -2*u - 3*g + 2*g = 999. Put -5, u, -1 in descending order.\nAnswer: -1, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 571 divided by 1021?\nAnswer: 571\/1021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1\/2, 3, 1\/17, -1.2, 4\/15 in decreasing order.\nAnswer: 3, 1\/2, 4\/15, 1\/17, -0.2, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 47878.\nAnswer: -5\/47878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*k + 529891 = 939713 + 623426. What are the prime factors of k?\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1186427 is divided by 1967.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 - 26*y + 35. Determine r(11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 0.1. Let h = 1.1 + -0.1. Suppose 6 = 2*b, -2*n - b = -n + 2. What is the nearest to 0 in h, n, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(128)*2 - (sqrt(2) - sqrt(2)*4)*1).\nAnswer: -114*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, z: 9, s: 4}. What is prob of sequence zzz?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134634, -267817, -401000, -534183?\nAnswer: -667366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315*g + 162*g - 63060 = -159*g. What are the prime factors of g?\nAnswer: 2, 5, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/8)\/(m\/m**(-3\/8))*(m**2*m)\/m*m\/(m*m**(-1\/4)) assuming m is positive.\nAnswer: m**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 0*b**2 + 0*b**5 + 0*b + 0*b**4 - 4 - 4\/7*b**7 + 0*b**6 + 2\/3*b**3. Find the third derivative of i(f) wrt f.\nAnswer: -480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5512.829 millennia?\nAnswer: 551282.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -v**3\/2 + 5*v**2\/2 + 23*v. Let q(c) = 4*c - 6. Give -6*b(n) - 5*q(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2836*a**3*b**3 + 16*a**3*b**2 + 128*a**3*b - 16*a**2 + 31*a*b**3 - a*b**2 + 81*a wrt a?\nAnswer: -17016*b**3 + 96*b**2 + 768*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4159 - -4203. Calculate the greatest common factor of r and 10428.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 72, 21, -52, -147, -264, -403, -564?\n\"Answer: -11*h**2 - 18*h + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4961707*b**5 + 832*b**2 - 364*b wrt b.\nAnswer: -297702420*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6475 = -5*k + 3*p + 22025, -2*p + 15575 = 5*k. Let o = 1344 - k. Let r = -2669 - o. Round r to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 20. Let g = -13.75 - y. Let u = g - 0.81. What is u rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/5)\/((-196)\/(-70)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 8 + 20. Suppose 3*c + 1 = z. Let f be 1 + (-12*1)\/(-2). What is the highest common divisor of f and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -5*b - 29. Let n(l) = 645*l - 365*l - 266*l + 86. Determine 6*n(r) + 17*s(r).\nAnswer: -r + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288 and 592.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 - -29 - (-208 + 164)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 0, -5, -2.1, 8 in descending order.\nAnswer: 8, 0, -1\/6, -2.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 9*z + 10. Let v be (-6 + 132\/15)\/((-2)\/(-5)). Calculate r(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.6, -1\/4, 0.007491?\nAnswer: 0.007491","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -999*v**3 + 37*v**2. Let w(d) = -111*d**3 + 4*d**2. What is -4*k(p) + 37*w(p)?\nAnswer: -111*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3886530 and 3497877.\nAnswer: 34978770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21\/116 - 25763\/580. Let t be 1 + 42 + (-6)\/(-3). Let a = t + g. What is the second biggest value in 5, a, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3483 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: Suppose 102 = 8*r - 2*r. Suppose -i**2 + 24*i - 7*i**2 - 35*i + 2*i**3 + r*i = 0. Calculate i.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s = 2*n - 12, 70*n - s - 30 = 65*n. Let j(f) = 2*f**2 + f - 2. Let b be j(-2). Solve n*z - b = 5*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2270193*d*k**3 + 1599756*d wrt k?\nAnswer: -6810579*d*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 9:02 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1808, -5051, -9728, -15839, -23384?\n\"Answer: -717*m**2 - 1092*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-237)\/(-6))\/(3 - 2) and ((-148)\/66)\/((-8)\/18).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 104.2296 litres?\nAnswer: 104229.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2 + 807*t + 213124. Determine y(-182).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 193438983 and 17286.\nAnswer: 386877966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1493 (base 15) in base 4?\nAnswer: -1010331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3030\/7070)\/((-3)\/(-266)*2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -335*v**4 + 520*v**3 + 2 + 677*v**4 + 63*v**3 - 340*v**4 in the form r + n*v + s*v**4 + z*v**3 + u*v**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.837448 and 66722106?\nAnswer: 66722108.837448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 21 + 20*n)*(2*n - n + 5 - 3)*(2*n - n - 3*n - 4 + 4 + 2*n + (2 - 1 + 0)*(2*n - 2*n + 2*n) + 0 - n + 0 - 2*n - 2*n + 6*n).\nAnswer: 60*n**3 + 120*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 337982645 to the power of 1\/2, to the nearest integer?\nAnswer: 18384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(343) + 1 + -2 - (-3*(2*sqrt(63))\/sqrt(9) + -3)**2.\nAnswer: -261 - 29*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 951.1869l to millilitres.\nAnswer: 951186.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 17*n - 4. Let b be d(-3). Let k = -497\/9 - b. What is the common denominator of -113\/10 and k?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 965802241.\nAnswer: 31, 31154911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, 1\/16, -0.15, 2\/3?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -351*c**3 - 44*c**2 + c - 252. Let a(z) = 703*z**3 + 81*z**2 - 2*z + 504. Let k(x) = 6*a(x) + 11*u(x). Find the second derivative of k(p) wrt p.\nAnswer: 2142*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -4, -14\/3, -0.2, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - 0 - (23 - 38)) + -28.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51961213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -9, -0.41353, 3\/8?\nAnswer: -0.41353","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12\/7 - 8\/21. Let u = 0.055 - 2.055. Sort 0.3, c, u in descending order.\nAnswer: c, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 33*g - 66. Let y(t) = 2. Let m(z) = -v(z) - 6*y(z). Is 10 a factor of m(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, l: 4, x: 4}. What is prob of picking 2 x?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 + 41. Let l = c + 2. Let o(n) = -5*n**3 + 17*n**2 + 3*n + 1. Let a(x) = -3*x**3 + 9*x**2 + x. Let r(m) = l*o(m) - 7*a(m). What is r(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, j: 4, m: 1, u: 4}. Give prob of picking 4 u.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 5*q = -2*w - 14, 0 = 2*q - 8. Suppose w*c = c + 144. What is the greatest common divisor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97 - 41 = 28*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/210)\/(((-5)\/15*-8)\/((-1490)\/(-149)))?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 + 3 - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in -7, -1\/5, -0.3, 7199, 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2867.004 rounded to zero dps?\nAnswer: 2867","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4031183\/71852910 - 1\/175251. Calculate the common denominator of 1\/902 and g.\nAnswer: 4510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6307 - -3?\nAnswer: -6304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1422*l - 59810 + 29903 + 15710*l + 29907 to m + q*l and give q.\nAnswer: 14288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6480751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2 - 3*h + 29. Give c(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 2 = 18 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-6) + (-16)\/6. Let m be 60\/(-14) - (-1 - 3). What is the nearest to -0.1 in m, s, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.8 in 0.144, 0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 3*m - 3 = 0, -2*m - 8 = -2*b - 3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 f when two letters picked without replacement from kbfroqrbrfroqo.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*j**2*p*z**3 + 3*j**2*u*z**3 + 2*j**2 + 2*j*p*z - 3*j*u*z**2 + j*u*z + p*u*z**3 + 2*u*z**2 wrt z?\nAnswer: 18*j**2*p + 18*j**2*u + 6*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -3462?\nAnswer: -1038.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 54*n**2 - 1700. Let f(q) = -35*q**2 + 1134. Let a(d) = -14*f(d) - 9*k(d). Let v(u) = -2*u**2. Determine v(a(x)).\nAnswer: -32*x**4 + 9216*x**2 - 663552","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 50 = -7*i. Suppose y - 5 = 2*a, -4*a + 3*a + 2*y = i. Let u = -32\/15 + 203\/60. Which is smaller: u or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 9*y**2 - 23*y - 2. Let t be (0\/2 + 4)\/((-2)\/(-16)). Suppose -3*b + 0*b - 3*s = 24, -3*b = -s + t. Does 24 divide a(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 + 76 = -64*u. Let p(i) = -9*i + 2. What is p(u)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v. Let l be 1\/3*(12 - 3). Let m(z) = -7*z - z**2 - 6 + 1 + l. Let f be m(-6). What is t(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9348.5*-18.\nAnswer: -168273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -979540 by -860.\nAnswer: 1139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, a: 1, i: 2, p: 1, z: 4, m: 1}. What is prob of sequence pzv?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-2))\/((-3)\/6). Let w = l - -6. Let h = -5 - -7. Put h, w, -3 in decreasing order.\nAnswer: h, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2971.2 (b) -1\/3 (c) 148\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + -20. Let v be (-5)\/8*376\/y. Let b = v + 18. Calculate the common denominator of 13\/2 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + g - 3*g. Let v be 2 - (-5)\/(-1) - -147. Let q(c) = v - 144 + c**2. Give m(q(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r - 16. Let a be j(-12). Find the first derivative of -21 + 15 - 4*m**2 - 7*m**2 - a*m**2 wrt m.\nAnswer: -38*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*m - 13*m. Suppose -4*v = v - 5*a - 55, 2*v - 4*a - 28 = m. Suppose -v = -3*c + c. Solve -2*y - 3*n = -c, -3*y + 2*n + 6 = -0*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 726 and -4007.\nAnswer: -3281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**2 + 108*y - 106 = 0.\nAnswer: 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1199 - 3500. Suppose -2*s = 2*s - 3324. Let z = w + s. Round z to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 32333110?\nAnswer: 32333113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290*d - 1952 = -306*d. What is the remainder when d is divided by 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d + 12. Calculate j(11).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -5 - 0) + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 22*t**2 + 6*t + 7. Let k be b(7). Let n be 2744\/k - (-2)\/(-3). What is the third smallest value in -6\/11, n, 0.4, 0.04?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (223 - 1) + -6*(-3)\/6. Let c = b - -406. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98130?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/16 and -3 - ((-245)\/20 + 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + w - 5. Is 45 - (-5)\/(w\/(-3)) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 - -43. Let p(r) = -f*r - 907 + 907. Let w(g) = -3*g. What is w(p(x))?\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 283 - 267. Find the first derivative of -7 + 16*h**3 - 70*h**3 + m - 19 wrt h.\nAnswer: -162*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 57\/4, 1\/4, 0.4, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 4*l + 8, 6*n + 60 = 3*l - 0*l. Let h(g) = 3*g + 38. Calculate h(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s - s + s)*((-2 - 2 - 1)*(5*s - 3*s - 8*s) - 3*s + 2*s + 2*s) to the form q + u*s**2 + g*s and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1311, 1428, 1543, 1656, 1767?\n\"Answer: -i**2 + 120*i + 1192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14841 is divided by 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3 - (-14)\/4). Factor -2*w - 10*w**2 + 21*w**m - 13*w**2.\nAnswer: -2*w*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/14 + 6\/(-21))*-1. Suppose -l = 3*y - 31. Let s be y - (1 - -1 - 0). Calculate the highest common divisor of s and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 122 - 48. What are the prime factors of p?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -183904.3 rounded to the nearest one thousand?\nAnswer: -184000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 86. Let r(w) = -2*w + 1. Let l(c) = -3*r(c) - z(c). Let x be l(26). Let q = -69 + x. Solve 0*m = -2*m - 5*d + q, -2*m + 20 = 4*d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4241*h*l*s**2 + 867*h*s**3 + h*s**2 - 61*l + 115170*s**3 + 2*s wrt h?\nAnswer: -4241*l*s**2 + 867*s**3 + s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**2 + 11640*n - 11636 = 0. Calculate n.\nAnswer: 1, 2909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**3 + 2 + 12*h**3 - 4222416*h + 4222416*h.\nAnswer: 18*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**3 + 5*q**2 - 4*q - 1. Let r be d(3). Let m = r - -23. Determine x, given that 4*x + 0 + m + 2*x**2 + 1 + 0 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 + 6*u - 59. Let z be d(-12). Let i = 280 - z. Calculate the remainder when i is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5243 - 33*c**2 - 5587*c**2 + 5243 - 4685*c**2)*(-2 - 2 + 3) + (-2*c - 1 + 1)*(3*c - 2*c - 2*c).\nAnswer: 10307*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 107\/88 - (-7 - (-399)\/56). Let l = i - -9\/22. Sort l, 78, 4 in decreasing order.\nAnswer: 78, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 7) to base 3.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**7\/189 - 2*p**6\/135 - p**5\/30 + 4*p**4\/27 - 4*p**3\/27 - 19*p + 1. Let f(a) = 0. What is a?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 32 = -4*l, l - 5*l + m - 17 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.4 (b) -5 (c) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4666 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 9336\/301, -14, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35.978 * 20.\nAnswer: 719.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15.88 - -16. Let u = 0.09 - 0.01. Let l = u + r. Which is the second smallest value? (a) l (b) -2\/9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10703 - -2807. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31 and -22939558.\nAnswer: -711126298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145884 divided by -36471.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*a - y + 31 = 0, 27 = 4*a - 5*y. Let k(t) = a*t + 4*t + 3*t - 21*t. Let i(m) be the third derivative of -m**5\/30 - 3*m**2. Determine i(k(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 5*y**2 - 4*y + 5. Let d be u(4). Let t = 0.3 - 0.4. Let b = -13 + 12.8. What is the closest to b in d, 2\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295967 is divided by 87?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 5:26 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14\/21)\/(10\/(-6)). What is the second biggest value in -1\/6, -0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v - 3*s = -20*v + 291, 5*v - 283 = -s. What is the remainder when v is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 5 (b) 2 (c) 4\/3 (d) 3\/4 (e) 0 (f) -46786 (g) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1541344895.\nAnswer: 5, 308268979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 - ((3 - 3 - 3) + (428 - 427)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 5*d + 8. Let s be h(6). Suppose 0 = -5*o + s*o - 18. Does 11 divide 3\/9 - 160\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -714695418.3682834585 - -714695418. Let q = c + -14.6317168115. Let d = -15 - q. What is d rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 11*h**2 - 7*h - 6. Let b = 0 - 9. Let p be z(b). Suppose -3*q - 2*l = -224, -3*q + l = -2*l - p. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -m**6\/180 + m**5\/120 + m**4\/6 + m. Let d(o) be the third derivative of u(o). What is d(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*k - 57*k = -2106. What is the greatest common divisor of k and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -186251188, -186251187, -186251186, -186251185, -186251184?\n\"Answer: l - 186251189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1194 and 132?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 3:50 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2447.1457 rounded to the nearest ten?\nAnswer: -2450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 6 + 2 + -6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 210623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 49*i = -50*i + 13, 30 = 6*i for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**36\/(u\/(u\/(u\/u**(-10))))*(u\/(u\/((u**21*u)\/u)))\/(u*u**(-1\/37)) assuming u is positive.\nAnswer: u**(1666\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -22 - 8. Let h(f) = -f**2 - f**3 - f + 4*f - 2*f + 3 + 5*f. Let s(d) = -d**2. Let q(c) = -h(c) - 4*s(c). Determine q(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -175551970*u**3 - 3*u**2 - 9*u - 217925 wrt u.\nAnswer: -1053311820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -15 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9966459?\nAnswer: 3, 29, 97, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 6*m**3 - 2*m + 1. Let f be r(1). Which is the closest to 0.1? (a) f (b) -0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -64.8115 and 15.\nAnswer: -972.1725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1451014804?\nAnswer: 2, 17, 79, 257, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b. Let w(t) = 51*t + 3. What is w(d(r))?\nAnswer: 51*r + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 53, 79, 97, 101?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-212)\/(-44) - 56\/792?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -141 in -17, 0.4, -3, 105\/22?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-36)\/(-120) + 6269035\/50 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/473 in -1, -3\/4, 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -256, -590, -1058, -1660, -2396, -3266?\nAnswer: -4270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 588836*n**4 - 1387*n**2 - 30?\nAnswer: 14132064*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -8058377?\nAnswer: 5\/8058377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwy when three letters picked without replacement from {y: 9, w: 9, t: 1}?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*k**4 + k**3 + 4*k**2 - 17*k**4 - 2 - 11*k**4 + 2*k to d*k**2 + n*k**4 + s + t*k + b*k**3 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**0*n)\/n)**(1\/62)\/(n*n**(-1\/2))**28)\/((n*n*n\/n**(-2\/5))**(-37)*(n**0)**(-32)) assuming n is positive.\nAnswer: n**(559\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 198*h**3 + 2*h - 766?\nAnswer: 594*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13093.76 decades to millennia.\nAnswer: 130.9376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 687 (base 10) to base 4.\nAnswer: 22233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*t = t - 9, -2*i - 5*t - 12 = 0. Sort 5, 3, -2, i.\nAnswer: -2, i, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v**2 - 10*v - 11. Let t be b(7). Suppose t = 3*z - 4*d, -z + 4*d = -34 - 34. Does 24 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 at most -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 960858*v + 129939 with respect to v.\nAnswer: 960858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*p + 32 - 32)*(24*p - p + 33*p) + 0*p**2 + 0*p**2 + 5*p**2.\nAnswer: -835*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28.2 + -187.2. Let m = 159.5 + o. Which is the nearest to -0.2? (a) m (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, i: 1, o: 2, s: 1, c: 1, r: 1}. Give prob of picking 1 o and 1 c.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 28*a - 35 - 13 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 603*t - 605*t = -20*s - 12, -s = 5*t - 30. Factor 0 + 1024\/15*h**2 + s*h - 128\/5*h**3 - 4*h**4 - 2\/15*h**5.\nAnswer: -2*h**2*(h - 2)*(h + 16)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 16*n**2 - 2*n - 3 - 2*n**3 - 10*n**3 + 14*n**3 as d + f*n + b*n**3 + j*n**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.185462 and 5.\nAnswer: 5.185462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + 6537\/15 - (-1)\/5. Let g = 772 - o. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24397 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2232*j**2 + 144. Let u(y) = -77*y**2 + 5. Calculate -5*t(b) + 144*u(b).\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 - 27.625. Let t = -4513.3 - -4510. Let d = v + t. What is d rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, h: 1, e: 3, w: 4}. What is prob of picking 1 h and 1 n?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.12, 2\/11, -5\/46 in increasing order.\nAnswer: -5\/46, 0.12, 2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.06, 4, -1\/3, -0.3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2. Let c(w) = 6*w**2 + 8. Let q(k) = -k**2 - 1. Let t(i) = 5*c(i) + 40*q(i). Give r(t(v)).\nAnswer: 100*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 299 - 90. Let i = -209.1 + s. Which is the closest to i? (a) -0.5 (b) 23 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 192 - 336*z**3 - z**2 + 92*z**3 + z**2 with respect to z.\nAnswer: -732*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 5*g + 20 = 0, -s + 62*g = 65*g - 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64070.\nAnswer: 2, 5, 43, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 26)*6\/(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 630490470 a multiple of 937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32 in 29, -2, 0.5, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21390002.\nAnswer: 2, 379, 28219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/6*3*4\/40\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -15733 not equal to -15672?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.13157 nanograms to grams.\nAnswer: 0.00000000013157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15.6 (b) 1\/7 (c) 2\/13 (d) 3\/5 (e) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 8*z**2 + 522996*z - 261500 = 0?\nAnswer: -65375, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57 + 59. Suppose -p*k + 5 = n, n + 0*n + 5 = 3*k. Solve -k*t + 7 = 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from {d: 2, h: 7, r: 1, u: 4, p: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2700130 to the power of 1\/2, to the nearest integer?\nAnswer: 1643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkkjjtjjkkjjk. What is prob of sequence tj?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2. Let p(j) = -70*j - 251*j - 428*j - 169*j. What is p(r(c))?\nAnswer: -918*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -6. Let k be 10\/s*(-96)\/20. Suppose -1 = -5*r - k. Sort r, 3, -5 in ascending order.\nAnswer: -5, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -387*k + 1921*k + 1 - 1546*k - 1.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24197 to the power of 1\/2, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.38 + 4.72. Let c = -13.1 + k. What is the closest to -1 in -4, c, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 26*z + 7*i = 23*z - 24, 4*z + 12 = 2*i for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45\/4 - 11. Let w = 9 - 6. Let m = -6 + w. What is the nearest to u in m, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d - 106522 = -14*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.56 - -0.04. Let d = 3 - 4. Let j = d + f. Which is the smallest value? (a) j (b) 1\/3 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2527*b**3 - 14*b**2 - 17*b + 3. What are the prime factors of s(3)?\nAnswer: 3, 5, 13, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p = 20 - 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 11 (c) -17073\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13)\/65 - (-72)\/10. Let z(a) be the first derivative of -3*a**4 + 3 - 8 + 9 - m*a. Differentiate z(p) with respect to p.\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -1 (c) -1667 (d) 0.2 (e) -80 (f) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2233776029?\nAnswer: 2233776029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4113194 is divided by 325?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.808406 and -0.13.\nAnswer: 0.23509278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 850092 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2. Let y(a) be the third derivative of 0*a + 0 + 7*a**2 + 0*a**3 + 1\/6*a**4. Determine y(r(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*n = 187, -2*x = -3*n - 14 - 59. Suppose -9*u + 9 = -6*u. Suppose -u*o + x = 5. What is the remainder when o is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000045088 to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*c - d - 2, -3*d - 5 = 2*c. Calculate the remainder when c + 2 + (-10)\/(-2) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 230 * -25719\nAnswer: -5915370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/1)\/(1 - 3). What is the second derivative of -3*b + 6*b + 2*b**2 - 9*b**w wrt b?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, g: 6, s: 3, t: 2, u: 3}. Give prob of picking 2 t and 2 z.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 18 = 4*z, 4*z + 166*w = 164*w - 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 20*n**2 + 26*n - 15. What are the prime factors of j(-7)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.09, 1\/5, -59, 0, -41, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -11 - (0 + 3) - 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*b, -2*z - 17*b = -16*b - 2263. List the prime factors of z.\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/3 - 77\/(-3) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2 + 3*z + 4. Let w be k(3). Let h = -39495 + 39497. Put w, h, -1 in increasing order.\nAnswer: w, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 8*p**2 + 6*p - 1. Let b be f(-5). Suppose -8 = 4*t - b. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a - 6. Let r(n) be the third derivative of 0*n + 5\/6*n**3 + 0*n**4 - 1\/30*n**5 + 0 + 2*n**2. Let x(v) = 2*v**2 - 6. Calculate a*r(w) + 5*x(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, 94, -1\/5, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (195\/(-7800))\/(2\/32)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5768077g to micrograms.\nAnswer: 576807.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + c - 3*o - 5 = 0, -2*o - 10 = -4*c. Calculate the remainder when 12 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-6\/5)*g\/g**(-9)*g\/((g*g\/g**9)\/g)*g\/((g*g**(-7)\/g*g)\/g)*g assuming g is positive.\nAnswer: g**(134\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2 - 368*l + 4883. Give u(-193).\nAnswer: 1409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/186 and -151\/768?\nAnswer: 23808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/25)*g*g)\/(g\/(g\/g**(9\/5)))*(g**(-4\/9)\/g)\/g**4 assuming g is positive.\nAnswer: g**(-1162\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 - 4*s**2 - s**2 + (-50 + 50 - 24*s)*(s + 8*s - 3*s + (-2 + 3 + 1)*(-1 + 1 - s)) to the form n + u*s**2 + d*s and give u.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 19085.13 weeks?\nAnswer: 133595.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1310872976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 0.2. Let p = 0 - j. Let i = p - 0.1. Which is greater: 1\/3 or i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 3*n + 11, -32*c + 5*n = 133 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -392 divided by 98\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1467 divided by 21.\nAnswer: -489\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -83846, -1, 5 in descending order.\nAnswer: 5, -1, -83846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-25)*y**(11\/2)\/y)\/(y**(6\/5)*y\/y**(10\/3)) assuming y is positive.\nAnswer: y**(-581\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 204 + -187. Let h = -18 + 37. Let t = h - g. Calculate the lowest common multiple of 4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 10, -722, -5 in increasing order.\nAnswer: -722, -5, 10, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -250786, -501581, -752376, -1003171, -1253966, -1504761?\n\"Answer: -250795*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b + 2. Let r be 0 + -1 + (-1)\/1. Let w(q) = q + 1. Let v(d) = r*w(d) + j(d). Let a(z) = -3*z. Give a(v(h)).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t = -126*t + 1128 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5482 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l + 2*l + 15 - 41 = 4*n + 180, 2*n - 3*l + 61 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 30*x + 68.\nAnswer: -2*(x - 17)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15453601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -126, -180, -240, -306, -378, -456?\nAnswer: -540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5256)\/(-16))\/73)\/((-3)\/(-22))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15929603 - 7*y - 15929603.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-12)\/(-24) - 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**8\/20160 - z**7\/1260 + z**6\/180 + z**5\/30 - 5*z**2. Let x(c) be the third derivative of l(c). Let x(k) = 0. What is k?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ynkkknnkkknkknkkkk. What is prob of picking 3 k?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -985*-8\nAnswer: 7880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*s + 256*s + 623*s - 1073*s + 42.\nAnswer: 3*s + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence je when two letters picked without replacement from {j: 1, e: 7, u: 4, v: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**3 - 1950*w + 973*w + 7*w**3 - 29*w**2 + 977*w.\nAnswer: 2*w**3 - 29*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.25, 2, 4, -1\/31?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 19\/10*u**5 + 0 + 0*u**2 + 1\/2*u**3 - 6*u + 1\/3*u**4. What is the third derivative of z(k) wrt k?\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u**3 + 10*u**2 - u - 6. Let i(x) = -9*x**3 - 19*x**2 + 2*x + 11. Let k(m) = -6*i(m) - 11*o(m). Let p be 4 + 2*((-2)\/(-2))\/(-2). Give k(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ujuuuujjjujjhjjjjjj. What is prob of picking 2 j, 1 u, and 1 h?\nAnswer: 33\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**2 + 40 - 4*g**3 + 11*g - g**3 - 5*g**2 - 6*g**2 + 9*g = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssipqpqpiiuiipi. Give prob of sequence suqq.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1552)\/(-24) + (-11)\/(132\/(-16)). Calculate the greatest common divisor of u and 1936.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 209.6278 - -1.6942. Let p = g + -211. Round p to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13394305 rounded to three decimal places?\nAnswer: -0.134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 145.\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 0. Let w(v) be the first derivative of v**2\/2 + 7*v + 6. Determine w(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010111100 - 100?\nAnswer: 1010111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or -0.006196?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -202*l. Let f(y) = -6*y**2. Determine w(f(k)).\nAnswer: 1212*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 1170?\nAnswer: 1169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 5:23 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -1 + 7 + (4 - 9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 453*g**3 + 4 - 450*g**3 - 5 + 0 + 1.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 201\/11217962 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -386775114 or -386775116?\nAnswer: -386775114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-6))\/(4\/(-6)). Which is bigger: v or 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence psa when three letters picked without replacement from whwapshp.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 24892473\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h. Let x(k) = 5*k. Let j(i) = 3*r(i) + 2*x(i). What is j(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 5*f**2 - 4*f + 5. Let t = -9 - -5. Calculate the remainder when 14 is divided by a(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 - 30*q**2 - 54*q - 26.\nAnswer: -2*(q + 1)**2*(q + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(8\/16)\/((-2)\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 11:00 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*r + 155 = 27*r + 22*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + (sqrt(120)\/(sqrt(8) + sqrt(32)\/sqrt(4))*1)\/(1*-2*sqrt(500)).\nAnswer: -1 - sqrt(3)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 34*n. Let i(z) be the second derivative of z**5\/20 - 17*z**3\/3 - 153*z - 1. Calculate 3*a(s) + 2*i(s).\nAnswer: -s**3 + 34*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 0)*80\/(-5). Let m = b - 15. Suppose -2*n + 4*x = -12, -3*x + x = -2*n + 14. Solve 3*r - n = m for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 3*n**2\/2 + 3*n - 3. Let h be k(5). Let r(c) = -h - 3*c + 18. Let z(d) = 4*d**2. Determine r(z(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + -0.3. Suppose -j = 4*t + 5, 2*t = -1 - 1. Let n = -5 - -31\/6. Which is the nearest to j? (a) -5 (b) n (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16679663 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 5*s - 60, -s - 2*s = 3*m - 36. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2204, -933, 338, 1609, 2880, 4151?\n\"Answer: 1271*q - 3475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 8*x + 59 - 79, 11 = -5*n + 3*x for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-313 - 186*d + 626 - 313)*(11 - 2 + 6)*(2 - 4 + 3)*(1 + 3 - 1) to v*d + m and give v.\nAnswer: -8370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(36)\/sqrt(4))\/(sqrt(48)*-2).\nAnswer: -3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 914*p + 4861 = 34521 + 7814 for p.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -151 + 6039\/40. Calculate the common denominator of 57\/16 and t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3011 in -8.3, -1\/5, -0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + l**2 - l**2)*(-2 + 2 - 1)*(29*l**2 + l - 13*l**3 + 4*l**2 + 14*l**3).\nAnswer: 2*l**5 + 66*l**4 + 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**5\/300 - v**4\/120 - v**3\/15 - 10*v**2. Solve f(w) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1232323994?\nAnswer: 2, 11, 461, 121507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -153 + 151. Let w be 3\/(1\/(12\/9)) - r. Solve -w = 2*v, -2 + 1 = 4*l + 3*v for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, c: 6}. What is prob of picking 2 c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 12:52 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fourty-eight fifths of a millennium?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 455193479 to the power of 1\/2, to the nearest integer?\nAnswer: 21335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 7:29 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n*p**2*r - 74*n*p + 2*n*r**2 + 2*n*r + 413*p**2*r**2 - 5*p**2*r - 36*p**2 - 34*r**2 wrt r.\nAnswer: 4*n + 826*p**2 - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**5\/20 + w**4\/12 + 3589*w**2. Let i(v) = -41*v**2. Calculate d(i(g)).\nAnswer: -5043*g**4 - 82*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*j**2 + 27*j**2 - 10*j**2 in the form u + m*j + q*j**2 and give q.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by 113?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 1\/2 (b) -105.05 (c) 3\/2 (d) 47 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33653, -67311, -100981, -134663, -168357, -202063?\nAnswer: -235781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 q when two letters picked without replacement from {l: 17, q: 2}.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2610, -5215, -7806, -10377, -12922, -15435, -17910?\nAnswer: -20341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 2*m + 288. Let n = -68 - -32. Let d = m + n. What is the remainder when 71 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 801396900 to the power of 1\/2, to the nearest integer?\nAnswer: 28309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 18*i - 76. Let n(x) be the second derivative of 1\/3*x**4 + 1\/20*x**5 + 0*x**2 + 0*x**3 - i*x + 0. Find the third derivative of n(j) wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 543593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 5 - 2. Suppose -x*l = -1 - 5. Solve -15 = -l*u - u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 82*c + 302*c + 584*c - 20328 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.2? (a) -209.5 (b) -0.4 (c) -3 (d) 16 (e) -1\/6 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.1 (b) 2\/3 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86 - -53. Sort 3, z, -3 in decreasing order.\nAnswer: 3, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3723343 is divided by 1861595?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + n. Let q(l) = l**3 + 25*l**2 + 16*l - 18. Let y(o) = q(o) - 3*u(o). What is the units digit of y(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, c: 7, t: 2}. What is prob of sequence tddd?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -69335 divided by -68\nAnswer: 69335\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 2:17 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2916)*-1 + sqrt(396)\/sqrt(176))\/((sqrt(98) + sqrt(98)*2)*3 - (sqrt(98)*-1 - sqrt(98))*3)*-6.\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1606083907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*b*i**2*r**2*s**3 + 24*b*i**2*r**2 + 4*b*i*r + 18*b - i*r**2*s + i*s**3 wrt i?\nAnswer: -22*b*r**2*s**3 + 48*b*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 141333013 (base 5) in base 11?\nAnswer: 459825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-5)*b**(-2\/9))\/((b\/((((b**(-4)*b)\/b)\/b)\/b))\/b**11))**(1\/19) assuming b is positive.\nAnswer: b**(-11\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + f = 3*f - 26, 0 = 4*y + 4*f - 28. Suppose 3*s + 2*s = 5. What is the smallest common multiple of y and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 0.064, 0, -3\/2780?\nAnswer: -3\/2780","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0391 * 0.5.\nAnswer: -0.01955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2130 divided by -2\nAnswer: -1065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -62.08526\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j = 24*j + 4690. Let x = j - 2339. Solve -x*o**2 - 98\/5 + 2\/5*o**3 + 126\/5*o = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 3. Let z be r(8). Are -4 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1174*y + 125*y - 1694 - 404 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14572884 - 3?\nAnswer: -14572887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k\/(k\/(k**(-6\/11)*k*k)*k)))\/(k\/(k\/((k\/k**17)\/k)*k))*k\/(k*k\/k**26)*k**(-14\/5) assuming k is positive.\nAnswer: k**(2186\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (14 - (-40 - -29))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*g. Let z = g - 0. Suppose z*b = -b + 10. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.307 and -3?\nAnswer: -0.921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1513.51362us in days?\nAnswer: 0.00000001751751875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u**2 - 2*u - 10. Let o be b(3). Let h = 87 + o. Solve h*p = -9 - 23 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, 3, -443?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - a**2 - 3*a. Give w(-3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 - 494*n + 15972. Determine u(-276).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -5372866.\nAnswer: -16118598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 60 + 15 = 0. Suppose -2*h + g = -5*x, 2 = -h - 3*x - 2. Suppose -h*b + 227 = 4*z, 0*b - 5*b = 5*z - 280. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f - 198 = -48*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 12*a**3 + 3 - 4 + 2 - a. Is o(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 0.3 (b) -41 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2890249, 11560983, 26012193, 46243873, 72256017, 104048619, 141621673?\n\"Answer: -l**3 + 2890244*l**2 + 9*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 401*j - 394824 + 392017 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j - j**2 + 452 - 751 - 56 + 3*j to the form w + s*j + p*j**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1017022, -1017030, -1017036, -1017034, -1017018, -1016982?\n\"Answer: s**3 - 5*s**2 - 1017018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a26 (base 14) to base 13.\nAnswer: 3537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 13) + 0 + (-5 - -10) - (4 - -63).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 2 - 11) + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/((-4)\/876*1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3\/7)\/g*g)\/g)\/g**5*(g\/((g\/(g\/g**(-1)))\/g*g)*g)**28 assuming g is positive.\nAnswer: g**(543\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*k - 1 + 3)*(14*k + 35*k + 21*k).\nAnswer: 140*k**2 + 210*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**18\/q))\/(q\/q**(-5\/3)))\/((q*q**(7\/4)*q)\/(q\/(q\/q**9)*q)) assuming q is positive.\nAnswer: q**(-161\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1256503889 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 408174 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 704061991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1742\/65 + -21)\/((-63)\/2) and 38\/245.\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - 1\/((-16)\/34). Let c = -9\/40 + r. Let x = 137\/120 + c. Which is greater: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.36 + -3.04. Let w = 156 + -159. Let m = w - p. Which is the third smallest value? (a) 5 (b) -1\/8 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -29 - (-24 + (16 - 1) - -2).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 84772474 to the power of 1\/3, to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 3. Give k(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 243 and 117?\nAnswer: 3159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 14*r**2 - 2 + 8*r**3 + 5*r**2 - 17*r**2 to the form k*r**3 + g*r + d*r**2 + m and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9c0 + 3?\nAnswer: -9ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -133260 (base 14) in base 8?\nAnswer: -2414424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 14*i - 1. Let j be p(1). Let v be (j\/(-1) - -3)\/(-2). Solve -13 = -2*q - v*z, -4*z = 5*q - z - 23 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, -52, -3, 0 in descending order.\nAnswer: 7, 3, 0, -3, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u + 12. Let n(j) = -3. Let a(v) = 2. Let t(k) = -5*a(k) - 3*n(k). Let z = -48 - -51. Let y be z*((-2)\/(-3) + -1). Give y*g(w) - 12*t(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zh when two letters picked without replacement from {h: 2, c: 2, x: 1, b: 1, z: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 2*k - 33. Let n be 2\/k - 1316\/22. Let y be (5\/15)\/((-1)\/n). Calculate the highest common factor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 2*y - 2. Let c = 1259 - 1255. Let v = -40 - -58. Suppose -c*a - 5*n + 14 = -v, -3*a - 4*n = -25. Give k(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5022 rounded to two decimal places?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 293160 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1\/3, -214, 2, -3\/8 in decreasing order.\nAnswer: 2, 1\/3, -3\/8, -0.5, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 150*l = -147*l - 51, 2*s - 14 = 2*l for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01341 - 0.07648. Round f to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - t**3 + t**2 - 2 + 2*t + 3 + 0*t**2 to the form f + c*t**3 + k*t + z*t**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**4 + 3*h**4 + 2*h**2 + 4192*h - 1395*h - 1402*h - 13 - 2*h**3 - 1399*h as r*h + m*h**3 + s*h**2 + g + x*h**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v**3 - 9 - 7*v**2 + 2*v**3 + 8*v + 3*v**3. What is z(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1100, -7367, -24376, -57497, -112100, -193555, -307232?\nAnswer: -458501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -6. Suppose q = 3*q + t - 22, 0 = -q - 4*t - p. Calculate the highest common divisor of 91 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -103, -145, -171, -175, -151?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 7745.\nAnswer: -7749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 4, u: 2, t: 1, p: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 274*d - 3*d**2 - 272*d - 4*d**4 - 5 + d**3 + 3 to the form r*d**2 + j*d**3 + g*d + l + n*d**4 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17331 + 15219 = 23*u + 47*u. Calculate the least common multiple of u and 123.\nAnswer: 19065","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-25)\/132925)\/(3\/5). Let r = o + -313478\/717795. What is the common denominator of r and 137\/24?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18 - (3 - (-6 + 1)). Is q at most as big as -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 + (-6)\/(108\/(-333)))*-18?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1182498 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 2. Let n(p) = 6 + 6*p + 0 - 7*p + 5*p. Let q(w) = 3*n(w) - 10*y(w). Let x(v) be the first derivative of 2*v**2 - 4*v - 1. Give -7*q(f) + 4*x(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 8 + 3*h**2 - 5 - 6*h**2 + 4*h. Calculate r(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20ada0 (base 15) in base 9?\nAnswer: -2830756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3615.\nAnswer: 3, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.4 in 1\/5, 0.04, 4.9, -1, 9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-66)\/(-5) + (-20)\/100. Solve -2 = -3*p + 4*h - x, -p - 9 = 4*h for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) - (4 + (sqrt(2057)*1 - sqrt(2057)) + sqrt(2057) - sqrt(2057)))**2.\nAnswer: -88*sqrt(17) + 2073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -1 - 2 + 4. Let m(z) = z + 3337 + 3338 + 3331 + 3340 - 13348. Determine -3*m(g) - 5*u(g).\nAnswer: -3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2723*s - 7925. Determine g(3).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 9315652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, d: 16}. What is prob of sequence dd?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 4:30 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*s - 14 = 0, s + 2 = 2*k - s. Let q = 43681 - 43678. Solve 2*r - k*r + q = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 558, 22, -1474, -4410, -9266, -16522?\n\"Answer: -80*z**3 + 24*z + 614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*n + 17. Is n smaller than 244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 a when four letters picked without replacement from xxxxxaxxax.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -5) + (4 - (7 + 4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w. Let x(b) = 2*b + 14*b + 2*b. What is x(u(y))?\nAnswer: 36*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -35865*q + 1649802. Calculate g(46).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 8 - 41\/12*g**5 + 187\/18*g**4 - 2*g + 26\/45*g**6 - 50\/3*g**3 + 12*g**2 - 5\/126*g**7. Find b, given that x(b) = 0.\nAnswer: 2\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 4*f + 16, -n - f = -5*n + 4. Do -7 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 66 = 7*o - 44, -2*o - 2 = -2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 934920 and 213444.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -74, -80, -68, -32, 34?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of 19\/10*t**5 + 9 - 23*t**3 + t + 1\/6*t**4 + 0*t**2. What is the second derivative of c(g) wrt g?\nAnswer: 228*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/20)\/(36\/(-105)). Is 0 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 127.8 + -128. Sort -8, -2, 11, z in decreasing order.\nAnswer: 11, z, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(13\/2)\/(b\/(b*b**(-14)*b)*b*b))**24)**(-33))**(1\/21) assuming b is positive.\nAnswer: b**(2244\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002013918265 rounded to seven dps?\nAnswer: -0.0000201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 12:03 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 225135 or 225137?\nAnswer: 225137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c**4*f + c**4 - 148*c**2*f + 4*f - 6568 wrt c.\nAnswer: 8*c**3*f + 4*c**3 - 296*c*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - -2)*0\/(-3). Suppose a = j - 2 - 3, -56 = -s - 4*j. Let z(d) = 4*d - 4. Let p be z(7). What is the highest common divisor of p and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -2 - (4 - -1 - 5)) + -9 + -20\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 349, 484, 619, 754?\n\"Answer: 135*j + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v**3 - 2*v**2 + 4*v - 3. Suppose -2*p + b = -1 - 3, -5*p = 3*b - 21. Let z be k(p). Is 12 a factor of z\/25*60\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4\/3, -3, 0.13, -2\/13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1580 and 3780?\nAnswer: 298620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1017 - 7.8983. Which is the closest to u? (a) 0.04 (b) 0.4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -6*a**2 + 1. Let y(i) be the third derivative of -i**4\/12 - 9*i**3\/2 - 18*i**2. Let n be y(-14). Give s(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v + 6. Let x be z(5). Let i be x + 1326\/(-405) + 2. Let t = i + 2\/27. Put -1\/7, t, -4 in descending order.\nAnswer: -1\/7, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 8 = -4. Suppose -b + 0*b - 3 = -t*i, -2*b - 4*i = -14. Suppose 13 = 2*q - b. Calculate the greatest common factor of 20 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 2*p + 11, n = 2*n - 3*p - 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/26*(-41 - -42).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, w: 11}. Give prob of picking 1 w and 1 c.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 32. Let x = -104 + 77. Let m be c(x). Suppose 0 = -3*v + m*u + 73, 8*v + 2*u = 4*v + 106. What is the remainder when 127 is divided by v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -10*a + 3. Let v(o) = -29*o + 10. Calculate 7*j(f) - 2*v(f).\nAnswer: -12*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 12*d + 44. Let m be n(14). Let s(w) = -3*w**2 + 53*w - 56. Calculate the remainder when 35 is divided by s(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1793864?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1*4\/1*25\/20\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.4 (b) -5 (c) 0.3 (d) -1\/8125\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2160728 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*z - 33*z + 14*z)*((z - z + z**2)*(5 - 2 - 1) + 10*z**2 - 17*z + 17*z) - 1 + 1 - z**3.\nAnswer: -625*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 231 and 512281?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*(16\/6 + (-4 - -1)). What is the second derivative of -2*y**x + 5*y**2 - 7*y**2 - 16*y wrt y?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 5:20 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of w**4\/2 - w**3\/3 + w - 3. Determine q(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/5 + 112086*y\/5 - 448184.\nAnswer: -2*(y - 56023)*(y - 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**2 - 2*o**2 - o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of g**2 + 3*g - 1. Let d be (25\/50)\/((-3)\/36). Give k(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/17 (b) 2\/11 (c) -1\/4 (d) -1\/9 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 5*t**4\/8 - 13*t**3\/6 - t**2. Let w = 52 + -49. Let l(d) = 8 + 0 - w*d - 2 - 4*d. Calculate -9*l(a) - 4*s(a).\nAnswer: 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 - 0.37. Let j = -5246 - -5235. Let l = 0.5 + -0.3. What is the second biggest value in j, l, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1494 + 21817. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 131*f - 115*f + 21. Sort 0, f, 8, -2, 3 in increasing order.\nAnswer: f, -2, 0, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2594 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 7*b + 23, -r = -2230*b + 2223*b + 45 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - -4 - (2 + -1). Suppose 0 = -0*d - 3*d + 15. Suppose 5*u = -4*j + 75, -d*j + 90 + 10 = 5*u. Calculate the highest common divisor of j and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 + (1056 - (-35)\/(-5)). Suppose 5*c = -4*b + g, 0*b - 3*b - 633 = -3*c. Is c <= 212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -90 - -141. Let g = c - 26. Solve -i - 4*i = g for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 4. Let o(c) = 5045 - 5*c - 5045. Determine t(o(s)).\nAnswer: -25*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010628241 rounded to 7 dps?\nAnswer: -0.0001063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140819*-1.1.\nAnswer: -154900.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2. Let r be -5*6\/(-15) - 0. Let h(p) = 3*p**2 - 4*p**r + p**2 - 3*p**2. What is h(i(g))?\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*h - 18*h + 3*h + 1748361 = 0. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, v: 3, d: 2, q: 2}. What is prob of picking 2 v and 2 o?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(275) - (sqrt(275) + (sqrt(275) + 0 + 3 - sqrt(275))**2)) + sqrt(275)) - ((sqrt(275) + 1)*6*-4)**2.\nAnswer: -159021 - 5735*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 145*h**2 - 728*h + 17. Let w be i(5). Solve -12209 = w*m - 12195 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2. Let g(t) = -2. Let z(w) = 20*w + 8. Let v(x) = -4*g(x) - z(x). Give h(v(r)).\nAnswer: -400*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 15*i**2 + 19*i + 9. What is the units digit of p(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14213 + 28865. Calculate the greatest common divisor of 18 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 8:56 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-8)\/(-20)))\/(5\/(-1)*24\/1344).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/177 and 23\/190067.\nAnswer: 33641859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8988?\nAnswer: 2, 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -12, 14, -3, -0.4, -47?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zutuuuujjututtu. Give prob of sequence tjz.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 7*v + 16. Let m be q(-7). Suppose -5*s = -s - m. Which is the second smallest value? (a) -0.2 (b) -1\/2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/3821469 and 82\/21?\nAnswer: 26750283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 161252 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/330 and 67\/60720.\nAnswer: 60720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/((-27)\/43) + (-30 - -25). What is the nearest to h in 0.3, 6, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -99d + 50?\nAnswer: -94d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h**3\/5 + 38*h**2\/5 - 38*h\/5 - 12\/5 = 0. Calculate h.\nAnswer: -1\/4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y**2 - 8*y + 3. Let c be w(-3). Which is bigger: c or 1\/29?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 0)*(0 + d + 0) - 1208 + 1208 - 2*d + (-1 + 1 - 7*d)*(4 + 2 - 5)*(-1 + 1 - 1) to p + f*d and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h + 3*h + 0*h + (0*h + 0*h + h + (2 - 7 + 3)*(-h + 2*h - 3*h) - 3*h + 7*h - 2*h)*(21 + 74 - 28).\nAnswer: 468*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -8955.22.\nAnswer: -44776.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 178421 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 304560 by 1880.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}