diff --git "a/data/dm_maths/full_data/74_11255.jsonl" "b/data/dm_maths/full_data/74_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/74_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the units digit of 1971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110001 (base 2) to base 11.\nAnswer: a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbmb. Give prob of sequence mm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 10. Let c be r(5). Suppose -4*i = 5*y - 2*y - 10, -2*y = -c*i - 22. Let h = 9 - y. Solve b - 1 + h = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from {j: 3, d: 4, f: 2}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1484?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p - 20972 = 21*p. Suppose -9716 = -26*t + p. What are the prime factors of t?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 - (68 - (-42 - -118))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0.9. Let r = 0.046 + -0.546. Let d = -779\/7 + 111. Which is the second biggest value? (a) d (b) r (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*k - 16 + 29 + 72*k - 15 as t + j*k and give j.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -2*f**3\/3 - 242*f**2 - 29282*f - 375. Solve d(m) = 0 for m.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**8*(v*v**(-3\/7)*v)\/v*v\/(v**3\/v*v)*v*v*(v\/(v\/((v**(-4)\/v*v)\/v)*v))\/v)\/((v**(2\/5))**7)**(-14\/3) assuming v is positive.\nAnswer: v**(1537\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 916901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + (2 - -1))*19. Suppose n - 3 = -3*b, -3*b + g = n - 8*b. Calculate the remainder when 35 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95, 357, 809?\nAnswer: 1261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -40*r**7\/7 + 7*r**3 + 16. Find the third derivative of y(d) wrt d.\nAnswer: -4800*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 0. Let m(g) = -g + 2. Let b be m(0). Suppose 0 = -90*l + 91*l - b. Solve -x = c*w - 0*x + 12, -4*w - 26 = -l*x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1776920466 to the power of 1\/2, to the nearest integer?\nAnswer: 42154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**5\/60 - y**4\/18 - y**3\/6 - 2*y - 250. Solve p(i) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 208\/303 - 2\/101. Let s be (-2)\/(-2) - (-7)\/(-10). Let u = 1.9 - 1.9. Which is the second biggest value? (a) s (b) u (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3553509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -811.114117 to 2 dps.\nAnswer: -811.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13030 + -1100322331?\nAnswer: -1100303301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 50608.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4108, 8257, 12488, 16867, 21460, 26333?\nAnswer: 31552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 5*o + 1 = 4*s, -2*o = -5*s - 20. What is the common denominator of 94\/15 and (61\/12)\/(s\/(-4))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 46 - 4?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.0535 (b) -0.3 (c) -128\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305296?\nAnswer: 2, 19081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 17*r**2 + 10. Let w(s) = 13*s**2 + s + 4. Let h(g) = 2*u(g) - 3*w(g). Calculate h(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 151 + 15*a - 151 + (-1 + 2 + 0)*(49 - 49 + 12*a) - 1 + 3*a + 1 to the form n*a + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of x**4\/4 - 2*x**3 - 5*x**2\/2 - 3*x + 7. Give q(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2482305299 to the nearest integer?\nAnswer: 1354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 90*c**2 + 3 + 1098*c**4 + 10384*c - 10384*c wrt c.\nAnswer: 26352*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5508 + 5512. Put -6, u, 1321 in increasing order.\nAnswer: -6, u, 1321","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*l**3 - 13*l**3 + 11*l**3.\nAnswer: 34*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 150\/175*(-644)\/(-2). Calculate the greatest common factor of 92 and p.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37\/4 or 1532?\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16649390 divided by -3329878.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 224 and 21028?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**8\/84 + b**5\/20 - 13*b**2. What is the third derivative of m(l) wrt l?\nAnswer: -240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 + 2*w - 1. Let f be t(-2). What are the prime factors of 636\/14 + f\/(-7)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87940071.\nAnswer: 3, 9771119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-76)\/95)\/((-1)\/1530*3). What is the greatest common divisor of 72 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24303971?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 125*y - 11. What is c(1)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5249?\nAnswer: 29, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**2 - 660263408*l + 27246735496485904 = 0. What is l?\nAnswer: 82532926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*a + 134 = 0, 2*a - a + 5 = 0. Suppose -5*i - 3*b = -2*i + d, 5*i + 86 = -2*b. Is i smaller than -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010110010101000100 - -11111011?\nAnswer: -1010110010001001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 166803 and 338.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/2 and 41\/6880.\nAnswer: 6880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 476566?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1229\/84 + 179\/12. Let b = -11.1 - -10.2. What is the nearest to 0.1 in u, 0.3, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/4)\/(1 + -2). Suppose 3*f + 5*t = 43, -v*t = -0*t - 4. Solve -f = -u - 3*p, -3 = -4*u + u - 3*p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*y + 50 = 33*y. Let v(m) = -21*m - 129. Let h be v(y). Calculate the greatest common divisor of h and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 65*r - 2. Let t be q(65). What is the fourth smallest value in -5, 1\/11, 1\/16, t?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 7. Let x(o) = 10*o - 7. Let y be x(i). Let w = 48 + y. List the prime factors of w.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*w = -32, p + w = 5*p - 52. Suppose 7*j - p = 16. Solve 3*y - j = 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*l**2 - 4*l + l**2 + 4*l**2)*(-423 + 1037 - 101) in the form y*l**2 + d + z*l and give z.\nAnswer: -2052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -182 (c) -3 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q. Let d(w) = -w**2 + w - 4. Let v(b) = d(b) + 3*o(b). Let x = 0 - 3. Calculate v(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1463\/1254*(2\/4 + (-210)\/20).\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40.2 + 40. Let p = 9.9 + -10. Let d be 69\/189 + (-4)\/18. What is the closest to p in 4\/9, d, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2089*q + 8 = -2 + 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 114 = 2*w, 3*d + 51 + 58 = 2*w. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 31325*v + 219268. Determine g(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36729 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -17 (b) -9 (c) 5 (d) -3.9 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.22 and -189.\nAnswer: 41.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -0.5, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 252\/(-1302) - 670\/(-1860)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 36 = -6. What is the greatest common factor of 14 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2 = -x, -4*x + 16 = -n + 3*n. Let z = x + -2. Let w(y) = -y**3 + 3*y**2 + 5*y - 6. Give w(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -7 + 7*o + 11*o**3 + 9*o**2 - 4*o**3 - 2*o**3 - 4*o**3. Let m be f(-8). Calculate the greatest common divisor of 1 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -137\/3 - -46. Let z = 44\/3 + -14. Factor 0*g**2 - v*g**5 - 1\/3*g**3 + 0 + z*g**4 + 0*g.\nAnswer: -g**3*(g - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 98\/2465 (c) -3\/16 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(325)*2)**2 - (0 + sqrt(13) + 1).\nAnswer: -sqrt(13) + 1052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttlxxlxxbt. Give prob of picking 1 l and 2 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 23*v + 8 = -27*v, -p - 5*v + 47 = 0. Calculate the greatest common factor of 9852 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121105, 242199, 363293?\nAnswer: 484387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) 1\/4 (c) 1 (d) -3 (e) -8 (f) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -99.77583?\nAnswer: -199.55166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 342357991 to the nearest integer?\nAnswer: 18503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 5*u = -48. What is the highest common factor of 144 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 0.011614.\nAnswer: 0.0011614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6067724.\nAnswer: 2, 13, 116687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2079 - 9*r - 3*r**2 - 2079)*(18 + r - 18)*(-2*r**2 - r**2 - r**2).\nAnswer: 12*r**5 + 36*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -545 - 64?\nAnswer: -5a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*k**4 + 5 - 11*k**4 - 11*k**4 + 4*k**2 wrt k.\nAnswer: -1128*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 18*r**2 + 7. Let c be (5\/(-10))\/(2\/18)*4. Let z be o(c). Find the second derivative of 7*g**3 + 6*g - 4*g**3 - 5*g + z*g**3 wrt g.\nAnswer: 60*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.4 (b) 0.058 (c) -3\/2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2980069 and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 3388 - 3183 = 0 for y.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 29*x**3 - 3*x**2 - 2*x + 2. Let r(s) = -59*s**3 + 5*s**2 + 3*s - 4. Give -5*m(b) - 3*r(b).\nAnswer: 32*b**3 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3804674102 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssqqswssssssqqqk. What is prob of picking 1 w and 1 s?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3147354 rounded to two decimal places?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53 or 982594?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 23*y + 21. Is z(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t + 28*t + 4 = -g, -11 = 3*g + 5*t. Let p = 5 + -2. Let j be (4 + -10)*(-3)\/(-2). Put j, p, g in decreasing order.\nAnswer: p, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 3*l**4\/4 + 4*l**3\/3 - 11*l**2\/2 + 6*l + 5911. Let c(u) = -5*u**3 - 7*u**2 + 21*u - 11. Calculate -6*c(y) - 11*t(y).\nAnswer: -3*y**3 - 2*y**2 - 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 9*q**2 - 2. Let b be t(9). Let o(y) = -2*y**3 + 2*y + 2. Does 7 divide o(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 divided by 240453?\nAnswer: 331\/240453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvxvdjjjjjxxxjvvdjj. Give prob of sequence vv.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h + 4. Let r be (-3)\/(0 - (-4)\/((-24)\/9)). Let a(z) = 1 - 6 - 3*z - 4 - r. Suppose 4*l + 11 = 3*l. Determine l*g(y) - 4*a(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 6*y - 3. Let k be o(-6). Let b be k*1\/(-3) - -1. Suppose 2*h - 12 = -4*x, 3*h = 5*x - b*h - 15. Solve x*s = -0*s + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/32*(-12)\/1. Does 14 divide b\/(-15) - 469\/(-35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 - 12*t + 17. What is f(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1431442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -109 + 9834*m**3 + m - 4914*m**3 + 2051 + 685 - 4919*m**3 as d*m**3 + k*m + v + i*m**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1676673.\nAnswer: 3, 62099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 2315?\nAnswer: -2315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 10*q + 126*q + 323*q + 251*q + 95*q to d + y*q and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 128271526 to the power of 1\/3, to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5*-622.81121\nAnswer: 3114.05605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 9:23 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29807?\nAnswer: 41, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13.43 at most 4\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*j - 32. Suppose 5*c - 18 = j. Suppose -2*w + 3 = -3. Solve w*a + c = 5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7*x - 56 = 0. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - (-2)\/5*-5)*14. Suppose -l = l. Let d(f) = -f**3 - 40*f**2 - 366*f - 49. Let m be d(-26). Solve -5*n + s = -m*y, -n + 3*y - 2 = -l*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -7. Let n be m\/9 + (-2)\/(-3). Solve -1 = -2*l + n for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - 12. Let h = m - -47. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00018662 rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 4*m + 0 - 7 = -2 - 4, -38*d = -m + 37 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bm when two letters picked without replacement from {g: 4, y: 2, b: 1, z: 1, m: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 7*k**2 - 17 + 4*k + 3\/2*k**3. Let y(f) be the first derivative of z(f). What is the derivative of y(h) wrt h?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -388, -3, 175.\nAnswer: -388, -3, 2, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*s - 3*v + v, 2*v + 10 = s. What is the second derivative of 3*z + 2*z - 2*z**2 + s*z + 9*z**2 wrt z?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = i + 3410. Is i a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(1 + (-1 - -1)). Let y be r + 5 + 9\/(-3). Suppose -111 = -5*a - y*w, w - 4*w - 36 = -2*a. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - 16) + 33 + 49 + -46\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30120*g - 30143*g + 207 = 0. Let 51\/2*o - g - 15\/2*o**2 = 0. Calculate o.\nAnswer: 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**4\/3 - 1004*t**3 + 293566*t**2 - 1752368*t\/3 + 291560 = 0.\nAnswer: 1, 394, 1110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6177*w = -27551*w - 1888768 for w.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 902*q - 7199. Calculate x(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 65*m - 62*m - f - 36, m + f = 4. Let h(r) = 4*r - 6. What is the least common multiple of m and h(6)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -2 + -12 + 11. Let b be w\/(-3) + 23\/(-3). Let v(d) = -127*d - 9. Let k be v(b). What is k rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i**2 + 11*i + 82. Let y be j(-6). Calculate the common denominator of -21 + 17 + (-4)\/(y\/157) and -103\/24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 641532 or 9623002\/15?\nAnswer: 9623002\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -298 + 298 + 2125*i**2 to n*i**2 + c + u*i and give n.\nAnswer: 2125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 25411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 108780 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 12*b**2 - 26*b + 14. Calculate v(-14).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -1 + 1)\/2. Suppose b + i = 3*i + 3, v = b + 4*i - 3. What is the third derivative of -b*n**6 - n**2 - 2*n**2 + 2*n**2 + 4*n**6 wrt n?\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(7)*-6 - sqrt(112)*4)*1.\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/1)\/(3\/4*3824\/239).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6792137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2277674475 and 138?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/9 < -5\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3dada2 - -4dd?\nAnswer: -3da8a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -3*u - 10. Factor -3*d**4 + d**u + 2*d**4 + 3*d**3 - 3*d**3.\nAnswer: -d**2*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 216*g = -221*g + 8591, -2*g = -i + 8584. What is the highest common divisor of 243 and i?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 55342, -4, -0.163?\nAnswer: -0.163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 2850*k - 80711. Determine f(28).\nAnswer: -1695","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 - 3133005*g - 6265990.\nAnswer: -5*(g + 2)*(g + 626599)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18.3 + -18. Let i = -19.9 - -21. Let q = i + -1.1. What is the third smallest value in o, q, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 + 49. Solve -t = t + y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*s - s + 6, -5*s - 30 = m. Let c = s - -5. Let x = -534 - -534. Put x, c, 1 in decreasing order.\nAnswer: 1, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - 71 = -87. Solve 2*i - 10 = -q*s - 2, 0 = 3*s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 3:46 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -8 (b) 2\/11 (c) 2\/3 (d) -3\/2 (e) 0.029 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (1 + sqrt(2) + 5)) + sqrt(72)*-1.\nAnswer: -6*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -1193?\nAnswer: -1193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 6. Suppose -2*v + 4 = g. Suppose 4*t - 11 = v. Solve t*c + 3 = 2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5201 (base 15) in base 2?\nAnswer: 100001110101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122 + -130313312211?\nAnswer: -130313312333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, -11, -43, -75, -107?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g**2 - 21*g + 1. Let v be k(6). Suppose -5*d = 2*l - v, 5*l + 10 = 2*d - 3*d. Calculate the greatest common factor of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 = -28*c - 99. Which is smaller: -12 or c?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25.403631 - -0.135.\nAnswer: -25.268631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 80, -8\/5, 0.6.\nAnswer: -8\/5, 0.6, 4, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**4 - 97*p**4 - 65*p**4)*(7*p - 7*p - 3*p + 1).\nAnswer: 477*p**5 - 159*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15\/26 - 463\/65. What is the common denominator of 68\/195 and x?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 3, 12 in ascending order.\nAnswer: -1, 2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-1*-1 - -6*(sqrt(68) + sqrt(68)*1))\/(3*-1*sqrt(576)).\nAnswer: -13*sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -37. Suppose i = 2*d - d. What is the greatest common divisor of 7 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-6)*755848\/(-17660).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-54)\/(-45))\/(1\/50). Calculate the greatest common factor of x and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z. Let t(b) = 92*b**2 + 88*b**2 - 174*b**2. Give t(y(v)).\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 98*c**2 + 4157*c + 389. Determine x(130).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*q + 19071*q**2 - 18873*q**2 - 27*q in the form d*q + c*q**2 + a and give c.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-14) - 104\/(-28). Let p = -8886\/13 - -176199\/260. Calculate the common denominator of 1 - b - (-122)\/(-40) and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70903 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 9 + 73. Let g(o) = -o**2 - 9*o - 8. Calculate g(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*12*(-10)\/(-16)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12115*z**2 - 3 + 0 - 2 + 4.\nAnswer: -12115*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 77805?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.15 and 94.\nAnswer: -14.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 16*b + 14. What is p(-4)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 36094830, 72189671, 108284512, 144379353?\n\"Answer: 36094841*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3\/3 + 15622*j**2\/3 + 2285929*j\/3 + 4509362\/3 = 0. Calculate j.\nAnswer: -143, -2, 15767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-234)\/(-351)*9\/4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 13\/4, -1\/4, 156, 5, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**5\/13 - 8*j**4\/13 - 4*j**3\/13 + 16*j**2\/13 + 2*j\/13 - 8\/13 = 0. What is j?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/5 or 146?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x. Let c(f) = -2*f. Calculate -3*c(o) + 3*v(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 1599?\nAnswer: 1598.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -1. Let k = p + -3. Suppose -2*h + 5 = 4*x + 23, h + 5*x + 24 = k. Solve 5 = -u + h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.166 and 128982.\nAnswer: 128981.834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2829 and 8.\nAnswer: 22632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7252 is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 8*q + 15 = 0, -2*j + 3 = -q. Sort -0.4, -0.01, 1, j, 3\/2 in decreasing order.\nAnswer: j, 3\/2, 1, -0.01, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/469 and 107\/670?\nAnswer: 4690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + sqrt(95)*-6)*-6 + sqrt(95)*-2*3)\/(sqrt(45)*-3 - (-6*sqrt(25))\/sqrt(5)).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -72, -102, -140, -186?\n\"Answer: -4*q**2 - 18*q - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/(-4) - 1)*96 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2 + 3 + 0*h - h + 0*h. Let x be t(-6). Suppose x = z - 1. What is the smallest common multiple of 14 and z?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 200 and 46450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 1) + (0 - 5). Suppose 4*j - 4*m = 2*j + 2084, 0 = -5*m + 5. Find the common denominator of s\/36*j\/(-20) and -55\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 + 231*z**2 - 453*z + 225.\nAnswer: -3*(z - 75)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -311 - 23031013300?\nAnswer: -23031020211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 7*f = -4*k - 12, 0 = -2*k - 4*f + 20. Suppose k*s = 111 + 9. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m**3 - 8*m**2 - 4*m + 2. Let g be l(-3). Let f be 2 + (0 - (-4)\/2). Calculate the remainder when (20\/f)\/(1*1\/g) is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 45*i**2 - 21*i**2 - 25*i**2. Let c(t) = 5*t - 4. What is u(c(q))?\nAnswer: -25*q**2 + 40*q - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 bigger than 127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**3 - 83*f**3 + 148*f**3.\nAnswer: 60*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3389212297.\nAnswer: 127, 191, 139721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355675642.\nAnswer: 2, 7, 373, 68111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 933, 932, 931?\nAnswer: 930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - -0.3. Let z = -0.6000001 + f. Round z to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29 and 23.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.739 and -0.06?\nAnswer: 0.679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + 1\/((-6)\/(-42)). Let y = 5 + -2. Suppose -62 + 79 = 61*f - 105. Solve f = -4*b + h*n, -4*b + 3*n = -y + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 3:13 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 + -3 - 9 - ((1 - (-10 + 6)) + 2)?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 81411456 a multiple of 2931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 37, 123, 261, 451, 693, 987?\n\"Answer: 26*r**2 + 8*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 - 6*o + 12. Let a be d(-4). What is the greatest common divisor of a and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p - 13. Let j be f(8). Suppose -5*v - j*b = -417 + 109, 4*v - 264 = 2*b. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w. Let z = 6 - 7. Let b(k) = -k. Let o(v) = v**2 + 8*v + 9. Let g be o(-6). Calculate g*y(i) + z*b(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 6*o - 86. Let n be z(-13). Solve 5*p - 10 - 5 = -n*t, -4*t - 6 = -5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -409340 divided by -5?\nAnswer: 81868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 - 11*f - 1. Let k be u(-11). Let h = 183 + k. Suppose 5*a + 57 = i, 2*a - h = 3*i - 271. What is the remainder when i is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275299*c - 234 = -275292*c + 2*x, -8 = -4*x for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*q - 1)*(-2 + 0 + 4) + (-2*q + 0*q + 3*q)*((3 - 6 - 6)*(2 - 10 + 3) + 0 - 4 + 2).\nAnswer: 37*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2 - 2*l**2 - 27*l + 106*l - 33*l - 37*l. Give b(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33115, 132403, 297879, 529543, 827395, 1191435, 1621663?\nAnswer: 2118079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16887 equal to 15371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104 + (-11615)\/230 - (-21)\/(-2).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9 (b) 25\/41 (c) -4 (d) -3 (e) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24062?\nAnswer: 2, 53, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-20)\/30*3. Suppose t*v + 913 - 4941 = 0. What are the prime factors of v?\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**10\/3360 - k**6\/72 + k**4\/6 + 3*k. Let c(h) be the third derivative of d(h). What is the second derivative of c(l) wrt l?\nAnswer: 180*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3845 divided by 4141\nAnswer: -3845\/4141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 6. Suppose 3*d = 0, -4*m + 2*d = -0*d + 20. Let u be 3 + 2 + m - 2\/(-8). Which is the closest to 2\/7? (a) 2 (b) x (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-7 + 16)\/((-3)\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 7*p - 8*p - 8*p - 7 - 5. What is the units digit of r(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -20*d + 31. Determine t(3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 0 + (-3 - -5). Suppose v*j = -j + 249. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 615566019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 d when two letters picked without replacement from dzkhy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -12*d**3 - 16*d**2. Let z(n) = n**3 + n**2. Let q = -53 - -65. Let h be 12 - q\/3 - 4. Let m be (0 + 1)*(20 - h). Give m*z(i) + u(i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 6*l**2 + 235*l - 181. Calculate the remainder when 371 is divided by d(-40).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 2*z - 3*b + 52 = 0, -2*b + 8 = 0. Let m(q) = -q**2 - 12*q - 5. Is 9 a factor of m(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b9 (base 12) to base 16.\nAnswer: -11d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19539 to the power of 1\/2, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 10616162200?\nAnswer: 10616162164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 111022296, 111022297, 111022298, 111022299, 111022300, 111022301?\n\"Answer: j + 111022295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*f**2 - 543*f**2 - 1327*f**2 - 159*f**2.\nAnswer: -2112*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/8 - 6427*g**2\/2 + 1136085*g\/2.\nAnswer: g*(g - 25530)*(g - 178)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11d37 (base 16) to base 2\nAnswer: 10001110100110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0347710267 to 4 decimal places.\nAnswer: 0.0348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2487184*a + 2487263*a = -5767 for a.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4266, 4299, 4314, 4293, 4218, 4071, 3834?\n\"Answer: -3*a**3 + 9*a**2 + 27*a + 4233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + i = 351. List the prime factors of i.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9*(-2)\/10)\/((-111)\/(-740))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b**2 - b**2 + 27*b**3 - 26*b**3 as d + l*b**3 + r*b**2 + y*b and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21698536407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005667 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n - 5. Suppose 5*s + 0 + 25 = 0. Let o be t(s). Solve z = -4*z + o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -11*d**2 + 46*d. What is the remainder when 373 is divided by y(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v + 2 + v - 5*v + 2*v**4 - v**3 + 3*v**3 as l*v**3 + p*v**2 + c + f*v**4 + w*v and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1c2707 (base 13) to base 9\nAnswer: -1316105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + -19)*(8\/(-36) + 0). Is o != 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -23*u + 21. Solve 0 = -4*x + 3*y - 21, 3*x + u*y = 13 - 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 204 + -194. Suppose 5*h - f = 0, 5*m + h = 306 + 796. Calculate the greatest common divisor of 88 and m.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2196803753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d - 769 + 3494 = -875. Solve -34*j - 11*j - d = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -2*y**7\/7 - 7*y**6\/3 + 79*y**5\/5 - 121*y**4\/6 - 32*y**3\/3 + 36*y**2 + 3*y - 504. Determine x, given that z(x) = 0.\nAnswer: -9, -1\/2, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1591, 3174, 4757, 6340, 7923?\n\"Answer: 1583*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/1 + (30\/(-4))\/3. Put a, 6\/5, 5\/2, -0.2 in descending order.\nAnswer: 5\/2, a, 6\/5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19422*a + 1094020 + 187129 = 8969*a - 479093 for a.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1462?\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 157658?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -613.183849 rounded to 1 dp?\nAnswer: -613.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/((-450)\/(-140))*6\/4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366 is divided by (-64)\/(-416) + ((-128)\/(-13) - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -41. Suppose -v = 2*t + 3*v + 60, -2*v = 10. Let f = 182 + t. What is the highest common divisor of x and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 8 = -3*w + 2*o, 5*w - o = 0. Suppose -2*s = -s + w. Let z(n) = n + 4. Let k be z(s). Solve -4 = k*q - q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 4 in decreasing order.\nAnswer: 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 - 889094127*h + 889094127*h.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100212001 (base 3) in base 9?\nAnswer: -110761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 55*f + 3 = -57*f, 4*f = -l - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -603*a**2 + 24*a - 13. Let m(d) = d**2 + d - 4. Let n(c) = -4*m(c) + w(c). What is the second derivative of n(i) wrt i?\nAnswer: -1214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from puuyhuhunush. What is prob of sequence hn?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o. Let f(d) = 4 + 18*d**2 + 6 - 10. Give c(f(s)).\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1. Let a be i\/3*(-4)\/8. Find the second derivative of m + m + a*m - 3*m**5 + 2*m wrt m.\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**3\/9 - 24755*q**2\/9 + 34571933*q\/9 - 3916646459\/3 = 0. What is q?\nAnswer: -26097, 671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318195.\nAnswer: 3, 5, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/3283 and -43\/60207.\nAnswer: 28237083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**3 - 3 + 3)*(-r**2 - r**2 + 3*r**2) - 81*r**2 + 2*r**5 - 79*r**2 - 5*r**4 - 2*r + 158*r**2.\nAnswer: -r**5 - 5*r**4 - 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -31677, -31672, -31665, -31656, -31645, -31632, -31617?\n\"Answer: m**2 + 2*m - 31680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from qwxloxpp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2398 and 763.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8998, 5, -1418, -4 in descending order.\nAnswer: 5, -4, -1418, -8998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 136 (base 10) to base 16\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b - 5. Let k be t(10). Suppose 5*v + 2*g = 12, 0*v - g = -3*v + k. Suppose v*z + 3*m - 16 = 0, -3*z + 8 = -m - 5. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 380 and 3705.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 630, -2\/5, -2 in descending order.\nAnswer: 630, 1, -2\/5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**5\/30 - 4*a**2. Let b(h) = 0. Calculate h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22004 (base 5) to base 13.\nAnswer: -8b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q = 16*q - 6*q + 54 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5088 and 2592.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*q + 707 + 133 = 0 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2152)\/(-532) + -13 - -9)\/(6\/14).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 130*g + 1678, 36*g - 2*n = 48*g - 14*g - 18 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2283850047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2886514 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvrcqvrqrqcggrqrcxc. What is prob of sequence rgc?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1747595177?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 700*d - 387*d - 386*d in the form c + q*d and give q.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 8)\/2 - (-11914)\/(-2254). Which is the closest to -1? (a) f (b) 4 (c) -5 (d) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -32, 3\/5, 1118?\nAnswer: 1118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 5, 0 = -3*b - n + 1 + 3. Let f be b + (-3)\/9*1. Which is greater: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 961575325 to the nearest integer?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-2) + 0*(-2)\/(-18). Solve -2*d = -n*d - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 109925 - -1497962.\nAnswer: 1607887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/(-6)*((-6834)\/68)\/(-67)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 0*d + d)*(-2*d - 51 + 114 - 119*d**2 - 62).\nAnswer: 238*d**3 + 4*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23699 + 102*o**2 - o + o - 23699.\nAnswer: 102*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -6475, 0, 4 in decreasing order.\nAnswer: 24, 4, 0, -6475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q + q - 13*q + 5*q. Let x(t) = 2*t**2 - 1. Let r(s) = 16*s**2 - 9. Let l(a) = 4*r(a) - 36*x(a). Calculate l(z(h)).\nAnswer: -128*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -1\/3*k**3 + 0*k + 5\/2*k**2 + 53 + 62\/5*k**5 + 0*k**4. Find the third derivative of o(x) wrt x.\nAnswer: 1488*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f**3 - 2*f**2 - 2*f - 1. Let q be y(-1). Suppose 3*j + 21 = 5*k, -3*k - 7*j + q = -4*j. Solve 5 = -k*h + 14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 3, -1789, -4, -26, 0 in ascending order.\nAnswer: -1789, -48, -26, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4 = 17. Suppose y*d - 16 = 3*d. Suppose -v = -5*v - k + 29, d*k - 18 = -2*v. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -4*r + 51. Suppose 2*v - 3 = r. Let y be (-231)\/(-12)*1 + (-11)\/44. Calculate the greatest common factor of y and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c**3 - 2*c**2 + 15*c + 119. Let l(b) = -b**3 - 8*b - 1. Give 2*l(n) + y(n).\nAnswer: -6*n**3 - 2*n**2 - n + 117","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98501191 to the nearest integer?\nAnswer: 9925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6fb668 (base 16) to base 15\nAnswer: 999397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2*s + 2. Let r(k) = 2702*k + 4. Let m be r(s). What is m rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62854 rounded to the nearest 100?\nAnswer: 62900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003006541 rounded to five dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.06 (b) -8\/3 (c) -14 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 367 + -365. Let z(d) = -28*d - 22*d - 21*d + 72*d - f. Calculate z(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*w - 37 + 45 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2244.\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from cii.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 9*q**2 + q + 8. Let k(o) = -2*o + 3. Let i be k(6). Let u be c(i). Let n = -3 - u. Put n, 1, -3 in increasing order.\nAnswer: -3, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**2\/13 - 320*b\/13 = 0.\nAnswer: -160, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 3*l - 11. Let u be z(-5). Let o = u - -24. Let c be o*1*(-1)\/3. Do c and 4\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/19 - (-23996)\/10640) + (-147)\/84?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3752*b**3*s**2 + 56*b**2*s**2 - 2*b**2*s - 1 wrt b.\nAnswer: 22512*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l**2\/2 - 783*l\/2 - 1574 = 0. Calculate l.\nAnswer: -4, 787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6}. Give prob of picking 3 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*a + 14*a - 42. Let z be 24\/(-52) - (-5 - a). Is z > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 252838976.6 to the nearest ten thousand.\nAnswer: 252840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 6*j - 3. Let g be q(-5). Let o be 3\/(-6)*(1 - 1). Suppose o = -3*y - 2*y. Solve -g*d + y*d = -8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 <= -5900\/191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1024 = 7819*d - 7787*d for d.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 572 = -93. Is 38 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 471*g**2 + 1425*g + 1410. Calculate f(-474).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4994.04 + 4994. What is the closest to -3 in c, 1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6*j - 27. Let v be p(6). Suppose -g + 4*g = -v. Let i(m) = -6*m**3 - 2*m**2 + 2*m + 4. What is the tens digit of i(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -368 = 3*s - 5*w, 2*w = -2*s - 204 - 36. Let z = s - -175. Suppose 3*f - z = -21. What is f rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 4)*(-6*d + 2*d - 122*d).\nAnswer: 1008*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v**2. Let s(z) = z**2. Give a(m) + 6*s(m).\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1800? (a) -139 (b) 1\/2 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 >= 5663\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 29481 = 1093. Suppose 4*a - y - 42397 = 0, y + 3500 = a - p. What is a rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -527 + 531. Let -8\/3 + 2\/3*p**5 + 38\/3*p**3 - 50\/3*p**2 - 14\/3*p**r + 32\/3*p = 0. What is p?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/8)\/j)**(1\/9)*j**2*j*j*(((j\/(j\/(j**(-8\/9)\/j*j*j)*j))\/j)\/j)\/j assuming j is positive.\nAnswer: j**(1\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 3*u + 75 = 0, -14*u = 288*z - 289*z - 40 for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264767 - 14148 = -93*o + 388639. Calculate the remainder when o is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10246, 26892, 49940, 79390?\nAnswer: 115242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmjmmmmmm. Give prob of sequence mjm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7069 - -7074. Solve -6*z + 7*z = a, 10 = -5*q - 3*z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3727740, -7455641, -11183542?\n\"Answer: -3727901*s + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14.35 and -1.54553.\nAnswer: 12.80447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1)*(100\/(-24) - -4).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 4*t - 39, 2*t - c + 47 = 56. Calculate the smallest common multiple of 4 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 928 + 944 + 883 - 2551 + 52*j. Give r(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266756708?\nAnswer: 2, 66689177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-18 + (17 - 8) - (-3 + -5)) - -82.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1340 - -5?\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3051 - 3049. Solve -5*a - 14 = -8*a - f, -3*a + 17 = -u*f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l**3 + 16*l**2 + 10*l + 7. Let y be b(-3). Let u(p) = -p**3 + 14*p**2 - 13*p - 16. Give u(y).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 297 - 299. Let g(d) be the third derivative of -d**4\/8 - 7*d**3\/6 + d**2. Let x(b) = -b - 4. Let u(r) = -3*g(r) + 5*x(r). Determine u(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yufffyf. What is prob of picking 3 f and 1 y?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 17220998 and -2.\nAnswer: 17220996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*h + 34*h + 1597005 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113732527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -15. Let o(m) = -r*m - 3 + 1 + 4*m - m**2. What is o(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -255 - -381. Suppose -3*x - 219 = 3*g - 0*x, -2*g - 162 = -2*x. Let i = k + g. Calculate the greatest common divisor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 12*o + 15. Let j be p(13). Let w be (-4 + 1 + j)\/1. Put w, 0, 3 in increasing order.\nAnswer: w, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -616*i + 2218 = -2710 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: What is 183667271 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 2 + (-1 - (1 - -7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -7*h**5\/15 + 1669*h**2 - h + 8. Let p(u) = 3*u**2 + 1 - 1. What is p(x(o))?\nAnswer: 2352*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 + -1 + 2)*69\/(-6). Suppose -d*g = -44*g - 30. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 60983475.\nAnswer: -1\/60983475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zgggzgjejzzjg. Give prob of sequence gj.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 155922 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**3 + 0*x**3 + 12*x**3 + (-7 + 0 + 2)*(-3*x**3 + 2*x**3 + 2*x**3) + x**3 + 2*x**3 - 2*x**3 - 4*x**2 - 2 + 0*x**3 + x**3 + 0.\nAnswer: 6*x**3 - 4*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -320056 < -1280223\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*h - 220 - 2564. Suppose -166 = -4*y + h. Is y a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42 + -8 - -25) + 42?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**5\/60 - w**3\/6 + 684*w**2. Let d(c) = 4*c**2 + 7. Give 2*d(u) + 14*g(u).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.25 - 9.25. Let s = -36.2 - -40.2. Which is greater: s or z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11405578 to the nearest one hundred thousand.\nAnswer: 11400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 645 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.091 - -0.191. Let k be 6622\/(-495) - 4\/18. Let q = k + 66\/5. Which is the third biggest value? (a) y (b) q (c) 4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 704*b**2 - 795*b - 12. What is the tens digit of r(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 5610, -1.05, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p - 28. Let l be c(6). Suppose u = 3*u - 2*f + l, -5*u = 3*f - 19. Calculate the highest common factor of 16 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11*(-504)\/(-3465))\/((-14)\/15).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/104*-3 - (394\/(-104) - -7).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdxg when four letters picked without replacement from {n: 5, x: 1, g: 1, d: 1, v: 1}.\nAnswer: 1\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*v - 8*v - 1 - 4*v + 3 - 7*v**2 as c + m*v**2 + t*v and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2366729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*1*sqrt(288) + 2.\nAnswer: 2 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 18 = -6. Let z(p) = -2*p - 19. Let q be z(m). Suppose -4*y - 4*n = -24 - 4, -y + 13 = -q*n. What is the smallest common multiple of y and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137380 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 38*v**2 + 1410*v + 1878. Give a(24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**6*v)\/v**(2\/3))\/(v*v**2)**6 assuming v is positive.\nAnswer: v**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-85) - 7052\/(-697).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.7 + 18.7. Let c = 14 - u. Let i = c - -7. What is the third smallest value in i, -4, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 g, and 1 u when three letters picked without replacement from {z: 2, q: 4, k: 1, c: 3, g: 6, u: 3}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14806367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 18 = 30*u - 29*u, -3*u - 16 = -2*k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -542 + 547. Suppose 0 = -c - 1, 0*c = y*g - 3*c - 453. Does 33 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1083 - -1079. What is the closest to 281 in v, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -347747.\nAnswer: 1390988","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 23 = 5*j, 3 - 4 = j + 5*m. Suppose o - j = -o. Solve -v = o*v + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49044*r = -49047*r - o + 321, 4*o - 542 = -5*r. Let j = 13 + 7. Calculate the remainder when r is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 11307645\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 92, 0.1, 178.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-9))\/(c**(2\/7)*c) assuming c is positive.\nAnswer: c**(61\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 4*f**4 - 1508*f**3 - 27468*f**2 + 254852*f + 4527848 = 0.\nAnswer: -17, -13, 13, 394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4699653?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 21 = -21. Calculate the remainder when 59 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 47*j + 4. Let v be o(1). Let n = -30 + v. What is the remainder when n is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -235932 + 3.3.\nAnswer: -235928.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 11*r**2 - 7*r - 15. Let q = -8 + -3. List the prime factors of x(q).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/4 + 29709411*y\/2 + 882649101966921\/4.\nAnswer: (y + 29709411)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-1 - -1 - -3) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 8*i + 5. Let o(v) = -4*v**3 - v. Let b be o(-1). Suppose 0 = b*y - y - 32. What is the units digit of f(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 2*w - 324 - 143, 0 = -3*m - 4*w - 461. Is m < -156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwb when three letters picked without replacement from {w: 1, b: 3, v: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*a + 18*a + 36*a = -65. Suppose 0 = 3*s - 8*s + 50. Calculate the remainder when s is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -364 + 625. What is the highest common factor of r and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**3 + w**2 - 1. Let f be o(-1). Let l = f - -7. Let t(u) = 3*u - 5. List the prime factors of t(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 349151 and 62402806.\nAnswer: 686430866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 606?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-3))\/((-1)\/(-6)). Suppose -3*j + 2*j - n*c = -14, 0 = 2*j + c - 13. Sort j, 3, -4.\nAnswer: -4, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -137 - -139. What is the third derivative of 96*p**2 - 52*p**3 - 12*p**c - 21*p**3 - 17*p**3 wrt p?\nAnswer: -540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) -0.2 (c) 0 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zrr when three letters picked without replacement from rrrzrzrzrrrrrrrr.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*m = -787 - 158 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8b + -9?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -7. Suppose 8 = m*n, -2*n - 2*n = -4*h - 4. Calculate the remainder when 16 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1452 divided by 484\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 - 45. Calculate the remainder when -1 + 2 + c*6\/6 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2834 - -2840.1. Is g >= -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 1)\/((-2)\/(-3)). Suppose 0*p + 19 = 3*p + 2*t, -4*p - 8 = -4*t. Let r = b + p. Solve 4*c + 3*h - 6 = -r*h, -c + 2*h + 7 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.565536 milligrams?\nAnswer: 0.000000000565536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 2, 282, -81 in descending order.\nAnswer: 282, 2, 0, -3, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 6*x**2 + 7*x + 8. Suppose 20*g + 56 = 12*g. Calculate f(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40450565, 80901148, 121351733, 161802320, 202252909?\nAnswer: 242703500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-131)\/655*(-15)\/6\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(2\/17)*z)\/z**(1\/6))**(-15)\/((z\/z**(-1))**(-26)\/(z**(-3\/4)\/z*z*z**2)) assuming z is positive.\nAnswer: z**(1631\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 234627264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9652 + 4360 + 4335)*(18*o + 25*o + 3*o - 7*o).\nAnswer: -37323*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 2*v + 5*v)*(2 + v - 2) + (-v + 4*v + 0*v)*(-3 + 3 + v) + (-5 + 5 - 5*v)*(3*v - 5*v + v) + 5*v**2 + 31*v**2 + 0*v**2 + 0*v**2 - 3*v**2 + 5*v**2.\nAnswer: 47*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.5 (c) -1 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 less than 78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -12. Suppose 6*t - 7 = 4*t - v, -5*v = 15. Let o = 238 - 3568\/15. Which is the nearest to 1\/2? (a) i (b) o (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 130\/3 + (-2)\/(-3). List the prime factors of 1\/1*g\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 15) to base 5.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jofofoxxfmmjfff. What is prob of picking 1 x, 1 m, and 1 o?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-6))\/((-9)\/27). Let h be d\/(-1 + 14\/12). What is the units digit of 2\/h - 77\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 + -38. Which is the nearest to z? (a) -1 (b) 0.5 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - -11 - 2) + 0 + -2 + 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**2\/3 + 36632*k\/3 - 122140 = 0. What is k?\nAnswer: -36642, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 u when three letters picked without replacement from {q: 2, n: 1, u: 6, x: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 102 in descending order.\nAnswer: 102, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 281733608 to the power of 1\/3, to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 15*v**2 + 28*v - 13. Let a be g(13). Suppose a*l = -4*w + 9*l + 236, -3*w = 4*l - 172. Is 16 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3486635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 129635\/4351 and 31 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -10*c - 5, -62 = -5*k + 2*c. Suppose -54 + 21 = -11*y. Solve -d = y*d + k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(2\/3)\/((-2)\/6). Solve i + 4*r = 16, 4*r - 4 = -6*i + z*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5281 = -2*v, -286*k + 283*k - 5271 = -2*v. What is the thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6948)\/(-137802)*119\/14?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 361 divide 1635888190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/6 + 70\/15. Suppose 2*m - 13 = -5*z, m - z + d - 8 = 0. Calculate the smallest common multiple of m and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 27*k - 73. Let z be h(-25). Let j(s) = -s**3 - 13*s**2 - 53*s + 33. Is j(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a minute in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7940.000004021 - -7940. What is y rounded to 7 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -22*l - 352. Let b be n(-16). Solve 5*y - 2*x + 23 = b, 4*x + 14 = y - 3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.04 (b) -12 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11695*o**2 + 51130679*o - 51130679*o.\nAnswer: 11695*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2317831, 0, 3\/5 in ascending order.\nAnswer: -0.2317831, 0, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - l - 3*k + 27870009 = 0, 0 = 2*l - 5*k - 18579985. What is l rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9\/2, 7, -0.4, 0.3, 8.1, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170, 174, 178?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1222*n - 1112300 = -1257*n. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 30, 22, 14?\n\"Answer: -8*o + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2460272407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -468, -932, -1396, -1860?\nAnswer: -2324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f - 10*f + 7*f. Solve -3 = -3*v + 2*k + 2*k, -2*v + 5*k + 9 = f for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003559278 to 5 dps.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 25*k**2 + 2*k + 34. Let z be t(-25). Let a = 62 - z. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - ((0\/(-2) - 0) + -2). Let t(h) = -7*h**3 + 6*h**2 + 6*h + 6. Let f(r) = -r**3 + r**2 + r + 1. Determine d*t(w) + 6*f(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 10 + 5*k**3 - 8 + 7*k**3 + 0*k**3 + 3*k**3 + (3*k**2 - 3*k**2 - 4*k**2)*(-2*k + 2 - 2).\nAnswer: 23*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.565411472 to 2 dps.\nAnswer: 0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 8 = -0*x. Let g(l) = l - 4. Let k(f) = -2*f + 9. Let m be 1 + 1 - (-11 - -4). Suppose 2*j - m - 1 = 0. Calculate j*g(r) + x*k(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90448241.\nAnswer: 13, 73, 191, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8423329?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35\/4? (a) -4\/7 (b) 4\/11 (c) 0.26 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*m - 1138 = -b, 0 = 5*b + 4*m - 1901. Is b a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 59150549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i + 5*i**2 + 0*i + i - 16*i**2 - 22*i**2 in the form s*i + q + h*i**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - 15. Let p = 7 + w. Let r(l) = -l + 20. Let c be r(10). Calculate the greatest common divisor of p and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + q + 50, 3*i - 4*i + 2*q + 406 = 271 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 410669695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -23 - 6*b + 8*b + 8*b + 9. Let h be q(2). Solve 4*u - 16 = -m, -2*m - 2*u = -h*m + 10 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -q - 6. Let n be (q\/4)\/5*144. Suppose h + 58 = -3*t + 77, 3*t - 49 = 5*h. Calculate the greatest common divisor of n and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20348894 smaller than 20348894?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 222800088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 931 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 274 = -8*d + 6*d, 4*d = -w + 244. Let y = w - 262. Is y at most as big as 23\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8000 - 8014. Let s = 0.276 + -0.276. Let n = 0.3 - 0.1. Sort n, -1, j, s in decreasing order.\nAnswer: n, s, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 1\/4, 3, -14, 58?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2 + 14 = 0. Calculate the remainder when 71 is divided by u\/((-3)\/((-36)\/8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3540 and 42070481?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -7*q**2 + 0*q - 1\/20*q**5 + 1\/12*q**4 + 0 - 1\/6*q**3. What is c(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a + 258 = 15*a. What is the remainder when a is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 412503 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 430 - 132?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m**3 + 7*m**2 - 7*m + 8. Let l(y) = 5*y**3 - 6*y**2 + 6*y - 7. Suppose 0 = -2*n + 4*q - 20 + 44, 4*q + 12 = 0. Give n*p(h) + 7*l(h).\nAnswer: -h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280*z + 280*z - 2*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3579 is divided by 1298.\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 274?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -6 (b) -1\/4 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1036 - 118 - 222 = 43*g for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -211667*s - 2540004. Determine b(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3890403*g**2*q*s**3 + 42*g**2*q*s - 5*g*q + 3*g*s**3 + 217902*q*s**3 + 9*s**3 wrt g.\nAnswer: -7780806*q*s**3 + 84*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - -3*(sqrt(21) + sqrt(105)\/sqrt(5)))\/(sqrt(343)*3).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5 + 17 = 0. Suppose -r*k - 2 = 6. Which is the nearest to 1? (a) 0 (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 328.\nAnswer: 5\/328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of 2*i**6\/15 + 23*i**5\/5 - 50*i**4\/3 + 3*i + 118. Factor j(t).\nAnswer: 4*t**2*(t - 2)*(t + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198324*t + 198321*t - 23 + 0 - 3 + 5.\nAnswer: -3*t - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/2)\/((-4)\/(-8)). Let g be 10\/a + 2\/(-6). Let w(u) = u**2 - 3*u + 4. Give w(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6501 divided by -3?\nAnswer: 2167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71*q**5*x**3 - q*x**2 + 31*x**3 wrt q.\nAnswer: 1420*q**3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -287127.224 rounded to the nearest one hundred?\nAnswer: -287100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6\/(v*v**(-4\/3)))**30\/(v*v\/(v\/(v*v*v*v*v*v*v\/(v*(v*v*v*v\/v**(-1\/16))\/v*v)*v*v))*v\/v**(-4\/5))**(4\/13) assuming v is positive.\nAnswer: v**(48861\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Let x(l) = l**3 - 2*l**2 + 2*l + 1. Let w be x(2). Suppose -5 = -0*u - w*u. Is n smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9162 + -9162. Which is bigger: 13734 or o?\nAnswer: 13734","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110553717?\nAnswer: 3, 36851239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/25 of a litre in millilitres?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.014 + 0.027. Let f = o + 26.959. Let g = f + -26.948. Round g to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 10642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27411036?\nAnswer: 2, 3, 97, 23549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -131, 3 in descending order.\nAnswer: 3, 0, -1, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7099, 7101, 7101, 7099, 7095, 7089?\n\"Answer: -a**2 + 5*a + 7095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + 43 + (-60)\/(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8326694 rounded to 2 decimal places?\nAnswer: 0.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 2:27 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2219*l + 80 + 12102*l + 419351*l**2 + 5917*l + 360774*l**2.\nAnswer: 5*(395*l + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-36)\/(-45))\/((-1)\/1). Let a = -1 + 1. Sort -5, f, a in descending order.\nAnswer: a, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 s when three letters picked without replacement from dasrssdaad.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a**2 - 25*a - 7. Let y be o(6). What is the units digit of y\/(-78) - 815\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 2*d - 1. Let r(y) = y. Let l = -27 + 27. Suppose 19 = -5*b - 3*o, 0 = 3*b - 4*o - l - 6. What is b*r(x) - p(x)?\nAnswer: x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k + 4. Let s be g(1). Suppose 0*n + 4*n = s. Let j(y) = -y**3 + 12*y - 3*y**n + y**3 - 14*y + y**3. What is j(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 12*b - 11. What is r(12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 - 2.2. Suppose 2*a + 2*a = -4. What is the nearest to 0.1 in 0.3, a, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 11:58 PM?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-324)\/63)\/(-1))\/((-2)\/7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7185 - -7185.00144032. Round n to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5*w - 4. Let g be r(-5). Suppose -g = -0*u - u. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22134095.\nAnswer: 5, 1951, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 67860.54l in millilitres?\nAnswer: 67860540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 47 (b) -1 (c) 4 (d) -22\/81 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 19*t**2 - 25*t + 519. Let s be y(19). Solve -s = 4*j + 7*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(1\/2))**15\/((n*n**20*n)\/n*n*(n**9*n)\/n) assuming n is positive.\nAnswer: n**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -2 + 204\/112*(-1 + -3).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 795827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {s: 6, m: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.855223368 rounded to five decimal places?\nAnswer: -0.85522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 320 and -600726.235.\nAnswer: -600406.235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4163, -4162, -4161, -4160?\n\"Answer: u - 4164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-143*y**3 + 8946*y - 8946*y)*(2 - y - 2).\nAnswer: 143*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**3 + 36*d**3 - d**3)*(-13*d + 1 + 20 + 11*d).\nAnswer: -62*d**4 + 651*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 271 = 6*q - 2*v, -2*q + 2*v + 194 = 0. Let a be (-6)\/(-8) - 466\/(-8). Let s = a - -3. Calculate the greatest common factor of s and q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 19 - 54*x + 10 + 15*x + 0*x**2 + 2*x**2. What are the prime factors of r(24)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 366 and 13814914.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 113 = -317701*l + 317694*l, h - 2*l = -38 for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 26*s + 11. Calculate the remainder when 1236 is divided by x(-24).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 (base 9) in base 15?\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39*k*r**5 + 12*k*r**4 - 80*k*r**2 + 9*k wrt r?\nAnswer: -2340*k*r**2 + 288*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -64 + -139?\nAnswer: -1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217 = 342*d - 373*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/26*(-10 - -8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6120026?\nAnswer: 2, 11, 149, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 34*w + 17. What is v(1)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 7*h - 24. Suppose 0 = 2*r - h. What is the first derivative of 5 - q**r - q**3 - 3 wrt q?\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*z - 4984 + 81304 = 0. Does 45 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 0.3, 0.1, 55, 161, -0.3 in decreasing order.\nAnswer: 161, 55, 0.3, 0.1, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 + 83 = 3*b. Let x(l) = -2*l - 32. What is x(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11073881?\nAnswer: 7, 13, 73, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3465 - -658351\/190. Let t(f) be the second derivative of 1\/57*f**3 + 0*f**2 + 25*f + 0*f**4 - m*f**5 + 0. Factor t(c).\nAnswer: -2*c*(c - 1)*(c + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1279 - 365. What is the common denominator of 7\/18 and (p\/108)\/((-4)\/(-6))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -304009?\nAnswer: 304007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*f = 14*f + 6148. Is 38 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 l when three letters picked without replacement from {l: 4, n: 1, j: 4, f: 2, v: 6, h: 1}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -7 + -3 + 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 3*l - 82. Let b = l - 54. What is the third derivative of 392*x**b + 23*x**2 + 11*x**4 - 392*x**3 wrt x?\nAnswer: 264*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 2 = 2*n - 3*y, 0 = n - y - 5. Let a(c) = -c - 5*c**2 + c + 10*c**n. Let s(w) = 2*w**2. What is a(s(f))?\nAnswer: 20*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44167616?\nAnswer: 2, 690119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 274 = 4*g, -3*g + 162 = -3*v - 0*g. Let a(o) = 5*o**2 - 2*o - 8. Let n be a(5). Let d = v + n. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -6*o**3\/7 - 44099652*o**2\/7 - 11576061000768*o + 23152147201344 = 0.\nAnswer: -3674972, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 102007 divided by -1326\nAnswer: -102007\/1326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -399.794 - -399. Let o = n - -0.79399514. What is o rounded to seven decimal places?\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1935 = 3753*w - 4140*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -6. Let m = 21.8 + -5. Let c = m - 17. What is the nearest to q in 1\/3, c, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, k: 1, a: 2}. What is prob of sequence kab?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59457 = 9*b - 59403 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -961*s**4 + 3*s**2 + 26.\nAnswer: -23064*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 4\/5, 0.46?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.84301 millilitres in litres?\nAnswer: 0.02684301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4336353*a**3*h - 4*a**3 + 50*a**2*h + 249*a**2 - 5*a*h - 4*h + 2 wrt a?\nAnswer: 26018118*h - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3e4d (base 15) in base 13?\nAnswer: 60ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by 6.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**2 + 4*z - 13 + 4*z**3 + 13 - 2*z**3 to n*z + r + v*z**2 + f*z**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1160464 and 235422.\nAnswer: 2378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001100001011110 (base 2) to base 6.\nAnswer: 2123554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005206271 to 7 dps.\nAnswer: 0.0000521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-2)\/10*(-10)\/(-8).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4399602*m = 4399722*m - 6840 for m.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -s**6\/30 + 3*s**4\/4 - 11*s**3 - 2207*s**2 + 348*s. Differentiate m(q) with respect to q.\nAnswer: -4*q**3 + 18*q - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324 and 1668411?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 85741389 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve -380 = -4*g - 102*f - 4342, 43 = g - f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 97 + 3600?\nAnswer: 3697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 - 51*f - 37. Let w be v(-25). Let k be (8 - 2)\/(-3 - (-90)\/w). Is k greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 8.\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 4:59 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 144 and 10578816.1.\nAnswer: 10578960.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-105105)\/4095)\/((-7)\/(-3)). Let r(w) = 3*w + 2. Let g(s) = -6*s - 3. Let f(h) = -2*g(h) - 5*r(h). Determine f(j).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 9 = 0, 0*p + 4*p + 4*f = 32. Suppose 5*y = -4*d - 53 - 45, 0 = 5*y + p*d + 100. Is 2 + 16\/(-6) + (-12144)\/y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g + 3*r = -2, -6 = -3*r. Suppose 5*a = -g*o - 1, 3*a + a + 8 = -5*o. Solve 0 = a*h - 1 + 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 86522 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -2\/3*a**3 + 1\/3*a**4 + a**2 + 0*a + 0 - 1\/60*a**5. List the prime factors of s(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 287394 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**3 + 0*u + 0*u + 1 + (2*u**2 - 3*u + 3*u)*(-4 + 4 - u).\nAnswer: -5*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -16*s**2 + 69*s**2 - 23*s**2 - 13*s**2. Let b(m) = 36*m. What is x(b(p))?\nAnswer: 22032*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163356 (base 7) to base 16.\nAnswer: 7eae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 12 = k. Suppose 4*i = -k*c - 4, -3*i - c = c. Let g be (-174)\/203*14\/(-6). Solve -g*v + i*j + 16 = -0*j, -9 = 2*v + 3*j for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2732836 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4 - 56*y**3 + 615*y**2 + 6300*y - 40500.\nAnswer: (y - 30)**2*(y - 5)*(y + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 6*z - 9 + 7.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26265 by -1545.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -914 (base 10) to base 7.\nAnswer: -2444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 14) in base 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (y - 5*y - 2*y)*(-4 - 2*y + 5 + 18)*((2*y - 4*y + 0*y)*(-2 + 7 - 2) + 1 - 1 - 2*y) in the form i*y**2 + s + n*y + j*y**3 and give j.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -608 - 59 = -t - 5*i, -4*t - i = -2706. Let m be (-20)\/(-30)*-15*t. Round m to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.7 + 27.3. Let d = 34.9999979 - b. Round d to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 p when four letters picked without replacement from pbbibpippbbbppibpi?\nAnswer: 49\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 167, 334, 501, 668, 835, 1002?\n\"Answer: 167*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13488 + -5681. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + 6 + -1 + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491510188?\nAnswer: 2, 13, 17, 556007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*a - 15 = -0*a, 3*p - 9 = -2*a. Suppose 3*b + 15 = -2*i, -p*b - 14 - 1 = 0. Let l = -259 - -263. Solve -u - l*u = i for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-280)\/20 - 1992\/(-132)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zb when two letters picked without replacement from zbzzzzbz.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6359462 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 865871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 4, 4\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 48 + 20 = -5*n - c - 17, 0 = n - 7*c - 70 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k - 6. Let n(c) = -3*c + 5. Let a(d) = 2*n(d) + 3*v(d). List the prime factors of a(9).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + u + 6. Let t be (2 + -7)*3\/(-5). Let m(g) = 3 + 5*g**2 + g**3 + 0 + g**u - g**t + 3*g. What is m(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**2 + 1 - 10*m**2 - 13*m**2.\nAnswer: -17*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1579 * -679.2\nAnswer: -1072456.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1820353 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j + 87. Suppose -17*r - 189 = 100. Let o be p(r). Solve -w = 4*z - 13, -o*w + 4*z = -3 + 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1479 minus 5283?\nAnswer: -6762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 659 - 296. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 8.912. Let t = -0.948 - k. Round t to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 >= -207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)*4*3)**2 + (2*sqrt(605)*4 - sqrt(605)) - ((sqrt(605) - (sqrt(605) + -2*sqrt(605)*-4) - (sqrt(605) + -5 + -1*sqrt(605)))**2 + 1).\nAnswer: 957*sqrt(5) + 48374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 - -3?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -7. Suppose -3*p = p - 3*h - 2, -2*h + 14 = 5*p. Let t be (-40)\/(-48) + (-1)\/p. Which is the closest to t? (a) -5 (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**4 - 7*s**5 - 2*s - 4*s**4 + (-5*s + 6 - 6)*(s**3 + 2*s**4 - s**3).\nAnswer: -17*s**5 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 1:53 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1110 - -50?\nAnswer: -1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2543714062 to the nearest integer?\nAnswer: 1365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3952 - 3952. Which is the second smallest value? (a) -0.1 (b) t (c) 0.9 (d) 2 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 41 = -2*p - 5*u, -2*u + 76 = 4*p. Let d = p - -20. Differentiate d*g**2 + 30 + 5 - 27*g**2 wrt g.\nAnswer: 28*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7779, 7775, 7769, 7761, 7751?\n\"Answer: -f**2 - f + 7781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g - 9. Let k(u) = 5. Let r(l) = 5*k(l) + 2*t(l). Let j = 0 + 6. What is the remainder when r(j) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.036 - 0.536. What is the fourth biggest value in -3, 3, -10\/9, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3 + 4 - 2 + 32*j - 33*j. Let g(u) = -20*u**2 + 29*u + 2. Let o(f) = g(f) + 2*n(f). Find the second derivative of o(i) wrt i.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34679*z + 25469781 - 25469781 to y + v*z and give v.\nAnswer: -34679","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3*x - 26, 5*x - 2 = -4*z + 28. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*b**4 - 35*b**3 - 1264*b**2 + b - 9848647?\nAnswer: 60*b**2 - 210*b - 2528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4783\/118 greater than -4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131 - 128 = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.26 + 1.3. Let f = l - 0.24. Let n = 0.9 + 0.1. Which is the second smallest value? (a) n (b) -2\/7 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2))**(-1\/56)*v**(4\/5)\/v**(-5)*(v*v**0)**(31\/4)*(v\/(v*(v\/(v**2*v))\/v))**(39\/5) assuming v is positive.\nAnswer: v**(2589\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 9*a = 20. Let c(u) be the third derivative of -u**2 + 1\/6*u**a - 2\/3*u**3 - 1\/60*u**5 + 0*u + 0. Factor c(j).\nAnswer: -(j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21545, -21352, -21127, -20870, -20581, -20260, -19907?\n\"Answer: 16*o**2 + 145*o - 21706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -47*g + 375. Let n be x(17). Let w = 419 + n. Let d = -3.1 - -3. Which is the second biggest value? (a) w (b) d (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-54868)\/(-87))\/86?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 0*b + 1\/2*b**2 - 17. Give m(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 2*v + 4. Give o(-11).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 + 65\/(-18)*(10 + -8). What is the third smallest value in -36.3, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 118536 and 1056.\nAnswer: 474144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 6:00 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1645 + -1637. Solve g*k = -6*k + 42 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 344 and 946?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 680651973?\nAnswer: 3, 223, 339139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xy when two letters picked without replacement from vymjvdxmx?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-1 + 1) - 16. Let p = -19 - q. Put p, 4, -1 in decreasing order.\nAnswer: 4, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-14) + 120\/21. What is the second biggest value in -1, z, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7352 * -0.2.\nAnswer: 1470.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1815\/605)\/((12\/26)\/(-2))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2) - 2\/(-4). Suppose -u + 3 = l. Solve -3*b - 4*m = m + 16, -l*b = m + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2341*w = 2342*w - 8, -w - 118519 = -3*t. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -98079\/18809 - -1\/5374. What is the common denominator of a and -27\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 14*c**2 + 1 - 4*c**2 to the form w + d*c + m*c**2 and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003250406 to seven decimal places.\nAnswer: -0.000325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 134*a = -129*a + 45, 2*a + 26 = -4*t - 88 for t.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 73640*l**3 + 76283*l**3 - 175161*l**3 + 2*l**3 - 5*l**3 + 5*l**3 + (0*l + 0*l - 2*l**2)*(l - l + 2*l) + 3*l**3 + 0*l**3 - 2*l**3.\nAnswer: -25239*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 0 + 1)*(-8 - -9). Let l = -9 + 13. Put x, -5, l in descending order.\nAnswer: l, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -23 + 8a?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-114)\/912*(-4)\/(-3)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70 - 40. What is the remainder when t is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l - 5. Let z be w(4). Let d(c) = 12*c - 12. Let v be d(6). Suppose 2*o - 4*o - 3*m = -41, z*o - v = -4*m. Is o less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125247 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 350670317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 108600 + a?\nAnswer: 10860a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0404706 and -4?\nAnswer: 3.9595294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(1\/6)*l*l\/(l\/l**6))**(-49)\/((l\/(l**(-1\/4)*l))**12*(l*l\/((l**(-3\/8)*l)\/l)*l*l)\/(l*l**5)) assuming l is positive.\nAnswer: l**(-10813\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-1 - -3))\/(-43 - 27)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -4*z + a, -21*a = z - 22*a - 26. Calculate the remainder when 859 is divided by z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v - 8. Let d(x) = 7 + 3*x - 16*x + 7*x. Let t(k) = 6*d(k) + 5*g(k). What is the smallest common multiple of 5 and t(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -20 - (-5 - (7 - 0 - 3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 2*b**2 + 3. Let z(m) = -70*m + 24*m + 26*m + 18*m. Calculate v(z(o)).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(g + 2*g + 4*g)*(-2 + 2 + 2*g**2) - g - 2*g**3 + g.\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(136) - ((sqrt(136) + sqrt(136)*-2)*5 + sqrt(136)) - sqrt(136)))\/((sqrt(392)*2 - sqrt(392)) + (1*sqrt(24))\/sqrt(3)).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/27*(-27)\/(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(34)\/sqrt(2)*-2 + (sqrt(136)\/(sqrt(128) + sqrt(8)) + (sqrt(153) - sqrt(153)*-1)\/sqrt(9))**2.\nAnswer: -2*sqrt(17) + 2132\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -86 - 4?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7401 = -39*w - 5373. Calculate the greatest common factor of w and 1222.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 a when three letters picked without replacement from dababdabb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 1. Suppose 5*h + 0*h = 4*r + 24, 2*r - 5*h = -22. Sort y, r, -4.\nAnswer: -4, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**5\/20 + q**4\/3 - q**3\/6 + 3*q**2\/2 + 147*q. Give d(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000605 to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -738382118.000169 - -738381790. Let x = m - -328. What is x rounded to 5 dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 95, 91, 83, 71, 55, 35, 11?\n\"Answer: -2*l**2 + 2*l + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 31314.92 decades?\nAnswer: 313.1492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t. Let z(y) = 9*y + 7. Let r(s) = -2*s - 6*s - 3 + 0*s - 3. Let m(d) = -7*r(d) - 6*z(d). Calculate m(i(f)).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -123, -127, -129, -129, -127, -123?\n\"Answer: o**2 - 7*o - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**4 + 707668*k**3\/3 - 6918569*k**2 + 6368162*k\/3 + 4559960 = 0.\nAnswer: -2\/3, 1, 29, 235860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 43476249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*x + 2141 = 1907. Solve 3*c - 17 = v, -x*c + 2*v + 7 + 15 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 88*a + 684. What is v(10)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -573, -37\/14, -389, 4?\nAnswer: -573","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0\/l)**23 assuming l is positive.\nAnswer: l**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -86*u**2 - 21*u - 2. Let w(j) = -63*j + 1. What is x(w(i))?\nAnswer: -341334*i**2 + 12159*i - 109","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 8 = 2*r - 4*t, -5 = 5*t. Sort 2, 5, r, 3 in ascending order.\nAnswer: r, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7565*h**4 - 2*h**2 - 22854 wrt h?\nAnswer: -30260*h**3 - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 7*s - 4. Let b be m(6). Let c(p) = -p - 6. Let y be c(b). Is (-1068)\/(-8)*y\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**9\/60480 - a**8\/20160 + a**5\/20 - 3*a**2. Let o(h) be the third derivative of f(h). Factor o(s).\nAnswer: -s**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**5 + 169*n**4 + 1181*n**3 + 2005*n**2 + 221*n - 770 = 0.\nAnswer: -77, -5, -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14304)\/(-126)*15\/(-170) - -10. Put 2\/5, o, 0.5, -6, 3\/5 in ascending order.\nAnswer: -6, o, 2\/5, 0.5, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383 - 692 + 373 - 838 - 862 - 3*g.\nAnswer: -3*g - 1636","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + 19 + (-6 - -12).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35971464 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-6*-5*-2*-3*sqrt(425)*3.\nAnswer: -16200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -2, -5*b - 3*j - 4 = -0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5 - 60*f**4 + 738*f**3 - 2884*f**2 + 2205*f.\nAnswer: f*(f - 45)*(f - 7)**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3564124 years in millennia?\nAnswer: 0.0003564124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 1.7. Let h = -10 + 6. What is the biggest value in b, h, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -35, 0.3, 1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evj when three letters picked without replacement from hhpjhpevpppjpjjevpv?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -125.0236 from -1.\nAnswer: 124.0236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 23, -1\/6, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a97f6 - -16e?\nAnswer: -a9688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (u - 1 + 1)*(-2 - 2 + 1)*(2 - 3*u**2 - 2) in the form k*u + r*u**3 + m*u**2 + b and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 5 (c) -4\/49 (d) -0.4 (e) 0.007 (f) 0.3 (g) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04561 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 4:25 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -7519749 < -7519715?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1528 + -5.29.\nAnswer: -1533.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -y, 0 = -5*c + 3*y + 30 - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 119120*h - 40 = 119115*h, 2 = -c - h for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -645?\nAnswer: -322.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 78*c**5 - 2589*c - 3191. What is the first derivative of q(w) wrt w?\nAnswer: 1560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3014 (base 6) to base 11.\nAnswer: -549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2 = 2*t, 0 = -o - 0*t - 3*t + 14. Let d be o\/(4\/3288*-4). Let u = 784 + d. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/5665545 and -76\/69945.\nAnswer: 5665545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 2*y**3 - 17*y**2\/2 + 11*y + 11. Let h(t) be the first derivative of n(t). What is the first derivative of h(z) wrt z?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (30 + -5 - -11).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 528976 and 280.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -8*c + 57. Let k be (-12)\/(-2) - -5 - 4. Let p be j(k). Solve p + 5 = 6*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*s = -5. Sort -3, s, -10 in decreasing order.\nAnswer: s, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = 74*x - 51*x + 88 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46*d**3 + 809*d**2?\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16502012 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**5\/4 - 51*z**4 + 3459*z**3\/4 + 309*z**2\/2 - 2703*z + 1734 = 0. What is z?\nAnswer: -2, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/3196 and 19\/110262?\nAnswer: 220524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 32*l = 300. Let i be (l - (-2 + -6))*-1. Solve -19*m = -17*m - i for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142, 590, 1336, 2380, 3722, 5362?\nAnswer: 7300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 14) to base 4.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 4 = 2*u. Let f = 21143 - 549823\/26. Find the common denominator of f and (-207)\/18 + u*-2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 37.29605 and -3.\nAnswer: 34.29605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 6 = -2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/2 - (-15)\/10. Suppose 28 = -83*v + 87*v. Solve v*p = x*p + 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6976452 divided by 332212\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 25*k + 352. Let i be d(10). Suppose g + 0 = -1. Let c be i + (-4 - -2)*g - -132. Calculate the greatest common factor of 17 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 - 7074*i**2 - 3129360*i - 1562912.\nAnswer: -2*(i + 884)**2*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-12) + 6023\/(-380). Is i bigger than -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**3 - 2*a**3 - 3*a**3 + 2*a**2)*(-2*a**2 + 5*a**2 - 2*a**2 + (-5 + 1 + 2)*(4*a**2 + 3*a**2 - 6*a**2) + 15*a**2 - 346 + 346).\nAnswer: -14*a**5 + 28*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 40*5\/(10\/(-4)). What is the common denominator of 2\/(-5) - 236\/q and (-3 - 83\/(-26))*(-16)\/(-32)?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148 + 607 - 152 + 5*s + 123*s - 155 - 149.\nAnswer: 128*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1) + 3 + 1 - (-7 - -27).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9\/12 + -5 + 4\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -198966 divided by -6\nAnswer: 33161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p*p**(-1\/10)*p)*p**(4\/11))**(-3\/14)*(p*p**8*p\/((p\/(p\/p**(-2\/13))*p)\/p))\/(p**0*p*(p*p\/p**0)\/p*p*p*p) assuming p is positive.\nAnswer: p**(109771\/20020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/8)\/(39\/(-104)). Suppose -q + n*q - 5 = 0. Suppose q*t + f - 180 = 0, -2*t + 4*f - 36 = -3*t. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3816900 is divided by 17271.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + y. Suppose 0 = -4*b - y*b + 36. Is 14 a factor of 1140\/27 - 2\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 460 and 1518?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 2:31 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -500*b + 1105*b + 2*b**2 - 605*b.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 2 + 3 = 0, -4*q + 12*p - 15 = 9*p for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 386511.6 months in years?\nAnswer: 32209.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 1:01 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9030645 by 11.\nAnswer: 9030645\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 7*v**2 + 10*v + 37. Let g(h) = -17*h**2 - 17*h - 73. Let p(x) = -5*c(x) - 2*g(x). Factor p(q).\nAnswer: -(q + 3)*(q + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3122573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 3 - 5)*(6 - 6 + 2*u**2) + u**2 + 3 - 3 + 0*u**2 - 2*u**2 + u**2 + (5*u - 2*u - 4*u)*(u - 1 + 1).\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 35*v**4 + 1452*v**3 + 3*v**2 + 7*v - 47596981?\nAnswer: 140*v**3 + 4356*v**2 + 6*v + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002960831 less than -5.46?\nAnswer: -5.457039169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g. Let f(a) = -a. Let o(v) = -22*f(v) - 4*n(v). Let k(s) = 2*s**2 - s**2 - 3*s**2. Determine o(k(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**5 - 78*r**4 - 357*r**3 + 78*r**2 + 360*r = 0?\nAnswer: -20, -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 725047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -47 - -2e?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 521 = -3*l + 4*j, 2*l + 309 = -4*j - j. Let o be (8 + -11)\/((-3)\/l). Let r = 134 + o. Which is greater: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -34 - 32. Let l = w - 32. Let b be 3 + -7 + 3 + l. Solve b = 3*o + 2*q - 15, -o + 4*q - 27 = -6*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 4:21 AM?\nAnswer: 613","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Are 146 and 261 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 73442400 rounded to the nearest 1000000?\nAnswer: 73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 598, 14, 3\/11, 1\/6 in descending order.\nAnswer: 598, 14, 3\/11, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78.1537*0.01.\nAnswer: 0.781537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1434*r**4 - 1317*r**2 - 417*r + 418*r - 1924 + 1322*r**2 wrt r.\nAnswer: 17208*r**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -0.28?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 319 = -9*t + 3*v, 790 = 5*t - 5*v. Calculate the highest common factor of t and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 502391.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - x**2 + 2*x + 217. Let f be z(0). Calculate the greatest common factor of 403 and f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111578272 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**7)**26\/(z*z**(2\/7)*z*z*z*(z\/((z*(z*z**(2\/15))\/z)\/z))\/z))**1 assuming z is positive.\nAnswer: z**(21404\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5361 + 17566. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-4*2*(0 + (sqrt(108) - (1 + sqrt(108))*6)**2 + (sqrt(108) + -4 + sqrt(108)*2 - (1 + sqrt(108) + sqrt(108))*4)**2).\nAnswer: -220000 - 33600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/70830145 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/14*(2 + -18).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280830207 to the power of 1\/2, to the nearest integer?\nAnswer: 16758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45218 by -7.\nAnswer: 45218\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 21*f - 12. Calculate the remainder when g(-19) is divided by -26*1\/(-2) - -2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6514 is divided by -9 + (-1 - (13 + -8)) + 51\/1.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142551 is divided by 71260?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -82 (c) -250\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-12 + 3 + -1 + -7 + 10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7*((-112)\/(-14))\/(-8)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 18 + 6. Let q(h) = 2 - 2 - h**2 + 1 - w*h. Suppose -r = 4*v + 7, 4*r - 24 = 2*v + 2. What is q(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -213, -252, -333, -474, -693, -1008, -1437?\nAnswer: -1998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**7 + 26*i**3\/3 - 29. What is the third derivative of s(d) wrt d?\nAnswer: 840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (12 + -7 + -2 + -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*q, -5*k + 4 + 14 = -q. Let x = 1 - k. Let w(u) = -u - 2. Let p = 28 - 19. Let h(m) = -4*m - 9. What is p*w(t) + x*h(t)?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339*u - 85*u - 85*u - 78*u - 91*u + 5*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**5\/60 - s**4\/6 + 5*s**3\/6 - 9*s**2. What is y(-7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - c + 7 = -90, 5*c = 3*u - 44. Let a = -298 + 324. Let z be a\/14 - (-57)\/399. Solve -u - z = -5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-2)\/(-5))\/(((-486)\/135)\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -31\/3*s**3 + 1\/15*s**5 + 0*s**4 + 0 - s**2 - 1\/60*s**6 - 36*s. What is the derivative of u(b) wrt b?\nAnswer: -6*b**2 + 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = t + t. Let b = -2 + t. Calculate the highest common factor of 48 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (2 - -2 - 7) - -8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 6 - (-52 - -50)) + -27?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 310742 and 310742 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 15*a**2 + 14*a - 35. Calculate z(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1738839293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z + 148 = 137 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 + -24?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 divided by -5?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -92*1\/10 + 9. Which is the nearest to r? (a) -0.5 (b) 13 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24126 is divided by 1545?\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 23242547.1 to the nearest 100000.\nAnswer: 23200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*d + 80*d + 66 = 0. Let m(h) = 60*h**2 - 12*h + 8. Calculate the remainder when m(d) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/4 - 405*i**2\/4 - 2457*i\/4 - 3699\/4.\nAnswer: (i - 411)*(i + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -316 + 334. What is the highest common factor of 666 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b + 3*b + 2*b + (-1 - 4 + 3)*(5*b - 3*b + 0*b) - 124 + 30 + 14*b - b.\nAnswer: 10*b - 94","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1493490?\nAnswer: 2, 3, 5, 49783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3344*y**2 + 0 - 6645*y**2 - 6 + 3333*y**2 + 6 - 2*y.\nAnswer: 32*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*p + 33*p - 26. Suppose -p*m + 1852 = -4*k, 86*m = 90*m - 4*k - 3708. Is 116 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 64*j**2 - 5 + 44*j**2 + (-4 + 0 + 3)*(-2*j**2 - 2*j**2 - j**2))*(3 - 2 + 0).\nAnswer: -15*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17252 - 17249. Solve -2*c = -13*q + 16*q + 20, 12 = -o*c for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.8 + 1. Which is the closest to -1\/3? (a) l (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -77*h - 2586 - 63 - 46 for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 540 - 2277 = -283*s + 810 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 96137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 7:26 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y**2 + 1. Let i be b(1). Let r(u) = u**3 - 3*u**2 - 3*u - 4. Let d be r(4). Suppose d = -c + 3*l - i*l + 26, -4*l = 3*c - 58. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 - 104*o + 41.\nAnswer: -104*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 - -6. Suppose -4*r + y = -17. Let f = -11 - -30. Calculate the greatest common factor of f and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2149 + 34413\/16. Let w be (4 - 2 - 18) + 1. Find the common denominator of s and (146\/60)\/(6\/w).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 951.559 weeks to milliseconds.\nAnswer: 575502883200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6577*l + l**4 + l**3 + 3*l**2 - 13 - 66 - 6577*l - l**2 in the form v*l**4 + f + r*l**3 + g*l**2 + b*l and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 59191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 39160601 divided by 1\nAnswer: 39160601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/((-1)\/((-25)\/40))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01995 to 4 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1 = 0, 0 = -2*n - 0*n + 4*u + 40. Let y = -34 + n. Let v be ((-3)\/2)\/(6\/y). Solve 4*b + v*i + 4 = 0, i + 21 = 3*b - 4*i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -509, -2, -1 in decreasing order.\nAnswer: -1, -2, -509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 53 = 2*z - 9*i, 5*z = -5*i + 220. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 709.1 - 1262.4. Let a = q + 579. Let g = -32 + a. Round g to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/1)\/((-3)\/270*3). Let h be (4\/4385)\/((-48)\/b). Do h and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (4 + -11 + -21).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90106723?\nAnswer: 7, 337, 38197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4038 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 15) in base 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(210) - sqrt(210)*-1)\/sqrt(7))\/(-3*sqrt(726)*2)*-2.\nAnswer: -4*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 y when two letters picked without replacement from {z: 5, t: 3, y: 1, a: 2, p: 5, o: 4}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 115, 4, -37, -2, -6, -4 in descending order.\nAnswer: 115, 4, -2, -4, -6, -37, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 103570407 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2432 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*y = 23, 3*f = y + 31 + 16. Let b be (12\/f)\/(4\/40*28). Factor -3\/7 - b*p + 1\/7*p**2.\nAnswer: (p - 3)*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 6. Let k be y(12). Let w(f) = 5*f**3 - 2*f**2 + f. Let x be w(1). Let v = k - x. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (63\/7 + -10)*(1 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 751 divide 25100544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7132997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266631.\nAnswer: 3, 31, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1331) + -1) - 1*sqrt(1100)*1) + 3 + (sqrt(11)*-1 + -4)**2 + sqrt(11)*2 + -1.\nAnswer: 23 + 66*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4691857 and 33158.\nAnswer: 9383714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -354930 or -354932?\nAnswer: -354930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 44377372 rounded to the nearest 1000000?\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7002 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eep when three letters picked without replacement from eepppelleppppe?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 w when three letters picked without replacement from {w: 12, n: 7}?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 105595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -7*x**2 + 14*x**2 - 9*x**2. Let f(n) = n - n + n + 0. Calculate t(f(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pg when two letters picked without replacement from pppgppppppg.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**5 - 22478*k**4 + 84217560*k**3 - 105215670112*k**2 + 104626439296*k + 630789659232 = 0. What is k?\nAnswer: -2, 3, 3746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 9) to base 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 557429832 to the nearest integer?\nAnswer: 23610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*i - 524 = 273 + 44 for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 168931 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79214, 79211, 79206, 79199, 79190, 79179?\nAnswer: 79166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 189 - 172. Suppose 0 = -z*b + 71 + 65. What is the lowest common multiple of b and 44?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -136 + 107. Let a = -33 - y. What is the closest to -0.1 in a, -1.7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63.024 - 63. Let t = s - -0.476. Which is the third biggest value? (a) -3\/8 (b) t (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (189\/2646)\/((-1)\/(-70)*4)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -236? (a) -2 (b) 5 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-2)\/(-5)) + (-16344)\/(-144). Which is smaller: p or 117?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -269 or -4?\nAnswer: -269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 - (-11 + -119) - 98.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*u - 963 - 15529 = 205*u - 9*u for u.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6971391*k**2 - 8*k + 132009684.\nAnswer: -13942782*k - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 90*v + 85*v - 13, -5*v - 10 = 5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-266)\/76)\/((-2)\/4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from lddddddd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x + 957 = -65*x for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, b: 1, q: 2}. What is prob of picking 2 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4855 + -1.5145. What is the nearest to 3\/5 in m, -5, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a - 1. Suppose 2*y = 4*c - 2*y - 48, -3*c = -4*y - 40. Let h = -11 + c. Give v(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaaaa. What is prob of picking 4 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/94 and 29\/117190.\nAnswer: 5507930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/6)\/(5\/(-10))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 97 + -30. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 822.789992 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/11016 and -143\/66096?\nAnswer: 66096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12\/61 + 304\/305. Let u = -0.43 - 0.07. Sort b, u, -1, 1\/3 in increasing order.\nAnswer: -1, u, 1\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 78 + -53. Let y be ((-15)\/i)\/((-6)\/20). Let b(h) = h**3 + 3*h**2 - 6*h - 3. Let m be b(-4). Solve 4*q + 14 = -y*t, 2*t = m*q + 31 - 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4925 by 29645.\nAnswer: 985\/5929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (43 - 36)) + -6 - (0 - (0 - -48))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 2*v**3\/3 + 1. Let x(t) = -19*t**2 + 2*t**2 + 11*t**2. Give s(x(l)).\nAnswer: 72*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84476 and 588?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2047 - 2041 = -a - 3*g, -4*g = 4*a + 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 64975425 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 13*l + 827. Give h(-54).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 8*p + 12. Let t be d(9). Sort t, 5, -3.\nAnswer: -3, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**3 - 5115*d**2 - 20544*d + 61524 = 0. Calculate d.\nAnswer: -6, 2, 1709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 + 13*u + 4. Let k(p) = 8*p - 18. Let j be k(3). Let b be q(j). Suppose 15*v - 20 = b*v. Calculate the greatest common divisor of 44 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*(sqrt(605) + 2) - (sqrt(605)*1 + -1))**2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -272, -251, -210, -143, -44?\n\"Answer: q**3 + 4*q**2 + 2*q - 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6188 and 748.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 18*u**2 - 14. Let b(x) = -4*x. Determine 28*b(h) + 3*p(h).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -240 * -90.49.\nAnswer: 21717.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -2*k + 5\/3*k**3 + 1\/4*k**4 + 0*k**2 - 6. Let w(u) = u**2 - 19*u + 32. Let g be w(17). Give x(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2505 + -4?\nAnswer: -2509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -144*a**3 + 104*a**2 + 196*a - 3. Determine x(-2).\nAnswer: 1173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 297 - 433 = 0. Let c = f + 290. Suppose -x = -43 - c. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2 - 35*v - 158. Calculate x(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2405 (base 6) to base 3\nAnswer: 210112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 455 + 463102453.\nAnswer: 463102908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 725764 + 2?\nAnswer: 725766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00047488001 to 5 dps.\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -7 (b) -4 (c) -7\/8 (d) -1\/4 (e) 277384\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-3) + 454\/6. Is w - 1\/(-3 + 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29777 divided by -6?\nAnswer: -29777\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 1 = -2*j - 0, 4*j = 2*l + 14. Suppose q = j*q. Let n = q - -6. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*3*sqrt(17) - (sqrt(153)\/sqrt(9) + 0))*1 + -3)**2.\nAnswer: 114*sqrt(17) + 6146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*b - 6 = 0, 4*i - 3*b = 2*i + 5. Suppose 0 = -o - i*p + 29, -6*o + 78 = -4*o + 3*p. Is 21 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by -1027?\nAnswer: 57\/1027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/9 - 1816*d\/9.\nAnswer: -2*d*(d + 908)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l**2 + 4*l - 37. Give o(4).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 320 and 973056?\nAnswer: 4865280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 32*p - 59. Let r be x(-30). Let h(n) = n - 1. Let t(o) = -o**3 + 2*o - 2. Let b = 1 + -4. Give b*h(y) + r*t(y).\nAnswer: -y**3 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*x**2 + 7052 + 19*x**2 - 72*x**2.\nAnswer: -166*x**2 + 7052","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**3 - 5062 - 3*s**3 + 5062.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13410414803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 392 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + 1. Suppose 2 = -5*a + s. Suppose 5*x = -2*p + p - a, 3 = -x. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*(k\/k**(-10))\/k)\/(k*k**(-13)))**(6\/7) assuming k is positive.\nAnswer: k**(144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.0057 and 65.28458.\nAnswer: 64.27888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 260310?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b**2 - 82*b**2 + 59*b**2 + 6*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1612 + -684. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 11. Let w be 2*(12\/m)\/(-24). Which is greater: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3705 is divided by 345.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 8*u**4 - 3471*u**3 + 3471*u**3)*(-2*u + 2 - u + 5*u).\nAnswer: 16*u**5 + 16*u**4 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bybbbbbbbbbbybbybbbb. Give prob of picking 2 y and 1 b.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13370620 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 374? (a) -2\/9 (b) 0.03 (c) -1\/7 (d) 1 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18291156 and 1924?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1972 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -23*s**2. Let v(x) = 114121*x**2. Calculate v(f(g)).\nAnswer: 60370009*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 484 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -101101022021 (base 3) to base 15\nAnswer: -4082d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-one eighths of a microsecond?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -8*g - 5 - 5*g - g**2 - 8. Let d be (12\/(-9))\/((-62)\/(-12) + -5). Let i be r(d). Is i greater than 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 510179.4ml in litres?\nAnswer: 510.1794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3 - 70*(-14)\/(-21))*(-119 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h + 9*h - 9*h - 360*h**3.\nAnswer: -360*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 + 0.311.\nAnswer: 0.391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(-259)\/(-147) - 2\/(-7). Suppose -5*q = -2*x - 2*x - 14, -3*x = -3*q + 12. Let m = x + 4. Sort m, -4, j in descending order.\nAnswer: m, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41.2 + -41. Let q = 1.56 - -0.34. Let k = q - 2. What is the closest to 1 in 2\/5, x, k?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**4\/6 + 2*a. Let t(l) = -2673 + 2673 + 2*l. Determine q(t(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/12)\/((-2)\/669) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**5\/60 - x**3\/3 - 2*x**2. Let m be q(0). Are -2 and m nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 162416494 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469 is divided by 113.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, h: 7, b: 1, e: 1, r: 2}. Give prob of picking 1 b and 1 e.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*5*6\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -101, -116, -117, -98, -53?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 - s + 29 + 2*s)*(-186*s**4 - 278*s**4 - 339*s**4).\nAnswer: -803*s**5 + 8030*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 * -1474.\nAnswer: 36850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 4011.\nAnswer: 16044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9570 - 3*r**2 + 9570 + 4*r - 210*r**3 to n*r**2 + f*r + k*r**3 + p and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 2)*(-4*m - 2 + 2).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o - 40. Give p(-10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + r - 32. What is s(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 240 = 5*v + h, 2*v + 5*h = 127. Let d = v + 223. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*m, t + 3*m - 1 = -t. Suppose 8*v - 68 = 4*v - t*b, -3*b - 85 = -5*v. Solve d = -i + 1, -v + 3 = -2*d + i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1450 - -1513. What is the highest common divisor of b and 1008?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -5, -0.3, -274571?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (148\/(-14))\/((-2314)\/8099) - 132\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1185 is divided by 1170?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(44)\/sqrt(2))\/(sqrt(110)\/(sqrt(40)\/sqrt(4))).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 5*h**2 - 8*h - 8. Let o be f(-6). Suppose -o*q = -9*q + 1015. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*f - 162*f + 16 = 4*u, -3*f = 5*u - 22. Solve 3*x - 2 - 8 = 2*t, 0 = u*t - 2*x + 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 5*l + 4. Let h be y(8). Suppose 2*n = -7 - 5. Let t be (-3)\/9 - 26\/n. What is the highest common divisor of t and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102232 and 416?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113, 356, 729, 1226, 1841, 2568, 3401?\nAnswer: 4334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 14, -4, -1 in ascending order.\nAnswer: -5, -4, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -24*p. Let z(q) be the second derivative of 361*q**3\/6 + 2*q + 306. Give -76*s(g) - 5*z(g).\nAnswer: 19*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -2. Suppose -c + 5*u + 14 = -9, 3*u = h*c - 18. What is the greatest common divisor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*b + 13*b + 8*b)*((-1 + 1 - b)*(-1 - 5 + 3) + 2 + 2*b - 2) - 5*b + 5*b + 5*b**2 to the form i*b + a + w*b**2 and give w.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 77234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -2, -4, 365, -199 in descending order.\nAnswer: 365, 3, 2, -2, -4, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -45*z - 150. Let b(r) = 10. Determine 30*b(k) + 2*o(k).\nAnswer: -90*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27470 is divided by 103?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18648)\/67932)\/(81\/153).\nAnswer: -14\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yfy when three letters picked without replacement from {f: 8, z: 4, x: 4, y: 3}.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 230269201 and 3143?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times -0.1771?\nAnswer: -1.771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 l when two letters picked without replacement from {s: 2, l: 1, k: 4}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 39*i**2 - 9*i - 7. Is r(-13) a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6916 to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**3*l*p**2 + 10*j**3*l*p + 19*j**2*p - 3297*j*l + 9*j*p**2 + 14050*l*p**2 wrt p?\nAnswer: -6*j**3*l + 18*j + 28100*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -12712895.\nAnswer: -5085158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -16*j - 46. Let q be k(-3). Solve -3*u + q*o - 9 = 5*o, 2*u + 4*o = -12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**3 - z - 13 + 13 - 2*z**4 + (-3 + 3 + 1)*(-z**4 + z**3 - z**3).\nAnswer: -3*z**4 - 2*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 15*d - 21. Let p be o(-13). Suppose 0 = 3*h - 2*t, -4*h = -0*h + p*t. Suppose 2\/7*m**4 + 0*m**3 + h + 0*m - 2\/7*m**2 = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.120731 and -1?\nAnswer: 0.120731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 5. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 0*y - 8. Suppose -y*p - p = -85. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3088295.\nAnswer: 5, 7, 88237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {q: 1, b: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 9*t**2 + 12*t + 4. Suppose 0 = v + v + 14. What is the units digit of k(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 2*c - 51. Calculate the remainder when 50 is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.15075 times -109.5\nAnswer: -16.507125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -30*b**3 + b + 1. Let s = -3 - -5. Let w(v) = -v**2 + 2*v - 1. Let n be w(s). Does 10 divide k(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1105 - -1177. Let n(y) = 2*y + 162. What is the smallest common multiple of n(0) and t?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208 a factor of 62410112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2128.102 centuries in decades?\nAnswer: 21281.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3205005 (base 6) in base 11?\nAnswer: -a7729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-9))\/((130\/(-507))\/10). Solve -9*p + w*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -3853 take away -2?\nAnswer: -3851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-18))\/(5*(-12)\/540).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19483134724*l**2 + 1810657704*l + 42068196.\nAnswer: 4*(69791*l + 3243)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*o - 312, 3*w - 15*o = -12*o - 234. Let v = w + 78. Solve 10\/13*g**3 + 8\/13*g - 32\/13*g**2 + 14\/13*g**4 + v = 0.\nAnswer: -2, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 158*w**2 + 8*w + 36. Let y be g(-14). Suppose 6*p = y + 2198. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11853 + 1457 = -5*i. Let b = 5602 + i. Suppose -2*l = -7*l - 5*o + 2890, 5*o = 5*l - b. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 + -45.346634521?\nAnswer: -45.266634521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 448*0.31.\nAnswer: 138.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -261 - -145. Let x = g + 116. Sort 1, -3\/10, -4, x in increasing order.\nAnswer: -4, -3\/10, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -43. Let u(a) = -2*a - 11. Let r be u(-8). What is the highest common divisor of t and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4044*a**3 - 10538*a**3 + 6466*a**3.\nAnswer: -28*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.07035046 * 3.1\nAnswer: -0.218086426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-192)*(-40)\/(-15)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4137, 3956, 3429, 2382, 641, -1968, -5619?\nAnswer: -10486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6477.\nAnswer: 3, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.994227mg to micrograms.\nAnswer: 8994.227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 17 + 9*r + 28*r.\nAnswer: 37*r - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 439.2726 millilitres?\nAnswer: 0.4392726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 21\/11033?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*r - 10*r - 4*r.\nAnswer: -74*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 378 - 374. Let o = -0.131 + 0.231. What is the closest to 22 in 2\/13, -3\/7, s, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40576+-533\nAnswer: 40043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -123268770 and -123268769 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -7) + (-2 - 1 - (-4 + 15))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8722466 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -1 + -2 - (8 - 20)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9\/101 - 935\/4242. What is the common denominator of y and 19\/4?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 345 + -343.1161. Round g to two dps.\nAnswer: 1.88","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, d: 5, s: 1, r: 3}. Give prob of sequence wrsr.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, 3930, -2\/9, -4 in decreasing order.\nAnswer: 3930, -0.11, -2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -127.819 + -67.104. Let h = -0.077 + g. Let q = -194.9999783 - h. Round q to 6 dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -0*m + 20. Suppose 4*l = m*l - 149. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -125*t**4 + 52*t**4 - 175*t**2 + 48*t**4 + 115*t**3 - 275*t**3.\nAnswer: -5*t**2*(t + 5)*(5*t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 21\/8) + 0?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 147*p + 43. Let t be b(15). Suppose 0 = y - t + 95. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 850653950.\nAnswer: 2, 5, 31, 43, 12763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479543076.\nAnswer: 2, 3, 211, 63131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/15*(-2)\/18*45*-1.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*x + 93*x - 2*x**2 + 142*x = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1071, -1304, -3679, -6054, -8429?\nAnswer: -10804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66543 is divided by 50?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13 (b) 5 (c) -4 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus -6975?\nAnswer: 6979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1365*x**2 - 6474 + 1414*x**2 - 6396 + 12870 to s + j*x**2 + r*x and give j.\nAnswer: 2779","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + f**3 + 2*f**2)*(3*f**2 - 4*f**2 + 2*f**2) + (1 - 1 - f**2)*(-2*f**3 - f**3 + 5*f**3) - 2*f**5 - f**5 + f**5.\nAnswer: -3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**2 - 2 + 2. Let n(k) be the first derivative of -k**2 - 830. Calculate n(v(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -128793*o + 155944 wrt o.\nAnswer: -128793","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 57972211?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 9 - 4*d - 39*d.\nAnswer: -43*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bx when two letters picked without replacement from sbblbbblbxsllbblfllb.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54 (base 10) to base 4.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 5*o - 6. Let c be 1*9\/o - -12. Let u be -5*((-48)\/5 - 3). What is the highest common divisor of u and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**9\/45360 - f**8\/3360 + f**7\/840 + f**4\/6 + 3*f. Let c(k) be the third derivative of l(k). Find v, given that c(v) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132, -260, -388?\nAnswer: -516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**5 - 2*r**5 + 7*r**5 + (r - 3*r**2 - r)*(2*r**3 - 2*r**3 + 2*r**3) - 6*r**5 + 3*r**5 + r**5 - 2*r**5 - 16 + 16.\nAnswer: -7*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-30)*(-9562)\/(-4). Let c = 239 - n. Let s = -5549 - -55443\/10. Calculate the common denominator of c and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 38619 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*a, 7*a = y + 6*a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/18 and -97\/18744?\nAnswer: 56232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 1:58 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 240339?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -321, -1583, -3687, -6633?\nAnswer: -10421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206 = 2*y - 4*u, y - 845*u = 5*y - 842*u + 357 for y.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -189 + 196. Suppose 0 = -0*l + 5*l + 5. Which is the closest to l? (a) g (b) 1.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 8*h - 7. Let w be (5\/15)\/((-2)\/(-6)). Suppose -15 = -2*u + w. Is 15 a factor of o(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54059.999944726 + -54060. Round m to six dps.\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 1 in increasing order.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 37520 divided by -7\nAnswer: -5360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**4 - 5*f**4 + 4*f**4)*(4 + 0 + 2*f - 2).\nAnswer: -4*f**5 - 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 3 (b) 0.39 (c) 39\/7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by 89.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-942*d + 3192*d - 8090*d)*(-d - 3*d + 5*d) - 4*d**2 - d**2 + 3*d**2.\nAnswer: -5842*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 72 = 4*s - 87, 2*s = 5*q + 45 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -91789553.35 rounded to the nearest one million?\nAnswer: -92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 239 = -4*g, -4*g - b = -g - 189. Suppose 68 = 5*n - g. What is the least common multiple of 16 and n?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5*c**4 + c**2 + 3*c**4 + 4*c**4)*(-2 + 8 + 33).\nAnswer: 78*c**4 + 39*c**2 - 117","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28045340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 777.30769 to the nearest integer.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -2 + -10 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64546, 258655, 582178, 1035115?\nAnswer: 1617466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 23.7.\nAnswer: -47.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9313*k + 4655*k + 4658*k - 1002*k**2.\nAnswer: -1002*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, j: 5}. What is prob of sequence mmmj?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + w**2 + 6. Let c(r) = r**2 + 5. Give -6*c(m) + 5*f(m).\nAnswer: 5*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbnwwbwwwnbnnbwww. Give prob of picking 2 b.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z + 2*z = 28 - 391 - 342 for z.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5749.7906 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4 = 11. Suppose 4*k + 316 = 4*m, -i*m + 132 = 5*k - 243. What are the prime factors of m?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/7 and (6\/(-10))\/((-485)\/275).\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 63*h - 7 + 5 + 5.\nAnswer: 63*h + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3402401537?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tpnypqtpntnppn. What is prob of picking 2 t?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -76 (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-5\/2))\/(((u\/(u*u**(-4)*u))\/u)\/u) assuming u is positive.\nAnswer: u**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yjy when three letters picked without replacement from {o: 1, y: 4, p: 1, h: 1, j: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 0 = 52. Suppose -8*c - 12 = -4*c. Let f(d) = -22*d - 15. What is the remainder when f(c) is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 72*n**2 - 14*n - 100. Let m be ((-21)\/(-42))\/((-67)\/(-22) + -3). Is d(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + 0 + 2\/(-1). Suppose 6*i + 25 = 49. Suppose l*n - 96 = -i*n. Calculate the greatest common factor of 64 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 1 - 1)*(3 - 2 + 0) + 6 + 12 + 5)*(-4*h + 9*h - h) to d + u*h and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - p**2 + 0*p**2 + 2)*(-8*p - 15 + 15).\nAnswer: -8*p**3 - 16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t**3 - 34*t - 30. Let n be z(-13). What is n rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 1. Let w(z) = -2*z**2 + z. What is -2*n(c) + 2*w(c)?\nAnswer: -2*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20556 or 20557?\nAnswer: 20556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -21*l**3 - 2*l**2 - 3. Determine z(-2).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/9)\/c**(5\/3))\/(c**(-6)\/c**(-22)) assuming c is positive.\nAnswer: c**(-157\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.065 + -96044397.\nAnswer: -96044396.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 11 - -1) + 0 + (3 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7718.355 kilometers to millimeters.\nAnswer: 7718355000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nwj when three letters picked without replacement from jnnwwnnnnjnnnwnnnnnn?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/81 and -47\/9396.\nAnswer: 9396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28393\/15 - -1893. Let 4\/15 - 4\/15*m**2 - 2\/15*m**3 + f*m = 0. Calculate m.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -34*w - 7. Let o(x) = -12*x - 2. Let r(z) = -2*g(z) + 7*o(z). Determine r(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4 - 846*p**3 - 4293*p**2 - 3444*p.\nAnswer: 3*p*(p - 287)*(p + 1)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27338\/9 + -3034. Find the common denominator of g and 26\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 77.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2122 - -115?\nAnswer: 2241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 195204*f**2*y**2 - 655884*f*y**2 wrt f.\nAnswer: 390408*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*r + 2*r + 1800 = 0. Calculate the remainder when r is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*a - 5642 = -189*a - 854. What is the remainder when 695 is divided by a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596 a factor of 1017968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - l = -9, -4*l + 14 = 2*n. Which is smaller: n or 8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -23. Let w(p) = -3*p - 11. Let v be w(k). Let c(g) = g**2 - 4*g - 2. Let r be c(5). Solve q = r*q + v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 5:08 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3638 a factor of 463583064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6908 divided by -1727.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*y**3 + 138*y**3 - 59*y**3 + 162*y**3.\nAnswer: -29*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25276 + -25282. Let v(t) = t**2 - 1. Let c(q) = 5*q**2 - 2*q - 7. Determine x*v(z) + c(z).\nAnswer: -z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 3, 6 in ascending order.\nAnswer: -4, -3, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10099 is divided by 1770.\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -2. Suppose -144 = 63*k - 51*k. Let u be ((-10)\/(-12))\/((-2)\/k). Put 1, h, u in descending order.\nAnswer: u, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 334 + 16*b - 334. Suppose -3*r = -r - 2. Calculate the smallest common multiple of l(r) and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9924822 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 - -34) + (6 - 3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2. Let w(h) = h**2 + 5*h + 13. Let z be w(-11). Let d(a) = z - 79 + 3*a. What is q(d(v))?\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 + 28. Suppose -2*t - 3*k = 27 + 205, 0 = t + k + 114. Find the common denominator of -25\/24 and (c\/15)\/(-7)*t\/(-12).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 53 = -4*x, 156*l = 5*x + 159*l + 70 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6215*r - 2206 - 20531*r - 4925*r + 2206 to a + q*r and give q.\nAnswer: -19241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4186, -4214, -4244, -4276?\nAnswer: -4310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*a = q - 21, 4*q - 3*a - 40 = 0. Let t(o) = -o**3 + 12*o**2 + 14*o + 5. What is the remainder when 82 is divided by t(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12037625, 12037636, 12037661, 12037706, 12037777, 12037880?\n\"Answer: h**3 + h**2 + h + 12037622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(864)\/sqrt(6)) + sqrt(170)\/((sqrt(10) - sqrt(160))*1).\nAnswer: -sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -20. Suppose 0*n + 15 = m*n. Solve -n*l = -3*b + b + 28, 4*b = -5*l - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(216)\/((sqrt(80)\/sqrt(2))\/sqrt(5)) - ((-2*sqrt(3) + 3)*-2 + 4).\nAnswer: -sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(-49) - ((-1)\/3)\/(24\/72).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -916*g**7\/21 + 712*g**3\/3 - 3*g - 137. What is the second derivative of m(t) wrt t?\nAnswer: -36640*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.07, -43, -1\/4, -13.9, 2?\nAnswer: -13.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -31*p - 20. Let q(c) = -c**3 - 5*c**2 + 7*c - 5. Let j be q(-6). Is d(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**5\/3 - 147914*q**4\/9 - 4419908*q**3\/9 - 4858760*q**2 - 140860400*q\/9 + 24712000\/9 = 0. What is q?\nAnswer: -10, 1\/6, 12356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 360 - 755\/2. Let v = 18 + p. Let x = -0.3 + -2.7. Which is the biggest value? (a) v (b) x (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 347580?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**12\/w)\/(w\/(w*(w*w**(16\/3))\/w)))\/(w**(-7)\/(w**4*w)) assuming w is positive.\nAnswer: w**(85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -19*h**2 + 1. Let r(s) = 102*s**2 + 8. Calculate r(i(n)).\nAnswer: 36822*n**4 - 3876*n**2 + 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.1, 2, -8, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**4*l**2 - 460641*g**3*l**2 + 216917*g*l**2 + g - l**2 wrt g?\nAnswer: 12*g**2*l**2 - 2763846*g*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**1)**(-39))**(6\/11))**43 assuming p is positive.\nAnswer: p**(-10062\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 18 = 5*t, 0 = -5*t + 3*m - 166 + 149 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*c = -81*c - 336. Let p(r) = 17*r**2 + 8*r. Let q(t) = t - 5*t - 6*t**2 + t. Let m(f) = c*q(f) - 3*p(f). Let x(j) = j**2. Determine m(s) + 6*x(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/5 + (-1 - -6). Suppose -3*b - 3*t + 57 = 0, 4*b + b - 97 = -d*t. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3555*a = -3711*a - 1092 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -131 by -7047.\nAnswer: 131\/7047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16212 + 213087.56.\nAnswer: 196875.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 49*t**2 - t. Let i be v(1). Suppose -3*n = -4*n + 2*x + i, 5*x = 4*n - 180. What is the greatest common factor of 16 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a - 206 - 3*a**3 + 4*a**2 + 107 + 103. Let s(v) = -4*v**3 + 5*v**2 + 5*v + 5. Give -5*j(c) + 4*s(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - s - 1840 = 320, -n = 2*s - 531. Calculate the remainder when n is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -516453*2.2\nAnswer: -1136196.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/11 + 90978*c**2\/11 - 33298560*c\/11.\nAnswer: -2*c*(c - 45120)*(c - 369)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**3*o**4 + 7*k**3*o**3 + 16*k**3*o + k**2*o - 3*k*o**2 - 8*k*o wrt o.\nAnswer: 24*k**3*o**2 + 42*k**3*o - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 2, 2\/5, -2\/3, -0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*h - 17, g - 4*h = 2*g + 8. Let m(s) = 0*s - g*s + s. Let x(b) = -b + 6*b + 0*b - 2*b. Give m(x(j)).\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 632 is divided by 136?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 i when two letters picked without replacement from {i: 3, u: 1, g: 1, j: 1, h: 5}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 4:53 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/42 - (-28)\/20.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1828.\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -14 + 5. Solve u = k + 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 6*i = 7. Let f be (16\/(-48))\/((-3)\/153). Suppose 4*c + 36 = -3*n, c + f = -3*n - 10. Sort 0, n, i, 4.\nAnswer: n, i, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 3)*(-2*i**3 - i**4 + 2*i**3) - 4*i**4 + 5*i**4 + i**4 + (-8*i**4 + 10*i**3 - 10*i**3)*(-1 + 1 - 2)*(-1 - 2 + 5) + 44*i**3 - 37*i**4 - 44*i**3.\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 166 + -166. Let w(g) = 2*g**2 + g + 640. List the prime factors of w(l).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69 + 13 - 374*z + 3 + 53 + 0.\nAnswer: -374*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yymmmm. Give prob of sequence myym.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(125) - (2 + sqrt(125) + 1))*1)**2 + ((-1*(sqrt(125) - (-1 + sqrt(125))))**2 - (-1 + 1 + sqrt(125))**2)*5.\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 55*u + 662. Let t be i(-18). Let k(y) = -9*y**3 - 5*y**2 - 2*y - 3. Let o(m) = 10*m**3 + 4*m**2 + 2*m + 2. Determine t*k(b) - 5*o(b).\nAnswer: -14*b**3 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 26603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -10 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 8. Let w = -38 + x. Let p = w - -23.3. Which is the smallest value? (a) p (b) -0.3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - -8)\/((-1)\/(-20)). Suppose -v + w = -154, -b = 2*v + 3*w - 388. What is the greatest common divisor of 14 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 121927573 and -0.4.\nAnswer: 121927572.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6 and -0.018539819.\nAnswer: -6.018539819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 29366, 58731, 88096, 117461, 146826, 176191?\n\"Answer: 29365*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1020012211211 (base 3) to base 5\nAnswer: -131410200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21020022221 - 200?\nAnswer: 21020022021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 32*q**2 + 639*q + 937. Determine i(-12).\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -20979414?\nAnswer: 20979413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 + -200 - (1 + 8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 10, m: 9}. What is prob of picking 1 w and 2 m?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 111, 173, 60\/7?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16758, 67032, 150834, 268170, 419046, 603468, 821442?\n\"Answer: u**3 + 16758*u**2 - 7*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 10:57 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -10*h**3 + 2*h**2 - 4*h - 6. Let o be (14\/8)\/((-27)\/108). Let n(l) = -11*l**3 + 2*l**2 - 5*l - 7. Calculate o*g(q) + 6*n(q).\nAnswer: 4*q**3 - 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 13*f**6\/24 - f**5\/60 - f**4\/8 - f**3\/3 - 15*f**2. Let q be h(-1). Does 7 divide (-7124)\/q + 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/17099029 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366 is divided by 59?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -7258 + 2423 + 705*o**2 + 2414 + 2421 in the form g*o**2 + t + k*o and give g.\nAnswer: 705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -153 - -158. Let l(o) be the second derivative of 0 + 7*o + 1\/4*o**f + 0*o**3 + 0*o**4 - 3\/2*o**2. Differentiate l(v) with respect to v.\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus -6547060?\nAnswer: -6547059.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 749.241 (b) -3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (6\/4 - 2). Let z = -6.6 - -7. Which is the closest to 0? (a) 2\/11 (b) z (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33033 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/6 + (-3)\/(-1). Let s be ((-15)\/q)\/(27\/(-72)). What is the greatest common divisor of s and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 5*o. Let f be z(-5). Let j(n) = -n + 11900000. Let m be j(f). Round m to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 587846?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 30993107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 604528 is divided by 242?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1461*l + 558 = -1399*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -y - y. Let s(t) = t**3 + 4*t**2 - 5*t - 4. Calculate the remainder when y is divided by s(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 751 = -760. Solve 2*m + 1 = w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a760 + 0?\nAnswer: a760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -727451 divided by -53.\nAnswer: 727451\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**4 + 36*g**3 + 2*g**2*h**2 + 226*g*h**2 + h**2 wrt g?\nAnswer: -12*g**2 + 216*g + 4*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10 + (-1 - (0 - -4))\/1. Suppose -266 = c*i - 326. Calculate the greatest common factor of 3 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**3\/7 - 1341394*p**2 + 11020939717440*p\/7 + 11020949107200\/7 = 0.\nAnswer: -1, 2347440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-49)\/(-7) - 7)\/1 - 1\/2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.4 + -5. Suppose 10*s + 18*s = -112. What is the third smallest value in h, s, -14?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r - 8 = -16*r. Let t(u) be the second derivative of 0 - 3\/2*u**2 - 1\/12*u**r - u + 2\/3*u**3. Give t(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g. Let i(u) = 5*u**2 - 4*u + 4. Let l(n) = 14*n**2 - 11*n + 11. Let y(f) = 11*i(f) - 4*l(f). Calculate w(y(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-57)\/95)\/(2\/(-20)). Let x(m) be the first derivative of -2 + 0*m + 3\/2*m**2 - 1\/3*m**3. Give x(t).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60.8 - 60.9. Sort 0.9, -0.03, o in increasing order.\nAnswer: o, -0.03, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/3*(-25)\/(-75).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 + 60 + -16 + 1 + 45.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0478021 to 4 decimal places.\nAnswer: -0.0478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 231 = 2*r + 3*s, 4*r - s - 293 = 0. What are the prime factors of r?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + -11 - (-264)\/(25 - 14))\/(-258).\nAnswer: -1\/86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/300*-2*3\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i + 3. Let y be u(7). Let x = y + 27. Let k(v) = -v + 31. Let m be k(-14). Calculate the highest common divisor of m and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35734656 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 129\/236?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 - 34. Suppose u*b - 5 = 15. Suppose -b*r + 9 = -4*r. Calculate the greatest common divisor of r and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 18 = -j - 70, 0 = 4*j + 2*h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 m, 1 u, and 1 b when four letters picked without replacement from {j: 2, e: 1, u: 1, d: 1, m: 5, b: 7}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -61547\/139 and -442 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 77*j + 1. Let c = -5 + 7. Let t be m(c). Suppose -3*p - 3*r = -t - 43, 69 = p + 2*r. Is 21 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/2*6\/33?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-7) + (4 - 20\/(-7)). Suppose x = t + 10. Does 17 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 111551 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (88 + -85 - (0 + 2) - -7)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + -14 + 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -105*t + 204*t + 5 - 100*t. Suppose 2*o = 5*j - 3*o - 90, -4*j = -o - 84. Let x = j + -16. What is r(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 1 - 3 + 6 - 1 + 4*n**2. Let t(j) = 2*j**2. What is r(t(y))?\nAnswer: 16*y**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 v, 1 r, and 1 l when four letters picked without replacement from nooonvnrnlvvro.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/2)\/((-1)\/2). Let q = 0.3 + -0.1. Let n = q - 1.2. Which is the closest to n? (a) -1\/4 (b) f (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = r - 32. Let o = -9 - -17. Do r and o have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = z - 4*m, -4*z + 6*m - m - 5 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -590342819*r**4 - 2*r**2 - 94429748*r?\nAnswer: -14168227656*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, 6\/11, 0.01?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaavkaaaqaaknvbkaav. What is prob of picking 1 k and 1 q?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4\/5 - 1458*h**3\/5 + 1461*h**2\/5.\nAnswer: -3*h**2*(h - 1)*(h + 487)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 349931 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, l: 7, p: 2, m: 2, s: 2}. What is prob of picking 1 v, 2 l, and 1 p?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/61 in 27790, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 5. Let c = -3 + 7. Suppose 0 = -y*g - 4, 4*b = -0*b - 2*g + c. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*(-3 + 4)\/(-3). Suppose 4*n = w*y + 8, -3*y + 15 = 3*n - 9. Solve -y*j - 5 - 15 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -734.758 - -0.758. Let t = 733.8404 + w. Let v = 0.15 + t. Round v to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 199354 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - (4 - (4 - 1)). Solve -8*l**2 + g - 2*l - 2*l + 6*l**2 + 2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 - -33. Sort 5, x, -4, -1 in increasing order.\nAnswer: x, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-nine halves of a microgram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7\/3, 103.44, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -1. Let c be 16\/5 + p\/(-5). Suppose 7*m - 4*t - 20 = c*m, -2 = -4*m - 5*t. Solve m*h = 2*h - 5*j - 13, -h - 2*j = 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.00358l in millilitres?\nAnswer: 62003.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 80 = 5*s, u + s = -2 - 4. Let q = u - -16. Suppose 0 = -2*h + 6*h - 3*v + 15, 3*v = -4*h + 15. Solve h = j - q*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 1832.7 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**4 + 209*m**2 - m - 3305 wrt m?\nAnswer: -12*m**2 + 418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5131440982?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*g**2 - 3*g**3 + 145*g**2.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-4)*g**(1\/2)*(((g*((g\/(((g**(-1)\/g)\/g)\/g))\/g)\/g*g)\/g)\/g)**(1\/4) assuming g is positive.\nAnswer: g**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 52*w + 56*w - 59 = 6*w, 5*b - 5*w = -80 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.021 + -18.021. Sort -0.1, 0.2, -1.94, m in ascending order.\nAnswer: m, -1.94, -0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4001178, -4001178, -4001186, -4001208, -4001250, -4001318?\nAnswer: -4001418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 182 and 14?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11341, -21816, -32291?\n\"Answer: -10475*a - 866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 - -68. Solve -5*c + 5*x = -40, c + 2 - z = -2*x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60622585 and 20937.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y + 6. Let s(l) = 4*l - 7. Suppose -2*d = 5*h + 329 - 325, -2*d - 4 = 4*h. Determine d*s(g) - 3*o(g).\nAnswer: 7*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*(-137 + -6)*(-1)\/(-10). Let h = r - 57. Which is the second smallest value? (a) 5 (b) -2\/13 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 12:48 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 362, 456, 594, 794, 1074, 1452, 1946, 2574?\nAnswer: 3354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7614198?\nAnswer: 2, 3, 17, 149, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -730*n - 1487 + 6195 = -16462 for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 139*k - 134*k. Suppose d + k = h - 288, 0 = -3*d - 6. What are the prime factors of h?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.44 and 0.095.\nAnswer: -0.0418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + (-1 - 1) - 0. Suppose -d + 2*k = -k + 11, -k - 11 = -x*d. Find the third derivative of -2*o**d + 6*o**4 + 11*o**4 - 3*o**4 + 10*o**2 wrt o.\nAnswer: 288*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 148164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 4 = 764*p - 769*p, -3*p = -2*c + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24606*i**2 - 33136 wrt i.\nAnswer: 49212*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62688 (base 13) to base 14.\nAnswer: 4866a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 1. Let s be b(-1). Let h be ((-8 - -2)\/(-3))\/(125\/75). Is s at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 7*y**3 + 18)*(-4 + 0 - 2*y + 1 - y**2).\nAnswer: 7*y**5 + 14*y**4 + 21*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -3\/4, -2, 4289, -5, -41?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -520*k - 1414*k - 113*k = -449*k + 97478 for k.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -3 - -5) + 7 - (1 - 14).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i - 10. Let t be p(7). Suppose -t*g + 32 = -4*u, 3*g = -5*u + u - 4. Solve 0 = g*b + 4 - 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8133965476 to the power of 1\/2, to the nearest integer?\nAnswer: 90188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 78147301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 4:01 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23.04 - 0.04. Let t = -23.5 + z. Which is the smallest value? (a) -3 (b) t (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2) + -3 + 2 + -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 6*k**2 + 6*k + 4. Let d be ((-9)\/6)\/((-6)\/8). Let b(a) = -2*a + a + a**d - 1 - 2*a**2. Let y(u) = -4*b(u) - w(u). Find r such that y(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.7 + 2.686. Let c = g - -0.614. Let k = 2.6 - c. What is the nearest to 0 in 6, k, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1420*n**2 - 1341*n**2 + 1598*n**2 - 3*n to x*n**2 + d*n + r and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27575.\nAnswer: 5, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 6*((4 + sqrt(175))*6 - (sqrt(175) - (-4 + sqrt(175) + (sqrt(175)*3 - sqrt(175) - sqrt(175)))))*4 + 5)**2.\nAnswer: 818160*sqrt(7) + 5176369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.68 and -3?\nAnswer: -2.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2467818233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*l - 8. Let i(t) = -t**3 - 2*t**2 - t - 2. Let w be i(-2). Suppose r + w = l. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -51*j**2 - 181*j - 51. Let p(k) = -10*k**2 - 36*k - 10. Let g be (-20)\/(-90) + (-194)\/(-18). Let b(i) = g*p(i) - 2*f(i). What is o in b(o) = 0?\nAnswer: -4, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 128462?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 15*k**5 + 25*k**4 + 25*k**3 + 5*k + 5. Let j(n) = -8*n**5 - 12*n**4 - 13*n**3 - 3*n - 3. Let l(u) = 5*j(u) + 3*r(u). Find h such that l(h) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, d: 5, k: 3, h: 2}. Give prob of sequence kk.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1159*y = 1175*y + 144 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94056 is divided by 426.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11408014 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -486*j + 1 + 1328*j - 1 to m*j + z and give m.\nAnswer: 842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 184 - -13322?\nAnswer: 13516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -1\/6, -0.09 in ascending order.\nAnswer: -1\/6, -0.09, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/((-33)\/792)*5\/45?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -16*k**2 + 12*k - 12. Let b(h) be the first derivative of -h**3\/3 + h**2\/2 - h + 58. Calculate -48*b(u) + 4*d(u).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*k = -3*i + 15, -i = -2*k - 6. Suppose -2*h - h - 378522 = i. Let f = -41174 - h. What is f rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxrx when four letters picked without replacement from {h: 1, o: 4, v: 1, x: 2, r: 1}?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1325493712?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**3 + 98*f**2 - 98*f**2)*((0 + 2 - 1)*(2*f + 3*f - 3*f) - 13*f + 15 - 15 + (6 + 0 - 4)*(-4*f + f + 4*f)).\nAnswer: -45*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20554052, -41108103, -61662154, -82216205, -102770256?\nAnswer: -123324307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, -11, 4, -3, 1144, -2 in decreasing order.\nAnswer: 1144, 37, 4, -2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/31, -0.4817, 0, -4\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 9*p**2 + 4*p - 14. Let f be n(-6). Suppose -3*a = -8*a + f. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3350494 plus -156965267?\nAnswer: -153614773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -12) + (2 - (0 + 11))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 80.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 316*a - 15419. Calculate n(50).\nAnswer: 381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-3)\/(-3) - 100. Let j = 2321\/23 + r. Let g(v) = -v + 4. Let h be g(5). Which is bigger: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**2 - 1\/3*n**3 + 3 - n. Give u(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1100) + 1 + sqrt(1100) + 1 + -1)**2 + -4 + -2 + 2.\nAnswer: 40*sqrt(11) + 4398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -230, -234, -242, -254?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(0 - 3 + 1)*(1073*b**2 + 33*b**4 - 30*b**4 + 188*b**2 - 262*b**2).\nAnswer: -12*b**4 - 3996*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34\/(75\/(-85) - -1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5508 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/7015179?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4*d - 2 = -9*r, -3*r + 2*d + 10 = 0. Let y(q) = 12 - q**r + q**3 - 2 - 15*q**2 - q + 3. Let p be y(16). Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -18558?\nAnswer: -18554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22672110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 8*j - 4*j - 28, 0 = -3*l - j + 16. Let n(r) = -9*r**2 + 52*r + 2. Is n(l) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, u: 1, j: 2}. Give prob of sequence ujj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57.2 + 66. Let g = -9.78 + u. Let j = g + -0.02. Which is bigger: -1\/3 or j?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 + 19 + 17 - 43 - 3*y**2.\nAnswer: -2*y**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 12:14 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -54.15?\nAnswer: -56.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -283757*j*s**2 + 16*j*s - 285*j - 31*s**2 + 149*s wrt s.\nAnswer: -567514*j - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6252 by 3.\nAnswer: -2084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 1218*l + 10. Let t(n) = -2*n**2. Calculate t(x(s)).\nAnswer: -2967048*s**2 - 48720*s - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -1, 7.\nAnswer: -3, -2, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-163 + 161 - (2 + 1 - 10)) + -3 + 37.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -20*l - 2*l**3 + 9*l + 5*l**3. Suppose -3*o + 10 = -5. Suppose -56*h - 265 = 183. Let j(t) = 2*t**3 - 7*t. Give h*j(x) + o*g(x).\nAnswer: -x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32041492?\nAnswer: 2, 7, 163477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 2. Let h be x(9). Let j = 12 + h. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 5*h - 35, -d + 5*d - 5*h + 5 = 0. Suppose 4*b = d*b - 8. What is the greatest common factor of 64 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*i - 2*i + 2*i)*(3*i**2 - i**2 - i**2) + i**3 + 3*i**3 - 6*i**3)*(-2*i**2 + 0*i**2 + 3*i**2).\nAnswer: i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -644636 by 4.\nAnswer: -161159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 516.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, s: 1, t: 1, v: 2, w: 1, m: 2}. What is prob of sequence ml?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 2*n - 6. Let u = 4 - n. What is the common denominator of -101\/8 and ((-196)\/(-72))\/(u\/(-2))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 3:22 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/3*1)\/(25\/(-15)). Let m = -3553.6 + 3554. What is the biggest value in 20, -2, m, d?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 1. Let f be r(-3). Let q(l) = -9 - 6*l + 17*l - 10*l. Let m be q(f). Which is smaller: -0.1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0068705883 rounded to 6 decimal places?\nAnswer: -0.006871","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/8 and 22\/97.\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-3) - (-3)\/9. Suppose 13*m + 3287 = 453. Let s = m + 234. Sort s, q, 0, -1 in increasing order.\nAnswer: q, -1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540037 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*n - 50 = -2*n, -3*w = -2*n + 11. Let y(o) = -3*o**2 + 3*o + 5. Let x = 21 + -26. Let l(r) = 4*r**2 - 4*r - 7. Give w*y(z) + x*l(z).\nAnswer: z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 0*b**2 - 13\/4*b**4 + 3*b - 17 + 0*b**3. Find the first derivative of z(t) wrt t.\nAnswer: -39*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3746, -7505, -11264, -15023, -18782?\n\"Answer: -3759*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9\/11 (b) -0.4 (c) -4 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + -6. Let s = n - -37. Solve 0 = 5*y - h - s, -4*h + h = 2*y + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*v**3 + 14*v - 3 - 33*v + 21*v**2 - 68*v + 26*v - 53*v wrt v.\nAnswer: -36*v + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 4*f - 2*f)*(3 + 2 - 3) - 2*f - 4*f + 4*f + f + 0*f + 0*f - 3 + 3 + 28*f + 16*f.\nAnswer: 41*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 125\/20 - 6 - 3106\/(-120). Let o = -26 + h. Let y = -11 + 6. Sort y, o, 5\/2, -3 in increasing order.\nAnswer: y, -3, o, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 114 = -5*h + 2*a, -105 = 3*h + a. Let v be 73798\/9 + (-8)\/h. What is v rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1159.07189 from -54315.4.\nAnswer: -55474.47189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 7) in base 16?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*(1 + (-44)\/12)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4384 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1134 and 2516913?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17 + 3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 139, 3, -2, -0.7, 3\/38 in descending order.\nAnswer: 139, 3, 3\/38, -0.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298*m**2 - 317*m**2 - 290*m**2 - 328*m**2 + 1495*m**2 - 324*m**2.\nAnswer: -62*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 557, 6\/11, 0.2, 0.3?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 s when four letters picked without replacement from sstsssyssssssysys?\nAnswer: 117\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6980 is divided by 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**2\/u**(4\/3))\/((u\/(u**(-1\/6)\/u*u)*u)\/u*u*u**(2\/7)))\/((u\/u**2)**26\/(u**1\/u*u**(2\/11))) assuming u is positive.\nAnswer: u**(3757\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x + 50 = 13*x. Suppose -x*f - 20 = -20*f. Sort f, -3, 3 in ascending order.\nAnswer: f, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4299579233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -380\/91 + -23645\/1638. Let t = h + 39\/2. Find the common denominator of -47\/9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 21 = u + 6*f, -5*f - 33 = 2*u. Let m = 20 + u. Let k = m + 2. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 43a4 - -20?\nAnswer: 43c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - 0)\/((-2)\/(-3))*16\/48. Let z(x) = -x**3 - 9*x**2 + 9*x - 9. Let l be z(-10). Put -4, u, -2, l in ascending order.\nAnswer: -4, -2, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11135 - -30716. What are the prime factors of y?\nAnswer: 3, 61, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9530247009 to the nearest integer?\nAnswer: 2120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*t - 4*c, 3*t - 3 = 2*c + 4. Suppose k - t + 1 = 0. Solve 1\/3*n**3 - 1\/3*n**k - 1\/3*n + 1\/3*n**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 489634 = 27*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 2 - 46. Let s(n) = -2*n**2 - 24*n + 14. Let g be s(h). Solve -5*w = -2*f + g, 4*f = -4*w + 2 - 30 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 332 = -2*b - 2*k + 324, -4*k = 2*b + 16. What is the biggest value in 3, -0.3, b, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4*i - 24. Suppose i*r = 3*g + 35, -5*r + 4 = g - 16. Determine j so that j**r + 35*j**4 + 15*j**2 + 2*j + 8*j**5 - 2*j**4 + 37*j**3 = 0.\nAnswer: -2, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*c = -71*c - 2511. Let o = 55 + -15. Calculate the remainder when o is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 16*m - 25. Let c be n(14). Suppose 3 = 3*f - 3*x, c*x = -f + 2*x + 7. Let s(q) = 4*q**2 + 3*q + 4. What are the prime factors of s(f)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 45\/5*(-4)\/(-9). Is 31 a factor of (124\/2)\/(-3*a\/(-96))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3 + 5 + 72*s**2 - 2 - 68*s**2. Let h(f) = -20*f + 1. Calculate h(v(i)).\nAnswer: -80*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 8.6. Let g = 274.6 + -274.4. Which is the smallest value? (a) g (b) i (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -0.01, 0.015, 0.4, 5 in decreasing order.\nAnswer: 5, 0.4, 0.015, -0.01, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 3 (b) 350 (c) -2\/3 (d) 2 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -58 (b) 2 (c) 0.1 (d) -33361 (e) -0.1 (f) -0.4 (g) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 >= 32519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4*p = 6, 5*p = 3*q - 2 - 4. Solve -q = 2*b - 3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2*w - 553 + 11147, -6*m - 5*w = -31837. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -708*d + 1308*d - 662*d = -3720 for d.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 14*t**3 + 2*t**2 + 3*t - 3. Let y be f(3). Let q(d) = 8*d + 1. Let o be q(-2). Is (5\/o)\/((-2)\/y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 867383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4983567?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17.525 + -10. Let s = n + -7.3. Round s to two dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 65 - 62 - i**2 + 7*i + 0*i**2. Let m be a(7). Suppose 2 = m*u - 19. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*m + 22*m + 20*m = -1184 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4378441583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-2\/59)\/z))\/z*z*z\/(z\/z**(3\/4))*z*z assuming z is positive.\nAnswer: z**(1129\/236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 n, and 1 e when four letters picked without replacement from hnznshzhzeez?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -78.325 to one dp.\nAnswer: -78.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 1\/28 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3162 times -0.7?\nAnswer: 0.22134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -150334*n**3 + 29151*n + 4.\nAnswer: -902004*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-244)\/(-3) + (-16)\/12 and 3.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 81 + bb4?\nAnswer: c65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 320 and 380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 10370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.1 - -5.3. Let t = a - 1.2. Let o = -2.4 + t. What is the third smallest value in o, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -6. Let g be m + (1 - (0 - 1)). Solve 5 = 2*h - 3*y - 5, g*y - 10 = -2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-19 + 15) - 23\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 - 2 - (1 - -1). Suppose 0 = 4*f + 2 - 14. Solve -f*h + 2 = 2*p, m*h = 5*h + 5*p - 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*l + 17. Suppose 0 = -4*z - 8, 0*z = -5*h - z + 63. Calculate the remainder when (h\/(-5))\/((-6)\/30) is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03 + 1.03. Let j = 40.5 - 40.2. What is the third biggest value in j, -0.2, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 + 1. Let i(j) = -j - 7. Let g be i(-5). Let d be 2 - g\/((-8)\/10). Which is the biggest value? (a) p (b) d (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425 = -4*h - h + y, 3*h = -2*y + 268. Let d(c) = -30*c - 1. Calculate the remainder when h is divided by d(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 + 129*d**2 - 73*d - 644. Determine j(-65).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 10. Calculate the least common multiple of 4 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*(w\/(w*w\/w**(-4))*w*w)\/w)*w)\/w)\/w*w**0*(w**(-1\/4))**(-9\/7) assuming w is positive.\nAnswer: w**(121\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 19 * 4582468\nAnswer: 87066892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1418739882 + 1418739875.89999907. Let s = g + 6.1. What is s rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -15. Suppose 18 = -x*q + 3*t - 23, 4*t - 28 = 2*q. Let r(i) = -5*i - 12. List the prime factors of r(q).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 386 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 27 + 12*o**3 + 16.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 28*b**3 + 476*b**2 + 249*b + 4080. Calculate i(-17).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-1)*-1)\/(((-1219)\/(-689))\/23)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - g. Let r(p) = -15*p**2 + 12*p. Let l(k) = r(k) + 12*z(k). Let a(v) be the first derivative of v**2\/2 - 70. Calculate l(a(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/(-6))\/(14\/21))\/(6\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196) - (-2*sqrt(196)*-1 - sqrt(196)))\/((sqrt(5040) + -2*sqrt(5040))\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55.3 - 10.3. Let d = 2998 - 8797\/3. Let c = -66 + d. Is c greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/28)\/(137\/(-7398)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2060831 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Divide 1508 by -52.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, -1, 15, 1, 10 in increasing order.\nAnswer: -1, 1, 10, 15, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 8*w + 4. Let x(z) = -9*z - 6. Let l be 1*(-9)\/(-3) - 5. Let v(d) = l*x(d) - 3*o(d). Let h(r) = 6*r**2. What is h(v(k))?\nAnswer: 216*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3344, -3342, -3340, -3338, -3336, -3334?\nAnswer: -3332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 8*a + 588. Let t be a\/21*3\/(-2). Let h(g) = g**3 + 8*g**2 + 8*g + 3. Give h(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 g, and 1 k when three letters picked without replacement from {x: 2, g: 1, k: 10, a: 1, j: 6}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35392.\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2261695 is divided by 126.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - 1 + 1)*(4*s**3 - 4*s**3 - 2*s**3) - 9*s**5 - 8*s**5 + 8*s**5 - 2*s**3 + s**5 + 0*s**5 + 4*s**3.\nAnswer: -12*s**5 + 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.446939l to millilitres.\nAnswer: 1446.939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4049 - (1 - -1 - (-26 + 29)). Suppose 31*s - l = 22*s. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4994 and 16117?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 5 - (36 - 28)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -48044623120 minus -17.1?\nAnswer: -48044623102.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 2 + 1)*(34*o - 17*o - 31*o) + (2*o + o - o)*(2 + 3 - 4))*(-3 + 3 - o**2) + 4 + 26*o**3 - 4 to the form u + w*o**3 + j*o + c*o**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/2 + (-72)\/(-4). Let v be 7\/21 - z\/(-6). Suppose -v*l + 42 = -2*l. Is 42 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30667.5 to the nearest one thousand.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -126*n**4 - 425 + 3*n**2 - 1424*n**6 + 9 - 2*n + 2*n + 1422*n**6 wrt n.\nAnswer: -240*n**3 - 3024*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3*l + 13, 4*j - 5*l + 54 = 16. Calculate the remainder when 18 is divided by -7 + ((-14)\/(-2) - j).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 2*o. Let i(m) = m**2 + 1. Suppose -4*n = -u + 18, 14*n - 13*n + 5 = 0. What is u*i(k) - y(k)?\nAnswer: -k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 - 23498*v + 23498*v.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2306.\nAnswer: 2, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3357 (b) -0.4 (c) -5 (d) -1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**2 + r. Calculate the smallest common multiple of h(2) and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1ede8 + 1e?\nAnswer: -1edca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q + 1. Let i be w(-1). What is the derivative of 1 + 5*v + 3*v - i*v - 2*v wrt v?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 11:34 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.950034 or -165?\nAnswer: -1.950034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -601 - 0.2?\nAnswer: -601.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 3*t - 15 = -2*f, -3*t = -f - 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2912*z**2 + 963*z**2 + 974*z**2 + 961*z**2.\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 8. Suppose 1410 = p*t - 1702. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**5 - 5*j**5 - 5*j**5 + (3*j - j**3 - 3*j)*(2*j**2 - 14*j + 14*j) - 2*j**5 - 2*j**5 + 2*j**5 + (0*j + 0*j - j)*(j**4 - 4*j**4 + 2*j**4).\nAnswer: -15*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 27*i - 882*i**2 + 0 + 885*i**2.\nAnswer: 3*i*(i + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/1375 and 131\/60500.\nAnswer: 60500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 925426, 925429, 925432?\n\"Answer: 3*x + 925423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 106172 and 5016.\nAnswer: 637032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 73710 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five halves of a tonne?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 67*s**2 - 409*s + 833. Determine j(-9).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009228068876 rounded to four decimal places?\nAnswer: -0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -18. Suppose -b*p = 3*p + 20. Let o be (-4)\/(-6) - p\/(-6). Solve -s + 4*f - 8 = o, 4*s + 0*s + 2 = f for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8555*r + 8606*r - 3 + 1 + (2*r - 6*r - r)*(3 + 3 - 4).\nAnswer: 41*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30250 and 10.\nAnswer: 30250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/5177 and -77\/282564?\nAnswer: 8759484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 264?\nAnswer: 25f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/33699 + 864949\/134796. What is the common denominator of f and -107\/44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, c: 4, s: 1}. Give prob of picking 2 q and 2 c.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*d - 8*d**3 - 5*d**2 - 4*d**3 + 3*d**2 + 13*d**3 + 1 as l*d**3 + q + z*d**2 + r*d and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/((-21)\/14)*4122\/(-1603).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386506 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110101101110001011000000 - 111?\nAnswer: 1110101101110001010111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1192*d**3 + 948*d**2?\nAnswer: -7152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 3 (c) -0.023\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlalnrlraar. Give prob of picking 3 l.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -622960.0999945 + 622963. Let s = 3.8 + -0.9. Let n = s - q. Round n to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.27 litres to millilitres.\nAnswer: 8270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p - 8. Determine j(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 0, -11136.\nAnswer: -11136, -12, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 + 47. What is the highest common divisor of j and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12 + (-8)\/(2 - 6). Let f = -14 + q. Suppose -b + 6 + 0 = f. Let c(t) = t**3 - 6*t**2 + t. What is c(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3 = 1. Let s be 0 + 3 + (-1)\/h. Let l be (s\/((-8)\/10))\/(-1). Solve w - l = -1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-3))\/(1\/24*8). Let i be (3 + 4 - 6)\/((-2)\/r). Which is greater: -1\/199 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*n + 2 = -50*n + 106*n, -4 = 3*k + n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wns when three letters picked without replacement from sasnbwzba?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/12907 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*d, -56 = 3*u - 0*d + d. Let i = u + 20. Solve -25 = -5*z + 5*x, -4*z - i*x + 2 = -2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15935587.92 milliseconds to weeks.\nAnswer: 0.026348525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m - 8228 = -8*m. What is the hundreds digit of (4\/2)\/(5 + 3736\/m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 divided by -3122?\nAnswer: -691\/3122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5111?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.068579 and -0.2?\nAnswer: -0.0137158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/144739 and -113\/7130.\nAnswer: 1447390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*2\/8*-2. Let a be (2\/(-7) - i) + 32\/14. Solve -2*n = a - 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 0.4 (c) -5 (d) 2980.64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -11*j**3 + 5*j**2 - 5*j - 5. Let u(b) = -12*b**3 + 4*b**2 - 4*b - 4. Let q be (-70)\/(-4)*420\/1470. What is q*u(z) - 4*m(z)?\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (1 - 3) - (225 - 224)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - u + 0)*(-1 + 9*u + 1) + 3*u - u**2 + 0*u + u.\nAnswer: -10*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4219 - -4219. Let f(g) be the third derivative of -6*g**2 + 1\/6*g**5 + 0 + 0*g**3 + w*g + 0*g**4. Let p(t) = -t**2. What is p(f(l))?\nAnswer: -100*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 - -1) + 81 + -82. Let u(p) = 7*p**2 + 13*p + 4. Let g(c) = -20*c**2 - 38*c - 11. What is m*g(k) + 17*u(k)?\nAnswer: -k**2 - 7*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3335228472 to the power of 1\/5, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 4:12 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 155145300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23133 + 0?\nAnswer: 23133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 725573*-0.03\nAnswer: -21767.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**5*c)\/(c\/((c**(1\/18)\/c)\/c))*(c\/(c\/(c\/(c\/c**(-4\/17))*c)))\/c**(-28) assuming c is positive.\nAnswer: c**(9737\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 3, -1198, -36, 0, -3.\nAnswer: -1198, -36, -11, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 11:31 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 855 and 475.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1220 = k, -2*k + 1548 + 913 = -5*j. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4240264 by -2.\nAnswer: -2120132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 28 and 26 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8.02 * -0.334\nAnswer: 2.67868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 143 - 83. Calculate the greatest common divisor of 40 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -r**3\/3 - r**2\/2 + 300*r - 10. Let t be v(0). Suppose -7*c + 10*c - t = 0. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**2\/3 - 8368*n\/3 - 17505856\/3 = 0.\nAnswer: -4184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -166171, -1 in descending order.\nAnswer: 0, -1, -166171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72869 is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10668 and 3899535?\nAnswer: 109186980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7659*q + 7666*q + 7663*q - 22964*q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 12 = -n. Which is smaller: n or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -179.71.\nAnswer: 179.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 13*u**2 + u + 16. Calculate i(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/sqrt(3)*2)\/sqrt(11) - (sqrt(55)\/(sqrt(44)*4))**2.\nAnswer: -5\/64 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 481.2 - 481.4. Suppose -y + 4*y + 12 = 0. Which is the nearest to w? (a) 0 (b) y (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -789*y + 800*y = -99 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -10*p**2 + 3*p - 2. Let i(x) = -x**2. Let u(b) = -18*i(b) + 2*o(b). Let r(m) be the first derivative of u(m). Differentiate r(k) with respect to k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 11:27 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 510015\/115 + (-10)\/(-115)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5749*n + 6240*n + 2455 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 348*b**3 - 345*b**3 + 315*b**2 - 647*b**2.\nAnswer: 3*b**3 - 332*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.29 in 0.5, -3, 2\/11, -6\/5, 2\/7, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -388*d + 387*d = -110. Find the common denominator of 31\/42 and 1371\/(-270) + (-22)\/d.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 16 + (-5 - (7 - 1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 5*z + 16 = 2*y, 14 = 4*z + y. Suppose -2*x - 3*g = 2*g - 10522, -4*x + z*g + 21044 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11226*m**2 - 684788*m + 122.\nAnswer: 2*(m - 61)*(5613*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.4 (b) -5 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (-2560)\/(-40)*(-12)\/(-32).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -173 - 19. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 10 = -q. Let t = 8 - 4. What is the greatest common divisor of q and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 14 = 2*b. Calculate the greatest common divisor of b and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271080584 a multiple of 376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 5*t**2 - 2*t + 2. Let u(z) = z**2 - 2*z - 1. Let p = -165 - -164. Let q(n) = p*u(n) + m(n). Calculate q(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2677, 10628, 18579?\n\"Answer: 7951*i - 5274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 8:15 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 121, 110, 89, 52, -7?\n\"Answer: -m**3 + m**2 - 7*m + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -2*c + 5*t, 3*c + 266*t - 271*t = 55 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 159839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2087 is divided by 868?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8.58, -5815.6, 2\/3, 0.3?\nAnswer: -5815.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/147061972 and 137\/12.\nAnswer: 441185916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 923 and 1209?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 19*b - 67. Let g be 75\/50*(-20)\/3. Let p be x(g). Solve 36 - 8 = -4*j + 4*c, j + 5*c = p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.04 - -6. Let g be (-6)\/((1\/(-3))\/(2\/6)). Let t be 2\/g*(-15)\/((-25)\/(-5)). Which is the closest to x? (a) 0.1 (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*s = h - 50, 2*h + s - 50 = 0. What is the remainder when 67 is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7950 and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.34 + 0.04. Let x = -2.3 - t. Let l = 2 - 1.9. Is l greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -191\/3 - -63. Which is the nearest to -1\/3? (a) -1 (b) u (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 7:50 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0158 - -2.7762. What is w rounded to one dp?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -20. Find the second derivative of -u*k**3 + 2*k - k**3 + 3*k + 8*k**3 wrt k.\nAnswer: -42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*j - 2261 - 2977 = 0 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 7:03 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - -28. Calculate the highest common divisor of k and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000671939 rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-1)\/(-2)*2. Let r = 29.4 + -61. Let v = r - -32. What is the nearest to -0.2 in v, -0.2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6, -37, -142, -339, -658, -1129, -1782?\n\"Answer: -5*c**3 - c**2 - 5*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooddodoodooddood. Give prob of picking 2 d and 1 o.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 38474*x**2 - 19238*x**2 + 24*x - 24 - 19238*x**2. What is n(11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1395\/217*7*20\/(-30)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 6:57 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 535 a factor of 118770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 549 or 551?\nAnswer: 551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.8983*1.1.\nAnswer: 2.08813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 3280?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 202565, 405106, 607639, 810170, 1012705?\nAnswer: 1215250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59935?\nAnswer: 5, 11987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 9. Is -1 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 28 = -3*k - k, -4*k + n + 48 = 0. Let q be ((-8)\/10)\/(1\/(-10)). Let u = 19 - q. What is the highest common divisor of k and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 + 76. Let c be (m\/(-10))\/3*0. Sort 3, -4, c, 2 in increasing order.\nAnswer: -4, c, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 120 - 25. Calculate the remainder when 57 is divided by v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v - 5. Let j(m) = 11*m + 17. Let y(z) = 5*z + 8. Let a(q) = 4*j(q) - 9*y(q). Let c(g) = 3*a(g) - 4*r(g). Let w be c(0). Solve -s = -3*s + w for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -540\/11 in -0.3, -14, 0, 75, -5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/3)*h)\/h*h)\/h**3 assuming h is positive.\nAnswer: h**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90625, -182059, -273493, -364927, -456361?\nAnswer: -547795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4044)\/24)\/(2\/4). Let j = -152 - g. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -117\/4, 2, -1 in ascending order.\nAnswer: -117\/4, -1, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5136 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 4*f**2 + 148*f - 1364. What is g(0)?\nAnswer: -1364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nine tenths of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1958421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/8)\/((-2)\/(-8)). Let n(g) = -4*g**2 + 6*g. Let d(m) = 3*m**2 - 4*m. Let p = 70 + -63. What is k*n(x) + p*d(x)?\nAnswer: x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 163391679257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 105 = -4*n - 5*v, 3*v - 99 = -5*n. Calculate the lowest common multiple of 16\/(-12)*(-2 + -1) and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.259 - 0.259. What is the smallest value in 1, g, 3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 570 + -647.6. Round n to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9 + -10 + (-1 - -4). Suppose -3*v + 3*o + 16 = -u, -3*v = -2*o - 20. Suppose -2*d = 3*d - 100. What is the least common multiple of d and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 204030152?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 6)*(2*m - 5*m + m)*((-3 + 2 + 0)*(4 - 4 + 5) + 188 + 101 - 233).\nAnswer: 204*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 5*f**2 + 10*f + 8. Is y(-8) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 13*n - 60. Let x be z(17). Let w(a) = a**2 - 7*a - 6. Calculate w(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.22 + 2.36. Which is the smallest value? (a) -3\/8 (b) 2 (c) h (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 7*p. Let m be o(-6). Let f(z) = 3*z - 1. Let u(l) = -5*l + 1. Let d(b) = 8*f(b) + 5*u(b). Give d(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**3 + 1577 + 2603 + 2*a**3.\nAnswer: 2*a**3 + 4180","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 0, 4, 1834 in ascending order.\nAnswer: -12, 0, 4, 1834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**4 - 60*u**3 - 45774*u**2 + 91716*u - 45885 = 0. Calculate u.\nAnswer: -115, 1, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**3 - 51*a. Let t(j) = -10*j**2. Determine x(t(g)).\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*sqrt(68))**2 + (sqrt(17) - (1 + sqrt(1377)))*-1.\nAnswer: 8*sqrt(17) + 15301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*r**2 - 5 + 5.\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 5 - 21 - (21 + (2 - 33)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (0 - -19)) + (5 - -17)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.48 - -2.18. Let m be -2 + -2 + 3 - -3. Which is the closest to -0.2? (a) -4\/7 (b) f (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168489 and 10476.\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 79*p**6 + 2*p**4 + 51*p**2?\nAnswer: 9480*p**3 + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*k + 3. Suppose -h + 1 = -k. Let n be 7\/(-49) - h\/(-14). Which is the second biggest value? (a) 3 (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*o**5 + 181*o**4 - 850*o**2 - 1514418*o + 9 wrt o.\nAnswer: 80*o**3 + 2172*o**2 - 1700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of b**5\/20 - 11*b**4\/12 + 4*b**3\/3 + b**2 + 9*b. Let z be u(8). Round z to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbjw when four letters picked without replacement from {j: 2, b: 5, w: 1, c: 1}?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -135.7 - -135.4. What is the closest to -2 in -4, 3\/8, 15, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 968798647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9014, -9033, -9072, -9143, -9258, -9429, -9668?\nAnswer: -9987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1485 - -11786. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11038 + 9543 = -48*x + 16505. Calculate the remainder when x is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 996?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1314\/(-3285)*(-10)\/34\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/8 - (-2)\/(-8). Is (w - -3 - -157)*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (-5 - ((1 - 6) + 4)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/8, -1\/4, 905?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*z - 4, -2*d + 3*z = -37. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-18))\/(27\/(405\/(-44)) + (-156)\/(-60))\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 11 + 27 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 58*z**3 - 61657*z**2 - 58523*z + 3192.\nAnswer: (z - 1064)*(z + 1)*(58*z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(405) - 2*sqrt(405)) - (1 + sqrt(405) + 5)) + -1)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**3 - v**2. Let r be o(1). Suppose r*y - u - 5 = 0, -5*y + 3*u + 3 = -0*u. Solve -y*c - 5*t + 5 = 1, c = -t for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18297659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + y = 4*s - 23, -2*s + 4*y + 8 = 0. Does 21 divide (-8)\/(-9)*s*(-63)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -3\/86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 257*n - 18779 + 4116 - 6154. What is the remainder when 14\/(-63) + 5818\/18 is divided by n?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7411594 - 103074.\nAnswer: -7514668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -530.47437 rounded to the nearest ten?\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, i: 5, j: 2}. What is prob of picking 1 m and 2 i?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0084 in -0.2, 986, 5, 0.5, -7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4 - 8329918*m**3 + 8329914*m**2 + 8329918*m - 8329916 = 0.\nAnswer: -1, 1, 4164958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4256344000 rounded to the nearest one million?\nAnswer: 4256000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/16*27\/(-45)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.193 and 701139.42.\nAnswer: 701139.613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26264\/(-67)*(-16)\/((-896)\/(-8)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + 58 + -44 + 7?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*l + 81*l - 25 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*n - 30*n + 56*n - 4*n + 26*n.\nAnswer: 99*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**2 + 72. Calculate r(7).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2325 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 40 = 3*j, c - 5*j - 40 = -3*j. Suppose 4*h - 30 = -2*t + 8, 0 = 5*h + 5*t - c. What is the highest common factor of h and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 0 + (0 - 0). Suppose -z = -y + 5. Let q = -2.554 - -2.254. What is the closest to z in 1, q, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -572*r = -6*m - 66*r + 220 + 780, -2*m = 2*r + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -11*l**2 - 5443. Suppose 12 = 3*h - 0*r + 2*r, h - 4*r = 18. Let n(i) = h*i - i - 3*i. Give n(k(t)).\nAnswer: -44*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqd when three letters picked without replacement from ddddddddqddqd?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*n + 13. Let f = n - 2. Suppose 4*u - f*u = -280000. What is u rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364770 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(42)\/sqrt(6))*5.\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/90501 and -68\/2385.\nAnswer: 71948295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwwcwc.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 1)*(-13 + 9). Let h be (-18)\/(-4) + x\/(-4). Which is the closest to -2\/7? (a) 0.09 (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hiiiciioonihnhihhon. Give prob of sequence nnh.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, v: 3, n: 3, u: 1, l: 4, c: 3}. What is prob of sequence cnln?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 4*d**3 - 6*d**2 + 23*d**2 + 14*d**2 - 8 as h + q*d + j*d**3 + z*d**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1303078 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1608336?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 191.3284 decades in years?\nAnswer: 1913.284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -21\/5, 241, -4, -3\/5, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 22 - 3596*d**3 - 6.\nAnswer: -3596*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 371.\nAnswer: 6\/371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hxfr when four letters picked without replacement from rrhbbbhxbxrfrbb.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9}. What is prob of sequence aa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2083*t**3 - 3*t**2 + 2*t - 2. Let s(r) = -2082*r**3 - 5*r**2 + 3*r - 3. Give 3*o(u) - 2*s(u).\nAnswer: -2085*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15247082 a multiple of 1786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 2*b + (-3 - 1 + 3)*(b + 0*b + 5*b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.754699 days in minutes?\nAnswer: 6846.76656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -904*c**2 - 966*c**2 + 1990*c**2.\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -17831724 divided by 3\nAnswer: -5943908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 6*y**2 + 4*y - 2. What is the remainder when u(2) is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -330*r**3 - 11308 + 11308.\nAnswer: -330*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -77 - b0?\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 12 = -3. Suppose 4*t = 6*t - u - 78, 3*t - 124 = 5*u. Solve 4*f = 3*w + g - t, -3*w + 13 = f for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/3)\/k)\/k*k*(k*k**(2\/33))\/k*(k**(-2\/9))**(31\/5)*(k\/k**13*k*k\/(k**(-4\/5)\/k))**(-1) assuming k is positive.\nAnswer: k**(3242\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.63292 rounded to 2 dps?\nAnswer: -9.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 35927*r + 0 + 5 + 35945*r.\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1023201 (base 4) to base 8\nAnswer: -11341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3400630423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -53*s**3 - 2*s**2 + 2*s + 1. Let f(v) = -v - v - v**2 - 2*v**2 + v. Let r be f(-1). Is o(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 420 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4279 by 8.\nAnswer: 4279\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 14 = -4*n - w, 131*w = -n + 133*w + 64 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11, -9, 13, 67, 165, 319, 541?\n\"Answer: 2*l**3 - 2*l**2 - 6*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 186 (b) 0.1 (c) -0.1132\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q + 3*q**2 - 14*q**2 + q + 293*q**3 - 290*q**3 as a + x*q**3 + n*q + o*q**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/36 and 13\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00022817 to 5 decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(36)\/sqrt(3))**2.\nAnswer: -20*sqrt(3) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3460.581ug in kilograms?\nAnswer: 0.000003460581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*x - 10513 + 1823. Let j = -341 + x. What is the smallest common multiple of j and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -3 - 13) + 6 + 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -2*h, -8*h - 2 = -7*h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.1 (b) 2\/3 (c) -0.06 (d) -2133\/4 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - a - 9 - 20 + 45.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-33 + 30)\/((12\/(-10))\/2). Let k = 18 - 14. Suppose -3*o + 0*o + 887 = -k*m, i*m + 25 = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55096 and 172104?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 15*c + 10. Let p be s(-1). What is the biggest value in -0.4, 3\/4, 3, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 192\/15 + 2\/10. Let x = -11 + d. Factor 8*p**3 + p**3 + 3*p**x + 0*p**3 - 20*p**4 + 8*p**4.\nAnswer: -3*p**2*(p - 1)*(4*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -160*k**5 - 256*k**5 - 41*k**5 + (-1 - 1 + 0)*(5*k**5 + k**5 - 5*k**5).\nAnswer: -459*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 10*l**2 - 17*l + 10. Let k be z(-9). Let c be k\/26 - (-28)\/(-182). Solve -2*r = 5*q - 20, 2*q - 4 = c*r + q for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3571831 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 31 + -96 - (-9 + 37)\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-13)\/u)*u**(-26)*((u*u**(-11)*u)\/u*u)\/((u*u\/u**(9\/7))\/u))**(-1\/3) assuming u is positive.\nAnswer: u**(46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -p + 1\/420*p**8 + 3\/10*p**4 + 0 + 7\/75*p**6 + 4\/15*p**3 + 16\/75*p**5 + 4\/175*p**7 + 24*p**2. Factor d(i).\nAnswer: 4*(i + 1)**4*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 239095.87\nAnswer: 956383.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/9*-4*(-7)\/(-98).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3415207 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p - 42. Let f(j) = 3*j - 41. Give -3*f(u) + 2*y(u).\nAnswer: -u + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*((n**(2\/15)\/n)\/n*n)\/n*n**(9\/4) assuming n is positive.\nAnswer: n**(83\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4.36 * -0.5\nAnswer: 2.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 1 + 0 + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1762087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 10100111100111001?\nAnswer: 10100111100111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-9)*(-3)\/7)\/((-224)\/(-784)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 3*c - 1. Let w = -1 - 3. Let v be g(w). What is the highest common divisor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.18 (b) -21\/10 (c) 0.3 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 0*s - s - 4*s + 3 + 2. Let l(g) be the third derivative of -g**4\/4 + g**3 + g**2. Give -3*l(u) + 4*q(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240) + (sqrt(240) - (sqrt(240) + 1*sqrt(240))))\/sqrt(4) - sqrt(360)\/(-1*sqrt(6)))\/(1*(sqrt(12) - (sqrt(192) + sqrt(12))) - sqrt(4800)).\nAnswer: -sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -96, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 11*y + 3. Let h = -76 + 41. Let m = h - -24. Calculate the remainder when 8 is divided by n(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*z = 31*z + 5. Let n(s) = s**2 - 6*s - 2. Let a(p) = p. Calculate z*n(y) + 5*a(y).\nAnswer: y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -24*x. Let d(r) be the first derivative of -5*r**2\/2 + 8*r + 2783. Determine d(c(l)).\nAnswer: 120*l + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r + 9 + 51 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3, 8, 17, 18, 5, -28, -87?\n\"Answer: -w**3 + 5*w**2 + 3*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*x - 5, -15 = 4*n - 3*x for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**3 + 9*k**2 - 53*k + 23. Is s(17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h. Let o(w) be the second derivative of 11*w**3\/3 + w**2 + 18*w. What is o(g(c))?\nAnswer: 44*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from oooxoxxxod.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 4*p + 8. Let a be s(-4). Suppose -a*d = -4*d - 8956. Suppose -1437 = -3*m - z - 102, 5*m = 3*z + d. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 209, 1644, 5539, 13124, 25629?\nAnswer: 44284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68785680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 b when two letters picked without replacement from xgggxxbxbbxbxhgexxbx.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03416 - -0.14584. Which is the closest to z? (a) -0.1 (b) -5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/10)\/(((-80)\/10)\/40)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3051 (base 7) to base 3\nAnswer: -1110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -351, -674, -997?\nAnswer: -1320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -43, -10, -4, 1 in increasing order.\nAnswer: -43, -10, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2167 + -5.\nAnswer: -4.7833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88 or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5163796?\nAnswer: 2, 11, 47, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -71, -83?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 14361000 to the nearest 100000.\nAnswer: 14400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30.5944 + 30.9. Let v = -0.5 - -0.2. Let o = r + v. Round o to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276770.\nAnswer: 2, 5, 13, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8714080 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n + 1683 - 3375 + 1684 to w*n + p and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3368465319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((280\/(-88) - -5) + -1)\/(9\/78). Solve -42\/11*p**2 - k*p**4 - 24\/11*p**5 - 6\/11*p + 0 - 90\/11*p**3 = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110114, -220228, -330342?\nAnswer: -440456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -140.503 + 0.003. Let x = f + 141. Which is the closest to x? (a) 2 (b) 0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -518, -520, -522, -524, -526?\nAnswer: -528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5707, 5, -4, 0, 1, -2\/7 in increasing order.\nAnswer: -4, -2\/7, 0, 3\/5707, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17627, -17619, -17613, -17609, -17607, -17607?\nAnswer: -17609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 at most as big as 227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13496 and 4216536.\nAnswer: 29515752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 28*a - 50. Let f be i(-26). Let m be 1\/(f*(-6)\/72). Is -24 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1737 - 1251. Calculate the greatest common divisor of 54 and q.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -13*t + 8, 108789*t - 5*l = 108791*t - 49 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -677 - -732. Let q = 384 - s. List the prime factors of q.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2932 - -2927. Let v = -69 + 33. Is 9 a factor of -1 - (v - (o + 1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-20.57.\nAnswer: -164.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -722400492 divided by 6.\nAnswer: -120400082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 789.0000672 + -789. Round s to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1441550 (base 6) in base 9?\nAnswer: -136323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**4 + 1500*q**3 = 0. What is q?\nAnswer: 0, 300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 + 170*p - 62*p to m + s*p and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4095271 + -4095269.00000075. Let p = n + -2. What is p rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 71*q - 219*q + 69*q + 74*q. Let u(t) be the third derivative of -11*t**5\/60 - 2*t**2. Determine u(d(v)).\nAnswer: -275*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 10, r: 2, d: 3}. Give prob of sequence dlll.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31.5 - -31.5816. Let v = 67.9184 + t. What is the biggest value in -0.1, -0.3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -4, -0.5, -2.1 in decreasing order.\nAnswer: -0.4, -0.5, -2.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uouut. What is prob of sequence tuo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -95\/31244 or 0?\nAnswer: -95\/31244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01680471 rounded to three dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-6)\/8)\/(3 - (-153)\/(-48)) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63 - -36. Let r = j + 46. Calculate the remainder when 0 + -1 - (4 + -61) is divided by r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -15771*y**2 - 7*y + 40. Let n be r(4). Let f = n - -100929653\/400. Calculate the common denominator of -31\/10 and f.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 235767 and 686700?\nAnswer: 2289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1.2888 times 7680\nAnswer: 9897.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -5*v + 29, 6734*v - 14 = 2*i + 6732*v for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 1 = 26*i - 21*i, 0*v = -3*v + 11*i + 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.49564 weeks in hours?\nAnswer: 923.26752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -n**8\/336 + 11*n**6\/360 - 26*n**3\/3 - 4. Let h(u) be the third derivative of g(u). Find the third derivative of h(z) wrt z.\nAnswer: -120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -149 greater than or equal to -103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**5 + 0*o - 1\/3*o**2 + o**3 + 0 + 1\/3*o**4 = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y\/(y**(-1\/7)*y)))\/(y\/(y*y**(-4)*y*y)))\/((y\/(y\/(y*y*y\/(y**(-3)\/y*y))))\/(y*y\/((y\/y**(-1\/2))\/y))) assuming y is positive.\nAnswer: y**(-93\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -961 + 965. Solve -f*d + 8*d = -16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -327675710\/1167887 - 2\/166841. Are -281 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9, 0.24, -123, -721?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, q: 5, d: 1, f: 2}. What is prob of sequence mdf?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 0.2, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by (-350)\/(-30) - (1\/(-3))\/1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - 544\/16 - (-1 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 391430.48 from 11437.\nAnswer: -379993.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3429*r - 4*d - 34 = 3432*r, 4*r + d + 28 = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x + 0 - 4*x + 0. Let b(c) = 10*c**2. Give b(q(g)).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -7*m + 10. Let n(s) = s - 1. Let c(z) = -5*n(z) - p(z). Determine c(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 728060*-9\nAnswer: -6552540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b**2. Let a(z) be the first derivative of 17*z**3\/3 - 36. Determine c(a(x)).\nAnswer: -1156*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012693135 rounded to 5 dps?\nAnswer: 0.00127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 11:33 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 13*h**2 + 8*h - 9. Let m be z(-12). Let l = 97 - m. What is the remainder when l is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310153572?\nAnswer: 2, 3, 8615377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 4*o + 5, -p = -2*o - 5. Suppose c + p = 6*c. Suppose -n + 5*n = c*z - 69, 4*n = -z + 23. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0 + (13 - 2) + (0 - 9) + -21\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m - 16*m - 3*p = -38, -4*p = 2*m + 30. Sort -2\/7, -0.4, 0.5, m in descending order.\nAnswer: 0.5, -2\/7, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -1\/60*o**5 + 0 + 0*o**4 + 19*o**2 + 0*o + 0*o**3. Let n(s) = 10*s**2 - 11*s**2 - 15*s**2. What is w(n(g))?\nAnswer: -256*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-30)*(3 + -2) + (-10 - (-16)\/5)?\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 2\/5 (b) 49\/3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49758268 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87276398 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 29057030, 29057031, 29057032, 29057033, 29057034?\n\"Answer: m + 29057029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15376054*v**5 + 23774152*v**2 wrt v?\nAnswer: 922563240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 - 65*b**2 + 23*b**2 - 85*b**2 as v + q*b + u*b**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31*o**6 - 5*o**5 + 3*o**4 + 4481*o**2?\nAnswer: 3720*o**3 - 300*o**2 + 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + (-23 - (5 - 2)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jcjjfcnvjnvjcpvcjp. Give prob of picking 2 c and 1 f.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.313398364 to 3 dps.\nAnswer: -0.313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + 12*k + 2 = 6*k + 6*k - k, 3*m - 17 = -4*k for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9492439?\nAnswer: 11, 727, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 2*a - 7316, 17*h + 3*a - 7320 = 14*h. Suppose 3*l + 2*i = 3*i + h, -6 = 2*i. What are the prime factors of l?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2749 - -12699. List the prime factors of b.\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4598) + (sqrt(4598)*-2*6 - sqrt(4598)))*-3)\/(-6*((sqrt(18) - sqrt(54)\/sqrt(3)) + sqrt(2) - sqrt(2)*-2*-5)).\nAnswer: 22*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -7*r - 572. Suppose 2*a - r - 15849 = w, 32267 = 4*a - 3*w. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -w**3\/3 + 2*w - 5. Differentiate n(j) wrt j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 5*n**2 + n - 3. Let s(z) = z**2 - 1. Let x be (-16)\/(-3) - 4\/(-6). Let k be x\/(-4) - 132\/(-8). Let t(l) = k*s(l) - 5*c(l). Solve t(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 14009*p**2 - 4*p + 1109. Let m(a) = -6957*a**2 + 2*a - 555. Let n(u) = -2*k(u) - 5*m(u). What is the second derivative of n(d) wrt d?\nAnswer: 13534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53095?\nAnswer: 5, 7, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*l - 3*v, 0*v + v - 2 = 0. Let g(x) = -x**2 + 3*x + 2. Let r be g(l). Let z be (-13)\/52 + (-42)\/r. Solve z*d + 2 = -13 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24732 and 2916.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**2 + 4*n + 2. Give o(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 868 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 679*g - 57. Let x be d(7). Let j = -24 - 6. Is 13 a factor of 4\/j - x\/(-120)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13420 (base 5) in base 9?\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -143 (base 5) in base 15?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 + 44. Let i(b) = -743236*b. Calculate i(r(c)).\nAnswer: -1486472*c**2 - 32702384","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 94 + 17 = 0. What is the greatest common factor of 333 and l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3535.42228 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 6*t**2 + 6*t + 10. Let u be j(7). Suppose -2*o = u - 25. Solve -3 = 2*z - o for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5.08247, 1, 19?\nAnswer: 5.08247","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-1)*j*j**(-2\/3)*((j\/(j**(-2\/7)\/j)*j)\/j)**27*(j*j**(6\/7)*j*j\/(j**7\/j*j))**(-6\/11) assuming j is positive.\nAnswer: j**(1339\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from {h: 3, w: 4, k: 1, v: 10}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 614 (base 11) in base 13?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11999 and 5?\nAnswer: -59995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 141 = -v, -2*v + 714 = -x + 6*x. Calculate the highest common divisor of x and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 373 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -900 divided by 50?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*c**4 + 4467*c**3 + 9996*c**2 + 2220*c = 0. Calculate c.\nAnswer: -370, -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-18)\/(-3))\/3)\/(1\/(-1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + u + 2. Let i be a(3). Suppose -4*m + i = -0*m. Calculate the remainder when 30 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99614?\nAnswer: 2, 49807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 y when three letters picked without replacement from {f: 5, q: 1, y: 5, k: 2, h: 3}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.383852 and 56331785?\nAnswer: 56331784.616148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1051*k*t**4 + 2628*k*t - 18451799*k - 2*t**4 wrt t?\nAnswer: -4204*k*t**3 + 2628*k - 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18\/11 - 545\/44. What is the common denominator of p and 30\/17?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -61528*m**4*w**2 + 15217*w**2 wrt m?\nAnswer: -246112*m**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -21, 1, 27?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**3 - 2*k**2 + 637853*k + 797439 wrt k.\nAnswer: 6*k**2 - 4*k + 637853","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55273592 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 9*p - 24. Let y be w(-6). Let d(n) = -n**2 - 7*n - 3. Determine d(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5039322 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*-1*sqrt(150))\/(sqrt(20)\/sqrt(4)*5))\/(3*sqrt(50)\/sqrt(5) - 3*(sqrt(10) + 2*sqrt(10))))**2.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 2\/(32\/(-200)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36155756 by 28.\nAnswer: -1291277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v + v + 6*i = -10*v - 5, 19*v = -i - 135 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1879437 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 135551053 (base 7) to base 4\nAnswer: 202001300200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kbb when three letters picked without replacement from aakbb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -33. Let g(s) = -s**3 + 6*s**2 - 3*s - 7. Let n be g(2). Solve -3*m = n*j - 3, m - b = -m for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -9. Suppose q*u - 30 = -h - u, 3*h = -2*u + 92. Is h*(36\/(-16))\/(-3) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1666 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 30 - (19 + -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*q + 69 - 209 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14 and -222054.24.\nAnswer: 3108759.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38989 and 1241044.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.08 - 0.0706. What is x rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02 + -0.42. Let z = i + -0.1. Let f = 40841 - 40839. Which is the third smallest value? (a) -3 (b) -5 (c) z (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 12233035.\nAnswer: 110097315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(11) + (sqrt(110)*1)\/sqrt(10) - (3 + sqrt(22)\/sqrt(2))) - (sqrt(88)\/(sqrt(24)\/sqrt(3)) + -4 + sqrt(88)\/(sqrt(8) - sqrt(200)*-2)).\nAnswer: -67*sqrt(11)\/11 + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r - 1 + 8*r - 4*r.\nAnswer: -3*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 1 = -14. Suppose -p - 4167 = -q*n, 4*n - 2*n + 2*p = 2778. Let a = n + -670. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*6\/(-15)*10. Let x = 25 - s. What is the units digit of (3\/4)\/(x\/180)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204039.5 rounded to the nearest 100?\nAnswer: 204000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -155cc (base 14) to base 6\nAnswer: -1050424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -208 - 176 - 68*b - 3*b - 27*b + 2*b**2 + 72.\nAnswer: 2*(b - 52)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19013184.\nAnswer: 2, 3, 11003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-70)\/(-3) + 44\/(-33). Let j = 121 - 2156. Calculate the common denominator of 1\/(-20)*j\/t and 39\/28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 6*v**2 + 4. Let s be f(-6). Let g(r) = 9*r**2 - s*r - 6*r - r**3 + 2*r + 3. Let h be g(6). What is the greatest common factor of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - c - 26 = 0. Let w be (-2)\/((-28)\/c + -3 + 4). Let y(t) = 12*t + 1. Let p be y(2). Which is smaller: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)*d*d*d**(2\/13)*(d*d*d*(d**(-1\/8)\/d)\/d)**13)**(-7\/2) assuming d is positive.\nAnswer: d**(-6937\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.991 - -0.991. Let x = 0.03 + 16.97. What is the second biggest value in d, -5, x, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1488935 divided by -15673\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifteen quarters of a hour?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3.4 - -714\nAnswer: 717.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 + p**2 - 5*p + 1. Let r be s(0). Let n(q) = -q**2 + 4. Let g be n(-3). Let c be (g - -5)*(0 - r). Is c smaller than 2\/87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3 - i + 7*i + 0*i. Let p = 96 + -97. Let f(l) = l + 1. Let u(q) = p*b(q) + 3*f(q). What is u(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345*l = -74*l - 187*l + 2436 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 396 by -22.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = i - 9, i - 10 = 4*n + 1. Suppose -i + 8 = -p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4867 + 29089\/6. Find the common denominator of d and ((-160)\/(-24))\/(2\/(-12)*13).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*p - 0*p. Suppose -4*m = -0*m - 3*d + 86, m + 3*d = -14. Let f be -4*2\/m - 6\/15. Solve -p*q + f = -4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14617 + -14617.00011609. What is h rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4419 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 279 divide 6282522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7196.7 - -1933.7.\nAnswer: 9130.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 60, 10.8 in decreasing order.\nAnswer: 60, 10.8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26249.40098 + -26246.1. Let r = -118 + 121.3. Let g = r - m. What is g rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 a factor of 138246600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -649*z. Let n(q) = 1550458*q. Give -9555*l(i) - 4*n(i).\nAnswer: -637*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14\/3*g**4 - 74\/3*g**3 - 70\/3*g + 118\/3*g**2 + 4 = 0. What is g?\nAnswer: 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 4)*(731*k**4 - 359116*k**3 + 38*k**4 + 359116*k**3) to the form f*k**2 + r*k + u*k**4 + y*k**3 + a and give u.\nAnswer: 769","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -32*y**2 + 58*y + 1. Let g(l) = -27*l**2 + 57*l + 1. Calculate -4*g(v) + 3*o(v).\nAnswer: 12*v**2 - 54*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21251161 to the power of 1\/2, to the nearest integer?\nAnswer: 4610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/7366804 and 99\/68.\nAnswer: 125235668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/(-102))\/((-4)\/1).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1014812*u + 2.\nAnswer: 1014812*u","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 125 - -2?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/90 and -163\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m**3 - 3*m - 14*m + 17*m - 4*m**2 + m + 1 - 5*m to s + v*m**2 + n*m + r*m**3 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76868 and 748?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*c + 5*k - 14, -4*c = -k - 7. Solve 0 = r + c*v - 14, -r = 4*r + v for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 18, 2*m + 5*k + 870 - 835 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43069 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 5, -0.3, -2.\nAnswer: -2, -3\/5, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -7*q**2 - 8*q + 3. Let f(r) = r**2 + r - 1. Let k(o) = -3*f(o) - u(o). What is the second derivative of k(z) wrt z?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -640 + 640.0244. Let k = i - -0.0356. Let s = 2 - -1. Which is smaller: k or s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/7, 1, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 5*l - 4. Let n be z(6). Let g = 175 - 168. Differentiate -x**2 - g + 6*x**2 - 11*x**n - 6*x**2 wrt x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6238516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 164 + 121. Suppose 0 = 5*h + 15 - i. Suppose -2*v + 4*l + h = 0, -5*v + 0*l = 3*l + 12. Solve -2 = j - v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + 22 + 1 + -25\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/6 bigger than 81.8762?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jju when three letters picked without replacement from {q: 2, f: 1, j: 3, u: 1, y: 4, h: 4}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -112, -284, -516, -808, -1160, -1572?\n\"Answer: -30*r**2 - 82*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 10. Let i = h + 2. Let r(k) = -1. Let t(z) = 2*z + 64. Let f(d) = -2*d - 42. Let o(m) = 3*f(m) + 2*t(m). Determine i*o(b) - 3*r(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 908 and 5492492.\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1\/2, -2\/11, -3\/14, -22 in increasing order.\nAnswer: -22, -3\/14, -2\/11, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15095 is divided by 7520.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -4*s + 48, 16 = -2*p + 4*s - 14. Let j be p\/10 - (-15 + 11 - -3). Let n = 0.2 + -1.2. Do n and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113 - (-32 + (71 - 176)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iipb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*g. Suppose g*c = -2*c + 24. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(1*(-18 - -16)\/((-6)\/(-15))). Solve -5*j - 28*j + 165 = w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/6*((-1080)\/2115)\/(-4)?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61\/2 - 30. Let d(c) = c + 5. Let o be d(-4). Let n = -1 + o. Is l bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -85*r**2 - 5*r + 2763 with respect to r.\nAnswer: -170*r - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*d**2 - 4893384*d - 124714619643 = 0.\nAnswer: -203891\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 353, 4, 3, -99, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -7*c**3 + 148*c**2 - 14*c - 172. Calculate l(21).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**3 + 3*c**2 - c**3 - 23 + 24 + 4*c. Let s be g(-2). Put -0.5, 5\/3, s in ascending order.\nAnswer: s, -0.5, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6502949 * -18\nAnswer: 117053082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.8 + -0.8. Let o = -6 + 6. Which is greater: n or o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4219808 divided by -527476\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.32 + -0.4. Let r = f + 1.08. Which is the nearest to r? (a) -4 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38004 - 37935. Solve -43 = -16*z + m for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**33\/a)\/(a*a*a**(6\/13)*a*a*a)*a**25\/(a*a**(1\/18)*a) assuming a is positive.\nAnswer: a**(11579\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x**2 - 5*x - 2. Let q(v) = -2*v**2 + 2*v + 1. Let m(w) = 3*c(w) + 8*q(w). Let l be m(0). Suppose -l*u + 5*u - 39 = 0. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmqjmrzmmbm. What is prob of sequence jrm?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11602064 divided by -2.\nAnswer: 5801032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*v - 16, 0 = -5*o - 3*v + 2 - 25. Let t be 7\/4 + 2\/8. Let i be t\/(-2) - (-1 - -2). Sort i, 0, o.\nAnswer: o, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -13 - 3 - (0 - -5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 1. Let f(c) = -79*c**2 + 6. Calculate f(b) + 6*o(b).\nAnswer: -73*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2. Let i(a) be the second derivative of 0*a**2 + 46*a + 0 + 31\/2*a**3. Give x(i(f)).\nAnswer: -8649*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 + 75. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 11*q**2 - 13*q - 10. Determine k(12).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -89*k**2 + 2062*k + 1737. Calculate d(24).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 209 - -271. Suppose -2*q + c + 486 = 0, -2*c = -4*q + 6*q - x. Calculate the lowest common multiple of q and 16.\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*q = -32*q + 14 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 689*p**3 - 5 - p**4 - 3*p**2 + 7*p**6 - 689*p**3 wrt p.\nAnswer: 840*p**3 - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 17*h + 132. What is b(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j + 4*j - 2 - j. Calculate the least common multiple of c(-10) and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -332220 - 4?\nAnswer: -332224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8617 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 - 5 - 0\/2. Solve 0 = -0*u + 2*u - h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 132.7904cm?\nAnswer: 1327904000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccclclccl. Give prob of sequence cccc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2436753*p**5 - 2*p**4 - 4*p**2 + 5901251*p wrt p.\nAnswer: -146205180*p**2 - 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2027941 (base 10) to base 6.\nAnswer: -111244341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -d + o - 1, -8 = 5*d + 2*o. Calculate the remainder when d - (2*-26 - -1) is divided by (-80)\/(-6) - (-1)\/(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 24 = 6. Suppose -3*y**3 - 7*y - 2*y**4 + 7*y + y**5 + y**3 - u + y + 4*y**2 = 0. Calculate y.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 13*g + 2.\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2976 - -8956\/3. Let g = 237 - 10190\/43. What is the common denominator of f and g?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011001101 - 111?\nAnswer: -1011010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37049742?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 2\/25 (c) -1656 (d) 5 (e) -30 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2630 is divided by 197.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4\/5)\/(f*f**(2\/3)) assuming f is positive.\nAnswer: f**(-37\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 m, and 1 i when four letters picked without replacement from maimigggsgmg.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.268 and 2.\nAnswer: 1.732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -73594\/33 - -633425\/462. Let w = 861 + g. Let k = -191\/98 - 48\/49. What is the common denominator of w and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 710662290?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2866210000 rounded to the nearest 1000000?\nAnswer: -2866000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p**2*x**3 - 26*p**2*x**2 + p**2*x + p**2 - p*x**2 + 4*x wrt x.\nAnswer: -12*p**2*x - 52*p**2 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*977079\nAnswer: 488539.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (0 - (-12)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16)\/(sqrt(32)\/sqrt(8)) - 2*sqrt(400))\/(-4*(sqrt(200)*-2 + (sqrt(128) + sqrt(128) + sqrt(128) + sqrt(128)*-2 + sqrt(128) - sqrt(128)))))**2.\nAnswer: 361\/1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**3 - 2*p**2 - 2*p - 1. Let j be l(-2). Suppose -r - 2*u + 6 = -j, -5*r + u + 85 = 0. Suppose 0 = 5*y - r - 173. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -6*t - 11. Let j be a(-2). Sort 3, -2, 0, j in increasing order.\nAnswer: -2, 0, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3218*q - 16135. What is a(6)?\nAnswer: 3173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 15 = -3*p, -35*p = -31*p + 3*d - 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/20753862 and -119\/18.\nAnswer: 62261586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b**2 + 26*b - 38. Let p be f(4). Do p and -1008 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*i + 11*i + 2*i)*(3 - 17 + 3).\nAnswer: -319*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73982 is divided by 1681.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) 1220 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.97 times -827372?\nAnswer: 6594154.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 11*a**3 + 4*a - 4. Let x be (-2 - -8) + (3 - 7). Let q be g(x). Suppose 2*f + 2*f - q = 0. Calculate the remainder when 66 is divided by f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -94, -4, 1, -254.\nAnswer: -254, -94, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x. Let u be n(-2). Let i be 0 - 1 - (-24)\/u. Let q(j) = -j**2 + 7*j - 1. Is q(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/20*48935\/4. Let l = 10043 + -17998. Let q = y + l. What is the common denominator of 121\/6 and q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 233 = 4*i - 35, -3*a = 9. Calculate the greatest common divisor of i and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11600922*z**2 + 17346304*z wrt z.\nAnswer: 23201844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 5*a + 18 + 5, -4*p + 5*a - 122 = 0. Let x = p + 68. List the prime factors of x.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/2321 - 78928\/16247. Let h be (70\/(-56))\/((-2)\/(-4))*3326. Let u = -116461\/14 - h. What is the common denominator of g and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -96 - -675\/7. Let u = 13 + -10.8. Let h = u + 0.8. What is the third smallest value in -3, m, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76 + -34. Let o = -11 + w. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 96*h + 43. Let y(i) = 45*i + 20. Let b(q) = -6*o(q) + 13*y(q). Let m(v) = v. Determine m(b(p)).\nAnswer: 9*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4127309 is divided by 1355?\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**2 + 4*x**2 - 4*x**3 + (-4 - 1 + 3)*(2*x**3 - x**3 + 2*x**3) - 14*x**3 - 13*x**3 - 27*x**3.\nAnswer: -64*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrxwwccttxdw. What is prob of sequence xx?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -18 (c) 3\/2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h**2 - 2*h**2 + 3*h**2. Let n(j) = 2*j**2. Give t(n(c)).\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5273122 times -0.5\nAnswer: 2636561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106775?\nAnswer: 5, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 4*s**2 - 5*s - 2. Let x be j(-3). Which is the third biggest value? (a) -0.4 (b) x (c) 1\/5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2434846349 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12100001001111 (base 3) to base 9.\nAnswer: -5301044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/13 (b) 40 (c) 2.465\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -39, -45, -51?\n\"Answer: -6*q - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oj when two letters picked without replacement from ojnjjtnjjunojjjnnj?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 4*i + 40, 5*w - 130 = -0*w - 4*i. Suppose 3*n = -3*n + w. Suppose n*o = -2*r + 103, -106 = -3*r - 4*o + 31. Is r a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, u: 2, r: 14, j: 1, a: 2}. What is prob of sequence ar?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 8:27 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -151559 bigger than -151561?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v + 30*z + 44*z + 903 = 77*z, 0 = -v - 4*z - 86 for v.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 159586225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -628950?\nAnswer: -628950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-5 - (-2 + 5)) + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1757167 and -2.\nAnswer: -3514334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/234 and -113\/80294004.\nAnswer: 1043822052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 4. Let b = 739 + -738. List the prime factors of -3 + d + (b - -44).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ynymnyieniinyik. What is prob of sequence enni?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 67474950973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*f + 6 = 0. Let d = 207 + -207. Suppose d*u + 105 = f*u. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 5*y**2 + 3*y - 12. Let m be h(5). Sort -1, m, 4, 5 in ascending order.\nAnswer: -1, m, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61 + 63. Suppose 3*r - 135 = -3*i + 2*i, 4*r - 178 = -z*i. Suppose 4*v - 3*b = -49, -v + r = -5*v + 2*b. Which is smaller: -29\/3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/32754952 and -65\/112.\nAnswer: 458569328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4 + 22454*q**3 + 1275546*q**2 + 24207938*q + 153230060.\nAnswer: 2*(q + 19)**3*(q + 11170)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 116865*i - i**2 + 223 - 116541*i + 563 wrt i.\nAnswer: -2*i + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 15, 4*k = 3*i - i + 30. Let z(q) = -3*q - 5. Let x(a) = 19 - 35 + 20 + 3*a. Calculate i*x(u) - 4*z(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*4*-1*(sqrt(121) + -2*sqrt(121)))\/(sqrt(110)\/sqrt(90) - (sqrt(891) + sqrt(891) + 2*sqrt(891))).\nAnswer: -48*sqrt(11)\/107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 0.1266, 2, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 65*f - 35. What is m(76)?\nAnswer: -871","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -182845 - -182502.426. Let m = -343 - p. Round m to two dps.\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.1709 + 7.6601. What is u rounded to one decimal place?\nAnswer: 9.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 9*x**2 + 7*x - 13. Calculate z(9).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**3*m**2 + 8*d**3 - 34*d**2*m**2 + 10*d**2 wrt d.\nAnswer: -6*m**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -24\/145, 4, 1, 0.1 in increasing order.\nAnswer: -3, -24\/145, 0.1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.987 - 8.987. Let q = 2.5 - 0.5. What is the closest to w in 0.25, 1, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 13*o**2 + o + 7. Is i(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002385 to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q + 146. Let m(s) = 11*s - 294. Let t(k) = 2*m(k) + 5*u(k). Find the first derivative of t(a) wrt a.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 + 39. Let k be ((-44)\/24)\/(-11)*y. Let 1\/3*u**5 - 2\/3*u**2 + 1\/3 - 2\/3*u**3 + 1\/3*u**4 + k*u = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*c**6 - 2*c**4*y + 23*c**3*x*y + 13*c**2*x*y + c - 7*x*y wrt c.\nAnswer: 3240*c**3 - 48*c*y + 138*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7971 divided by 2.\nAnswer: -7971\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2493 + -2427. What is the remainder when 111 is divided by x?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -39878*s - 79730. Calculate p(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18 - 9\/(21 - 12). Solve 21*z - b*z - 24 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/17 and -1 + (-7)\/(63\/4).\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 66, -14, 0.4, 11 in decreasing order.\nAnswer: 66, 11, 3, 0.4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 161 and 160 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31.44 and -0.8.\nAnswer: 25.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 8:44 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i**3 - 26*i**2 + 45*i + 280. What is g(4)?\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*l**2*w*x**3 + l**2*w*x - l**2*x**3 - 3*l*w*x**2 - 52*l*w*x - w*x**3 - x wrt l.\nAnswer: -26*w*x**3 + 2*w*x - 2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - 0.2. Let y = 269 - 268.9. Which is the closest to y? (a) 1 (b) 0.4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t**2 + 2*t**2 - 3*t**2)*(-t + 302 - 308 + 4*t) as c*t**3 + j + k*t + w*t**2 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02084786327 rounded to three decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m - 5*m**4 + 775 - 14*m**4 - 102*m**3 + 97*m**3 wrt m.\nAnswer: -228*m**2 - 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 27*g**5\/20 - g**4\/8 - 35*g**3\/6 - 105*g**2. Is f(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/279750 and -28\/561.\nAnswer: 52313250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 + 23*g**2 + 64*g + 1269. Give c(16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 13. Let a = -3583 - -3653. What is the lowest common multiple of k and a?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11669 - 11849. Are -180 and m unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255638377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -143, -1221, -3021, -5537, -8763, -12693?\n\"Answer: i**3 - 367*i**2 + 16*i + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -5*m + 13, 2 = -8*m + 6*m + 4*r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (((-3)\/2)\/3)\/((-3)\/1554)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 17 - (160 + -176)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3348151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 12:40 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b - 2*b**2 + 1 + 17*b - 12*b + (-2 + 1 + 3)*(-b - b**2 + b).\nAnswer: -4*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 + 1.94. Let m = -33.8 + 33.6. What is the third smallest value in u, -0.1, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -3*f - 90, -2*g + 223317*f = 223316*f - 30 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a - 38*a**3 + 44*a**3 - 54*a + 30*a**2 - 3 - a**4 - 31*a**2 as z*a**2 + r*a**3 + u + w*a**4 + d*a and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/2745 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*f - 132*f - 434 - 1198 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (1 + 2 + 6 + -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a decade in months?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o**6 + 83*o**5 + 8*o**2 - 56*o?\nAnswer: -360*o**3 + 4980*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 322115 - 0?\nAnswer: 322115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**7\/105 + 7*h**6\/60 - h**5\/2 + 3*h**4\/4 + 8*h**2. Find j, given that l(j) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40572 a multiple of 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1268143, -1268138, -1268133, -1268128, -1268123?\n\"Answer: 5*w - 1268148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 - -0.3. Let w = 16992 + -16994. Which is the closest to -0.1? (a) 7 (b) w (c) i (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b - b**3 + 2*b + 2*b + 9 + 2*b - 5*b**2. Let x be u(-6). Let p = -5 + 50. Calculate the greatest common divisor of p and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/12 and 113\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmlgggggmgggggggg. What is prob of sequence mmgl?\nAnswer: 13\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21011 divided by 2?\nAnswer: 21011\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 - 2331*h + 35 - 1346*h to the form o + n*h and give n.\nAnswer: -3677","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 13 - (-17 + 24).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4) - (-30)\/4. Suppose 3*c - 5*o = -4, 12 = -c + 5*o - 6. Solve -k = -3*a - c, 3*a + x = -k + 3*k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13474734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 85465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*u + 6*u + 14. Solve 9*z - 33 = -u*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165 + 151 + 6 + -3 + -1 + 4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*q**2 - 2*q**3 - 28*q**2 - 6*q + 5*q - 1 to c*q**2 + y*q**3 + u + j*q and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -32*u + 279. Calculate j(8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 36976998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 627 and 6567?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 10*f - 8*f - 12*f**3 + 10*f. Let n(q) = -q**3 + q. Calculate -10*n(x) + v(x).\nAnswer: -2*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjj when three letters picked without replacement from hhjjhh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 196 + -184. What is the least common multiple of x and 123?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 14. Suppose 5*p - 100 = 15*p. Let x = p + m. Sort -7, 2, x.\nAnswer: -7, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2 = 6. Let d = j - -5. Is (-6)\/d + (-293)\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.85858 rounded to two decimal places?\nAnswer: -25.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y = -23*y. Let f(d) = -d**2 + d - 4. Calculate f(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 3*l)*(-1 + 4 - 2)*(2*l**2 - 2*l**2 - 2*l**3) as x*l**2 + h*l**3 + o*l + p*l**4 + r and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*j - 39*j + 29*j**2 + 8*j**2 in the form d*j**2 + u*j + b and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*n**2 + 23788*n - 6121437 wrt n.\nAnswer: -48*n + 23788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -3, -100, -5, -51, -2 in descending order.\nAnswer: 4, 1, -2, -3, -5, -51, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -522 + 526. Suppose -20 - 12 = 2*p - 5*g, 2*p - 2*g = -32. Which is the third biggest value? (a) 5 (b) p (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -60?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of j**6\/72 + 7*j**5\/12 + 65*j**4\/24 + 166*j**3\/3 - 158. Let w(s) be the third derivative of c(s). Determine r so that w(r) = 0.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * -1159.5\nAnswer: -23.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 14 = -2. Let k(p) = 3*p - 1 + 3*p - p - 2*p. Calculate k(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 30 = -142. Suppose 0 = -3*p - w + 642, 0 = 4*p + 3*w - 6*w - 869. What is the greatest common divisor of p and s?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (383*t - 24*t - 1712*t)*(-4 + 5 + 0).\nAnswer: -1353*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.25 + -4.2. Let x = 37.9 - 38. Let t = -6 + 13\/2. What is the nearest to f in t, -1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + -9)\/(2\/(-1)). Suppose -3*z + 4*z = -c*t + 26, -4*t = 5*z - 42. What is the least common multiple of (63\/30*-2)\/((-6)\/20) and t?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1333?\nAnswer: 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*c + 21530 + 4901 = 0, 4*f - 2*c = 35224. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1af378 (base 16) in base 5?\nAnswer: 423010024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 6*x**2 + 5. Let b = -3472 + 3465. Calculate j(b).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three eighths of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 292 + 298 - 1380 + 11*t**2 + 482 - 9*t**2 + 308.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 - 18 - 2*w**4 + (0*w + 3*w**2 + 0*w)*(-1 + 2*w**2 + 1))*(-1 - 2 + 2) as b*w**3 + c*w**4 + n + k*w**2 + a*w and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.3 - 0.7. Let c = 1\/36 - 25\/36. Let g = 0.23 + -0.33. What is the closest to g in c, 3, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*g + 4. Let a(v) = -v**3 - v**2 - 2*v - 3. Let w be a(g). Solve -w = -2*d + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/7109 + -803329\/42654. Suppose 4 = -2*x + 4*x. Find the common denominator of ((-5)\/(-12))\/(x\/8) and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 13*j**2 + 7*j - 10. Let r be k(2). Suppose 50 - r = -3*m. Factor 12*p**m + 8*p**3 + 0 + 0*p + 4\/3*p**4.\nAnswer: 4*p**2*(p + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 3*q, 0*q + 0 = 2*c + 5*q - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**2 - 15*g - 15. Let f be o(-1). Suppose -5*c = f*b - 240, -4*c + 0*b + 171 = -b. Is c >= 42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 10*p**3 + 239*p**2 - 38*p - 368. What is x(-24)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, z: 1, u: 1, a: 3, p: 6, q: 1}. Give prob of sequence pquf.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 5, 22, 57, 116, 205, 330, 497?\nAnswer: 712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 2*h + 5, -4*h = 4*l + l + 11. Suppose 4*m + 12 = 44. Let w = m - l. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15902?\nAnswer: 2, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 + -33. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11451041 (base 6) to base 16.\nAnswer: -58f81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 6*u + 2. Let b be n(-6). Suppose 2*t = 3*z - 1, 0*z - 3*z - b = -5*t. Which is smaller: 16\/7 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 * -0.2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10429*a - 675*a**2 + 10429*a - 4*a**2 + a**2 + 2*a**2 + (-3 + 3 + a)*(0 + 0 - 2*a) + 2 - a**2 - 2 - a**2 - 2*a**2 + 2*a**2 + 5 - 5 - a**2.\nAnswer: -681*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 8, p: 2}. Give prob of picking 1 c and 2 p.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -134 + 35 + 79 + (1 - 13)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/9*x**3 + 0 - 1\/9*x**2 + 2\/9*x = 0. Calculate x.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttofftfottt. Give prob of picking 1 t and 3 f.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8983.131021 + 8988.14. Let f = t + -5.01. What is f rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6080641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 138*a**2 - 8*a + 8. Suppose 2*p = -z + 4*z + 1, 0 = 3*p - 6. Let t be b(z). Which is smaller: 139 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 9:20 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1860 is divided by 98?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2*y*y*(y**(-1\/3)*y)\/y*y\/y**(-6)*y**(-3\/4))\/((y**(-1\/5)\/y*y**(2\/7))\/(y*y**(-2\/7))**(11\/6)) assuming y is positive.\nAnswer: y**(5099\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 0 + -2 - -1. Suppose -y + 7 - v = 0. Is (12\/y)\/((-10)\/(-75)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -54*d - 147. Let u be c(-8). Suppose -4*w = -5*a + 2849, a = 5*w + u + 289. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(10\/(-6))*25. Suppose -c + a = 4*c. Suppose c*q = 8*q - 250. Does 22 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 18. Let m(o) = 13*o + 4. Let u(r) = -364*r**2 - 2187*r - 6. Let v be u(-6). Let g(y) = -32*y - 10. Determine j*g(t) + v*m(t).\nAnswer: -4*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -122.83 - -122.53. What is the smallest value in 24, 1\/3, -1\/3, i, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -333 - -357.9. Let v = m - 24.9000666. What is v rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -35 and 0.01945?\nAnswer: -0.68075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 34391 = y, 3*n - 392*y - 103163 = -387*y. List the prime factors of n.\nAnswer: 2, 8599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-76)\/57 - 2\/3. Let x be 4 - (0 - y)*-2. Solve 4*g - 2*g = -x for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d**2 - 2*d**2 + 0*d**2 + (-14*d + 7*d - 24*d)*(0*d - 5*d + 2*d) to g*d + x*d**2 + j and give x.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 562*u = 567*u - 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*i + 161 + 31 = 0. Let v(p) = -5*p**2 + 5. Let k(u) = -5*u**2 + 6. Determine i*v(g) + 5*k(g).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 60269116639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 18 = 48 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 40, -8, 7, 5 in decreasing order.\nAnswer: 40, 7, 5, 2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = s - 216. Suppose 2*n + 3*n - s = -5*o, -5*o = -5*n - 270. Does 18 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.1045 + -1.1. What is b rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -301107930 rounded to the nearest one million?\nAnswer: -301000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/5, 2\/9, 2, -1.979?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 8:20 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6723998 is divided by 16440.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 12. Let r be -1 - (10\/(-6) + 0). Let v be (0 - 2)\/(-2) - -2. Which is the second biggest value? (a) i (b) r (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24510 a multiple of 258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - 25, 2*w + 19 = -b + 5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6992 is divided by 63.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-150)*165\/1166\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**2 + 868*s + 13376 = 0. Calculate s.\nAnswer: -418, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a week in seconds?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a centimeter in millimeters?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 164129638919.5 from -32.\nAnswer: -164129638951.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2316*((-16)\/(-16))\/(8\/(-28))?\nAnswer: 2, 3, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2822239 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2*i - 1164 + 92, 5*p - 2*i = 1322. Is 14 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from szss. What is prob of sequence ssz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 7. Suppose 3 - 8 = s*p, 3*p - 134 = -b. Let v = 197 - b. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k**3 - 20*k**3 - 3*k**3)*(3 + 0 + 3).\nAnswer: -102*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 46003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 8 = -2. Which is greater: p or 3\/65?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 13*y**2 - 20*y + 30. Calculate l(12).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-66 + (-8580)\/105 - 5\/(-7)).\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 219 and 19.\nAnswer: 4161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-22)\/(-4) - 8)*12\/(-15). Let p(z) = -2*z**2 + 3*z - 4. What is p(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 - 17. Suppose -2*s + s = j. Let m = -14 - s. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 65?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 351 and 10116711.\nAnswer: 131517243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -303 - -277.4. Let y = -14.9 - c. Let p = -5.6 - y. What is p rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233*g + 3105 = 240*g - 446*g. Suppose -97 = -c + 4*d, 375 = 5*c + 4*d - 2*d. Let o = c + -43. What is the remainder when g is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121010 (base 3) to base 2.\nAnswer: -110110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -138, -558, -1266, -2268, -3570, -5178?\n\"Answer: -z**3 - 138*z**2 + z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 2*x**2 + 4*x - 3. Let j be q(2). Let t(h) = 3*h**3 + 2*h**2 + h. Let f(l) = -l**3 - l**2. Determine j*f(n) + 2*t(n).\nAnswer: n**3 - n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -23, -6, 29, 88, 177?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 22*l**2 + 3*l. Let s(m) = 67*m**2 + 8*m. What is -8*r(y) + 3*s(y)?\nAnswer: 25*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1934 (b) 11.4 (c) -28\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 49990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qukuuqqqucgqucq. What is prob of picking 2 c?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 3*k + 2. Let a be z(3). Let l(g) = g**2 + 9*g - 33. Let f be l(-12). Let p(j) = 0*j - 1 - a*j + f*j + 4. Let x(b) = b**2. What is p(x(c))?\nAnswer: c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 703931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53 * 0.76.\nAnswer: -40.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1081*n**4 + 7*n**2 - 146*n - 90*n**4 - 133*n - 6*n**2 wrt n.\nAnswer: 23784*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -0*i + 3*o, 4*i - o = 14. Suppose 0*s - d + 3 = s, 0 = i*d. Suppose -s*k + k - 3*x = -53, x = -5. Does 17 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 - 1 + 1 - 28)*(-3*n - n + 2*n).\nAnswer: 128*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -62394 + 62394. Suppose -4*l + 12 = -0*l + 2*a, -2*l + 4*a - 4 = 0. Let r = 2 - l. What is the closest to p in -0.5, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0508479 times -510\nAnswer: -25.932429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 479, -0.1, 0.3.\nAnswer: -2\/15, -0.1, 0.3, 479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 731033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**3 - 7*p**2\/2 + 7*p + 22. Let x be n(1). What is the second smallest value in -0.2, 2\/9, x, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1946, 0, 3, 4 in decreasing order.\nAnswer: 1946, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*sqrt(1728))\/(((sqrt(90) - (sqrt(90) - (2*sqrt(90) + sqrt(90)))) + sqrt(90) + sqrt(90))\/sqrt(10)).\nAnswer: -8*sqrt(3)\/5 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -138 - 120. Suppose -16 = -3*k - j. Let f = 81 - k. Is 18 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1828*h**2 - 1036*h + 1036*h + 3383*h**2 + 5*h**3 + 7163*h**2.\nAnswer: 5*h**3 + 8718*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12852 and 15858?\nAnswer: 11322612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + v**2 + v + 3. Let x be b(2). Suppose -111 + x = -5*h. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 11:47 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6) - (-22)\/6. Let y = 1010 + -998. Suppose 16 = t*a - y. What is the common denominator of -22\/3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + h + 3*h**2 - 7*h**2 + 0*h**2 + 5*h**2 + (-3 + 3 + 2*h**2)*(-1 + 2 + 1).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05 - -0.05. Let r = 74 + -70.9. Let q = -2.7 + r. Which is the closest to 2\/7? (a) 0.5 (b) f (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w - 1. Let m = 54 + -45. Suppose -5*z + m = 9. Suppose z = 12*v + 9 + 3. What is d(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 1277286.34335?\nAnswer: -1277283.34335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (k + k - 4*k)*(-3 - 3 + 4) + 5*k + 10*k + 5*k as y + f*k and give f.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11.7 (b) 0.1 (c) 3 (d) -0.6 (e) 1252\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 420 and 882696?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 395 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -2\/7 (c) 0.034 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 14*w**2 - 17*w + 32. Let x be k(15). What is the first derivative of -2*j**2 + 5*j**2 - 16 - 3*j**x + 4*j**3 wrt j?\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22 - -16)\/((-2)\/3081) a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62751 or 62753?\nAnswer: 62751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-6) - 87\/(-18). Sort -2\/7, 0.2, k.\nAnswer: -2\/7, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 23 = 77. Let i = z - 18. Find the first derivative of 7 - 8 + i + f + 0 wrt f.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.01 and 290.\nAnswer: 289.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 12:33 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 48, 84, 126, 174?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l + 408 = -31*l + 112*l. Solve 0 = -z + 3, l*w = -z + 5*z + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 + -1430322111?\nAnswer: -1430322132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 + 43 - 2*k**2 + 537*k - 542*k = 0.\nAnswer: -5\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*s**5 + 329*s**4 + 54637*s.\nAnswer: 380*s**3 + 3948*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 10:25 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2*4)\/(2\/(-9)). Let p be (24\/z)\/((-2)\/(-321)). Let t = 90 + p. What is t rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -z - 8, 3*z + 724*v - 8 = 723*v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -17*r**6\/30 + r**5\/10 - r**4\/4 - 17*r**3\/6 - 112*r**2. Is a(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*i - 9 = l, 0 = i + 4*l + 16. Suppose -719 = -i*o + 873. Let y = o - 237. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*u = -7*u, 2*g + 4*u = -4. Let w(q) = 2*q - 10. Calculate w(g).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6*k**2 - 8*k**3 + 2 - 4*k**2 + 7*k**3 - 9*k. Let u be s(-9). Solve -3*n = -8 + u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-4)*2\/(-60)*3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426995358?\nAnswer: 2, 3, 17, 97, 103, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339051?\nAnswer: 3, 113017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -75*14\/(1120\/(-208)). Suppose 3*m + 12 = 33. Suppose 4*y - m*y + h = 0. Is y > 65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -9*k - 2. Let r = 140 + -138. Suppose -16 = 9*q + r. Calculate p(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/w**(10\/9)*w*w)\/w)\/w)\/(((w**(-9)\/w)\/w)\/w)*w**(-6\/19)*w*w\/((w*w*(w*w**(-27))\/w)\/w)*w assuming w is positive.\nAnswer: w**(7109\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9602 and 1027414.\nAnswer: 1027414","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Round -9.34131 to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*1\/(-14)*-16?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/7)*w*((w\/w**(-10\/11))\/w)\/w*w*w)\/(w**(2\/5)*w**(-9)) assuming w is positive.\nAnswer: w**(4651\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2906825695 to the nearest integer?\nAnswer: 53915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 24 = 751*y - 746*y, 4*a + y + 48 = 0 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 7*w**2 + 5*w + 8. Let j be p(6). Suppose -5*x + 142 = 2*a, j*x + a + a - 58 = 0. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppn when three letters picked without replacement from eeeenpeppppepee.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 95 = -11. Let m = 28 - g. Let y = -18 - m. Put 1, y, -3 in decreasing order.\nAnswer: 1, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -8*f + 114. Let b be z(14). Let d = 2 - -1. Suppose -s = b - d, 2*a - 3 = 5*s. Which is smaller: 3 or a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 11\/592, -2\/9, 0?\nAnswer: 11\/592","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 308\/9 + -34. Let s be 50\/20*330\/275. Let a = -12 + 12. What is the closest to s in a, z, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5a15 + 4?\nAnswer: -5a11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*z - 4*z + 9*z - 90 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 12:30 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2 + 10. What is the second derivative of i + i + 4*i + t*i**5 wrt i?\nAnswer: 160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*j**2 + 50*j**2 + 47*j**2.\nAnswer: 72*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155 + -147 + (1 - -11) + 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291 + 244*q**3 + 190*q + 583 - 292 - 188*q.\nAnswer: 244*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -51 or -0.1188?\nAnswer: -0.1188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(11\/6)*z)\/z)**(-1\/8)*z\/(z\/(z*z*z**(13\/4)*z))*z**(-36) assuming z is positive.\nAnswer: z**(-1445\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19517 + -14972. What is the greatest common factor of 45 and p?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*sqrt(12).\nAnswer: -4 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - 29946.\nAnswer: -29931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + -6.7. Let n = 6 + f. Sort -0.5, n, -5.\nAnswer: -5, n, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/9)\/((-1)\/(-9)). Let 25 + 60*l - f - 1 + 4*l**3 + 28*l**2 + 15 = 0. What is l?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.07, 2\/17, 5, -9518?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 7. Let p be h\/4 + 40\/16. Suppose 0 = -p*x + y + 17, -3*x - 2*y + 13 = -7*y. Calculate the remainder when 16 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**2\/4 + 111312171*i + 12390399412733241 = 0. What is i?\nAnswer: -222624342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1161*r**3 - 1754*r**3 + 587*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ufffuuff. What is prob of sequence fuuu?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -46?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222201210 + 1010?\nAnswer: 222202220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-38)\/285 - 334\/(-30) and 103.\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 12*h**2 + 2. Let i be b(-2). What is the tens digit of 6\/(-5)*i\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/129499 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43544, 19, 5, -4 in decreasing order.\nAnswer: 43544, 19, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 754.00337 - 754. Round i to four dps.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 3*c - 3*b + 119, 5*b = -2*c + 77. Suppose -p = p - c. What is the greatest common factor of 65 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/84*(-6)\/(-9).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggeegegeedeqdged. What is prob of sequence eeqd?\nAnswer: 3\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 5*f + 2. Let a be s(-5). Let m be (66\/8)\/(15\/(-40)). Let c = a - m. Round c to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.04, -0.1, 969, -0.3.\nAnswer: -2, -0.3, -0.1, -0.04, 969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3289 - -3438. Does 31 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 r when four letters picked without replacement from {h: 5, c: 3, g: 4, r: 5, q: 2}?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -35*n - 57. Let k be d(-2). Suppose 0*c - 6 = g + 2*c, 2*g + 3*c = -9. Solve 5*o + 3*i - 5 = g, 5*o + k = o + i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (575*r + 1079*r + 4158*r - 237*r + 104*r)*(1 - 4 + 2).\nAnswer: -5679*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.665088mm in kilometers?\nAnswer: 0.000003665088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)\/m**(-3\/8))\/(m*m**(-1\/2))**10 assuming m is positive.\nAnswer: m**(-45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -j. Solve j = -5*g + 25, -5*n + 4*g - 20 = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 6\/107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 449557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 r when two letters picked without replacement from {t: 2, r: 5, s: 1, j: 1}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 (base 12) in base 3?\nAnswer: -11020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 429 by 7.\nAnswer: 429\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -t + 3*v - 2, 12*v = 7*v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (6 - -1) + (-6 - 10) + 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 11)\/2*-1. Let n(m) = -2*m**2 - 5*m + 7. Let j be n(z). Let q = -23 - j. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/10 of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173031 is divided by 344.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/341 and 43\/31.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5445 + 5448. What is the second smallest value in 140, j, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-18\/7)*r*r*r**(-29)\/r)\/((r**(-1\/6)\/r)\/r**(-3\/11)))**(3\/2) assuming r is positive.\nAnswer: r**(-13711\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i - 10*i + 3*i + 6*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -3 + 126\/64. Which is bigger: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9252132?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 5. Let c(d) = d**2 - 53*d - 55. Let i be c(54). Put i, z, -2, 2 in descending order.\nAnswer: z, 2, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 1.294773582?\nAnswer: 1.694773582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4752)\/(-528) - (41612*-4)\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = x + 5*n, x + 4*n + 6 = 8*n. Let o be (-1 - (2 + 1))\/x. What is the greatest common factor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 2*h + 2*h + (5*h - h - 3*h)*(0 - 4 + 2))*(-2*h**3 - 28720 + 418*h**2 + 28720).\nAnswer: 6*h**4 - 1254*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -55*m**2 + 3*m - 9. Let c be y(4). Suppose 460 = 3*p - 41. Let i = c + p. Round i to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -4 + 3)*-1. Suppose v - 1 - 43 = f. Let p = v - 6. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y - 5. Let h be t(22). Solve 0*d = -d + 4*q - 10, -d = 5*q - h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-5) - (122952\/(-60) + -28) a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 8*s - 64. Let t be c(-13). Let j(h) = -5*h**2 + 4*h + 4. Let q(n) = -n**2 + n + 1. Calculate t*j(b) - 4*q(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 326061 and 6672?\nAnswer: 725159664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -16) + (17 - -19 - 36).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -12393?\nAnswer: -12393.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.89 rounded to zero dps?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -15646*v + 697. Is b(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n**2. Let l(f) = 52*f**2. Calculate g(l(t)).\nAnswer: 13520*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.195344645651 and -0.22.\nAnswer: -0.024655354349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3*sqrt(68) - sqrt(68))*3*5)\/((5*-2*sqrt(324) - sqrt(324))*-2).\nAnswer: -5*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 625.3027m to nanometers.\nAnswer: 625302700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/14432 and -155\/232716.\nAnswer: 1861728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-2)*80\/(-15). Let l = n + -6. Let h = l + -3. Which is smaller: h or -2\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 321023\/273789 + -1\/9441. Is 1 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 577835*z - 577875*z = -3440 for z.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 156*a - 4117*a**2 + 4121*a**2 - 156*a. Let y(j) = -5921*j**2. Give d(y(x)).\nAnswer: 140232964*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1528 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180 divided by 45.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 308346792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 1 + 3. Let m = 5 + o. Suppose m*u + 1 - 21 = 0. Solve -3*x + k + 0*k - 3 = 0, 2*k - u = 5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 204, 223, 254, 297?\n\"Answer: 6*s**2 + s + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qmqqmmqqqqqq.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/(-50))\/((-37)\/((-962)\/(-3068))).\nAnswer: 1\/118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 763 divide 120788241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*s + 15. Suppose 3*z - 4*n = -2*n + 8, 2*z - s = n. Find the second derivative of -i + 2*i**z - 4*i + 5*i + 3*i wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 60. Let h = t + 401\/7. Which is greater: h or -3\/8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 37038, -2 in increasing order.\nAnswer: -5, -2, 3, 37038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hp when two letters picked without replacement from {h: 6, p: 3, b: 8}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2\/5, -23, 1\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2729090 to the nearest ten thousand.\nAnswer: 2730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2647 divide 4421338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*g + 13*g + 19*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 15\/8, -2\/13, 5, -75, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637817 is divided by 1141.\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001111000010000101011 (base 2) in base 10?\nAnswer: -2589739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/2)\/(3\/6). Let r(p) be the second derivative of 27*p**5\/20 + p**2\/2 + 8*p. What are the prime factors of r(y)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18, 10, 56, 120, 202?\n\"Answer: 9*l**2 + l - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 36*s - 35*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14050*g*r**2 + 58*g*r + 9288475*r**2 wrt g?\nAnswer: 14050*r**2 + 58*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 27 + 7. Suppose -r*l - 1 = -g, l - 1 = -g + 5. Suppose 2*q + 2*q - 8 = 0. What is the lowest common multiple of q and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9.579 and 0.84?\nAnswer: 8.739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 15726.1367 to the nearest ten.\nAnswer: 15730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 - -33. Let k(c) = 3 - 1 - c + 1. Let m be k(r). Solve m = 5*v - 8 - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3310 - 3214. Calculate the lowest common multiple of 36 and h.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*b + 3*b**2 - b**2 - 131*b - 141*b - 18.\nAnswer: 2*b**2 - 19*b - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(3*w - 3*w + w**2) - 903 - 39250*w**2 + 220 + 231 + 226 + 226.\nAnswer: -39252*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 9*h - 32. Calculate c(15).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -91 greater than -91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, q: 2, w: 2, b: 3, k: 1}. What is prob of picking 1 w, 1 k, and 1 r?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**3 + 3*x**4 + 0*x**3 + x**4 + 0*x**4 + 0*x**4 + (-3*x**2 + 0*x**2 - x**2)*(2*x**2 + 4*x**2 - 4*x**2).\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/9 + 25*n.\nAnswer: n*(n + 225)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.4 + 1.6. Let l = 2.9 - q. Let d = -0.1 + l. What is the nearest to d in -0.3, -1\/3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -234.\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3 = -3*q, -34*f + 31*f = 5*q + 5. Let s be ((-16)\/(-4))\/((-2)\/20). Sort 0, f, -3, s in ascending order.\nAnswer: s, -3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -7. Let j = d - -8. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxrdrrrrrr. What is prob of picking 1 d and 2 r?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3271 is divided by 190.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.115 (b) -3\/7 (c) 4 (d) 1 (e) -2\/91 (f) -0.3 (g) -19\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132 and 462.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67 by -100581.\nAnswer: 67\/100581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - j - j)*(-2 + 5 - 4)*(2 + 2 - 1).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42683206 or -42683201?\nAnswer: -42683201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.169 + -96.831. Let r = -100.56 - t. Round r to one decimal place.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 16. Let d = z - -12. Let m be 0\/(-1) + 6*1. Solve 0 = d*w - m*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -11*j**3 - 2*j - 1. Let z be i(-1). Suppose -5*y + z = 2*x, 6 = -2*x + 3*x - 2*y. Suppose 7*f - 9*f = -x. Solve -6 = 4*g + w, -f*g - 5*w = 2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-7)\/(q\/q**(-6)))**36)**(-4\/19) assuming q is positive.\nAnswer: q**(2016\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 224 + -216. Let g(i) be the first derivative of 2*i**3 + i**2 + 3*i + 2. What is the remainder when g(-2) is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 474424 and 248?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/223, 2, -5, -3\/28 in ascending order.\nAnswer: -5, -3\/28, 2\/223, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l*o**3*w**3 - 256*l*o**3 + 2*l*o**2 + 3*l + 31*o*w**3 wrt o.\nAnswer: 12*l*w**3 - 1536*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1251611960 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 a factor of 871056868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2461 - 3.6971. Let b = t + 3.4. Let x = b + 0.05. Round x to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23542 + 24550. Solve n*v - 55 = 997*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 489920521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 66 + 1*(-3 - -7). Suppose -b = v - 160. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 - 12*v**2 - 15*v**2 + 3*v**3 + 49*v**2 + 999 - 19*v**2.\nAnswer: 3*v**3 + 999","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d - 44. Determine u(-17).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4 = -2*p, a - 7*p + 8 = -2*p. Let b be (0 + (a - 2))\/1. Does b = 1\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9758535 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: What is prob of sequence jno when three letters picked without replacement from {s: 1, n: 1, j: 2, o: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37734579 divided by 5.\nAnswer: -37734579\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 199 - 196. Suppose 0 = -3*n - 5*j - r, 5*n = -0*n + j - 5. What is the third smallest value in -16, n, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5813674 is divided by 78560?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 10*d - 75 = 0. Do 24 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -455*b**3 + 6*b**2 - 14*b + 8. Calculate m(1).\nAnswer: -455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l**3\/3 + 7*l**2\/2 - 5*l - 11. What is q(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 12) to base 10\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**3 - 36*g**2 + 45*g - 1578. What is j(19)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g - 7. Let v be b(-7). Let c(q) = -q + 4. Let n be c(v). Suppose n = y, 39 = 4*m + 5*y - 85. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0391 to three dps.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 7*k + 3. Let c be y(-7). Let d(l) be the second derivative of 0 - 2*l - 1\/12*l**4 + 1\/2*l**2 + 0*l**c. Differentiate d(u) wrt u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1797*26\/(-1950) + 24.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*a - 3*r - 137, 2*a = 5*r + 64. Let n = 56 - a. Calculate the remainder when n is divided by 10\/(4*(-2)\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 5 = 5*f. Is (1*-194*f)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8000 and 6250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**4 + 3*w**3 - 2*w**2 + 2*w. Let c(p) = p**3 + p. Let g(h) = -2*c(h) + u(h). What is a in g(a) = 0?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 7*t + t - 5*t + 0*t + 4*t + (-2*t - t + 4*t)*(-4 + 4 + 2) - t + 2*t + t)*(-4 + 3 - 1) + t - t + 2*t - 4 + 4 + t + (0*t + 2*t - 4*t)*(3 + 0 - 4).\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2190*h - 4425. What is p(-2)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 100*o + 10. What is the remainder when s(1) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15916*b**3 - 2*b**2 + 20932*b wrt b.\nAnswer: -95496*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 - -53. Let u be 1*-2*(-10)\/4. Suppose 4*l = 5*n - u, -4*n = -6*n - 4*l + 30. Sort n, g, -3 in descending order.\nAnswer: n, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**5 + 57*y**4 + 315*y**3 + 375*y**2 - 750*y = 0.\nAnswer: -10, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i + 16. Let a(h) = h**3 + 5*h**2 - 6*h + 7. Let z be a(-6). Suppose -p = -17 + z. Let x be g(p). Sort 1, x, 3.\nAnswer: x, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) 188 (c) -54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517599729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*y**2 - 23*y**2 - 4*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 44110945 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 27. Solve -a + 9 = -o*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10511\/11 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 4*y**2 - 3*y + 1. What is l(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-98)\/35)\/((-10)\/75*3). What is the highest common divisor of l and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -91.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/3 - 40*c**3 + 1776*c**2 - 34560*c + 248832.\nAnswer: (c - 36)**2*(c - 24)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 8*z**2 - z - 7. Let l be q(-8). Is l bigger than 6\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*6*(sqrt(117) + 3) + -2)**2.\nAnswer: 576*sqrt(13) + 4468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w - 15999 = -65965. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 102199.4 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(-1\/4)\/f*f)\/f)\/f)**(-36)*(f\/f**(2\/5)*f)\/f*f**2*f*f)\/((f**(-2)\/f)\/(f*f**(-4\/5))*(f\/(f**0\/f))**14) assuming f is positive.\nAnswer: f**(304\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 2*n**2 - 5*n + 2*n)*(32 + 10 - 18).\nAnswer: 24*n**2 - 72*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -300 + 320. Let b(l) = 7*l**2 - 42*l - 89. Let w be b(-2). Solve -w*v = -h*v + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 - 44 - (-1 + 1 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) 3\/5 (b) -1 (c) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23381.\nAnswer: 103, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 144.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 189795940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 12441 + 13263. What are the prime factors of q?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 686579255?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(5*i - 5 + 5)*(-15 - 18 - 8).\nAnswer: -410*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 250 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.79 + 7.29. Let v(t) = t - 3. Let m be v(6). What is the closest to -14 in m, 0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 13*p + 5. Let b = 34 - 39. Let u(j) = 7*j + 3. Give b*u(q) + 3*s(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*g + 36, 4*u = 6*u + g - 37. Suppose -3*h - r - u = -5*h, -38 = -3*h + 5*r. What is the second derivative of i + h*i**3 - 2*i**3 - 5*i**3 wrt i?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 492 = 5*d, -2*b + 5*b = -2*d + 189. Calculate the remainder when d is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1466613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5 = -3*o, 0*y - 4*y - 23 = -5*o. Suppose i + 44 = o*c, 14 = 2*c + 3*i + 3. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*l - 303 + 103. Let n(h) be the second derivative of 9*h + 1\/10*h**3 - 3\/100*h**l + 0 + 0*h**4 + 0*h**2. Solve n(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 650 and 65946660?\nAnswer: 329733300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*x - 44 = 0. Let c = x + -1. Does 2 divide (30\/25)\/(3\/c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -2\/11, 7, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3262*y - 3102*y - 85116 = -4918*y + 10320 for y.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 10248, 1\/3, -0.5 in increasing order.\nAnswer: -0.5, 1\/3, 10248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20545308 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -93*h + 7*h + 26*h + 4500. Suppose 5 = -2*t + 5*t + 4*k, -2*t = -5*k - 11. Let q = 23 - t. What is the remainder when h is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - q + q - 3*q - 4 + 2*q + 3 + (-3*q + 0*q + 2*q)*(0 + 3 - 2) - 4*q + 4*q - q.\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -32, 0, -3\/11, 3.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 4*u + j - 300, -3*u = -2*j - 232. Calculate the common denominator of -29\/6 and (u\/11)\/(-4) + 2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 = -3*f - 2*h, -3*f - h + 120 = -46. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 i when three letters picked without replacement from {i: 5, u: 5}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 706891458 to the power of 1\/2, to the nearest integer?\nAnswer: 26587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + n**2 - 4*n + 6. Suppose -2*w - 2*t + 20 = -6*t, -w + 4*t = -16. Let p be c(w). Calculate the highest common divisor of p and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 4*t - 241 + 61, t + z - 46 = 0. Let p be (-5)\/((91\/t)\/(-13)). Solve 6*q = -18 + p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n**2 - 3276*n - 1 + 33*n**3 + 35*n**3 + 1633*n + 1643*n as v*n**2 + o*n**3 + p + q*n and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -132 - -43113?\nAnswer: 42431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2259*p = 4113*p - 23906 - 14326 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - n. Let w be ((-8)\/(-5))\/(14\/(-35)). Let l(s) be the first derivative of s**3 + 3*s**2 + 4*s + 1. Let g(p) = w*z(p) - l(p). What is g(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3052 - -4?\nAnswer: -3046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2. Let q be b(-2). Suppose 6*c + q = 10*c. Let z be c\/7 + 78\/42. Let y(p) = p**3 - p**2 - p - 2. Calculate y(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17733 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 12 = -0*c. Suppose v = -c + 6. Is ((-60)\/25)\/(v\/(-20)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1514920471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -2*n**2 + 1\/3*n**5 + 0*n + 0 + 17\/3*n**3 + 0*n**4. What is the first derivative of q(u) wrt u?\nAnswer: 40*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -4\/7*z**2 - 6\/7*z**5 + 2\/21*z + 16\/21*z**3 + 4\/7*z**4 + 0 = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*y - 5394 - 18153 = 0. Let b(v) = -v**2 + 5*v + 3. Calculate the least common multiple of y and b(4).\nAnswer: 3507","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 154 - 122. What is the least common multiple of 76 and a?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(-50))\/(78\/(-520)). Let h = -13 + 8. Which is the third smallest value? (a) h (b) -2\/37 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2107031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + (-2)\/(-1))*-1. Suppose -2*p + 5*p = 3*t + 555, 4*p = v*t + 740. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 1249*o + 5940. What is the tens digit of q(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 10:01 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 139947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 - 27 + 2*l**3 + 2523*l - 2515*l + 0*l**3 + 30 as p + f*l**2 + w*l + z*l**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -42*t - 21. Let z(d) be the third derivative of d**3\/6 - 6*d**2. Let w(v) = -y(v) - 18*z(v). Is w(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 0 - 2*h - 2)*(-2*h**3 + 32*h - 32*h) in the form d*h**4 + l + v*h**3 + n*h + u*h**2 and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/4)*n*n**(-7\/3))\/((n*n**3*n)\/n*n)**25)**(-20\/3) assuming n is positive.\nAnswer: n**(7595\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozyhyzyoozkkqko. What is prob of sequence qz?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -2, -6699, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5196 and 407172?\nAnswer: 176305476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 10*w + 1. Let d be h(-10). Let z = 2 - -1. Let b = d + z. Solve 20 = -0*g - b*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwfwwffw. What is prob of sequence fwf?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 33 = -36, -2*n - 9*x = -27 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 17*s**2 - 59*s - 866. Is 34 a factor of t(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 215907, 863627, 1943165, 3454527, 5397719, 7772747, 10579617, 13818335?\n\"Answer: q**3 + 215903*q**2 + 4*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*r**3 + 20\/9*r + 0 - 14\/9*r**2.\nAnswer: 2*r*(r - 5)*(r - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 19*v**2 - 3*v + 6. Let b be l(-19). What is the greatest common factor of 7 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 42*g**2 + 55*g + 179. Is y(68) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t**4 + 85*t**3 + 34864*t**2 - 2*t - 154974493.\nAnswer: 24*t**2 + 510*t + 69728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 4508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102250 and 73411410.\nAnswer: 4090","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 + 3 - (-7 - -11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 522 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12431658?\nAnswer: 2, 3, 17, 307, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -312*b**2*s**3 - 4*b**2*s**2 + 101*b**2 + 12*b*s**3 + 208*b*s**2 + s**3 wrt s?\nAnswer: -1872*b**2 + 72*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2998*j**2 - 2914*j + 84 = 0?\nAnswer: -1, 42\/1499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 148*k - 159*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5196)\/14*(-6)\/(-9). Let m = y + 247. Let g be -1*(-20 + 13 + 6\/2). Which is the third biggest value? (a) g (b) 2\/109 (c) -3\/4 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2)\/(b\/(b\/(b*b**(-1\/10)))*b))**(2\/31))**9 assuming b is positive.\nAnswer: b**(-351\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 103, -122960, 4?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/(((-190)\/(-6))\/(-5)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 18 + 9. Let u = g - 13. Calculate the smallest common multiple of 20 and 24 + u + (4 - 2).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 r, and 1 u when three letters picked without replacement from guugrurruurrruguu?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v. Let i(s) = -16*s - 3. Determine -i(y) - 3*n(y).\nAnswer: 13*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, z: 2, y: 4}. What is prob of picking 4 y?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 10783146 to the nearest ten thousand.\nAnswer: 10780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t + 3*t + 3*t - t. Let a(i) be the third derivative of 0 + 0*i + 0*i**3 + 15*i**2 + 1\/3*i**4. Give c(a(b)).\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -529.\nAnswer: -3\/529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**4\/8 - b**3\/4 - 9*b**2\/8 + b\/4 + 1 = 0. What is b?\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**2 - 9*m - 9. What is the remainder when r(8) is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112242 (base 5) to base 2\nAnswer: -111111101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5139636.2 to the nearest 100000.\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 212 + 96. Let c = i + -77. Which is smaller: -9 or c?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -54387 or 962?\nAnswer: 962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = h - 2*u, 2*h + 0*u + 4*u = 84. Suppose 16*r - 722 - 62 = 0. Let c = r - h. Is c a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*a + a + 2*a)*((-1 - a + 1)*(3 - 3*a - 3) + (-24*a + 3*a - 3*a)*(1 + 3*a - 1)) in the form f*a**3 + g + n*a + o*a**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -3\/2*r**2 + 16 + 0*r - 5\/3*r**3 - 1\/4*r**4. Calculate c(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1269?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.535 - 3.51. What is p rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 520062.\nAnswer: 2, 3, 86677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-8\/17)\/r)\/r**(14\/3))**(9\/8) assuming r is positive.\nAnswer: r**(-939\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 + 18*f.\nAnswer: -2*f*(f - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11002047 (base 8) to base 7\nAnswer: 26030341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16.83 - 142.97. Let p = q - -157. Is p bigger than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 211 - -37. Let p = -252 + v. Let o be 42\/10 - (-1)\/(-5). Sort 2, o, p in descending order.\nAnswer: o, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 47441860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14778 by 18.\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**2 + 31*q + 25. Let k be h(11). Put -43, 0, k in decreasing order.\nAnswer: k, 0, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -35653*s + 33. Let n(a) = 2*a. Determine n(y(m)).\nAnswer: -71306*m + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3640*z - 229 - 292 + 521.\nAnswer: 3640*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*v + 4 = -23*v - 5*l, -2*v - l = 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18351223.41 rounded to the nearest 1000?\nAnswer: 18351000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(325))**2*1.\nAnswer: 20800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (2 - (-2 + 10)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.11 - 0.11. Let d = 1 + z. Put -3\/7, -0.5, d in descending order.\nAnswer: d, -3\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 4:46 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7412.9 * -13\nAnswer: 96367.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -39163*a. Let z(n) = 69*n**2. Calculate z(p(g)).\nAnswer: 105828099261*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59 - -84. Let g = -21 + i. Calculate the remainder when 26 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -x**8\/30240 + x**7\/5670 - x**6\/3240 + x**4\/6 - 2*x**2. Let s(l) be the second derivative of d(l). Factor s(g).\nAnswer: -2*g*(g - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 17. Suppose r = 3*x - r - 97, 0 = -4*x - p*r + 134. Is 25 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**5 + 6*h**4 - 18*h**3 + 25*h**2 - 9*h. Let m(r) = r**5 - r**4 + r**3 + 2*r**2 - r. Let x = 58 - 59. Let q(z) = x*c(z) + 3*m(z). Factor q(l).\nAnswer: l*(l - 6)*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4*-2*sqrt(75) + sqrt(75) - sqrt(75)))**2*3*-2.\nAnswer: -259200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2532 at most -2537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 36*w**3 - 2*w + 1. Let a be m(1). Suppose -5*f + 140 + a = 0. Suppose 25 = 5*l, -3*v + f = l - 0*l. What is the remainder when 28 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14404171 divided by 1?\nAnswer: -14404171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 10 + 4*g + 3 - 9 + g**3 + 4 + 12*g**2. Is i(-10) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(-20))\/(-1*12\/64)*270\/(-2430).\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 - 3*i**2 + 2*i**4)*(3 - i - 3) + 6*i**5 - 2319*i + 2357*i + 5*i**4 - 5*i**5.\nAnswer: -i**5 + 5*i**4 + 38*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 15 - 25 = 0. Let x be 12\/15*(-60)\/(-6). Suppose -4*i - s*v + x = -2*i, 4*v - 2 = i. Solve 4*j + b = 12, -2*j + 3 = -i*b + 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31355, -28773, -24469, -18443, -10695, -1225, 9967?\nAnswer: 22881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 419*z - 84. What is the hundreds digit of n(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**5\/12 + w**4\/8 + w**3\/2 - 13*w**2. Let t be q(-1). Suppose -t*j = 5*k - 2*j - 318, 322 = 5*k + 2*j. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*(-2)\/210*6\/(-14)*10?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 2\/7, -140, -188?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 152 + -149. What is the smallest value in p, 2, 2\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 10:51 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.5 + -1.4. Which is the closest to v? (a) 6\/5 (b) 2\/21 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -82.478 - -82. Let x = p - -0.4734. What is x rounded to four dps?\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2687899 is divided by 5635.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2 + 3*x - 3*x. Let u(s) be the first derivative of -s**2 - 83. What is u(f(j))?\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 370 = 4*i, 5*q - i + 6*i = 325. Suppose 3*v - 2*v = q. Suppose -2*o + v = 3*o. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) -6 (c) -2 (d) -15\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1717630, -1717629, -1717628, -1717627, -1717626?\nAnswer: -1717625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 75 + -47. Let t = x - 31. Which is greater: t or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 14. Let o = 19 + d. Which is the third smallest value? (a) 7 (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y**3 - 98*y**2 + 59*y - 570. Determine o(18).\nAnswer: 3732","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w - 6. Let h(j) = -2. Calculate 11*h(c) - 4*v(c).\nAnswer: -4*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 17*w**3 - 6*w**2 + 153*w - 75. Let c(j) = -6*j**3 + 2*j**2 - 51*j + 28. Calculate 8*c(k) + 3*u(k).\nAnswer: 3*k**3 - 2*k**2 + 51*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w + 1. Let m be u(1). Suppose m*q + 3*r - 30 = 0, -3*q - r - 3*r = -34. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d**2. Let a(i) be the first derivative of i**3\/3 + 3. Give a(t(f)).\nAnswer: 25*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5, 10, 17, 26?\n\"Answer: y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 711 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = h - 6. Suppose 5*v = 3*j + 3*v + 166, -2*v = -h*j - 114. Let s = -8 - j. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 35*g**2 - 97*g + 1. Determine q(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x - 9*x - 7*x - 1975 = -116*z, 77 = 4*z + 3*x for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -401691.752 to the nearest 10.\nAnswer: -401690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -24*w + 42. Let g be x(-4). What is g rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14411, -14428, -14491, -14624, -14851, -15196?\n\"Answer: -4*w**3 + w**2 + 8*w - 14416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 997179561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by 66917?\nAnswer: -34\/66917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 26*b**2 - 43*b - 59. Is p(28) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.05 and -18975399 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.78 - 2.6467. Let s = -0.135 + j. Round s to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.3 (b) 0.1 (c) -9\/145\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1553 + 0?\nAnswer: -1553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 2*d + d)*(-d**2 + 6*d**2 - d**2) + (-d + 3*d - 4*d)*(-39 - 2*d**2 + 39)*(0 - 1 - 2).\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -423 - -553. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 164948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 801 - 567. Suppose 4*n - j = 754. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 9837675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t + 22*t - 3 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 11*t**2 + 73*t + 4527. List the prime factors of v(-38).\nAnswer: 3, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3974*v + 3965*v + 2295 = 0. Calculate the highest common divisor of v and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.8132741412 - -202\nAnswer: 205.8132741412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2994340.9 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -336*g - 2427. Let y(b) = 34*b + 243. Let v(l) = -2*j(l) - 21*y(l). What is v(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 28180.932 seconds?\nAnswer: 469.6822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, 2\/5, 3421285?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 42807 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*c + 73 + 8*c**3 - c**2 - 38*c**3 - 57*c**3 + 10*c as y + z*c + i*c**2 + w*c**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -3\/4, -24574232.7?\nAnswer: -24574232.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llbpllhpllppfp. What is prob of sequence fp?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -467102 by -2.\nAnswer: 233551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2802811836 - 0.39961.\nAnswer: 2802811835.60039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -63, -21, 33, 99, 177?\n\"Answer: 6*t**2 + 24*t - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 59789.91 kilometers?\nAnswer: 59789910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*w**2 - 285*w**2 - 12*w - 174*w**2.\nAnswer: -515*w**2 - 12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 465.787 - 466. Let l = k - -0.144. What is l rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 11:39 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 214, 0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 447 + 18 - 181*n + 2*n**2 - 3*n**2 + 1090 - 1373*n.\nAnswer: -(n - 1)*(n + 1555)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001111 (base 2) in base 14?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/((c\/(c\/(c**(-6)*c)))\/c))\/c**(-1))**(-46) assuming c is positive.\nAnswer: c**(-414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6)\/(v*v*v*v\/v**(-17)))\/(v*v**(-2\/19)*v*v\/((v\/(v**(-5\/9)*v))\/v)) assuming v is positive.\nAnswer: v**(-5188\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 take away 8961?\nAnswer: -8944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 22 = 2*f, -5*f + 0*f + 3 = 3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18446390 or -18446392?\nAnswer: -18446392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95359 + 648396. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -4*g + 8. Suppose 5*m - 40 = 5*a + 7*m, g*a - m = -16. Let z(b) = -b**3 - 8*b**2 - 4*b - 8. What is the units digit of z(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -11 (c) 0.3 (d) 183 (e) 0.14 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d + 2*d - 4*d + (0*d + 2*d - d)*(2 - 1 + 0) + 43*d - 9*d + d.\nAnswer: 37*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47242 + 47242 + 2*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 22. Suppose 2*c + 16 = m*c. What is the least common multiple of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 2:29 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 1)*(-q**2 + 7*q**2 + 4*q**2)*(-3*q**2 + q**2 + 4*q**2)*(q - 2*q + 0*q).\nAnswer: 80*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51575.\nAnswer: 5, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 10:37 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0*d - 5 = s, 3*d + 115 = 5*s. Solve 4*i = p + p + s, 4*p + 20 = 3*i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 37 = -4*m, -4 = -4*h + m + 161. Let a(i) = -i**3 - 4*i**2 + 6*i + 8. Let l be a(-4). Calculate the remainder when h is divided by (-231)\/44*l\/6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*j**3 - 3185*j**4 + 0*j**2 - 11*j**3 + j**2 + 1591*j**4 + 1592*j**4 - 2 - 5*j as q + m*j**4 + r*j**2 + g*j + y*j**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 96144362233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 5 - 4 - (-15 - -22).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 - -0.45. Let o = i - -0.55. Let b = -2187 + 2181. What is the nearest to 2\/7 in 0.1, b, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -0.2, -2.2 in decreasing order.\nAnswer: -0.01, -0.2, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*x - 4*x - 108 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 387 divide 126522964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -327 - -381. Suppose 0 = -3*n - l + 38, 5*n - 14*l = -11*l + s. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 35810022*t + 4. Let i be d(3). Suppose 4*b - i = -1830070. Round b to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04205 rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t**2 + 11*t + 20. Let z be w(-4). Calculate the greatest common divisor of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -11*r + 1. Let q(g) = 13*g - 2. Let x(a) = 7*c(a) + 6*q(a). Give x(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 544608 divided by -3.\nAnswer: -181536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-156294)\/(-6) + -3 + -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247374 - 247374 + 11*i**2.\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 1499201502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 0 = c. Suppose 0 = l - 2*l + c. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*f = 2*f - 26, 35 = 5*u + 5*f. Suppose u + 0 = 2*k. Calculate the remainder when 13 is divided by 7\/k - (-3 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39008645220 to the nearest 1000000.\nAnswer: -39009000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 8, 4, -2.\nAnswer: -5, -2, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 s, and 1 q when three letters picked without replacement from vssssveaseqevksee?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2792 + 2966. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**6*o + 274*f**5*o - 15*f**2*o - 2*f**2 wrt f.\nAnswer: 240*f**3*o + 16440*f**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = -2*k + k + 2*g, 4 = -4*g. Calculate the remainder when 61 is divided by (-6)\/(k\/(-40) + 3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 20, -11 = -4*x + 2*j - j. Suppose 5*u - 6 - 9 = 0, -4*a + 120 = x*u. Let c = -14 + a. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n - 4. Let m(v) = -2*v - 5. Let p(h) = -2*m(h) + 3*q(h). Suppose 0 = -2*o - o + 3*b + 21, 5 = -o - 3*b. Let u(d) = d + 1. What is o*p(c) + 7*u(c)?\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 2*l + 2*z - 10 = 0, 2*l = 5*z + 4. Let a = 2675\/8 + -332. Is l smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + k - 4. Let z be g(-3). Suppose 0 = -4*r + z + 2. Let c be (-1*(-2)\/6)\/(165\/90). Which is smaller: c or r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 14*n - 768. Let x = n + 16. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 131.18 - 131. What is the third biggest value in o, -0.3, 0.2, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/6 and 93\/122.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 4, y: 1, g: 4, n: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 44 (b) -189 (c) 0 (d) -0.1 (e) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2283 = -313*w - 9169 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/154*(-1617)\/154.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 35\/2 (b) -6 (c) 0.4 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -65, 361, -1\/2, 15, -3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -338179000 rounded to the nearest 1000000?\nAnswer: -338000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of 5*s**8\/168 - 43*s**6\/60 - 557*s**5\/15 + 278*s**2 - s. What is the third derivative of w(b) wrt b?\nAnswer: 600*b**2 - 516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 96217851*y**4 - 88546034*y.\nAnswer: 1154614212*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f**2 + 46*f - 42. Let k(n) = -3*n**2 + 31*n - 28. Let o(x) = 7*k(x) - 5*s(x). Let l be o(-14). Solve l*r + 5 = r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-172)\/(-5) - -2) + 62208\/38880.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -b + 13. Let l = b - 18. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*x = x - 2, 2*x - 1 = -r. Let z(c) = -2*c + 1. Let q be z(-3). Let y = q + -10. Sort 2, y, r.\nAnswer: y, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.18 + -15.68. Suppose -3 = t - 4*t. Let g be (-1)\/t + 30\/26. Which is the closest to 0? (a) u (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3125458319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 99 + -48. Suppose 0 = -3*k + 6*k - i. Suppose k*u = 15*u + 90. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5\/7 - 6\/7. Let s(o) = -o**2 + 7. Let x be s(-3). Which is the second biggest value? (a) x (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**3 + 68*t**2 + 23*t + 1. Let p be f(23). Put p, 18, 9 in descending order.\nAnswer: 18, 9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -470*-0.1\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 107*j**2 + 2760*j - 1854. What is r(-62)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20198\/14 - (-5 + (-495)\/(-105))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 298161\nAnswer: 298160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -184*s**2. Let m(y) = -5604*y**2. What is m(d(a))?\nAnswer: -189729024*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 7:57 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9455, -18903, -28351, -37799, -47247, -56695?\n\"Answer: -9448*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02407 rounded to 3 dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z**2 - 7*z**2 - 124693*z + 124674*z + z**3 - z**2. Determine t(13).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 236512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 0 - 1\/20*y**5 + 5*y + 1\/6*y**4 - 3\/2*y**2 + 1\/6*y**3. Calculate r(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(539) + (sqrt(11) - (sqrt(99) + 5 + sqrt(11))).\nAnswer: -8 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from usausujuu. What is prob of picking 2 s?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a - 25. Calculate d(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -240743 or -240865?\nAnswer: -240865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41137 + -28755. What is the ten thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 + 4*b - 3. Let t be 152\/(-36) + (-4)\/(-18). What is the units digit of n(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2. Let s(q) = q**2. Let h = 88 + -90. Let u(w) = 31*w. Let b(n) = h*s(n) + u(n). Calculate b(r(t)).\nAnswer: -2*t**4 + 31*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 152826433 - 152826432.06999897. Let z = 0.93 - x. What is z rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-38\nAnswer: 15.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2946 divided by -14274.\nAnswer: 491\/2379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1272 or -1250?\nAnswer: -1250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/45)\/k*k**(6\/11)*(k**18*k)\/((k*k\/(k**(3\/19)*k))\/k) assuming k is positive.\nAnswer: k**(175487\/9405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -7*o**2 + 4*o - 3. Let n be -11*3\/66 - (-10)\/4. What is k(n)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -8 - -3 - (-12 + 4 + -8).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(-2)))**(2\/125))**(2\/107) assuming h is positive.\nAnswer: h**(8\/13375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtklthk. What is prob of picking 1 k and 1 t?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 8 = 5*a - 3*v, -2*a = -2*v - 8. Let z(n) = 175*n - 20. List the prime factors of z(a).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 0.5, 0.2, -2\/175, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 19*u**2 - 3*u - 28. Let a be k(-19). Let x = a + -23. Suppose 2*d - 4*g = 54, d = -3*d + g + 101. Solve -o = -x*o + d for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 1 = -9. What is the highest common divisor of 20 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.6577 rounded to one decimal place?\nAnswer: -17.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 203049165?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 190593 and 843021.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -26943 rounded to the nearest one thousand?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 3122.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*x - 2*x + 75 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -31. Solve -1 = -z - x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*b - 16 = 0, 2*b = 2*m - 5 - 7. Let g be (2\/1)\/((-2)\/5). Let o = 7 + g. Solve -o*s - m = -s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28933934.\nAnswer: 2, 14466967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -224, -222, -220, -218, -216?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 432 = -m. Calculate the greatest common divisor of 24 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 499027 + -0.1.\nAnswer: 499026.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7892 - 1192660.\nAnswer: -1184768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lpef when four letters picked without replacement from {f: 4, p: 6, l: 3, e: 3, k: 4}?\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*c**2 + 161*c**2 - 121*c**2.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-119)\/(-595)*((-14)\/(-4) + -1)*0. Let k(g) = -g + 7. Let h be k(10). Put d, 4, -2, h in ascending order.\nAnswer: h, -2, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3518, 3571, 3624?\nAnswer: 3677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m + 6*m + 0*m + 0*m + 3*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 12*z + 4. Let f be a(0). Solve 0 = y + y + 5*d - 28, -f*d = -4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -15. Suppose -5*l + 28 = -7. Suppose -c = 3 - l. Solve 5*a + 4*v + 19 = 0, c*a + 6 = -u*v - 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 83, 142, 201, 260, 319, 378?\n\"Answer: 59*z + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1674180853.\nAnswer: 1674180853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -5 (b) -46 (c) -3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 - (1 + 3\/(-3)). Let c(l) = -26*l - 180. Let w be c(-7). What is the closest to 0 in d, 2\/13, w?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 860360269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 523 by 348069.\nAnswer: 523\/348069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -87*m**2 + 21*m - 21. Let b(q) = -22*q**2 + 5*q - 5. Give 21*b(p) - 5*z(p).\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/155 and 22\/25.\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -8*a - 0. Calculate the remainder when 25 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 + -57. Let v = 1.53 - 1.43. Which is the closest to 6? (a) -3 (b) v (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*v - 12 = 0. Suppose 0 = -5*p + 4*x, -2*p - v*x + 3*x = 0. Which is the closest to p? (a) 3\/2 (b) -5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1579215 divided by -6193\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -189 - 28738*x**2 - 191 + 567 - 187 in the form b*x + j + i*x**2 and give i.\nAnswer: -28738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -135468 divided by 2\nAnswer: -67734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212*n + 5168 - 3090 + 4494 = 0. Solve 4 = -n*x + 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34332921?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - -1) + (-327 + 328 - (1 + -2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 99065538 and -985.\nAnswer: 99064553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1658490 + -1110391. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 105 - 423. Let t = 113 + j. Suppose -135 = -2*n - 3*n. What is the remainder when n is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -439 + 15*c + 439. Let g(h) = h. Give x(g(v)).\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44537\/14 + -3185. Let p(r) = r**2 - 4*r - 8. Let z be p(6). Calculate the common denominator of z\/18 - (-382)\/144 and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2860 and 750.\nAnswer: 214500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -179*q + 8*q**3 - 49017 + 49019 + 2*q**4 - 192*q to f*q**4 + s + v*q + k*q**2 + y*q**3 and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 4275*f.\nAnswer: -4275*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7001938 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: What is the highest common factor of 20 and 104660?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - 419\/6 - 3\/18. Let v = 75 + m. Solve 4*l - q = q - v, 0 = 3*q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10818 - -10818.4709. Let o = 2.1448 - q. Let i = -1.66 + o. Round i to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 8. Suppose 4*u - 4*o + 36 = 0, -x*o + 21 = -2*u - o. Let w be u\/(-48) + (-43)\/(-4). Calculate the highest common divisor of 121 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 7. Let b be d*(3 + 2 + -1). What is the highest common factor of b and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (4 + 4) - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 8 + -16 + 22.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 12*x**2 - 10*x + 11. What is b(-12)?\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 249 - 214 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.0012 times -7\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 22 - 78. Suppose -3*m + t = -f, -28 + 0 = -2*m - 4*f. Suppose -m*i = -3*i. Solve -2*y = -4*r + 10, -2*y = -i*y - r + 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence foo when three letters picked without replacement from oonofdos?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.968828615 to four dps.\nAnswer: 3.9688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1088 + 17415\/16. Let c = 15\/30991 + 215077\/3842884. Calculate the common denominator of j and c.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*sqrt(495))\/((3*sqrt(5) - sqrt(5))*-1).\nAnswer: -9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5303812 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1271 - 1274. Which is the smallest value? (a) -0.2 (b) 1\/13 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1590)\/24115)\/(45\/(-39))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -873704 or -873600?\nAnswer: -873704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.005? (a) -2 (b) 457 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -186, -281, -378, -477?\nAnswer: -578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 428 + 0?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 k, and 1 w when three letters picked without replacement from {j: 2, k: 6, w: 11}?\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 4*o**4\/9 - 68*o**3\/9 + 56*o**2\/3 + 1040*o\/9 + 800\/9 = 0?\nAnswer: -2, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 536678059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 9 = -3*i. Let x(z) be the second derivative of -z**4\/12 + 2*z**2 - 29*z. Let t(y) be the first derivative of x(y). Give t(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1.47 (b) -10\/11 (c) 2\/7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -1130210?\nAnswer: 1130202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 0*k - 1\/15*k**3 - 1\/10*k**2 - 3. Factor p(a).\nAnswer: -a*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(112))**2 + -2 + 2*(sqrt(21)\/sqrt(3) + sqrt(7))**2 + (sqrt(567) - (sqrt(567) + -1)).\nAnswer: 4087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i + 21*i**3 + 3*i**4 - 19*i**2 - 8*i**3 + 1 - 6*i**3 - 2*i**3 to k*i**2 + s*i + u*i**4 + x*i**3 + p and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x + 2*x - x)*(2*x + x + 0*x)*(-3 - 1 + 0) to the form q*x + t + f*x**2 and give f.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-49081)\/(-6) - 137\/(-411)) + (-14)\/4 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74624*f**5 + 48881*f wrt f?\nAnswer: 1492480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -20665 divided by 91\nAnswer: -20665\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8853, -14604, -20363, -26136, -31929, -37748?\n\"Answer: -r**3 + 2*r**2 - 5750*r - 3104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-8) + -2)*(5 + -6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 76*g - 230. What is i(-72)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a kilogram in grams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -547389986.2673.\nAnswer: -547389985.7673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k - 2 + 2)*(-k - 2*k**2 + k) + 35962 - 40*k**2 - 2*k + 43*k**2 + 3*k**3 - 35845 as i + z*k**2 + r*k**3 + d*k and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 841417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**2 + 2*h + 1. Let z be i(1). Solve 10*j = 8*j - z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -85 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times 26.986?\nAnswer: 350.818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((18\/120)\/((-390)\/325))\/(1\/2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c - c + 0*c)*((4*c**2 + c**2 + c**2)*(-5 + 5 + 2) + 3*c**2 + 2*c + c**2 + 129 - 127) as w*c + k + a*c**2 + g*c**3 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 38*p**3 + 256*p - 255. Determine o(1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 18*j + 29. Let d be c(5). Let s = d + -99. Suppose 85 = -2*o - 3*y + 572, 0 = 4*y + s. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 28*z - 103. Give h(16).\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 3*d**2 - 3*d - 100. Let f(z) = -2*z**2 - 2*z - 99. What is 3*f(o) - 2*j(o)?\nAnswer: 2*o**3 - 97","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 63 - 59 = 4*l, 4*w + 2*l = -4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 0 + (-16)\/(-10) + (-88)\/(-220) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 + 3*c**3)*(-163 - 144 + 2 + 27 + 27).\nAnswer: -753*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 3 - 3*u)*((2*u - 6*u + 3*u)*(2 - 4 + 0) - 13*u - u + 5*u).\nAnswer: 21*u**2 + 14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -4.7219?\nAnswer: 5.1219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 77*y - 628 - 753*y**2 - 77*y wrt y.\nAnswer: -1506*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 7:40 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fsnfnsznssnttt. Give prob of picking 1 n, 2 s, and 1 t.\nAnswer: 72\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15.3 - -18. Let a = -0.38 - -0.08. Let n = z - a. What is the closest to 0 in 0, 0.2, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yccpzre. What is prob of sequence epc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 6:29 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/600 and 13\/35.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -200*w**3 - 79*w**2 - 2?\nAnswer: -1200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1003, -1841, -2691, -3559, -4451, -5373, -6331?\nAnswer: -7331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/932 and 19\/74560.\nAnswer: 74560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 2)*(-w + 0*w + 2*w) + 2*w + 1 - 1)*(-w + 1 - 1 + 5*w - 3*w - 3*w + (0*w - w + 3*w)*(-2 + 1 + 0) + 0*w + 0*w - w - 1 + 1 - w).\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6902812?\nAnswer: 2, 7, 29, 8501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82884652.\nAnswer: 2, 20721163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + (-3 + (0 + sqrt(98) + sqrt(98) + sqrt(98)*-2 - sqrt(98)) + (sqrt(98) - (sqrt(98) + -2*-1*sqrt(98))) + (sqrt(98) + 2*sqrt(98) + 3)*-6)**2).\nAnswer: 37044*sqrt(2) + 261930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76)\/4*82\/(-14801)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8560, 8554, 8544, 8530, 8512?\n\"Answer: -2*b**2 + 8562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 1656?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 f, and 2 y when four letters picked without replacement from {j: 5, y: 4, f: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 169665 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 28*-683\nAnswer: -19124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -6*a + 2. Let m be 2\/11 - 371\/(-77). Suppose q + z = -3*z + 18, 4*z = -m*q + 26. Calculate l(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2671079400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-5)\/(-2) + -2). Let x be (l + -3 - -1)\/(-1). Let p(q) = 7*q**2 + q - 4. Let v(s) = 15*s**2 + 2*s - 9. Let k(y) = 13*p(y) - 6*v(y). What is k(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10003860 is divided by 77?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f + 26. Let h be d(-11). What is the highest common factor of h and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of 1\/6*i**3 - i + 1\/12*i**4 + 0 + 5\/2*i**2. Let w be f(0). Which is the closest to -0.1? (a) 0.5 (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/8305?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.15 - 8.09. Put -3, q, 0 in descending order.\nAnswer: q, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1440157 = -38*j + 1443881 for j.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 49409.\nAnswer: -4\/49409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + -25. Let j be 16\/(-6)*(-99)\/x. Let d be (-4)\/j*63\/35. Which is the third biggest value? (a) -2 (b) -4\/5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 17*w**2 + 2. Suppose -c - 356 = -k, -2*k + c = -260 - 448. Calculate the remainder when m(2) is divided by 0 + -4 - k\/(-16).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3566.926+-6.2\nAnswer: 3560.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + y = 0, 2 = -3*x - y + 12 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 10*x - 4*x. Find the second derivative of 26*h**4 + 0*h + 16*h**4 - 36*h**4 - x*h wrt h.\nAnswer: 72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-103748)\/(-1221) - 85)\/(295\/60 - 5)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from rxriqifxqxhiiiirif?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 77, 70, 61, 50, 37, 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/285*20*11\/(-88)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 72238*m**3 - 36882*m**2.\nAnswer: 433428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-42)\/(-35)*(-170)\/(-6256)*-1)\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57184 is divided by 2884.\nAnswer: 2388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -240523?\nAnswer: 240524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1982161 is divided by 198216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -191106*z**2 - 14*z - 4. Let x be n(3). What is x rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.65202362 rounded to three dps?\nAnswer: -51.652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.041 in 4, -4, 65, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -44*r**3 - r**2 - 3*r - 1. List the prime factors of h(-1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a + 3*a + 3*a)*(0 - 4*a + 0 + (2 - 2 - 5*a)*(-5 + 4 + 3) + (1 - 2 + 2)*(11*a - 8*a - a)) as y + s*a**2 + m*a and give s.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 0.5, 0.352, 3?\nAnswer: 0.352","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 26*z + 113. Let o be y(4). Suppose 2*d = -d + 180. Is 8 a factor of (20\/o)\/(3\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*(sqrt(13) + sqrt(13)*3)**2 + -5 + 3.\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -523 - 389 + 77*v + 912.\nAnswer: 77*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 594.0088 tonnes?\nAnswer: 594008800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 199892024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19, 31, 57, 103, 175, 279, 421?\n\"Answer: m**3 + m**2 + 2*m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l**2 - 2. Let v(c) = 6*c**2 - 3. Let p(r) = 7*u(r) - 6*v(r). Determine p(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.43 + -0.03. Let d = 0.16 - 0.18. Let q = 4.98 - d. Which is the biggest value? (a) 1\/2 (b) m (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/90)\/(4\/5).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 127 by 8.\nAnswer: 127\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -9*t**2 - 1. Let c be (-2 + 4)*(-14)\/(-28). Give k(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, i: 2, k: 2}. Give prob of picking 1 k, 1 j, and 1 i.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 206 (b) 33 (c) 0.043 (d) 0.01 (e) -3 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (25 - 26)\/((-1)\/4 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -3616?\nAnswer: 14464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i = -11*i. Suppose 2*p - 38 + 0 = i. Suppose -4*t - 87 = -p. Do -16 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44949138*m**3 - 2*m**2 + 123654381 with respect to m.\nAnswer: 134847414*m**2 - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*z + 22 + 24 = 0, -5*z = c - 50. Suppose p + 0*p = 4*b - c, -5*p - 2*b = 172. Let k = p + 76. Calculate the highest common factor of 63 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egpg. Give prob of sequence pg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1.7 times 0.3\nAnswer: -0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11888)\/(-11) - (1960\/154 + -13). Calculate the highest common factor of 69 and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = c - 1138, -3*l + 5*l = -3*c + 3398. Let s = 253 + c. List the prime factors of s.\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 5*t, -5*v - 17673*t - 4 = -17672*t for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12282, 12284, 12286?\nAnswer: 12288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.23162 * -0.0565.\nAnswer: 0.01308653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -1. Suppose 2 = -q*y + 2*d, 4*y - 3 = 2*y - 3*d. Solve 6 = -2*z - y*z - 2*t, 0 = 5*z + t + 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 + 25.4. Let y = 22 + -161. Let p = 1249\/9 + y. What is the smallest value in l, -5, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555 is divided by 280.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*c**2 - 16*c**2 + 84*c + 17*c**2 - 2750 + 21*c**2.\nAnswer: 42*c**2 + 84*c - 2750","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 57\/36 + (-5)\/(-20). Which is the smallest value? (a) l (b) 1\/4 (c) 0.4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 178 + -81. What are the prime factors of v?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21202022211100 (base 3) in base 4?\nAnswer: -33231321312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 4*g - 72, 12 = -86*z + 85*z - g. Let f be (10\/z - -2)*(-27)\/384. Which is the smallest value? (a) 1\/4 (b) -4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/15 of a minute?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*q - 10*q - 3 + 0 + 2*q in the form f*q + l and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 0*q**2 + 2*q**2 - 1 - 3*q**2 + 6*q - 1. Calculate the least common multiple of 19 and z(5).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzbzuzzbbzbubznzuu. Give prob of picking 2 z and 1 u.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56 (base 12) to base 5.\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**2 + 0*w**2 + 3*w**2)*(0 - 2 + 1)*(-2 + 4 + 3).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -30\/7*o**3 + 12\/7 + 36\/7*o - 9\/7*o**4 - 9\/7*o**2 = 0.\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5351*b**2*o*y**2 - 17*b**2*o*y + 2*b**2*y - 3*b**2 + 5*b*o*y**2 - 2*b*o + 1171*o*y**2 + 1685*o*y + 13*y wrt y?\nAnswer: 10702*b**2*o + 10*b*o + 2342*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 6*q - 6. Let r be c(4). Solve r = -5*p - 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 13*t - 5. Let b be m(-13). Put -4, b, 1 in descending order.\nAnswer: 1, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (125\/5)\/((-157)\/157).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w + 5*w - 3*w + (0*w + 2*w + w)*(1 + 2 + 3) - 2*w + 3*w + w as p + r*w and give r.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11488 is divided by 3807?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 6*k + 2. Determine c(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529 is divided by 30.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -6*t**2 - t + 4. Give r(-3).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/10416 and 97\/2368.\nAnswer: 1541568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-6\/7))\/(j*j**(-10)))\/(j**(2\/3)\/((j\/(j*j\/(j\/(j\/(j\/((j**0\/j)\/j)))))*j)\/j)))**(-4\/7) assuming j is positive.\nAnswer: j**(-880\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abbr when four letters picked without replacement from {r: 3, t: 2, q: 4, a: 3, b: 6}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -16. Suppose -19 = -w + 3*y, 18 = 4*w - 4*y - 26. Suppose -u = -t + w. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -3 (b) -4 (c) -1136 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 223041859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 9:27 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 1. Let m(j) = 4 - 12 + 36*j**2 - 27*j**2 + 2*j - j**3. Let u(k) = 5*l(k) + m(k). Give u(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13725 + 19695. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 6*u**2 + 4*u - 3. Let s be c(-5). Suppose -s = y, m + 5*y = -4 - 14. Is -8 equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2615\/13 - -201. Which is the biggest value? (a) 0.5 (b) z (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 867 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*k**5 - 4312446*k**4 - 176084238*k**3 + 398831700*k**2 - 252161067*k + 33726018 = 0. What is k?\nAnswer: -43, 2\/11, 1, 130721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.06 (b) -4\/3 (c) 12 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0992 - 0.1. What is c rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14567735 and 351.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 539405 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - c. Suppose c = -4*a + a. Let l = -2203\/9 + 245. Is l less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1982 is divided by 153?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/3)*m*m)**(-1\/41))**(-25)*((m*m**(-3\/5)*m)\/m**(-1\/2))\/(m**(-2)\/(m**4*m*m)) assuming m is positive.\nAnswer: m**(13427\/1230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 29\/5 of a kilometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 118, 178, 238, 298?\nAnswer: 358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**4 - 36*z**3 + 324*z**2 - 524*z + 240.\nAnswer: -4*(z - 4)*(z - 1)**2*(z + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 0) + 1 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 4\/1729209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5340*x**3 - 2299*x**2 + 3*x - 209693 wrt x.\nAnswer: -32040*x - 4598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**7\/490 - s**6\/140 + s**5\/140 - s**2\/2 - 4*s. Let j(h) be the first derivative of t(h). Determine o, given that j(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - 16. Let m be 2*1 + p + 17. Is -3\/13 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20456 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c + 2*c - c)*(2*c**2 + 0 + 0)*((-3 + 0 + 2)*(0 + 0 - 2) - 4 + 0 + 3) to the form r*c + z*c**2 + u + o*c**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -244947.017 rounded to the nearest one thousand?\nAnswer: -245000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 6)*(2 - 1 + 0)*(11*k + 2*k - 10*k)*(-4 - 3 + 5).\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 123 + 14. Let d = x - 137.091. What is d rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9\/2003 + -31917\/416624. Find the common denominator of d and 109\/130.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 7:43 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6*c**2 - 2. Let t(h) be the third derivative of h**5\/10 + h**3\/2 - 4*h**2 + 3. Calculate 3*i(k) + 2*t(k).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven halves of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 560475 and -1.08646357.\nAnswer: 560473.91353643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94002011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -5*w**8\/336 + w**5\/10 + 7*w**2. Find the third derivative of d(t) wrt t.\nAnswer: -300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -6. Let i = 3 - u. Which is the nearest to -1? (a) i (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/7 (b) 2\/7 (c) -0.1 (d) -0.44801 (e) -1 (f) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 10*f**2 + 5*f - 9. Let c be d(-9). Suppose -c = -5*a + 23. Calculate the greatest common divisor of a and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 2, n: 3, u: 1, k: 4, b: 3, x: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -98de6 (base 16) to base 4.\nAnswer: -2120313212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-589)\/(-62))\/(-1 - (-66)\/64)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 + 8*u + 8. Suppose 3*g + 23 = -o, -3*g - 2*o = -4*o + 8. What is the tens digit of t(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4341 is divided by 540.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.31 and 284112.8.\nAnswer: 284112.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3 + 4 = u, 5*k + 2 = 4*u. Sort -3, -2, k in increasing order.\nAnswer: -3, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1222?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -253928598*o**4 - 107*o + 2687034?\nAnswer: -3047143176*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, -2, 35, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - a + 3*r - 27, 0 = a - 4*r + 14. Let t be (-24)\/(-18) - 258\/(-9). Let d be ((-26)\/(-65))\/(1\/t). What is the greatest common factor of d and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 0*u**2 + 1\/2*u**6 + 0*u + 0*u**4 - 29\/3*u**3 + 0*u**5 + 17. What is the third derivative of l(d) wrt d?\nAnswer: 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -56 (b) -5 (c) 0.3 (d) 6416 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129137.\nAnswer: 29, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 461264 + -461267.3024225. Let p = -6.302423 - r. Let d = -3 - p. Round d to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - -15. Let y be ((-36)\/(-14))\/((6\/119)\/6). Suppose y = 3*u + f. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -1\/6*z**3 - 1\/20*z**5 + 1\/120*z**6 + 0*z + 3*z**2 + 0 + 1\/8*z**4. Factor f(w).\nAnswer: (w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 31092194, 62184416, 93276638?\n\"Answer: 31092222*s - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 48041, 48024, 47995, 47954, 47901, 47836?\n\"Answer: -6*p**2 + p + 48046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22*(-10)\/(12540\/171)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20444979 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/15)\/((z*z\/(z\/(z*((z\/(((z*(z*z\/(z\/z**12*z)*z)\/z)\/z)\/z))\/z)\/z)))\/z))\/(z**(-2\/5)*z*z\/(z*z*z**(-8)\/z*z)*z))**(-3) assuming z is positive.\nAnswer: z**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6716427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*a + 1245135 + 117695 = 0. What are the prime factors of a?\nAnswer: 19469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 214 and 662.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4 + -6*(0 + sqrt(405)*3)))**2.\nAnswer: 5184*sqrt(5) + 524944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - l + 642 = s, -2*l = 2. Let i = 724 - s. What is the remainder when i is divided by 136\/10 + 6\/15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 2*o = 30, 2*o + 50 = -5*y - 3*o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttbt. What is prob of picking 3 t?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83149538?\nAnswer: 2, 41574769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4}. What is prob of sequence ttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8317*p + 23604*p - 4067*p + 61.\nAnswer: 27854*p + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 4*a**3\/21 + 8*a**2\/7 - 48*a\/7 - 46. Suppose o(z) = 0. What is z?\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -437*b = -752696 - 634342. Is b a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 948.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/25478 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 607.3 and -1.5.\nAnswer: -910.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42245 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1021 in -0.4, 141, 6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -598, -5798, -19914, -47404, -92726, -160338?\n\"Answer: -743*m**3 + m + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-5))\/(16\/40). Let j be (2\/h)\/(2\/12). Suppose -7*v = -j*v - 1435. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -3. Let u(x) = x**2 - x - 1. Let c(j) be the second derivative of -3*j**2 - j**3 + 5\/6*j**4 + 2*j - 64. What is k*u(z) + c(z)?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 880, 3170, 6910, 12106, 18764, 26890?\n\"Answer: v**3 + 719*v**2 + 126*v + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 1 = -b, 34*b + 8 = k + 35*b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 293*g**3 - 3*g**2 + 3*g + 7. Let q be i(3). What is q rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 t when four letters picked without replacement from qtyqrqqtqryqr?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 541141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3594 = -726*b - 4392 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 7*o**2 + 5*o - 37. Give z(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(108\/30*((-304)\/(-19))\/(-64))\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 5. Suppose 3*f + j*b + 23 = 117, 4*b + 152 = 4*f. Let q(h) = 21*h**2 - 311*h - 43. Let y be q(15). What is the greatest common divisor of f and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2602*c**3*k*w**2 + 428*c**3*w**3 - 35*c**2*k*w**3 + 5*c**2*k wrt w?\nAnswer: 2568*c**3 - 210*c**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84 - -84.2. Which is the fourth smallest value? (a) j (b) -1 (c) 3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 675 + -686. What is the nearest to -0.1 in 3, 1, -3, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7530\/(-9287)*(-34)\/(-85)?\nAnswer: -12\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + sqrt(13)*5)*5.\nAnswer: -8 + 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a - 8. Let x be l(-6). Let k = -24 - x. Suppose 0 = -3*q - 15, -k*o - 2*q - q + 1 = 0. Solve 0*c + o = -4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 154173.\nAnswer: -2\/154173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, r: 1, a: 3}. Give prob of sequence aw.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -16*k + 123. Calculate z(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(sqrt(1089)*2)*4)**2.\nAnswer: 20\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -639, -664, -707, -768, -847, -944?\nAnswer: -1059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5830 = -2*d, 0 = -3*i + 3*d - 329 - 4039. Let v = -763 - i. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 4. Suppose -4*a + 13 = -7. Suppose a*o + 34 = 4. Calculate k(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 911.9, -49, -10 in ascending order.\nAnswer: -49, -10, 911.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 <= 8058?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) 1\/2 (b) 276 (c) 173 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, m: 8, j: 2, a: 3}. What is prob of sequence iiaj?\nAnswer: 7\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ylll. Give prob of sequence ll.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxv when three letters picked without replacement from vvyuvuxvuxxuuxx.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.166, 1\/5, -293 in ascending order.\nAnswer: -293, 1\/5, 5.166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 6*t**3 + 2*t**2 + 2*t - 2. What are the prime factors of b(2)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (11\/(22\/(-6)))\/(30\/(-250)). Solve -c*l + 96 = 7*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/7902 and 64\/122481.\nAnswer: 244962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3329302411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 215, -5, 15, 0 in descending order.\nAnswer: 215, 15, 7, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/11, -1, -5, -66.\nAnswer: -66, -5, -1, -2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 + 9*x + 99. Give g(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o - 1. Suppose -4*w + 29 = s + 9, -4*w - 4*s = -32. Give f(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*d - 25, d = -5*g + 1894. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 - 2*t**2 + 2*t**2 + (3*t - 3*t - 2*t)*(0 + 0 - 2*t**2))*(25 + 3 - 1).\nAnswer: 135*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*i + 1 - 1)*(3*i**2 - 4*i**2 - 7*i**2).\nAnswer: 80*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18068961 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 545000886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 565 - 560. What is the closest to -0.04 in -5, f, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3648 divided by 2937.\nAnswer: -1216\/979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 848 - 327. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*h - h - 3204. Let v = h + 15. What are the prime factors of v?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*s**3 + 324*s**2 + 65*s**3 - 239*s**2 - 139*s**3.\nAnswer: -7*s**3 + 85*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 95, -0.1, -1, -9269?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(12\/(-5))*-6. Which is smaller: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.3 - -28.3. Let x = 23.9914 - b. What is x rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130203205 (base 6) to base 12.\nAnswer: a23505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 3) to base 15.\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 5:02 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -199.09 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - -26 - (-1 - -8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1952*x - 1075004 = -1217500 for x.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70)\/588)\/((-20)\/(-16))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7473.889 centuries in millennia?\nAnswer: 747.3889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -160 divided by 145\nAnswer: -32\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 10 = 4*r, 6*r + 4*v = r - 7. Let u = -0.06 - 3.94. Let y(p) = -382*p + 1147. Let n be y(3). Which is the closest to r? (a) n (b) u (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15\/2*i**2 - 1 + 7\/2*i**4 + 19\/2*i**3 + 1\/2*i = 0. What is i?\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1380, 2749, 4104, 5439, 6748, 8025, 9264, 10459?\nAnswer: 11604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*l)*(-39*l - 16*l + 18*l)*(-2*l - 3*l + 6*l).\nAnswer: 74*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 664 and 4677892.\nAnswer: 776530072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -q**2 + 0*q**3 - 1\/2*q**4 + 0*q + 3. Find the second derivative of d(x) wrt x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((-2)\/12 - 0). Let j = 8 + w. Suppose -2*f = -2*n - 44, n - 78 = -4*f + 10. Solve 0 = -j*q - 4*m - f, 5*m - 2*m = -5*q - 27 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 155 and 244993.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -389267\/99 - -3932. Which is the smallest value? (a) 1 (b) 0.3 (c) -0.8 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -47\/12*n**5 + 0*n + 0 - 47\/24*n**4 - 252*n**2 + 0*n**3. Find the second derivative of f(o) wrt o.\nAnswer: -470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/10*13*(-75)\/(-390).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - d = -x + 129, 0 = -3*x + d - 375. Let r = 169 - x. Suppose -4*p + 9 = -r. What is p rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 260455?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -1\/180*k**6 + 7\/24*k**4 + 0*k + 0 + 0*k**3 - 1\/40*k**5 + 18*k**2. Let u(q) be the second derivative of n(q). Give u(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529036 is divided by 528808?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2010 and 3990.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5636 minus -90803?\nAnswer: 96439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 276041 = -l + 53175, -c + 2*l = -44575. What is the thousands digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-1*4 - -3). Let o be 2*(0 + 1 + 0). Suppose j = o*l + 3 - 13. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 297 and 416658?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -6. Let l = a + 9. Calculate the remainder when 30 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1\/8))\/(u\/(u**7*u))*(u*u**(2\/7))**13 assuming u is positive.\nAnswer: u**(1391\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 380460004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8313, 8311, 8309?\nAnswer: 8307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 41?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 - 55. Let y = 43 + w. Suppose -5*g + y = 4*n - 3*n, -2*g = -3*n + 1. Solve 12 = -g*k - 0*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11696 and 204.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2558*d = 1456*d + 25346 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/10 and -13\/244.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven halves of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (3 - (-8 + 6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.68 + -11.28. Let g = 8.739 + -19.386. Let y = l - g. Round y to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**5\/60 + 13*f**4\/24 + 5*f**3\/2 - 798*f**2. Calculate m(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1, -3 in ascending order.\nAnswer: -8, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12642 and 3706948.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 297 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 31\/61, -0.5, -0.075?\nAnswer: -0.075","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -4\/9 (b) 4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 78*i - 58 = 3*s + 59 + 273, -15 = 4*s + 3*i for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -3, 2, -5 in ascending order.\nAnswer: -5, -3, 2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.5 (b) 7\/12 (c) -144 (d) 64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) 2\/27 (b) 0.4 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 3. Let v be w\/(-4) + (-1116)\/(-48). Suppose 0 = -g + 2*b + 7, 5*g + 2*b = -0*b + v. Solve 3*o + 2*o = -20, -3*o - 2 = g*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-10)*(-5)\/4. Which is the nearest to k? (a) 0.1 (b) 0.3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -17*v**4\/4 - 17*v + 6. Differentiate w(z) wrt z.\nAnswer: -51*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5912585 divided by -5?\nAnswer: 1182517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -545172*u**2. Let x(n) = -3*n**2. Determine o(x(r)).\nAnswer: -4906548*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.3 + -17.1. Let h = t - -50.4. Round h to the nearest integer.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/3)*c*c*c**5*(c*c**(1\/3)*c*c)\/c*c\/(c*c**(-4)\/c)*c assuming c is positive.\nAnswer: c**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/5)\/((270\/9)\/(-6))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = f - 6. Suppose n = -2*n - f. Put n, -2, -5 in descending order.\nAnswer: -2, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -10. Let k(m) = -6 + 6 - j*m. Let y be k(-5). What is the greatest common factor of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*w**4 - w**2 - 19*w**4 + 0*w**2 + 650*w - 102*w as h*w + n*w**3 + s + u*w**2 + c*w**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z + 2*u - 5213 = 7*z, 4*u - 3470 = -2*z. Let l = z - 6855\/4. Calculate the common denominator of 2 - ((-107)\/(-8) - 2) and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468543 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004343696552 rounded to 7 dps?\nAnswer: -0.0000434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/33*6\/(-4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 5:54 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 284352*x**2 + 188386*x?\nAnswer: 568704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-14 - 14*p**3 + 14) + (0*p**2 - 2*p**3 + 0*p**2)*(-3 + 3 + 1) - 2*p**3 + p**2 - p**2.\nAnswer: 24*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -11*i**3 - 8*i**2 + 4*i + 17. Let y be c(-7). Let t = 775 + y. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 6\/7 (b) 15 (c) -2 (d) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -29, -47, -65?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.173 - -9.827. Let g = -0.11 - 12.89. Let n = g + o. What is the nearest to 1\/4 in n, 2\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -2*k + 5. Let u = k - -16. Solve 5*f - u*q - 25 = 0, -q + 2*q = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 22*a + 119. Give h(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/3)*x**4)\/((x\/(x**(-1)*x))\/((x*x**7)\/x)))**(-1) assuming x is positive.\nAnswer: x**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 3 + 13 = 3*f, -2 = -4*f + g for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u. Let o(k) = -1333*k + 6. Let n(p) = -1323*p + 8. Let r(v) = 2*n(v) - 3*o(v). What is r(b(q))?\nAnswer: -2706*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d - 8. Let j be u(-6). What is the first derivative of 0*k - 2 + j*k - 6*k + 3*k wrt k?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, g: 3, i: 4, n: 3}. What is prob of sequence ngi?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 65 (c) -15 (d) 1\/4 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-2))\/(-1)*(-78)\/65?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1616 + 3*x + 0*x + 1616.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1bd + 3fc?\nAnswer: 5b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 5:35 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -5*i**2\/2 - 3*i - 1. Let l(c) = 4*c + 2. Suppose 0 = 3*g + 2*g. Let x = g - -2. Calculate x*q(r) + 3*l(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (79 + 0)*(-5 + 2). Let i = b - -505. Sort i, -2, 5 in descending order.\nAnswer: i, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -17764 in decreasing order.\nAnswer: 3, -4, -17764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*a + 3*p - 84 = 0, 4*p + 88 = 3*a. Let y be (-14)\/(-7) + a\/(-14). What is the nearest to y in -8, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 6374*y**2 + 2*y + 6374*y**2. Let z be (-1)\/(-3) + 56\/21. Let o(k) = 7*k - 9*k**3 - k**z + 14*k**3. Determine 2*o(j) - 7*x(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 344 and 15824.\nAnswer: 15824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 66080*h - 218328320.\nAnswer: -5*(h + 6608)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20592584 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 3 - 0) + (336 - 335) + 59.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -1\/3, -0.24, 4, -3\/5, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42188882831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 112*(-4)\/44 - (-20)\/110. Does 7 divide (-4732)\/m - 15\/75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/30)\/(88\/440).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*s + 5. Let n be 2 + s + (-1 - 0). Suppose 3*i - i + 3*a - 11 = n, 3*i + 4*a = 19. Solve -i = -4*p - u, -3*u - 3 = -2*p - 0*u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 6 - 2 + 7*k**2.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - 0.2. Let b be (-1 - -8) + 1 + -2. Let k be (-2)\/6*b\/4. What is the nearest to k in p, 4, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -29 - 47 - 13 + 5*i. Suppose 225 - 309 = -4*s. Is m(s) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 8*x**2 + 14*x + 7. Let c be q(-9). Let w = c - -38. Solve -l + w*l + 1 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -266 - 1324?\nAnswer: -1623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1831419 rounded to three decimal places?\nAnswer: -0.183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/84*(54 + 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25216701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b**2 - 69*b + 20. Calculate d(19).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20473258501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 b when three letters picked without replacement from klcbkkccckkukkbkb.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-495500)\/(-237840))\/(-5*9\/48*2).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11576?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -196*f + 24308. Calculate t(124).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00577 to four dps.\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 5:09 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3396481511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d - 600. Let a(t) = 2*t**2 + t + 14. What is a(z(m))?\nAnswer: 2*m**2 - 2399*m + 719414","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-4)*50\/5. Suppose -3 = j*q - 8*q. Let s = 163 + -152. Is q < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1382766986?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i - 30. What is v(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2233 - 40*t + t + 689 + 42*t - 241.\nAnswer: 3*t + 2681","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*q + 5*v = 0, 0 = 5*q - 2*v. Let f = -338 + 340. Let n(d) = d**f + 11 + d + d**3 - 2*d**2 + 28 - 25. Give n(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107777 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100 + 0?\nAnswer: 101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-1\/13))\/(t**(-6)\/t))\/(t**(-2\/15)\/t**(-9)))**24 assuming t is positive.\nAnswer: t**(-1232\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 53*y**4\/12 - 3*y. Is a(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 5*q**2 - 11*q + 13. Let y be b(7). Find the first derivative of -y - 24*l**2 + 16 + 5 wrt l.\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -178?\nAnswer: -17.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 5*w + 2. Suppose -x + 4*h + 10 = -4*x, -8 = x - h. Give p(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -859\/12 or -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -14*v + 14. Determine d(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -464*h + 456*h + 182 + 10 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 115 = 5*i, 4*c - 63163*i = -63161*i + 82 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 14\/591145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -34.6?\nAnswer: -34.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 3*a + 4*a - 8 + 0*a + 9. Give s(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + n = 3*g + 21, -3*g + n - 33 = 0. Let i be (-13)\/((-8)\/(-6) + g\/(-18)). Let b = -22 - -15. Which is bigger: b or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.9 + -1.4. Let u = c + -4. Put u, 0.2, 4 in decreasing order.\nAnswer: 4, u, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/(-18)*3 - -4. Let l = -91\/3 - -30. Let j = x + l. What is the nearest to -0.2 in 2\/7, j, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 222 + -224 - (2 - 4 - 6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*r + 9*r + 8*r - 23*r + 13*r + 27*r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 2.8. Let r = o - 0. Let q(l) = -l**2 - 9*l + 26. Let a be q(-11). Put 0.5, r, a in increasing order.\nAnswer: r, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -20*t - 11. Let b(i) = 40*i + 24. Let s(m) = -3*b(m) - 5*x(m). Let y(h) = -7*h - 6. Let p(u) = 6*s(u) - 17*y(u). Let j(n) = 9*n**2. Give j(p(a)).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 65*z**2 + 8. Let d be k(65). Let f(h) be the first derivative of -2 + d*h - 2*h**2 - 4\/3*h**3. What is j in f(j) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 37. Suppose 3*t + 3*u = -9, 3*t = -b*u + 4 - 23. Solve -16 = -5*m + 4*c, t*c + 0 = m - 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -13, 166, 543, 1178, 2131?\nAnswer: 3462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4499)\/17996*(-3)\/(-24)*6*16.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 6*z - 16. Let p = -14\/3 + z. What is the fourth biggest value in -5, p, 1\/88, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41.178 times 18418\nAnswer: 758416.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 364322 times -2637?\nAnswer: -960717114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) -1 (c) -5 (d) -4 (e) -8010538\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7344 and 3600?\nAnswer: 183600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316*k + 315*k + 0*t + t = -36, -20*k + 663 + 132 = -5*t for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, u: 5, n: 2, f: 2, g: 1}. Give prob of picking 1 f and 1 u.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -232 + 234. Calculate the least common multiple of y and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 13*r**2 - 15*r + 18. Let i be t(14). Suppose f + i*u - 24 = 0, -3*u = -4*f - 2*u + 164. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*33\/6 - -2. Suppose w + 4*i - c = -i, -3*w + 5*i = 1. Suppose t + w = 2*t. Solve n - x - 3 + 0 = 0, -t*n = -5*x - 17 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31707110 (base 8) to base 16.\nAnswer: -678e48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h - 25*h + 272. What is the lowest common multiple of h and (-2)\/(1 - 2) - 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*h + 912 = 0, -r - 2*h = -0*h + 185. Let l = r + 268. Calculate the highest common divisor of l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1720120 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54088 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 224040*y - 224036.\nAnswer: -4*(y + 1)*(y + 56009)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11400044 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2614176?\nAnswer: 2, 3, 29, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 8:16 AM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 51971655 divided by 15?\nAnswer: 3464777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6839721667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -1974*q**2 - 767885*q + 394. Calculate p(-389).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s. Let z(p) = 507*p. What is w(z(y))?\nAnswer: -1014*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-5))\/((-70)\/15)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 474 and 1264.\nAnswer: 3792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*h - 22 = 0, h + 1 = -0*i - 3*i. Is (56 + 5 + -2)*i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 22*l + 21. Which is bigger: 2\/227 or l?\nAnswer: 2\/227","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8939.7 + -8936.3. Let z = 10 + -14. Sort 0.3, t, z in ascending order.\nAnswer: z, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in 3, 0.4, -4, 4, -36?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2087*k + 83482. Determine j(40).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -1)\/2*-396. Suppose -2*r = -5*r + m. Suppose 596 = 2*y - r. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -959*p + 80*p - 572*p + p.\nAnswer: -1450*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 1. Let w(c) = 7*c**3 + 6*c**2 - 2. Let h(v) = -2*d(v) - w(v). What is the third derivative of h(i) wrt i?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -12, -1, -19 in descending order.\nAnswer: 5, -1, -12, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 274 + -255. Suppose -y + 3*u = -20, 16*y + u = p*y - 20. Solve y = 5*q - 6*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -64*v**3 - 2*v**2 - 3*v + 3. Let h(r) = 63*r**3 + 3*r**2 + 4*r - 4. What is 3*h(g) + 4*w(g)?\nAnswer: -67*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 124281069 to the power of 1\/2, to the nearest integer?\nAnswer: 11148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -346 + 346.56. Let z = -1.06 + d. What is the third biggest value in z, 2, 24?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7386 and 0.32.\nAnswer: 7386.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 5*x - 174. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -p**8\/1680 + p**4\/24 + p**3\/2 - 4*p**2. Let t(j) be the first derivative of o(j). What is the derivative of t(f) wrt f?\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50388, 100159, 149930?\nAnswer: 199701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9103 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.42, 0.3, -8679, -3\/4?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.18 - 2.72. Let g = o + 0.44. What is the closest to 3\/5 in g, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 + -53?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 181564 in 0, 0.3, -4, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 138161?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 399, 395, 391?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 834 = u, g + 113 + 165 = 2*u. List the prime factors of (-18)\/20*g + 1\/(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**3 - 6*w**2 + 6*w - 10. What is the remainder when n(6) is divided by 116?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -98 - -89. Let y(m) = m + 13. Let k be y(b). Suppose k*d + 342 = 6*d. What are the prime factors of d?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/13)\/(5559\/(-72267)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + -2*sqrt(104)*6)\/(2*sqrt(288)).\nAnswer: -11*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*a + 49, 3*a + 5*q - 89 = a. Suppose -2*f = 2*f - 5*s - 32, -4*s - 40 = -5*f. Calculate the highest common factor of f and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19419 by -9.\nAnswer: -6473\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -394, -590, -1122, -2158, -3866, -6414?\nAnswer: -9970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1051, -1052, -1053, -1054, -1055, -1056?\nAnswer: -1057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.65869 plus -7.6?\nAnswer: -19.25869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 - 38*f + 38*f)*(2 - 1 + 1)*(-4 + 4 - 3).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2744628 is divided by 370.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(3*2\/4). Suppose -m - 12 = -f*m. Which is the biggest value? (a) 1\/4 (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -2\/269, 0.4, 1323?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 7:55 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/81 - (-29)\/(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81538898 to the nearest integer?\nAnswer: 9030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*r**3 + 58*r**2 - 8*r + 8229.\nAnswer: -6*r**2 + 116*r - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m**2 - 2*m + m**2 + 5*m**2 - m**3 - 2*m**4 as a*m**4 + x*m**2 + o*m + w*m**3 + s and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2.92 * -0.2\nAnswer: -0.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31821 + -125265\/4. Let j = -516 + n. Calculate the common denominator of j and 10\/24*(-244)\/20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 + -0.04. Which is the closest to -2? (a) 1 (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -11\/2*u**2 - 2 + 0*u. Let c(d) = -52*d + 41*d + 11*d + d**2. What is n(c(g))?\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1106 - 1106.07. What is the second biggest value in t, 2\/5, -3\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 12*r + 55. Let b(d) = 2*d. Let p(u) = 5*u. Let x(n) = -8*b(n) + 3*p(n). Let c(y) = 3*y - 1. Let a(s) = -2*c(s) - 5*x(s). Determine a(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqqwwjjjjqwqqqjq. What is prob of picking 2 q?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -98 - -97.99. Suppose 0 = 3*k + 2*m + 491 - 510, -2*k = 2*m - 14. Which is the nearest to 1? (a) y (b) 2\/9 (c) k (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-35)\/(-15))*3*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441\/17 not equal to 46.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/18 - 517\/(-99). Let j(y) be the second derivative of y**3\/6 + y**2\/2 - 15*y. Let b(t) = t + 1. Calculate s*j(g) - 4*b(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-3)\/d)*d)**(-1\/72)*(d\/d**(-3))**19)**19 assuming d is positive.\nAnswer: d**(17309\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1325828311 divided by -5969.\nAnswer: 222119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2788, 11194, 25210, 44836, 70072, 100918?\nAnswer: 137374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*i + 3*i - 6 = 0, 0 = 5*q - 2*i - 10. Suppose -q*o + 2 = -4*o. Let n be o\/1 + 2\/(-5). Which is smaller: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2962 + -2170. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 365 and 799285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**3 + b**2 - 2*b + 3. Give n(3).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/3 (b) 5870 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -717*q**3*s**4 + 181233*q**3 - 19*s**4 wrt s.\nAnswer: -2868*q**3*s**3 - 76*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 4446.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 33810*a - 53274432.\nAnswer: -3*(a + 1894)*(a + 9376)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**5\/9 + 724*j**4\/9 - 58858*j**3\/9 + 1328816*j**2\/9 + 966296*j\/3 = 0.\nAnswer: -2, 0, 53, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100209.\nAnswer: 3, 33403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**7\/420 + f**6\/60 - f**4\/3 + f**3\/2 - 2*f. Let r(i) be the second derivative of y(i). Factor r(x).\nAnswer: -2*(x - 2)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-27)*-4*24\/80\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -660529 (base 16) in base 15?\nAnswer: -8c107d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -77*m*r**3 - 544775*m*r**2 + 1531*r**3 - 5070*r - 2 wrt m?\nAnswer: -77*r**3 - 544775*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.14 + -0.24. Let s = -2.063 + h. What is s rounded to 2 dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5790 + 716 = -2*r + 1494. Is 47 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -118973 + 118972. Let y = -5 - -5.3. Which is the nearest to -1? (a) r (b) y (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 = -5*h - 220. Let x be (-2 + -2)\/(-23 - (-2 + 0)). Is h at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, h: 4, f: 3, b: 1, v: 4, a: 3}. What is prob of picking 1 k, 1 f, and 1 v?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d + 8. Suppose -20 = 7*j - 9*j. Calculate the remainder when z(-7) is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 294546011*n**3*u + n**2 + 244910*n*u + 324*n wrt n.\nAnswer: 1767276066*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -28*t - 12. Let v(q) = -19*q - 8. Calculate -8*v(j) + 5*z(j).\nAnswer: 12*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 13*f**5\/60 + 750*f**2. Let h(o) = -2*o**2 + 13*o - 13*o. Calculate h(u(b)).\nAnswer: -338*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 2 + -3 - (-22 + -2 + 31 + -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(-2 + (-5)\/(-10)). Determine r, given that -12*r - r**2 - 4*r - 73 + 77 - j*r**2 + 16*r**3 = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4402 + 4401.999995586. Round n to seven dps.\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1773*o**2*x**3 + 6*o*x**3 + 285*o*y + 8691114*x**3*y wrt o.\nAnswer: -3546*o*x**3 + 6*x**3 + 285*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f**2 - 7*f + 3. List the prime factors of c(7).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -152934*y**5 + 82171*y?\nAnswer: -3058680*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/37 + 80\/111. Let d be (6 + -4)*(5\/2 - 1). Factor t*f**d - 2\/3 - 2\/3*f + 2\/3*f**2.\nAnswer: 2*(f - 1)*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*x - 188455 = 0, m = 6*m - 4*x - 942227. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6 * -49668.\nAnswer: 79468.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(12) + sqrt(12)*-1)\/sqrt(4) + 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 41*p - 4. Let j(w) = -2610*w + 255. Let a(m) = 255*f(m) + 4*j(m). Let i(v) = -128*v**2. Give a(i(x)).\nAnswer: -1920*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -125 + m + 232 - 160 in the form z + i*m and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 + 3.96. Let z = h - 3.9. Let y = 0 + 0.2. Is z at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403827*x = -403674*x + 3060 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2501826949.\nAnswer: 2501826949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 40 = 6*b, -500*h = -504*h + 40. Factor -4\/3*v + b - 1\/3*v**4 + 1\/3*v**2 + 4\/3*v**3.\nAnswer: -v*(v - 4)*(v - 1)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1*(-186749)\/21715\nAnswer: 43\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2504, 2757, 3478, 4901, 7260, 10789, 15722, 22293?\nAnswer: 30736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*d + 7*d - d)*(-3 + 2 - 2) + 3*d - 2*d - 3*d)*(4*d - d + 0*d) to i*d**2 + u*d + a and give i.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 2 (c) 5 (d) 0.1 (e) 0.037 (f) 0.135\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 226547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6872 - 542. Let y = n - 2335753\/369. Let d = y + 347\/82. What is the common denominator of -65\/8 and d?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3*(4 + sqrt(605) + -3))**2*-4.\nAnswer: -21811 - 792*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3bc621 + 5?\nAnswer: 3bc626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 162.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 334556, 335631, 336704, 337769, 338820?\nAnswer: 339851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -161, -483, -959, -1583, -2349, -3251, -4283, -5439?\n\"Answer: l**3 - 83*l**2 - 80*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*z - 4 = 0, d - 4 = -2*d - 5*z. Let h be (-2)\/d - (1 - 3). Solve -5*t - 2*c + 6 = -h, t = -2*c + 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 533874 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + s - 4 = 0, -264*s = 2*c - 260*s - 18 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + s - 2*s)*(1 - 3 - 1) - 7*s + 3*s + 2*s - 2*s + 4*s - 4*s + (-2 + 1 + 0)*(s + s - 4*s) + 2*s + 0*s - s - 2*s - 2*s + 5*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5\/3 + m**4 - 2*m**3\/3 - 4*m**2 - 8*m\/3.\nAnswer: m*(m - 2)*(m + 1)*(m + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 13*t**2 - 18*t + 46. What is d(14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in -49, -3\/5, 2\/9, 3\/5, 0.087?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlrrahhrll. What is prob of sequence rr?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 + -0.044\nAnswer: -0.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a**2 - 4*a + 4*a + (0 - a + 0)*((-1 - 1 + 1)*(2*a + 0 + 0) + 4 - 4 - 2*a) to c + y*a**2 + p*a and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 42 and -0.06.\nAnswer: -2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 + -11010000?\nAnswer: -11000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10410929?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, e: 3, f: 1}. Give prob of picking 1 e and 1 s.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l + 229 + 86 = 0. Let j be (-6 + 5)*l\/125. What is the closest to -1 in -1, 1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6965951 is divided by 2183?\nAnswer: 2181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18822 + -5455. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**3\/13 + 12*j**2\/13 - 30*j\/13 + 16\/13 = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 447776 and 1904?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6004\/5 - -1196. Is q at most -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/4*b - 3\/4*b**2 - 1\/2.\nAnswer: -(b - 1)*(3*b - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybe when three letters picked without replacement from {a: 1, e: 1, b: 6, y: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -342*-5.\nAnswer: 1710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**4\/9 - 2458*g**3\/3 - 7396*g**2\/9 + 24592*g\/3 - 59008\/9 = 0.\nAnswer: -4, 1, 2, 3688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-6 - -7) + 1 + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/7 + -1 - ((-56)\/7)\/(-56).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 494\nAnswer: -5\/494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 64*d**2 + 61*d + 944. What is the hundreds digit of o(-67)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 187 - 112. Find the second derivative of 120*r**2 + 74 - j + 8*r**2 + 19*r wrt r.\nAnswer: 256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1533970, 3067936, 4601902?\nAnswer: 6135868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 4*d + 4 = 0, -a - d + 3546 = 3547 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 10. Let w = -314\/7 - -35. Which is smaller: w or v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 6*l - 104. Let d be g(16). Let h(p) = 2 - p - 7 + 4. Give h(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o\/(o*o**(-21)*o))\/o)\/o)\/(o\/(o\/(o*o\/o**20*o)*o)*o*o)*o**(-8)\/(o*o**(5\/6)) assuming o is positive.\nAnswer: o**(157\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 26508.\nAnswer: 53016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 + 44. Let a(m) = 6*m + 144. List the prime factors of a(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**3 + 72*m**2 + 247*m + 119. What is g(-20)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 21. Find z such that -5*z**2 - z**q + 9*z - 13*z - 5*z**2 - 5*z**3 = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, h: 4, b: 2, r: 4, a: 1, g: 1}. Give prob of sequence zar.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -96 + 100. Solve 2*j = -2*j + v for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 y when four letters picked without replacement from ggyaapyp?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 205*f**2 - 95*f - 117*f**6 - 409*f**2 + 206*f**2 wrt f?\nAnswer: -14040*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 25025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 809348684 to the nearest integer?\nAnswer: 28449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 13.6 (b) -0.4 (c) -1 (d) 4 (e) 10 (f) -2 (g) 0.828\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 87.23025?\nAnswer: -85.23025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112 + -101. Let b(o) = 3*o**3 - 5*o**2 + 11*o - 172. Let l(d) = -d**3 + 2*d**2 - 4*d + 58. Let r(y) = q*l(y) + 4*b(y). Differentiate r(p) wrt p.\nAnswer: 3*p**2 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w + 18. Suppose -3*h + g + 205 = -0*h, -51 = -h - 4*g. What is the remainder when h is divided by o(8)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, w: 2, t: 1, h: 4, m: 1, s: 3}. Give prob of sequence wm.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17345.70127 - -17346. What is q rounded to two decimal places?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 793040.\nAnswer: 2, 5, 23, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2415, 4860, 7305, 9750, 12195, 14640?\nAnswer: 17085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y + 17. Calculate w(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 247 - 273. What are the prime factors of 3590\/4 + 13\/g?\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 r when three letters picked without replacement from {e: 3, r: 2, m: 7}.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 41 from -1907850.2048.\nAnswer: -1907891.2048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65785?\nAnswer: 5, 59, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15092704139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47210599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/sqrt(5)*-1*5 + 3.\nAnswer: -5*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1490*c**2*p**2 + 4*c**2 - 58*c*p + 6*p**4 + 2*p wrt p.\nAnswer: -2980*c**2 + 72*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w - 23. Let c = -188 + 198. Determine p(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 11*b + 16. Let f be x(-13). Let m be (4*-1)\/(f\/25). What is the remainder when 23 is divided by 2 + (-1 - -2)*m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, e: 2, y: 2, m: 1, i: 1}. What is prob of picking 1 y and 1 m?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/27*-4*(-54)\/(-84)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -132?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 + 1000*c - 25149. Give g(-524).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.90369 to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - x + 5. Let r(o) = -6*o - 30. Let q be r(-5). Suppose -2*m - 5*g = -q*g - 12, -g + 8 = -m. Sort 0, m, x in descending order.\nAnswer: x, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129051 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(495) + sqrt(495))*-6 - sqrt(495))\/sqrt(11).\nAnswer: -75*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 13*j - 7. Let d(v) = -31*v + 15. Determine -6*d(r) - 13*f(r).\nAnswer: 17*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1200 = -3*z - 5*z. Suppose 0 = -12*h + 15*h - z. Let m = 58 - h. What is the remainder when 14 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136\/(-17)*(-2)\/20.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 14 (c) 260.16 (d) -1\/7 (e) 1\/3 (f) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 987\/(-490) - (-4)\/14. Let q = u - -93\/35. Calculate the common denominator of q and -101\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*m = 24, 0 = -5*t + m - 2*m + 40. Let c(f) = -f + 2. Let i be c(0). What is the common denominator of -9 and ((-441)\/112)\/(i\/t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2854681, -4, 14 in ascending order.\nAnswer: -2854681, -4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 159*d + 14 - 9.\nAnswer: 159*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/263 (b) -2\/7 (c) 2\/7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + -2*(-15)\/6. Suppose z - 198 = q*z. Let t = -32 - z. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 78 in -20, 94, -0.3?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011 + 111?\nAnswer: 101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-27 - (-221529)\/8631?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 1. Let f be x(-1). Suppose 2*a + 17 = 5*i, 2*i + 0*i - 3*a + 2 = 0. Suppose 4*h + 3*z - 1 = 13, 3*z = i*h - 4. Solve f*o = -h*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48*b**2 + 93*b**2 + 111*b**3 - 45*b**2 + (4 - 4 + 2*b)*(2*b**2 + 2 - 2) - 4*b**3 + 0*b**3 + 2*b**3.\nAnswer: 113*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 0*i**2 + i + 1\/6*i**3 + 0. Let w(v) be the first derivative of -v**3 + 2. Give w(d(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.8 - -13.844326.\nAnswer: 11.044326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185 = -53*c + 610 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 0. Let s = -5 + 1. Let t = 2.1 + -7.1. Sort u, s, t in ascending order.\nAnswer: t, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 50 - 11?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5903*d = 5911*d - 56. Solve -u = 3*l - 2, -6*u + 4 = 3*l - d*u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -18 in descending order.\nAnswer: 5, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 5*f + 4. Suppose -70 + 82 = -3*u. Suppose 0 = 2*a + 35 + 5. Let n be (a\/6 - u)\/((-4)\/30). What is d(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - k - 32, -6 + 34 = 4*s - 2*k. What is the remainder when 25 is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xouxmomb. What is prob of picking 1 o and 1 b?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -0*h + 3*h. Suppose 0 = -25*x + 7*x. Suppose 32*z + 99 - 3427 = x. Calculate the greatest common divisor of z and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d**2*n**2 - 7*d**2*o - 2*d*o**2 - 14*n**2*o - 39*n**2 wrt o.\nAnswer: -7*d**2 - 4*d*o - 14*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 200 + -3199\/16. Calculate the common denominator of x and 31\/132.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 2.467213 days?\nAnswer: 0.352459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ftntnntfnft?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*t + 217 + 112 = 0. Sort t, -5, 29 in decreasing order.\nAnswer: 29, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = -13*h + 229. Let s(o) = 1003 + h*o - 1003. Determine s(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-39)\/189 + 2\/(-9). Let p be (-8)\/28 - 5*(-185)\/175. Which is the third smallest value? (a) m (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -6. Suppose 2*h + q = 3*h. Suppose -12 = -6*n + h*n. Solve -4*t + n = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 629021909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11201831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88 + 86.9. Let b = -11 - -12.2. Let j = d + b. What is the nearest to -1 in j, 2\/9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sr when two letters picked without replacement from {r: 1, s: 2, l: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/9*3*-3*2\/1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 2. Let f be c*(-3 + 4)\/(-1). What is the third derivative of -4*d**2 - d**4 + 2*d - f*d + 5*d**2 wrt d?\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.089 + -0.189. What is the nearest to y in -17, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u. Let c(y) = y**2 + 1. Let j(r) be the third derivative of -3*r**5\/20 - 2*r**3 + 3*r**2. Let i(w) = -12*c(w) - j(w). What is i(p(g))?\nAnswer: -27*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 793460699 to the power of 1\/3, to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -49*d**3\/2 + 516*d**2 - 42*d - 43. Determine f so that q(f) = 0.\nAnswer: 2\/49, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 11*p + 1 + 8*p**3 + 10 - 6*p**3.\nAnswer: 2*p**3 - 11*p + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4130 and 1107253.\nAnswer: 11072530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**3 - 13*a**2 + 6*a + 3. What is p(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 106 - 39. Let l = k - 37. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 267\/161 + -11\/7. Is u at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 127?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**3\/7 + 676*y**2\/7 - 5294*y\/7 + 660 = 0.\nAnswer: 1, 7, 330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -3\/33143797?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**3 - 418631*p**2 + 209330*p**2 + 209301*p**2.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from occcycbcoyossoccy?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 315*p**2 + 248*p**2 - 125*p**2 + (2 + 1 - 1)*(2 + p**2 - 2).\nAnswer: 440*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/45 - 2532\/(-27). Calculate the highest common divisor of 47 and l.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 280, 279, 278, 277?\n\"Answer: -z + 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**2*j - h**2*k**3 - 3*h**2*k + 23*h*j*k - 8432*j*k**3 + 8*j*k**2 + j*k - 615*k wrt k?\nAnswer: -6*h**2*k - 50592*j*k + 16*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -13*f**3 - 9*f**2 - 13*f - 6. Let n(v) = 6*v**3 + 4*v**2 + 6*v + 3. Let z(p) = p**2 + 17*p - 56. Let d be z(-20). Give d*j(m) + 9*n(m).\nAnswer: 2*m**3 + 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(13) + 5 - ((sqrt(832)*-2 + sqrt(832))**2 + sqrt(832))) + -2.\nAnswer: -829 - 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 600 and 532200.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*sqrt(85))\/(sqrt(30)\/(4*sqrt(6))).\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - i - 4, 4*i + 14 = 3*z. Let d be (3\/(-6))\/(1\/(-6)). What is the highest common factor of d and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 600 divided by 3?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 127935?\nAnswer: 1\/127935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 421?\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a day in seconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 3*i + 2*i)*(-4 + 2 + 4) + (-2*i + 3*i - 79 + 74)*(-2 + 5 + 0).\nAnswer: i - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10\/7, -2\/3, 6\/11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -352, -1232, -2954, -5800, -10052, -15992, -23902?\nAnswer: -34064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26*0.6.\nAnswer: -15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**(-1\/8)*y)*y**6)\/(y**(1\/2))**(-28))**(1\/23) assuming y is positive.\nAnswer: y**(151\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -1. Let p(l) = -l + 1. Determine -2*p(v) + 2*y(v).\nAnswer: 2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -59 - -62. Suppose c*i - 56 - 7 = 0. Suppose -i*t + 15*t = -12. Calculate the remainder when 2 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.034232 rounded to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddqq when four letters picked without replacement from {s: 1, d: 4, q: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + -4)*(-82)\/164. What is the fifth smallest value in 5, -3, 41, w, -2\/17?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -711 - -748. Calculate the remainder when 406 is divided by z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**4\/10 - 2*r**3\/15 - r**2 - 6*r\/5 - 144. Factor q(m).\nAnswer: 2*(m - 3)*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9593\/4 or 2398?\nAnswer: 2398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -y**2\/2 - 3*y + 6. Suppose 0 = -d - 3. Give a(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, r: 5}. Give prob of picking 2 v and 1 r.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*z + 28341 + 1851. Let o = 1084 - z. What is the highest common divisor of o and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a decade in months?\nAnswer: 1416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 112 - 44. Let w = 133\/2 - z. Let a be 30\/35*(-7)\/(-2). Sort a, 3\/7, w in descending order.\nAnswer: a, 3\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + (940\/(-125))\/(-2))*10?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o + 843 = -2235. Calculate the highest common divisor of o and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380100 rounded to the nearest 10000?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4*q + 15. Let g(f) = -f**q + f - 4*f**2 - 2*f**3 - 4*f. Let b be g(-2). What is the greatest common divisor of b and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 24593c?\nAnswer: -245940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 5916?\nAnswer: 5920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/57*(-8)\/16)\/(2\/(-66))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v. Let u(i) be the second derivative of -i**6\/144 - i**4\/12 + 2*i. Let w(y) be the third derivative of u(y). Give w(m(q)).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eadk when four letters picked without replacement from {a: 2, e: 1, d: 1, k: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -761*r + 20. Let u be x(1). Let z = -738 - u. Let m(b) = -10*b. Give m(z).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21291813, 42583623, 63875433, 85167243, 106459053, 127750863?\nAnswer: 149042673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29743665 and 1145.\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w + 1. Suppose k = -5*l, -2*k = -3*k + l. Suppose 4*i + k*s + s = 16, -s = -2*i + 2. Let z be (-1)\/(2 - 5\/i). What is a(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23937.\nAnswer: 3, 79, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(275))*2 + ((sqrt(132)\/sqrt(48) + sqrt(11))*-1)**2 + 4.\nAnswer: 91\/4 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (27\/42*228)\/((-9)\/(-42))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 4 - 4)*(-2*r + 1 - 1) - 4*r**2 - r**2 + 6*r**2 + r**2 - 2*r**2 + 2*r**2 + 2*r**2 + 0*r**2 + r**2 + (11 - 5*r**2 - 11)*(3 - 8 - 2) + 2 - 2 - r**2.\nAnswer: 35*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**3 - t**2 + 17*t - 7. Let g be o(3). Let b be 10\/1*(1758 + g). What is b rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39 (base 14) to base 9.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.3, -4 in increasing order.\nAnswer: -4, -1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.01 + -0.41. Let y = 18 - 20. Sort c, y, 0.4 in decreasing order.\nAnswer: 0.4, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.46 + -0.14. Which is smaller: 2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**3*z**2 + 8*l**3*z - 795*l**3 - 3*z**4 with respect to z.\nAnswer: 2*l**3*z + 8*l**3 - 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + 14. Let v = 29.3 - q. Let g = v + 10. Which is the biggest value? (a) g (b) -2\/13 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*n + 2*n = -24, 3*a - 27 = 3*n. What is the second derivative of g + 0*g**5 - 3*g + a*g**5 wrt g?\nAnswer: 140*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-4 + -1) - (-19 + 26).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + ((6 - -1) + -4 - 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**16*b)\/b**(-6)*b**(2\/3)*b**(-4\/3) assuming b is positive.\nAnswer: b**(67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44904003 is divided by 2641410.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16730492 by -6053.\nAnswer: 2764","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2358 and 11034?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g - 9*g - 540 = 0. Calculate the lowest common multiple of g and 2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -34*d**2 - 3*d - 3. Let j(r) = -851*r**2 - 74*r - 74. Give 3*j(l) - 74*x(l).\nAnswer: -37*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -3. Factor 4*x**2 + 3 - 2*x + 0*x**w - 4 - 5*x**2.\nAnswer: -(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*g**3 - 446*g**3 - 158*g**3 + 71*g**3.\nAnswer: -727*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 672.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-50)*-3*-1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 2905829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -66*k + 703. Let m(l) = 29*l - 350. Give 4*f(v) + 9*m(v).\nAnswer: -3*v - 338","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 0*i**2 + 1\/3*i**3 + 0*i + 1\/8*i**4 - 1\/120*i**5 - 3. Let z(m) be the third derivative of v(m). Calculate z(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*a - 6*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 535*i + 1055 = 0, 0 = 2*p - 193*i + 192*i - 8 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -2*f - 11 - 1, -519*s + 112 = -521*s + 26*f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001407 to 7 decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 3:30 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18439 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 831 + -823. Let q(o) = o**3 - 8*o**2 + 3*o - 15. Give q(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2645 + 3841. Let h = n + -583. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -887 (base 12) to base 4\nAnswer: -103213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3314 to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 u when three letters picked without replacement from ukkuuu?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3657561 rounded to 2 dps?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 3833859 to the nearest 1000.\nAnswer: 3834000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19408610.4733 - -19421914. Let s = a - 13370.53. Let c = 67 + s. Round c to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -155.15 (b) -3\/8 (c) 2\/5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2*w**4 - 3 + 5*w**2 + 2*w + 8 - 7 to u*w**2 + k*w**4 + a + q*w**3 + v*w and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 26945 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11089 - -2657. Find the common denominator of 0\/((-2)\/2) + (-1938)\/v and 7\/6.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/12 and 13\/4032?\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40*f**3 - 13*f**3 + 2*f**3 - 2150*f**4 + 1626*f**2 - 29*f**3 wrt f?\nAnswer: -51600*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 72679, -0.3, 21 in descending order.\nAnswer: 72679, 21, 4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/2*1)\/(((-396)\/6072)\/((-20)\/230)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 - 3*m + 3. Let k be o(-3). Suppose 3*z + 2*z = k. Suppose -a = -0*a - 4. What is the remainder when z is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13902 = -5*x + 7998. Let c be ((-1000)\/(-3))\/((-2)\/x). Round c to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 688 and -4.4?\nAnswer: -3027.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-7)\/4 - 3)*-4. Suppose 3*r - r - 291 = -3*y, -y + 2*r + 97 = 0. Let m = y + -59. Calculate the greatest common factor of m and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.92 + 0.861. Round f to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 85 + -80. Solve 0 = -b*g + t - 27, -2*t - 3*t + 15 = -g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**4\/l)\/(l*l*l*l\/l**(2\/3)*l))**18)**(-12\/11) assuming l is positive.\nAnswer: l**(288\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -251*b - 11044. Determine c(-44).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/7 (b) -1 (c) -0.069\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/5*70\/8260*295?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2498 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*j - 26 - 0, j - 22 = -2*n. Calculate the greatest common divisor of 126 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = 309*d - 26357 for d.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 566.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 9*c. Let k(j) = -2*j**3 - 10*j. Let q(o) = -4*k(o) + 5*u(o). Find the second derivative of q(v) wrt v.\nAnswer: 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 670656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88000 and 39600.\nAnswer: 792000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f + 90. Let q be p(-21). Suppose -q*r + 0 = -0. Solve r = -s + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4030321 (base 5) to base 2.\nAnswer: -1111101111001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + -1 - (-3 - 5). Suppose -7*a = -p*a - 27. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-4)*o**(-2)*o**(3\/2)\/o*o\/(o\/(o\/(o\/o**(1\/6)))) assuming o is positive.\nAnswer: o**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 86148308?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1.2. Let v = 70\/81 - 3128\/3807. Which is bigger: z or v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5*174 - 7*27\/63?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/2 + 182*p - 121\/2.\nAnswer: -(p - 121)*(3*p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*j + 5*x + 5, 5*j = -3*x + 1. Let k(b) be the first derivative of -11 - 4\/21*b**3 + 0*b + 4\/7*b**j. Factor k(h).\nAnswer: -4*h*(h - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22, -48, -84, -124, -162, -192, -208?\n\"Answer: v**3 - 11*v**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/3478675 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ophloolhhhohhhwlleo. What is prob of picking 1 e and 2 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 11*g**3 + 9102*g**2 + 544237*g + 2495010 = 0.\nAnswer: -763, -654\/11, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -281 + 276. Let v(f) = 5*f + 22. Let s be v(p). Sort 3, -5, s, 12 in decreasing order.\nAnswer: 12, 3, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seven halves of a millisecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 129 - 102. Calculate the lowest common multiple of 6 and t.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32712187754+-9900\nAnswer: 32712177854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 363368 - 2775004 = -55*a. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2573 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*s = -18*s - 89*v - 282, -16 = -5*s - 3*v for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160236 (base 8) to base 15.\nAnswer: 12087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 3352 = -2*d. List the prime factors of d.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.3 and -0.0489.\nAnswer: 0.11247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 23, -82, -259, -508, -829, -1222, -1687?\n\"Answer: -36*r**2 + 3*r + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*j**2 - 247*j - 23180 with respect to j.\nAnswer: 54*j - 247","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0*h)**4)**(-2\/91) assuming h is positive.\nAnswer: h**(-8\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/8206 and -13\/15486960.\nAnswer: 170356560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 349 + -353. Let j(i) = -i**2 - 4 + 1 - 3*i - 2*i. Let p be j(c). What is the highest common divisor of p and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/189347400 and 151\/1011780.\nAnswer: 1325431800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 + -88. Let n = 33 + j. Solve -z + d + 3*d + 8 = n, 4*z + 4*d - 12 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42942194?\nAnswer: 2, 21471097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391*v + 6124 = -132 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/336 and 19\/144.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 4*i + 10. Let t(y) = -y**3 + 4*y + 12. Let v(u) = 4*g(u) - 3*t(u). Let r(c) = -c**3 + 7*c + 7. What is -4*r(s) + 7*v(s)?\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40541700?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.8968057 micrometers?\nAnswer: 0.0000000008968057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + a - 54. Suppose 28*k - 21*k = -27*k + 1870. Let v = a - k. Which is bigger: 1\/148 or v?\nAnswer: 1\/148","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -138626 + 138815. Let f(r) = 2*r**2 + 7*r - 4. Calculate the smallest common multiple of f(-7) and t.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 684373592 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 8*p - 23*p + 12*p. Let w(b) = 0*b + 2*b**2 + 0*b. Give w(j(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (24 - 3) + -9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 l when three letters picked without replacement from {h: 1, d: 3, m: 2, l: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 0*c**3 + 2\/9*c**2 + 0*c + 43 - 1\/9*c**4. Factor x(k).\nAnswer: -4*k*(k - 1)*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 3\/5, -12, 2\/27, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/16)\/(-14*(-20)\/560).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24449 or 601?\nAnswer: 24449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -436, -868, -1298, -1726, -2152?\n\"Answer: x**2 - 435*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 (base 10) in base 13?\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 12:02 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5*a = -635, -5*i + 2*a = 6*a - 636. Suppose d + 3*d = -i. Calculate the lowest common multiple of d\/(-14) + (-2)\/7 and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*a + 8*a - 6 = -15*a, -3*k = -4*a + 27 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 129*r**3*u**2 - 6*r**2*u**2 + 10*u**2 wrt r.\nAnswer: 774*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 15 = -3*a, a + 3 = -3*v + 11 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/13)*x\/(x*x*x*x**(2\/27)*x*x)*x)**36 assuming x is positive.\nAnswer: x**(-4748\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6846 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-4) + -3)*12\/(-15). Let z(y) = 11*y**2 + y**3 + y - 12*y**3 - 11*y**v. What is z(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67981 divided by 1?\nAnswer: 67981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -387 + 2*i + 387.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.29 - -0.26. Let u = j - -0.43. What is the second smallest value in u, 0.03, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/9)\/(2\/3). Let l be (2 - m)*112\/42. Suppose 2*a - 12 = -2*i, -3*a - 5*i + l = -0*a. What is the remainder when a is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.28 - -0.28. Which is the smallest value? (a) -0.3 (b) -0.4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -6*y**2 + 5*y + 2. Let v(n) = -6*n**2 + 6*n + 3. Let d(x) = -6*r(x) + 5*v(x). Differentiate d(i) with respect to i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3103*t - 2075*t + 3948*t as a + v*t and give v.\nAnswer: 4976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -90421, -90428, -90439, -90454, -90473?\n\"Answer: -2*o**2 - o - 90418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*d + 3*d + 13*t - 38 = -8*d - 11*d - 8*d, 0 = -17*t + 34 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*y + 501670 - 175875. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*c + 3. Differentiate 1 + 6 + 0*s**c - 12 + 5*s**3 with respect to s.\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197341051 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -7 + -9 + 4 - 14?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 + -10 - -8) + 27 + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 79585 (base 10) to base 2\nAnswer: 10011011011100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68 + 80. Let o be (-3)\/(-150)*p\/3. Is 3 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38398 = t + 11127. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17.46 - -15.56. Which is the third biggest value? (a) t (b) 4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i\/(i*i**(2\/25)*i))\/i)\/i)\/i)\/i**(-2\/77) assuming i is positive.\nAnswer: i**(-5879\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50615 is divided by 1486.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5*t**3 + 12*t**2 + 18*t - 1. Let i(l) = l**3 - l**2 - 3*l + 1. Let j(p) = -5*a(p) - 5*i(p). Factor j(q).\nAnswer: 5*q*(q + 1)*(4*q - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.03 (b) 131 (c) 7 (d) 64 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 - 550 - ((-218)\/74 - 1)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677000 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 7*s**2 - 4*s + 9. What is f(-8)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 2 + 1717*x - 7 - 3 - 60*x + 2.\nAnswer: 1657*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 93*o**2 + 7*o + 22. Let j(c) = 280*c**2 + 21*c + 74. Determine -3*j(s) + 10*v(s).\nAnswer: 90*s**2 + 7*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 0 - 1 - 5 - 10*r. Let f be b(-9). Suppose -2 = -4*a - 5*z + 10, f*a - 9 = 5*z. Solve 0 = a*c + 7 + 8, -9 = 2*t + c for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 664.56.\nAnswer: 3322.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 6 - 8 + 19*t)*(-20*t**2 - 37837 + 37837 - 6*t).\nAnswer: -380*t**3 - 74*t**2 + 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*s - 28 - 6*s + 139*s**2 - 143*s**2 + 5*s to the form r*s + u + d*s**2 and give u.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1805686223 + -10.\nAnswer: -1805686233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -111 - -113. Let n(t) = -18*t + 2 + v - 4. Let d(p) = -2*p**2 - 6. Let h(s) = 1. Let o(q) = d(q) + 6*h(q). Give n(o(r)).\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3920 = -25*j. Let f = j - -201. Solve -4*c - f*c = -9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 1966*m + 2*m**3 - 1929*m - 21*m**2 + 25 - m**3. Calculate f(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*j - 14, -3*h + 4 = -5*h - 2*j. Solve -h*v = -2*k - 6, -5*v = 5*k - 3 - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 12*q - 13. Suppose 12*x + 5 = 9*x + k, -5*x = -5*k + 15. Let p = x + 12. Calculate r(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 at most as big as 349764\/1777?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(720) + (sqrt(720) - (1*sqrt(720) + sqrt(720))) + sqrt(720))**2 + (sqrt(5) + (sqrt(20))**2)*-2).\nAnswer: -4*sqrt(5) + 1360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 5220928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 0, 16, 42, 78, 124?\n\"Answer: 5*s**2 + s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 106705 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - 0. Let q(y) = -y**3 - 23*y**2 - 23*y - 18. Let b be q(-22). Sort -4, 7, r, b in descending order.\nAnswer: 7, b, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5037*d**4 - 4*d**3 + 4*d**2 - 5207. Let t(z) = 15111*z**4 + 11*z**3 - 11*z**2 + 15619. Let v(b) = 4*t(b) + 11*x(b). Differentiate v(h) wrt h.\nAnswer: 20148*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14549533*c*f - 910714480*f wrt c?\nAnswer: 14549533*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a decade in months?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1860786121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -3*o - 10 - 17, 200*i = 202*i + 5*o + 33 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 + 8 + (-1 - 0). Suppose 2*s + 5 + 1 = 4*o, -3*s + v = -o. Suppose -1 - 7*p**o + 4*p + 3 + 9*p**2 + 0 = 0. What is p?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -102, -4, -2 in ascending order.\nAnswer: -102, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 136 + -131. Let g(m) = r + 7 - m + 0 - 6. Calculate g(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2319 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/5 - 909*g\/5 + 906\/5.\nAnswer: 3*(g - 302)*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 - 96*i - 2304.\nAnswer: -(i + 48)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(3) - sqrt(72)\/sqrt(6)) + (sqrt(42)\/sqrt(2))\/sqrt(7)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 892573745 to the power of 1\/2, to the nearest integer?\nAnswer: 29876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -27. What is the highest common divisor of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - t = 20. List the prime factors of (-10)\/t - (-7)\/14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-40)\/12 - 209\/33.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 20 = -32*m - 27*m + 57*m, -4*a - 41*m = -646*m - 1135*m + 8740 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 22*k**2 - 24*k + 7. Let f be x(-21). Let w = -559\/8 + f. Which is the closest to -1? (a) 1 (b) 3\/7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1630171\/531 + 3070. Which is smaller: 0.1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/9 and -2\/639?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53 + 39 + 64)*(-133*n - 1459 + 1459) + (-1 + 1 - n)*(-4 - 1 + 6).\nAnswer: -20749*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 20027372, 20027371, 20027370, 20027369, 20027368?\n\"Answer: -w + 20027373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 11) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66*b**2 - 185*b + 106*b**2 + 195*b)*(-1 + 5*b - 3*b + 0*b).\nAnswer: 344*b**3 - 152*b**2 - 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/3)*r)\/r**(1\/15)*(r**5)**(15\/4))**(-9\/8) assuming r is positive.\nAnswer: r**(-3603\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 - -1) + 903\/(-70) and -47\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -1\/6*f**3 + 3\/4*f**2 - f - 2. Factor l(u).\nAnswer: -(u - 2)*(u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/((-41)\/39 - -1). Let g = h - -44. Suppose g*p - 7*w - 204 = -3*w, 0 = -p - 4*w + 60. Calculate the greatest common divisor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = i + 59 + 63, -56 = -k - 2*i. Suppose -17*l = -5*l - k. Suppose -2*h - 5*p - l = 0, h + 2*p - 4*p = 20. Solve -v + s = v + h, -2*v - 2 = s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - sqrt(38)\/(sqrt(8)\/sqrt(4))) + (sqrt(152)*2)\/sqrt(8) + 5 + 4.\nAnswer: 2*sqrt(19) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 4*h**5 - 916*h**4 + 21932*h**3 - 167612*h**2 + 227376*h + 1315440 = 0?\nAnswer: -2, 9, 10, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2191 - 3595 = 313*c + 3291 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -6 - (37 - 35)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.9 - 2.5. Let h = m - -11.4. Let k = 3.99 + 0.01. Which is the nearest to 0.3? (a) 5 (b) k (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -705 or -703?\nAnswer: -703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 8*o + 8. Let p(b) = -b**2 - 7*b + 3. Let c be p(-6). What is the remainder when x(c) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 415509.\nAnswer: 207754.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4006 and -6256119495.\nAnswer: -6256123501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (0 - (6 - 7)) - 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-3))\/t)**(-14\/9))**(-45\/4)*((t**(2\/3))**(-22))**(-30) assuming t is positive.\nAnswer: t**(775\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/((-7128)\/(-33)))\/(78\/18).\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.057279ug to tonnes.\nAnswer: 0.000000000002057279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 58*h + 39. Let g(k) = 29*k + 20. Let n(t) = -5*g(t) + 2*m(t). Is 8 a factor of n(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 7:42 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 10.38. Let w = y + 3.38. Let t = 0.01 + -0.31. What is the biggest value in -3\/4, w, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/67, 2\/3, -727, -5, 0.24?\nAnswer: -4\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 4*t + t. Let k(z) = z**2 + 5*z**2 - 3*z**2. What is k(b(s))?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241726 is divided by 130?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 189\/270*-25*(160\/35)\/8.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.01210057383 and -0.242.\nAnswer: -0.22989942617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -5*v**7\/14 + v**3\/3 - 9*v**2\/2 - 162*v. What is the second derivative of k(m) wrt m?\nAnswer: -300*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 m when three letters picked without replacement from {m: 2, j: 1, a: 1, d: 2, t: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a - 8. Suppose 2*p = 8*r - 7*r - 2, -5*p = -3*r + 8. Determine x(r).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 75.142 to the nearest integer.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/11 - 15872*k - 692781056.\nAnswer: -(k + 87296)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**3\/9 - 151*h**2\/3 - 22801*h\/3 - 1395. Factor i(d).\nAnswer: -(d + 151)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*d + 58 = r + 185 + 341, 84 = 4*d + d + 13*r for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 23799.\nAnswer: -7\/23799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h**3 - 3*h**2 + 6*h - 2. Let y(q) = 3*q**3 - 4*q**2 + 8*q - 2. What is 4*w(c) - 3*y(c)?\nAnswer: 7*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.111497 rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1034 - 1032. Solve 4*y + 24 = -4*k, 3*y + 8 = a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffffff. Give prob of picking 2 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3432081 divided by 1\nAnswer: 3432081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/4*4)\/((-3)\/(-12)). What is the third derivative of 33*x**3 - f*x**2 + 34*x**3 - x**4 - 59*x**3 wrt x?\nAnswer: -24*x + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15840669109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1560 and 90?\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -10*n - 29 - 16 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - 36 - (4 - 3 - 1 - (-13 + 4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 725.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Let t = 24\/17 + -256\/85. Let b be ((3 + 1\/1)\/2)\/2. Which is greater: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/(9\/(-864)*8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 9486?\nAnswer: 47430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 64*w**4\/3 + 9424*w**3\/3 - 2368*w**2 + 4*w\/3 + 592\/3 = 0.\nAnswer: -148, -1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -34, 2, -3\/4, 1887, 0, -1\/7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6900 = -4*a, -3*a + 6*a - 4*v = 5156. Is a a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12835*j - 12835*j - 13*j**2.\nAnswer: -13*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 76*x**4 + 29956*x**3 - 10808248*x**2 - 23452432*x - 3433440 = 0.\nAnswer: -622, -2, -3\/19, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 5*b + 4*b - 63, 54 = 4*n + 2*b. Suppose -83 = -5*c - 4*d, n = -d - 4*d. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31852*q**6 + 25*q**4 - 3930966*q**2 wrt q.\nAnswer: 3822240*q**3 + 600*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 479*d = 461*d + 54 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*j = 131, j - 102 = -4*l + 19. Solve -l*d = -21*d - 32 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 16 + 52. Let s(h) be the second derivative of -h**4\/12 + h**3\/6 + 11*h**2 - 5*h. Calculate the remainder when s(0) is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 12 - (112 + -110)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9532294 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.3 - -2.3. Which is the third smallest value? (a) 3\/16 (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 (base 14) in base 2?\nAnswer: 1001011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 25*c + 29. Let t be b(24). Suppose 41 = 5*m + l - 24, -5*m - t*l = -45. Solve -3*a = -5 + m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2106 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from {j: 12, y: 6, w: 1}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 40*p + 28. Let l be r(-41). Is 64623\/l*2\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*m**3 - 134603*m + 2871232 with respect to m.\nAnswer: 84*m**2 - 134603","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 11152304 (base 7) in base 14?\nAnswer: 1b3b3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -6. Suppose -2*h - 5*y + 31 = -3*h, 92 = -m*h + 4*y. Let b = -13 - h. What is the remainder when 14 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 1245133?\nAnswer: -1245132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/3, 2, 1, 1\/5, 0.3, 1231?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 36 + -1770?\nAnswer: -1735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/3488 and -123\/2272480.\nAnswer: 247700320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 216*k**2*x + 1728*k**2 - 43*k + 2*x + 5884 wrt k.\nAnswer: 432*x + 3456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = a + 138 - 123, -3*a = 4*b + 7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 650659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*q = 2*h + 195*q, -h = -h + 2*q - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 569 divide 40584494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 3:16 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*o - 2*o. Let v = o - 0. Suppose 0 = v*t + 3*t - w - 5, -5*w = 2*t + 25. Solve n - 3*n = t for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -186\/17, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 6 + 0 - 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -154 - -154.00154. Round a to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 2*p + 20 = 0. Suppose -p*v + 37 = -15. Suppose -16*u + 339 = -v*u. What is the remainder when u is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 19 - 6 = 0. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -33092\/23231?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, h: 11}. What is prob of picking 2 h?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**5 - 4*g**5 - 2*g**5 + (-3 + 1 + 0)*(g**5 - 3*g**5 + g**5) + (3*g**4 + 0 + 0)*(0*g + 5*g - 3*g)*(-1 + 1 + 1).\nAnswer: 5*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, l: 1, w: 1, p: 1, f: 1, k: 2}. Give prob of picking 1 k, 1 p, and 1 w.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1687 or 101269\/60?\nAnswer: 101269\/60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**3 + 5*n**2 - n - 5. Let b(g) = g**3 + 2*g**2 - g - 3. Let t(p) = 5*b(p) - 3*m(p). Suppose 3 = -v - 0. Let k = -2 + v. Calculate t(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(-20 + 2)\/18. Solve a = o + 4*v + 18, 2*v - 18 = 15*o - 11*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**4\/4 + x**3\/6 - 167*x**2. Determine i(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37960 + 37961. What is the third biggest value in 16.2, q, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3521\/13 - -271. Let s = 1 - 1. Let t = -1 - s. What is the closest to t in w, 1\/4, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73 - 68. Suppose -s = -0*b + 4*b - 173, -a*b = -5*s + 940. What are the prime factors of s?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233937727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1958520674 to the nearest integer?\nAnswer: 1251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -227*m + 207*m. Let r(h) be the third derivative of 0*h**4 + 7\/60*h**6 + m*h**5 - 5\/2*h**3 - 2*h**2 + 0 + 0*h. What is the derivative of r(d) wrt d?\nAnswer: 42*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3 = 0, -d - 2*j - 36 - 5 = 0. Let m = d + 37. Let f(g) = 11*g - 16. Let y be f(2). Solve 0*h - y = -m*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000047317 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 4:11 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -131662.95 rounded to the nearest 1000?\nAnswer: -132000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -t**5\/60 - t**4\/6 - t**3\/3 + 23*t**2. Calculate x(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1429*z**3 - 1616*z.\nAnswer: 8574*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -5. Solve -y - 2*w + 5 = 2, 0 = -z*y + w - 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 427049 and 4550.\nAnswer: 277581850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from ccddqdqcqccd.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 12*z - 10. Let a be h(-5). Let c = a + -103. Calculate the common denominator of -2 - -137*3\/c and 17\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 141120 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 0.4152, -0.3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -981\/31715 or 1?\nAnswer: -981\/31715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*-11*(-6)\/33 - 3. Let o(a) = 42*a**3 - 5*a**2 - 5*a. Let w(l) = 41*l**3 - 4*l**2 - 4*l. Determine k*w(j) - 4*o(j).\nAnswer: 37*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*r - 364, s - r - 348 = 1. What is the highest common divisor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 90, 0.2, -1\/3, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1\/378*(-945)\/(-270)*8\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50 - 50 - 3*o)*(-15*o - 10*o + 8*o) + 0 + 2*o**2 + 5 - 4 + 4*o**2 + 4*o - 4*o + (0 - 2 + 0)*(-2*o - o**2 + 2*o).\nAnswer: 59*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-8\/11)*z*(z*z*z\/(z*z**(-14))*z*z*z)\/z*z\/z**(2\/49)*z**(-2\/31) assuming z is positive.\nAnswer: z**(320268\/16709)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-88))\/((-1)\/2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -h**6\/60 + h**5\/60 + h**4\/6 + 2*h**3\/3 - 3*h**2\/2 - 2. Let c(x) be the second derivative of g(x). Is c(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**2 + 3*i - 3. Let g(m) = m + 30. Let u be g(-32). Let v be d(u). Let f be (-18)\/(-5) - (-2)\/5. Solve f + 0 = v*l + z, -4*l = 5*z - 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 2. What is the lowest common multiple of b(0) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*y - 4894494 = 4*y + 2*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (-89136)\/(-5760))\/((-7)\/4).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 89 - 59 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38841035 or 38841036?\nAnswer: 38841035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5163227497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - s = -4, -3*g + 0*g + s - 8 = 0. Let m be g*4\/(-1 - 3). Let k(w) = -3*w**2 + w + 2. What is k(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3087897 divided by -3.\nAnswer: -1029299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + h - 24. Calculate the smallest common multiple of h and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 566 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (104\/39)\/(2\/3). Solve b + 15 = c*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 883 a factor of 2117844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 465 and 2535.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2436, -4439, -6030, -7221, -8024, -8451?\nAnswer: -8514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9.1 from -50.\nAnswer: -59.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 19*m**2 - 2*m + 2. Let z(k) = 119*k**2 - 5*k + 11. Let r(w) = -115*w**2 + 6*w - 11. Let a(b) = 6*r(b) + 5*z(b). Determine 2*a(y) + 11*c(y).\nAnswer: 19*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 105392*m = -3*q + 105387*m + 50, -4*q + 44 = 5*m for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + l - l + 0. Let d be v(-2). Let f = 14.5 - 15. Which is the second smallest value? (a) d (b) f (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + d = -3. Let c be (-3 + 3\/(-9))*-3. Suppose g + c = d*g. Calculate the remainder when 18 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -953*p**4\/4 - 633*p**2\/2 + 891. Find the second derivative of u(m) wrt m.\nAnswer: -5718*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -338, -336, -334, -332, -330, -328?\n\"Answer: 2*v - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87 and 988233?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 13 = 4*d + 15, -40 = 3*d + i. Let l = d + 15. Find the third derivative of -12*x**2 - 6*x**2 - 4*x**l - 4*x**3 wrt x.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*u + 58862 - 61636 = 0 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.7 (b) -2 (c) -0.069 (d) 2.6 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354977557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 192 + -194. Let u = -19\/45 + 2\/9. What is the nearest to -0.1 in u, 5, d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9, w: 2}. What is prob of picking 1 l and 1 w?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*((-16)\/(-42))\/(-2). Let z be (-122)\/(-63) - 42\/189. Let m = g - z. Is m >= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 927673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101055 + 101055 + 1935*a.\nAnswer: 1935*a","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Expand (15*t**2 - 10*t + 9*t + 2*t)*(2*t + 0*t + 2*t) + t**3 - 3*t**3 - 4*t**3.\nAnswer: 54*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*s + 11 = -22, -5*j + 3*s - 51 = 0. Let h be (2 + (-24)\/j)\/((-7)\/(-21)). Solve -h = 3*w + x, 7 = 2*w + 4*x + 23 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25596901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -7*n - 3. List the prime factors of k(-7).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/8 - 2 - 3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 3*g**2 - 3*g + 2. Let w be x(2). Suppose w = 2*b + 5*b - 42. What is the smallest common multiple of b and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100110111001110001100 (base 2) in base 8?\nAnswer: -4671614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 476 and 1309?\nAnswer: 5236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + f - 46, -7*k + 10*k - 5*f = 50. Calculate the remainder when -2 - -3*(-84)\/(-9) is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(108)\/(sqrt(4)*1) - sqrt(27))\/sqrt(9))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 + 44*x**2 - 224*x + 240.\nAnswer: 4*(x - 2)**2*(x + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (18312\/(-96))\/(14\/(-16)) is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -9*u**3 + 21*u**2 - 269*u + 7. Let v(f) = -3*f**3 + 6*f**2 - 90*f + 2. What is -2*h(w) + 7*v(w)?\nAnswer: -3*w**3 - 92*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 20*g. Let w be t(7). Let k = -66416 + 66486. What is the greatest common factor of k and w?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = 6*h - 9*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 l(g) = 10*g - 56. Let x(v) = 3*v - 19. Let a(d) = 2*l(d) - 7*x(d). What are the prime factors of a(0)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36*k**6 + 39*k**5 + 8*k**4 + 568660*k**2.\nAnswer: 4320*k**3 + 2340*k**2 + 192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1569*z + 1573*z = -16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**3 + 4*q**2 + 10*q + 10. Let o be k(-4). Suppose -165*b = -o*b. What is the smallest value in b, 0.4, 5\/32?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-144)\/(-10) - (-88)\/(-220). Suppose -f - 2*i + 6*i = -r, -f + 5 = -i. Solve f*c + 7*c + 36 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 216723815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*r**3 + 220872*r**2 + 277385004*r + 503606480.\nAnswer: 4*(r + 2509)**2*(11*r + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**4\/5 + 12*w**3\/5 - 16*w**2\/5 - 12*w\/5 + 18\/5 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7\/1046 + 62167\/10460. What is the common denominator of 462\/(-24)*-3*(-2)\/24 and f?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-83)\/((-4233)\/(-1190))*(96\/28)\/2?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333512662.\nAnswer: 2, 7, 19, 557, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*x + 16, 2*l + 19 = -3*x + 8*x. Let n(s) = 5*s**2 - l*s**2 - 4*s**2. Let r(c) = 1 - 2*c - 1. Calculate r(n(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 151*r**3 - 44*r + 0*r**5 + 4*r**5 - 48*r**4 + 48*r**2 + 0*r**5 - 111*r**3 = 0. What is r?\nAnswer: -1, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4453\/70238 + -85\/346. Let d = t + -3\/29. Let y = -11.8 - -12. Which is the closest to -9? (a) d (b) y (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - (-3 - -4)) + 13. Let i be (32\/20)\/((-4)\/p). Let x(n) = n**3 + 3*n**2 - 4*n. What is x(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/17384661 and 9\/44427467.\nAnswer: 399847203","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of l**4\/12 - l**3 + l**2 + l. Let g be f(6). Suppose d - 5 = -3*k + 1, 0 = g*d + 3*k - 9. Solve d*o - o = -6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vftffffvffffgf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 332 = -2*b, 3*b + 54*z - 59*z - 494 = 0. What is the remainder when 492 is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -246 divided by -123.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1638577\/48 or -34138?\nAnswer: -1638577\/48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -11.65073 > -29\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fourty-eight fifths of a second?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q*u**2*x**4 - 4*q*u**2*x**2 + 952*q*u*x**3 + q*u*x**2 + 4*u*x**2 wrt x?\nAnswer: 24*q*u**2*x + 5712*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 444.3402m to nanometers.\nAnswer: 444340200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 + 2 - 1445*s - 35)*(-2*s**4 + 2*s**4 + 4*s**4).\nAnswer: -5780*s**5 + 8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -28*u + 27*u - 15, -u + 3*w - 3 = 0. Calculate the remainder when 96 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 848 and 2669398.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14856923177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -53*j**5\/5 + j**4\/4 - 223*j**2\/2 - 3*j - 750. What is the second derivative of i(r) wrt r?\nAnswer: -636*r**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3*v + 36, -4*r + 3*v = v - 78. Suppose -2*g + r = k, -g = 2*g. Calculate the remainder when 64 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 888303 and 429?\nAnswer: 9771333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (5 - -24)) + (-7 - -1)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 578 and 306?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 36*w + 154. Suppose -8*h - 70 = -10*h. What is the units digit of i(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18259.\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4)\/(-10) - (-598766)\/(-110865)) + 5 and -95\/4.\nAnswer: 4668","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -935 + 935.4. What is the fourth biggest value in -1\/5, 8, 0.1, z, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3648 is divided by 89?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 + 33a?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1859, -5\/2, 43, -1, 1\/5 in decreasing order.\nAnswer: 43, 1\/5, -1, -5\/2, -1859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (8 - 5)) + 16 + -14.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0 - -5) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*x - 25*x + 4*x + (2 - 1 + 0)*(-3*x + 2*x + 2*x) - x + 2*x + 0*x + (2 - 1 - 3)*(x - 3*x - x))*(0 + 2 - 4).\nAnswer: 42*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 526.29 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*s**3 - 26 - 42 - 13*s**3.\nAnswer: 12*s**3 - 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -641*x**3 + 803*x + 704*x - 1505*x to n*x + p + o*x**2 + j*x**3 and give j.\nAnswer: -641","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 111*g**2 + 439*g - 55. List the prime factors of j(-11).\nAnswer: 3, 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 29. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 9*q**2 + q + 18. Let x be m(9). Let a be ((-2)\/4 - 1)\/(x\/(-36)). Solve 0 = 18*c - 16*c - a for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9261319, -9261326, -9261333, -9261340?\nAnswer: -9261347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (5431 - -2)*1\/(15\/10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 137*v - 159. Let o be i(20). Let l = o - 1538. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/35 in -4062, -2\/3, 13?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 1)\/(0 - 1). Let y(g) = 5*g**3. Let o be y(c). Suppose -2*n + o*d = 2, -d + 7 = -n + 3*d. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1495955858?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001010110100110011001 (base 2) in base 9?\nAnswer: -4546284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27850441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**3 - 7*t**2 + 6*t - 14. Let m be u(-4). Which is smaller: m or -116\/5?\nAnswer: -116\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 2\/3 (c) 9 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6543320 divided by -8.\nAnswer: -817915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 13438*i + 4*i**3 + 4*i**3 - 13435*i + i**2 - 2*i**4 in the form d*i**4 + b + r*i**2 + o*i**3 + q*i and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oio when three letters picked without replacement from uooiv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 - -35?\nAnswer: 34.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 2*s - 36, -2*f + 3*f + s - 3*s + 17 = 0 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1113, 4845, 11059, 19755, 30933, 44593, 60735?\n\"Answer: 1241*h**2 + 9*h - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 12 = -3*f, 18*f - 17*f - 16 = 3*z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 - 91*x + 303. Let s be k(3). Solve s = -103*o + 107*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 8612*b - 6 = -8610*b, x = 3*b + 9. Suppose 4*q - 61 = -21. Solve -q*o + 14*o + 4 = x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l**2 - 128*l - 171. Let h be w(33). Which is the nearest to 1\/3? (a) h (b) -1 (c) 5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/6 - 12\/9. Let m(c) be the second derivative of c**5\/20 + c**4\/8 + c**3\/6 - c**2 + c. Let u(d) be the first derivative of m(d). Determine u(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*l = 28*l + 264 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 3*r + 831, 4*r + 1309 = 5*l + 197. Let i = 376 + r. Calculate the remainder when i is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zznn when four letters picked without replacement from nnnnnnnnnzz.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3704 = 3*s + r + 2709, 2*r = -2*s - 4274. What is s rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 148*q**4 - 70*q**2.\nAnswer: 3552*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((10 - 5 - 1)*(0*i - 3*i + 2*i) - 2*i + 3*i - 2*i + (1 - i - 1)*(0 - 3 + 5) + 1 - i - 1)*(100 - 100 + 42*i).\nAnswer: -336*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (6 - 15) - (31 - 13)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*u**3 - u**3 + 3*u**3)*(-3 + 5 + 1)*(-1 + 5 - 2)*(9*u + 14*u - 10*u) in the form f*u**2 + s*u**4 + o*u**3 + x*u + b and give s.\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*(1 + -3 - -3). Suppose -25 = 5*u, n*l + u + 2*u = -5. Suppose -2*j + 8 = -2*v - 4, j + 2 = -v. Sort v, l, 0 in descending order.\nAnswer: l, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*b**4 + b**2 + 227*b**3 - 9 + 223*b**3 - 668*b**3 + 219*b**3 to s*b**2 + p*b + o*b**3 + y*b**4 + q and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*c = 1080, 2*c + 0 + 2 = 0. Calculate the remainder when i is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 43007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5260 and 116112.\nAnswer: 152687280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -1 - 55*-1. Suppose -3*x = -k - 103. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7175687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 10*n. Is n equal to -1\/102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**5 - 2 + 2 + (2*x**3 + 2*x**3 - 2*x**3)*(x**2 + 2 - 2) + 1744*x**5 + 785*x - 785*x.\nAnswer: 1745*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-7)\/(-14))\/((-2)\/(-268)) is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/7 + 8*(-8)\/(-448).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2633*g + 22633. What is the remainder when k(8) is divided by 37?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -24 + 15. Suppose 5*b - 8*b = -g. Solve -b*h = -2*h - 5*p - 30, 0 = -h - 4*p - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -145*f + 1 + 45*f + 99*f + 752*f**2 in the form d*f + t + p*f**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**5 + 31142*u**4\/5 + 25014718*u**3\/5 + 1197663698*u**2\/5 + 2981486480*u + 586756000 = 0. What is u?\nAnswer: -1532, -25, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 7551.3 to the nearest one hundred.\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -657*v**4\/4 + v**2\/2 + 515*v + 1147. Find the second derivative of a(y) wrt y.\nAnswer: -3942*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 5*d**2 - 8*d - 14. Let n be a(-6). Let s(t) = 16*t + 7. Let w be s(n). Calculate the remainder when 7 is divided by 4\/(-10) - 85\/w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -21*v**2 - 5*v. Let z(g) = -10. Let t(f) = -f + 45. Let s(q) = 2*t(q) + 9*z(q). Give o(s(a)).\nAnswer: -84*a**2 + 10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.3 - 1.3. Let f = 0.6449 - 0.2449. Let u = 0.31 + 12.69. Sort u, k, f in descending order.\nAnswer: u, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13242, -26507, -39804, -53145, -66542, -80007, -93552?\n\"Answer: -2*c**3 - 4*c**2 - 13239*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 12*b**2 - 51*b - 11*b + b**3 + 11*b + 5*b + 30 + 10*b**2. What is u(-24)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 0*n**2 + 13314*n - 8 - 13315*n. Let s(i) = -1. Determine -2*m(d) + 18*s(d).\nAnswer: -2*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 63, 220, -74?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -5*n**5 - 1560*n**4 + 7895*n**3 - 9530*n**2 - 6300*n + 12680 = 0.\nAnswer: -317, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.9 (b) 1\/6 (c) 0.4 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**3*m**2 + 4*b**3*m*w - 11*b**3*m - 13*b**3*w - 20*b*m**2*w - 18*b*m**2 - 2*m**2*w wrt m?\nAnswer: 6*b**3 - 40*b*w - 36*b - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -20*l. Let j(y) = -9*y. What is j(c(d))?\nAnswer: 180*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/5408 and 155\/8089692.\nAnswer: 64717536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 28 = -4*m, 3*m = -5*i + 29 - 11. Let k be -2 - (0 + i + -3). Put -2, k, -1 in descending order.\nAnswer: -1, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1202)\/(-178))\/(2\/(-4)*-1). Let s = t + -1\/178. Find the common denominator of s and -77\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -28037, -56075, -84113, -112151, -140189, -168227?\n\"Answer: -28038*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2284, 3881, 4794, 5023, 4568, 3429, 1606?\nAnswer: -901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/6929 and -113\/56784?\nAnswer: 2328144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -25*c + 54*c - 28*c + 6 + 13. Let r be -1 + (3 - 0) + (-6)\/3. What is h(r)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = -5*l + 2*c, 4*c + 21 - 83 = -3*l. Let h be l\/3 + (-2)\/(-6). Let r be 14\/24 - 3\/h. Is r equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20253606 + -5?\nAnswer: 20253601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 4*k + 50. Let o be r(-10). Which is bigger: o or 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 428759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 2\/5, 3\/7, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000001110011111111 (base 2) in base 15?\nAnswer: -54d12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4 + 276*q**3 - 2578*q**2 + 2304*q.\nAnswer: -2*q*(q - 128)*(q - 9)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-12 - (0 + 2)). Let r be (-2)\/3*u\/(-25). Let q = 11 + -9. What is the nearest to 0 in r, -1, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -301 - -301.24. What is the third smallest value in 1\/3, 2\/3, z?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 282, -15 in decreasing order.\nAnswer: 282, 1\/6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/84 and 47\/42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 154*g*h**3*q**3 - 2*g*h**2*q**3 + 3*g*h*q**3 - 13*g*q**3 - 5*g*x + 3055*h**3*x - 7*h**3 - 327*h*q**3*x wrt x?\nAnswer: -5*g + 3055*h**3 - 327*h*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 512922a (base 11) to base 5.\nAnswer: 4304413031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 - -13 - (-4)\/((-8)\/(-4)). Suppose 26 = -4*i + 5*c, 4*i + 3*c = 2*i - 2. Let p be -1 + (i - -1 - -74). What is the highest common divisor of p and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 2. Suppose 2*h = -h + t. Differentiate 0*s**2 + 0 - s**2 - h with respect to s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*20.289209.\nAnswer: -10.1446045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(675))**2 + 3 + 0.\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 66 = -o. Let n be 81\/135 - 914\/(-10). Suppose 4*l = -3*q + n, 0 = l - q - 2*q - 8. Which is bigger: o or l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1433*j**2 + j**3 - 28*j + 8*j + 716*j**2 + 717*j**2.\nAnswer: j**3 - 20*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.5 (b) 0.3 (c) 0.08 (d) 3\/68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-23))**(5\/6)\/(z\/((z**(-20)*z)\/z*z)*z**(-5)) assuming z is positive.\nAnswer: z**(-205\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 5*h**2 + 4*h + 2. Let p be t(4). Is 166\/p + (-1 - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46071 (base 8) in base 14?\nAnswer: -717b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 149532308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**5 + 87*v**4 - 453*v**3 - 1251*v**2 + 3456*v + 6804 = 0 for v.\nAnswer: -2, 3, 9, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17614?\nAnswer: 2, 8807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - o - 8 = o, 4*o = 2*s + 8. Let a be 1\/1 - (-2)\/s. Is -1 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 4:03 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5 + 5*r**2 - 4 - r + r. Let u be j(-1). Let l(z) = -z**2 + 9*z - 8. What is the tens digit of l(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -3 (c) -6\/7 (d) 0.38 (e) 1 (f) 234\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (4 - (-13 + 8) - 7)) + 8\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128395235.\nAnswer: 5, 25679047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 103761 + 58?\nAnswer: 103809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*b + 4. What is the second derivative of -17*w - 3*w**2 - 5*w**2 - 3*w + b*w wrt w?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1820?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 15*y**2 - 16*y + 3. Let n be d(-16). Suppose 3*w - 228 = 3*p, 6*p - n*p = 5*w - 386. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + 3*r - 8, 2 + 1 = 6*v + 3*r for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x + 536 - 176 - 181 - 179.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 17. Let z(x) = -545*x + 2. Is z(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -2*t**4\/3 + 31*t**3\/6 - 19*t**2\/2 + 11024*t. Determine s(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f - 1. Let x be i(-3). Let r(h) = 2*h + 5*h - 4*h - h. Let t(b) be the first derivative of -2*b**2 - 15. Calculate x*r(g) + 2*t(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3) + (28 - 12) + 7 + -3.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 741821 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**5 + 79*y**4 + 80*y**3 = 0. Calculate y.\nAnswer: -1, 0, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 5, 4\/31947, -0.134, -3 in decreasing order.\nAnswer: 5, 1\/2, 4\/31947, -0.134, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001011 (base 2) to base 13.\nAnswer: a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1865200 is divided by 9546.\nAnswer: 3730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1917 - 8017. Round c to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27070, -56172, -85286, -114412, -143550, -172700, -201862?\nAnswer: -231036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3\/2 + 6*g**2 - 42*g + 48.\nAnswer: 3*(g - 2)**2*(g + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1031491068.\nAnswer: 2, 3, 1873, 45893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105556122?\nAnswer: 2, 3, 7, 93083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79492945?\nAnswer: 5, 7, 23, 14107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1, -2\/15, 1111?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 930933 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 6 = -10. Let s be 18\/(-22) + a\/(-11). Let k be (-1 - s)\/((-10)\/10). Solve k*g + 2*g = -4*p + 4, -4*g = -3*p + 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 79\/3. What is the closest to m in 0.1, -0.4, 1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.7 (b) 0.3 (c) -1 (d) -1.06 (e) -0.08 (f) 410 (g) -0.3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohitixd. What is prob of sequence to?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-940)\/(-70) - (-30)\/(-21). Let k be 4\/6*(-1 - n\/(-9)). Determine f so that 2\/9*f**3 + 0 - k*f + 2\/9*f**2 - 2\/9*f**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 60\/89412701?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18605960 or -5?\nAnswer: 18605960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21887564.\nAnswer: 2, 881, 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (122\/61)\/((-2)\/(-6)*2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 smaller than -10886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 6*j = 37, 233*j - 26 = 4*f + 231*j - 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 7*j = -21. Suppose -28 = -j*d - 0*d. Let i = 73.9 + -73.7. Which is the nearest to 2? (a) -10 (b) d (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i*i*i*i*i**(2\/7)\/i*i)))**(2\/33)\/(i**(-15)*i)**(-32) assuming i is positive.\nAnswer: i**(-34476\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -699*h - 378. Let s(k) = -k. Let j(w) = -r(w) + 4*s(w). Is j(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 4*h**2 - 9. Give n(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a87 - 172?\nAnswer: 1915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 938106 and 190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*x - 112 = -2*x, 4*m + x = -114. Let r be (-1)\/7 - m\/7. List the prime factors of (r + 52\/(-16))\/((-3)\/(-324)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.6 + -6. Let w = -916.26 - -916.660004. Let n = w + g. Round n to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 1430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21.4 + 0.4. Let a = 123 + w. Let o = 102.000138 - a. What is o rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 3*l + 1. Let w be u(-3). Let h = 35 + w. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2335229*-2\nAnswer: 4670458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -25, -46, -85, -148, -241?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 1. Let y = 9 - 13. Let j(u) = -2*u + 4. Let l be j(y). Let z be (1\/2)\/(6\/l). Let i(q) = -2*q**2 + q - 2. Calculate z*i(r) + s(r).\nAnswer: -2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -7*m + 5*m. Calculate the least common multiple of 14 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {c: 2, i: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*z**4\/5 + 17*z**3\/5 - 12*z**2\/5.\nAnswer: z**2*(z + 3)*(7*z - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -7*p**2. Let w(x) = -3*x. Let s(j) = -2*j. Let l(y) = 5*s(y) - 3*w(y). Calculate r(l(u)).\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 4*k - 6, -32*y + 33*y + 5*k = 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2740)\/105*(-1)\/(-2). Let u = 40\/3 + o. Let i = -0.1 - 8.9. Which is the second smallest value? (a) u (b) i (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/32 - 14\/8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -174 - -248. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6402 + 6803. Which is the second smallest value? (a) -5 (b) x (c) 1\/5 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -125*a**2*m + 1759*a**2 - 659278*m wrt a.\nAnswer: -250*a*m + 3518*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9392459ml?\nAnswer: 0.0009392459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 22*u - 18*u + 7 = 0, -3*u = 2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 233?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -98 - -100. Solve -2*f - r*f - 5*j = -1, f + 2*j - 1 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -389 = -8*n + 6*n + 5*i, -i - 401 = -2*n. Let f = n - 203. Is 3\/7 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l**(-1\/6)*l)*l)\/l)**(-2\/5)*l*l\/(l**(-1\/10)*l)*l*l**(4\/9)\/l)**(-13\/5))**(-1\/17) assuming l is positive.\nAnswer: l**(1729\/7650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3994, -8, 0, -1, -3, 3 in increasing order.\nAnswer: -8, -3, -1, 0, 3, 3994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**4 + 0*q + 0*q + (1 - 1 + 2)*(2*q**4 - 2*q**3 + 2*q**3) + 7*q**4 - 239*q + 239*q to the form t + j*q**2 + z*q + a*q**4 + m*q**3 and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/14)\/(15\/(-10)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 293833.8?\nAnswer: -293833.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 97561197?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 9:45 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -5, -6, -2, 5 in decreasing order.\nAnswer: 27, 5, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 12. Let c be q(0). Let z = c - -31. List the prime factors of z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 125 - 124.8. Let m = 12 - 5. Let g(o) = o**2 - 10*o + 17. Let u be g(m). Which is the fourth biggest value? (a) -1\/4 (b) h (c) -5 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -3*f**5\/5 - 19*f + 34. Find the first derivative of g(j) wrt j.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 4. Let u = -170 - -172. Suppose u*h + 4*s = 10, -4*h - 5*s = -11 - 6. Calculate the remainder when h is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4680 - -4729. What is the remainder when 635 is divided by z?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 1249 = -5*t, 1052 = 5*t + o - 191. What is the remainder when t is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2 + 3. Let t(b) = 19. Let g(z) = 3. Let c(r) = 6*g(r) - t(r). Calculate 4*c(k) + n(k).\nAnswer: -2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -4849010 to the nearest 100000.\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 296241564 divided by -45674.\nAnswer: -6486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -j - 2*q, 4*q - 9 = -3*j + q for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 205, -468, -2303, -5882, -11787?\nAnswer: -20600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001273 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62421018512998 + 5.\nAnswer: -62421018512993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -117, -54, 145, 522, 1119?\nAnswer: 1978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 - -14. Let p be (s\/(-20))\/(1\/(-8)). Is (24\/p)\/(4\/(-50)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, c: 1, x: 1, m: 1, f: 4, e: 4}. Give prob of sequence xerf.\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11 - -12)*(126 - 1). Suppose 0*k = 2*l - 2*k - 124, 2*l = 3*k + d. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46*l**4 + 8*l + 3 wrt l?\nAnswer: -552*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of ((-24)\/(-14))\/((-10)\/(-105))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**46)**(-3\/10)\/((y**13\/y)\/y**(1\/3)) assuming y is positive.\nAnswer: y**(-773\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.2 - -3. Let h = -1.7 + g. What is the second biggest value in h, -2, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7\/(-3))\/((-77)\/66). Solve n*g - 3*g + d = 2, 2*g - 5*d + 7 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l - 2*a - 14934 = -15*l, 4*a + 14934 = 3*l. Is 17 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -24 (b) 58\/39 (c) -16\/11 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 10, t: 1, e: 4, k: 5}. Give prob of sequence tee.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - x**2 - x + 7. Let m be y(0). Suppose -m*r + 81 = -4*r. Calculate the remainder when r is divided by (8\/20)\/(3\/105).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -l + 9, 4*v - 2*l + 7 = 3*l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.7 - 0.3. Let g = -6.2 - r. Sort -0.1, g, 4 in increasing order.\nAnswer: g, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195893*s + 97941*s + 97947*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 810514.7 millilitres in litres?\nAnswer: 810.5147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2268)\/(-8)*2*1. Let v = f - 327. Let o = v + -5042\/21. Which is the nearest to -1? (a) -1 (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 828 is divided by 408.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 6*i**2 + 5*i - 4. Let u be c(-2). What is the third derivative of -n**2 - 9*n**6 + 5*n**2 - 9*n**6 + u*n**6 wrt n?\nAnswer: -1920*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4*(sqrt(891) - (1*sqrt(891) + sqrt(891) + 1)) - ((sqrt(891) + 2)*-5 + (sqrt(891) - (-5 + -2*sqrt(891))))) + -5)**2.\nAnswer: 38232*sqrt(11) + 1158217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 1:31 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 190 + 124. Suppose w = 6*q - 412. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -345121, -348262, -351403, -354544, -357685?\n\"Answer: -3141*p - 341980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11344339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(3\/(-18)) - 2\/2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20286207737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -709*v + 3852. Let u(f) = -7*f. Determine z(u(n)).\nAnswer: 4963*n + 3852","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20218, 161543, 545130, 1292107, 2523602, 4360743, 6924658, 10336475?\nAnswer: 14717322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**3 - 7*p**2 + 7*p. Let j(x) = 16*x**3 - 36*x**2 + 36*x. Let k(y) = -2*j(y) + 11*r(y). Let v be k(2). Which is bigger: v or -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 487583331?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - -16 - (-12 + 7). Let x = 8 - 6. Solve x = 5*i - 4*v - j, v + 7 = 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70545708199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + c**2 - 7*c + 1. Let g(m) = m**3 + m**2 - 9*m + 1. Let k(u) = -4*g(u) + 5*w(u). Let q(l) = -37*l**3 + 6*l**2 + 6*l + 6. What is 6*k(z) - q(z)?\nAnswer: 43*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002207 to 7 dps.\nAnswer: -0.0000221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 66317499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2098*i**2 - 1 - 2117*i**2 + 1.\nAnswer: -19*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*z + 26 = z, -5*z = 3*t - 22. What is the second derivative of 0*u**t + u**4 - 6*u**4 + 6*u wrt u?\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 4899.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108636 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22\/(-33) - 58\/3. Let j = z + 24. Suppose -4*k - 48 = -5*n, -4*n + 3*k - j*k + 51 = 0. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**4 - 6*s**3 + 1659*s**2 - 1650*s = 0. Calculate s.\nAnswer: -25, 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 take away 1.73?\nAnswer: -24.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.5 + 15. What is the nearest to -1 in z, 0.3, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-160)\/(-25)*13195\/1624?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 7441 and 414851.\nAnswer: 422292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 26581 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 73681432?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 7906 = 5*m, m + 185*s - 187*s = 1574. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -2\/7 (c) 0.3 (d) 973\/9 (e) 0 (f) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1222711 rounded to 1 dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 696\/15 + (-99)\/(-165). Solve -r*v = -48*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4748 - 85511\/18. Suppose 420*z + 9120 = 422*z. Calculate the common denominator of w and 1\/(-5) + z\/(-1575).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (82 - 80) + (-5 + 3 + 0 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((((-616)\/(-210))\/11)\/(-4))\/(3\/65).\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (3 - 3 - (-2 + 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 406*b**2 - 585*b**2 - 2 + 104*b**2 + 2. Let t(v) = 2024*v**2. What is -6*t(f) - 161*u(f)?\nAnswer: -69*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-6492.\nAnswer: -32460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - f + 3, 8*n + f = 3*n + 9. Is 40 a factor of -2*30*(n + 17\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 6*d + 7. Let x be i(7). Let g be -145*(x + 4 + -3). Let z = g + 1098. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5005347\/2 + 2502714. Let n(i) = -i + 2. Let o be n(0). Factor -17\/2*m**3 - 1\/2*m**4 - 63\/2*m**o + 0 + a*m.\nAnswer: -m*(m - 1)*(m + 9)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 636 = 7*f + 118. Suppose f - 26 = 2*q. Calculate the highest common divisor of q and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12781888*j**3 - 9101814*j**2?\nAnswer: 76691328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 182088076, 182088073, 182088068, 182088061, 182088052, 182088041?\n\"Answer: -d**2 + 182088077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112 divided by -20890.\nAnswer: 56\/10445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 597 or 596?\nAnswer: 597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 2 + -1 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*m + 18 = 0, -3*v - v + 76 = 2*m. Suppose -v = -4*f - 5. Solve -5*g - f*h - 23 = -2*h, 3*g + h = -15 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1080 by -2384.\nAnswer: -135\/298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 2*g = 25 - 23, 2*g = 4*d - 22 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 k when four letters picked without replacement from rkipfeefpkfeikk?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3894 (b) 11 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -598, -4617, -15528, -36775, -71802, -124053, -196972?\n\"Answer: -574*b**3 - 2*b**2 + 5*b - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 f when four letters picked without replacement from {f: 9, j: 1, i: 10}?\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o. Let m(c) = 12767*c**2. Calculate u(m(j)).\nAnswer: -25534*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 4*n**2 + 7*n + 3. Let f(x) = -3*x**2 - 2*x + 2. Let c be f(-2). What is the units digit of a(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235839354 a multiple of 498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 u, and 2 l when four letters picked without replacement from {z: 1, u: 3, h: 1, c: 4, l: 5, r: 4}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/9 + (-6)\/(-18). Suppose -b = j - 4. Suppose -3*s + 0*g = -g - 9, -j*s + 3*g + 9 = 0. Is 3 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1999168.\nAnswer: 2, 31237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*a - 87003 = -109200 for a.\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -241 - -183. Is (10 - f\/(-6))*(0 - -2631) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 100 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 532\/21*(75\/(-20))\/(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 1011 - 46. Differentiate 161*p**4 - 309*p**4 - 4 - 7 + h*p**4 with respect to p.\nAnswer: 180*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 - 0.9. Let u = -51\/55 - -8\/11. What is the third biggest value in u, -0.3, l, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -3, -9 in increasing order.\nAnswer: -9, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 less than 4.78996?\nAnswer: -6.21004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1433440 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*r - 11*r + 7*r + 2*r in the form k*r + v and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-8) - 92\/(-112). Let g = h - 1\/7. Let p = 863 + -865. Which is the biggest value? (a) p (b) 1.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226*o - 2*o + 7454 + 9418 = 0. Solve -58 - 312 = o*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37 take away -2996956676?\nAnswer: 2996956676.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14125.03 + 14125. Let h = -0.91 - -0.01. Which is the fourth biggest value? (a) g (b) h (c) 3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 + 55 = -12*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 18662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**3\/3 + 3*f**2 + 4*f. Let j be v(-9). Let o(q) = -1 + 7*q**3 + 14*q**3 - j*q**3. Calculate o(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quqq when four letters picked without replacement from {q: 5, u: 9}.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**4\/12 + 29*h**3\/6 - 33*h**2 + h - 65. What is the units digit of c(-33)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80098.3 nanograms to tonnes.\nAnswer: 0.0000000000800983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.172*-851440.\nAnswer: 146447.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i + 3. Let y(t) = t**2 - 6*t - 3. Let v be y(7). Let r = -20 - -61. What is the remainder when r is divided by u(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -49? (a) -39 (b) -30\/17 (c) 2 (d) -11\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 758546*4\nAnswer: 3034184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -489be - 19?\nAnswer: -489d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 2. Let b = 14 - k. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s + 5*s - 4*s)*(2 + 0 - 3) + (36 + 275*s - 137*s - 140*s)*(1 - 2 + 0) in the form n*s + l and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (-1)\/(5\/155). Let p = 57\/2 + t. What is the common denominator of p and -97\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385)\/(sqrt(539)*3))\/(3*sqrt(448)))**2.\nAnswer: 5\/254016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = v + 10*l - 18, -5*v - 4*l = -118. Suppose v*k = 3*k + 167105. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000836 to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 - 64776*u + 129546. What is k(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244*u - 359*u - 751*u - 131*u - 134*u.\nAnswer: -1131*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p - 55. Let s(u) = 813034*u**2 - 406531*u**2 - 406525*u**2. Give s(j(m)).\nAnswer: -352*m**2 + 9680*m - 66550","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1052 a factor of 8799980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 596665 - 596911 = -82*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/5 + 46*i**2 - 896*i\/5 + 888\/5.\nAnswer: -2*(i - 111)*(i - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 209.99 + -215. Let p = -5 - v. Let q = 0.010098 - p. Round q to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35502.45365 - 0.54635. Let l = 35502.67942 + x. Let b = l + 0.32. What is b rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 14*t - 13. Let f be d(3). Differentiate 204 + 76*y - f*y - 2*y + 195*y with respect to y.\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1858899 and -1858844 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1120 + -231?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q**2 + 3*q - 3. Let l(n) = 3*n**2 + 2*n - 2. What is 5*l(d) - 4*o(d)?\nAnswer: -d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 11:27 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**3\/2 - 7*j**2\/2 - 4*j - 9. Suppose 2*p = 3*p + 3. Let v be g(p). Solve -1 = -2*z - 3*r, -z + v*z + r = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -7, 47 in ascending order.\nAnswer: -7, -1\/3, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -66\/13 in -5, -303, 1\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/7*-2)\/(7\/(-420)*15)\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 955.1913mg in micrograms?\nAnswer: 955191.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3\/5, -53, 0.2, 1\/9 in ascending order.\nAnswer: -53, 1\/9, 0.2, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r + 11*r = 31*r + 12157200. Round r to the nearest 10000.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345814 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*q - 795 + 753. Solve -3*x - 2*x - 5*j = -10, 0 = 4*x - q*j + 16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 7 = -j, -9 = 2*z + 1. Calculate the smallest common multiple of j and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 707 = -3*l + 2*h - 1434, 4*h + 20 = 0. Let r = l + 1157. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 6*g = -5*g + 26, -4*a + 2*g + 28 = 0. Let l be a\/(-15) + (-411736)\/(-90). Let k = l - 4582. Calculate the common denominator of k and 71\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 101445344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.4 in -6, -6.24979, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 2961.\nAnswer: 1\/2961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 137829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -271310507 divided by -23\nAnswer: 11796109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 28*y**2 - 97*y - 115. Calculate c(-31).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 12. What is the highest common divisor of 88 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 37*i. Let y(s) = -4*s**2 - 12. What is j(y(h))?\nAnswer: -148*h**2 - 444","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 38 = -4*w, x + 2*x - 17 = 2*w. Let q be ((-8)\/(-100))\/(x\/15). Let c be (2\/(-10))\/(8\/(-10)). Sort c, -5\/6, q in increasing order.\nAnswer: -5\/6, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -5, -0.4, 38, -55, -1\/5 in descending order.\nAnswer: 38, -1\/5, -0.4, -5, -31, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, g: 2, o: 8, a: 2}. What is prob of picking 1 g and 1 e?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1066?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/6 - (0 + (-19)\/3). Let k(l) = l**2 - 8*l + 13. Let n be k(a). Calculate the highest common factor of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34.299 + -1.061. Let n = -0.084 + 36.084. Let r = n + t. Round r to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.66 - -109.66. Let c = o + -108.000087. What is c rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/4936 and -33\/1036.\nAnswer: 1278424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 956794080?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*n + 312 = -3538. Solve 150 = 10*f + n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 367*t + 6528. Determine s(17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s - 10 = j - 27*s, -3*j - s - 5 = 0. Suppose j = -10*t + 3 + 17. Solve t*y = -4, q + 7 = -0*q - y for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0*y + 20 = -4*y, 3*y = -5*z - 7. Let k be 2 - z*0\/2. Suppose -4 = -5*h + 6. Solve k*r - h*i = 0, 0*r + 4 = r - 2*i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/30 - (-6)\/(-5). Suppose 3*x + 0*n = -5*n - 5, n + 1 = 0. Put -5, x, t in ascending order.\nAnswer: -5, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147 + (-17 - -4) + 30 - (15 + 3 - 5)\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/28))**35*f\/((f**(1\/2)*f)\/f)*f**(-5\/11) assuming f is positive.\nAnswer: f**(-53\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 4*c. Suppose c = -4*k - 4*a + 8, -3*k + a + 21 + 5 = 0. What is the second derivative of -k*d - 18*d**4 + 27*d**4 - 2*d wrt d?\nAnswer: 108*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 81, -5, 0, 1, -1\/68?\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*i**2 + i + 76*i**2 + 2*i**2 in the form j*i**2 + t + l*i and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 2*b**2 + 4*b. Let d be 3\/(((-9)\/4)\/3). Let j be w(d). Suppose 2*n - 22 = -4*z, -2*n - 4*z = -3*z - j. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -91*h + 3*h + 264. Let t(z) = 2*z**3 + 6*z**2. Let k be t(-3). Solve k = 5*c - 2*c - h for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.292*1.4.\nAnswer: -0.4088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 5:46 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p - 3. Let c(m) = 7*m + 7. Let k(s) = -4*c(s) - 9*z(s). Suppose -3*y = -3*j - 15, -3*y + 5*j + 18 + 5 = 0. What is k(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11130 (base 16) in base 8?\nAnswer: -210460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84667*w - 2822*w**2 - 84667*w)*(w**2 - 2*w + 2*w).\nAnswer: -2822*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 177, 176, 173, 168?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4666*x**4 - 39021*x**3 - 43832905*x wrt x?\nAnswer: 55992*x**2 - 234126*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**3\/5 + 156*x**2\/5 - 159*x\/5 = 0. What is x?\nAnswer: -53, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**2 - 29*d - 223. Let w be q(-7). Let m be -1*543\/(-1098) + 36\/w. Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3807642665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1077, 4287, 9633, 17115, 26733, 38487, 52377?\n\"Answer: 1068*a**2 + 6*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2453 * 59\nAnswer: -14.4727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**3\/21 - 15*v**2\/14 - 16*v\/7 - 410. What is d in b(d) = 0?\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2121 + 3303?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -8. Let v(u) = -10 + 9*u**3 + 7 - 2*u**3 + 3*u - w*u**2. Is 17 a factor of v(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 7:27 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/4)\/(3701\/1234 - 3). Round q to the nearest 10.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 761915 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 - 4*x**3 + 7*x**3)*(-376 - 131 + 9)*(0*x + x + 0*x).\nAnswer: -996*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - h**2 + h - 1. Let q be j(1). Let i be q - (-3 - -2 - 2). Suppose -o + 5 - i = 0. Calculate the greatest common factor of o and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (735\/(-28))\/7*(-2)\/20.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmncmmcmmxncxy. What is prob of sequence cnx?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 157*m. Is b(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/(sqrt(3)*-6) + sqrt(3) - (sqrt(3) + -2 + 4))**2.\nAnswer: 2*sqrt(3)\/3 + 49\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/2 - 3699*u\/2 + 78561.\nAnswer: -(u - 42)*(u + 3741)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/5671 and -51\/5.\nAnswer: 28355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 + 963 = 5*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2020, 1\/15, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**4\/2 - 1155*j**3 + 890502*j**2 - 230039429*j + 1364269827\/2 = 0. Calculate j.\nAnswer: 3, 769","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -107 + 106.392. Round z to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*t + 84*t + 87*t - 259*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 770, 1542, 2318, 3098, 3882, 4670?\nAnswer: 5462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100998 is divided by 16831.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 733732 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 384 and 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) 5 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0388 * 0.5\nAnswer: -0.0194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + u + 7*u = 13*u + 20, k - 11*u - 20 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 17 - 8. Let h(t) be the first derivative of 1\/12*t**3 - 1\/8*t**2 - 1\/4*t + 1\/16*t**4 - s. Let h(g) = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p**2 + 0*p + 0*p)*(3 - 3 - 2*p) + (-2 - 2 - 2)*(499*p**3 + 3254 - 3254) to the form w*p**3 + i*p**2 + z*p + g and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 722*a. Let x(t) be the third derivative of -t**4\/24 - 2248*t**2. What is v(x(r))?\nAnswer: -722*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(416) + sqrt(416) - sqrt(416) - (sqrt(1664) - 5*sqrt(1664)))\/(3*sqrt(16)\/(sqrt(8) + sqrt(392)*-6)).\nAnswer: -656*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (33 + 0 - 75)*(-20*m + 79*m - 31*m)*(m + 3*m - 3*m) in the form r*m + l + j*m**2 and give j.\nAnswer: -1176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -428 + 445. What is the greatest common factor of i and 901?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17629*w + 17574*w - 605 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/y**(-20\/9))*y**(-43)*(y*y*y*(y*y*y*y**(-4\/7))\/y*y*y)\/((y\/y**(1\/2))\/y) assuming y is positive.\nAnswer: y**(-4825\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 0*w + 4*w + (-w - 5 + 5)*(2 + 0 + 0) - 2*w - 10*w + 23*w)*(w**3 + 0*w + 0*w).\nAnswer: 11*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 35 - 3 = 0. Solve -x + 15 = -4*y, -5 = 3*y + x + b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 82032.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5599.7025531 - -5599.7. Round b to five dps.\nAnswer: -0.00255","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 366 = -5*z - 21, 4*f + z + 516 = 0. Let i(w) = 15*w**2 - 5*w - 4. Let x be i(6). Let q = f + x. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m**(-3\/4)\/m)\/m*m**(-1\/4))**(1\/5)\/((m**1\/m*m*m)**(-9\/2)*m**2*m*m**(-3\/2)) assuming m is positive.\nAnswer: m**(71\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -2*w + 12, 0 = -3*p + 4*w - 9 - 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2933b (base 12) in base 5?\nAnswer: 3320003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -8 - 9 + 26 + c. Calculate o(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4087 to the nearest 100.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1 (b) -0.5 (c) -5 (d) -0.028\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((336\/(-357))\/(-2))\/(20\/(-30)).\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - z + 2*z)*(-5 - 9 + 12).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 581683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 129056065 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (285\/38)\/((-50)\/(-160))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -20*q**2 - 61*q. Let m be k(-3). Let l(n) = 88*n + 9 - 197*n + 99*n - n**m - 12*n**2. Determine l(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.13 - 0.13. What is the closest to -0.5 in w, 5, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/6)\/((-1)\/8). Suppose 3*g + d = -0*g - 2*z, 0 = -4*g - 3*z - 6. Solve g*t = 4*t - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -16. What are the prime factors of 0 - f - (-2 - 17)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 0*f + 1\/30*f**6 + 19\/15*f**5 + 34\/3*f**3 - 73 - f**2 + 35\/6*f**4. Factor g(o).\nAnswer: 4*(o + 1)**2*(o + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-9))\/(((-20)\/(-24))\/(32\/128))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**7\/315 - 7*x**4\/8 + 3*x**2. Let n(t) be the second derivative of l(t). Let z(p) = -4*p. What is n(z(v))?\nAnswer: 128*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + -0.4. Suppose 4*g - 86 = -14. Let q = 18 - g. What is the second biggest value in q, 0.3, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 6 + -4 - 8) + 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 761482062 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*d + 48. What is the third smallest value in -5, d, -2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1733964.\nAnswer: 2, 3, 144497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 104893 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/4)\/((-13)\/(-78)). Let v be 9\/18 + 10\/4. Suppose 2*p - 3*u - 2317 = -2*p, -r = v*u. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*x + 1024 = 0, 2*p + 2*x = p + 498. Is p a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1231 divide 94725450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0.121, -1, 3, 0.04 in decreasing order.\nAnswer: 3, 0.121, 0.04, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + (3 - -5 - 5) + (4 - 13) + 8?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.9, -0.0143, -1, -0.3, 2 in decreasing order.\nAnswer: 2.9, 2, -0.0143, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxl when three letters picked without replacement from {n: 1, u: 4, l: 1, x: 2, z: 1, w: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*h**5\/13 - 696*h**4\/13 + 2910*h**3\/13 - 1022*h**2\/13 - 132*h\/13 = 0.\nAnswer: -1\/10, 0, 1\/2, 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -33*z. Let f(t) = -1. Let k(v) = v - 5. Let l be k(6). Let u(g) = -g - 3. Let x(c) = l*u(c) - 3*f(c). Calculate b(x(m)).\nAnswer: 33*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-10*2\/5. Let g be m\/((-64)\/12)*4. Suppose q + 10 = 6*q. Is g at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15067407?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62847655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324 = 2*b + 3*s - 1493, 5*b + 3*s = 2918. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1523594000 rounded to the nearest one million?\nAnswer: -1524000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*d + 162462*d**2 - 4*d**3 - 162462*d**2.\nAnswer: -4*d**3 - 21*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 66449423419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000028058 rounded to 7 dps?\nAnswer: -0.0000281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of b**3\/6 - 2*b. Let a be x(8). Let g be a*(-1 - (-6)\/4). Calculate the greatest common factor of 2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 126 = -4*o, 50*c - 7*o + 211 = 54*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/9)\/((56\/(-12))\/(-7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from vuuvs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 18 (b) -0.1 (c) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2656 - 122305?\nAnswer: -119649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13 times 97\nAnswer: 1261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of 7*r**5\/60 + 149*r**4\/24 - 55*r**3\/3 - 2060*r**2. Factor h(q).\nAnswer: (q + 22)*(7*q - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.6088? (a) 4\/43 (b) -2 (c) -0.4 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, b: 6, l: 1, h: 3}. Give prob of sequence bbho.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z, -3*f - 5*z + 9494 - 5526 = -7777. Is f a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 421332248 and 3056?\nAnswer: 1528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 7:15 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.8046 * 0.27.\nAnswer: -1.027242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 653797 is divided by 99.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2 - 1800*n + 405000 = 0. Calculate n.\nAnswer: 450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 382.1245 millimeters in centimeters?\nAnswer: 38.21245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (168\/(-30))\/((-4)\/(-10)). Let z be (24 - 20)\/((j\/20400)\/(-7)). Round z to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**3 - 13*b**2 - 4*b + 4. Let v(k) = k**3 + k**2 + k - 1. Calculate -o(i) - 4*v(i).\nAnswer: -2*i**3 + 9*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1302 + 10?\nAnswer: -1232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14 and 3794.\nAnswer: 3808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 + 59*q + 316. Give x(-23).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) -25\/2 (c) 0.2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3486 by -6.\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/2 - (-5 - 2). Let z(r) = 3*r - h*r + 3 - 3. Calculate z(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-810)\/2025)\/((-6)\/(-10)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/3)\/((-34)\/51). Let r be (-1 - -1) + -3 + (8 - p). Solve 8*x = r*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 123 = p, 4*p - 466 = q - 4*q. Let u be -5*(3 + (-26)\/5). Suppose 4*m = u*m - 161. Calculate the highest common divisor of m and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/6)*a)**(-20) assuming a is positive.\nAnswer: a**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1361 is divided by 453.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 = 6*f + 22. Let p be ((-2)\/(-6))\/(3\/f). Which is bigger: 6 or p?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 26 and 3350.7508?\nAnswer: 87119.5208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 74692707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 140363\/524440 - -2\/9365. What is the common denominator of 23\/5 and i?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2 (b) 1507 (c) 0 (d) -376\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74 or -2?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c + 14 - 2*c**2 + 0 - 3 to d*c + n + h*c**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**3 - 5*a**2 + 22*a + 6. Give b(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1295)\/(-45) + 2\/9. Let l = 44 - w. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-0.296.\nAnswer: 0.0296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 38 = 4*s, -5*g + 0*s + 35 = -s. Suppose 11 = -5*m - 44. Let o = -9 - m. Calculate the highest common divisor of o and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 - -111. Let o be a\/78 + (1 - 3\/1). Which is greater: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15516802 to the nearest integer?\nAnswer: 3939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + -3. Let q(j) = 10*j**2 - 26*j - 8. Let m be q(3). Sort m, a, -5, -2.\nAnswer: -5, a, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -125, 778, -1, 1 in increasing order.\nAnswer: -125, -10, -1, 1, 778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -696, -1387, -2088, -2805, -3544, -4311, -5112, -5953?\n\"Answer: -l**3 + l**2 - 687*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 6 - 24 - 15 - o.\nAnswer: -o - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -596, -1155, -1682, -2177, -2640, -3071?\n\"Answer: 16*l**2 - 607*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/9, 3\/2, 0.8, 3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135029?\nAnswer: 135029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 60 = 80. Let i(z) = -z**3 + z**2 - 2*z - 1. Let c(a) = a**3 - 2*a**2 + 3*a + 1. What is q*c(j) - 3*i(j)?\nAnswer: j**3 + j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 29*t**2 + 18*t**2 + 25*t**2 - 46*t**2 + 37*t**2. Let a(s) = -6*s**2 - s. Determine a(f(z)).\nAnswer: -23814*z**4 - 63*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32682180 is divided by 58?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 9704*r**2 + 19407*r + 4. What is b(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5582 - 5552. Let w = -4 - -25. Calculate the lowest common multiple of f and w.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 4*p**4\/5 - 44*p**3\/5 + 152*p**2\/5 - 208*p\/5 + 96\/5 = 0.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 48? (a) 0.1 (b) -2 (c) 2\/3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2716566?\nAnswer: 2, 3, 17, 26633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -4) + 1 + -31 - (-46 - -45).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -813 + 1287. List the prime factors of g.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/(-114))\/((24\/81)\/(-2))\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 o when four letters picked without replacement from {o: 5, e: 8}.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q*s**2 - 810*q*s + 1009*s**2 wrt q.\nAnswer: s**2 - 810*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 334 - 114. Let u = t - -35. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2665 - 4228 + 5094)*(s + 0*s - 2 + 1)*(s - s + s**2).\nAnswer: -1799*s**3 + 1799*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, -0.96, -2\/3, 4, 1\/8 in decreasing order.\nAnswer: 56, 4, 1\/8, -2\/3, -0.96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 58.813414 and -0.7?\nAnswer: -41.1693898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 + 4*k**2 + 2*k**2)*(8 - 3*k**2 - 8)*(-2 + 0 - 6)*(5 - 36*k - 5).\nAnswer: -1728*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 202*m**2 - 933*m - 422. Calculate j(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-10)*5\/(-15)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from yyddrryyrryydd.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.634593 millilitres in litres?\nAnswer: 0.009634593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14, -15, -12, -5?\n\"Answer: 2*l**2 - 7*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-888)\/(-333))\/(4\/(-6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(28)\/sqrt(4))*-1 + -3 - (sqrt(28) - sqrt(252)*-4 - sqrt(28) - sqrt(28))\/(-1*sqrt(64)).\nAnswer: 1 + 7*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*i = 532. Let c be (-57893)\/i - 1\/4. What is the tens digit of ((-18)\/(-4))\/(-9)*c\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 91*h**4 - 137*h**3 - 67746*h?\nAnswer: 1092*h**2 - 822*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*k - 2*k + 0*k)*(0 + 1 + 1) - 2*k - 3 + k - k in the form j*k + w and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0077 * -16.\nAnswer: 0.1232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 80, 108, 148, 200?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + -34 - (-4 + 10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 1446\/679?\nAnswer: 1446\/679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**2. Let a(p) be the second derivative of -1\/2*p**4 + 4*p + 0*p**2 + 0 + 0*p**3. Calculate a(f(i)).\nAnswer: -24*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6538351493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.216448 to 3 decimal places.\nAnswer: 2.216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 420545900 rounded to the nearest one million?\nAnswer: 421000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -10*h**2 + 1\/12*h**4 + 13\/6*h**3 + 0*h + 0. Let t be w(-5). Solve -7 = u - t for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 87007733990 from -0.1.\nAnswer: -87007733990.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 71323037, 142646075, 213969113, 285292151, 356615189, 427938227?\n\"Answer: 71323038*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 1.2. Let l be (-70)\/(-22) + -1 + (-6)\/3. Put p, l, 1 in decreasing order.\nAnswer: 1, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 260\/(-38) - 14\/(-56)*28?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4239128 micrometers to meters.\nAnswer: 0.0000004239128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.5 - -1. Let b = -6.131 + 4.831. Let h = b + l. What is h rounded to one dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 71 and 7.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-5 + (-107)\/(-22)). Suppose 4*a - 15*a + s = 0. Solve 3*c - 4*g + 17 = 0, 2*g - 18 = a*c - 2*g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -187.96 times 1?\nAnswer: -187.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 10*c**3 + 2*c**2 - 2*c + 1. Let q = 5 + -4. What is the units digit of l(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.124, -39168, 0.2, -4\/3 in decreasing order.\nAnswer: 0.2, 0.124, -4\/3, -39168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130242, 260468, 390680, 520872, 651038, 781172, 911268, 1041320?\nAnswer: 1171322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3668569 and 7751.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 123799070 to the nearest integer?\nAnswer: 11127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -6 + -8 + -1 + -2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 19 = 4*p, 10*t + 15 = 6*t + 3*p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/7)\/((-13)\/(-8 + 125)). Let g = j - -237\/28. Which is the nearest to -1? (a) -2\/27 (b) 1\/2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48712?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 342796104 and 315?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 j, and 1 z when three letters picked without replacement from wowoooowfooooojzwwwz?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 9 = -4*w - j, -j = -5*w + 15. Solve -h - 3 = w*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38357692.\nAnswer: 2, 9589423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10698 by 6814.\nAnswer: 5349\/3407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 807083 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13952 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 6*p + 5. Let m = 11 - 16. Let k = m - 2. Calculate x(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 47*c**2 - 33*c - 47. Is k(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**5 - 36039*p**4 + 108647385*p**3 - 2479861725*p**2 = 0 for p.\nAnswer: 0, 23, 5995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 2*v = 3, -w - 4*v + 9 = -0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i - 18 + 18)*(-4 - 1 + 6) - 1 + 1 - i - 3*i + 0*i + 2*i + (-i - i + 0*i)*(-1 - 5 + 4) + 2*i - 4 + 4 - 12*i + 4*i + 9*i to f + y*i and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1328, -5326, -11988, -21314, -33304, -47958?\n\"Answer: -1332*l**2 - 2*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -422\/35 - -90\/7. Which is the closest to 0.2? (a) -0.6 (b) 3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*g, k - 18 - 8 = -2*g. Let m be (-21)\/(-5)*4080\/1428. What is the highest common divisor of m and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 442915 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l - 2*l + 21*l**2 - 1 - 20*l**2 as h*l**2 + f + z*l and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13513237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4. Let n(y) = 11. Let p(f) = -4*h(f) + n(f). Let t(q) = q**2 + 4*q + 6. Let g be t(-4). Let m(z) = z**2 + 6. Give g*p(b) + 5*m(b).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-128)\/(-192))\/(-1*1\/2)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 divided by -62490?\nAnswer: 53\/31245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3399310633 to the nearest integer?\nAnswer: 1504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26231 - 16727. Let f = h + -2957. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 + 2)*(6 + 2*u - 6).\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 0*z - 8 - z + 9. Let y(f) = -4*f + 1. Let q(r) = n(r) - y(r). Let k(g) = 2*g**2. Calculate k(q(h)).\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 4, -2 in decreasing order.\nAnswer: 4, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -15729858 divided by 873881\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 10*i = 8. Let y(u) = -u + 61 - 21*u**3 - 61. Determine y(i).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 248880\/(-13872) + (-18)\/(-1).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mdm when three letters picked without replacement from {d: 3, i: 4, m: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -490914216631 and -4.\nAnswer: -490914216635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*u + 0*u - 4 = 0, 6 = -3*u. Find the second derivative of 4*t - t**4 + 3*t**4 - 2*t + z*t wrt t.\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -244044 + 5?\nAnswer: -244036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (117 - 115)*1*-4 - 2354\/(-297).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 20*n**2 + n - 4. Give m(20).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22155 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 11 = 4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 110966531 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**2 - 53*h - 10. What is j(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*(2*sqrt(228) - sqrt(228)) + -2*sqrt(228)*-1))\/(3*(sqrt(300) - ((sqrt(300) - 1*sqrt(300))*3 + sqrt(300) + sqrt(300)))).\nAnswer: 2*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + -2)*-1 + (0 + sqrt(272))**2*6.\nAnswer: -4*sqrt(17) + 1634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - 4*sqrt(11)*2)**2*-3.\nAnswer: -1617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 13) to base 5\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 227848597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/11)*t*t*t**(1\/2)\/t*(t\/(t\/t**5))\/(t\/(t*t**0)*t)*(((t**(-4)\/t)\/t)\/(t\/(t**(1\/6)\/t)))\/(t**0)**(6\/7) assuming t is positive.\nAnswer: t**(-71\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 842.1054cm to micrometers.\nAnswer: 8421054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 5 = 0, -q - 7*k = 3*q - 3 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5315 - 2337. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(528) + 4*sqrt(528)))\/(4*(-1*sqrt(99))\/sqrt(9)).\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 302023298 at most as big as 302023301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -181962885 by -13.\nAnswer: 13997145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -159 >= 0.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 24596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*u - 17*u - 9*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 + 13278*j - 39807.\nAnswer: -3*(j - 4423)*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 + -8 + -5 + 18 + -51 + 28?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 291.4 * 0.8\nAnswer: 233.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(-1))\/((-21)\/7))\/((-30)\/(-61380)*-22)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5560537128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -196*y**3 - 21084*y**2 - 744480*y - 8588592.\nAnswer: -4*(y + 27)*(7*y + 282)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**3 - 29308*d**2 + 1295360*d - 14270256 = 0. What is d?\nAnswer: -7371, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 235 and 918004.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 - -61. Suppose d + t = j, -4*d + 6*d = -2. Let a be 31\/j + (-19)\/95. Calculate the highest common divisor of 3 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66 + 11*o - 66)*(-o**2 - 3*o**2 + 6*o**2) + (-3*o + o**2 + 3*o)*(3*o - 3*o - o).\nAnswer: 21*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00016087537 rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -179 - 2*x + x**2 + 90 - 13*x + 91 to the form k*x**2 + z*x + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 55, 0.5, 3, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -0.4 (b) 7 (c) 1\/228\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 72484516 or 72484514?\nAnswer: 72484516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3393 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 14. Let a(n) = 5. Let b(u) = -11*a(u) + 4*d(u). Let o = 79 + -73. Let f(x) = 2*x + 5. Calculate o*b(m) - f(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 8*r**2 - 3*r - 3. Calculate the remainder when 137 is divided by v(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjp when three letters picked without replacement from ppppjpjjpppppjpjpjj.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/20553 and 29\/23681?\nAnswer: 28630329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 19*q**6\/60 - q**5\/60 + q**4\/24 + q**3\/3 - q**2. Let b(h) be the first derivative of w(h). Is b(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/18*-436*(-2)\/(-16)?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -99 (b) 0.2 (c) 1 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4962.91359 rounded to the nearest integer?\nAnswer: -4963","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -357, -360, -363, -366?\n\"Answer: -3*k - 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand z - z + z**4 + (2*z + 2*z - 5*z)*(-7*z**3 + 3*z**3 + 0*z**3) + (-4 + 4 - 1)*(22*z**4 - 13*z**4 + z**4).\nAnswer: -5*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of l**4\/2 - 610*l**3 + 13595*l**2\/2 + 6554. Find the second derivative of p(t) wrt t.\nAnswer: 12*t - 3660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmp when three letters picked without replacement from mmmbpepbmmbbbebmpemb.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -139\/4 + 35. Let x(z) be the first derivative of -c*z**4 + 2\/3*z**3 - 2 + 0*z**2 + 0*z. What is the third derivative of x(n) wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97, -151, -203, -253, -301, -347?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -767 + 904. What are the prime factors of x?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/4*3\/(-24)*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-6\/11)\/(t\/t**(-9)))**(-15))**1 assuming t is positive.\nAnswer: t**(1740\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 8*p + 10. Let o be u(-4). Let d(q) = -13*q - 8. Let b be d(o). Let h = b - 49. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -66\/5 (b) -2\/3 (c) 5\/3 (d) -384 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -75.34 + 0.34. Let m = k + 50. Let d = m + 24.6. Which is the nearest to -10? (a) 5 (b) d (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52477152*l**5 - 30934830*l**2.\nAnswer: 3148629120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 - (3 - 136\/(-84)) and 89\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/636 and -53\/670?\nAnswer: 213060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 9 + 20 + (0 - 3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.16 + -0.06. Which is the nearest to o? (a) 2 (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011110001 - 11?\nAnswer: -10011110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from lpxllxlx?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 79010 rounded to the nearest 1000?\nAnswer: 79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4399115, 8798253, 13197409, 17596583, 21995775, 26394985?\n\"Answer: 9*k**2 + 4399111*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*a**4 + 998 - 503 + a - 546 + a**3 to the form p*a**4 + r*a**3 + g + u*a**2 + s*a and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + -33.3. Let n = 33.028 + s. Round n to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**4 - 108*q**3 - 78*q**2 + 18900*q + 91875 = 0 for q.\nAnswer: -7, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (12\/9)\/(179396\/3129)\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + (-8 - -6) + 4 + -8 + 8?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -71a06 + 81?\nAnswer: -71935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 86*z**3\/3 + 14*z**2 + 9*z - 65. Is b(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*(u*u\/u**12*u)\/u*u*(u*u*(u*u**(-8)*u)\/u*u)\/u)**10)**0)**(-2\/85) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -11 + 10. Let a be 3\/(-42)*(-5 - -2). Which is smaller: p or a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 244\/(-28) + (-4)\/14. Let u = f + 13. Suppose -3*s + 0*s - 4*h + 71 = 0, -105 = -u*s + 5*h. Solve s = -2*l - 3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 l, and 1 x when four letters picked without replacement from {e: 2, x: 3, v: 2, p: 1, l: 3, i: 4}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40040 and 1841840?\nAnswer: 1841840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 14*k + 60*k - 292 = -16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 17*-4296\nAnswer: -73032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12.5 and -0.5?\nAnswer: -6.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 38488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-16*25\/(-60))\/((-10)\/45*-1)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -263, 3, 4, -4.\nAnswer: -263, -4, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-336)\/90) + ((-12)\/(-21) - 1).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 5*l + 2, 10*l - 2 = 11*l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 126 (b) 4855 (c) -2\/3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 + -5)\/((-5)\/(-2)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1135600 divided by -25?\nAnswer: -45424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-58962)\/(-4) - (-11)\/22 - -2. Suppose -24541 = -5*a + x, h = -0*a + 3*a + 4*x. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11202112 (base 3) in base 2?\nAnswer: -110110001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 - 5665*m**2 - 17030*m - 11360.\nAnswer: 5*(m - 1136)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 875*o + 485*o - 397*o + 338*o as n*o + h and give n.\nAnswer: 1301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*((-2)\/(4\/(-10)) - 0). Let w(u) = 4*u + 6. Let f(b) = -2*b - 3. Determine m*f(z) - 3*w(z).\nAnswer: -2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 124 = -4*w + 88, 3*w - 159 = -4*t. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/4 (b) -0.02269 (c) -1\/8 (d) 4 (e) -65 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40038003 a multiple of 556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 - 80*i - 266*i**2 - 8 + 57*i + 20*i.\nAnswer: -266*i**2 - 3*i - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnkxfkxxkkxkkevekkxx. Give prob of sequence ve.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*f = -734*f - 6555 - 25485 for f.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**2 - 18*v - 34. Let m be h(11). Calculate the highest common divisor of m and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 y when three letters picked without replacement from {y: 6, t: 4}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - y**2)*(-y**2 - 4*y**2 - 2*y**2)*(-3*y - 2*y + 3*y).\nAnswer: -14*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 9*d - 7. Let g be c(-9). Let y = 4 - g. Solve 4*i + 17 = -n, -5*i + 5*n - 1 = -y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -4 (b) 432 (c) -2 (d) 0.2 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4 = -4*o, 0 = -2*n + 2*o - 4 + 2. Which is the nearest to -1\/3? (a) n (b) 0.5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + u + 6, -4*p - 32 = 5*u - 3. Suppose -4*g + 5*c - 289 = 0, 2*c - 153 + 7 = 2*g. Let k be g\/(-56)*-2 - -3. Is p equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, y: 4}. Give prob of picking 2 y and 1 v.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m + m + m**2 - 4*m**2 + 6 - 4 + 2*m**2 + (-221 - 57*m + 221)*(-6*m - 2*m + 3*m).\nAnswer: 284*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 3, -2\/19, -6850 in decreasing order.\nAnswer: 3, 2, -2\/19, -5, -6850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 166718772519 minus 0.2878?\nAnswer: 166718772518.7122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**3 + 8601766*g**2 - 8601766*g**2.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 4, -156, 0, 14.68, -4, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0527 + -17.5473. Let a = 16.7 + x. What is the second smallest value in a, 2\/13, 0.3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 7 - 1. Suppose -6 = -y*j - 2*x + 3*x, -4*x = j - 12. Suppose -5*v + 36 = -24. Calculate the greatest common factor of v and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 220.38154 and 79970.\nAnswer: 80190.38154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 1244*k - 1238*k. Put 0.02, k, -5 in descending order.\nAnswer: 0.02, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x - 8 = -17*x. Solve -3*r - x = r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6293?\nAnswer: 7, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13647837 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*r + 237 + 192 = 0 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, g: 1}. What is prob of picking 1 g and 2 u?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.5 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 42*c**2 + c - 6. Calculate n(2).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -153032 (base 6) to base 8\nAnswer: -35114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, -540, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 65. Suppose 0*c + 3*h = -2*c + 27, 2*c - 2*h = u. Suppose -4*j + 14 + c = 0. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 620519 to the power of 1\/2, to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20559.\nAnswer: 3, 7, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4425092*1\nAnswer: 4425092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31566?\nAnswer: 2, 3, 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41045*n**2 - 39*n - 115598309 with respect to n.\nAnswer: 82090*n - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/600*(20\/(-96))\/((-2)\/18).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bdbd when four letters picked without replacement from {b: 2, d: 18}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 + o**3 + 0*o**3 + (-3*o**2 - o**2 + 6*o**2)*(-2*o + 2*o + o) - 2*o - 2*o**3 + 3*o**3 + 2*o**2 + 0*o**3.\nAnswer: 5*o**3 + 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -32.14 > -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4*x**3 + 170*x**2 + 78*x - 221. What is c(-42)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millennium in months?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 15257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**5\/20 - 5*d**4\/4 + 18*d**2 - 60*d. What is the derivative of q(f) wrt f?\nAnswer: -3*f**2 - 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 645139, 1290273, 1935407, 2580541, 3225675, 3870809?\nAnswer: 4515943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/6)\/(1879\/11274).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*q - 5 = 4*q, -4*n + 4*q + 12 = 0. Let x be 1 + -2 + (4 - (n + -3)). Suppose 0 = -t + 3, -b + 93 = x*b + 4*t. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lmmrmlxm. Give prob of picking 2 x and 1 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15)\/(-6) + 2)*(-24)\/6. Is (d\/24)\/(-3) - 160175\/(-20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 - 4*h + 3. Let p(v) be the third derivative of -v**3\/6 + 47*v**2. Calculate -d(m) - 4*p(m).\nAnswer: -2*m**2 + 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**3\/11 - 886*y**2\/11 + 73746*y\/11 - 213210\/11 = 0. Calculate y.\nAnswer: -515, 3, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (166248\/(-56)*(-2)\/3)\/(7\/147).\nAnswer: 2, 3, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1280 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 63241*l + 316160. Give i(-5).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/13 and -109\/24?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 199780558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((-1*(sqrt(300) + 1 - sqrt(300)) - (3 + sqrt(300)*2 - sqrt(300)))*6)**2)*6.\nAnswer: 17280*sqrt(3) + 68226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 9*x + 14. Let n be d(4). Calculate the highest common factor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 0)\/((-1)\/7). Let f = -0.44 + 0.64. Sort n, f, 4 in ascending order.\nAnswer: n, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t - 99*t**2 + 71*t**2 + 97*t**2 + 4*t.\nAnswer: 69*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*z - 11 = y, -2*y = -z - 3. Suppose -4*f + 917 = -n, -y = 2*n - 2. List the prime factors of f.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 37*t + 23*t + 76*t - 37*t. Let i(b) = -2*b**2. Calculate i(q(p)).\nAnswer: -19602*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 65153*y + 4 - 505329*y.\nAnswer: -440176*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/8690925 and -44\/25.\nAnswer: 8690925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2704\/(-56) - (-2)\/7. What is the remainder when (5\/(-1))\/(h\/45 + 1) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**5 - s**3 - s**2 - s. Let c(o) = o - 6. Let b be c(4). Let n(l) = 2*l**4 - l**3 - 3*l**2 - 2*l. Let u(t) = b*n(t) + 2*f(t). Factor u(m).\nAnswer: -2*m*(m - 1)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6311050?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(10\/11))**(-22)\/((i**(-2\/51)\/i)\/((i\/(i\/(i\/(i*(i*i**(-1\/4)\/i*i)\/i))))\/i)))**(-19\/5) assuming i is positive.\nAnswer: i**(246943\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 461\/1130?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (1 - (8 - 2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + 2*o = -3*k + 16, -3*o = -2*k - 11 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkzhvtkvhtkkvktvktk. What is prob of picking 2 v and 2 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4 = p, 2*p + 0*p + 2*z = -16. Suppose 2*d - 6*d = 0. Let w = 4 + d. Put -5, w, p in descending order.\nAnswer: w, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s - 2*s - s)*(-1 + 1 + 2*s) + s - 2*s**2 - s + 30*s - 30*s + 18*s**2 + 6*s**2 - 26*s**2 - 19*s**2 to c*s + d*s**2 + k and give d.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 7*z**2 - 4*z + 2. Let j be p(6). Suppose 22 + 48 = 5*o. Calculate the highest common divisor of j and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 42\/11 - 8\/(-44). Let w = -40 - l. Let p = w - -79. Calculate the remainder when p is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3\/5, -26, -5, -2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, 3, -4, 18665?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iixxxiii. Give prob of picking 3 i and 1 x.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 8. Let u(g) = -g + 3. Let n(k) = a(k) - 3*u(k). Let i(t) = 15*t**2. Determine i(n(j)).\nAnswer: 135*j**2 - 90*j + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 222241 and 0.05.\nAnswer: 222241.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 3. Let z = 18 + -17. Which is greater: z or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1502387659152.1 - -1\nAnswer: 1502387659153.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125 + 125 + 5*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 = -2143439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108900 and 1500.\nAnswer: 544500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -21*c - 90. Let u(d) = 3*d + 13. Let k(n) = 27*u(n) + 4*z(n). Let i be k(-6). Suppose 7*a - 4*a - i = 0. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57.0217 - -57. Let k = 0.02170838 + l. Round k to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 456807430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 + 0*y**2 - y**2 + 33 + 1034*y - 26.\nAnswer: -2*y**2 + 1034*y + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25913399?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -1. Let l = u + -16. Let m = -4 - l. Which is smaller: m or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/35 and -151\/252.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 6*k + 30, 3*j - 197 = k. Calculate the highest common factor of j and 10400.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57134*q**2*r**2 + 6*q**2*r + 992*q*r**2 - 15*q*r + r**2 - 1 wrt q.\nAnswer: -114268*r**2 + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 17*o - 10. Let x(j) = -j + 1. Let y(c) = -r(c) - 5*x(c). Is y(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*s**3 + 33*c**3*s + 4*c*s**3 - 5*c*s**2 - 64*s**3 - 4 wrt s?\nAnswer: 6*c**3 + 24*c - 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**18*y*y*y*(y**(-1\/10)*y)\/y*y)\/(((y\/(y**(1\/6)\/y))\/y)\/(y*y**(2\/71)\/y)) assuming y is positive.\nAnswer: y**(22466\/1065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - w - 19 = -i, w = -5*i + 17. Solve -3*c = o + o + 3, -5*o = i*c + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 13*p + 2. What is the tens digit of (-146 + p)*(-13)\/39?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -0.2. Let n be 0 + 669\/12 + 2\/8. Let j = n - 52. Which is the biggest value? (a) 3 (b) v (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k - 574832 + 574832.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 728035221?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -0.83.\nAnswer: -0.083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4125, -124, -5?\nAnswer: -4125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 234 (base 7) to base 6\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.08 plus -298.73?\nAnswer: -296.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -548 + 548. Which is smaller: i or -122?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03819 less than 712003.6?\nAnswer: 712003.56181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.5 - -17. Let n = 0 + -0.4. Which is the nearest to -2\/5? (a) n (b) o (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -157*c**3*q**2 - 5*c**3 - 789*c**2 + 2*q**2 wrt c.\nAnswer: -942*q**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 7. Suppose 31 = -4*h + 11. Let f be z(h). Solve -q + 15 = f*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 986 = -5*d + d, -3*f = 2*d - 505. Let c = -46 + d. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3104.24 + 3049. Let j = 5158 + -5103. Let a = n + j. Sort -0.3, 2\/17, a, 5\/2 in decreasing order.\nAnswer: 5\/2, 2\/17, a, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/3 + 4 + -1. Suppose 0 = k - s - 11, -2*k = -3*s + 5*s - 2. Suppose -u + 3*u - k = 0. Solve -t*h - u*m = 0, 3*h + m = -m - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmrhrmmrummmup. What is prob of picking 1 u and 1 r?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2346?\nAnswer: 2, 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 351 and 1071?\nAnswer: 41769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 1. Let a be c(4). Let g(u) = 1 + 0*u - a*u**2 + 2*u**2 + 4*u. Let t be g(3). Solve 2*k = -2*k + t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 264435*w**6 + 512493*w**2 wrt w.\nAnswer: 31732200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 27 (c) 13\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*h + 46*h + 1232 = -11*h for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 102 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*w + 648*w - 11047 = 10450 for w.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - o**4)*(-5 + 2 + 4) - 7*o**4 - 16*o**4 + 6*o**4 + 55*o**2 - 55*o**2 - o**3 + 3*o**4.\nAnswer: -15*o**4 - o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1168, 1445, 2044, 3109, 4784, 7213, 10540, 14909?\nAnswer: 20464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 968746.\nAnswer: 2, 484373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 47 = -4*y. Let t be (-18)\/y*14\/(-3). Suppose 3*q + n - 2 = 0, t*n - 6 = 5*q + n. Solve -m = 3*c - 7, -2*m - 3*c - 2*c + 11 = q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -23. Suppose 2*w = -0*w + h. Let l(f) = -3*f + f + f - w. Let n(c) = c + 1. Determine 2*l(b) + n(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 19*i**2 - 471*i - 80. What is the remainder when 152 is divided by f(25)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1114361*l**4 - l**3 + 11*l**2 + 33*l - 132666?\nAnswer: -13372332*l**2 - 6*l + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -342, -344, -346?\n\"Answer: -2*z - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38256 + 38672. Calculate the least common multiple of 1456 and x.\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 209*x - 95. Let i be (60\/(-6))\/(-30)*(20 - (-1 - -3)). Let o(h) = 13*h - 6. Determine i*c(m) - 95*o(m).\nAnswer: 19*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4414 is divided by 40.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vyvy when four letters picked without replacement from {v: 6, y: 12}?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.9917 rounded to zero decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 96233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 249*h**2 - 14568*h + 177. Calculate d(-94).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 16*d - 36. Let c be i(18). Suppose c = s + 28 - 1. Let m = -16 - s. Solve 0 = 6*w - m*w + 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**15*n)\/n**7 assuming n is positive.\nAnswer: n**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 133.92 + 154732\nAnswer: 154865.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4524973 smaller than 4524977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16445357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -1. Let m(s) = 2*s + 9. Suppose -5*o + 33 = 3. Let k(v) = o*l(v) + m(v). What is the first derivative of k(b) wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 328 - 1362 = 0. Let u = o + -187. What are the prime factors of u?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, o: 2, f: 2, u: 4, e: 1, l: 2}. What is prob of picking 1 o and 1 y?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5401*r**2 + 1445*r + 67. Let w(c) = 1351*c**2 + 361*c + 16. Let a(x) = -6*f(x) + 25*w(x). What is the second derivative of a(t) wrt t?\nAnswer: 2738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11\/9, 5\/3, -5, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10*(-54)\/45*4\/(-3). Solve -o*m - 36 - 28 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**3\/6 - i**2\/2 - 8*i. Give w(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2 + (-4 + 0 + 2)*(-1 - 3 + 3) - 1 + 1 + 1 + 2 - 2 - 5)*(0*g - 3*g + 0*g) + 21298 + 75*g - 21298 - 2*g + 0*g + 3*g + (g - g - g)*(2 + 0 + 0).\nAnswer: 83*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50568 + 73819. What is the thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, b: 3}. What is prob of picking 1 b and 1 h?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/8*57855\/665 and 173\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -223 + 224. What are the prime factors of (-1462)\/(-5 + 3)*(b - 0)?\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 7 - (6 - 2) - -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 10*v + 7. Let n be c(9). Let b(t) = t**2 + t. Let z be b(n). Suppose 2*d + 6 = 3*y - 11, -5*y - 3*d = -3. Solve 0 = y*p + z*p + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 822 = -9*z, 0 = 23*t - 28*t - 3*z + 999. Calculate the remainder when 5823 is divided by t.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3500093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 80227678 to the power of 1\/3, to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 73, 65, 41, -5, -79, -187, -335?\n\"Answer: -i**3 - 2*i**2 + 5*i + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6135 (base 11) to base 16.\nAnswer: 1fd1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/19 - 1142788*g\/19 - 163245551618\/19.\nAnswer: -2*(g + 285697)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2186*y - 62575*y + 1 - 1.\nAnswer: -60389*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2824.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(-4) + (-151)\/(-4) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*u - 100, -7 = u - 2. Calculate the highest common factor of r and 680.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 62.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1610647 at most as big as -1610646?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -84, -6, -5, 0.2, -0.3 in ascending order.\nAnswer: -84, -6, -5, -0.3, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g. Let x(o) be the second derivative of 0*o**3 + 1\/4*o**4 + 0 + 0*o**2 + 15*o. What is p(x(j))?\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -503*t + 511*t + 56 = 0 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -4926948.\nAnswer: -5\/1642316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 8*w + 4*w + 25, -r + 5*w - 30 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 298019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l - 4. Let r be p(7). Suppose 0 = 5*q - 0*q. Let k = r - q. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -6*w + 15. Solve w*s + 3*t + 19 = 0, 5*s + 4 = -t - 9 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -11. Let p(r) = 3*r**2 + 2*r - 1. Let t be p(-2). Suppose 0 = k*l - t*l. Solve 5*d + 10 = 4*f, -5*d - 4*f + 20 + 10 = l for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111000111000 + 0?\nAnswer: -11111000111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*((-2 - 2*b + 2)*(-2*b**2 + 0*b**2 + 5*b**2) + 1628 - 1628 - 292*b**3 + (3*b + 0*b - 2*b)*(2*b**2 + b**2 - 2*b**2)).\nAnswer: -594*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -22. Let f = -5.6 + j. Let m = -9 + 4. Which is the second smallest value? (a) m (b) -0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + 3*d + 0*d + 1 + d - 1 + (-16 + 23 - 14)*(0*d - d + 0*d).\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -468*z. Let b(w) be the second derivative of w**3\/6 + 93*w + 2. Determine j(b(l)).\nAnswer: -468*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 178 and 12.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1050 and 175?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-3) - 51\/(-9). Solve y + 4*t = -t + 13, k*y - 5*t = 5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16313475 and 1050.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 - 6*k**2 - 12*k - 8.\nAnswer: -(k + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*v - 6*v - 3*q, -2*v = q + 1. Let d be (-1)\/(4\/(-16) - 145\/1276*-11). Suppose -6*x + 2*x - 20 = 0. Sort d, 0, x, v in decreasing order.\nAnswer: v, 0, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -945 + 1228. Calculate the remainder when o is divided by 98.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**(-24)*u**5*u\/(u\/(u\/((u*u**(-6)\/u*u)\/u)*u)) assuming u is positive.\nAnswer: u**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -885131.2 rounded to the nearest 1000?\nAnswer: -885000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 + (-6)\/2 + 6. Let u be -4*4\/(-16)*0. Let x = u + k. Which is the second smallest value? (a) 4 (b) -1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - j + 3. Let x = j + 6. Let f = -7 + x. What is the smallest value in -2\/13, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*f - 195855 = -6975. Does 87 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**5 - 261*d**4 - 513*d**3 - 255*d**2.\nAnswer: -3*d**2*(d + 1)**2*(d + 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-582)\/18)\/(1\/(-29961)*3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 2*t - 1. Suppose 3*w + 3*w = 9*w. Calculate s(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 61*s**2 - 17*s + 15. Let c(q) = 28*q**2 - 9*q + 7. Give -13*c(b) + 6*v(b).\nAnswer: 2*b**2 + 15*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 3*x + 8. Suppose -7*o + 240 = -x*o. Is o a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 2*a - 2*a)*((6 + 0 - 5)*(-a - 3 + 3) - 5*a - 27*a - 27*a + 3*a + 10 - 10).\nAnswer: -114*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.11 + -0.02. Let d(h) = 3*h**3 + 12*h**2 - 2*h - 6. Let v be d(-4). Which is the closest to r? (a) v (b) -0.5 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t**2 - 4*t. Let p(a) = 5*a**2 - 5*a - 1. What is 3*k(u) - 2*p(u)?\nAnswer: 5*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z. Let j(y) = 0*y**2 - 1 - y + 2*y**2 - 3*y**2. Determine -2*h(a) - j(a).\nAnswer: a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 2425 - 2437 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3412672, -3412676, -3412680, -3412684?\n\"Answer: -4*h - 3412668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -754*s + 3696 = -740*s. Calculate the greatest common factor of 336 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - n + 1. Let z be r(1). Let s be 1*(-3)\/z - -2. Let m = 5 + s. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(25\/(-2)))\/(32\/160).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -292, 3\/4, -6\/5, -5\/16 in descending order.\nAnswer: 3\/4, -5\/16, -6\/5, -292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 13 + (-1 - -1) - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - ((2 - 15) + (14 - 17)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -431bae - -3f?\nAnswer: -431b6f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29583.05 meters to nanometers.\nAnswer: 29583050000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**3 - 8*u**2 - 5*u - 3. Let t be g(-5). Let i = t + -50. Which is smaller: 21 or i?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -5*a**4\/12 - 80*a**3\/3 - 875*a**2\/2 + 6250*a\/3 - 90. Find m such that k(m) = 0.\nAnswer: -25, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5062932 equal to -5062927?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240 = -704*p + 752*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j - 19. Let p be m(10). Let t = p + 9. Which is bigger: -3\/22 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 449?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 14*m = -1185. Calculate the remainder when m is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*p**2 - 11*p**2 + 30*p**2 - 10*p**2 + 7*p**2 - 1492*p to f*p + k*p**2 + q and give f.\nAnswer: -1492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - j + 16 = 0, 4*w + 5*j = -w + 5. Let r = w - 3. Suppose -8 = -6*b + r*b. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 - 16. Let v = -10 + d. Let i be (-3)\/6 - 10\/(-4). Solve -i*s = -4*b - 6, 5*b = 2*s - 14 + v for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 108.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*f**4 + 0)*(667 + 44 - 169).\nAnswer: 1626*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -90303 or -90109?\nAnswer: -90303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**4 + 3*b**3 + b**2 = 0. Calculate b.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -910*p - 906*p - 908*p - 917*p - 904*p + 4551*p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 317165.6 years to months.\nAnswer: 3805987.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + 54. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vuggpvgggvpg. Give prob of sequence gpv.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -4, -106, -3.\nAnswer: -106, -4, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.9 - -6. Let w = -0.2 - s. Let v be 1\/2 - 2\/(-8). Put w, v, 5 in increasing order.\nAnswer: w, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -742, -2025, -4164, -7159, -11010, -15717?\n\"Answer: -428*z**2 + z - 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 1 - (-27)\/(-6))*2. Let u be o\/(-6)*72\/(-224). Let k = 0.6 + 1.4. Which is the second smallest value? (a) k (b) -0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 24*s - 5. What is u(-7)?\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1726 + 1725.6. What is the fourth smallest value in 0.072, n, -4, 1\/5, -5?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9414 or 7153?\nAnswer: 9414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 1546470?\nAnswer: 1\/773235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -0.4. Let x = -0.1 - 0.1. Put -4, x, c in descending order.\nAnswer: x, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.203 + 166.203. Let s = j - 48. Let b = s - 118.0057. What is b rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -431, -976, -1883, -3152, -4783, -6776, -9131?\nAnswer: -11848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -178, -197, -220, -247, -278?\n\"Answer: -2*u**2 - 13*u - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 326 + -320. Sort 3, 5, -3, d, 17.\nAnswer: -3, 3, 5, d, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 947351165 to the nearest integer?\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5ead - -47a4?\nAnswer: -1709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*s + s + 13881 = -12898. Solve 447*v = s*v + 64 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (156\/598)\/((-16)\/(-184))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 14526052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4 - (-7 - 0\/2 - 7436\/(-104))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 43. Suppose 3*o = o - r. Let p = -8 - o. What is the lowest common multiple of p and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 846542 to the power of 1\/2, to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 6*i**2 - 9*i + 1. Let l be c(-4). Let p(t) = -7*t + 34. Let m(s) = -13*s + 68. Let h(x) = l*p(x) - 3*m(x). Does 11 divide h(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117685 is divided by 94.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130178, -131326, -133248, -135950, -139438, -143718, -148796, -154678?\nAnswer: -161370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7\/(-5) + 1)*1. Let b = 1.3 + 5.7. Let r = 5 - b. What is the smallest value in -1, r, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -9. Let t be (-4 - 65\/(-15))*4. Which is bigger: t or m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*g**4 + 0*g + 0*g**3 + 0*g**2 + 0.\nAnswer: -2*g**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3605061 is divided by 27731?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2410 take away 1.3?\nAnswer: 2408.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 865*m**2 + 2080*m**2 - 1731*m**2 to i*m**2 + y + b*m and give i.\nAnswer: 1214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 16*w**2 + 332*w - 498. What is x(-26)?\nAnswer: 1686","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((7 - (1 - -2)) + 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2954 - -0.4746. Which is the smallest value? (a) -2\/3 (b) o (c) -0.1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3337597.\nAnswer: 19, 175663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104 and 351?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 0)\/(11 - 3). Let g = -109.66 - -105. Let z = 1.66 + g. Which is the closest to k? (a) 5 (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, v: 1, z: 4, x: 1, o: 1}. What is prob of sequence ov?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x + 1755*x**2 - 5156*x**2 + 0*x + 1638*x**2 - x**3 + 1755*x**2 + 12. Suppose g + 5*o + 8 = 0, -4*g + 4*o - 6 = 26. Determine h(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3047*t - 6. Let g(d) = -d**2. Calculate g(s(u)).\nAnswer: -9284209*u**2 - 36564*u - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 6:17 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 30*l + 2. Let d be x(3). Let j be 28420\/5390 - (-6)\/(-44)*2. Suppose -j*z + 2*t = 111, -3*z + 15 - d = 4*t. Are z and -24 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 7*z**3\/6 - 3*z**2 - 13*z. Let n be u(2). Find the third derivative of 2*g**2 + n*g**3 - 9*g**3 - 8*g**3 wrt g.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8448 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 35*l**2 - 85*l + 49. Calculate the smallest common multiple of 12 and b(-33).\nAnswer: 2028","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.24 (b) -0.1 (c) -2\/9 (d) 1 (e) 11 (f) 0.26 (g) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 154149502?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 286 and 110374?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -634*b - 81806 + 30958 = 1639*b + 155995 for b.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 335733691.6 rounded to the nearest one hundred thousand?\nAnswer: 335700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*o + 5*n = -23, 2*n + 4 = -o. Suppose q + 3 = 0, -o*x + 2*q + 10 = -0*q. Calculate the remainder when x is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 8310.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**3*s - 6*c**3 + 61*c**2*s**3 + 126*c**2 + 96*c*s + 7*c with respect to s.\nAnswer: -2*c**3 + 183*c**2*s**2 + 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6210337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*h = 2*v - 8, 12 = 5*v + 3*h. Calculate the least common multiple of v - (1 - 9) - 224\/56 and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**4\/3 - 544*w**3\/3 + 3160*w**2\/3 + 8512*w\/3 = 0.\nAnswer: -2, 0, 8, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100589 divided by 5.\nAnswer: 100589\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 3*b, -2*q + 5*b = -q - 18. Suppose 33*c - 14*c - 57 = 0. What is the second derivative of -22*t**c - 4*t**2 + 6*t + 8*t**q + 4*t**2 wrt t?\nAnswer: -84*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g - 2*d + 14 = 5*g, -12 = g - 5*d for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -410, -418, -438, -476, -538, -630, -758?\nAnswer: -928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 6*o - 2*o - 44, 0 = b + 4*o - 9. Let q(n) = -n - 5. Let i be q(b). Solve -i*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l*(l*l\/(l*l\/(l*l*l\/l**(-8))))\/l)\/l)\/l)\/(l*l**(-4)))**(2\/95)\/((l*l**(-5)*l**(-1)*l)\/(l*l\/l**(2\/7))**(-4\/11)) assuming l is positive.\nAnswer: l**(26702\/7315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 195441811 to the power of 1\/2, to the nearest integer?\nAnswer: 13980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08075 to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4215 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 49487+382.67\nAnswer: 49869.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(2\/43))\/((q*q*q**1\/q)\/q))\/(((q\/q**21)\/q)\/(q\/(q*q**(2\/19)))) assuming q is positive.\nAnswer: q**(17033\/817)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53352\/3150 + -17 + 1 + 18\/(-21)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by ((-28)\/5)\/(16\/(-40)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.71 + -1.4. Let h = -0.89 - p. Suppose 2*i = 2 - 0. What is the nearest to i in 1\/3, h, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, n: 2, k: 1}. Give prob of picking 1 c and 1 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i + 2*i + 3*i)*(-i + 5*i - 2*i)*(-3*i - 12*i + 3*i) in the form m*i**3 + b*i + s + x*i**2 and give m.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 15*k + 39. Let i(v) = 2*v. Determine i(d(x)).\nAnswer: 30*x + 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11358888678 rounded to five dps?\nAnswer: 0.11359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w = 4*w + 30 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/1707 - 175837\/6828. Let i = -26 - n. What is the second smallest value in 3, -3\/2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/21, 193, 2\/21, -0.5?\nAnswer: 193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408*a - 407*a + 3 = -5*g, 5*a = 4*g + 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.06 + 7. Let q = 3656.1 + -3656.1. Sort 5, q, 4, z in descending order.\nAnswer: 5, 4, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9 and -0.883.\nAnswer: -9.883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30136.\nAnswer: 2, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -46?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002589817 rounded to four decimal places?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 156 and 126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -4. Let i(z) = 6*z**3 - z**2 + z. Let n be i(1). Solve -n*s = -j*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/5 + 1647776*s\/5 + 339395718272\/5.\nAnswer: 2*(s + 411944)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 + 10157220*j + 30471696.\nAnswer: -4*(j - 2539308)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -2\/8117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 106*r + 632. Determine h(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*g - 2*q - 2*q, 0 = 3*q - 12. Suppose -k = g*k. Suppose 2*r**3 + 0 - 2*r + k = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -7. Let g = -0.237 + -115.763. Let c = -113.5 - g. What is the second smallest value in c, 5, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)\/w)**(1\/3)\/(w\/w**(1\/6)*w*w\/w**(-1\/8))*w**(-3)\/(w**6\/w)*w**(-6\/7)*w**2 assuming w is positive.\nAnswer: w**(-587\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13000024 divided by -8.\nAnswer: 1625003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/3 + w**2 - 2*w\/3.\nAnswer: -w*(w - 2)*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -264, 3, -93 in decreasing order.\nAnswer: 3, -93, -264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 3:27 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22212 (base 7) to base 2.\nAnswer: -1010111011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -634 divided by 2?\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*(-780)\/(-40) + (-53352)\/4056.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence akj when three letters picked without replacement from uxaxjukuxxax.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -289 by -15.\nAnswer: 289\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 305241 times 117\nAnswer: 35713197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 268\/5 + -53. Let x(o) be the first derivative of -g*o**5 + 0*o**2 + 0*o**4 + 2 + 0*o + o**3. What is the third derivative of x(c) wrt c?\nAnswer: -72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 5, -983901 in decreasing order.\nAnswer: 5, -25, -983901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 8:05 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 20. Let b be (1 + g)\/(30\/(-15)). Find the third derivative of -6*k**5 - 2*k**5 - 7*k**2 + b*k**2 - 15*k**5 wrt k.\nAnswer: -1380*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqbb when four letters picked without replacement from {b: 9, q: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*z + 12 = 0. Suppose z*w = w. Solve w = -q - q + 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -2, 3 in increasing order.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 1571*b - 834218. Calculate k(531).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-252)\/(-21))\/((-42)\/(-15)))\/((-35)\/(-98))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3277325 and 2200?\nAnswer: 288404600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 9*c + 2 = 0. Suppose p = 3 + 2. Suppose p*i - 2*x - 20 - 3 = 0, -3*i - x + 5 = 0. Put c, 0, i in decreasing order.\nAnswer: i, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3265322293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3753*a**3*n**2*v + 5*a**3*v + 2*a**2*n**2*v - a**2*n**2 + 296*a**2*n + 8*a*n**2*v wrt a.\nAnswer: 22518*n**2*v + 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -223511550 (base 6) to base 5\nAnswer: -2022142144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 6, 2, 0.\nAnswer: 0, 2, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 2:01 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {z: 2, g: 2, i: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 3)*(-16)\/4. Suppose -3 = -b*g + 3*g. Suppose 3*v = m + m - 176, 0 = 4*m - g*v - 346. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 486b (base 14) to base 12\nAnswer: 7393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*c - 5 = 0, -c - 6 = -t - 2. Let f(o) = 2*o**3 - 8*o**2 + 4*o - 2. What is the remainder when f(t) is divided by 60\/(12\/4) - -3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*20\/(10\/5). What is the highest common divisor of j and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**5\/20 + a**4\/2 + 2*a**3 + 5*a**2\/2 - a. Let n(h) be the first derivative of z(h). Let n(b) = 0. Calculate b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -191461 or -191463?\nAnswer: -191463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0 + 0 + 0 - 1 + (0 - 2 + 1)*(4 + 1 - 3))*(0*m**4 + 3278 - 3271 - m**4) + 13*m**4 + 2*m**4 + 5*m**4.\nAnswer: 21*m**4 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*v + 7 - 24*v - 27*v - 5*v in the form r*v + o and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 37*n**2 - 66*n + 147. Let m be p(-35). Solve -3*q + 4*q = -i + m, -5*q + 15 = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 28*k. Let d(z) = -3851*z**2. Calculate d(q(c)).\nAnswer: -3019184*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*f + 29*f + 49*f)*(0*f + 0*f - 2*f) + f**2 + 2*f**2 + 0*f**2.\nAnswer: -133*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 96\/45 + 0 + -2\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 106 and 63245165.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 872 - 876. Let q(d) = d**3 + 3*d**2 - d - 5. Determine q(r).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 48*u - f - 61428 + 61383, 2*f = -3*u + 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 4*y**2 - 2*y + 5. Let r be -6*-1*(-3)\/(-6). Let b be l(r). Let s = b - -30. What is the lowest common multiple of 12 and s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -22. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19637, -39289, -58953, -78629, -98317, -118017, -137729?\nAnswer: -157453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 280 = -3*b + 4*z, 0 = 4*b + z - 367. Suppose -m - 3*s = m - b, -138 = -3*m - 4*s. List the prime factors of m.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -3*v - 2 + 11, -2*v = 5*n - 20. Solve n*s = -5*j + 4*s + 2, 5*s - 30 = -5*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43494341467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -763*z + 988*z = -7200 for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -318 + 318. Let l(w) = w + 5. Let y be 11 - 13 - (-2 + 0 - -4). Let x be l(y). Sort x, 5, 10, b in ascending order.\nAnswer: b, x, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28530 divided by -14265.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 142*v - 925. Determine i(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/14*-2*(-275)\/((-15400)\/336)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255*c**3 + 1625*c**3 - 264*c**3 - 370*c**3 - 256*c**3 - 232*c**3 - 249*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -38859 - 242653. What are the prime factors of z?\nAnswer: 2, 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 11*u**2 + 82*u + 556. Give i(-13).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 = -5*a + 80*v, 4913*a - 4909*a + 30 = 3*v for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4575121*w*z - 2*w + 6*z**2 + 83284723 wrt z.\nAnswer: 4575121*w + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13999\/6 - 2333. Which is smaller: 11\/31 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1762194 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: Solve 22 = 3*t - 5*b, -3*t = -3*b - 0*b - 12 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1859.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 - -63. Let h = 0.18 - -0.02. Suppose 5*w - 2 = -4*t + 2, -5*w + t + 24 = 0. Sort w, h, g in descending order.\nAnswer: w, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 5*h + 46. Let m be t(8). Let c = 46 + -32. What is the highest common factor of c and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129420 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 - 0.64. Let u = -0.8 - t. Let d = 0 + -0.1. Which is the third biggest value? (a) -3\/4 (b) u (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53.42 - 4.79.\nAnswer: -58.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 167 - 1?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 6:42 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18245 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 8. Is 1 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/10*1020\/255.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 51 = -h, 0 = -3*h - 0 + 3. Let y be ((-20)\/(-25))\/(4\/v). Solve -6 = y*r, -g - 2 = -2*r - 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 0.2 (b) -0.03 (c) 0 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 40\/(-15) - (-8)\/(-6). Sort -3, x, 4 in ascending order.\nAnswer: x, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65581921163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 8:13 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13126, -13185, -13238, -13285?\nAnswer: -13326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25501385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5107273 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c7656 (base 15) to base 16.\nAnswer: -9a6ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 - 3*a + 1. Let k be w(3). Suppose 0 = -0*x + 2*x + k. Suppose 0 = 4*s + h - 18, 5*h = 5*s - 28 - 7. Put x, s, -3 in decreasing order.\nAnswer: s, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**3 + 3*j**2 + 200*j + 3759. Determine q(-10).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 3*f + 2*g, -f - 14*g + 15*g = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 11*n**2 + 6*n + 5. Is u(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -1725?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5*i = 105, -2*i - 15 = -b + 3*i. Let d = 616547 + -616448. What is the remainder when d is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 21627 - 211961 = -4*z, 5*b - 47593 = -z. Suppose 10*s - 32927 = z. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4860 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-408)\/66 - -6 - 842\/(-33). Let f = 26 - v. Suppose -m + 0 = -5. Which is the nearest to 6? (a) -3 (b) f (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62 - -62. Solve -v + 0*w = w - 2, -2*w + 2 = k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49206.6235864852588714 + -448024142527.6235868242588714. Let h = -448024093513 - k. Let j = 192 + h. Round j to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5*m**2 - 7*m. Let t(u) = -16*u. Give s(t(i)).\nAnswer: -1280*i**2 + 112*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1098043469?\nAnswer: 47, 163, 143329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1027 and 440141?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5071823353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -177 + 177. Let u = -3 - -7. Let j = 2\/11 - -1\/55. Which is the second biggest value? (a) v (b) j (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a + 11*a - 4*a + 5*a**3 - 7 - 4*a**2 - 2*a. Is 49 a factor of z(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + -5 - (-1 - 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 4)*(3*g**5 - 2*g**5 + g**5) + 5*g**5 + 0*g**5 - 6*g**5.\nAnswer: 3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.3 + 7. Let k = i + -0.62. Round k to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f - 4. Let s be v(4). Suppose 4 = -6*x + s. Suppose 4*u + 0*u = -4*n, -28 = -x*n + 5*u. Solve -3*g = 2*b - 2, 5*g + 0*b - n*b = 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6221 (base 10) to base 5.\nAnswer: 144341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - 3*s + 5*s)*(5*s - 4*s - 3*s)*(-75*s + 142*s - 21*s).\nAnswer: 92*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/110*-2)\/2*45\/4.\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 195*g. Let q(d) = 88*d**2. Give o(q(n)).\nAnswer: 17160*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4 = -5. Let d(k) = -2*k - 12. What is the units digit of d(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ljljslss. What is prob of picking 3 l and 1 s?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evkeeekeevehvk. What is prob of sequence he?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 550345 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -14295234\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 38, 113, 234, 407, 638?\n\"Answer: r**3 + 17*r**2 + 17*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o - 7. Let t be y(13). Let l = -61 - -103. What is the highest common factor of t and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100128 and 402?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from fkfwkwkwwwfkkkkfew.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 1.99846. Round i to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.872 - 5.792. What is the closest to x in 2, -3, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61746 - 8605. Is 34 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*1\/(-3)*117\/(-65)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48) + sqrt(144)\/sqrt(3) + 0 + sqrt(48).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/2 of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 61 (base 7) to base 8\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 9292374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.54 + 12.04. What is the third biggest value in -8\/7, -7, c?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*l + 132*l - 3612 = 76*l for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -b + 45, -3*b - b + 3*m + 44 = 0. What is the biggest value in -4, b, -77\/45?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5721*f**3*k**3 - 4*f**3*k - 1709*f**3 + f**2*k**3 + f*k**3 + 2*k**2 wrt k?\nAnswer: 34326*f**3 + 6*f**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006521 rounded to seven decimal places?\nAnswer: 0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m - 52. Calculate x(58).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 3\/152 (b) -1 (c) -3 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1389 + -603. Suppose i - q - 261 = 0, 2*i + 4*q = 5*i - z. Suppose 2*x = -5*n + i, 0 = -3*n - 9 - 3. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16226 + -13?\nAnswer: 16213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-4)*(-3)\/24.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3587514, -3587491, -3587438, -3587343, -3587194, -3586979, -3586686, -3586303?\n\"Answer: 2*s**3 + 3*s**2 - 3587519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -30*o. Let g be s(-1). Suppose 0 = k - 3*k + g. Suppose 5*l + b = 152, 2*b = 4*l + 6*b - 128. What is the greatest common factor of l and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.764805 centuries to millennia.\nAnswer: 0.3764805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1337731*a**3 + a**2 + 3884224.\nAnswer: -4013193*a**2 + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1347, -2\/9, 2 in decreasing order.\nAnswer: 2, -2\/9, -1347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4\/7 (b) 0.161 (c) -7.7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxd when three letters picked without replacement from tmxdxxttdttutdu?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -24172, -48588, -73004, -97420?\n\"Answer: -24416*k + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.02 + 6. Let i = r - 0.98. Let z = 0.7 + -0.2. Which is the second smallest value? (a) i (b) -1\/2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 203 - -117?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3406259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*p - 95*p = 36. Which is the closest to -2\/3? (a) 2\/5 (b) -11 (c) p (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.2 (b) -136 (c) 5 (d) -150 (e) 0.5 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, y: 4}. What is prob of picking 4 y?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 309058.99.\nAnswer: 927176.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 3, 12, 21, 30?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1301, 2573, 3867, 5195, 6569, 8001, 9503, 11087?\n\"Answer: 2*h**3 - h**2 + 1261*h + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 - -67. Suppose -n*m + 444 = -74. What is the remainder when m is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41534 is divided by 441?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 13*x**2 + x. Let z be a(-1). Suppose w + w - 2*g = 0, 4 = -4*w + 5*g. Suppose -w*j = -7*j + z. Is j less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*z = 2716, 4*f - 2*z = -385 + 2553. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + d + 5. Let a be y(4). Suppose v - a = -4*v. What is the remainder when (18\/6)\/1 - (-1 + -4) is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2 = -n. Let w(h) = 5*h - h**2 + 0*h**2 + n*h**2 + 7 - 2*h. Does 3 divide w(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -77, -185, -373, -647, -1013, -1477?\n\"Answer: -y**3 - 34*y**2 + y - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - s + 10. Let k be 12*(4 - (-39)\/(-9)). Let g = -4 - k. What is q(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -1\/3, -2\/9, 1, 4\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 + 13*h - 17. Let n be j(-12). What is the highest common divisor of n and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.3 (b) -5 (c) 5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 4*k + 47. Let j be t(-5). Suppose 0 = -j*g + 41 - 21. Let h(q) = q**3 - 9*q**2 - 10*q + 2. Give h(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 10 = 15. Let r(a) = -2*a**2 - 2*a + 4. Let y(i) = -i - 1. Let h(v) = v + 2. Let w(o) = -2*h(o) - 3*y(o). Let d(j) = m*w(j) - r(j). Factor d(f).\nAnswer: (f - 1)*(2*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 36, 471, 1880, 4827, 9876?\n\"Answer: 94*c**3 - 77*c**2 + 8*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ecp when three letters picked without replacement from ajspcep.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -10\/553, -21 in descending order.\nAnswer: -10\/553, -2\/5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -57?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 850 by -33.\nAnswer: -850\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -208614 by 1.\nAnswer: -208614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2135 is divided by 423.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44*-12*(-26)\/13728*(-2)\/18?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10111000 (base 2) to base 4\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12331 (base 4) to base 15.\nAnswer: 1ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v - v + 3*v + 1 + 16. Let u be n(13). Factor 15*p**3 + 0*p**3 - p**2 + 0*p**3 + 12*p**5 + 24*p**u + 4*p**2.\nAnswer: 3*p**2*(p + 1)*(2*p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5461 is divided by 189.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 24*f - 648. Let a be h(30). What is the greatest common divisor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -5*r + 95907 - 7261, 3*r = 3*o + 53178. What is the thousands digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2279070 and 10?\nAnswer: 2279070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 8 = -2*d - 2*h, -3*h = -6. Solve 3*p + 4*j + 17 = 9*j, d = -2*p + j - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -7. Let q be r\/(-24) - (-46)\/8. What are the prime factors of (2 + (-15)\/q)*-34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 931664924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*-2*(-5*(1 + sqrt(208)) - (sqrt(208) - (sqrt(208) + 2 + sqrt(208) + -2))**2)*4.\nAnswer: -6816 - 640*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -225.1781 to 1 dp.\nAnswer: -225.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9964995s in hours?\nAnswer: 0.00111013875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 967 - 987.98. Let n = 12.55 + l. Round n to one decimal place.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -143*h**2 + 52*h + 1. Let v(w) = 2*w. Give v(i(s)).\nAnswer: -286*s**2 + 104*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*p + 2*p - 2*p)*(-1 + 0 + 0) + 4*p - 4*p + 2*p.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 6 - (-5 + 1 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -3511 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/108)\/((-195)\/208).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/7 and (-39)\/52*312\/99.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 666253 + -13988287\/21. Let s = q + -144. Is 1 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/8 of a century in months?\nAnswer: 7650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39823387 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: Find the second derivative of -3*p**4 + 444813*p**2 + 722166*p.\nAnswer: -36*p**2 + 889626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8325301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*h + 4*l, -l = 4*h - h - 9. Let d = -2 + h. Differentiate -5*y**d + 5*y**2 - 2 + 0 + 3*y**3 wrt y.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 7*b**3 + 12*b**2 + 7*b - 31. Give c(-2).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, x: 6, p: 2, a: 3, n: 1, s: 3}. What is prob of picking 2 p?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1553.6588372 + 0.0061628. Let v = i - 1558. Let a = -0.215 - v. Round a to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = t + 194, -27*c + 94 = -29*c + t. Put -2, 3, c, 2 in decreasing order.\nAnswer: 3, 2, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqrqjqqrqrqqiqqjikq. Give prob of sequence iqi.\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(6\/3 + 1). Sort h, 1, 5 in decreasing order.\nAnswer: 5, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5513808 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 352821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*l = -4942 - 5743 - 9940. Is l less than or equal to 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + -3 - (-6)\/2. Let p(h) = -47*h**2 - 2*h - 4. Let l be p(b). Let q be (-4)\/(-6) - l\/3. What is q rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1434*f + 13313*f + 5364*f.\nAnswer: 17243*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13157788 not equal to 13157788?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) 3\/257 (b) -3\/23 (c) 0.5 (d) 0.05 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**6\/480 + 3*q**5\/80 + 9*q**4\/32 - q**3\/2 + 2*q**2. Let h(o) be the first derivative of b(o). Suppose h(d) = 0. Calculate d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -125 + 133. Suppose m*q = -40 - 40. Which is the nearest to 1? (a) 4 (b) 5\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.18, -1, -13, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 422804.1402684 - 1.2.\nAnswer: 422802.9402684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p = -p + 4*h - 16, 3*p - 15 = 3*h for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -392636 > 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**2 - 5*d**2 + 0*d**2 + (-3 + 2*d + 3)*(-3 + 3 + 2*d) + 7*d**2 + 5 - 5.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/416 and -49\/312.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175710.\nAnswer: 2, 3, 5, 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 119621 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -2. Suppose m*h - 18 = -3. Suppose -8 + 58 = h*i. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.77 - 0.03. Let y = u - -0.3. Let i be -5*(-12)\/(-15)*1. Sort 0.1, i, y in descending order.\nAnswer: 0.1, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -10. Let c = 7 + x. Suppose -3*d - 4 - 2 = 0, 3*d = -c*v - 1470006. What is v rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b - 22*b = -144. Let j = b + -29. Does 43 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h - 5. Let l(n) = -3*n + 6. Let x(y) = 4*l(y) + 5*m(y). Let b(g) = -4*g + 2. Give 4*b(p) + 5*x(p).\nAnswer: -p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 3*q**5\/5 - 7*q**2 - 30. Find the second derivative of o(n) wrt n.\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 192*v**2 - 160*v - 7. Let p(g) = 128*g**2 - 107*g - 5. Let d(r) = 7*p(r) - 5*x(r). Find the second derivative of d(s) wrt s.\nAnswer: -128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -r - 707, 0 = 5*c + r - 494 - 209. Is c a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**3 + p**2 - 4*p + 3. Suppose -4 - 6 = -5*h. Let y be k(h). Let z = y - 47\/2. Which is the biggest value? (a) z (b) -2\/9 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -551*v + 717*v = -498 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -606.76751 rounded to 0 decimal places?\nAnswer: -607","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -570 + 1193. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 0 (b) -1 (c) 4 (d) -3\/8 (e) -0.025\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y - 1. Let x be s(-3). Suppose -7 = x*t - 3*t. Suppose -4*m = -82 + 30. What is the remainder when m is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 12482654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 17 + 28 + 78 + 0 - 29 + 6.\nAnswer: l + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**2\/5 - 12*s\/5 - 54\/5 = 0?\nAnswer: -3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-87)\/3)\/((-2224)\/(-6672)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(10)\/sqrt(2))**2*4 + sqrt(50)\/(sqrt(40)\/sqrt(4))).\nAnswer: -80 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 92*a**3 + 7*a**2 + 7*a + 95. Let k(y) = -45*y**3 - 4*y**2 - 4*y - 47. Determine -7*k(z) - 4*u(z).\nAnswer: -53*z**3 - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36458 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0.8, 3\/8 in descending order.\nAnswer: 0.8, 3\/8, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 4*c**2 + 4*c - 7. Let t be (-1)\/3 + 7 + 125\/15. Suppose 25 = t*q - 20*q. Give m(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -8. Let t(n) = -n**2 + 2*n - 2. Let p(r) = r**2 - 3*r + 3. Let q(o) = m*p(o) + 5*t(o). Let g = -57 - -58. What is q(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n**3 + 8*n**2 + 4*n - 7. Let t be r(8). Is (-2)\/(6046\/t - -4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -47c3?\nAnswer: -47c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -13 and -3\/47 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from pppwwppppppppppppww.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + 27 + -37 + -1 + -38?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 + 24 + 52 - 76 + 2*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**5\/20 + m**4\/3 - m**3 - 5*m**2\/2 + 5*m. Determine i(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/14 (b) -1\/16 (c) 0.03 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z - 12*z - 10*z)*(2*z**3 + 0*z**3 + 0*z - 2*z) to y + c*z**4 + x*z**3 + p*z + r*z**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 0)\/((0 + -3)\/15). Let z(l) = l**3 + l**2 - l + 4. Let t be z(0). Let j = -2 - -3. Put v, j, t in ascending order.\nAnswer: v, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1743, 158, -2, 0.4, -3, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 399530933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, p: 5, g: 1, h: 3, w: 5, y: 1}. What is prob of sequence hwy?\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 4776.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 10*w**2. Let n(m) = -8*m. Calculate n(a(j)).\nAnswer: -80*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 324*x + 3. Let y be u(1). Let f = y - 327. Solve -i - 4 + 0 = f for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12409 = -352*r - 2201 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 4*j - 4*j**3)*(3*j + 2 - j - 6*j) + (3*j - 4*j + 3*j)*(-19*j + 7*j**2 + 19*j)*(j - 3*j + j).\nAnswer: 2*j**4 - 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -470769, -941540, -1412311, -1883082?\nAnswer: -2353853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1263, -2598, -3933?\n\"Answer: -1335*l + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 33*x + 178. Let b be y(-5). Suppose 5*j - b*j = 176. Is j <= -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 - 26512*r + 43930384.\nAnswer: 4*(r - 3314)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2075247*c**4 - 796*c + 1052 wrt c?\nAnswer: -24902964*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 85*s**2 + 0*s + 0 + 37\/2*s**3 + 73\/24*s**4. Differentiate o(w) with respect to w.\nAnswer: 73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -75092*y + 4022. Let w be m(-4). What is w rounded to the nearest one thousand?\nAnswer: 304000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71968.6t in grams?\nAnswer: 71968600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*i**2 + 18 - 2 - 2 + 110*i**2.\nAnswer: -i**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37218 - 74396 + 37178 - 4*k**2 + 65*k + 2*k**2.\nAnswer: -2*k**2 + 65*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2829651 - 28032434. Let b = 1562508 - p. Let x = b + -13034925. What is x rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 122*l**3 + 58*l**3 + 2 + 65*l**3 - 407*l**3.\nAnswer: -162*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.970827 rounded to 3 dps?\nAnswer: 2.971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*x + 36 + 36 - 96 + 24.\nAnswer: -25*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*b + 305*b - 7005 - 11865 = 0 for b.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2113200 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a tonne in kilograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3315.91 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 32, 210, 514, 950, 1524, 2242, 3110?\n\"Answer: f**3 + 57*f**2 - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 860 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 544, 229, -294, -1025, -1964, -3111, -4466?\nAnswer: -6029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 - 63. Let x = p - -35. Suppose q - 6 - x = 0. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*x**3 + 1 + 13*x**3 - 57*x**4 + 1214*x**2 + 9*x**4 - 422*x**2 wrt x?\nAnswer: -1152*x + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.54 and -16.\nAnswer: 24.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 4*i - 1. Let w(m) be the first derivative of m - 39. Let u(r) = -c(r) - 3*w(r). Determine u(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84200.\nAnswer: 2, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*(sqrt(170) + -2*sqrt(170) + sqrt(170)) + sqrt(170) + sqrt(170) + (-2*sqrt(170)*2 + sqrt(170) - sqrt(170) - sqrt(170)))\/(-1*1*sqrt(10)*2) + -5.\nAnswer: -10 + 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1100))*4.\nAnswer: -4 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 31 = 5*o, -9*v - o - 90 = -77 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -86 + -1a257?\nAnswer: -1a321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1606 + -777?\nAnswer: -2605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2 + sqrt(175) + sqrt(175) + sqrt(175) + sqrt(175))**2.\nAnswer: 120*sqrt(7) + 2809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10222 + -22?\nAnswer: 10200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**2. Let g(q) = 43542*q. Give g(p(l)).\nAnswer: 174168*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 22 = -2*x, -4*x + 0 = 2*f - 4. Suppose 3*o = f*o - 6. Let m be (96\/9)\/(o\/(-135)). Round m to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(5) + -5 + 0.\nAnswer: -5 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326486 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/2 of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 - 441*s + 46 + 134*s.\nAnswer: -307*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**3\/9 + 142*y**2\/9 - 136*y\/3 = 0. Calculate y.\nAnswer: 0, 3, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c8d (base 15) in base 13?\nAnswer: 4492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313 = 2*j + 2*q - 247, -2*q - 825 = -3*j. What are the prime factors of j?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1 + sqrt(1216) + 0)**2 + -4 + (sqrt(1216)*-3)**2)*3.\nAnswer: 48*sqrt(19) + 36456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxxxzxzzxxzz. What is prob of sequence xz?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h - 2 + 2 + (-h + 3 - 3)*(4 + 0 - 6) - 4*h + 5*h + 0*h + 3*h - h - h + 5 + 10*h - 5 to the form k*h + o and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -616 times 1058\nAnswer: -651728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 10 = -2*b - m, 0 = 3*b - 2*m + 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 15, -0.08032, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -6*b**2 - 7. Let q(k) = 12*k**2 + 13. Let o(r) = -5*h(r) - 3*q(r). Let y(v) be the first derivative of o(v). Let t(i) = -2*i**2. Determine t(y(g)).\nAnswer: -288*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99 + 2 - (-4 - (-8 - 5 - (10 - 6))).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 4:25 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - -16. Let l = a + 15. What is the highest common factor of 28 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (9 - -3 - 1) - -18.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 340.5 + -342.5. Which is the smallest value? (a) x (b) 20 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543707206 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 235495 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8558a + 1?\nAnswer: 8558b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 3 - 9. Suppose -s*i = -i - 8. Suppose i*z - 24 = 2*z. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1707 and -8884.7.\nAnswer: -10591.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (4 - (-10 - -6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 446*l**5 - l**4 + 6*l**2 + 63*l?\nAnswer: 26760*l**2 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**8*a*a**(-15)*a**(9\/8)*a**(-21) assuming a is positive.\nAnswer: a**(-207\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*s = 10, s = 3*u - s - 10. What is the second derivative of -8*t**4 - 9*t**4 + 0*t + 6*t + u*t**4 wrt t?\nAnswer: -204*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*b**2*r**3 + 8*b**2 - 39*b - 12*r**2 wrt r.\nAnswer: 54*b**2*r**2 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 11, p: 3}. Give prob of sequence rrr.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 44 - -93 - 33?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20560\/(-1542))\/(21\/42).\nAnswer: -80\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -587 (base 14) in base 4?\nAnswer: -101023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 - (0 - (4 + -5)). Let r be (u*1 + 2)\/(3\/(-2)). Let i = -0.5 - 2.5. Which is the closest to 1? (a) i (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 126 and 0.2.\nAnswer: 25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s - 55*s**3 + 3*s - 236*s**3 - 4*s - 927*s**3.\nAnswer: -1218*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**3 - 5*z**3 - 4*z**3)*(z - 3*z + 3*z) + 0*z**3 + z**4 + 0*z**3.\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3)*v*v\/(v*v*v**(2\/59))*v\/((v\/(v**(1\/7)\/v))\/v)*v*v*v**(-8) assuming v is positive.\nAnswer: v**(-3672\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95 - (1\/3)\/(8\/24)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-76)\/570 + (-50558)\/(-15)*4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -121*r**2 - 1086*r**2 - 767*r**2 - 4*r + 2*r**2 + 4*r + (3*r - 2*r + 0*r)*(-2*r - 3*r + 4*r) + 3*r**2 + 0*r**2 - r**2.\nAnswer: -1971*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*h = -145*h + 248 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i. Let p(v) = -2*v + 1. Let d(s) = -8*s**2 - 48*s + 24. Let f(m) = 2*d(m) - 48*p(m). What is f(n(z))?\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(-42) - (-362)\/(-12). Find the common denominator of 881\/l + 8\/(-60) and -31\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1682\/119835 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t - 18*t - 18 = 0. Suppose 19 = m - d, -t*d + 3 = 2*m - 40. Solve 4*q + m = 0, 2*k + 0 = -5*q - 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4115 + 4115.03167. Let y = -0.029 + m. Round y to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 10 - 78 = 0. Let q(o) = -9*o**3 - 11*o**2 - 64. Let n(y) = 5*y**3 + 6*y**2 + 32. Determine w*n(x) - 6*q(x).\nAnswer: -x**3 + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65\/114 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000010012 + -20?\nAnswer: 1000002222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 5*g**4\/12 - 5*g**3\/6 + g**2\/2 - g - 122. Let j(b) = -11*b**2 + 11*b - 1. Calculate -2*j(o) - 5*v(o).\nAnswer: -3*o**2 + 3*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*1\/2 - -1. Let g(s) = -5 + s + d*s + 1. Determine g(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -408004173 bigger than -408004171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 68\nAnswer: 6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 9*h**2 - 1. Let j be m(1). Suppose -j - 5 = -o. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7 - (0 - (-2 - -3)). Let j(u) = 7*u**3 + 7*u**2 + 5*u - 3. Let f(l) = -3*l**3 - 4*l**2 - 2*l + 1. Let q(o) = -5*f(o) - 2*j(o). Determine q(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28775802 to the nearest integer?\nAnswer: 5364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21759*m + m**2 + 21759*m.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -212230 - 689976. Let s = l - -256206. Round s to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62507867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/20764407 - 12617838247\/2699372910. Let h = z - -33\/65. Find the common denominator of h and 107\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6)*96\/208.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + (13 - -1) + 1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-3) - ((-342)\/27)\/19\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.1, 3, 7, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**2 + 11*i - 1. Let g be x(3). Solve 5*l = -g*b - 7 - 8, -4*b = 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46012, 92096, 138208, 184360, 230564, 276832?\nAnswer: 323176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d1 - 71?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 588894*v - 589010*v = -6960 for v.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 608*p - 140*p - 829 + 8507 = -230*p for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 24 = 3*f, 0 = -2*v - 2 - 4. Suppose -4*o - f = -5*o. Solve 4*w = -3*n + 7, -8 = -o*w - n - 3*n for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 51.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i**3 + 60*i**2 + 54*i - 398. What is d(-3)?\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-240)\/(-12)*(-2)\/(-10) - 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzk when three letters picked without replacement from ukukzkknlkkkuyuk.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 0 + 10*j**2 + 0*j**3 + 0*j**4 + 0*j - 1\/45*j**5 - 1\/180*j**6. Factor m(d).\nAnswer: -2*d**2*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14 + 8)\/(1 + (-4 - -2)). Suppose -4*u = -q*u + 630. What is the tens digit of (u\/(-5))\/(-2 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.5 + -1.6. Let v = 28.1 + m. Let p = v - 28.8. What is the nearest to p in -1\/6, -1\/3, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55203\/508 less than 110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63 + -8. Suppose -5 = 3*t - n, 0*t - 3*t = 5*n - 7. Let x be (-3)\/(-3*t\/(-22)). Calculate the highest common divisor of c and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247259?\nAnswer: 247259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l + 10*l - 204. Calculate the remainder when 356 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -114*o + 197. Let q(u) = 34*u - 66. Let y(z) = 10*q(z) + 3*r(z). Let i(x) = -x - 34. Give -5*i(n) + 3*y(n).\nAnswer: -n - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**2*u**(-6)*u*u*u)\/(u**4)**30)**13)**(2\/45) assuming u is positive.\nAnswer: u**(-3146\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**5\/60 + o**4\/8 + 2*o**3\/3 - 44*o**2 - 14*o + 5. Let l(d) be the first derivative of m(d). Determine l(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3315*o**3*u**4 + 237*o**3*u - 3*o**2*u + u**4 wrt u.\nAnswer: -39780*o**3*u**2 + 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200264 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -1\/4, -4, 2\/57, 2\/23?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 216 = -4*g + 2*j, -5*g = 3*j - 281. Let u = g + -18. Suppose -5*a = -13 - u. Solve -3*x + 6*x + 2*m = -5, 2*x = -3*m - a for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 8:42 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**7\/840 + o**6\/160 - o**5\/240 - o**4\/32 + 23*o**2. Find n, given that t(n) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 345782 - 93361313\/270. Calculate the common denominator of 19\/1080 and q.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 90180*z**2 - 4*z. Let k(l) = l + 9. Calculate k(w(m)).\nAnswer: 90180*m**2 - 4*m + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 12*c. Let v(n) = n. Let z be (-1 - 0)\/(3\/(-6)). Give z*w(o) - 20*v(o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vavhywyaavah. Give prob of sequence yhwy.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1375*p**5 - 12*p + 8?\nAnswer: -27500*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4 = 2*p - 1, -3*u + 5*p = -14. Calculate the remainder when 102 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.026 and 368036041.\nAnswer: 368036041.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -168, 5, -0.1, -2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 36*g + 24. Let d(v) = -9*v - 6. Let n(f) = 9*d(f) + 2*l(f). Is n(-4) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 4 = 5*o + 144, 1117*o + 123 = 3*m + 1113*o for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -28512*-30644\nAnswer: 873721728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24206313 to the power of 1\/2, to the nearest integer?\nAnswer: 4920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - ((-3 - 8) + 8) - -14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 + 44. Suppose -4*p = -16, -5*v - p + 6*p + 480 = 0. Suppose 5*r = v - 10. Sort 4, z, r in descending order.\nAnswer: r, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -3.5. Let v = 1.2 - c. Let a = 0.3 + v. What is the second smallest value in 1, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1346\/103483 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3\/6 - 47125*d**2\/6 + 47066615*d\/6 - 4154516965\/2.\nAnswer: 5*(d - 8331)*(d - 547)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 + 4*s**2 - s + 6*s**3 + 2*s**4 + 0*s**2 - 2*s**2 - 1 in the form r*s**4 + p*s**3 + x + q*s**2 + u*s and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 453.\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2056 - -2662. What are the prime factors of k?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -23006\/55 and -419 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -19*p**3 - 131*p**2 + 18*p + 3. Calculate v(-7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 76 - 72.05. Let d = 1.2 + -1.25. Let j = m - d. Which is the smallest value? (a) j (b) 0.02 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4420 - 4380. What is the remainder when 42 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-10 + 3 - -13) + (57 + -3 - -11)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h - 1. Suppose 3*f = -7*k + 6*k - 270, 4*f = -5*k - 360. Let c = f + 91. Let n(u) = -6*u - 10. Let t(j) = c*n(j) - 4*r(j). What is t(6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(-3) - 1239184\/(-246)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 26*t**2 - 119*t + 10. Give q(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a kilogram in grams?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 539*n**2 + 539. Let w(u) = -11*u**2 - 11. Let z(y) = 2*p(y) + 99*w(y). What is the derivative of z(o) wrt o?\nAnswer: -22*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 27*w + 28. Let o(u) = -6*u - 6. Let h(x) = 5*o(x) + q(x). Let c(k) = 3*k + 3. Calculate -4*c(l) - 3*h(l).\nAnswer: -3*l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4 - -12*1\/6*21?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**5\/3 + 862*t**4\/3 - 62491*t**3 + 245388*t**2 = 0. What is t?\nAnswer: 0, 4, 429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - -2 - (-1 + (-1 - 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -5*i**3\/6 - i**2\/2 - i. Let s be y(-2). Solve 5*z + 11 + s = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 134290*h - 1744925.\nAnswer: -5*(h + 13)*(h + 26845)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20*o**4*r**3 - o**3*r**3 - 12*r**3 + 29*r wrt o?\nAnswer: 80*o**3*r**3 - 3*o**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 503495.\nAnswer: 5, 100699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuukuuuuuubuuubb. Give prob of picking 1 k and 1 b.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 521192 is divided by 12712?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a day?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 378\/5*r + 76*r**2 + 2\/5*r**3.\nAnswer: 2*r*(r + 1)*(r + 189)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbubbuubbbbbububb. Give prob of sequence bbuu.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.4, 1, 817, -2\/15, -1\/3, -4.7, -1\/4?\nAnswer: 817","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 876607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110110110100 (base 3) to base 13.\nAnswer: 87846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/36 + (-4)\/(-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/305656 and 97\/188096.\nAnswer: 2445248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/5 + 14840206*u\/5 + 29680408\/5.\nAnswer: (u + 2)*(u + 14840204)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 15926*a**3 - a + 1. Let n(w) = -w**3 - 2*w**2 + 3*w + 3. Let l be n(-3). Let y be o(l). Round y to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.8 - 20.58. Round i to 0 decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 8*x - 6. Let c be v(-6). Suppose -c = -3*k + 3. List the prime factors of k*(-8)\/(-12) - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22361, 44471, 66103, 87017, 106973, 125731, 143051, 158693?\nAnswer: 172417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -a - 2*a**2 + 3*a - 2*a as v*a + r*a**2 + o and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4019 = 5*d - 4776. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (66 - 141 - 129)*(0*r - 6*r + 0*r) - 3 + 3 + r as m + s*r and give s.\nAnswer: 1225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-1 + 0)) + (32 - 5) + -14\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 6*r + 2. Let x(y) = 51*y**2 - 16*y + 32. Let g(u) = -17*u**2 + 6*u - 12. Let l(w) = 8*g(w) + 3*x(w). What is l(b(p))?\nAnswer: 612*p**2 + 408*p + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 14*v**2 - 14*v - 9. Let b be u(-13). Differentiate -5 + 4*t**2 - 5*t**2 + b - 1 with respect to t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 3*s + 51. Let o be y(0). Let v = -45 + o. Let k(c) = -c**3 - 3*c**2 + c + 4. Let l be k(-3). Is v equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2343.73 + -2345. Which is the closest to 2\/7? (a) 1 (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/7, 4886, 5.\nAnswer: -6\/7, 5, 4886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113 - 787 = -3657*m + 3621*m for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/25 of a day in seconds?\nAnswer: 31104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/12? (a) 56 (b) 613 (c) -1.6 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z - 9*z - 8*z)*(-4 + 2 + 4)*(-2 - 3 + 6)*(-8*z + 42*z + 35*z) in the form u*z**2 + p + t*z and give u.\nAnswer: -2622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65401 is divided by 442.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -4*p - 35 + 10, -2*f + p + 7 = 0. Let m(n) = -7*n - 1. Let g be m(f). Let a(j) = j**2 + 6*j - 8. Let b be a(-6). Is g < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.315 to two decimal places.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -24504 (b) 2\/9 (c) 0.7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 289619 and 2097?\nAnswer: 2606571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 15 = -8*s. Suppose -s = -u + 1. Suppose 0 = 3*p - 21, -4*b + 763*p - 766*p = -29. Solve -b = 3*r - r - 2*z, 0 = u*r - 5*z + 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 4:07 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508.23 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 5*f - 4*u - 100, -22 = -2*f - 2*u. Let l = 54 - f. What is the remainder when 74 is divided by l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/1872 and 155\/4212.\nAnswer: 16848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205490?\nAnswer: 2, 5, 20549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1521443\/30 - -50720. Calculate the common denominator of c and -117\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -8\/7, 3, 4, 13 in decreasing order.\nAnswer: 13, 4, 3, 0, -8\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-352)\/(-56)*(0 - 364\/(-8)). Solve -q*s + 14 = -288*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 7*n - 10*n + 3*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (1 + -1 + 0)) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q**2 - 12*q + 23. Let b = -106 - -183. What is the remainder when b is divided by v(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-21)\/(-28))\/((-6)\/(-8)). Let u = -1906 - -28598\/15. Is u greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 5:42 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((20\/18935)\/(-4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 498 = -36*u, 916 = 4*s + 5*u + 858 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2. Let i(n) = -3*n - 1. Let t be i(-1). Let y(k) = k**2 + 2*k**2 - 3*k**2 + 4*k**t. Give h(y(f)).\nAnswer: 32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 1\/2438?\nAnswer: 1\/2438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2020)\/(-20) + -1 + -1 + 1. Suppose -8 = -4*z + n. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 1115186?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/3)\/(8 + -2).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -7*n + 2. Let j(i) = -36*i + 12. Let f(m) = j(m) - 5*t(m). What is f(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273 = -7*p + l, 101*l = -p + 96*l - 39 for p.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -259.3 + 259.298439. Round d to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -96244 or -96242?\nAnswer: -96242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 19656.16ug?\nAnswer: 19656160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -18\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 26126 = 36563?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*x + 14*x - 4*s + 12, -3*s = -2*x - 10 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 55 = 65. Let c = j - 16. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 3*l = 5, 7 = -3*s + 2*l - 9 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 17*z + 1032. Give b(-61).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19c + -3d?\nAnswer: -1da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1280 (b) -5 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 13, 4802.\nAnswer: -3, 13, 4802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -533 - 5?\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lluulfvvflfulllullf. What is prob of sequence lf?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 357777*u**2 + 30*u - 83. Let t be f(3). What is t rounded to the nearest 100000?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*w - 214*w = 5 + 7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3778 + 7411. What are the prime factors of k?\nAnswer: 3, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**5\/48 + f**4\/24 + f**3\/24 - 3*f**2 - 7*f. Let q(i) = 0. What is i?\nAnswer: -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28852129.9881748 - -1.9881748. Let x = 28852131.0000027 + b. Let u = x - 3. Round u to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7653764976 by -6.\nAnswer: -1275627496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19172*g**2*s**3 + 91*g**2 + 17*g*s**3 - 2*g*s**2 + 108*g + s**2 - 3*s wrt g.\nAnswer: 38344*s**3 + 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m = -6 + 39 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by -18\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k + 24. Let q be w(15). Suppose -2*m = -15 - q. Suppose -6*i = -45 - m. Calculate the highest common factor of 36 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34227211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -143? (a) -13\/96 (b) 0.33 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 447258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -497 + 1364 + 782 - 94*c.\nAnswer: -94*c + 1649","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(0 + 38*r**2 + 0)*((2 - 2 + 1)*(2*r - 2*r - r)*(-4 + 3 - 1) - 5 + 5 - r).\nAnswer: 76*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**8\/i**(7\/2))\/((i*(i*i*((i\/i**(2\/21))\/i)\/i)\/i*i)\/(i*i*i\/(i**(-5)*i)*i*i*i)) assuming i is positive.\nAnswer: i**(529\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wgw when three letters picked without replacement from wgggngwgswwwsswgnwu.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -163\/5 <= -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 8531523?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 177 = -171. Let k(j) = j - 5. Determine k(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 34*t**6\/3 - t**5\/20 + 364*t**2 + 1307*t. Differentiate f(o) with respect to o.\nAnswer: 1360*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*h + 2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3176092*0.0547.\nAnswer: -173732.2324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 97200 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/2 + 5922*z**2 - 35559*z\/2.\nAnswer: 3*z*(z - 3)*(z + 3951)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*v + 75 = 6. Put -116, 4, -2, 0, v in ascending order.\nAnswer: -116, -2, 0, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 6:36 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 11:43 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 315175782 to the nearest integer?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6246)\/(-1388)*4\/(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002373905 to 6 decimal places.\nAnswer: -0.002374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 27776 and -272013408.\nAnswer: -271985632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37.828153281 + -0.171847469. Let p = f + 38. Round p to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11792?\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*s = -119 + 94 + 84. Sort s, -14, 2, 0, -2 in ascending order.\nAnswer: -14, -2, s, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -80 + 77.5. Which is bigger: -0.1 or u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306699?\nAnswer: 3, 102233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/3 + (-52)\/(-12). What is the third derivative of -3*r**2 + r**2 + p*r**4 + 0*r**4 wrt r?\nAnswer: 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/5 - 47*h\/5 - 246\/5.\nAnswer: -(h + 6)*(h + 41)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -5 (c) -1\/2 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cnxtx. Give prob of picking 1 n and 2 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a microgram in nanograms?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.5*4.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4171663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*(-3)\/3 - 2. Let m = f - -7. What is the second biggest value in 1, 5, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2\/((x\/(x*x**(-11)*x))\/x))**(-5\/4) assuming x is positive.\nAnswer: x**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*l**2*o**2 + 5*l**2*o*q - 54*l**2*o - 2*l*o**3 + l*q - 5*o**3*q wrt o?\nAnswer: 80*l**2 - 12*l*o - 30*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 16*r + 305. What is m(-19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 758212?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjyh when four letters picked without replacement from yjjhhayjyahaaasmjh?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005056514 to 4 decimal places.\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1252.358097 rounded to 2 dps?\nAnswer: 1252.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 + -1)\/((-507)\/260 + 2). Is 5 a factor of -1*f\/49*(-7)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -5*x - 4*u, 4*x = 89*u - 94*u + 1 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1019, 4089, 9199, 16343, 25515, 36709, 49919?\n\"Answer: -w**3 + 1026*w**2 - w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 607583170619\/146824749372 - 1\/125598588. Let y = -12\/2945 - -390744\/491815. Let h = y + w. What is the common denominator of h and 59\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4 = 0, 0 = -4*i + 4*l - 64 + 140. Solve 3*b + i = -h + 31, 5*b - 30 = -3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 + 4908*w + 2007372.\nAnswer: 3*(w + 818)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -600, -1325, -2196, -3213, -4376, -5685, -7140?\nAnswer: -8741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yu when two letters picked without replacement from {u: 4, y: 2, m: 7}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36815783, 36815776, 36815769, 36815762, 36815755, 36815748?\nAnswer: 36815741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/7 - 5541*b\/7 - 4734.\nAnswer: -3*(b + 6)*(b + 1841)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -135*r**2 - 131*r**2 - 2*r + r**4 + 0 + 267*r**2 - 2 + 38*r**3 in the form w*r**2 + j + a*r + u*r**4 + m*r**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -8. Let f(n) be the first derivative of n**3\/3 - n**2 - 3*n - 5. Let b be f(p). Is 2 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88153.58589 - -49\nAnswer: 88202.58589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*u - 16 = -2*s, -4*s - 5*u = -44. Let g(v) = -4*v - 13. Let n be g(s). Let f = n - -59. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3954*p + 2226129. Give j(-563).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -4, 3\/5, -4\/7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3991, 8002, 12017, 16036, 20059, 24086, 28117?\n\"Answer: 2*p**2 + 4005*p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1899\/5 - 1893\/5. Which is the second biggest value? (a) q (b) -5 (c) 20 (d) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-755)\/1359*(556\/(-580) + 1)?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 3, 0.3.\nAnswer: 0, 0.3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*g**5 - 9*g**4 - 246*g**3 - 396*g**2 - 120*g = 0. Calculate g.\nAnswer: -2, -2\/5, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 804607 to the power of 1\/2, to the nearest integer?\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12962 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -3. Let v = 259\/4 - 80. Let g = v + 15. What is the nearest to g in 3\/5, o, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121923 is divided by 11083.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12696, -25435, -38174?\n\"Answer: -12739*z + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 1 + (9 + 1 - 3)*(0 - 1 + 0))*(-3 + 1 + 1)*(-9 - 4 + 3)*(-1 - 2*h + 1) in the form t*h + q and give t.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42814474?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6145159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y. Let j(b) = b. Let a(f) = 3*f**2 + 2*f. Let w(r) = a(r) - 2*j(r). What is w(p(c))?\nAnswer: 27*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 28 + 7*s)*((-s - 2*s + s)*(0*s + 4*s - 2*s) + 4*s - 4*s + 2*s**2 + 3*s**2 + s**2 - 3*s**2).\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 7 = 2. Suppose -4*h - 6 = g + 96, 3*g + i*h + 279 = 0. What is the common denominator of 61\/12 and 1\/3 + 1047\/g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 6*o**2 + 6. Let g(t) = 4198*t**2 - 8394*t**2 + 4194*t**2. Calculate y(g(c)).\nAnswer: 24*c**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3\/11 (b) -2\/43 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 22*l - 230861 = 175615. List the prime factors of l.\nAnswer: 2, 3, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1244 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 38, 61, 84?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*f + 50*f - 3828 = 0. Does 38 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -2. Let a(l) = 0*l - 5*l + 4*l. Suppose -13*t = -13 - 0. Let x(d) = d**2 - d. What is r*x(p) + t*a(p)?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1\/2, -1.8, 1044, -4 in increasing order.\nAnswer: -4, -1.8, -1\/2, -0.1, 1044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 9 = -6*k. Suppose 4*g = 5*h + 538, -62 = -2*g - k*h + 196. Suppose 0 = 2*b - x - 167, 0 = -5*b + 5*x + g + 293. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -551030*b**4*y + 111*b**3*y + 10*b**2*y + 4338*y + 48 wrt b?\nAnswer: -13224720*b*y + 666*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 5129190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5136*b**3 - 2*b**2 - 12349.\nAnswer: 15408*b**2 - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -0.0744.\nAnswer: -5.0744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3 - 2)*(0*u**2 + 2*u**2 + 0*u**2) - 97*u**2 + 317*u**2 + 1 + 115*u**2 + (1 - 3 + 0)*(-2*u**2 + u**2 + 3*u**2))*(-21*u**3 - 9*u**2 + 9*u**2).\nAnswer: -7035*u**5 - 21*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/17310 and -107\/84.\nAnswer: 242340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.49 - 3.4. Let a = l + 0.01. Let i = -1.2 + 0.2. Put -2\/7, i, a in increasing order.\nAnswer: i, -2\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 40*j**2 + 45*j**2 - j**2 - 10*j**2. Let k(i) = 4*i. Determine k(b(t)).\nAnswer: 296*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -910c50 (base 14) to base 9\nAnswer: -10158735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 21. Let b(w) = -w - 5. Determine b(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/7 + 32*j**2\/7 - 162*j\/7 + 36.\nAnswer: -2*(j - 7)*(j - 6)*(j - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377 is divided by 23?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccc. Give prob of sequence ccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.27 + -1.17. Which is the second biggest value? (a) -0.6 (b) -4 (c) o (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**3 - k**2 + 3*k - 14. Let b(d) = 6*d**3 - 3*d**2 + 8*d - 40. Give 6*b(o) - 17*x(o).\nAnswer: 2*o**3 - o**2 - 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 + 3*w**2 - w**2 + (2*w + 2*w - 2*w)*(2 - 2*w - 2) + 4*w**2 + 2*w**2 + 0*w**2 - 4*w**2 + w**2 + w**2 to m + d*w + q*w**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, n: 7}. What is prob of sequence cccn?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 305*-3.\nAnswer: -915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.4665747 months?\nAnswer: 0.0038881225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - p - 3)*(3 + 3 - 4)*(0 + 1 + 0)*(-27 - 47 - 74)*(4*p + p - 3*p).\nAnswer: 592*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8345794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*m**2 + 44 + 6*m + 17*m**2 + 0 - m**3.\nAnswer: -m**3 + 6*m + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 771399 is divided by 1400?\nAnswer: 1399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3368*f + 2. Let p(a) = -a. What is s(p(i))?\nAnswer: -3368*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3900\/(-10608) - 2\/(-8). Let w = 2.68 + 0.02. Put i, w, 1 in ascending order.\nAnswer: i, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553165 a multiple of 1058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5460 divided by 122675\nAnswer: -156\/3505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1659358, 3318719, 4978080, 6637441, 8296802?\nAnswer: 9956163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4) + 102\/(-204). Solve f = -23*c + 7 + 16 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 - j**2 + 8*j - 4. Let f be z(-3). Let k be (-2)\/(-4) + f\/(-34). Suppose k = -2*b - 3*t + 634, 4*b - 813 = 4*t + 455. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/16 - (-128254)\/12. Suppose 1 = -z - 0, 4*a + z = -42793. Let o = g + a. Find the common denominator of o and -57\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9465*v**3 - 1052*v + 42.\nAnswer: 56790*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*l - 80*l - 77*l - 75*l + 155*l - 35*l + 193*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a millennium?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2087081889.\nAnswer: 3, 29, 149, 233, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29850, -29852, -29854, -29856, -29858, -29860?\nAnswer: -29862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34877 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18959 + 30645. Suppose 5832 = 2*u + 5*s, 4*u + 3*s - d = 4*s. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-108)\/(-24))\/(6\/92). Let f = -50 + z. Is f a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -1922.\nAnswer: 11532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2332 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -9f59 (base 16) to base 2\nAnswer: -1001111101011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 226725035 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Suppose 0 = -8*j + 6*j - o + 179, 2*o = -j + 94. Let n be ((j\/168)\/11)\/((-2)\/(-18)). What is the third biggest value in 0, -2\/17, n, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-5) + (-1601342)\/(-265) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*1 - sqrt(700)) + sqrt(700) + (sqrt(84)\/sqrt(3) - sqrt(28))**2 - sqrt(14)\/(sqrt(2) + (5*sqrt(8) - sqrt(2))).\nAnswer: 99*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 a, and 1 w when three letters picked without replacement from eweewae?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1704, 3, 0, 1 in descending order.\nAnswer: 3, 1, 0, -1704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/11, 34, -1, -0.3, -78?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 3*g - 11, -2*g + 1 = -k + 6. Let v(t) = -t + 1. Let u(o) = 7*o - 12. Let p(b) = k*u(b) + v(b). Differentiate p(l) wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1977 - 4028*c**2 - 1977.\nAnswer: -4028*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 132.4 + -128.4. Let i = -74\/15 - -28\/5. Put 2\/5, 0, i, r in ascending order.\nAnswer: 0, 2\/5, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((0 - 0)\/1)\/(-2). Solve b = -5*f - 7 + 32 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 16*w**2 + 6*w - 81. Let b(n) = -3*n**2 - n + 16. Calculate 11*b(a) + 2*l(a).\nAnswer: -a**2 + a + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 350067 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*l + 19098418 - 19098898 for l.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60 - -48. Let p(b) = 3*b + 9. Let g(v) = -6*v - 17. Let y(a) = 3*g(a) + 5*p(a). What is the tens digit of y(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2522 times -1506?\nAnswer: 3798132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 133499324 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (90\/8)\/((-1)\/(-8))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g + 4. Let d(w) = -56*w - 77. Give 4*d(x) + 77*m(x).\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50880 and 6720.\nAnswer: 356160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 11, j: 2, y: 1, c: 3, u: 2}. What is prob of picking 1 u, 1 c, and 2 k?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 6:52 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-42)*62\/31.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/84)\/(4\/(-30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 7*m = -43*m + 3341635. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -o**4\/12 - 11*o**3\/6 - 11*o**2 - 5*o. Let l be h(-6). What is the hundreds digit of 4 + ((-468)\/l)\/(2\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -99.6919 - 0.2085688.\nAnswer: -99.9004688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/15 (b) 0.02 (c) 5 (d) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j = 8. Suppose 0 = -2*a - 4*b, -j*b = -a + 4*a. Factor -2\/3*c**2 + c**3 + 0*c + a.\nAnswer: c**2*(3*c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q. Let s(z) = 189*z + 15. Let w(p) = -27*p - 2. Let o be 6\/(8 - 9)*(-30)\/4. Let b(g) = o*w(g) + 6*s(g). Calculate f(b(i)).\nAnswer: -81*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b - -2ab8?\nAnswer: 2b26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/696 and -43\/8208.\nAnswer: 238032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -335 + 337. Let u(h) = -65*h - 70*h - 4*h**t + 135*h + 6*h**2. Let b(k) = 141*k**2. What is b(u(w))?\nAnswer: 564*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 3:57 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6962*t**3\/3 - 102004510*t**2 - 17288950*t - 2197750\/3.\nAnswer: 2*(t - 43955)*(59*t + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nhn when three letters picked without replacement from xtntnh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -385240 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -8 - (-2 + 1 + (-31 - -36))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqjjjjqjpjbpyjqq. Give prob of picking 1 j and 1 y.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 5:50 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.1 and -36983156114.\nAnswer: -36983156119.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*q**5 - q**4 - 36*q**3 + 5892*q.\nAnswer: 360*q**3 - 12*q**2 - 216*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.27 + -1.3. Let m = -0.13 - l. Let d be 1\/3 + 14\/12. Which is the third biggest value? (a) -1\/4 (b) d (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 775 divide 11296432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-27) + (-5)\/((-15)\/16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29570, 118568, 266900, 474572, 741590?\nAnswer: 1067960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-1 + -2) - 0. Suppose -2*r = -3*r - b - 2, -5*r + b + 20 = y. Let v(m) = -m**2 + m + 3. What is v(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54053 is divided by 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36009 = -2*k - 3*x, 0 = -17*k + 14*k + 4*x - 53988. What is k rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11319289?\nAnswer: 23, 523, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.27 - 0.17. Let v = 44989\/382551 - -1\/22503. Which is the closest to 4? (a) v (b) y (c) 5 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000035029417 to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 10*y + 23. Determine s(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500) + (sqrt(500) + 1 + sqrt(500))**2 + 3 - 5*(sqrt(500)*-1)**2 - (sqrt(45)\/(sqrt(54)\/sqrt(6))*-1 + 4).\nAnswer: -500 + 51*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2030 - 104?\nAnswer: 1623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1019*v + 8209 + 15616 - 6502 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4123\/399)\/((-7)\/21)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -u**4\/4 + 7*u**3\/3 - 5*u**2\/2 - u - 3. Let m be w(6). Solve 4 = 7*z - m*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 4139.\nAnswer: 1\/4139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5440 divided by 340.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 1\/3. Let u(o) = -4*o**2 + 2*o - 1. Let p be u(1). Which is the nearest to -0.3? (a) r (b) -0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 12*i + 32 = 0. Sort 1, 3, 0, i.\nAnswer: 0, 1, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 8*b**2 + 7*b - 7. Let p(n) = 7*n**2 + 6*n - 6. Let y(o) = 6*a(o) - 7*p(o). Let w(c) be the second derivative of -2*c**3\/3 + 2*c. Calculate y(w(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 7*q**2 + 5*q + 8. Suppose u + 5*m + 10 = -24, 5*m = u - 16. Let g = u + 12. Calculate the remainder when g is divided by t(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2. Suppose -24 = -5*n + 2*n. Let y(b) = -n*b**2 - 2*b**2 - 3*b + 9*b**2 - b**2. Determine t(y(v)).\nAnswer: -8*v**4 - 24*v**3 - 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 39038*g + 39038*g - 253*g**3.\nAnswer: -253*g**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1768)\/(-19) - 74\/1406.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36173943?\nAnswer: 3, 13, 17, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*k - 19063 + 12211 - 24612 = 0. Solve -592 + k = -8*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 450.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 42 = -4*w, 5570 + 5896 = 67*w - 4*p + 11845 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzozjzj. Give prob of picking 1 z and 1 j.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6620 by -5.\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 585\/6*11902\/8115?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*n - 73*n = -30*n - 42 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7 - -2) + -4 - (4 + 1). What is the first derivative of 24 - 123 + 41 + t - 124 + 75*l**4 wrt l?\nAnswer: 300*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n - 2. Let y(m) = 9*m + 5. Let x(q) = 10*g(q) + 4*y(q). Let a = -4 + 2. Let u be x(a). What is the highest common divisor of 12 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (276\/736)\/((-9)\/(-3)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 26*t**2 - 27*t + 1. Let x be v(27). Calculate the remainder when 156 + x\/(-6)*0 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12 - 1) + (0 - 1). Let k(d) = 9*d - 13. Is k(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 640.7523 months?\nAnswer: 0.053396025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -0*q - q + 253, 5*h - 1235 = q. Suppose -258*j = -276*j + 558. What is the greatest common divisor of h and j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4353652 - 5?\nAnswer: 4353645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -14*l + 31. Let u(f) = -7*f + 16. Let d(w) = 3*a(w) - 5*u(w). Let z(g) = -3*g + 6. Give -4*d(o) + 9*z(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 210 + -26. Let x = 7 + u. What are the prime factors of x?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32833 - 19851. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 126576*y - 2*y**3 - 126437*y - y**2 - y**2 as k + o*y + q*y**2 + n*y**3 and give o.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1651 and 16544671?\nAnswer: 1651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5313?\nAnswer: 3, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*d*h**2*r**3 + 11775769*d*h**2*r**2 - 2*d*h*r**2 - 2*d*h*r - d*h - 37*d*r**3 - 100616*d - 7*h*r**3 wrt h.\nAnswer: 34*d*r**3 + 23551538*d*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 11, q: 3}. What is prob of picking 2 o and 2 q?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 2 + 3*s + 4 + 2*s + 0 + 3*s**2. Let j be h(4). Suppose 0 = -2*t - t - j. Is t not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 4 (b) 6 (c) -0.5 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 161933 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7861?\nAnswer: 7, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 65887?\nAnswer: -65887.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 235*m**4 - m**2 - m + 40*m**4 - 2 + 0*m + m**3 - 519*m**4 + 4*m as i*m**3 + d + u*m**2 + x*m + p*m**4 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 68 + 222 = 0. Which is bigger: v or 21?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*n = 44*n + 32 - 527. Solve 3*q = n*q + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150 and 45?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 7*v**5\/60 + 5*v**4\/24 - v**3\/3 - v**2. Suppose m + 16 = -5*f - 3, 3*f - 11 = 5*m. Is j(m) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c**2 + 2*c + 2. Let l(t) = 6*t**2 + 3*t + 3. Let a be (-1)\/(-4) - (-66)\/24. Let i be 2\/((-6)\/1) + 22\/(-6). Calculate a*l(u) + i*z(u).\nAnswer: -2*u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5841 divided by -1?\nAnswer: 5841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -555.9389 - -3.2539. Let b = m + 552. What is b rounded to 2 dps?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4641 + -605.5641. What is k rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 3 = 0, 3*x + 7*h - 1 = 3*h for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75805?\nAnswer: 5, 15161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68888\/15 - 23172\/5. Let p = 42 + h. Sort p, -0.3, -1, 0.2 in descending order.\nAnswer: 0.2, p, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3*w = -17*w. Suppose 12 = b - 3*y, w = -4*b + 4*y + 44 + 28. What is the least common multiple of 42 and b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 2*m**2 - 11*m + 13. Let h be b(4). Let n(l) = l**3 - 12*l**2 - 14*l + 20. Let p be n(13). What is the greatest common factor of h and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11044 - 11035.893. Let w = 0.193 + y. Let o = -8 + w. Which is the biggest value? (a) -1 (b) o (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x**2 + 4. Let j(q) = 9*q**2 - 7. Give 4*j(g) + 7*v(g).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -83*a + 85*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6960 and 4930?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**3 - 59*k**2 - 335*k + 55. What is s(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/6 + 2\/(-20). Put -5, 0.1, i in descending order.\nAnswer: 0.1, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 120221022110?\nAnswer: -120221022101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 0*q - 6*q + 0 - 1. Let v(x) be the second derivative of x**4\/3 - 4595*x + 3. What is g(v(w))?\nAnswer: -24*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-92)\/(-20) - 5)*176625\/(-5652)?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8202 + 8158 + 8145 + 5*f**3 - f**3 - 24527.\nAnswer: 4*f**3 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3526, 1\/2, -1\/9, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -74\/5 (b) 1 (c) 2 (d) -0.1 (e) -5 (f) -358\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 0)*(-12*a**2 + 3*a**2 + 2*a + 6*a**2) as k*a**2 + s*a + n and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**5 - 15*a**4 - 64376*a**3 + 2*a + 12007404 wrt a.\nAnswer: -60*a**3 - 180*a**2 - 386256*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b**2 - 253*b + 1325. What is v(5)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2116*z**4 - 12328*z**3 - 16852*z**2 + 3216*z - 144.\nAnswer: -4*(z + 3)**2*(23*z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 780 and 47710?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 0, -22, -90, -228, -460, -810?\n\"Answer: -4*a**3 + a**2 + 3*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {p: 9, y: 4, s: 6}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a day in seconds?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -949*m**2 + m - 975*m**2 - 2 - 6*m**3 + 1960*m**2 to u*m**3 + p*m + s + z*m**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42211 is divided by 97.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(700) - ((sqrt(700)*-1 - sqrt(700)) + sqrt(700)))*2*-2)\/(-1*sqrt(100)*-5 + -3*2*sqrt(100))*-1)**2.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30716 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-d + 0 + 0)*(3 - 1 - 4) - 10*d + 5*d - 7*d)*(78 + 156*d - 83 - 170*d) to the form k*d + j + t*d**2 and give t.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.029 + 0.471. What is the nearest to -3 in 3, w, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 52, 6*g - 12*g + 3*i - 2*i + 1 = -2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q + 36. Let v be j(8). What is the derivative of 108 - 132 + 14*f**4 - 3*f**v wrt f?\nAnswer: 44*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 4:07 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 5)*(-4*l**2 + 4*l**2 - 2*l**2)*(-5 + 4 + 3)*(-1 + 1 - l).\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 3607191?\nAnswer: 7214382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2. Let i be (1 - -2 - 3) + -4 + 10. Let x be 102\/i + 1 + 3. Let g(l) = 7*l**2 + x*l - 21*l. What is g(h(f))?\nAnswer: 28*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14 + (-6)\/2 + -3 - 0. What is the remainder when 4 is divided by k - (-5 - 36\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 + 8 + 42\/49)\/(-33 - -34). Suppose 3*o - 4 - 2 = 0. What is r in x*r + 0 - 2\/7*r**o = 0?\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8437599913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-4))\/((-8)\/64*1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**3 - 52728*w**2 + 173712384*w + 347635712 = 0.\nAnswer: -2, 6592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/(-21) + (-4)\/3. Let r(l) = 2*l**2 - 2*l - 8. Let h be r(-6). Suppose z = f + f - h. Is 19 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272243008.\nAnswer: 2, 103, 41299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(143) - sqrt(143))*-6 - sqrt(143))\/sqrt(11) - -3*(sqrt(832) + 1).\nAnswer: 3 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -38, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*a**3 + 1724*a - 1724*a + (1 - 1 - 8*a)*(-2*a**2 - 2*a**2 + a**2).\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3300414142 (base 5) to base 3.\nAnswer: 111020220211001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*w - 18. Suppose 21 = r - 2*t, -r - 2*t + w*t = -36. What is the highest common divisor of 33 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 5*s + 212. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -26376?\nAnswer: 26376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/58, 2\/7, -7\/9, -5 in descending order.\nAnswer: 2\/7, -1\/58, -7\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 285523, 285525, 285527, 285529, 285531?\nAnswer: 285533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a + 7*a = 9*a + 54769. What is the highest common factor of 33 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172919823 to the power of 1\/2, to the nearest integer?\nAnswer: 13150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 386755172, 773510346, 1160265520, 1547020694?\nAnswer: 1933775868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 34748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005591 to 7 decimal places.\nAnswer: -0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/2046 and (-48)\/18 - (-79 - -72)*(-12)\/14?\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j - 42. Calculate f(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -633750.48 to the nearest one thousand.\nAnswer: -634000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*t - 2*t - t)*(1 - t - 1) + 4*t**2 + 25*t**2 - 2*t**2 to the form z*t + m + s*t**2 and give s.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 502*z + 4597. Let x be h(9). Suppose 5*q - 23 = -4*y, y - 16 + 2 = -4*q. Let m(i) = -i**2. Let c(o) = 2*o**2. Determine x*m(n) + y*c(n).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 445, 450, 467, 502, 561?\n\"Answer: b**3 - 2*b + 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12335?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1008) + (sqrt(1008)*2 - sqrt(1008)) + 3 + (sqrt(1008) - (2 + sqrt(1008)*-1)))*-1)**2.\nAnswer: -96*sqrt(7) + 16129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -323 + 323. Suppose -3 = 3*s, k - 7 = -s + 4. Suppose a = k*h - 15*h. Solve 0 = 5*y + j - 11, h = -0*y + y + 5*j - 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.2 - 5.8. Let z = 44 - 45. What is the nearest to z in 0.1, b, -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -11.6. Let s = -38.31 + 38. Let a = -0.19 + s. What is the nearest to -1 in -4, a, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**2 + 50135*j - 2940560 = 0. Calculate j.\nAnswer: 59, 9968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*-1682.\nAnswer: 33640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 13*r + 2. Let i be w(-13). Suppose 4*l - 98 = -2*k, i*l - k - 34 = k. Calculate the remainder when 107 is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20232333311 (base 4) to base 9\nAnswer: -4268728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9845412 to the nearest integer?\nAnswer: 3138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -4.08. Let m(k) = k**2 - 2*k - 85. Let v be m(-8). What is the smallest value in o, v, 3, 2\/11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21+-0.13758734\nAnswer: -21.13758734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -2\/11 (b) -5.23887 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 6:51 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = h - 2*h - 214, -3*o - 5*h + 149 = 0. Let k = o + -11. Solve -8 - 8*b**4 - 93*b**2 + 19*b**2 - 48*b - k*b**3 + 0*b**4 = 0 for b.\nAnswer: -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/79 and 54\/1343.\nAnswer: 1343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -95, 1, -3\/2.\nAnswer: -95, -3\/2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7329 is divided by 48?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 32*h**2 + 7*h + 7. Let l be v(-1). Let u(w) = w**3 - 32*w**2 - 1. Let n be u(l). Does n = -13\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from bububrbubcbbuccbrjb.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -238*y + 1195. What is x(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39959 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: Solve 0 = l + 5*z - 14, 3*l + 78*z - 77*z = 14 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b - -23?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 1:10 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -1 - (193 + -194) - 6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1\/17, -0.7, 3\/2 in decreasing order.\nAnswer: 6, 3\/2, -1\/17, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 5*r + 7. Let p be q(5). Let z(y) = -3*y - 3*y**3 - p*y**2 + 7*y + 4*y**2. Let h be z(-5). What is h rounded to the nearest 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xtyxvyvxxa. Give prob of picking 1 v and 2 y.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5880414954?\nAnswer: 2, 3, 17, 57651127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -19. Sort x, -4, 2 in descending order.\nAnswer: 2, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7*2\/(-238)*7*-7?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 633633 (base 9) in base 5?\nAnswer: 44023210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305*i - 1260 = -320*i. Calculate the greatest common factor of 27 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1c (base 13) to base 2\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3988 - -4417. Which is greater: s or 1721\/4?\nAnswer: 1721\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*k + 16*k - 64*k + 13*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -1. Suppose -m*k - 23 = -3*k. List the prime factors of k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9857*x**4 - 124262*x**2.\nAnswer: -236568*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -32320, -32295, -32270?\n\"Answer: 25*h - 32345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 13*j + 13. Let f be d(-11). Does 21 divide (-4)\/(-6) + (-183)\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9897 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: Factor -84\/5*o**2 + 178*o - 2\/15*o**3 - 1360\/3.\nAnswer: -2*(o - 5)**2*(o + 136)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116776?\nAnswer: 2, 11, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1611.2571 months to years.\nAnswer: 134.271425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10, -53 in descending order.\nAnswer: 0, -10, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274997?\nAnswer: 47, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, s: 7, g: 1, p: 1, h: 1}. What is prob of sequence ph?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 114343223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -k**3 - 2*k**2 + 74581*k - 615140 wrt k?\nAnswer: -3*k**2 - 4*k + 74581","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 11 - 53. Let f = -5 + 8. Suppose 5*g - 4*n = -13, 4*n - 16 = 195*g - 191*g. Solve -5*h = c - z, -3*h + f + 9 = g*c for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15268*b - 79*b + 4084*b as f*b + y and give f.\nAnswer: 19273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001254435421 to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 6479.\nAnswer: 12958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 465 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 4*w**2 - 4*w + 3. Suppose 6*m = 7*m - 46. Suppose -m*d + 68*d + 88 = 0. Calculate z(d).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25880 and 1240?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 3, u: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -15*h. Let z(p) = 17*p**2. What is j(z(l))?\nAnswer: -255*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 4*w**2 + 31*w - 27. Suppose 3*i - 9*y = -8*y - 37, 5*i = 4*y - 71. Is c(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*b + 4. Let h(q) = -q**2 + q + 18. Let r(z) = -3*z**2 + 9*z + 34. Let u(j) = 2*h(j) - r(j). Determine u(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 12:10 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vtvccvccgg. What is prob of picking 1 c, 2 g, and 1 t?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 112000?\nAnswer: 111212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 2)*((-6 + 1 + 3)*(6*o - 3*o - 2*o) + 0*o - 4*o + 5*o) + 29 - 29 + 4*o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1252346ml in litres?\nAnswer: 0.0001252346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 476620930 to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -5*c**4\/6 - 35*c**3\/3 + 1805*c**2\/6 - 2485*c\/3 - 2940 = 0.\nAnswer: -28, -2, 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 31 - 29)*(2*f + 3 - 3)*(-2*f**2 + f - 2 + 2) to l*f**2 + a*f**3 + h*f + j and give a.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (978285\/11772 - 2). Let i = z - 11\/1308. Let d = -81 - i. Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 122*x**5\/5 - 7*x**4\/4 - x**3\/3 - 678*x + 956. Find the third derivative of u(b) wrt b.\nAnswer: 2928*b - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/1*(-115)\/92*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51975 is divided by 82?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 491 + -222. Let l(u) = 189*u**3 - 2*u - 2. Let y be l(-1). Let z = y + q. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1686182532.00000744 - 1686182473. Let l = -59 + x. What is l rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-218)\/(-6))\/(11\/(-3) + 3). Is -55 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 10 = -3*k - 4, -4 = 4*k + 3*p. Suppose -4*i = 5*r - 1467, -k*r - 91 = -5*i + 1784. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*k - 53 + 206, 2*c = -5*k + 113. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4257399 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1483131 by -12.\nAnswer: 494377\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28721 at least as big as 28720?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 14, 4, -4, -178 in increasing order.\nAnswer: -178, -5, -4, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -875*c + 5 = -z - 877*c, -4*z + 4*c = 20. What is the second biggest value in -0.1, 2, -39\/7, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-1)*(-4)\/20*(-10)\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*f**2 + 0*f**2 - 2*f**2)*(-2*f + 5*f - 4*f) + 13 - 28*f**3 - 13 to the form y*f**2 + a*f + t*f**3 + b and give t.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -22. Let g = -3 - -3.2. Which is the third smallest value? (a) g (b) m (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**3 - 24049*h**2 + 73*h - 6613979 wrt h.\nAnswer: 6*h**2 - 48098*h + 73","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4230 and 156321.\nAnswer: 73470870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4 + (-20 - -2 - (-62 - -57)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 274894565 by -11.\nAnswer: -24990415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12963599*g**5 - 12097*g**2 + 494?\nAnswer: -777815940*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5*(-3 + (sqrt(832) - sqrt(832)*2) + 0 + sqrt(832) + (sqrt(832) + sqrt(832) + 0 - sqrt(832)) + 5 + 5) + 1)**2.\nAnswer: 2960*sqrt(13) + 22169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of r**3\/3 + 11*r**2\/2 - 10*r - 1. Let l be h(8). What is l rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11486.\nAnswer: 2, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1242254413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 172*m**2 + 28*m - 4. What are the prime factors of r(-5)?\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1034877.863 plus 11.9244?\nAnswer: -1034865.9386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 831, 1672, 2513?\nAnswer: 3354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8602841 is divided by 613?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) 1\/6 (b) -14.4 (c) 0.5 (d) -0.4 (e) -2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -68 and 0.05.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 1. Let k be f(1). Let p(q) = -q**3 - 3*q**2 - 2*q + 2. Let i = 0 + -2. Let m be p(i). Solve -m*w + k*w = 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31006 - -31070. Is i != -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-8)\/20)\/(1\/(-95)) and -2 + -5 + 20 + -3.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.07 + 3.07. Suppose 15 - 3 = 3*m. Let l be m - (-2 - -5) - 0. What is the closest to -2\/5 in a, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -1\/2443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*h + 12, h - 3*a = -2*a - 4. Calculate the common denominator of -47\/3 and (-4 + 282\/72)\/(h\/(-148)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - i + 1. Let a(r) = -r**2 + 8*r - 5. Let m(c) = a(c) + 2*x(c). Is m(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 290*m**3 - 235*m**3 + 646*m**3 - 2*m**3 + 7*m**3 - m**3 + (-1 + 1 + m)*(-5*m**2 + 1 - 1) as x*m + d + i*m**3 + o*m**2 and give i.\nAnswer: 700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 11:14 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 569 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 267 * 0.3.\nAnswer: 80.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 17*g + 12. Let s be d(16). Let w = -6 - -6.2. Let t = -0.02 - -4.02. What is the third smallest value in w, s, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b. Let n(m) = -m**2 + 223. Give n(x(p)).\nAnswer: -4*p**2 + 223","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283039 + 4*m - 378654 + 661693.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 7*k = 6*k - 5, 3*y - 3*k = -3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*w**2 - 8*w**2 + 5*w**2 - 11*w in the form o + n*w + y*w**2 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 1:38 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -129 + 177. Let n(u) = 21*u + 14*u + 16*u - x*u + 2. Give n(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2032230 + -1413?\nAnswer: 2030514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (42\/20)\/(12 - 16). Let b = 109\/40 + v. Which is smaller: 3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 41, 102, 195, 314, 453, 606?\n\"Answer: -a**3 + 22*a**2 + 2*a + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -380, -397, -440, -521, -652?\nAnswer: -845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmjy when four letters picked without replacement from {m: 7, i: 7, y: 2, j: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-9))\/((-2)\/3). Let x be (-3)\/(-3)*t\/2*1. Which is the biggest value? (a) -0.4 (b) x (c) 2\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (94*(-37)\/(-8695))\/(66\/(-220)*2264\/(-6))?\nAnswer: 1\/283","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bk when two letters picked without replacement from wfllbbfwblkbbb.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40131 at least as big as -2\/2103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 809981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 345*w**2 + 19. Let v be x(10). Suppose 0 = -3*b, t - 6*b = -b + v. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - s - 30. Let p be c(6). Let r be (p\/7 + -10)\/(4\/(-2)). Determine y so that 3\/4*y**3 - 3\/4*y**4 - 1\/4*y**2 + 1\/4*y**r + 0*y + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5508840 and 2505.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4847, 4326, 3761, 3152?\n\"Answer: -22*a**2 - 455*a + 5324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0, 7\/4, 2, 29, 115?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21 - (-3 + 1 + 1). Suppose 5*o - 4*o = v. Let w = 37 - o. What is the remainder when w is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y + 418 = -2*y. Let a be 9*(-6)\/(-9)*(-133)\/y. Solve d + a - 17 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4350, -17340, -38990, -69300?\n\"Answer: -4330*s**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1045116394?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t + 32*t = 77. Calculate the remainder when 13 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 4*z + 5*o - 593, z + o = 613. Suppose 7*f + 114 - z = 0. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56d80 (base 14) to base 6.\nAnswer: 4305444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 3. Suppose l = -3*p - 6. Let z be ((-8)\/5)\/(p\/5). Solve -4*d - z*c = -3*c + 17, c - 13 = 2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 481*k - 30. Let x(r) = -1446*r + 100. Give -10*c(j) - 3*x(j).\nAnswer: -472*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 46533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -38*l + 33*l + 108, 0 = -h - 3*l + 55. Calculate the remainder when 7397 is divided by h.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.56409136 and -11.7.\nAnswer: -11.13590864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/2441 and -43\/839.\nAnswer: 2047999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -343 + -4?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2489.163 nanoseconds?\nAnswer: 0.00000004148605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**5\/20 + y**4\/2 + 12*y. Find the third derivative of p(i) wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2437815093?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**4\/7 + 248*c**3\/7 + 3844*c**2\/7 = 0 for c.\nAnswer: -31, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 11, p: 5}. Give prob of sequence pe.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t. Let u be c(-1). Let h be -8 - (-3 + 5 - u). Is -8 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -192, -199, -208, -219?\n\"Answer: -q**2 - 4*q - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**7\/105 + x**6\/60 + 5*x**2\/2 - 4*x. Let v(l) be the first derivative of i(l). Find o, given that v(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3030\/27 + (10\/(-9))\/5. Differentiate 229*x**2 - m*x**2 - 91*x**2 + 106 wrt x.\nAnswer: 52*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528697891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.63 * -4.9.\nAnswer: 3.087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -146 and -0.5563?\nAnswer: 81.2198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 6 = 3*x, -22*x = 5*u + 27744 - 27641 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 9*z - 17. Determine v(9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41 and 107297.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -266*330\/(-1254) - 6\/(-6)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 188 = 14*w. Solve -w*u = 100 - 76 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384039463?\nAnswer: 1429, 268747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + 5. Let u = -17.4 + d. What is u rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4002 - 4094 + 5524)*(5*x**2 + x**4 - 5*x**2).\nAnswer: -2572*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/45*(-49)\/((-21560)\/(-352))*(-50)\/(-16)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293083 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - 5*i + 0*i)*(3*i - 2*i + 0*i).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = l + 3*m - 7, m = 2. Let h = 7\/6 - l. Let a = 40 + -38. What is the third biggest value in h, a, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (47303\/(-10))\/(2\/1). Let y = z - -2366. What is the common denominator of y and -43\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 258*y**3 - 2*y**2 - 2*y + 4. Let h(u) = 1548*u**3 - 13*u**2 - 13*u + 26. Determine -6*h(m) + 39*k(m).\nAnswer: 774*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -8*r - 14. Let n be r\/14 + 51\/2. Solve s = -4*s - n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 329*f + 56 wrt f.\nAnswer: 329","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -675176 divided by 1?\nAnswer: -675176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 10. Let f be (a\/2)\/((-1)\/(-160)). Suppose 0 = 5*y - 65 - f. List the prime factors of y.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**5\/90 - m**4\/36 + 4*m**3\/3 - 32*m**2 + 54*m. Let f(o) be the first derivative of a(o). Factor f(h).\nAnswer: -2*(h - 3)*(h + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.43276 * -5\nAnswer: 2.1638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*t + 49*t + 56*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 2893526.3 to the nearest 10000.\nAnswer: 2890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -617, -1229, -1855, -2501, -3173?\n\"Answer: -p**3 - p**2 - 602*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-72)\/(-6))\/(2\/16).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.96347055 rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 18*u. Let d be (-2 - (-1 - -2))*(-244)\/12. Let f = d + -55. Let v(x) = -8*x - f*x + 13*x. Calculate b(v(t)).\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 277*o - 9. List the prime factors of c(2).\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 v, and 1 s when three letters picked without replacement from {s: 1, v: 2, r: 14}?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 0 + 0*w - 187\/36*w**5 - 58*w**2 - 2\/3*w**3 - 26\/9*w**4 - 289\/360*w**6. Determine f so that s(f) = 0.\nAnswer: -3, -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 698894 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 + 75. Suppose k*n = 17*n + 408. Is n a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10442404 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/4*-1*-2. Let r(y) = 2*y - 1 - c + 3. Let m(o) be the third derivative of 5*o**4\/24 + o**3\/2 + 7*o**2. Determine -3*m(n) + 8*r(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p**2 - 4*p**2 + 3*p**2 - p)*((0 + 4 - 6)*(3*p - 4*p - 2*p) + p - 3*p + 0*p) to m*p**2 + u*p**3 + g + f*p and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + o)*((2 - 2 - 2)*(3 - 4 + 2) - 3 + 1 + 1 - 2 + 1 - 1 + 2 - 1 + 1 + (-1 + 0 + 0)*(1 + 0 + 0)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2322419*m. Let k(a) = 3*a**2. Calculate x(k(i)).\nAnswer: 6967257*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence od when two letters picked without replacement from {d: 2, a: 3, g: 1, o: 3, v: 3, j: 2}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 135.51 + -135. Let g = -0.01 + i. Which is the third smallest value? (a) -1.1 (b) 1 (c) 2\/7 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140\/((-980)\/231)*4\/(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7330317 bigger than 7330317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -23*b + 173. Let n(j) = 74*j - 520. Let k(x) = 3*n(x) + 10*y(x). Let q be k(19). Solve -15*r - 3 = -q*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.407452 - -35.605148. Let t = 36 - m. What is t rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2570*n - 550 + 550 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 17. Let m(a) = -983*a - 32. Calculate m(x) + 2*p(x).\nAnswer: -981*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 57 = 3*v. Which is the third smallest value? (a) 0.2 (b) v (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -504264, 4, 0, 5 in ascending order.\nAnswer: -504264, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 6:37 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 11*w - 13. Let n be o(-3). Suppose 3*b + 32 = n*b. Put -2, 24, b, -3 in ascending order.\nAnswer: -3, -2, b, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8748.768ng to milligrams.\nAnswer: 0.008748768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqiqcqcq. What is prob of picking 1 c and 1 q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 574*u - 234. Suppose 5*i + t = 98, -3*i - 2*t + 29 + 27 = 0. Is p(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1304 + -8.8696. Let b be -1 + (-2 - (-5)\/2). Let j = -0.22 + 0.62. Put j, 0.1, z, b in increasing order.\nAnswer: z, b, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*t = 666, -5*u + 6*t + 1656 = 3*t. Let p(h) = -39*h - 47*h - 30 + 93*h. Let r be p(9). What is the highest common divisor of r and u?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3\/10, 1.2109, -0.4, -6?\nAnswer: 1.2109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 12:56 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-244)\/48 + (-66)\/(-24).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tw when two letters picked without replacement from {f: 3, t: 2, w: 6, o: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13 or -9?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1755 and 945.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 7*v + 5. Let q be o(-5). Let z be q\/(-4)*(-16)\/(-12). Let y(r) = 5*r + 10. Let x be y(8). Calculate the greatest common divisor of x and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 - 21. Let s = -57.9616 - m. Round s to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -659883\/2 + 1407\/2*b - 3\/8*b**2.\nAnswer: -3*(b - 938)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 938 divided by -67?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 k when two letters picked without replacement from {j: 2, k: 5, z: 3, d: 2}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113470, -114681, -115892, -117103, -118314, -119525?\nAnswer: -120736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 18692909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q - 1. Let v be a(-2). Let l = -378 - -404. Let k(f) = 6*f**2 - 1. Let s be k(-1). Solve v*u = -s*b - l, 0 = u + 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*h = 47*h - 12. Suppose -4*z - 6496 = -0*z + h*p, 3*p - 6 = 0. Let t = -772 - z. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52\/315 - -2\/35. Let j = -3.6 - -4. What is the closest to 2 in j, f, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 8:45 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5217 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-140)\/(-63)*72\/16. Suppose -3*j + w = -5*q, -6*j - 4*q = -10*j + 8. Solve -3*g = -j*n + n - 1, 35 = -5*n + 5*g for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19915 + 19918. Suppose 0 = j - 0*j - 27. Solve 3*v + h*o - o = -21, -3*v - 4*o - j = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 11:43 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 2*h**2 - h - 1. Let u be f(-3). Suppose -3*t - 10 = u. Let g = t + 19. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 79281, 158565, 237849?\n\"Answer: 79284*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*m**2 - 184012*m*x**2 + 5028*x**2 - 1336*x wrt m?\nAnswer: 6*m - 184012*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 1:58 AM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(17) + (2*sqrt(17))**2)*6 + 3 + sqrt(425) + ((sqrt(170)\/sqrt(5))\/sqrt(2) - sqrt(119)\/(sqrt(14)\/sqrt(2)))).\nAnswer: -411 - 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.4, -7, -26\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 56 and 2.02.\nAnswer: 113.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32448597.\nAnswer: 3, 17, 636247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 120213269213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7\/7*(19 - 2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 219934712 and 7242.\nAnswer: 2414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 4218 (b) -3\/8 (c) 4 (d) 153.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*n**3*r**3 - 6*n**3 + 2*n*r**4 + r**2 + 22 wrt r.\nAnswer: -18*n**3*r**2 + 8*n*r**3 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201 + 18*t - 201.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 3. Let y(l) = -1 + 6 - 2*l - 1 + 1. Suppose -o - 19 = 5*r, o + 4 = -2*r - 6. Let u(c) = -3*c - 5. Let s be u(o). What is s*b(w) - 4*y(w)?\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/11)\/(12*13\/(-26)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + -6)*(-6)\/(-24). Which is the fourth biggest value? (a) 0.24 (b) 0.3 (c) v (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31279 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 1647663560.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.106096 * 0.2.\nAnswer: 0.2212192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 992386?\nAnswer: 2, 496193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 903.7.\nAnswer: 894.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 1. Let o(y) = y - 9. Let x = 29 + -23. Let c(b) = x*k(b) + o(b). Let v(r) be the first derivative of r**2\/2 + r - 2. What is -c(m) - 3*v(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 35061394940305?\nAnswer: -35061394940305.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**30*j**(1\/6))\/((j**(6\/19)\/j)\/j*j\/j**(-4\/3)) assuming j is positive.\nAnswer: j**(3365\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -11*l**3 - 402*l**2 - 18*l + 14. Let g(x) = -10*x**3 - 404*x**2 - 15*x + 12. Give -6*g(m) + 5*t(m).\nAnswer: 5*m**3 + 414*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 5*k**3\/4 + 11325*k**2\/4 + 207555*k - 875600 = 0?\nAnswer: -2189, -80, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1158 - -1160. What is the second biggest value in y, 58, 3\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-12)\/(-120)*(370\/(-222))\/(2\/(-174))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1028291 (base 10) to base 6.\nAnswer: 34012335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -0.1, 2\/51?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 - -263. Let t(r) = r**2 - 4*r - 17. Let i be t(9). What is the highest common factor of d and i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*(p\/p**(-2\/5))\/p)\/(p\/p**7))\/(p**1)**(-7)*(p**(3\/4)\/p**6)\/(p*p**(1\/4)\/p)**(-14) assuming p is positive.\nAnswer: p**(273\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 3*i**2 + 3*i - 12. Give l(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 820*u**2 + 1049*u.\nAnswer: 1640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 16) to base 5\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6215 - -6209. Let f(c) = 11*c**3 + 3*c - 3. Let s(r) = 54*r**3 + 14*r - 14. What is z*s(l) + 28*f(l)?\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 6*i + 1. Suppose 4*k + 5*p + 3 = 0, -p = -4*k - 5*p - 8. What is v(k)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420.29711 less than 0.088666?\nAnswer: -420.208444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 8*o**3 - 28*o**2 - 230*o + 2245. Calculate u(9).\nAnswer: 3739","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -148*n**2 - 45*n + 590. Let u(x) = 222*x**2 + 63*x - 885. Let b(f) = 7*d(f) + 5*u(f). What is the derivative of b(o) wrt o?\nAnswer: 148*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 5. Let i be 27*16*t\/(-12). What is the greatest common factor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 11*v + 14. Let y be u(-12). Let g = y - 22. Suppose 3*r - 4*s = 76, 68 = g*r - 0*s + 3*s. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38 + 24 - 26*s**2 + 7*s**2 + 8*s**2 - 2*s to f*s**2 + v + t*s and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/5 + 0 - 3145\/925?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 5:23 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 460*w**2 + 40*w - 373. Is i(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2908032242.\nAnswer: 2, 37, 39297733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12380797 to the power of 1\/3, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101404 is divided by 12670.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1141, 2289, 3437, 4585, 5733?\nAnswer: 6881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 6*c. Let o(p) = 2*p + 1. Let y be o(3). Let t(l) = -3*l**2 + y*l**2 - 3*l**2. Give t(n(k)).\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -13*g + 69. What is d(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -571*a - 198. Let q be i(-9). What is q rounded to the nearest 100?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, -61 in descending order.\nAnswer: 6, 0, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 844 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 132814172821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 2\/5 (c) -2 (d) 2 (e) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 6007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13372, -13463, -13554, -13645?\n\"Answer: -91*k - 13281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -2, -7\/6, 0.5, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 36181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -446 - 20*s + 446 as h + a*s and give a.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 3*f - 4. Suppose 5*t - d = -29, 2*d = 4*t + d + 24. Give a(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -1724*h - 70691. Determine i(-41).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010102021 + -20001?\nAnswer: 1010012020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57498 by 57498.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2266506 and 108?\nAnswer: 13599036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 - 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2621990)\/9065 + 289)*(32\/(-18) + (-2 - -4)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 3:37 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.1881 to the nearest integer.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -93421 and 0.3.\nAnswer: -28026.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-128)*8\/10)\/(15\/(-80))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + -5 - 2523 - -5. Let w be 220\/100 - 2\/10. What are the prime factors of (w\/3)\/(5*(-4)\/d)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -189 divided by -1\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t**2 - 1. Let q be k(2). Suppose 3*a = -4*y - 25, -a + 0*y - 3*y - q = 0. What is the units digit of 18*a\/((-12)\/2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**2 - 2*a**2 - 3*a**2 + (-5*a + a + 5*a)*(a + 2*a - 4*a) + (-2 + 5 - 2)*(-9 + 6*a**2 + 9)*(-3 + 0 + 8).\nAnswer: 28*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2751484?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 10 = 110. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 620122 is divided by 153837?\nAnswer: 4774","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 11*d - 45. Does 21 divide t(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 80 - 464*c - 238*c - 246 - 276. Let f(k) = 19*k + 12. Let w(a) = -221*f(a) - 6*i(a). Let d(v) = -9*v**2. Give d(w(u)).\nAnswer: -1521*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vhvvyyvvhy. Give prob of picking 3 y and 1 h.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 4*a = 3*m, 0 = 6*m - 5*a for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2312222102 (base 4) in base 12?\nAnswer: -300b82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10699\/17 + 629. Is w less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72023\/8916 + -4\/743. Let d = -135\/11 + 251\/33. Find the common denominator of c and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.034 * 94138\nAnswer: 3200.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -5. Let n(a) = u*a - 3*a - 1 - 2*a. Let v = 700 + -707. Determine n(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m + 3*i - 1, 2*m - 111 = 25*i - 36 - 42 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21.9 - 21.8. What is the nearest to z in -1\/3, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 y, and 2 x when four letters picked without replacement from ywwwwvxwwwvwvwxwwxx.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 131301 and 350136.\nAnswer: 1050408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 15.12. Let v = o + 0.88. Which is the third smallest value? (a) -1\/3 (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9543828.\nAnswer: 2, 3, 7, 16231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4126?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 5471 = -39255. Let c = -2530 + w. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - (84 - 141)) + 2.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -2*s - 1 + 7, -2*s + 7 = -j. Which is smaller: 0.073 or j?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 1512583?\nAnswer: -1512586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*p = -0*o + 6, -4*p - 10 = -3*o. Let n be -6 + o + 1 - 1. Is (1 + -1 - 307\/4)*n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**4\/12 - 31*l**2\/2 + 103*l. Let q(y) = 2*y**2. Calculate q(b(m)).\nAnswer: 2*m**4 - 124*m**2 + 1922","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2 + 7*s + 6. Suppose -5*z - 6*c + 5*c - 8 = 0, -14 = 2*z + 4*c. Give l(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 358 + 979. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 6*n - 56. Let c = -353 - 134. Let o be (-3)\/(-5) + c\/(-5). Calculate the highest common divisor of n and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (304*l**3 + 98*l**3 + 23*l**3)*(0*l - 2*l - 3*l).\nAnswer: -2125*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 6*k**2 - 25*k + 6. Let d(r) = -r**3 - r**2 + r - 1. Let q(n) = -6*d(n) - u(n). What is the second derivative of q(x) wrt x?\nAnswer: 42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wkkl when four letters picked without replacement from wzknrzln.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 2*z. Let t be d(-3). Suppose -t*b + 2*w + 4 = -6*b, -10 = 5*b + 4*w. Let r be (-264)\/(-510) - b\/5. What is the closest to 0 in r, -4, 4\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(-2*sqrt(16)\/sqrt(4)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -297, -998, -2155, -3762, -5813, -8302, -11223, -14570?\n\"Answer: m**3 - 234*m**2 - 6*m - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*y = -83*y + 1208. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 6*q - 25. Let d be a(6). Solve -26 = -3*x - d for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.1 + 0.9. What is the third smallest value in c, -4, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.89930425 to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 166 and 32925519?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-8) + 0)*6. Suppose -5*w - 9 = m*h, -4*h - 6 = -2*h. Suppose 3*a = 11 + 4. Solve -2*g - u = 2, -a*g - 23 = -w*g - 2*u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -4*d**7\/21 - d**4\/2 + 4*d. What is the third derivative of u(o) wrt o?\nAnswer: -480*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*t = -9 + 59, -2*v + t - 65 = 0. Let y = -1409\/4 + 361. What is the common denominator of y and 17\/(-132) - (11 - (-310)\/v)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (671\/44 - 16)*(-672)\/(-108)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = -5*r - 5*c, 4*r + 2*c + 35 = -41. Let p = r - -29. Suppose 2*m - p = -m. Which is greater: m or 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-1 + -44 + (-878 - -895))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 - -30. Let v = s - -18. Let n be v\/(-21) - (-796)\/6. Calculate the greatest common divisor of n and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -258287 minus 0.17?\nAnswer: -258287.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35 - 73 + 26)*(-374*y + 676*y - 363*y) to q*y + g and give q.\nAnswer: 5002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 223?\nAnswer: 223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 2:55 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -70 + 69. Sort -4, 4, -3, s in descending order.\nAnswer: 4, s, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 12312 = -12612 for j.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-67)\/1340*4\/1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56\/23713 + 416802953\/189704. Let j = -4413\/2 + w. Find the common denominator of j and -56\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2, -10.465, -2\/161 in ascending order.\nAnswer: -10.465, -2, -0.1, -2\/161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 6*w + 1. Let j be g(-4). Let s(a) = a**2 + 22*a - 23. Let z be s(j). Solve 3*l + 19 = -5*y, z = 5*l - 0*l - 2*y + 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 3*b - 168. Let p = -30 + b. Suppose -5*w - p + 15 = 0. Let c(h) = -h**3 - h**2 + h - 4. Give c(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672350431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 5*f - 1. Let g be t(-4). Let a be (0\/(g\/(-3)))\/2. Let w be a\/(1 + 1 - 4). Solve -8 = -2*r - w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15d60 (base 14) to base 10.\nAnswer: -54768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**2 + 361*w - 111. What are the prime factors of b(37)?\nAnswer: 13, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 753083?\nAnswer: 17, 31, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126, -127, -138, -165, -214, -291?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -4*b - 161, -b + 2*z - 29 = -3*z. Let l be b\/(-10) + (-6)\/(-10). Sort 3, 4, -3, l.\nAnswer: -3, 3, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 7*n**2 + 16)*(n - 2*n**2 - n) + (-3*n + 2*n**3 + 3*n)*(-3*n + 2*n + 0*n) + 0*n**4 + n**4 + 0*n**4.\nAnswer: -15*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/((-5049)\/(-22)))\/((-2)\/(-6)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7200 and 350478?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 61883186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -73a8 (base 13) to base 8\nAnswer: -37230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -3\/5, 3, 1.\nAnswer: -3\/5, -0.04, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 o, and 1 n when three letters picked without replacement from {l: 3, o: 1, w: 4, q: 1, a: 3, n: 6}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16197 and 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 42623, 115, 20 in ascending order.\nAnswer: 20, 115, 42623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -826*r**3 - 7*r**2 + 17*r - 7. Let v(p) = 276*p**3 + 2*p**2 - 5*p + 2. Give -7*v(i) - 2*x(i).\nAnswer: -280*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 325*r**2 + 1255*r - 180.\nAnswer: 5*(r + 4)*(65*r - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -4*g + 36, -14*s = -5*g - 11*s + 35 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -112562 + -6617?\nAnswer: -121401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21948238 is divided by 1090.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2627*p + 0 - p**3 - 2626*p - 4*p**2 - 5. Suppose -z - 6 = x + z, 5*z + 9 = -x. What is m(x)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4091 - 4089. Solve -2*s = 2, 13*f + x*s = 14*f - 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76 + -226\/3. Let w = -1.01 - -0.972. Let z = w - 0.462. What is the biggest value in k, 5, z, 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**8*s**(2\/13)*((s**(2\/7)\/s)\/s)**(2\/99))\/((s*s\/(s*s\/s**(-3\/5)))**(-47))**25 assuming s is positive.\nAnswer: s**(-2137778\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 14*g**2 - 48*g + 7. What is c(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -455045?\nAnswer: -455051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*q + 2*q + 165, 3*v = 2*q + 71. Let l be -3 - (-1)\/1 - q. Let c = l - -33. List the prime factors of c.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43b80 (base 13) in base 14?\nAnswer: -32a74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w. Let m be n(-5). Let z(c) = 1013*c**2 - 1 - 3047*c**2 + c + 1019*c**2 + 1019*c**2. Let x(h) = 7*h**2 + 2*h - 1. What is m*z(r) + 3*x(r)?\nAnswer: r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k. Let u(t) be the third derivative of t**8\/20160 - 4*t**5\/15 - 5*t**2. Let r(i) be the third derivative of u(i). Give v(r(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 311*z**7\/70 + z**6\/120 + 899*z**3\/6 + 1393*z**2. Find the first derivative of l(h) wrt h.\nAnswer: 3732*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/5 (b) -1\/7 (c) -19 (d) -3965 (e) 1 (f) 6\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18617 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-3))\/(17\/5049*9)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oggg when four letters picked without replacement from {o: 2, g: 8}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109112 to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348*o - 85 = -296*o - 729 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 2*q. Let a(x) = x**3 - 2*x**2 - x + 7. What is the remainder when 19 is divided by a(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 8 = 4*n, -2*o = 4*n + o. Suppose c - 25 = n. List the prime factors of c\/(-5 + 9 - 2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/9 + (-269)\/45. Let o = 6 + z. Let h(f) = -f**2 - 4*f + 2. Let y be h(-4). Sort y, -0.3, o in ascending order.\nAnswer: -0.3, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -0*h + 5*g - 56, -g - 86 = -5*h. Let y be 125\/(-7) + (-3)\/21. Let c = h - y. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20.4 - -17.46. Let p = o + -0.06. Let r be (-12)\/(-28)*(-4)\/(-6). Sort r, -1, p in increasing order.\nAnswer: p, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3254 times 0.72?\nAnswer: 0.234288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*z**2 - 74*z**2 - 15*z**2 + (0*z - 3*z + 5*z)*(3 - 3 - 2*z) + 2*z**2 - z**2 - 3*z**2.\nAnswer: -68*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 342, 0, 3\/2, -3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.2 (b) 14 (c) 0 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -2 + 6 - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (2 + 1 + 7). Let o be 12\/16 + (-39)\/x. Sort 3, -1, o.\nAnswer: -1, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -163, -331, -557, -841, -1183, -1583?\nAnswer: -2041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -64. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**3 + 427590*w**2 - 2565459*w + 3848148 = 0. Calculate w.\nAnswer: 3, 142524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (4\/3)\/((-20)\/(480\/56))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 10)*(0*w**2 - 7*w**2 + 3*w**2)*(-3*w + 2 - 2)*(-1 - 3 + 3 + (1 - 1 - 1)*(-10 + 0 - 2)) as z*w**3 + l*w + f + k*w**2 and give z.\nAnswer: 1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -10 (b) 1 (c) 61\/13 (d) -173\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssfssfsiiffis. Give prob of picking 2 i.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 15*h**2. Let o be g(-15). Suppose -22 = -o*s - s. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 835255 + 3157*u**3 - 835255.\nAnswer: 3157*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**11*p*(p\/(p*p**(-7\/4)))\/p*(p\/(p**(2\/9)*p*p))\/(p\/(p**(2\/9)*p*p)))**(7\/5) assuming p is positive.\nAnswer: p**(357\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*j + 5*n - 84, 2*n - 433 = -3*j - 411 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -5*u - 0*z - 20, 2*z = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 7*m - 91. Give b(24).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1763012?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 9*i**2 - i - 6. Let d(m) = -2*m**3 - 18*m**2 - 2*m - 12. Let h(x) = -4*d(x) + 7*g(x). What is h(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9, -10, -11, -12, -13?\n\"Answer: -v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -17.16 and 0.01.\nAnswer: -17.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-432)\/1368 - 2*(-1518)\/228 - (2 - 4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2806, -2769, -2730, -2689, -2646?\nAnswer: -2601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/((y**(-2\/9)*y)\/y)*y)*y*y*y**(-3\/10)*(y\/y**(-1\/3)*y)**(-8) assuming y is positive.\nAnswer: y**(-1637\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 544, 990, 1436, 1882?\nAnswer: 2328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-6) - 7\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 16*w. Let q(f) = 4*f + 76. Let a be q(-18). Let s(z) = a*z + 7*z - 8*z. What is i(s(c))?\nAnswer: 48*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 6:50 AM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/2 + 483\/(-6). Let x = v - -118. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 2. Let x(h) = -114*h + 190. Determine -3*x(y) + 285*z(y).\nAnswer: 57*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -66317.64 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11512 is divided by 9947.\nAnswer: 1565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502114136.\nAnswer: 2, 62764267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74095 - -181946. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c**2 + c + 1. Let o be z(-1). Suppose 4*s - v = 58, -v + o*v + 69 = 5*s. Let l = -6 + s. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 4166614057.\nAnswer: 4166614062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6521252 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*r + 5*r - 5*r)*(5 - 2 + 2).\nAnswer: 45*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 228, 229, 230, 231?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 16*l + 4 = 0. Suppose 27 = -3*z + 69. Suppose -2*d = l*o - 34, -d - o + z = o. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/13 + 10\/65. Suppose 5*z + m*z + 40 = 5*g, -2*z = -3*g + 27. Suppose 3*n + 816 = g*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 15065, -0.087, -41 in increasing order.\nAnswer: -41, -0.087, 15065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6268, 6558, 7036, 7702?\n\"Answer: 94*p**2 + 8*p + 6166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**2 - 4*k + 2*k - 5*k**2 - 11*k**3 - 5*k**3. Let d be t(2). Let g be d\/(-10) + 10\/25. What is the highest common divisor of 56 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.076 + 0.066. Let p = 0.61 + -0.5. Let w = p + l. What is the third biggest value in 0.5, w, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38549 is divided by 54.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 9*h + 3. Let u be r(9). Let b = -12 + 16. Is u <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 4 = 2*z, 2*m + 2 = 3*z + 10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 209*t**5 - 1596*t.\nAnswer: 4180*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + w + 1. Let v(f) = 2*f**2 + 13*f + 19. Let l(p) = -3*r(p) + v(p). Is 3 a factor of l(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -360.9 to 0 decimal places.\nAnswer: -361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -204*l**5 + 13*l**4 + 1404*l**2 wrt l.\nAnswer: -12240*l**2 + 312*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 12*t + 15 = -8*t, -5 = -t. Suppose -3*h - h + 124 = 0. Find the first derivative of -27*o + 9 + a*o - 17*o + h wrt o.\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 1. Is s greater than or equal to -1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**3\/4 + 494*w**2 - w\/4 - 494 = 0 for w.\nAnswer: -1976, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 15. Let k be q(10). Suppose 4*r = -4, 0 = -k*i + r + 3*r + 4. Is 31*((-1)\/(-1) + i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5. Let o(s) = -1. Let r(h) = -6*o(h) + 2*z(h). Let m(u) = u + 11. What is 3*m(q) + 8*r(q)?\nAnswer: 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -43861 + -24?\nAnswer: -43885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 922 - 552. Suppose 12*f = 98 + r. Is f a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 25*d + 220. Let m be y(-8). Calculate the greatest common factor of 70 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -4. Suppose -4*h + h - 9 = p. Let t = h + 6. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jjjjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -91, -89, -87?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34898419 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2322, 4562, 6802, 9042, 11282, 13522?\n\"Answer: 2240*x + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**7\/1260 - r**5\/12 - r**2. Let h(k) be the third derivative of m(k). Let j(z) = 2*z. Determine j(h(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q - 15. Let s(j) = -2*j - 2. Let h(u) = -l(u) + 2*s(u). Calculate h(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2092800 divided by -15?\nAnswer: -139520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 26\/5 of a meter?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 4*q**2 - 106*q + 237. Give h(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 2*k**2 + 61*k + 66. Give n(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -770242050*n**2*z - 2*n*z - 3*n - 8260*z - 761 wrt n.\nAnswer: -1540484100*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346 - g**2 + 344 - 1037 + 347.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1243\/852 - -3\/71. Let i = -9 - -95. Calculate the common denominator of 6\/(-9) + i\/(-36) and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 323232 and 503607.\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -u - 5*d - 13, 0 = -5*u + 5*d - 5. Let j(z) = -z**2 - 5*z. Determine j(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 10:24 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {z: 9, o: 11}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, o: 3, r: 3}. What is prob of sequence rrr?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1240565, -1240560, -1240561, -1240568, -1240581, -1240600?\nAnswer: -1240625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 1.00715?\nAnswer: -0.40286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 362983 and 362983 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95576 is divided by 31839?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2\/7, -1, 17\/25, 3, -1\/4.\nAnswer: -1, -2\/7, -1\/4, 17\/25, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 6*u**2 + u - 12. Let o be k(-5). Suppose o*p + 14104 = 133728. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1354.2 - 1222. Let t = v - 132. Which is the nearest to 1\/2? (a) t (b) -0.04 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 + 60*h**2 - 127*h + 34. Let z be n(-32). Which is the nearest to 2\/2549? (a) z (b) 4 (c) 1\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**3\/6 + 5*f**2\/2 - f. Let n(v) be the second derivative of -v**3\/6 + 5*v**2\/2 + 4*v - 14. Determine -2*m(y) + 3*n(y).\nAnswer: -y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s**2. Let t(x) = 256*x. Calculate j(t(k)).\nAnswer: -393216*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 53149215.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/(o**(-4)*o))*o)\/o)\/(o*o**0\/o))**32*((o*o**(-1)*o)\/o)**(1\/85)*o**(-3\/2)*o**(1\/7)*o assuming o is positive.\nAnswer: o**(-1349\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 56*p**3 + 8*p**2 + 8*p + 13. Let d(a) = -37*a**3 - 5*a**2 - 5*a - 8. Give 8*d(i) + 5*z(i).\nAnswer: -16*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125, -85, -45, -5, 35, 75?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**5*r**2 + 4298*c**3*q*r + 7*c*q - 842*c*r - q*r**2 wrt c.\nAnswer: 40*c**3*r**2 + 25788*c*q*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, 3, -3 in decreasing order.\nAnswer: 59, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/14)\/(15\/((-1575)\/(-10))). Let n(t) = 22*t + 7*t**2 + 2*t**2 + 4 - 24*t - 2*t**3 + j*t**3 + 13*t. Let m be 0 - (-3)\/((-6)\/16). Calculate n(m).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -292 - -2691. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*h + 135155 = 0, -4*t + 0*t + 108124 = -3*h. Let v = t - 54131. What is v rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s + 83. Let h be r(-13). Suppose -20 = 5*z, -3*z + h*z = -g - 8. Solve -t + 3*t + 6 = g, 2*f + 2*t = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -103 + 75 - 24*l + 11*l**2 - 7*l**2.\nAnswer: 4*(l - 7)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6868929*q + 8408547?\nAnswer: 6868929","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111498?\nAnswer: 2, 3, 18583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 1. Suppose -7 = -3*v + t. What is the least common multiple of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + o - 34 = 0. What are the prime factors of o?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -18*y**3 + 3*y**2 - 4*y - 4. Let k be q(-3). Suppose -x + 163 = -4*v, 3*x = 7*v - 3*v + k. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + 5. Sort -1, 4, m in decreasing order.\nAnswer: m, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v + 5*a = 8*v, -7*a = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -432, -982, -1752?\nAnswer: -2742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 n when two letters picked without replacement from {b: 2, a: 1, n: 1, w: 1, c: 1, t: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 104\/182 + 27\/(-84)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*k - 2*k - 3*k - 6*k - 6*k - 6*k + (2 + 2 - 3)*(1 - 1 + 2*k) - 4*k + k + 0*k.\nAnswer: -17*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 538457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*n + 929*n + 1356*n - 410*n = -22693 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + t + 12 = 0, 2*k + 13 = -5*t + 1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 423292 and 9890?\nAnswer: 2116460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36*d + 11*d - 43*d)*(3 + 1 + 5) as s*d + z and give s.\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 6. Let h = -8\/3 - -10\/3. What is the nearest to h in 5, -0.1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c - 14?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 7:47 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 77 - 28 = 3*y, 5*z - 5*y - 60 = 0. Suppose 120 = 5*r - 0*r. Let j = r - z. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 98*o**3 + 3*o**2 + 2*o. Let a(w) = -490*w**3 - 15*w**2 - 11*w. Give -2*a(v) - 11*c(v).\nAnswer: -98*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.8 (b) 4 (c) -1 (d) -2\/27 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a - 3. Let j(i) = 2*i + 14 - 18 - 4*i. Suppose 0 = -3*y - 5*v + 11, -6*y + 6 = -4*y + 2*v. Suppose 0 = -y*p + 4*p + 6. Give p*j(u) + 4*d(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 22, 3\/56, -0.028 in increasing order.\nAnswer: -0.028, 3\/56, 1\/3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1028?\nAnswer: -1028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 811, 1610, 2411, 3214, 4019, 4826?\n\"Answer: f**2 + 796*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 33 (b) -0.6 (c) -6117\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 7*f**2 + 2. Let p be w(-7). Suppose -h + 3*g = -p*h, -5*g = 4*h. Let s = -2.1 - -2. What is the nearest to -0.1 in h, 1\/2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - (-23 + 33)) + 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11686, -23251, -34790, -46297, -57766, -69191, -80566, -91885?\nAnswer: -103142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2\/5 - 44*h + 2904\/5.\nAnswer: -4*(h - 11)*(h + 66)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.4 - -3.4000002. Round w to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-12)\/(-4)*(-3)\/3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -985 + 1007.05. Let j = t + -22. Let w = 595.1 - 594.7. What is the third biggest value in w, j, -6\/13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -103 - (2 + -2) - 5. Let u be j\/26 - -4 - 750\/(-312). Let 27\/2 - 3\/4*p**3 - 3*p**2 + u*p = 0. What is p?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3743173 years to centuries.\nAnswer: 0.003743173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/384*16)\/(5\/3840*2).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.43 * -217784.\nAnswer: 311431.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 5*c - 4. Let t be d(4). Suppose 3*n = q + 3*q + 30, t = -2*n + 2*q + 20. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 9 = -y - 2*l, 0 = -3*y + 3*l - 6. Let c be (y + -4)\/(-3 + 1). Let a be (-10)\/2 - (-3 - -1). Put a, -5, c in decreasing order.\nAnswer: c, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + -1. Let g(t) = -t - 13. Let x be g(w). Suppose -4*p - 4*b - 4 = 0, 4*p + b + 4 + 3 = 0. Sort x, p, 0 in ascending order.\nAnswer: x, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*z**2 + 8*z**3 - 109*z**2 - 145*z**2.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -6*t + 4. Let q be d(1). Is -4 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, 0.05, -2.373, 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*u**6 - u**4 + 271578*u**3 + 3592122*u**2 wrt u?\nAnswer: 720*u**3 - 24*u + 1629468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**3 - 5*a**2 + 9*a. Let z(m) = 5*m**3 - 8*m**2 + 13*m. Calculate -8*n(w) + 5*z(w).\nAnswer: w**3 - 7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**4 - 8*o**2 - 3 + 3*o + 5*o + 15*o**2 - 137*o**3 + 138*o**3 - 9*o**2 to q*o + f + s*o**4 + i*o**2 + t*o**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 1:32 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*((1 + sqrt(272))*-3 + -2)*-4)**2.\nAnswer: 491520*sqrt(17) + 10129408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32.34 + -0.66. Which is smaller: -0.1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 23 = 3*l, 2*l + 30 - 7 = -5*i. Let w be ((-6)\/(-9))\/((-1110)\/(-405)). Which is bigger: w or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -2\/15957 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/70 and (-21)\/(-70) - (-18)\/(-30)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188898340 divided by 137.\nAnswer: -1378820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/(-10))\/(2\/(-8)). Let h be 1\/4 + 22\/8. Let v(n) = n**3 + h*n - 4*n + 0 + 1. Determine v(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -13927*u - 13921. What is l(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84452.\nAnswer: 2, 43, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 l when two letters picked without replacement from {l: 9, c: 7}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l + 18. Let t be x(8). Let o(y) = 1. Let z(r) = r + 1. Give t*o(d) + z(d).\nAnswer: d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - (-332 + (-1 - -8)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 969436 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + 40. Let z = k - -77. Which is greater: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/4 (b) -0.2 (c) -2\/7 (d) -3\/377473\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -0.4. Let c = 45.8 + -45. Let w = t - c. What is the second smallest value in 3\/2, w, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/2058 and 21\/4?\nAnswer: 4116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 84*h**3 - 14*h**2. Let z(j) = 17*j**3 - 3*j**2. Suppose 192*o + 16 = 189*o + 5*p, 0 = -4*p + 20. Calculate o*i(x) - 14*z(x).\nAnswer: 14*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 divided by -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10112468.1 rounded to the nearest 1000?\nAnswer: -10112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3473 * -4.\nAnswer: -13892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((12 - 4) + -4 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/2 - 158*q**2 - 51198*q + 16179840.\nAnswer: (q - 318)**2*(q + 320)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1042 + 0*q**2 + 0*q**2 + 3842*q**3 - 3102*q**3 with respect to q.\nAnswer: 2220*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5478 and 1111.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4 (b) 0.4 (c) 13 (d) 8\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 3*h + 32 = 5*b, 5*h + 2 = 7 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**2 - 6*f - 2. Let k be c(-2). Sort k, 11, 1, 0 in decreasing order.\nAnswer: 11, 1, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 7:50 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (3 - (-8 + 3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010 - 1000000001110001?\nAnswer: -1000000010101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**3 - 2*h**3 + 4*h**3 + h**2)*(-30*h - 141*h - 68*h).\nAnswer: 239*h**4 - 239*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 14008*x - 98053. Give z(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (2 + (-4 - 2)). Let v(f) = -2*f**3 + 9*f**2 - f + 2. Suppose 0 = 62*z - 38*z - 1200. Calculate the least common multiple of v(k) and z.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -182 greater than -0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -22) + (129 + -201 - -6)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13493 divided by -78\nAnswer: 13493\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12673 - 760303\/60. What is the common denominator of 157\/66 and l?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/72)\/((-12)\/48).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5\/3)*((q*q*q**(4\/3)\/q)\/q)\/q)**(-14)*(q**(-3\/7)\/(q**(-8)*q))**(-37) assuming q is positive.\nAnswer: q**(-4714\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -9976, -2\/15 in increasing order.\nAnswer: -9976, -2\/15, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -6 + 1. Suppose l + 5*u = 188 + 135, 0 = a*u - 20. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a milligram in micrograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w - 8*w**3 - 12 + 10 + 2 to j*w**3 + d*w + m*w**2 + h and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148 = 2*n + 11*y, -448*n + 431*n + y = 65 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*q - 51 + 24 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g + 76. Let l(q) = 5*q**2. Let z(w) = w**2 - 1. Let o(s) = l(s) - 4*z(s). Let v(i) be the first derivative of o(i). What is d(v(x))?\nAnswer: -4*x + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 14 - 32*y + 8.\nAnswer: -32*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 4*b**2 + 7*b - 6. Let l be -4 + 1 - (-1 + -6). What is the remainder when u(l) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 553, 4819, 16335, 38713, 75565?\n\"Answer: 602*x**3 + 13*x**2 + 13*x - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 greater than 4089\/1088?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 142235 - 1702879\/12. Let r = 331 - k. Calculate the common denominator of r and 81\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/3 (b) 0.145 (c) 5 (d) -0.132\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence du when two letters picked without replacement from {d: 1, u: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10 + 0 + (5 - 3). Let m = 4 + j. What is the nearest to 0.1 in m, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1089627.\nAnswer: 3, 7, 11, 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 13*r + 1. Let v(z) = 3*z + 3. Let h(k) = 10*k + 10. Let s(t) = 2*h(t) - 7*v(t). Let w(x) = m(x) + 2*s(x). Suppose 37*j - 37 + 0 = 0. Give w(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 g when two letters picked without replacement from {x: 2, g: 4, j: 1, r: 1, b: 1, a: 3}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/12)\/((-15)\/(-16)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -312, -3, -1204, -2, -9, 5.\nAnswer: -1204, -312, -9, -3, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20200 (base 4) in base 12?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5617 by 142522.\nAnswer: -5617\/142522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 3, -5\/4, 8\/7, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 0.3, 0.2, -274, -84, 1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10425 and 375.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 = p - 26. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, p: 2}. What is prob of picking 1 p and 1 e?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 15\/7*r**3 - 3\/7*r**2 - 15\/7*r + 3\/7 = 0.\nAnswer: -1, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6057904 is divided by 12388.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -302, -600, -896, -1190, -1482, -1772, -2060?\n\"Answer: u**2 - 301*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -316*m**5 - 462*m**5 - 116*m + 75*m**5 + 112*m - 23 wrt m.\nAnswer: -14060*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = 26 - 76. Suppose -481 = -r*l + 419. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 6 = -5*n - 4, -2*n + 16 = 3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**8\/112 + 3*g**6\/40 + g**5\/10 + 2*g**2. What is y in r(y) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 - (-15 + 10))*(-6)\/24. Find z such that -1\/2*z**2 + j + 1\/2*z**3 - 1\/2*z = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + m**4 + 1)*(-m + 4*m - 39*m) + 14*m**5 + 18*m**5 + 5*m**5.\nAnswer: m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v - 6. Suppose 7 + 6 = c. Let o = c + -13. What is r(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 94 = -n, -3*n + 0*n = -2*f + 48. What is the remainder when f is divided by 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 + -25. Suppose x = 3*a - x - 24, r = a - 5*x. Find the third derivative of 2*k**2 - 23*k**3 + 24*k**3 + a*k**2 + 0*k**2 wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*x = 0, 5*x + 4 + 1 = 0. Let l(o) = -5*o - 4. What is the least common multiple of 9 and l(u)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2644806 and 5886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 30737895?\nAnswer: -30737895.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1041749779+2.9\nAnswer: 1041749781.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + -517993269011?\nAnswer: -517993269010.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = f - 2*n - 8, f = -4*n - 16. Suppose f = 6*q - 2*q + 120. Let z = q - -143. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*l**3 - 11*l**2 - 18*l**3 + 40*l**3 + (l - 1 + 1)*(2*l**2 + 0*l**2 - l**2) - 1 + 1 - 2*l**3.\nAnswer: 15*l**3 - 11*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b. Let h = -1 + 3. Let i(y) = -h*y - y + 4*y. Give c(i(x)).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 541.4492 days in seconds?\nAnswer: 46781210.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - -0.3. Suppose -5*l + 8 = -l. Suppose 3*x = -4*w + 8 + 3, -l*w = -4*x - 22. Which is the smallest value? (a) w (b) -4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*t - 88*t = 110 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.6425 - 0.0725. Let u = -0.43 - s. What is the closest to 1\/5 in -21, u, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00761 rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -7. Let l = 4232 - 4226. What is the nearest to l in 0.4, 5, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 + 2. Suppose -5*a + 88 = -13*a. Let k(z) be the second derivative of 3*z**5\/10 - 5*z**2\/2 - z. Give a*g(q) - 4*k(q).\nAnswer: -2*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 6*j - 7. Let b be 33\/(-5) + (-6)\/15. Let a be d(b). Let z(v) = v**2 + 1. Let g be z(1). Sort g, 4, a in decreasing order.\nAnswer: 4, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 5*n - 30 - 130, -4*w = 4*n - 116. Let o = n + -30. Suppose -o*a - 3*y - 4 = -10, a + 3*y = 6. Solve a*m + 15 = 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*h - 23 + 23 + (-1 + 1 - 3)*(3*h - 3*h + 2*h) + 0*h + 3*h - 4*h.\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2 + sqrt(17) - sqrt(17)) + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 - 16 - 10*j**2 - 93*j**3 - 5*j**2.\nAnswer: -93*j**3 - 18*j**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42 + 4*x**3 - 71*x - 83 + 41 wrt x?\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*t + 23 = -0*f, -f + 4*t - 13 = 0. Let m(z) = z**2 - 10*z + 12. Let b be m(9). Solve -s + b*p + 0*p + f = 0, 1 = -s + p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6523.005 rounded to the nearest 10?\nAnswer: 6520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 0*x + 8*x + 20 + 36.\nAnswer: 6*x + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 103 + -99. Suppose 4*x + 3*n = -1412, 0*n - 1420 = g*x + 5*n. Let h be (18\/(-10))\/(15\/x). Is h bigger than 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -142 or -422\/3?\nAnswer: -142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-630)\/((-10)\/((-160)\/(-24)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 441.7058 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 - 4*k**2 + 3*k**2)*(12*k - 54*k - 3*k).\nAnswer: 45*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.02 from -2.339.\nAnswer: -2.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/3936 and 69\/94792.\nAnswer: 1137504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((((sqrt(132) - (-2*-1*sqrt(132) + sqrt(132))) + sqrt(132) - sqrt(132)) + sqrt(132) - sqrt(132))*-6)\/(sqrt(9)\/sqrt(3)*-4 + -2*sqrt(147)))**2.\nAnswer: 352\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u - 670085*u**2 - u - 2*u + 668361*u**2 in the form n*u**2 + i*u + x and give n.\nAnswer: -1724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 + 60.9. Let s = i + 1.2. Let g = 6 - s. Which is the nearest to g? (a) 3 (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62767 = 33*r - 43526. What is the thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*g**3 + 22750572233*g**2 - 22750572233*g**2.\nAnswer: 117*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122574, -122587, -122600?\nAnswer: -122613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 99 - 103. Let s be 8\/44 + ((-138)\/33 - f). Sort s, 5, 4, -3 in decreasing order.\nAnswer: 5, 4, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2102 (base 7) to base 10\nAnswer: -737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2860 divided by -260?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/163 (b) 10\/9 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -15060\/7 (b) 0.1 (c) 73 (d) -3 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -221189 divided by -9\nAnswer: 221189\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 44803, 88608, 132429, 176272, 220143, 264048?\n\"Answer: c**3 + 2*c**2 + 43792*c + 1008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = l - 2*x + 60, 5*l = -5*x - 260. Let k = 91 + l. Let w = k - 29. Solve -3*b - 3*r + w = -8*b, 0 = -b - 3*r - 10 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -4 + -1 + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-6239573.1\nAnswer: 1871871.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of 25\/6*b**3 - 7\/40*b**6 + 0 + 0*b + 0*b**4 - 25*b**2 + 0*b**5. Differentiate k(n) wrt n.\nAnswer: -63*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -89 - 55. What is the remainder when ((-50246)\/444 + 78)\/(1\/(-6)) is divided by s?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75559 times 0.78?\nAnswer: 58936.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) -1 (b) 0.4 (c) 4\/9 (d) -3 (e) 0.5 (f) 5920\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 2*b - 3. Suppose -7*r = -11 - 24. Suppose -5 = -5*y, -1 = -2*h + r*y + 2. Let s be d(h). Calculate the highest common divisor of 35 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*y - 1 = -3, -3*t = -5*y + 21. Let x be 2\/(-4) - 5\/t. Let m(s) = -28*s + 18. Let a(w) = 32*w - 20. Let g(i) = -8*a(i) - 9*m(i). Calculate g(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -1*88\/(-2). Suppose -o = -5*v + 71, 0 = -v - 2*v + 5*o + q. Calculate the greatest common divisor of v and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (-4 - -5 - 1)\/1. Suppose -3173 = -2*l + j, 2*j - x*j - 1589 = -l. What are the prime factors of l?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/10 - 5)\/(1 + 353\/5).\nAnswer: -2\/179","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p - 1. Suppose 20 = -l - n, -5*l + 0*n = -2*n + 79. Let d(c) = 2*c - 3. Give l*a(v) + 6*d(v).\nAnswer: -5*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 55 - (103 + (-48 - -28))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -411495 at least as big as 381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -11)*(-16)\/24?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - 14 - 26 - -34?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1092)\/60)\/13)\/(3*1\/15).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -74*t - 664. What is u(-10)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -50, -116, -182, -248, -314?\n\"Answer: -66*v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-3))\/(8\/(-40)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612) - 6*(sqrt(612) + 2) - (-5*(-2 + sqrt(17))*-1)**2.\nAnswer: -537 + 70*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -3*s**4\/4 + 8*s**3\/3 - 3*s**2\/2 + 5*s. Let g(p) = -26*p**2 + 48*p - 10. Let k(i) = 17*a(i) - 6*g(i). Is k(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-44) - 24\/(-11). What is the derivative of -1 + 2*o**4 + q - 5 + 1 wrt o?\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**2 + 4*u**2 + 0*u**2 + (u**2 - 3*u**2 + 0*u**2)*(-2 + 1 + 2) - 2*u**2 + 2 - 2)*(-2 + 2 - 4*u**2) + (u**3 - u**3 + u**3)*(-u + 2*u + 3*u).\nAnswer: 24*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6*n - 5 = 0. Suppose -37 = -3*p - n. Suppose -z + p = -0*r - 3*r, 0 = -r - 3. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24050461619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.5 - 0.5. Let i = -2 - m. Let v(u) = u**3 + 16*u**2 - 33*u - 720. Let s be v(-15). Which is the biggest value? (a) s (b) -1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-20))\/(5\/25). List the prime factors of s - 5 - (-672 - -22).\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1279, 4839, 10773, 19081, 29763, 42819?\n\"Answer: 1187*t**2 - t + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 2*b + 66, -78 = -4*s + s - 4*b. Let d = s - 10. Suppose -4*a + 6 = -38. Calculate the remainder when d is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*f**4\/9 + 44*f**3\/3 + 24*f**2.\nAnswer: -4*f**2*(f - 18)*(2*f + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*10\/(-25)*(-48)\/(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.37389 to zero decimal places.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11048, 22200, 33358, 44522, 55692, 66868?\n\"Answer: 3*r**2 + 11143*r - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a - 6. Suppose -7*h + 40 = -2*h. What is the least common multiple of -2 + (-4 + 4 - -12) and u(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -318 - 17?\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 163 + -162.9. Which is the closest to k? (a) -0.2 (b) -0.02 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**2 + 5757912*y - 86367780 = 0 for y.\nAnswer: 15, 1439463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8592*p + 2171*p + 2161*p + 2105*p + 2153*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 12 = -15*s. Let c be ((-88)\/s)\/(1 + (-4)\/6). Is (c + -284)*-1*(-2)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -783 (b) -12 (c) 0.3 (d) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**3 + 2*k**2 - 1. Let y be p(1). Let a be y\/(-8)*(5 + -3). Let t = -5 - -4.9. What is the nearest to t in 1, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.975 + -2. Let x = 0.0422 + -0.0882. Let t = x - b. What is t rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1573 <= 1573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z + 10936 = 10796 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 12:40 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -a, 17 = -p + 4*a - 9. Let n(m) = -16*m - 195*m + 10 + 212*m. What is n(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(6664\/(-153))\/(-28)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10258)\/(-328256)*8*6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1448, 2, -4, -2.\nAnswer: -4, -2, 2, 1448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13011*z**5 - 9*z**4 + 196408*z.\nAnswer: -260220*z**3 - 108*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 152, 156, 162, 170, 180?\n\"Answer: x**2 + x + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7978+13278849\nAnswer: 13270871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -11*k. Let r(d) be the third derivative of d**5\/120 - 7*d**3\/6 - 5*d**2. Let q(p) be the first derivative of r(p). What is q(w(u))?\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 2*m + 26 = -f, 12 = 4*m. Suppose 4*z = -5*g + 173, -g - f*z = 3*g - 140. Calculate the highest common divisor of 11 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 0. Let f be (-86 + 69 - (-124)\/8)\/(21\/8). Which is the closest to 1? (a) 2.4 (b) p (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/3))**6*f**14\/(f\/(f\/(f*f**(-2\/27)))) assuming f is positive.\nAnswer: f**(461\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-7068)\/(-152))\/31)\/((18\/40)\/3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 238 and 80563?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 1. Let q be (-3)\/12 + 26\/i. Let c be (-52)\/(-16) + q\/4. Solve 2*x = -3*l - 11, 4*l = 2*l + c*x - 18 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/16386 and 109\/7013208.\nAnswer: 7013208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*x**4 - 7*x**4 + 6*x**4 + 2*x**4 + 3*x**4 - 3*x**4 + (189 - 189 + 11*x)*(2*x**3 + 7*x**3 + x**3) as k*x**4 + n + g*x + c*x**3 + t*x**2 and give k.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -54*i - 348. Calculate g(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 - 9*v**2 - 4*v + 3*v + (3 + v - 3)*(1 - v - 1) in the form m*v**2 + t*v + x and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, e: 2, h: 5, w: 1, t: 1}. Give prob of picking 1 w, 1 j, and 1 e.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 8:03 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 545110000 rounded to the nearest 1000000?\nAnswer: 545000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -677*x**4\/2 - x**3\/3 - 3301*x**2\/2 - 58*x + 24. What is the second derivative of r(w) wrt w?\nAnswer: -8124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 6*k - 2. Suppose 10 = 4*v - 6, -5*h + 26 = 4*v. Let m be ((-28)\/(-8))\/(h*1\/(-4)). Calculate p(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 16. Let f be h(-11). Suppose -4*z + 87 = -4*i + i, -f*i = -3*z + 57. Solve 4*k + 15 = q - 5, 0 = -5*k + q - z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65 + 451. What is the second derivative of 0*z**2 - 392*z + 6*z**2 + a*z wrt z?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 11) to base 15.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 0*l**5 + 41 + 0*l + 0*l**2 - 8*l**6 + 73\/3*l**3 + 0*l**4. Find the third derivative of u(x) wrt x.\nAnswer: -2880*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -36, -66, -130, -240?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-4))\/((-45)\/(-24))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 70484081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 462*o - 7276.\nAnswer: -2*(o - 214)*(o - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*d = 4*c + 55*d - 11, 4 = 4*d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*(i*i*(i*i*i**(-18))\/i)\/i*i*i\/i**(-1\/3) assuming i is positive.\nAnswer: i**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4 - 11. Suppose k*d - 2*d = 9. Let y(o) = -o**3 + 6*o**2 - 4*o + 3. What is the smallest common multiple of y(d) and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 + 1650*r**3 + 11345*r**2 + 12840*r - 25840.\nAnswer: 5*(r - 1)*(r + 4)**2*(r + 323)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*i - 0. Let x be 3*i\/((-1)\/10). Let s = x - 15. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10632 - 95930\/9. Let t = k + 2737\/72. Calculate the common denominator of 69\/10 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 11*k - 10 + 7 + 5*k**2 + 5. Let x(f) = 6*f**2 + 12*f + 1. Let s(p) = -4*x(p) + 5*y(p). Suppose 5*v + 49 - 19 = 0. Determine s(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**4\/12 + u**3\/3 - 3*u. Suppose 0 = -5*j + 7 - 27. What is the units digit of m(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -33.3. Let n = m - 1.8. Let u = 2.49999987 - n. Round u to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/2592*-27)\/(88\/(-6)).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - ((-2 - (-18 + 7)) + -16).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 4. Let n(r) = -2*r - 6. Let w be n(-6). Let t = 10 + w. Calculate the remainder when t is divided by j(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*u**2 + 14*u**2 - 11*u**2)*(2 - 2 + u**3)*(1 - 2 - 8).\nAnswer: 72*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12178 - 402163\/33. Let q = f + 26\/3. Let h = 131 + -130.5. What is the nearest to -2 in q, h, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4))**34*(i\/i**(3\/5))**(-29) assuming i is positive.\nAnswer: i**(-738\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 1. Let c be 9 + -10 + (1 - -3). What is the third biggest value in o, 5, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2. Let c be (16\/12)\/(2\/3). Let y(h) be the second derivative of 0 + 0*h**2 - 1\/2*h**3 + c*h. Calculate v(y(i)).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3619)\/21)\/(2\/(-6)). Let f = o - 26. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 12 - -7 - (1 - -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 + 2*l**3 - 10 + (0*l + 0*l - l)*(0*l**2 - 3*l**2 + l**2) in the form y*l + n*l**2 + a*l**3 + o and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -1967*c + 1970. Let r be o(1). Solve 3*m - 3 = b + 5*m, m = r*b - 19 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(275) + 2)**2 + 4 + -1 + (2*sqrt(1100)*1)**2.\nAnswer: 40*sqrt(11) + 4694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3111490 and 19270?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -118, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0008 - 0.7.\nAnswer: -0.7008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/18 and 2\/7 + 339\/210.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 530.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(1216))*-3 - -6*(sqrt(1216)*2 + sqrt(1216))) + 0 - (sqrt(1216)*4 + -1 + (sqrt(1216) - (sqrt(1216) + -3 + 3))))**2.\nAnswer: -352*sqrt(19) + 147140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 46?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.220064 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1*sqrt(288) + sqrt(288) + sqrt(288))*6 - sqrt(288) - 1*sqrt(288)*2)**2.\nAnswer: -324000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 608*t**3 + 11*t**2 - 11*t - 11. Let b(n) = 305*n**3 + 6*n**2 - 6*n - 6. Calculate -11*b(k) + 6*r(k).\nAnswer: 293*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 751 + w - 753 + 3*w - 2*w.\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q + 0*q - 4*q)*(-1 - 4 + 3)*((0 + 3 - 4)*(-2 + 1 - 1) + 4 - 6 - 6)*(7*q + 33*q - 21*q) in the form i + c*q**2 + r*q and give c.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 3*o = 2*o + 31, 0 = -4*y + 2*o - 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 11:36 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/9*3 + -4. Which is greater: 1\/58 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g**2 - 7*g - 3. Let y(a) be the third derivative of a**5\/15 + 7*a**4\/24 + 2*a**3\/3 - 11*a**2. Let p(j) = 5*v(j) + 4*y(j). Give p(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -221 - -1103. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324)\/(sqrt(54)\/sqrt(6)))\/sqrt(12).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479900483.\nAnswer: 193, 2486531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q + 3 = -2*y, 21 = 3*q - 2*y. Let n = 15 + q. Suppose 5*p - n = 36. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31.95 + -32. Which is the nearest to -0.2? (a) 5 (b) u (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(d + 11 - 11)*(-3*d - 7*d - 4*d).\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*v - 323 = 0, 0 = 3*o + 2*v - 218 - 25. Let z = 59 - o. What are the prime factors of z\/(-14)*189\/6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3224 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 16\/77 (b) 0.1 (c) 4 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-9 + 4)) + -2 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h + 2*h = 6120. Let x = h + 350. Solve x*a = 6*a + 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**2 + 19*z - 80. Let m be h(7). Let y = -7 + 12. Suppose -m = -y*s + 295. What is the remainder when s is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 1:18 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 50, 3, 3\/8, 2\/5 in descending order.\nAnswer: 50, 3, 2\/5, 3\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1860*g**3 + 3504*g**3 - 1829*g**3 - 6 as h*g**3 + x*g + u*g**2 + a and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -30*q - 1. Let z(w) = 2*w**2 - 6393*w - 2. Give s(z(d)).\nAnswer: -60*d**2 + 191790*d + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 187659943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5636 from -0.5.\nAnswer: -5636.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - l - 2*l - 1572 = 0, 4*l = 5*o - 2622. Is 527 less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 17, -20, -57?\n\"Answer: -37*k + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9 - 4\/4*-2. Let a(i) be the third derivative of i**5\/60 - 5*i**4\/12 - 13*i**3\/6 + 13*i**2. Give a(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -252*o**4 + 61*o**2 - 18*o**2 - o**3 - 23*o**2 - 19*o**2 - 2 in the form t + w*o**3 + k*o + a*o**4 + r*o**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*5606134\nAnswer: -1121226.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 320824.5 days?\nAnswer: 27719236800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 0 + 11\/24*i**4 - 25*i**2 + 1\/60*i**5 + 0*i - 1\/2*i**3. Is x(-16) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 1144*m - 3867. What are the prime factors of q(8)?\nAnswer: 5, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5723 divide 2977573886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 11\/6*x**3 - 1\/12*x**4 + 7*x + 0 - 11*x**2. What is the units digit of v(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*g + 13145, 5*g - 16902 = 5*q - 3712. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 74a195?\nAnswer: 74a19a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.36, 1, 1\/10?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-18))\/(-1*22\/11)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2300303223 (base 4) to base 11.\nAnswer: -455117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -206.92 + 207. Which is the fourth smallest value? (a) f (b) -1\/2 (c) 0 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9966 and 4.\nAnswer: 19932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -4*n**5\/3 - 7040*n**4\/3 + 9898060*n**3\/3 - 59084440*n**2\/3 - 22996512*n = 0.\nAnswer: -2684, -1, 0, 7, 918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 884476182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3)\/(-4)*(-166)\/(-6) and (-774)\/24 - -32 - ((-56)\/288 - 2\/8).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-28) + 6\/21)*4. Suppose 0 = -5*j + m*q + 112, 0*j + 36 = 2*j - 3*q. Is 15 a factor of -10*1\/((-4)\/j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 78 and 596531.\nAnswer: 3579186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-229*v**2 - 231*v**2 + 441*v**2)*(-3 - 1 + 2) - v**2 - 3*v**2 + 0*v**2 + 0*v + 0*v - v**2.\nAnswer: 33*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (85 - 131) + 2 + 60.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 99, 177, 265, 351, 423, 469?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*x*x**(2\/15)*x))**32 assuming x is positive.\nAnswer: x**(-1504\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10, w: 4, k: 4, p: 1}. Give prob of sequence krwp.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j**2 + 6. Let r(u) = -3*u. Calculate k(r(b)).\nAnswer: -36*b**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 66609, 133191, 199747, 266277, 332781, 399259?\n\"Answer: -13*r**2 + 66621*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f*f**0*f)))\/f)**(4\/23)\/((f*f*((f*f**(-12)\/f)\/f)\/f)\/f**(-5\/4)) assuming f is positive.\nAnswer: f**(1005\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 363639, 363567, 363377, 363009, 362403, 361499, 360237?\nAnswer: 358557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1506411*r + 2313949?\nAnswer: -1506411","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -738 - -743. Find h, given that 0*h + 0 - 6\/5*h**3 + 2\/5*h**2 + 6\/5*h**4 - 2\/5*h**d = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*h + 5*d, -3*h - 5*d - 4 = -4*d for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 3*f = -27. Let v = f + 6. Let d = -861 + 857. Which is the closest to v? (a) 2 (b) d (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {k: 2, g: 7, h: 1, d: 3, i: 7}?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.40038 - 0.03422. Let i = q + 0.0346. What is the third smallest value in -0.2, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a - 2 - 35732*a**3 + 27453*a**3 + 132*a**2 - 132*a**2 to u*a**3 + j + i*a**2 + g*a and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -200*o**3 - 2*o**2 + o. Let z(t) = -t + 5. Let n be z(0). Let u = n + -7. Let w be f(u). Round w to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93 - 93. Suppose -3*h - u + 12 = -0*h, -3*u = 0. Suppose -h*a + 6*a - 24 = s. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 44.4887.\nAnswer: 40.4887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.2, 22.1, -0.4, -2\/35 in decreasing order.\nAnswer: 22.1, 1, 0.2, -2\/35, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1146 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 53, 109, 165, 221?\n\"Answer: 56*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -24*s + 33. Let f(p) = -3*p + 4. Let n(q) = -33*f(q) + 4*w(q). Is n(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318 is divided by 103.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.37 - 1.87. Let k be ((-6)\/4)\/((-33)\/4). Suppose 0*q - 4*j = 3*q - 2, q + 1 = -j. Which is the biggest value? (a) q (b) o (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53130600, 53130588, 53130576, 53130564?\nAnswer: 53130552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 130 = 2. What is the smallest common multiple of 24 and v?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nshyhsshsn. Give prob of sequence yss.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19789670501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2140 is divided by 1126.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**10\/(t\/(t**(1\/3)*t)))\/(t**(-1\/12)*t\/t**(3\/7)*t) assuming t is positive.\nAnswer: t**(743\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3076.5 * 0.12516.\nAnswer: 385.05474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**4 + v**3 - v**2 + v + 1. Let g(f) = f**5 + f**4 - f**2 + f + 1. Let r(t) = -2*g(t) + 2*w(t). Factor r(o).\nAnswer: -2*o**3*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384*z + 4442 = 101*z - 3908 + 2973 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*q = 30*q + 296. List the prime factors of q.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, l: 8}. What is prob of sequence lv?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-50)\/(-56))\/(6\/(-24)) and 11\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 5*t + 1. Let l(u) = u**2 + 5*u + 1. Let r(d) = d**2 + 9*d + 6. Let v be r(-9). Let x(n) = v*l(n) - 5*z(n). Give x(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ys when two letters picked without replacement from {s: 2, r: 1, m: 1, y: 4, p: 8}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.172921+1471\nAnswer: 1470.827079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -76828343*i**4 + 3012*i**2 + 361*i - 1 wrt i.\nAnswer: -1843880232*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1000 - (4 - 4 - 4). Let b = 994 + s. What is the biggest value in 11, b, 3, -0.5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -22*i**2 + 2461*i + 310. What is z(112)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*v - 5\/6*v**5 + 0 - 430*v**3 + 1200*v**2 + 130\/3*v**4.\nAnswer: -5*v**2*(v - 40)*(v - 6)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) 2\/7 (c) -239\/2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 567 and 216.\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 204737662 to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(96830\/(-4232) + 24) - 13?\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -40*d**2 + 537*d - 10. Calculate g(13).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 g, and 1 k when three letters picked without replacement from {d: 1, m: 1, x: 1, g: 1, k: 2, e: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 - 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 1\/29, -0.5, -1\/5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5994 - -9147. What are the prime factors of h?\nAnswer: 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/2, 14\/9, 55, 107, 5\/6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 4*z**2 + 2*z + 1. Suppose -5*k = r + 13, -4*r - 9 = -3*k + r. Let b be (-91)\/26 + (-1)\/k. Determine p(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**5 + b**5 + 2*b**5)*(-15289 + 63241 - 32560).\nAnswer: 15392*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 5:49 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12 - (-9)\/(1 - 4). Let j be (-6)\/l - 8\/(-30). What is c in 1\/3*c**5 + 0 + 0*c**4 + 0*c**2 - j*c**3 + 1\/3*c = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 538471.169?\nAnswer: 538465.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/182*13*4. Factor 0 + 0*t - 1\/5*t**v.\nAnswer: -t**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qquuuquuqq. Give prob of sequence uuq.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2150 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 1767*k - 496725. Calculate v(281).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 173664?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2606716325 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p**2\/3 + 44518*p + 1486389243 = 0. What is p?\nAnswer: -66777","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-3875)\/(-9300))\/(0 - (-10)\/16)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2393 + 15.8493. Let w = d + -2.21. Round w to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, -4\/7, 0, -1\/10 in increasing order.\nAnswer: -4\/7, -1\/10, 0, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 630000 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 492915083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68\/(-578) - ((-8985)\/(-2380) - 4))\/(8\/(-192))?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t - t + 0*t)*(3 - 4 - 5 + (3 + 0 + 0)*(1 - 1 + 1)) as x*t + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrr when three letters picked without replacement from {v: 1, m: 2, r: 5, l: 7, h: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 10204*n + 1500637. Calculate m(145).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 47857*u**2 + 143563*u - 5. Determine s(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50 + -30. Let g be 9\/(-6 + -129) + (-44)\/15. Let r be j\/(-15)*1*g. Solve -3*p = -r*c + 29, 5*c - 2*p = -3*p + 22 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494038849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 4*t + t + 53, 5*t + 73 = 4*s. What is the remainder when 41 is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3791735 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 22. Suppose x + 176 = h*x. Suppose x = 2*f + 22. What is the greatest common divisor of f and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 6*n - 5. Let f be n + -1 + -1 + -1. Let w be f*2*1\/(-2). Solve -w*y + 0*y + 6 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i**3 - 2*i**3 + 4*i**3)*(-7 + 25 + 4).\nAnswer: 176*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 a factor of 68750292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 r, and 1 g when four letters picked without replacement from llrmrlgrrrgrmmlrl.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4839270509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b - 501. Let g(p) be the third derivative of -p**4\/6 - 2*p**2 + 8497. What is r(g(u))?\nAnswer: 8*u - 501","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*w - 6 = 15, 4*g + 5*w = 0. Solve -3*l - 4 = g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6697316*j**3 - 4774663?\nAnswer: -20091948*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**3 + 25*f**2 + 10*f + 9. Calculate the lowest common multiple of 183 and p(-12).\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1480)\/16)\/(-5))\/(67\/(-134))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + f, -5*y = -5*f + f + 13. Let m be 2 - (2 - y) - -3. What is the common denominator of 93\/2 and 22\/(-5) + 1\/m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -4. Let r be 7 + 1\/(2 + x). Suppose 0 = -2*p + 2 - r, 0 = 2*d - 3*p - 21. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1188)\/(-2079))\/((-4)\/(-686))*(-3)\/12*2.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 21 - -3*(0 + -1). Solve 4*o + 2*h = d, 3*o + 3*h = 6*h + 9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven halves of a millennium?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18 - 68)*(0 - 1\/2). Let o = w + -7. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**6 + 46860*i**5 - i**2 - 2*i**4 + 13*i - 46860*i**5 wrt i.\nAnswer: -240*i**3 - 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -135 - -235. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2. Let n(z) be the second derivative of 0*z**2 + 0 + 1\/2*z**3 + z. What is n(c(b))?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 470115291 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 14*k**2 - 547*k + 1060. Calculate n(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 1024*g**2 - 32770*g + 27. Calculate w(32).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-1))\/((-98)\/14)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8181495 or -8181496?\nAnswer: -8181496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d\/d**(-1))\/d)**(7\/5)*d**(-1\/3)\/d**(-5))**(-7\/9))**(-48) assuming d is positive.\nAnswer: d**(12544\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7*w**3 - w**2 + 2*w**3 + 0*w**2. Let y be n(-1). Solve y = -6*b + 2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 325 + -315. Does 8 divide 1379\/21 + -2 - r\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -5*t**5 - 40*t**4 + 50*t**3 + 40*t**2 - 45*t = 0.\nAnswer: -9, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4641 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/95*2650\/(-265).\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from udbddmnbaammbaammm. Give prob of sequence an.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.4 + -31.\nAnswer: -34.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -684*t + t**3 - 679*t + 1363*t.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 + 0*z**4 + 7*z**5 - 11*z**5 + 4*z**4 + 4*z**3.\nAnswer: -4*z**2*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20222121 - 11?\nAnswer: -20222202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -3. Suppose 4 = v*d - 5. Find the third derivative of 2*m**2 + m**4 - 9*m**3 + 9*m**d wrt m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) -30 (b) 0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17152900214 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4, -23*l - 3*f - 503793 = -30*l. List the prime factors of l.\nAnswer: 2, 3, 5, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2111696333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-4)*(6 + 32\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33508098 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 divided by 120208.\nAnswer: -21\/30052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(99)*1)\/((sqrt(9) - (sqrt(9) - sqrt(81)\/sqrt(9)))*-5).\nAnswer: -sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) -79 (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pfffp. What is prob of sequence fpf?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m - 10. Let c(n) = 14*n**2 - 2*n - 1. Calculate the remainder when c(-1) is divided by r(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21347 - 21429 - (2 - -4)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 - 209907801?\nAnswer: -209907800.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 5*b + 4. Let l(m) = -m + 1. Suppose -7*u + 3*u + 136 = 0. Let o = u - 29. Calculate o*l(d) - q(d).\nAnswer: d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 3 - (17 + -17)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 - -22. Is 2 a factor of 5*(-16)\/m - -5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -112.6 (c) 55 (d) 5 (e) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times 0.11?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - l - 6 = 0, c + 4*c = 3*l + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 70 * -9\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30041 (base 12) to base 16.\nAnswer: -f331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -864 + 884. Let z be (-8)\/32 - (-85)\/s. Solve 6*i = 10*i - z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -73*o. Let u be r(-1). Let h = u - 40. Calculate the highest common factor of 231 and h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 (base 7) in base 4?\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -16. Let a(m) = m**2 + 3. Determine a(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/7, -3, -58034, 0.22, 0.3, -1\/4?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -116 * -0.2\nAnswer: 23.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 10:20 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7268 and 4108.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 503256 and 468.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -43. Let j be 1*i - (2 + -2). Let k = j - 17. What is the greatest common factor of 21 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6587*k + 2234*k = 62020 + 46805 for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uru. What is prob of sequence uu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-30)\/(-20))\/(6\/20*1). Suppose 0 = 2*j + 2*l - 16 + 4, x*j = -2*l + 18. Factor 2*r**4 - 5\/4*r**5 - 1\/4*r**3 + 0 + 0*r - 1\/2*r**j.\nAnswer: -r**2*(r - 1)**2*(5*r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i = 22*i + 189. Let u = i + 24. Let m = u - -3. Solve m = -2*h + 3 - 13 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9331 times 128?\nAnswer: 375.4368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*(q*(q*q*q**(-12)*q*q)\/q)\/q*q)\/q**25)\/(q*q\/(q*q*q**(-11)))**(-2) assuming q is positive.\nAnswer: q**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**5\/3 + 10*v**4 + 54*v**3 - 1458*v**2 + 5832*v.\nAnswer: -2*v*(v - 9)**3*(v + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5289 and 71832.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4396 - 2446. Calculate the highest common factor of l and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u - 4. Let s(r) = -1. Suppose -f + 6*f - 20 = 0. Let w = f - 6. Let i(m) = w*s(m) + v(m). Differentiate i(n) with respect to n.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, k: 3, m: 1}. What is prob of picking 1 m and 3 k?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37716?\nAnswer: 2, 3, 7, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/5 - ((-1844)\/(-5))\/(-4) is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 24, 3\/8, -0.3 in decreasing order.\nAnswer: 24, 0.4, 3\/8, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -395, -1357, -3235, -6335, -10963?\nAnswer: -17425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 0.03408969.\nAnswer: 0.13635876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10413141 by 10.\nAnswer: -10413141\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 7*l**2 - l + 9. Let o be z(7). Factor 0*k**o + 0 + 1\/4*k**5 + k**3 + 0*k - k**4.\nAnswer: k**3*(k - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -26*d**2 - 11*d. Let b(z) = -9*z**2 - 4*z. Let w(o) = -8*b(o) + 3*y(o). Let u(s) = s**2. Calculate -5*u(a) - w(a).\nAnswer: a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.7 - -0.3. Let o = 0.11 - 4.11. Let j = o + c. What is the third smallest value in 0.3, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 393 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 121155109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 8*v + 5*v - 105 - 3*v + 7*v. What are the prime factors of p(35)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 15194535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of k**6\/120 + k**5\/12 - 5*k**4\/24 - k**3\/6 + k**2. Let t = 1396 + -1402. Calculate r(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58298.\nAnswer: 2, 103, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 1\/8, -2\/15, -9?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**4\/4 + h**3\/2 + 3*h**2 + h + 6. Let l(w) be the first derivative of d(w). Find q, given that l(q) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 m when two letters picked without replacement from {b: 1, e: 5, g: 3, m: 3}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11413 + 11416. What is the least common multiple of 353 and k?\nAnswer: 1059","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 + -72 + -6 - -32?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(-6)))\/f**(12\/7)*(f**(1\/15)\/f)\/(f\/(f*f**(-9))) assuming f is positive.\nAnswer: f**(-593\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**4 + 36*x**3 - 408*x**2 + 640*x.\nAnswer: 4*x*(x - 5)*(x - 2)*(x + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 651.\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, b: 3}. What is prob of picking 3 s?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y + 10. Let s be w(0). Let u be (-3 - -5)\/(5\/s). Suppose u*d + 5*j = 196, 2*d = -4*j + 67 + 31. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h + 12*h + 1 = 0. Let w(t) = 14*t - 6. Let c be w(h). Suppose -c = -11*l + 7*l. What is the remainder when l is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + -3 + (sqrt(1573) + 1)**2.\nAnswer: 22*sqrt(13) + 1574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 145, 47, -203, -677, -1447, -2585, -4163, -6253?\n\"Answer: -12*l**3 - 4*l**2 - 2*l + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386 is divided by 78.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**3\/7 + 7052*v**2\/7 = 0. Calculate v.\nAnswer: -3526, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-80)\/(-8) - 5089)\/(3*-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 645.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4183\/396 - -2\/99. Suppose 0*p + 4 = 4*p. Find the common denominator of (366\/4)\/((-33)\/p) and t.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14047783986 + 14047783866.00000069. Let u = z - -120. Round u to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 118 = 5*n, n + 5*l = -4*n + 115. Let u = n - 26. What is the fourth biggest value in -1, -2\/15, -3, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 267 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/i**(-2))*i)\/i)**29\/((i\/(i**(-5\/6)\/i)*i)\/(i*(i\/i**(2\/19))\/i))*i**3\/i*i**1\/i*(i*i**0*i)**(2\/33) assuming i is positive.\nAnswer: i**(-73757\/1254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41715*g**4 + 39831*g.\nAnswer: -500580*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3082*l**3 + 11798*l + 452231267 wrt l?\nAnswer: -9246*l**2 + 11798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f - 8*f + 3*f**3 - 13*f.\nAnswer: 3*f**3 - 13*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 482 + -481.9. Put l, -1, -2\/15 in increasing order.\nAnswer: -1, -2\/15, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*q - 3*q - 11*q + (-15 + 26 + 15)*(-q + 2*q - 3*q) + (-1 + 4 - 5)*(2*q - 3*q + 0*q) to the form x + o*q and give o.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 3:33 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 302 divided by 1.\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4 (b) -1 (c) -0.1 (d) 6 (e) 3\/25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 at least 30247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 10*x**2 + 9*x - 34. Let d(c) = -14*c**2 - 8*c + 11. Let t be d(1). Calculate o(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5075?\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/40 + 4\/(-10).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39506 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 1033?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2095 (b) 4 (c) -0.1 (d) 1.49 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22580353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -3\/7 (b) 0.1 (c) 1\/5 (d) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-258258)\/25025 + (-21 - -1)*((-4)\/(-2))\/(-4)\nAnswer: -8\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-213 + 24*j + 213 + (-6*j + j + 3*j)*(-4 + 3 + 3) + 1 - j - 1)*(32*j + 20 + 17*j - 20).\nAnswer: 931*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22494*f**4 + 34*f**3 + 655*f**2 - 2*f + 80 wrt f.\nAnswer: -539856*f + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/10, 16.28, 3.3, -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.01, 5, 0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 11\/30*p**5 + 1\/24*p**4 + 13*p**2 - 1\/6*p**3 + 0 + 0*p. Give v(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13636 + 11512?\nAnswer: 25350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 72 + -72 - 2701\/1. Let v = 4076 + r. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*-1*(-3)\/6. Suppose -z*v - 6 = -33. Calculate the remainder when v is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 13*c + 15 = 0. Let y(z) = -z**2 + 4*z - 2. What is y(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 11) to base 4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2812 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(1 - 12\/(-2)). Let j be v\/(-2) + 8\/16. Let u(k) = -k**2 + 4*k + 1. Let s be u(j). Which is smaller: 2\/11 or s?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1260.4 - -1167. Let m = p - 1.6. Let v = 71 + m. Are 0 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1274)\/(-49)*(-10127)\/(-3211).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.79119, 2, 3 in increasing order.\nAnswer: -0.79119, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (40356\/380)\/((-7)\/((-70)\/18))\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(20\/15)*621\/414\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010609 rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 3543*p + 175997. What is n(49)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(1\/(8\/9*69\/92))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-146)\/2 - -2) + 6\/(-16)*(-78400)\/2940.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 5*g + 15, -3*p - 1 = 5*g + 30 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22 + 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*y - 2 = 0, 5*c + 48 = 2*c + y. Suppose -5*u - 131 = l, 3*l - 5*l = -3*u - 89. Let t = c - u. Calculate the lowest common multiple of t and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 556\/(-2502) + (-1)\/((-36)\/(-46)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -268 - -268.0292. Let m = x + -0.0292201. Round m to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -10*h + 3. Let d(c) be the second derivative of -c**4\/4 + 39*c. Determine f(d(m)).\nAnswer: 30*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(-51*l - 24*l + 36*l).\nAnswer: 78*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96\/(-528)*(2970\/160)\/(-9))\/((-11)\/(-4)).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 143 - 3. Suppose z = 3*n + 23. Suppose -n*b = -6*b + 162. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*2*3 - sqrt(76)) + 1*2*sqrt(76))\/(3*sqrt(256)*-1).\nAnswer: -7*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 484424 and 29065440?\nAnswer: 29065440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 384 divided by 96.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75419 divided by 432.\nAnswer: -75419\/432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*h + 404, 2*k = 3*h - 32 + 212. Let f be (4\/(-6))\/(2\/(-15)). Suppose -f*q + q = -48. Calculate the highest common factor of q and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d + 1. Let f be (-1)\/(-2) + 7\/2. Give p(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 574 and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 2*f**2 + 5*f - 2. Let r be a(-4). Let s = -8 + r. Solve s*t**2 + 0 + 0 + 0 - 2*t**3 = 0 for t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 100 = -21*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (23 - -6) + -57 + -4 + 2 + -1\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 5.97. Let f = -0.03000015 + u. Round f to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 95b + 3?\nAnswer: 95e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007637 to six decimal places.\nAnswer: -0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -220, -440, -660?\nAnswer: -880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38266063*b*g*r**4 - 2*b*g*r + 121*b*g - 99*b*r + b + 12*g*r - 3*g wrt r.\nAnswer: -459192756*b*g*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/127)\/(a*a**(-7)))**36 assuming a is positive.\nAnswer: a**(27504\/127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1148 divide 1139509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 greater than or equal to -399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 28*f + 93. Calculate h(-31).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 75043419397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -16*l + 2. What is d(-9)?\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 16, 2, -1853, 3 in increasing order.\nAnswer: -1853, -3, 2, 3, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 326 a factor of 291607978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 634, 637, 640, 643?\n\"Answer: 3*l + 631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 17*b**2 - 36*b + 2. Suppose -53*l - 1517 - 497 = 53*l. What is x(l)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {s: 4, w: 2, v: 7}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 4)*(-j + j - 2*j)*(107*j - 124*j - 600*j).\nAnswer: 2468*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24598169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109214.\nAnswer: 2, 7, 29, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.042 (b) -1\/5 (c) 2\/7 (d) 280\/3 (e) 7 (f) -5 (g) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 23*k**2 - 3689*k + 11078. Calculate v(3).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 63, 138, 243, 378, 543, 738?\nAnswer: 963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*l + 46*l + 106920 = 0. What is the smallest common multiple of l and 432?\nAnswer: 3888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 113*q**7\/21 + 1384*q**3\/3 - q**2\/2 + 83*q + 1. Find the second derivative of i(r) wrt r.\nAnswer: 4520*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 46, 0.38, -51?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280983292 is divided by 11155?\nAnswer: 11152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.4 and -3?\nAnswer: -10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2046301?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5781969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/6)\/(905\/(-13575))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(70\/40))\/((-76)\/2)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 218, 440, 664, 890?\n\"Answer: o**2 + 219*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 245 + -249. What are the prime factors of ((-8)\/6)\/(j\/1467)?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 32 = -2*h, 3*h = 5*o + 4*h + 80. Let p be 10\/15 + o\/33. Is p at most 0.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(2\/4)\/((-5)\/15). Solve -1\/2*b**a + b - 1\/2*b**2 + 0 = 0 for b.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -596, -581, -544, -473, -356?\n\"Answer: 2*c**3 - c**2 + 4*c - 601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -28*x - 228. Let g(r) = r + 28. Determine g(y(m)).\nAnswer: -28*m - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*sqrt(228)\/(sqrt(144)\/sqrt(48)) + ((sqrt(2736) - (2 + sqrt(2736)*-2 + sqrt(2736))) + 3*sqrt(2736)*5)**2.\nAnswer: -812*sqrt(19) + 790709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -66\/13 and -5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/2*1565\/(-313).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 913537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 40\/50 - (1 - 0). Suppose 32*q - 37*q + 3*l - 40 = 0, 10 = 2*q + 4*l. What is the third smallest value in 0.2, r, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2705138*c**3 + 20715356*c**2 - 10827648*c - 126157824.\nAnswer: -2*(c + 2)*(1163*c - 5616)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-21))\/(6\/(-9*28\/(-24))).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k. Let s(z) = 5*z. Suppose 0 = n + n - 5*m - 4, 0 = 3*n + 4*m + 17. Let j(c) = n*s(c) + 8*y(c). Let d(w) = -15*w**2. Give j(d(t)).\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 25 - 17. Let n(x) = -2*x - 27. What is the remainder when 4 is divided by n(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 7*a**2 + 3*a - 2. Let k be s(-6). Suppose k*f + 17*f - 22*f**2 - 4 - 7*f + 0*f = 0. Calculate f.\nAnswer: 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 10507 + 61157 = 5*d, 0 = -2*d - 4*p + 20254. Is d a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -11*h. Let w(v) = -20*v - 5. Determine w(x(q)).\nAnswer: 220*q - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 148\/5, 6, -4 in increasing order.\nAnswer: -4, -2\/7, 6, 148\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2737565 is divided by 263.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 13*q**2 + q - 19. Determine w(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**0)**(-3\/5))**(-11) assuming n is positive.\nAnswer: n**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*v + 12. Find the third derivative of 0*m + 3*m**v - 2*m + m**2 + 2*m wrt m.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -15\/2635118 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 7. Let s be z(-5). Suppose 5*w = -a + 43, a = s + 1. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 - 16. Suppose -5*v - y = y - 79, 4*y = 2*v - 22. What is the tens digit of j\/((-3)\/v*-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6778*v + 33903. Determine i(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -125*a**3 + 6*a**2 + 2*a + 2431. Let w(u) = u**3 + 3*u**2 + u - 1. Let d(o) = -r(o) + 2*w(o). Differentiate d(g) with respect to g.\nAnswer: 381*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + -12 + 8 - -11) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-5*(-3*-2*sqrt(132) - sqrt(132)))\/((sqrt(144) - sqrt(144)*1 - sqrt(144))\/sqrt(12) - (sqrt(12)*2 - sqrt(12))*2))**2.\nAnswer: 110000\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 6. Let r = 74\/165 - 4\/15. What is the nearest to r in 2\/23, v, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*w = -33*w + 268. What are the prime factors of w?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -965752 or -321?\nAnswer: -321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -371251300 to the nearest 1000000.\nAnswer: -371000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8466 and 221776?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 1971.1, 4, -16, -2?\nAnswer: 1971.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3843 and 441?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3630 and 6705336.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (130\/(-35))\/(555009\/(-5243)).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 6, -5, -759, -0.5, -30, 0.3, 3?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8457101 and 13?\nAnswer: 8457088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 700.80635 - -0.19365. Which is smaller: 0.07 or i?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 2)*(1282*z + 1232*z - 3857*z).\nAnswer: -4029*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3347218 is divided by 3347201?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/321445 and -16\/3639?\nAnswer: 964335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/12 + 7\/4. Suppose 7*h - 107 = u + f*h, 0 = -h - 5. Is 2*1*u\/(-8) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 - 70354*m - 1237421329.\nAnswer: -(m + 35177)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3441*a + 2515*a = 7291*a + 550539 for a.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 - 16*v + 7*v**2 + 13*v**2 - 16*v + 16 - 6*v**3.\nAnswer: -4*(v - 2)**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -15.64 (b) -23 (c) 1\/111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 944929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -338, -395, -452?\nAnswer: -509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - -36. Suppose -6*u + 293 + 127 = v. Calculate the remainder when u is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -1855*t**2 + 39916 - 39916. Let c(j) = -3*j. Determine w(c(y)).\nAnswer: -16695*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**4\/2 + 44*a**3 + 95*a**2\/2 - 241*a - 84 = 0. What is a?\nAnswer: -28, -3, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 2*q + 13, 11*h + 33 = 2*q + 64 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 664.4 + -664.3. Which is the third biggest value? (a) v (b) 89 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009609196 rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13975*a + 3627*a - 952*a - 1 - a**2.\nAnswer: -a**2 + 16650*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5481.168ml?\nAnswer: 5.481168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 133 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 4*j - 6796362 + 6796349, 3*h + 1 = -j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = q + q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1040806?\nAnswer: 2, 13, 40031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 - 25*b + 70. Let y be v(5). What is the third smallest value in 0.12, 2\/11, -0.08, y?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 2*b**5\/35 + 17*b**4\/14 + 10*b**3\/7 - 17*b**2\/7 - 32*b\/7 + 614. Solve m(r) = 0 for r.\nAnswer: -16, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d**2 + d**2 + 2*d**2)*(4 - 2*d - 4) + (-3*d**2 + 2*d - 2*d)*(2*d - 2*d + d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/90 and -137\/48211500.\nAnswer: 144634500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -11*b**5\/20 + 11*b**4\/12 - 64*b**3\/3 - 36. Let u(y) be the third derivative of r(y). What is the derivative of u(k) wrt k?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 74, 78, 84, 92, 102?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 205 + -210. Which is the nearest to -1? (a) 0.0166 (b) l (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11935186 divided by -163?\nAnswer: -73222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 1 + 14*l - 5 to y + b*l and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 25 - 37. Suppose 5*m + y = 27, -c*m + 10*y = 11*y - 17. Solve p + 4 = 3*q, -24 = -m*p + 2*p - 3*q for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.368575439 - 11.\nAnswer: -9.631424561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u**2 + 5*u - 45. Let q be l(-8). Let b = q - 32. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 143, 3, -5, 5 in ascending order.\nAnswer: -5, 3, 5, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238018 is divided by 67?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 331075886 to the nearest integer?\nAnswer: 18195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11\/23 + 1\/46. Which is the smallest value? (a) 5 (b) -0.08 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from pppppwpwww?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -13 + 67 - (-4 - 1) is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p**2 + 14*p**2 + 6*p**2 + p - 2*p**2 - p + (2*p - 2*p + 2*p)*(5*p + 0*p - 3*p) as t*p + l*p**2 + f and give l.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 196 and 343.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3452 is divided by 1625?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 12. Suppose 53 - 67 = -s*r. Solve 0 = -2*a + r - 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 493643.1 months to millennia.\nAnswer: 41.136925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide ((606\/4)\/3)\/1*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 11*v - 6. Sort v, 3, 5, 8 in increasing order.\nAnswer: v, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.13 + 1.23. Let m = -1.7 + 2.2. Let r = -524 - -2095\/4. What is the fourth biggest value in p, r, 0.2, m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 789 - 29 = -34*j for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8690 and 632.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*s**3 + 261*s**4 - 2*s**2 + 2 - s + 73*s**3 + 104*s**3 - 259*s**4 to o*s**2 + c + x*s**3 + b*s**4 + a*s and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 + -3 - 2 - (18 + -13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.354189 nanoseconds?\nAnswer: 0.00000000000590315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51924 is divided by 1685?\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 222025 (base 6) to base 7\nAnswer: 105131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 0*j**5 + 0*j - 3\/4*j**4 + 20\/3*j**3 + 7\/6*j**6 + 151 + 3\/2*j**2. Find the third derivative of o(f) wrt f.\nAnswer: 420*f**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -12, 36, -205\/6, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5760856*v**3 + 165*v**2 - 1443*v?\nAnswer: 34565136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67b7 (base 14) to base 11.\nAnswer: 12581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4 - 17))\/((-5)\/15)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11, 10, 5, -4, -17, -34, -55?\n\"Answer: -2*i**2 + 5*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*v + 42. What is the remainder when v is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1306 and -13\/8.\nAnswer: 5224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -80*f. Let v(x) = -13*x - 14*x - 6*x - 7*x + 38*x. Give v(s(o)).\nAnswer: 160*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 15 = 0, -2*n = 5*k - 2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -25*w**4\/24 - 8*w**2. Let k(f) = -2*f**2. What is k(d(z))?\nAnswer: -1250*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/10*-4)\/((-85)\/(-190400)*-14)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 p when four letters picked without replacement from pjpppjpjpjp?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**3 + 11*c**2 + 23*c**2 - 7 + 7 + 2*c**2 + 5 to p*c**2 + y*c + k*c**3 + t and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 0*g + 2\/3*g**3 + 2 + 0*g**2 + 1\/2*g**4. Factor y(s).\nAnswer: 2*s**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - p - 8 - 1, 0 = 3*p + 9. What is the nearest to -0.1 in 1, d, 3, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-1 + 14 + -15)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -23063325, -46126645, -69189965, -92253285, -115316605?\n\"Answer: -23063320*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2696549 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 210 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(21)\/sqrt(192)).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evhk when four letters picked without replacement from {k: 1, v: 7, e: 9, h: 1}?\nAnswer: 7\/8160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*b - 37*b - g + 12 = 0, -2*g = -b + 21 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*c + 45 = 126 + 346 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10529.\nAnswer: 10529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 299555.37 months to decades.\nAnswer: 2496.29475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -40de (base 15) to base 12\nAnswer: -7b25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 - -40. Suppose 0 = 6*i - 2*i - 20. Let v be (-8)\/i*5\/(-20). What is the smallest value in v, k, 1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 8*d + 2 + 4 + 21 as k + z*d and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -208*t - 7318*t - 4402*t - 5539*t + (-6 + 5 + 0)*(2*t - 4 + 4) to d + z*t and give z.\nAnswer: -17469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/14 - 0 - 75\/231.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/sqrt(200) + (3*sqrt(17))**2 + -2.\nAnswer: sqrt(17)\/5 + 151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*n - 138*n + 15507*n**2 - 7720*n**2 - 7788*n**2 + 70*n.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84593.\nAnswer: 29, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h + 45. Let i be p(-13). Let d be i\/(-12) - 5\/(-2). Suppose -106 = -4*z + a, z + d*a = -0*z + 31. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-216)\/(-144)*1\/6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 4:10 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = l - 3*l. Let j be l\/3 - (-2088)\/54. Let n = -25 + j. Calculate the highest common divisor of 65 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y - 2. Let d be x(0). Is d\/4*(2 - -2) - -290 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 n when three letters picked without replacement from {s: 1, m: 2, n: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 173, 352, 531, 710, 889, 1068?\n\"Answer: 179*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51487 - 35088. Does 27 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -2. Suppose -3*m = 3*j - 5*m - 12, 5*j + 4*m = 42. Let g = j + d. Solve -2*h - 8 = 3*h + 2*w, 16 = 5*h - g*w for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 65?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4.2, -4, 3\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7183 (base 16) to base 11\nAnswer: 1a918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/8, 1\/4, -1018 in ascending order.\nAnswer: -1018, -1, -1\/8, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 10. Suppose 132 = 7*a + 41. Suppose -4*m + 4*q = -20, -16*m + a = -12*m + 3*q. Sort j, m, 31.\nAnswer: j, m, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -3. Suppose 7 = -s + 2. Let k = s + 11\/2. Is w greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 3. Suppose -5*b + i = 198. Suppose 4*t + 3*m + 187 = 26, -5*t - 4*m = 202. Are t and b unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 4*u + 2*u**3 + 0*u**3 - 3*u**2 + 4. Let w be b(4). Solve -w*y - 28 + 8 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 39 - 78 - c + 4*c**3 + 38. Let k(b) = b**2 + 8*b + 11. Let i be k(-2). Calculate m(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -221, 2, 5 in ascending order.\nAnswer: -221, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - -0.4. Let y be (-5)\/((-105)\/27) + (-3 - -8). Let q = -48\/7 + y. Which is the closest to 0? (a) 3\/5 (b) q (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 32, 52, 70?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**2 + 367*n - 1185. Determine r(119).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 1570*n**3 + 782*n**3 + 786*n**3 + 2 + 17*n + 9*n**4 to the form b + i*n**3 + a*n**4 + m*n + h*n**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -8841426*r. Let f(m) = -5*m**2. Determine q(f(y)).\nAnswer: 44207130*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39750 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/4)*m*m\/m**3)\/(((m\/(m**(-5)\/m)*m)\/m)\/((m\/m**(-6))\/m*m)) assuming m is positive.\nAnswer: m**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 7:21 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*j + 4)*(3 - 3 - 4*j) + 3*j**2 - 2*j**2 - 4*j**2 + (-6 + 2 + 2)*(3*j**2 - 4*j**2 - j**2).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20 + -14)\/((-3)\/(-2)). Suppose -w - 2*f = 67475 - 163481, z*w = -4*f + 384012. Round w to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 625650 - 416?\nAnswer: 625231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 90 - 162. Suppose -32*q = -i*q + 96. Solve s - q = -4*s + 4*h, 3*s = 4*h + 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 172933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*r - 15 = 0. Suppose y = -2*y - r, 3*c - 339 = 3*y. What is the highest common factor of c and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*2*(-4)\/16. Let a = -91.2 - -91.7. What is the nearest to -4 in f, -4\/3, a?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 825*z - 829*z = -7*u - 18, -4 = u - 2*z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 377998 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: b\"What is the fth term of 134, 129, 124, 119?\n\"Answer: -5*f + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1720, -3455, -5190, -6925?\n\"Answer: -1735*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000208553 rounded to 6 decimal places?\nAnswer: -0.000209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 48\/88*(-24926)\/412\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6059.328ml in litres?\nAnswer: 6.059328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -148948.\nAnswer: 148948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z**2 - 29*z + 12. Let f be p(-9). Let j = -34 - f. Solve -3*x + 5*y + 25 = 0, 2*x - 4*y + j = 7*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 1. Suppose 0*r + 2*r - 14 = 0. Suppose -5*i + r + 8 = 0. Solve a - o + 8 = 0, a - o + i*o - 1 = v for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.881 - -8.881. Which is the fifth smallest value? (a) -2 (b) 1 (c) o (d) -3 (e) 26\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4 - -0.2. Let x = -2 - -2. Suppose -w - 2*w = x. What is the third smallest value in -2, w, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/245)\/((-201)\/14).\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 9*t + 6. Let x be s(6). Let r be (-1)\/((-2)\/(-14) + x\/(-21)). Let z be 0 + -1 - 16\/(-10). Is r > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: 39 + -63 - (-35 - 0)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486512?\nAnswer: 2, 13, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 3)*(2*w**5 + 0*w**5 - 3*w**5 - 4*w**5 + 3*w**5 + 0*w**5 + (2*w**4 - 4*w**4 + 4*w**4)*(-2*w - 1 + 1)) - 3*w**5 + 5*w**5 + 5*w**5.\nAnswer: 49*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*b*c**4 - 63483*b*c**2 + b*c - 1672*c**4 + 64*c**3 - 17*c wrt c?\nAnswer: 240*b*c - 40128*c + 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 7. Let z(q) = -1. Let p(l) = i(l) + 3*z(l). Let a be p(4). Suppose -3*y + 2*m + 40 = a, 5*m - 2*m = -y + 17. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 11 = -3*q, -q - 4*k - 8 = -k for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one eighths of a decade?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1575411?\nAnswer: 3, 525137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*a - 3 + 14, -5*a - 26 = -2*z. Suppose 2*l + 9 + 13 = 5*g, 3*l - 2*g + 11 = 0. Let w = -1 + l. Put z, 1, w in descending order.\nAnswer: z, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 285, 597, 923, 1269, 1641?\n\"Answer: o**3 + o**2 + 302*o - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggggggggagagggg. What is prob of sequence agag?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3025 is divided by 1508?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 702224*o + 702223.\nAnswer: (o + 1)*(o + 702223)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -83*a**2\/2 + 3*a - 5. List the prime factors of j(-1).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1184830299?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49322017?\nAnswer: 49322017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2639 is divided by 176?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -0.2, 0, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/4 and 13\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a (base 12) in base 13?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 22995560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t**(-3\/8))*(t*t\/t**13)\/t*(t\/t**7)**(-29\/2) assuming t is positive.\nAnswer: t**(603\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxwwwwwxw. Give prob of sequence xwxw.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-490)\/(-100) - 10\/25)*6 is divided by 26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1898 is divided by 41?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + -1a9e?\nAnswer: -1aa5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -r**3\/3 - 15*r**2\/2 + 4*r + 5. Let p be t(-15). Suppose 64 = 8*q - p*q. Solve -8*n - q = -4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 5*i - 4. Let g be z(-7). What is the units digit of (2\/5)\/(g\/300)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110001 - 1011110?\nAnswer: 10010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 109*t - 6322950 + 104239 - 696576. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 3, -2, -5.\nAnswer: -10, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 1139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 82\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2632 or 2645?\nAnswer: 2632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/25)\/((-23)\/(-230))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-18)*(-8289)\/(-3070)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33\/76 or 1?\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130718 and 35546.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 3*t - 1. Let p(f) = f**3 - 3*f**2 + 10*f - 154. What is -3*l(q) + p(q)?\nAnswer: q**3 + q - 151","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, t: 1, b: 1, w: 1, j: 1, a: 6}. What is prob of sequence jwb?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -358 + 378. Sort b, -0.63, 1, -5.\nAnswer: -5, -0.63, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6464 - 1251?\nAnswer: 5213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (-93)\/21) + 9\/(-21). Let g be p\/(-8) + (-667)\/(-116). Solve -5*b + g = -5*f, -2*b - 2*f = f + 18 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 1 = i - 4, 7 = 5*i - 3*p. Suppose -46 = -i*g - 2*u, 3*g - u - 49 = u. Find the second derivative of 6*q + g*q**3 - 3*q - q + 3*q wrt q.\nAnswer: 114*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/4*12\/(-4). Let o be (18\/(-16))\/(2\/(-4)). Determine s, given that o*s**2 + 1\/2*s + x*s**3 + 5\/4*s**4 + 0 = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200 and 40.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.00000011 + -12. Round v to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-29)\/(-2))\/((-1)\/2). Let b = z - -44. Calculate the smallest common multiple of 30 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 1394 = -21*c. Suppose 66 - c = 5*m. Let p(l) = -l**3 + l - 1. Calculate p(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 37 - 83 = 0. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 6*-3*((-2*sqrt(931)*5 - sqrt(931)) + 0 + 1 + sqrt(931))**2)*1.\nAnswer: -1675819 + 2520*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/3 + m**2 - 2*m\/3.\nAnswer: -m*(m - 1)**2*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 21. Let m(u) = -3 + d*u - 5*u + 4*u. Let k be m(-17). Solve 7*n - 21 = 2*n - 2*l, 2*n - k = 2*l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 - 1. Let w = 12316\/3 + -4148. Let i = -42 - w. Which is smaller: i or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, f: 1, k: 1, j: 1, i: 2, p: 2}. What is prob of sequence cjk?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2 + 134171*q - 4562970 = 0 for q.\nAnswer: -134205, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -205671506 divided by -2\nAnswer: 102835753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (3 - -2 - 4 - 6)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -7*l - l**2 - 5 - 7*l**2 + 7*l**2. Let h be s(-7). Put -1, -7, h in decreasing order.\nAnswer: -1, h, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -187\/2960319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3\/9 + 1264*r**2\/9 - 11309*r\/9 + 17570\/9 = 0. Calculate r.\nAnswer: 2, 7, 1255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (61 + 44 - 17)*(8153*i - 234*i**2 - 8153*i) to the form f*i**2 + q*i + b and give f.\nAnswer: -20592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*y - 61*y = 24. Let r(w) = -w**2 + 5*w - 1. Determine r(y).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 + -559\/10. Let j = 0 + 0.5. Put v, j, 3 in increasing order.\nAnswer: v, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.214 - 3.214. What is the closest to 1\/13 in 0, 0.08, v?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 173*q**4 - 92*q**4 - 87*q**4 + (-3 + 3 - 5*q**2)*(-2*q**2 - 2*q**2 + 2*q**2) to l*q + j*q**4 + r + b*q**3 + s*q**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3, -129, -335, -615, -963, -1373, -1839, -2355?\n\"Answer: l**3 - 46*l**2 + 5*l + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 4*g**2 + 453824*g + 12872263936 = 0.\nAnswer: -56728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/140 and 109\/114420?\nAnswer: 800940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1717*y**2\/2 - 3433*y - 4.\nAnswer: (y - 4)*(1717*y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4f9670 (base 16) to base 5\nAnswer: 2313401411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 9 = -3*w, -1841*g + 4*w = -1843*g + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -9*m**3 - 6*m**2 - 6*m. Let c(h) = -2*h**2 - 28*h + 377. Let i be c(-22). Let g(v) = 35*v**3 + 25*v**2 + 25*v. Determine i*s(w) + 6*g(w).\nAnswer: -15*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3114, -6230, -9352, -12480, -15614?\nAnswer: -18754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-40)\/(-18) - 20\/90. Suppose 3*z - 35 = -o*z. Solve -2*t = -3 + z for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 2.94. Let d = -0.08 - h. Let o = d - -0.264. Round o to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -63.1857 and -5.\nAnswer: -68.1857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 131438310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44.12064 - 0.10936. Let t = i - -44. Let b = t - -0.03. What is the third smallest value in b, 4, 2, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1182\/11 - 3535\/33. Which is the closest to 1? (a) -0.17 (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 9*g + 11. Let b be f(10). Suppose 2*l - x = 13, 5*l = 4*l + 5*x + 2. Let y = b + l. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-1) + 1 + 1. Suppose o - u = 4*o. Let s = 9.111 - 9.011. Sort s, 0.3, o, 0.5.\nAnswer: o, s, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59.9 + 63. Let u = 0.9 + q. Which is the closest to -1? (a) -1\/4 (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 31. Let j(s) = -s + 5. Give j(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -221 times 7?\nAnswer: -1547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**5\/4 - 4651*x**4\/4 - 129309*x**3\/4 + 92927*x**2\/4 + 32328*x - 22069 = 0.\nAnswer: -1522, -29, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 11*q**2 + 3*q - 13. Let l be x(10). Let a = 516 + l. Suppose a + 97 = 5*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (118\/(-24))\/(174\/(-928)). Which is smaller: l or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 2:06 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 18\/(-4))*6 - -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 7. Let q be c(3). Let i(j) = -5*j - 11. Let h(a) = -2*a - 5. Determine q*i(x) + 9*h(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -85 + 1. Let v be (1\/(-2))\/(7\/t). Solve 8*x = v*x - 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -36\/29 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -89, -120, -173, -254?\nAnswer: -369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c + 15. Let o be j(5). Let t = 1 - -3. Solve b - 5 = 5*d - 13, -2*d + t*b - 4 = o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4634059 to the nearest integer?\nAnswer: 2153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t + 2 - 2)*(21*t + 24*t - 6*t - 3 + 3 - t + t + t - t + (t + 0 + 0)*(-4 + 2 + 3)) + 1 + t**2 - 1 to u + o*t**2 + h*t and give o.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.18782495814 and 41.\nAnswer: 37.81217504186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 193349 and 278?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (126\/5)\/3 - 2\/5. Let z(n) = n + 24. Let c be z(0). Calculate the greatest common factor of c and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 237 and 27.\nAnswer: 2133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130, -144, -198, -316, -522, -840, -1294?\nAnswer: -1908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34.9 + 4.9. Let t = -18 - f. Let b = -11.9999993 + t. What is b rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 42972.\nAnswer: 85944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b + 12 + 8*b**3 - 4 - 9 - 2 - 4*b**2. Let r(y) = -17*y**3 + 9*y**2 - 9*y + 7. Let z(f) = 5*j(f) + 2*r(f). Let w be z(1). Solve w = -3*h + 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1163*u + 872*u - 671*u = 46376 for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 85833.93.\nAnswer: 8583.393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**3\/3 - 3*y**2 - 5*y. What is the remainder when 21 is divided by l(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78380147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -23*l. Let o(k) = k**2 - k - 1. Let f(s) = -9*s**2 + 2*s + 2. Let h(j) = -f(j) - 2*o(j). Determine x(h(p)).\nAnswer: -161*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 126611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*(f\/(f*f**(-17))*f)\/f))\/f*f\/(f*f*f\/f**8)*f**(-13)\/(((f*f**(-9\/2)*f)\/f*f)\/f) assuming f is positive.\nAnswer: f**(-43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110630 is divided by 145?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10313838 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(90))\/sqrt(5) + (-2*-2*sqrt(12))\/sqrt(6).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, t: 8}. Give prob of sequence ktk.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 8*f**2 + 4*f - 16. Let n be r(-7). Suppose -223 + 883 = n*t. Let d = t - 127. What is the biggest value in -2\/9, d, 2\/13?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 0)*1 + 17 + -5 + 242. Solve -21*v - 21*v - z = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0080329938 to four dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -112931690*d**2 + 793*d - 1579 wrt d?\nAnswer: -225863380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 4. Solve 5*v + 4*z = -33, -4*z - z = -3*v - w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3883 is divided by 185.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5623172 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*c**6 - 12*c**4 + 3*c**2 - 8*c - 3?\nAnswer: -1320*c**3 - 288*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1947 or -1862?\nAnswer: -1862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -466 times -2.3\nAnswer: 1071.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f*l**3*r**4 - 28*f*r**3 - f*r**2 + 73*f - 10*l**3*r**3 + 2*l**3 wrt r.\nAnswer: -24*f*l**3*r - 168*f - 60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -25*g + 5. Let w be j(-13). Let a(t) = -110 + w - t - 107 - 112. Give a(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 3:50 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/10)\/((-2)\/25). Let m be (-14)\/z - (-8)\/40. Let y = -2190 - -15328\/7. Which is smaller: m or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 1, 6, 25, 64, 129?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 995256?\nAnswer: 2, 3, 23, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*z - 3*w = 26*z, 3*w = 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 0*o - 8 = 4*o, 0 = 4*o + 8. Let y = 56 - 61. What is the closest to v in 3\/2, y, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h - 17. Let l be i(-19). Suppose 4*j - 19 = -y, -2*y - l*y + 4*j + 76 = 0. What is the remainder when 93 is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 9773?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/2*((-11424)\/60)\/28?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/16 and 37\/36?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -40. Suppose o*t + 4*t - 2*t = 0. Solve -4*w + 8 = -t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107375, 214754, 322133, 429512, 536891?\nAnswer: 644270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 17*b**2 + 14*b + 11. Let a be z(18). Let f be a\/(-3) - 2\/6. Solve 2*o + f = 7*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in 3, 2\/11, 1.6, -6\/11, 0.2?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -421279 and 0.3?\nAnswer: -126383.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 11, z: 1, i: 6}. What is prob of picking 3 q?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/20 and (-3)\/(-1) - (-172)\/16?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -73 + 76. Suppose 3*a - 3*o - 3569 = 3181, -4*a + c*o + 9003 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 218 + -142. Calculate the greatest common divisor of 19 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.59909959 rounded to 2 dps?\nAnswer: -32.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11558 and 1.391.\nAnswer: 16077.178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -7. Let c = 61 - -23. Suppose -3*r - 2*w + 241 - 33 = 0, r - f*w - c = 0. Is r a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 865765835 - -744?\nAnswer: 865766579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 16*y + 44. Let w be k(-18). Let c be 133\/(-8) - 3\/w. Is 0 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of 2*f**4\/3 + 7*f**3\/6 + f**2. Suppose 4*c - 16 = -3*o, -9*o + 6*o + 7 = -5*c. What are the prime factors of y(o)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, d: 2, t: 10, j: 2, w: 3}. Give prob of sequence wj.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) -1\/6 (c) -0.01 (d) -1 (e) 132\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63555.\nAnswer: 3, 5, 19, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q + 112. What is the least common multiple of k(19) and 288?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 26. What is the units digit of (-8)\/c + (-5)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-1)*(-2 - -1). Let s = 0 - 5. Let x be ((-8)\/70)\/(-7 + (-264)\/(-40)). What is the closest to j in 0, x, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3532 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) -79 (c) 5 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.08 > -1321086?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1699706, -3399416, -5099128, -6798842?\n\"Answer: -t**2 - 1699707*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35132, -34990, -34746, -34394, -33928, -33342, -32630, -31786?\nAnswer: -30804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 264 - 263. Let v(h) = 4*h. Suppose 0 = -4*m + m + 3. Calculate the smallest common multiple of s and v(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-29)\/(-4) + (-1)\/4. Suppose 0 = 4*p - 12 + 28. Let j be p\/(-18) + (-970)\/(-90). Solve -c + s - w = -3*c, -3*c + j = s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 - 4a2b5?\nAnswer: -4a309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2140*a**2 - 8569*a**2 + 2133*a**2 + 2133*a**2 + 2138*a**2 + 23*a.\nAnswer: -25*a**2 + 23*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 6*j = 80. Let f = 23 + -23. Suppose f = 3*w + 5*l - j, 34 = 4*w - 5*l + 2*l. Calculate the remainder when 29 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 10:33 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**4 + 3670*f**3 - 138377*f**2\/4 + 81947*f.\nAnswer: -f*(f - 908)*(4*f - 19)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*l + 4 = 0, 0 = -v + 5*l - 4*l + 2. Let f be (-9)\/v - 2\/4. Does 6 divide ((-5)\/10)\/(f\/192)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.334154ug in kilograms?\nAnswer: 0.000000002334154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)*1*3 - ((sqrt(1053) - sqrt(1053)*1) + (sqrt(117)*-1 + sqrt(117))**2).\nAnswer: 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, -160, -469, -788?\nAnswer: -1117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4012646, -8025290, -12037934, -16050578, -20063222, -24075866?\n\"Answer: -4012644*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 215943547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1410)\/60 + 19)*220\/45?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 39*i**3\/2 + 3*i**2\/2 + 41*i + 6. Let j(z) = -2*z. What is g(j(n))?\nAnswer: -234*n + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 + 201011121000220?\nAnswer: 201011121001120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2232012 (base 4) to base 16\nAnswer: 2b86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*p + 18, -2*p = -2*i + 2*p. Solve o = 8 - i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 2. Let u be q(3). Let a be -1 + (u - -2) + 0. Solve 4*l = a*l - 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3554)\/(-952) - ((-12805)\/260 - -53)?\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1434328452.\nAnswer: 2, 3, 13280819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 282682060 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: Let v = 114 + -113.908. Let w = -2.908 - v. Let x = 11\/14 + -2\/7. Which is the closest to -1? (a) 10 (b) x (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2167\/5 (b) -44 (c) 0.43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*a - 18 = 0, 0 = 4*q - 4*a + 5 - 13. Solve q*x = -2*m + 11, -2*x + 10*m - 15*m + 22 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 11, m: 3, g: 2, c: 2, h: 1}. What is prob of sequence gfhf?\nAnswer: 55\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 28\/(((-44)\/(-48))\/11). Suppose -2*m - 18 = -c. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovs when three letters picked without replacement from ssvvvovvssovvvv.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 532 is divided by 178?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 4*i - 69, -61*i + 86*i + 31 = 2*o - 103 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqx when three letters picked without replacement from qxqqqqqxqxxxxxlxxx.\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 12587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (18 + 11 + -1 + -7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00147547 to 5 dps.\nAnswer: 0.00148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 100\/45 + (-76)\/18. Sort -24, 5, g in ascending order.\nAnswer: -24, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l + 19. Suppose -5*a + 3*i - 395 = 0, i - 158 = -2*a + 4*a. Let g = a - -71. What are the prime factors of j(g)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*1*-3*6 + -4*(sqrt(2) - (-3 + sqrt(32))) + -3.\nAnswer: -15 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83 + 64. Let w = 24 + a. Suppose -y - 2*r = r - 334, 5 = w*r. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 14*n + 14*n + 6 + 4735*n**3 + 2521*n**3.\nAnswer: 7256*n**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 - 38. Suppose -x + 5*o = -0*x + 21, 30 = 5*x + 2*o. Sort x, l, -5 in ascending order.\nAnswer: -5, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -2*f**4\/3 - 7*f**3\/6 + 4*f**2. What is the units digit of c(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p. Let y(u) = -2*u**2 + 0*u**2 + 3*u**2. Let b(c) = c**3 + c**2 - c - 2. Let h be b(2). Let n(d) = 6*d**2. Let o(r) = h*y(r) - n(r). Give v(o(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.113751 millilitres?\nAnswer: 0.000113751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 14*v**4\/3 - 15602*v**3\/3 - 314288*v**2\/7 - 512024*v\/21 - 71872\/21 = 0.\nAnswer: -8, -2\/7, 1123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -156331*h**4 - h**3 + 72*h**2 + 25503111*h?\nAnswer: -1875972*h**2 - 6*h + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*z - 36*z + 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24351685 - 181*x**2 - 24351685.\nAnswer: -181*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - (3 - 2)) + -1. Suppose z = 227 - 94. Suppose 3*m - 5*q - z = -q, c*m - 92 = q. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56521, -56585, -56649, -56713, -56777, -56841?\nAnswer: -56905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*q = 3*q + 1321980, 5*v - 3305016 = -4*q. What is v rounded to the nearest 10000?\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -4, -2\/9, -261892?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a kilogram in grams?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -118? (a) 0.1 (b) -0.1 (c) -3\/10 (d) 2 (e) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 - ((-5)\/(-5))\/(135\/18900).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 + 15482*h + 59923081.\nAnswer: (h + 7741)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -27, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (4 - (6 - (7 - -3)) - -37)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167017 is divided by 1686?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 5*u = 10*i + u + 164, -3*u + 174 = 3*i - 8*u for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4*2\/(-1)*-30277. Suppose -466 + m = 19*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 33, 142, 325, 582, 913?\n\"Answer: 37*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -q**4\/12 - q**3\/3 + 2*q. Let k(m) = -2*m**2 - 5*m - 5. Let g be k(-2). Calculate v(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -451*q + 5212 - 2459 = -2546 - 7780 for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 113*d**4\/12 - d**3\/3 - d**2\/2 + d. Let g be t(-1). List the prime factors of (3\/(-6))\/((-3)\/g).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78013 divided by -4589?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 13 = -2*z - 3*z, 0 = -3*x - 2*z + 3. Let s(p) be the third derivative of -p**6\/120 + p**5\/60 + p**4\/24 + p**3\/6 + 3*p**2. Calculate s(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/5827207 and -26\/93685.\nAnswer: 29136035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 2\/5 (c) 291 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-4)*r*r*r)\/r)\/(r*r**5)*(r*r**(1\/4)\/r)\/r**(-3\/4) assuming r is positive.\nAnswer: r**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence klk when three letters picked without replacement from vclvkvlkcklcck.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, -3.6, 1, -1\/8, 76, -14?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*h + 720194645 + 1025421696 + 3637103659 = 0. Round h to the nearest one million.\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 18, -1\/6, 1573, 0.\nAnswer: -1\/6, 0, 2, 3, 18, 1573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 56941523?\nAnswer: 17082456.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3313, -5, -3, 2, -4.5 in decreasing order.\nAnswer: 4, 2, -3, -4.5, -5, -3313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 1 + 7 = 0, 0 = 4*i - 3*b - 10. Let t be (2\/i*0)\/(-1). Let g(h) = -2*h**2 + 4*h**2 + t*h**2. Let s(y) = y. What is g(s(x))?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -539*s + 3*p = -541*s + 26, -2*s = p - 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*b**2 - 9*b**2 - 4*b**2)*(b - 4*b**2 + 2*b - 15*b**2).\nAnswer: 399*b**4 - 63*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a - 1. Let i be u(5). Let c be -4 + 4 + (i\/(-36))\/7. Is c bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 7:11 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**4\/24 - b**3\/3 - b**2. Suppose -2*p + 8 = 2*p. Let a = -2 + p. What is n(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 166 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -165469*g*q**2*r + 371*g*q + 2*g - 3*q**2 + 2*q*r**3 + 2*q + 2 wrt r?\nAnswer: -165469*g*q**2 + 6*q*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 16. Let u be x(11). Suppose u*v + 18 - 292 = -f, -3*v + 168 = -3*f. What is v rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8.18 from 752.\nAnswer: 760.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ninn when four letters picked without replacement from {y: 5, n: 14, i: 1}?\nAnswer: 91\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 1 = -g. Does 15 divide (g*1)\/(3\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15226.\nAnswer: 2, 23, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 28*o**3\/3 - 80*o**2 - 48*o - 84. Suppose n(u) = 0. Calculate u.\nAnswer: -2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 26688216*x. Let b(p) = -p. What is i(b(a))?\nAnswer: -26688216*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 2. Let m(t) = -4*t - 7. Let q(b) = b**3 - 3*b**2 + b - 2. Let l be q(2). Determine l*m(o) + 14*w(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 14*l**2 + 3*l - 66. Calculate h(-13).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*-2)\/(1*sqrt(10)*2 - sqrt(10)) + ((sqrt(648) - (-1 + sqrt(648)))**2 - sqrt(648)) + -3.\nAnswer: -30*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*m - 5 = 0, -3*g - 3*m + 2 + 13 = 0. Find the second derivative of -45 - 2*q - g - 11 - 45*q**3 - 9*q**3 wrt q.\nAnswer: -324*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -2640396?\nAnswer: 2640392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -192\/7. Let r = -1.173 + 0.773. What is the closest to -0.1 in r, v, -8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248962 bigger than 248963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 1555*f - 7735. Give y(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1767*s**3 + 2566 - 791*s**3 + 2*s + 2470*s**3 wrt s.\nAnswer: 20676*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**3 + 68*c**2 - 216*c - 288 = 0. What is c?\nAnswer: -1, 6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((42\/(-15))\/(-7))\/(24\/15)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.66 - -1.86. What is the biggest value in -2\/5, -0.5, -16, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11050764?\nAnswer: 2, 3, 23, 40039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25159, 25021, 24883, 24745, 24607?\nAnswer: 24469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 - -200?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((-4 + sqrt(1700) + -1 + sqrt(1700)*2 + -4 - (-3*(-1 + sqrt(1700)) + 3)) + 2)*-4)**2.\nAnswer: -3927616 + 99840*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2622976 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -14. Suppose -19 - 5 = w*t. Let v(a) = -a**2 - 6*a + 1. Let p be v(t). Sort 4\/9, p, -5 in descending order.\nAnswer: p, 4\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -213\/4 - -53. What is the nearest to 2 in q, -0.5, -1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/803520356 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 642417?\nAnswer: 3, 197, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 270629078?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 8*x. Let z be (-20)\/(-6)*45\/30. Let y be (z\/5 - 6\/(-2)) + -3. What is a(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33183 divided by 3399.\nAnswer: -11061\/1133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ez when two letters picked without replacement from eeeeeezeeeeeeeeeeeze.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 3*f - 33 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 4*h - 10 + 26, 4*k + 5*h = 21. Calculate the remainder when (-2658)\/(-54) + k\/(-18) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -0*s - 4*s - 4*u, 0 = -u - 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**2 - 2*m**2 - 32*m**2 - m + 2 to q*m**2 + z*m + f and give q.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 i when three letters picked without replacement from kiiikiukiiiiiusik.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -18*n + 8. Let i(f) = f + 1. Let l(k) = 6*i(k) - t(k). What is the first derivative of l(g) wrt g?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 13, 1\/2, 37.9?\nAnswer: 37.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -4*q + 3*p, -4*q - 74 = -7*p + 9*p. Let x(m) = -m**3 - 19*m**2 - 34*m + 14. What is the units digit of x(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -18 + 4 - -3 - -2?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.1 - -2. Let c(h) = -h**2 + 16*h - 3. Suppose -2*y = -3*y + 16. Let k be c(y). What is the nearest to k in 0.3, -3\/8, i?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-126)*-2*3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -9*v - 13. Let c be (-24)\/180 + 392\/(-210). What is b(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*o + 1 + 20*o - 2 + 11*o.\nAnswer: 45*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 442\/8 + (-2)\/8. Is 22 a factor of w + (-6)\/((-9)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**0)**50*(c\/(c*c*c\/(c\/c**(1\/4))*c*c))**(2\/61) assuming c is positive.\nAnswer: c**(6087\/122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -8*o - 261. Let r be a(-34). Let j(c) = -5*c**2 - 1 + 5 + 9*c - 2 + r*c**2 - 7*c**2. Give j(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 1313?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32038*w**3*y - 287*w**3 - w**2 + 3*w*y + 4051*w + 23*y with respect to y.\nAnswer: 32038*w**3 + 3*w + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f**2 + 4*f + 7*f**2 + 2*f**2 - 7*f**2. Suppose -5*x + 4*z + 4 = 7, 0 = -3*x - 5*z - 24. Is 15 a factor of p(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a3a9 (base 12) to base 7\nAnswer: 452244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 925 is divided by 116.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - k**2 - 2*k + 1. Let r(s) = s**3 - 23*s**2 - 6*s + 33. Let n(y) = -2*q(y) + r(y). What is the remainder when 64 is divided by n(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -3. Let q = n + -6. Let f = -487\/6 + 81. Which is the third biggest value? (a) -5 (b) q (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m. Let q be l(-1). Suppose 12 = 3*g - 0. Suppose -26 = -5*k - j - g, -k - j + 2 = 0. Solve -i - 4*u + 18 = -0*i, k*u = -q*i + 28 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 36*l**2 + 1\/5*l**6 - 19\/2*l**4 + 0 - 105*l - 3\/4*l**5 - 14*l**3. Determine c, given that b(c) = 0.\nAnswer: -2, 1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/8 of a millennium?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four fifteenths of a day?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8 + 21\/(-6)*1356\/791. Suppose -3*j + 5*c = -8, -5*j - c = 3*c - 38. Solve 3*b = 6, -n*m - 4*b + j = -4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 528 divided by 22\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 937 by -4.\nAnswer: -937\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -5. Let v = 0 + -0.07. Let s = -2.93 + v. What is the second biggest value in n, s, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 11*q = 248. Suppose -180 = -d + 4*d. Let f = d + q. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 27*k - 36. Does 39 divide z(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*n**5 - 42*n**4 + 42*n**4 + (3*n**5 - 3*n + 3*n)*(-1 - 1 + 3).\nAnswer: 10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2568.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*c = -10, 0 = c + 2*c - 6. Suppose h = 4*r - 0*r - p - 366, 2*p + 459 = 5*r. What is the remainder when r is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -66717, -133027, -199331, -265629?\n\"Answer: 3*p**2 - 66319*p - 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 4, 5\/23, 2.7, 2\/3, 2\/7 in descending order.\nAnswer: 4, 2.7, 2\/3, 2\/7, 5\/23, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 10*j - 1. Calculate z(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 4*z**2 - 2*z. Let d be a(-4). Suppose -6*s = -d*s + 6. Find the third derivative of 32*n + 11*n**2 - 11*n**s - 32*n wrt n.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/19 + (-186)\/(-38). Suppose -z*k + 2 = 7. Let v(f) be the third derivative of f**6\/60 - f**3\/6 + f**2. Give v(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 2*a - 59. Let r be v(0). Let z = -45 - r. What is the units digit of z*(4 + 0 + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (344*d**2 - 11*d**2 - 120*d**2)*(-d - 1 + 1) + (0*d**2 - 2*d**3 + 0*d**2)*(1 + 2 - 1) as z*d**2 + w*d**3 + y + f*d and give w.\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u - 25*u = 0. Suppose -30636 = -3*b + 3*a, 10197 = b - u*a + 2*a. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 46 = -24. Suppose 2200 = 12*g + q*g. Is g at most 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13570, 13753, 13936, 14119, 14302?\nAnswer: 14485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3268 and 2?\nAnswer: 3268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 814*b - 800*b - 22 = 2*f + 26, -3*b = -4*f - 46 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8928051 by 2.\nAnswer: 8928051\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36970181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 6*s + 8. Let b be f(7). Suppose 2*d + b = 3. Which is greater: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1448\/174669 - -3\/737. Let a = 50164325\/10193844 + -5\/32259. Let n = a + f. What is the common denominator of -41\/22 and n?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -418403\/6*t - 715822\/3 - 1\/6*t**4 - 217\/6*t**3 - 5325\/2*t**2 = 0. Calculate t.\nAnswer: -71, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6056*q + 15266 = -5577*q + 1375 for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 45*y - 46*y - 7444, 4*y = -5*h + 37220. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/669245 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1481\/5876 - 3\/1469. Factor -x*k**2 + 0 + 1\/2*k.\nAnswer: -k*(k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z**5\/5 + 2*z**4 - 3*z**3\/5 - 4*z**2\/5 + z\/5 = 0.\nAnswer: -1, 0, 1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -2. Suppose -5*g = t - 35, 0 = 4*g + 5*t - t - 28. Let f = 12 - g. Put m, f, 3 in ascending order.\nAnswer: 3, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 170*z. Let q(g) = -91*g + 1. Give k(q(w)).\nAnswer: -15470*w + 170","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1549, -1548, -1547, -1546, -1545?\nAnswer: -1544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -19245, -38930, -58613, -78294?\n\"Answer: l**2 - 19688*l + 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -609940 at least as big as -609952?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35777 and 107331?\nAnswer: 107331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*2\/10)\/((-2)\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -131 - -134. Solve -h + 6 = -3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*t = 321, -3*t + 739 - 2056 = -4*d. Suppose 0 = a - 4*u - d, 3*u - 534 = -3*a + 522. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 392*a**5\/45 - 70*a**4\/9 + 50*a**3\/27 + 186. Factor g(f).\nAnswer: 2*f**2*(14*f - 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1831.85947 + -276.54143. Let w = o - -2107.3. Let j = -1.1 - w. Round j to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8, 1, 10, 19, 28?\n\"Answer: 9*y - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, -0.4, 107367, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.09, -5, 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9245137 minus 0.07?\nAnswer: 0.8545137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 1174, -0.08, 3\/238?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -152, -2, 7, 6, -1, 5 in descending order.\nAnswer: 7, 6, 5, -1, -2, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 31\/5*m**5 - 1\/6*m**6 - 4*m + 0*m**4 - 1\/2*m**2 + 0*m**3 + 145. What is the second derivative of v(i) wrt i?\nAnswer: -20*i**3 + 372*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (651\/(-28))\/((-3)\/8). Suppose 3*o = 1 + f. Let i = o - -3. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -9*f + 92. Let z be i(10). Let b be 1\/(31\/(-16) + z). Solve b = 4*c + 3*y, 0*c - 5*y + 22 = 2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*v - 382, -4*n = -2*v + 59 + 139. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 3, -2, -1, -289?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x**2 + 19*x**2 - x**2)*((-1 - 3 + 6)*(-5 + 4 + 0) + 0 - 2 + 0 + 3 - 2 - 4).\nAnswer: -175*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 10\/4*24\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, f: 1, q: 1, n: 1}. What is prob of sequence nfl?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8735410 and 6594363.\nAnswer: -2141047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71881432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -108*n - 108. Give p(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 11*t**2 + t. Let s be o(-1). Calculate the highest common factor of s and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1785\/22 >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -151\/91 - -16\/13. What is the smallest value in -0.5, d, -5, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 - 834*z**2 + 1990*z + 287*z + 389*z - 1680 - 150*z.\nAnswer: -2*(z - 2)*(z - 1)*(z + 420)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/3)\/(m**(-12)\/m))**(-40))**(11\/4) assuming m is positive.\nAnswer: m**(-4070\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 8:53 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1848, -2, -14, -5 in descending order.\nAnswer: 1848, -2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.087 - 0.087. Let p = -37\/93 + 2\/31. What is the closest to p in v, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 2:33 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m + 4425 = -17*m. Suppose 4*l - 3*l - m = 0. Suppose 2*p - l = -3*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.83 - 3.33. Let l be (-6)\/4*(-16)\/(-120). Put x, 4, l, 0 in descending order.\nAnswer: 4, x, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.00003 + -11. Round n to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01 - -0.31. Let u = -1 + d. Let i = u - -1. Which is the nearest to 1\/4? (a) 3\/2 (b) 2\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309138078.\nAnswer: 2, 3, 23, 97397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64992 - -65012.9816. Let i = 21 - v. Round i to three dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1200968 from -7189.\nAnswer: -1208157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11, 53, 251, 649, 1313?\n\"Answer: 11*m**3 + m**2 - 16*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/30*5\/2. Suppose -4 - 2 = -5*z - n, -5*z + g*n + 22 = 0. Solve d - 2 = z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**4 + 3238*o**3 - 2646921*o**2 + 41679792*o - 124575408 = 0.\nAnswer: 4, 12, 1611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47556 * 2085.\nAnswer: -99154260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 153*n + 745. Let q be k(5). Let h(o) = -o**2 + 9*o - 33. Give h(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-63) - (-92)\/(-18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2476.4 and -742.\nAnswer: -1837488.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -441*k**2 - 19*k + 2. Let f be t(27). Round f to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**3 - 615*g**2 + 12580*g + 98700 = 0. What is g?\nAnswer: -6, 35, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-3))\/((-1264)\/18328)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -107837\/180 + 599. Find the common denominator of -109\/110 and v.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/9 + 26\/6. Suppose 3*h - 2*h - 4*j = 18, -x*h - j = -4. Suppose -27 + 2 = -u + 5*y, 0 = h*u - y - 14. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 691\/(-9) + 1*6\/(-27). Let d = 79 + b. Solve 4 = d*y - 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(19) + -1 + sqrt(19) + 0 - sqrt(19)) + sqrt(19))**2 - (sqrt(2736) + (2 + sqrt(2736))*2)) + 0 + 3.\nAnswer: -60*sqrt(19) + 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1248 = 11*w + 1095. Which is bigger: w or -423\/2?\nAnswer: -423\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 - 2*x**2 + x**2 - 41*x**3.\nAnswer: -41*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a**3 + a - a)*(-2*a + 8*a + 9*a) in the form r*a**4 + m + v*a + b*a**3 + k*a**2 and give r.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 214000*d. Let q be m(-10). Round q to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 0*i**6 - 4*i**2 + 0 + 0*i**4 + 0*i**3 + 1\/336*i**8 + 2\/15*i**5 + 0*i + 0*i**7. What is the third derivative of g(o) wrt o?\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 857 is divided by 86.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3)*r)**(2\/5)\/((r*r**(-7))\/(r\/(r\/(r\/(r\/(r*r\/r**(-4)*r))))))*r**6*r**(-2\/5)*r**(-1\/4)\/(r*r\/(r\/r**(-6))) assuming r is positive.\nAnswer: r**(1417\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -563*s**3 - 577*s**3 - 4 - 571*s**3 + 4 + 1734*s**3.\nAnswer: 23*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -42 - -24 - (0 + 5 + (1 + 1 - 19))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 + 89*p + 29. Determine x(44).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssss. Give prob of picking 3 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-162)\/(-4)*3782\/(-5673).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**5 + 29265*n**4 - 1411632*n**3.\nAnswer: 3*n**3*(n - 48)*(n + 9803)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-54)\/144 - 307\/(-8). Solve 0 = -30*i + g*i - 40 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2.1532, 0.29, -0.04.\nAnswer: -2.1532, -0.04, 0.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rwpsspprprwsrspw. Give prob of picking 2 w and 2 s.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -416.7 - -398. Let l = 18.700038 + g. What is l rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - -0.8. Suppose 2*o + 3 = 9. Let d be o\/54*-1*4. Which is the third smallest value? (a) d (b) t (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 10. Let a be 2\/j - (-46)\/6. What is the highest common divisor of a and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**3 + 547*k**4 + 545*k**4 + 550*k**4 - 9 - 1595*k**4 to the form u*k**3 + j*k + w*k**4 + c + m*k**2 and give w.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 - 0 - (19 + -16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 796 + -612. Suppose 4*i = -4*n + 108, -5*n = 3*i - 43 - 84. Calculate the greatest common factor of n and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, c: 1, o: 4}. Give prob of picking 1 o, 1 c, and 2 e.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1749, 7587, 17527, 31575, 49737, 72019?\nAnswer: 98427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 936, 1870, 2804?\nAnswer: 3738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.668 - 0.488. Let f = -0.18 + y. Which is the smallest value? (a) -5 (b) f (c) 3\/2 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 12 - 88. Calculate the remainder when 58 is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -75 + 71. Put h, -6, -3, -4 in descending order.\nAnswer: h, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009446753367 rounded to six dps?\nAnswer: 0.000945","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 65503.64 decades?\nAnswer: 655.0364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -4530aca?\nAnswer: -4530ac9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4960*z + 5691 with respect to z.\nAnswer: 4960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60058?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 51502041 - -254?\nAnswer: 51502335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 9*n**2 - n + 11. Let l be v(9). Let -2*u**2 + 5*u**l - 5*u**2 = 0. Calculate u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1505*n**3 - 1 - 924*n**3 + 32*n**2 - 30*n**2 - 3*n**4 to y*n + j*n**4 + q*n**3 + w*n**2 + g and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68447 - 68446.4. Let s = -1.42 - -0.99. Let g = s + 0.03. What is the closest to i in -3, g, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6127 + 11080. What is the highest common factor of 39 and f?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - t + 1. Let q(k) be the third derivative of k**5\/5 + 9*k**4\/8 + 39*k**3\/2 - 20*k**2. Let s(g) = 9*i(g) - q(g). Factor s(j).\nAnswer: -3*(j + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 5:41 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -7ea01a9?\nAnswer: 7ea01ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4*56\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 3\/86, 2 in increasing order.\nAnswer: 3\/86, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2 - 5*j - 14. Let f be i(-6). Let x be (-928)\/f + (-6)\/(-14). Suppose x*w = 15*w + 380. What are the prime factors of w?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11931\/4 + 2960. Calculate the common denominator of (-701)\/126 + 2\/7 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 289406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12609\/4 + -3175. What is the common denominator of -37\/2 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {r: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + v = -1, -2*l - l - 2*v - 4 = 0. Let m be 0 - (l + 4)*-2. Suppose 0 = -2*s + s + m. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k**2 + 2*k - 2. Let j = -568 + 570. Calculate q(j).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -289*r**3\/3 - 37060*r**2\/3 - 8708*r\/3 - 512\/3.\nAnswer: -(r + 128)*(17*r + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*g - 21 - 14 = 0, 0 = 5*k + g - 50. Suppose k*z = 14*z - 50. Calculate the remainder when 27 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.6 - -18.6. Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3710\/812 + (-2 - (-40)\/(-16)).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-27)\/6) - 255\/(-675)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28645836*k*l + 431008*k + 33 wrt l.\nAnswer: 28645836*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46.1 - 56. Let c = -8 + -1. Let f = c - k. What is the third biggest value in -2\/9, 2\/7, f?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.289310278 from -36.2477.\nAnswer: -35.958389722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 716139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2) + (-10)\/4. Let m = 2 - x. Differentiate -d**2 - 3 + m*d**2 - d**2 with respect to d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -174605\/9836 - -4\/2459. Let c = 1113 + -24491\/22. Find the common denominator of c and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - -620)*(-3)\/(-2). Suppose -1371 = -8*w + b. Is w a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -7*q + 5*q, -2*q + 14 = 8*d - 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**2 + 12*u - 3. Let v be g(-3). Let l be 9\/54 + 749\/v. Is l > 126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11341 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5280242 minus 4?\nAnswer: -5280246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/2702 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -126980a6?\nAnswer: -126980a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 1. Let r = 14 + -26. Let d(o) be the first derivative of -7*o**4\/2 + 3*o**2 - 8*o + 69. Let m(f) = r*i(f) - d(f). Find c such that m(c) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 13*x + 13*x**2 + 0 + 3 - 26*x**2 + 14*x**2. Is l(-14) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of x**5\/20 + x**4\/8 - x**3\/3 + x**2. Let s = 12 - 8. Let p(w) = -w**2 + 3*w + 6. Let k be p(s). Determine z(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7000.782ml?\nAnswer: 7.000782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 1787245827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 170, 200, 230, 260, 290?\n\"Answer: 30*f + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -8. What is the remainder when (-4)\/(-3) + s\/3 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5882 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 497 divide 418971?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + -4 + 0 + 0. Let w(k) = k**2 - 4*k + 4. Let j be w(3). Let m(u) = 5*u + u - j + 2 - u**3 + 3 - 3*u**2. Give m(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 10 - 282*y + 20 + 328*y. Is j(14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3702690.\nAnswer: 2, 3, 5, 41141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2102001 - 1?\nAnswer: -2102002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 928890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5122647 or 7?\nAnswer: 5122647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 120 - 118. Suppose r = v*r - 39. What is the remainder when r is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 + 8*b**3 + 75*b - b**3 - 72*b.\nAnswer: 5*b**3 + 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*i - 549 - 270. Calculate the remainder when 687 is divided by i.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -165*s - 1365. What is n(-8)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: e0 (base 15) to base 9\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6443*q - 7086?\nAnswer: 6443","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6670249933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 16 and 17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -p + 5*n - 3, -2 = 2*p + 4*n. Let g(k) = -2*k - 1. Let v(l) = -11*l - 2. Suppose 7*i = -8 + 15. Let q(h) = i*v(h) - g(h). What is q(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2094 - 2143 - 13441*h**2 + 4237 in the form m*h**2 + f*h + b and give m.\nAnswer: -13441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2. Let c(z) be the second derivative of z**3\/6 + 7*z. Calculate c(f(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 300, 1043, 2210, 3741, 5576, 7655?\n\"Answer: -10*g**3 + 272*g**2 - 3*g + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, 0.4, 19\/2, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228696 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24 + -15)*(2 + 7). Suppose 17 + 7 = -q + 2*u, -u = 5*q + 87. Let f = y + q. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 28 = -3*y. Suppose -y = 2*t - 9*t. Find the first derivative of 9 + 10 - 522*l + 515*l - t wrt l.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103072712261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 520501262.\nAnswer: 2, 7841, 33191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 18. Let a = -62 - -62. Let f(x) = -x - 7. What is the remainder when v(a) is divided by f(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -771 - -0.0388\nAnswer: -770.9612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/4 of a year?\nAnswer: 81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**5\/80 + n**4\/32 + n**2. Factor o(v).\nAnswer: 3*v*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/27 (b) -2 (c) 0.001 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-206)\/(-4) - 5\/10.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40.49 + -35.4. Let i = 21 + -20.91. Let t = i - x. Which is the closest to -1\/4? (a) t (b) 0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(133) - (sqrt(133)*-2 + sqrt(133))))\/(sqrt(7) + ((1*sqrt(84))\/sqrt(12) - sqrt(7))).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 9*q**2 + 113*q - 15. Let m be y(-6). Which is the closest to -1? (a) m (b) 2\/15 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*o - 3 = -0*h, -9 = 3*h + 3*o. Is (-574)\/h + 1\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/7, -0.05, 0.04, 1.2, 0.3, 0?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 10*z**3 - z**2 + z. Let i be g(1). Let s be 66\/i - (-8)\/20. Solve -s = -2*x + 3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**5\/60 - i**4\/3 + i**3\/6 - 5*i**2. Calculate the remainder when o(9) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 2. Let o(l) = 134*l - 20. Let a(q) = -o(q) - 10*v(q). Let z(d) = -2*d**2. What is z(a(s))?\nAnswer: -30752*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7397, 59290, 200169, 474530, 926869?\n\"Answer: 7416*c**3 - 3*c**2 - 10*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-220)\/(-825)*35\/(-4).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -1)\/(-50 - -51). Suppose -3*w = -20 + 8. Solve -g + w = g + t, -t = -g - h for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1566 - 1104257?\nAnswer: -1102471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p + 11. Let v be f(-6). Suppose 3*g + w = 11, -17 = -v*g - w - 2*w. Solve -r - g = 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 18*z - 8. Let h be w(-11). Let f = 58 + -54. Suppose -94 = -f*b + 2*k, 0 = -3*b + k + k + 71. Calculate the highest common factor of b and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(-4)\/6 - 1. Let l be d + 4\/2*2. Put -3, l, 4 in decreasing order.\nAnswer: 4, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3398 - 253*d**3 + 1703 + 1695.\nAnswer: -253*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 294 = -5*q, 250 = -251*q + 247*q + 5*j. What is the second smallest value in -15, 0.2, q?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 0)*(0*n + 3*n - n)*(-n**3 - 3*n + 3*n + (-3*n**2 + 3*n**2 - n**3)*(4 + 2 - 3)) - 5*n**4 + 4*n**4 - n**4.\nAnswer: 46*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7932.546 take away 5.6?\nAnswer: 7926.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*v - 1572 = -439*v + 102*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 209592 and 120?\nAnswer: 1047960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 + 71*g + 1852. What are the prime factors of p(-29)?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 3*v - v)*(v**2 + 0*v**2 + v**2) - v + 2 + v - 3*v**3 + 1 - 1 - 2*v**3 + (2*v**2 + v**2 - v**2)*(-v + 2*v - 3*v).\nAnswer: -13*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -261473, -261468, -261463?\n\"Answer: 5*c - 261478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -146?\nAnswer: -43.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 8340756.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/4740 and -54\/5?\nAnswer: 4740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((30\/(-4))\/(-5)). Let o = 7 + -2. Which is the third smallest value? (a) u (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 9*o**2 - 12*o + 30. Calculate j(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.07 - -4.93. Let i = -786 - -785. Suppose y + 1 + 0 = 0. Which is the closest to i? (a) y (b) -4\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11766b3 (base 12) to base 15\nAnswer: -46ec90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 3*y**9\/56 - y**8\/168 - 163*y**5\/60 + 145*y**2. Find the third derivative of u(w) wrt w.\nAnswer: 3240*w**3 - 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**3 + c**2 - 6*c - 1. Let s be x(2). Suppose p - 5*q + 8 = 0, -9 = -3*p - q + s. Solve -16 = -3*j - p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2, -17, -30, -41, -50, -57?\n\"Answer: t**2 - 18*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = q - 4, -v + 19 = 7*q - 9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kskf when four letters picked without replacement from {s: 1, k: 2, f: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/((-1026)\/4266) - -48.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -177\/2 (c) -137\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -4*x**2 + 5*x + 1. Let s(a) be the second derivative of a**3\/6 - a**2\/2 - 12*a. Let q(t) = 2*j(t) + 10*s(t). Calculate q(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22\/15 + -56\/45. Let z = -5\/63 + d. Let w be -4 + 1 - -4 - -2. Which is the closest to 0.1? (a) 2 (b) w (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b9 + 1c?\nAnswer: 2d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -8. Let g(b) = -b**3 - 5*b**2. Let q be g(-5). Let n = q + x. Calculate the least common multiple of n and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 399*t + 1 - 18 + 6 + 11 to d*t + u and give d.\nAnswer: 399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -4.8 (c) 13\/103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9161\/5 or 1831?\nAnswer: 9161\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from toqcooxxqxoxtotoo. What is prob of picking 1 c, 1 t, and 1 o?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -3726?\nAnswer: 3733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1915\/7 - 274. Let g = -1.09153 - -4.09153. Which is the second biggest value? (a) -2 (b) y (c) 5\/2 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 1)*(19*u - u + 18*u - 3*u + 0*u + u + (-1 - 5 + 5)*(5*u - 2*u - 2*u)) as c + r*u and give r.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38111 or -38118?\nAnswer: -38118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 3) in base 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 222869448.312944 and -0.1.\nAnswer: 222869448.212944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**4\/4 + i**3 - 2*i**2 + 1. Let j be x(-4). Solve j*b - 3*b + 12 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-3)\/(-2)*(-174)\/(-3219))*(-10)\/40.\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 716, 693, 670, 653, 648, 661, 698?\n\"Answer: m**3 - 6*m**2 - 12*m + 733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(64)\/(-1*sqrt(2)) + -5*sqrt(160)\/sqrt(5))*3)**2*4*2.\nAnswer: 82944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 8:35 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.05 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2540, -2539, -2538, -2537, -2536?\n\"Answer: a - 2541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.11 - -0.11. Let m = 5 + r. Is m >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*s**3 + 4889*s**2 + 1304*s - 52432265 wrt s.\nAnswer: -6*s**2 + 9778*s + 1304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 236968.9 nanometers?\nAnswer: 0.02369689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 1. Let d = o + -6.944. Round d to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416543?\nAnswer: 416543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 3*t + 3, 7134*u = 7040*u - t + 474 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 24. Let v(l) = 2*l - 6*l**3 + 6 + 5*l**2 + 5*l**i - 2*l**3 + 2*l**3. Calculate v(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 7*i**2. Let c(r) = -1091*r**2. Determine h(c(t)).\nAnswer: 8331967*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65 - 67)\/((-3)\/((-15)\/(-2))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w - 1. Let x(i) = 3*i + 4*i - 5*i - 6*i + 5*i. Determine -2*q(l) + 6*x(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(28))**2*6*-2*-2.\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 167707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1471*j**4 + 13552*j**3 + 292842*j - 2 wrt j.\nAnswer: 17652*j**2 + 81312*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7562 and 9950?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 94.87548 grams?\nAnswer: 94875.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iijieel. What is prob of sequence jei?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 504735 = -3*c - 0*c, 0 = 5*m + 3*c - 841231. Suppose m = -2*w - 43752. Round w to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6494.\nAnswer: 2, 17, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118383, 236747, 355115, 473487, 591863, 710243, 828627?\nAnswer: 947015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -6411 + 3189 + 0*m + 2*m + 3194. Determine o(-7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 q, and 1 k when four letters picked without replacement from dhdddkddqkodqhdhdq.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/9 + 978948*p**3 + 2875017560112*p**2 + 2814492690436522176*p.\nAnswer: p*(p + 2936844)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**4 - 66388*i**2 - 28276 with respect to i.\nAnswer: -4*i**3 - 132776*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 820365102 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6318 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + 4*v**3 - v**3)*(-3 + 3 + 2)*(-64 + 115 + 392).\nAnswer: 886*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(48) - (sqrt(3) + (sqrt(3) + -2 + 5)**2).\nAnswer: -11 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 2*h**2 - 3*h + 4. Let g be z(3). Suppose -4*a - 92 = -4*x, -g*x = -7*x - 2*a + 44. Let b be x\/(-56) + 1\/(-4). Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - -39 - (-3 - -43)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5796 and 336?\nAnswer: 23184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - -d6?\nAnswer: de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -24965944.55 to the nearest 1000.\nAnswer: -24966000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l - 22. Let b be p(-6). Suppose 3*r = -6*k + 2*k - 15, -5*r = -3*k + 25. Suppose 0 = 5*q + w - 6600, k = b*w - 1 - 9. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/3 - 78910*j**2\/3.\nAnswer: 2*j**2*(j - 39455)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a second in milliseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-21)*l**(1\/7) assuming l is positive.\nAnswer: l**(-146\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 141*g + 411. Give w(-2).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 4, 9, 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 10*b + 17. What is n(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 3*k - 3*k)*(3*k + 0 + 0 + (-3*k + k + 3*k)*(-1 - 1 - 2)) - 18*k**2 - 18*k + 18*k.\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 7) to base 3\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2084*m - 112. Let t be d(4). What is the common denominator of ((-1440)\/t)\/(6\/(-152)) and 53\/160?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5 or 23028?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49745954 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 601636 + -307209. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15440255 and 5?\nAnswer: 15440255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1754834855?\nAnswer: 5, 67, 5238313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of (8 - -1)\/(61\/74054) - 3*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*385.62\nAnswer: -771.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 4.23932.\nAnswer: 4.63932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19\/12 + -7\/3. Suppose -h + 3 = -0*h. Suppose r = 5*k - 0*r - 10, 2*k + 13 = -h*r. Sort 0.2, g, k in decreasing order.\nAnswer: k, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7510650 divided by -210.\nAnswer: 35765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**1*c)\/c*c**(2\/7))\/(c\/c**(-1))**48)**(-40) assuming c is positive.\nAnswer: c**(26520\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-95)\/(-15) - 235\/(-141). Suppose 1134 = s + 2*s. Suppose 134 = 4*m - s. What is the greatest common divisor of h and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 22*r - 16. Let g(d) = -d - 1. Let o be g(-6). Let j(t) = -7*t + 5. Let b(s) = o*n(s) + 16*j(s). Let w(i) = 0*i**2 + 0*i**2 - i**2. Calculate b(w(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 628855 is divided by 44913.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**3 + 1 - 2*j**3 - 3*j**3 - 3 to s + o*j + b*j**3 + m*j**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1253960?\nAnswer: 2, 5, 23, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 114 = 4. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 4:08 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -675\/16 + 54635\/1296. Which is greater: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -12 - (-3 - (30 - 6)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 62 - 130 + 66 + 136*z**2 + (-2*z**2 - z**2 - 2*z**2)*(-2 + 5 + 0) in the form y*z + x*z**2 + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.13 + -0.130195. What is b rounded to 5 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/6)\/u**(-2))**(18\/7) assuming u is positive.\nAnswer: u**(39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 8 + 34 + -56 + 1?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 - 6.6. Let q = -6.05 - i. Let b = -2.15 + q. What is b rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -100 + 112. Let x(j) = -j + 7. Calculate x(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a millennium in centuries?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88.9 - 60.9. What is the second smallest value in 0, 0.03, 5, z?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/252 and 101\/105.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -11131220113?\nAnswer: 11131220122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 1450593 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 41393.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 14157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 + 41 - (-30 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 - 144*q**2 - 2442*q + 5476.\nAnswer: -2*(q - 2)*(q + 37)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -13 - 11. Suppose 2*z + 181 = 11. Let y be ((-136)\/z)\/((-4)\/(-90)). What is the highest common divisor of y and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 1312. Let s(x) be the third derivative of -x**4\/12 + 2*x**2 + 323. Calculate s(w(b)).\nAnswer: -2*b + 2624","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-15)*1*18\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - q = -8, -3*v + 4 = -4*v - 7*q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2073 = 123*g - 2702 + 347 for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4020000 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + -131204*7\/(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -107 - -382. Let v = -1545 + 1556. What is the greatest common factor of v and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**4 - 8*u**3 + 36*u**2 - 35*u + 4. Let s(t) = -t**4 + 4*t**3 - 18*t**2 + 18*t - 3. Let o(b) = 2*d(b) + 5*s(b). Factor o(r).\nAnswer: (r - 1)**3*(r + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 872 less than 5239\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1566 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (65 + -63)*(98\/4 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79020.900064 - 79022. Let r = -223.9 + 225. Let q = r + t. What is q rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 + l**2 - 4*l + 1. Let m(k) = 3*k**3 - 5*k + 9. Calculate m(x) - z(x).\nAnswer: x**3 - x**2 - x + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 415 + -410. Let y be (z - (2 + 2))*3. Are y and 54 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334876116?\nAnswer: 2, 3, 83, 336221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 4:06 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**4\/7 - 12631064*x**3\/7 - 164203604*x**2\/7 - 694707240*x\/7 - 135332550 = 0.\nAnswer: -6315519, -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 13, s: 5}. Give prob of sequence qqq.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 2:43 AM?\nAnswer: 383","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 19.\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2085033 divided by -122649\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 33089.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3403 divided by -41.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/9 + 17*l**3\/9 + 38*l**2\/9.\nAnswer: -l**2*(l - 19)*(l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4495*c - 1 = 4499*c - j, c = 5*j - 0*j + 90 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5056*f**6 + 2482*f**2 - 7958*f**2 + 354*f**4 - 354*f**4 wrt f.\nAnswer: -606720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 0 + 11\/24*p**4 + 3\/8*p**2 - 9\/40*p**5 - 1\/168*p**7 + 7\/120*p**6 - 13\/24*p**3 - 113*p. Factor t(f).\nAnswer: -(f - 3)*(f - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gzhhzzkggxd. Give prob of sequence zgxh.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1514 + 0.2514. Which is the nearest to 7\/2? (a) 3 (b) -3 (c) -1 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1998*s**2 - 2*s - 67 - 1996*s**2 + 61 + 5919*s**4 wrt s?\nAnswer: 142056*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/340*(-40)\/(-100). Is j equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-8)*8\/1. Let j(r) = 5*r**s - 6*r**3 + 0*r + r + 5*r**3 + 2 - 1. Let p be (-5)\/(-3 - -1 - -1). Give j(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4 = -2*c - 0*h, -2*h = -c - 1. Suppose -26*m - 54 = -28*m. Suppose -6*k = 3*k - m. Solve k*u + 3*r - 12 = 0, -r + c = -5*u - 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48005 = 994*n - 13682 + 36251 for n.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 321163 greater than or equal to 321162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1194, 1211, 1228?\nAnswer: 1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.38198416 and -0.213.\nAnswer: 0.16898416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 55\/10 - 1\/2. Solve -n + 5 = 0, -f*i - 2*n = -0*i + 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -7*d**2 - 4*d - 74 + 4*d**2 + 8*d + 4*d**2. Determine g(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -86 - -97. Suppose -y*l = -6*l - 345. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - r**2 + 12*r + 14. Calculate s(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 949313\/(-9492) - -104 - (12\/(-4) - -7).\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -124*s + 1074. Determine r(-18).\nAnswer: 3306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + 27. Let q = 10 - 4. Let h = -8 + q. What is the closest to 0.1 in v, 5, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-9)*-3)\/(81\/54)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 82591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1627848203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - f - 24 - 31, -4*f = -2*t + 22. Let s = t + -8. Let o = -24 - -41. Solve -s*k - 9 = 3*h, -2*k = 5*h + k + o for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*b - a + 18 = 83*b, -4*a + 36 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 15\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, u: 5, m: 1, j: 5, n: 2, p: 1}. Give prob of sequence un.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26881101 greater than 26881099?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + -2. What is the least common multiple of 12 and 14\/m - 112\/(-6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkq when four letters picked without replacement from {k: 17, q: 2}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o - 5 + 5 + o + 2*o - 4*o + (0 - 1 + 3)*(-o - 3*o + 3*o) + 1 - 1 - o + (3*o - 3*o + 4*o)*(-1 + 4 - 6).\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + -45 + (-12 - -45).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9592399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 437 - 1845 = 0. Suppose -5*f - 5*c + p = -4*f, -2*f + 4*c = -296. Calculate the greatest common divisor of f and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*s - 66672 = 65545 - 123006 for s.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 15*u**2 - 32*u**2 + 29*u**2. Let w(y) = 5*y. Determine w(o(h)).\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 4:16 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g - 9*g + 19*g = 135 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 b when four letters picked without replacement from wbbwwwbwfwbfwwwwgwgw?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q + 9*q + 5536 = 0. Suppose -5*p - 9 = -4, 2*p = 5*m - q. What is the remainder when m is divided by 48?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of l**4\/4 + 5*l**3\/3 - 25*l**2\/2 + 66*l. Calculate the smallest common multiple of o(3) and 8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11627 + -53?\nAnswer: -11681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2319416, 2319415, 2319414?\nAnswer: 2319413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -206788 and 136792.\nAnswer: -69996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -46, -36086?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22610 and 2128?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 5*w**2. Let y(s) = -2*s**2 + 14. Let z(x) = -x**2 + 5. Let l(u) = 5*y(u) - 14*z(u). What is l(c(m))?\nAnswer: 100*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 441\/(-735)*(-160)\/(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(3\/4)\/b)*b**9*b)**17)**(2\/29) assuming b is positive.\nAnswer: b**(765\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + ((4*sqrt(72))\/(sqrt(6) - sqrt(18)\/sqrt(3)*5)*-1*-2)**2*-6.\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 3*i - 127. Suppose 0 = p - 38 - i. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.012 - -6.012. Which is the biggest value? (a) -2 (b) -0.2 (c) -5 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5476 + 5476 + 3*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 42*x - 33. Let f(k) = 2*k + 3. Let c(q) = 2*f(q) + l(q). What is the remainder when 205 is divided by c(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1807 - 1789. Solve -4*v - 28 = 5*b, 15*b - 12 = d*b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 197776070?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*f + 7 - 3)*(6 - 1 - 1).\nAnswer: -8*f + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1\/8 (b) -2\/41 (c) 1\/3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(550) + sqrt(550)*-2)*6)\/(((sqrt(55) - sqrt(165)\/sqrt(3)) + sqrt(55))\/sqrt(5)))**2.\nAnswer: 120*sqrt(2) + 1804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.1 - -5. Let p = -3.1 - w. Let d = -1\/15 + -13\/30. Which is smaller: p or d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 7 + 5 - 447053*w**2 + 5 + 413402*w**2 + (-3*w + 6*w - 2*w)*(-3*w - 4*w + 4*w) in the form l*w**2 + x*w + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -12218, 1\/2, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -375?\nAnswer: -37a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.73 - 0.07. Let x = -2 - i. Suppose -j + l = 2*j, 0 = l - 3. Which is the second biggest value? (a) j (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 3*u - 298*m + 304*m, 4*u - 2*m + 12 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 170*j - 8638. What is d(50)?\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 11574*c**2 + 0*c - 11573*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21.4 - -21. Let n = -115.95 + 116. Sort n, 0, t, -1\/2.\nAnswer: -1\/2, t, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -36740000 to the nearest one million.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 6*k + 7. Let l be u(-7). Solve -1 - l = -3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-44)\/(-14))\/11*(-1)\/(-1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 267, 1047, 2339, 4137, 6435, 9227?\nAnswer: 12507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48668.8 kilometers to centimeters.\nAnswer: 4866880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3030647 (base 8) in base 7?\nAnswer: 6535602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60 + 116. Let y be (1704\/(-14) - 16\/r)\/(-1). Let n = y + -107. Solve -c = 4*c - n for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 l when four letters picked without replacement from lolloolllolloolooo.\nAnswer: 36\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i + 477 + 451. Let k = -63 + i. Is k a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = q. Suppose -4*p + q + 116 = 0. Let k be 1\/8 - 390\/(-80). Solve -k*i - p = -z, 11 = -3*i - 0*z - z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1654832810?\nAnswer: 2, 5, 165483281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 39 = -18. Let m(s) = s + 3. Let z(u) = -2*u - 2. Let p be z(-3). Let w be m(p). Calculate the greatest common divisor of w and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61456)\/(-5010)*75\/(-10).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -h - 4. Let z be 0 - (h\/(-21) + -1). Suppose -2*m - 16 = 2*m. Which is the nearest to 0.1? (a) z (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 2)\/(-31 - -34). Which is smaller: t or -1\/28?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(6)*3)\/sqrt(2) + -2 - 4*(sqrt(300)*-1 + -5).\nAnswer: 13 + 43*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/2730 and 173\/167370.\nAnswer: 2175810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*i**3 - 70*i**3 + 28*i**3 + 24*i**3 - i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 29. Suppose y*b = b + 6. Solve 4*t + 6 = -3*s + b, -4*t - 2*s - 2 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/72*(265 - 258).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -548, -556, -562, -566?\n\"Answer: h**2 - 11*h - 538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 306520 and 948?\nAnswer: 919560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3472 - -315. Let y = 5634 - c. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3087 times 137?\nAnswer: 422919","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -208817\/32 or -6527?\nAnswer: -208817\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 13, 1\/77, -4\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*c = 10, -3*b + 2*b - 17 = 5*c. Let u be 3 + (-4 - (-3 + b)). Solve -u*g - 4*s + 3*s = 25, g + 4*s = -25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38636730 and 405?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**7\/21 - 4*k**6\/15 - 3*k**5\/5 - 2*k**4\/3 - k**3\/3 + 21*k. Factor y(q).\nAnswer: -2*q*(q + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r - 5*r + 6. Let n = r + 2. Solve 2*u + 2*u - 16 = n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*c - 34*c = 0. Solve c*v + 3 = v - 2*x, 3*v = 3*x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 1 + 2*b - 8*b)*(4*b**3 - 5*b**3 + 2*b**3) - 210*b**4 - 234*b**4 + 9*b**4.\nAnswer: -438*b**4 - b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 230802, 234042, 237296, 240570, 243870?\n\"Answer: x**3 + x**2 + 3230*x + 227570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 656 + -671 + (-4 - (6 + -3)) + 0?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/5)\/((-22)\/(-55)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/75894 and 19\/5004?\nAnswer: 455364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001100 + 10101100?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 4*i. Let t be d(-5). Suppose -3*o - 9 = 5*f, 0 = -2*f + f. Let a = o + 5. Sort a, -3, t in ascending order.\nAnswer: t, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -887, 0, 2\/1889, 2\/7 in descending order.\nAnswer: 2\/7, 2\/1889, 0, -887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 15*b + 54. Let y be u(-12). Suppose y*o = 1299 + 3489. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*o**2 + 7*o**2 + 5*o**2 - 6*o**2 + 4*o**3.\nAnswer: 4*o**3 + 37*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 11544660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1082 (b) -3\/17 (c) -0.1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -5 - (12 + -16) - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69685193 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7061*c + 7057*c = -5*g - 530, -225 = c + 2*g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*g**4 - 39*g**4 - 20*g**6 + 74*g**4 - 35*g**2 wrt g?\nAnswer: -2400*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 1801*a**2. Let b(p) = 1059*p**2 + p. What is b(r(v))?\nAnswer: 3434973459*v**4 + 1801*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -6*i - 83. Let g(t) = t - 38. Let u(q) = -2*g(q) + j(q). Determine u(2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j**2 - 56*j + 486. Give n(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 341, 367, 367, 299, 121?\n\"Answer: -7*w**3 + 29*w**2 - 12*w + 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 221 - 496. Let w = -274 - j. Let o(p) = -10*p - 1. Let d(b) = -b. Give w*o(r) - 2*d(r).\nAnswer: -8*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -196*r + 194*r + 848. Let h = 721 - r. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 104?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1486608 * 3.\nAnswer: -4459824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 6 + 6 + -11 + -65\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 201649.4 millimeters in nanometers?\nAnswer: 201649400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -7*r**3\/3 - r**2 + r + 1. Let u be (4 - 16)\/(-4) - 2. Determine z(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1386.651 - 1386. Let c = 0.7 - v. Is -0.1 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**5\/45 + 2*b**4\/27 + 2*b**3\/27 - 4*b**2\/9 + 296*b. Factor g(q).\nAnswer: -4*(q - 2)*(q - 1)*(q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*f = 0. Let u be (3 + 90\/(-25))\/(195\/(-6175)). Let q = 7 + -3. Solve f = -q*d + u + 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/9 and 940\/144 - 22\/(-88)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 divided by -6?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-2) - 1)*-1. Let o(y) = 1 - y + 5 - t - 4*y**2 + 3*y**2. Let c be o(0). Solve 2*b = c + 6 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13616 and 201204?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 48*p**2 - 33*p + 122. Let n be h(47). Suppose -2*o = 5*v - 51, -3*v - o + 31 = -0*o. Suppose 8*b = v*b - n. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129440699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11049768799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 19, 6, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -252*f + 237*f - 30 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29595049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g + 7*g + 0*g)*(-24 - 40 - 76).\nAnswer: -1820*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a millimeter in micrometers?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/308210325 and -56\/22551975?\nAnswer: 924630975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 86526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.54 minus -0.0678?\nAnswer: -3.4722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by 14661232\nAnswer: 19\/14661232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 5:01 PM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001291 rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -54?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1279946\/57 < -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (6669\/252)\/13. Which is the second biggest value? (a) z (b) -4\/9 (c) -2\/3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 1:10 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f - 5. Let a(p) = -p**2 + 5*p + 3. Let r be a(4). Let t be d(r). Suppose 4*y + 2 = t*k - 16, -3*k + 55 = y. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 3061*c**4 - c**2 + 2 - c**3 + 11*c + 2*c**3 - 3060*c**4 as a + o*c + f*c**4 + v*c**3 + i*c**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**2 + 6*j**2 + 4*j**3 - 10*j**2.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 0*t**6 + 0*t + 0 + 0*t**3 + t**2 - 1\/105*t**7 + 0*t**4 - 1\/30*t**5. Find the third derivative of b(r) wrt r.\nAnswer: -48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 < 98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5638 + 58?\nAnswer: 5696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1406 + -1405. Solve 48*o + g = 49*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 + 2*o**3 - o**3)*((3 - 3 - 2)*(-o + 3*o + 0*o) + 0*o + 0*o + 2*o).\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5608.76 times -1\nAnswer: 5608.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5.8, -4\/13, -5, -2, -1\/77?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4254823297.\nAnswer: 43, 557, 177647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 13*n - 2*s = 698, 3*n - 5*s - 520 = 0. What is the remainder when 178 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -10. Suppose n*g = -g + 124. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218651054561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 467421023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g - 39. Let w(z) = z - 39. Calculate -4*u(d) + 6*w(d).\nAnswer: 2*d - 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13020 + -3232313?\nAnswer: -3213233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 678 and 90.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6397611*u**3 + u - 2*u - 6397609*u**3 - 27 - 6 + 4*u**2 as w + y*u + n*u**3 + t*u**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*p + 14, 6 = -5*p + 2*j - j. Let g be 5\/(27 + p) - (-38)\/10. Suppose n = g*n - 6. Solve -5*m + 0*v - 3*v - 16 = 0, -13 = n*m - v for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 != -2255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56127 divided by 4.\nAnswer: 56127\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 245154502 (base 6) in base 16?\nAnswer: 482306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536 is divided by 81.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6402513 - 4?\nAnswer: 6402507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1408 and 44.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-32)\/(-10) + 3\/(-15). Let j be 5\/80*4 - 22\/(-8). Suppose 12 = o + 3*l, -j*o + l = -n*l - 23. What is the greatest common factor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m**3 + 2*m**3 + 0*m**3)*((-3 + 1 + 4)*(-2*m + 2*m + 2*m) - 13619*m + 6805*m + 6802*m + 3) as y*m + u*m**2 + k*m**4 + o*m**3 + b and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 2*i - 38, -4*i = 5*j - i - 48. Suppose 2*d + d = j. Suppose d*k + 3*h - 27 = 0, 7 + 3 = -2*h. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2*(2 + 481\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.402336 to two decimal places.\nAnswer: 18.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.08301 * -3455\nAnswer: 286.79955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 0*d + 10. Solve -6*w + 3*g = -2*w + d, 3*g - 11 = 5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 5:30 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 - -15. Let b = -43\/3 - c. What is the closest to -1 in 0.4, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.113? (a) 2\/5 (b) 58 (c) -0.5 (d) -0.6 (e) 54 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 158265 bigger than 8388102\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*y**3 - y - 17*y**3 - 3*y**4 + 1 - 2 to r*y**4 + d*y**2 + b + q*y + g*y**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a - 7. Suppose 0 = -4*p - 3 - 9. Let r be u(p). What is the third derivative of -42*w**4 + 4*w**r - 3 + 3 + 58*w**4 wrt w?\nAnswer: 384*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196453 is divided by 3704.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 2)*(4 + 2*w - 4) + 8 + 2*w - 8 + (-1 - 2 + 0)*(-3*w + 11*w - w) + w - 2*w + 17*w as t*w + m and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1 = 5*k, 5*k + 0*k = 4*s + 21. Let h be (-6 + 2)*k\/(-2). Suppose -3*i = h*i - 25. Solve 0*b - 5*b + i = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*w - 6 + 0 = 0, -14 = -3*b - 4*w. Suppose 0*n - 8 = -b*n. What is the second derivative of -22*l**4 + 4*l**3 + 25*l**n - 2*l - 4*l**3 wrt l?\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49935*a + 66110*a + 109231*a.\nAnswer: 125406*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 5*j - 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3737, -14984, -33733, -59984?\nAnswer: -93737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**4\/4 - 7*b**3\/6 + 9*b**2\/2 + 3*b. Is g(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p = -23*p - 4039. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -368 - -409. Suppose a*w + 2*i = 43*w - 96220, 0 = w + 5*i - 48110. What is w rounded to the nearest one thousand?\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -19\/6. Let n = -124.444 - -124. Let r = 0.044 + n. Which is the fourth smallest value? (a) t (b) 3 (c) -2 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ppgpg?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/7*10\/120.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -32 - 0. Let j be (5\/(-20) - (-2997)\/y)\/(-1). What are the prime factors of j*(-2)\/8 - (-42)\/56?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-5))\/((-19)\/(-57)). Sort q, 0.2, 2\/3.\nAnswer: 0.2, q, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 - -2 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1694430 at most 1694430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - p**2)*((0*p**3 + 2*p**3 + 0*p**3)*(-5 + 1 + 3) - 354*p + 354*p - 27*p**3).\nAnswer: 29*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*c + c + 21*c - 383535 = 0. Does 8524 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-2\/5)*i)**1)**19)**(-2\/9) assuming i is positive.\nAnswer: i**(-304\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 5:01 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 74*d**3\/7 + 865206*d**2\/7 + 361282800*d - 68351432\/7 = 0.\nAnswer: -5846, 1\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13767.974 + 13848. Let l = 0.026 - m. Let w = -79.92 - l. Sort 0.1, -0.4, w.\nAnswer: -0.4, w, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2 + s. Let p be w(1). Suppose -p*m + 166 = -194. Let b = 64 - 46. Calculate the highest common divisor of m and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 6*x**2 - x - 2. Let y be i(-6). Suppose -y*j + 9 = -11. Solve j = -0*p - 5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z. Let d(q) = 3*q**2 - 3*q**2 - 2*q**2. Calculate h(d(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/309 + -2159\/618. What is the common denominator of (-1)\/(-2) - (-288)\/240 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193462 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -66394, -0.4, 3, 5, 0, 1?\nAnswer: -66394","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -117 and 0.1.\nAnswer: -11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1399, -5852, -13279, -23674, -37031, -53344, -72607?\nAnswer: -94814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by -206.\nAnswer: -29\/206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + 0. Suppose -3*c - l + 14 = 0, 0 = -3*l + l + 4. Suppose 0 = c*k + 4, k = 2*z - 0 + 1. Sort o, 1, z in decreasing order.\nAnswer: o, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 42\/(-35)*(-5)\/2. Suppose -w*g - 8 = -g. Is (2\/g)\/(-1)*24 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -47 + 37, 0 = x - 10*d - 58. Let y = -100 + 176. Which is greater: y or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13983)\/474)\/((-35)\/(-140))?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(27) - sqrt(96)\/sqrt(2) - ((sqrt(324)*-2)\/sqrt(12) - (sqrt(3888)*-2)**2).\nAnswer: 5*sqrt(3) + 15548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1951 = 43*h - 8745. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168325 = -1270*v + 50215 for v.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -20 + 12. Solve g = -b + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -2\/45*z**5 + 2\/27*z**3 + 91 - 1\/9*z**4 + 2\/9*z**2 + 0*z. Factor q(b).\nAnswer: -2*b*(b - 1)*(b + 1)*(b + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 559400 is divided by 2511?\nAnswer: 1958","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 165, 245, 315, 369?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**3 - 200*p**2 + 196*p - 467. Give j(-101).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-105 + 58 + 58)*(0 + o**3 + 0).\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -11*g**2 + 1 + 5 - g**3 + 33*g**2 - 16*g + 5. Let v be n(21). Let q = 202 - v. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77762, 155471, 233130, 310739, 388298?\nAnswer: 465807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -6*a - 11. Let o(g) = 7*g + 12. Let c(f) = -2*f**2 - 10*f + 606. Let n be c(15). Determine n*z(s) + 5*o(s).\nAnswer: -s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*r = -58*r - 253. Solve -24 = -5*z + 3*v, 4*v = -r - 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 31*a**3 - 481*a**2 - 227*a - 203. Determine n(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 10) to base 16\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*sqrt(2) + 0 + sqrt(200).\nAnswer: -2 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x**(-2)*x))**(-2\/173)\/(x**12\/(x**(-11)*x)) assuming x is positive.\nAnswer: x**(-3812\/173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/3 - 53\/159.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 11*s**2 + 27*s + 20. Let a be f(-13). Suppose -a*b + 123 = -1634. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344*u + 8 = 352*u. Let s(m) = 13*m**3 + 5*m**2 + 1. Let r(n) = n - 2. Let l be r(1). Let b(i) = i**2. Let x(c) = l*s(c) + 6*b(c). What is x(u)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 10. What is the closest to x in -1\/8, 2\/5, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2032145474?\nAnswer: 2, 1016072737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c + 5. Let v(d) = -d**2 + 6*d. Let m be v(6). Let k be p(m). Suppose 0 = k*q - 7*q + 100. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-3 - (210\/(-48) - -1)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3353*s - 110652. Calculate x(-33).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26814*a + 26698*a = 748 + 3776 for a.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 430021 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 858884.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -530.6800096431 + 530.68. Round q to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 387 - 387. What is the closest to g in -2\/11, -0.5, -8?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 3114\nAnswer: 3114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -29802 and -119207\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1048 = o, 328*g = 330*g - 6. Does 95 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.1 + -3.1. Let z = -3 + 2.9. Sort -0.2, z, k in decreasing order.\nAnswer: z, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 - -49. Sort r, -1, -2\/7, -4.\nAnswer: -4, -1, -2\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/19 + 88*w**2\/19 + 384*w\/19.\nAnswer: -2*w*(w - 48)*(w + 4)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (1 + 2) - (-2 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 + -257 + 198 + 34.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 1\/4, 39\/14, 25, -2, -1\/2, 1\/419?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 - -4037526.\nAnswer: 4037444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.446325072 rounded to 1 dp?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 2*l**2 - 1. Let i(x) = -150990*x + 75546*x - 21 + 75445*x. What is i(n(c))?\nAnswer: 4*c - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hgllhllhllhlhgl. What is prob of picking 4 l?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 822623 is divided by 102.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 10 = -4*n, 0 = -3*n + 5*h + 4 + 6. Suppose n = 2*v + 3*v - 4*x - 41, x = -v + 1. Let u = 12 - v. Solve 20 = u*t - 2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.14 (b) 4 (c) -5 (d) -0.6 (e) -0.3 (f) -1\/3 (g) 1567\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/15)\/((-3)\/(-9)). Solve 5*c - l = 6*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216\/(-28) + (3 - -5).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -1 + 11*g - 28*g + 16*g + 14*g**2 + 0. List the prime factors of k(-2).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*f + 3 - 7 + 4 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 10419388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**8\/6720 - q**7\/420 + q**6\/720 + q**5\/40 - 7*q**4\/6 - 16*q. Let w(y) be the third derivative of f(y). What is w(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 23*j**4\/24 + 14*j**3\/3 + 11*j**2. Let r = -187 + 193. List the prime factors of q(r).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 26*f**2 + 183*f + 101. Determine v(-9).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 0 + 1\/11*d**5 - 2\/11*d - 5\/11*d**2 + 1\/11*d**4 - 3\/11*d**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 + (-24)\/15 + 6)*15. Sort h, 0, 1, -5.\nAnswer: h, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*t + 36851 = 36737 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**2 - v**2 - v**2 + (2 + 2*v - 2)*(-2*v - 1 + 1) + 67*v**2 + 4*v**2 - 8*v**2 to the form x + w*v**2 + i*v and give w.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -299.96 + 326.026. Round z to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123704248 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(720) + -1) + -6*sqrt(50)\/(sqrt(40)*2).\nAnswer: -51*sqrt(5)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/7 + 106*d**3\/7 + 112*d**2.\nAnswer: d**2*(d + 8)*(d + 98)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 k when three letters picked without replacement from {k: 16, g: 3, y: 1}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29.2 - -11.9. Let g = -15 - t. Let x = 1.51 - g. What is x rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15142, -30482, -45822?\n\"Answer: -15340*m + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -285?\nAnswer: 28a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 871 and 877 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 38186511 to the power of 1\/3, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c**4 - 15487441*c + 15451868 wrt c.\nAnswer: -8*c**3 - 15487441","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (6 - ((-1 - -1) + 3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(475) + 1) - 4*(-1 + sqrt(475))) + 1)**2 + (-6*((sqrt(1900)*-1 - sqrt(1900)) + -4 + sqrt(1900))*-5)**2.\nAnswer: 71820*sqrt(19) + 1728711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/6 + 1673699*d**2\/3 - 6694778*d + 20084316.\nAnswer: -(d - 3347386)*(d - 6)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 49*b**2 + 402*b + 175. What is d(-54)?\nAnswer: -6953","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, t: 1, d: 2, g: 3, p: 6}. What is prob of picking 2 d and 1 g?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/399 - 1189\/1596. Calculate the common denominator of -67\/4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 * 0.09162\nAnswer: -0.073296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 11:44 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -83 + 329\/4. Let n = -0.8 - -0.9. Which is the nearest to n? (a) 1\/4 (b) 1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 8. Suppose -2*n + 6 = l, r*l - 12 = 2*n - 4*n. Let z be (2310\/24)\/(l\/(-16)). Round z to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2. Let d(i) = -164010*i**2. Give p(d(a)).\nAnswer: 53798560200*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6) - (-256)\/(-12) - (-60268)\/793.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 110\/9 + (-6)\/27. Let m = -52 + 51. Let k be (m\/2)\/(z\/(-24)). Solve -4*j + 11 = -k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9651.696 months in millennia?\nAnswer: 0.804308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i + 15. Let n(o) = 15*o - 46. Let t(h) = -4*n(h) - 14*y(h). Let w(j) = -2*j + 5. Determine 2*t(r) + 11*w(r).\nAnswer: -2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-0.05622.\nAnswer: -0.39354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/212 and 133\/1894750.\nAnswer: 3789500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/18 - 61\/(-3). Let v = -16 + k. Solve -4*h - f + v*f = 0, -2*h - 4*f + 6 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -1 + (10 - 10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16.94 + -17. Which is the nearest to -0.2? (a) 0.2 (b) 0 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 w, and 1 n when four letters picked without replacement from tnweeevwwevndd.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 56\/(-49) - (-897)\/(-91). Let m(u) = -u**3 - 13*u**2 - 25*u - 11. Calculate m(l).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 15\/907?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 310 + 2?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -20. Solve 1 = x*a - a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (8 - ((-33 - -41) + (0 - 3)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 1, -121, 1233, -5, 0.\nAnswer: -121, -5, -1, 0, 1, 5, 1233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9\/10 of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**3\/3 + 2*i**2 + 8*i + 35. Calculate the remainder when 56 is divided by y(3).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -965431*y + 965436. Give z(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -200162, -200161, -200158, -200153, -200146?\n\"Answer: r**2 - 2*r - 200161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 900?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 236458046707234.\nAnswer: 236458046707233.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + (sqrt(684) - (sqrt(684) - (-2*sqrt(684) + 4))) + -1)**2.\nAnswer: -24*sqrt(19) + 2737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53776 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -12. Suppose -1 = f*x - 4*w + 10, -2*x - 4*w + 26 = 0. Suppose -x*g = 2*g - 185. Calculate the greatest common factor of g and 370.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 511 and 4453?\nAnswer: 31171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78256 is divided by 243.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 515*s - 121477. Determine a(-177).\nAnswer: 1007","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 48311007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17806888 divided by -1047464.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = b - 2*u - 105, 0 = 3*b - 2*u - 336. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4771520 rounded to the nearest 10000?\nAnswer: -4770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1, -1 in increasing order.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.63049795 rounded to 3 decimal places?\nAnswer: -3.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 3*j = 0. Let c(v) be the first derivative of 0*v**2 + 4*v**2 + j - 2 - 3*v**2. Let m(h) = h. Give m(c(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/3 + 50992*w**2\/3 - 1735462*w\/3 + 4918780.\nAnswer: 2*(w - 17)**2*(w + 25530)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/((-9)\/(-135)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74347*u + 76024*u - 162669 = 0 for u.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -87 + 393. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0722698 kilometers to millimeters.\nAnswer: 72269.8","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 1686921203 a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -1455000?\nAnswer: 1454555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22843.311 rounded to the nearest ten?\nAnswer: 22840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 1. Is (m - -27) + 2 + 1 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 7*x - 9. Suppose 2*y - 2*u - 35 = -u, 5*u + 15 = 0. Calculate the remainder when b(8) is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j**4 - 8*j**3 - 24*j + 1 - 4 + 52*j - 26*j in the form r*j**4 + f*j + b*j**2 + i*j**3 + p and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -t**4\/24 - t**3\/6 - 24*t**2. Let i(m) = -m - 1. What is -5*i(q) + 4*p(q)?\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 1:34 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*y - 90*y + 85 = 3*b, 0 = 4*b + 4*y + 92 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(2057) + sqrt(2057) + 0 - (sqrt(170) + -3*sqrt(170) - sqrt(170))\/sqrt(10)).\nAnswer: 100*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2. Let u(v) = 8*v**2 - v + 2. Let g = -207 + 212. Suppose c = g*l - c - 26, 3*l + 2*c - 22 = 0. Calculate l*a(i) + u(i).\nAnswer: 2*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t - 23. Let o be a(11). Let x be o\/(-6) + 202\/12. Suppose -37 = -v + 4*r, v = -r - 0*r + x. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 18\/9*25\/(-10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 883.22.\nAnswer: 883.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (240\/(-120)*(-12)\/2)\/(2\/1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 343*c**4 + 2*c**3 + 1833*c**2 wrt c?\nAnswer: 8232*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1335 (b) 108 (c) -0.5 (d) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1322 - -102?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-7) - (-33)\/21. Suppose 0 = 2*q - 4*q - p. Does 12 divide 121 + 2\/(q - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/101, -0.0766, -4 in increasing order.\nAnswer: -4, -0.0766, 3\/101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x**3 - 17411*x**2 + 6414292*x + 1834076 = 0 for x.\nAnswer: -2813, -2\/7, 326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13575965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 (base 6) in base 10?\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-20)*7\/((-56)\/(-60)). Which is the third biggest value? (a) 1 (b) -0.05 (c) u (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/2 - 15997*k\/2 - 1325202.\nAnswer: (k - 16161)*(k + 164)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -85587.3 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 + 37 = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + t**2 + 2*t - 3. Let w be q(3). Let g = -36 + w. Calculate the lowest common multiple of 8 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*p**2*y + 23*p**2 + 3*p*y + 29*y - 27 with respect to p.\nAnswer: -6*p*y + 46*p + 3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1333.\nAnswer: 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*j - 119988 = 0, -5*t - 2*j + 75561 = -74445. Suppose 3*a = -2*a - t. Let x = 36113\/6 + a. Calculate the common denominator of 55\/12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 6*s**2 + s - 2. Let i(n) = 897*n**3 + 29*n**2 - 6*n + 12. Give i(f) + 5*x(f).\nAnswer: 902*f**3 - f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -6*p + 2*p + 2*i, i + 1 = 0. Let o(w) = -8924 + 8924 + 2*w**p. Let s(c) = -2*c - 23. What is s(o(m))?\nAnswer: -4*m**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03189592 - -0.0319. What is y rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 3*r + 2. Give l(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.1 - -1.1. Let r = -4.91 - 0.07. Let g = r - 0.02. What is the biggest value in g, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -315 + 650. Suppose -a - t = -5*j + 57, 4*j - 322 = -2*a. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70841 + 8867 = 3*o + 5*l, -53155 = -2*o - l. What is the ten thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 - -1181657?\nAnswer: 1181642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.01 + 4.99. Let q(m) = -4*m**2 - 125*m + 896. Let v be q(6). What is the closest to -0.6 in v, -0.4, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -74019.\nAnswer: -296076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.5 - 0. Let c = n + 3.54. Let l = -0.75 + c. Round l to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**4 - 26*q**3 + 60*q**2 + 1322*q + 1235 = 0?\nAnswer: -5, -1, 13, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*v - 190*v - 40 = 0. Sort v, -2, 5, 4 in increasing order.\nAnswer: v, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 11:51 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 57 divided by -1\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -5 (c) 20\/39 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38 and 418?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.088 in -0.2, 14\/3, 4, 12, -0.05, 0.2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24994 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 580, 1191, 1800, 2407, 3012?\nAnswer: 3615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.100234 + -15.1. What is u rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.55322623895 - 61\nAnswer: -61.55322623895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -58254 and -57865 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -80.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*((sqrt(152) + sqrt(152) + 1*sqrt(152)*1 - sqrt(152))\/sqrt(8) - ((sqrt(19)*-2 + -5 - sqrt(19)) + -4*sqrt(38)\/sqrt(2) + sqrt(19))))*1*6.\nAnswer: 78 + 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 882*o + 4663 + 11861 = 729*o for o.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(-2))\/(q*q*(q**(2\/9)\/q)\/q*q))\/(q**10\/q*q*q\/((q\/(q**(2\/23)*q))\/q)))**21 assuming q is positive.\nAnswer: q**(-14938\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6811?\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/6)*y)\/y*y\/y**(-2))\/(y**(-3)\/(y*y*(y*y*y**5*y)\/y)) assuming y is positive.\nAnswer: y**(91\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.088? (a) -5 (b) 1 (c) -0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2616856 and 16344?\nAnswer: 23551704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = m - 3*m. Let i be 6\/m + 7\/14. Factor 0*a + 0 - 2\/5*a**4 + i*a**3 - 2\/5*a**2.\nAnswer: -2*a**2*(a - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -142294754.\nAnswer: -42688426.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 3*q**2 - 5*q**2)*(1684067 - 1684067 - 2246*q**3).\nAnswer: 2246*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-7) + -2 + (-1452)\/(-84). Suppose -2*i + 4*f - w = 17, 3*f = -i + 8. Which is smaller: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 212?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*w - 6*w + 3*w)*(2*w + 2*w + 0*w)*(2 - 2 + 3).\nAnswer: -144*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -37915, -37939, -37969, -38011, -38071, -38155, -38269, -38419?\n\"Answer: -v**3 + 3*v**2 - 26*v - 37891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1374438 divided by -52863.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 188.166 + -188. Let q = 0.16646 - k. What is q rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.23 + 4.23. Let j = -4.88 - 0.12. What is the second smallest value in n, j, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**3 - 52816*o**2 - 422916*o + 1743984 = 0. Calculate o.\nAnswer: -11, 3, 13212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65 - 68. List the prime factors of -2 - (s - -2)*(300 + 3).\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*z - 4 + 21, 5*z - 10 = -2*r. Suppose 0*g = 2*v - z*g + 12, 0 = 4*v - 3*g + 9. Suppose -4*i + 2*i + 12 = v. Which is greater: 7 or i?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6082 less than -75.0479?\nAnswer: -6157.0479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -263\/12 - -1367\/60. Calculate the common denominator of 66\/35 and b.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -11*g + 10*g - 4*s, 4*g = -5*s + 61. Let y(h) = 2*h**2 + 6*h + 3. Let k be y(-3). Solve -3 - g = -k*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x = -2*b - 17*x + x + 40, b = -5*x - 76 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + 9. Let m = -32 + i. Let c = 9.3 + m. What is the smallest value in 2\/11, c, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-300))\/((-2)\/10)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from zzbffzzzbfbbzzzz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6702491 to the power of 1\/2, to the nearest integer?\nAnswer: 2589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/3)\/((21 - 7)\/7). Sort 1\/2, b, 4\/29, -2.\nAnswer: -2, 4\/29, 1\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -106*p**2 - 6574*p + 816. Give v(-62).\nAnswer: 940","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1394 - 1390. Let d(v) be the third derivative of 1\/30*v**5 + 0*v + 0 + 9*v**2 + 16\/27*v**3 - 2\/9*v**r. Find x such that d(x) = 0.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 2 - 10)*(-3*h - 2*h - 2*h).\nAnswer: 175*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 142*r**3 + 103 wrt r.\nAnswer: 426*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -4, 142417, -1, -6 in decreasing order.\nAnswer: 142417, 5, 1, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -17*f - 481. What is g(-26)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 7. Let g = u - -8. Suppose w - 2 + 3 = 0, -g*w + 70 = 3*o. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 1331?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 7*z + 39 - 5 = 0, 3*s - z = 51. Solve 0 = 4*j + 5*i + s + 14, -5*i - 35 = 5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(2))\/sqrt(9) - sqrt(1323).\nAnswer: -20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3559 + 3777. Solve 0 = 6*k - 200 + y for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3090.49mg to tonnes.\nAnswer: 0.00000309049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.14 in -0.2, 0.0937, -1\/8, 3, -0.5?\nAnswer: 0.0937","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - ((1 - -14) + 45 + -55 + -13) - 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -135, -101, -9, 171, 469?\n\"Answer: 5*f**3 - f**2 + 2*f - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -1207, -3, 5, 0 in ascending order.\nAnswer: -1207, -3, 0, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 - 3*m**3 - 34*m**3 - 10*m**3 + 33*m**3.\nAnswer: -15*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (13 - 6) + -7 - (7 + 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 153 and 153?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -812*h + 68 - 5*h**2 + 811*h + 68.\nAnswer: -5*h**2 - h + 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1224 = 6*s + 63*s. Let i be 43\/2 - 2\/(-4). Suppose 3*g - s = g - 2*w, 2*g + 3*w = i. Solve 3*z + 3*l - 9 = 0, g*l + 28 = 4*z + l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -6*o - 162. Calculate n(-32).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**4\/3 - 18*l**3 + 362*l**2\/3 + 18*l - 364\/3 = 0?\nAnswer: -1, 1, 13, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*3\/(27\/6).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -2. Suppose -17 = -c*o + 99. What is the remainder when o is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 60976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.98844 and -170959732?\nAnswer: 170959734.98844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5\/6 (b) -2\/3 (c) 3\/8 (d) 6 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24364183*g**2 - 238823785?\nAnswer: -48728366*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1031211 - 1102?\nAnswer: -1032313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -99*d + 691. What is n(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 160721 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -0.3. Let y = 0.1 + q. Let w = -20.433 - -23.433. Which is the third biggest value? (a) y (b) 0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -37*a - 6. Let w(l) = -38*l - 5. Calculate -6*h(q) + 7*w(q).\nAnswer: -44*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, 8, -87, -9?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 32 + 478. Let s = p - 120. Calculate the greatest common factor of s and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 36.757\nAnswer: -14.7028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -15866, 4, 3, 0 in descending order.\nAnswer: 4, 3, 0, -1, -3, -15866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-143)*(-1)\/(-1).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 284672938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4065)\/(-16260))\/(14\/8)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111100 (base 2) to base 15.\nAnswer: 11c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*v + 2 = 0, 3*f - 2*v - 34 = 3*v. Solve -3*y - 2*h + 0*h - 20 = 0, -f*h = 5*y + 32 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k - 50 = 190. Suppose -2*b + k = 4*r, 2*r - 20 = -3*r + 5*b. Put 4, r, 0, 12 in descending order.\nAnswer: 12, 4, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2173, 3541, 4873, 6175, 7453, 8713, 9961, 11203?\nAnswer: 12445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - 2*sqrt(88)*3)\/(-2*sqrt(288)).\nAnswer: 5*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(5\/6))\/(f*f\/(f**(3\/10)*f*f*f)))**(-1\/21))**(-1\/10) assuming f is positive.\nAnswer: f**(11\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 8*i - 10. Let m = 20 + -29. Let d be s(m). Let w = 31.6 + -32. What is the closest to 2 in 1, w, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-621)\/2760*-25*2\/(-6)?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 133*k - 1745. Let x(g) = 94*g - 1165. Give -5*r(c) + 7*x(c).\nAnswer: -7*c + 570","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1755 divided by 117\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -35\/219 (b) -12 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -19 + -4 + 15 - 0\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/24 not equal to -0.19301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, -4, -0.06, 1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -a**6\/360 + a**5\/10 - 11*a**4\/24 - 13*a**3\/6 - 18*a**2 - 2*a. Let g(d) be the first derivative of m(d). Factor g(i).\nAnswer: -(i - 11)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 3, 2\/19343, 15?\nAnswer: 2\/19343","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t - 12160. Let z(b) = -b - 6066. Determine 3*v(j) - 7*z(j).\nAnswer: j + 5982","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20200221010 - -221?\nAnswer: 20200222001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 11:49 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -408172, -408196, -408246, -408334, -408472, -408672?\nAnswer: -408946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-38)\/(-6) - 13\/39. Solve -11*i + 5 = -q*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3 = h. Solve -h*r + a = -2*r + 2, 13 = r + 2*a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-42)\/7 - -1) + (-86)\/(-18). Which is the closest to -1? (a) 4 (b) -2 (c) n (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - c - 5*c + 0*c)*(-3 + 4 - 2).\nAnswer: 6*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -0.156?\nAnswer: -0.156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 9*q**2 + 152*q - 279. Calculate h(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 divided by 101635.\nAnswer: 83\/101635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1799907903 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**4 + 0*m**4 - m**3 + m**4)*(4 + 62 - 35).\nAnswer: 62*m**4 - 31*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1244.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 181040063?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 7*q**3 - 128*q**2 + 45*q - 7. Is w(29) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a factor of 660620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 4972?\nAnswer: 9944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24125 - -24239. What is the remainder when s is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -18. Let u = 6.7 - 7. What is the biggest value in u, -0.2, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1420.6731 * -0.02\nAnswer: -28.413462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2ac73e + -17?\nAnswer: -2ac756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/3 + 4)\/((-6)\/4). Suppose 3*x - 13 - 50 = 0. Suppose -x + 6 = -3*g. Which is the nearest to 2\/5? (a) g (b) -3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1938 by -2.\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 6.7. Let h = d + 0.7. Suppose 4 = 2*u, 0 = 5*a - 0*u - u - 18. What is the smallest value in h, a, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69419033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-4) + (31\/2 - 16). Solve 5*y = 5*w + 13 + 2, -l*y = 3*w - 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + (sqrt(38)\/sqrt(2) + 1 + -2 + sqrt(57)\/sqrt(3) - (sqrt(19) + 0 + sqrt(475) + 2))) + 1)*6.\nAnswer: -72*sqrt(19) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2 - v. Let w be b(-2). Let t be (-38)\/w + 4\/(-14). Does 4 divide (2\/t)\/((-2)\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4.46, 1, -1358\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xdd when three letters picked without replacement from xxxddxxxddx?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert a072b (base 12) to base 2.\nAnswer: 110010111000010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 86811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213925 is divided by 427?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -60? (a) -0.3 (b) 513614 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**6\/180 + 11*m**3\/6 + 9*m. Let w(v) be the second derivative of j(v). Let d(o) = -7*o**2. What is w(d(k))?\nAnswer: 98*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 605.267 litres to millilitres.\nAnswer: 605267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -414 + 2*c**2 + 5*c + 414 to the form w + g*c + d*c**2 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + x - 2*p + 24, 2*p - 80 = 5*x. Let t = 82 - x. Let h = t + -81. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*c + 27*c - 558. What is the remainder when c is divided by 36?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*-4748.\nAnswer: 52228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 4*p + 5076, 2230 + 1572 = 3*j - 4*p. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u + 3. Let f(k) be the third derivative of 5*k**4\/24 - 7*k**3\/6 - k**2. Let i(h) = 3*f(h) + 7*w(h). Let v(n) = -3*n. Determine i(v(p)).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from ffuffffuuf.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2000 - -10012011100?\nAnswer: 10012002100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 0.4, -0.4, 3, 0.28?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01099752 + -0.011. Round q to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-10))\/(-3*1\/3).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 851014*v = 850861*v - 9792 for v.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 9*t = -35. Calculate the lowest common multiple of t + (-2 - (0 + 0)) and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 16*j - 17. Let s be i(-11). Let x = 41 - s. Let p(v) = v - 7. Let u be p(7). Solve x*a + 13 = -u*a - 2*b, -a - 1 = -b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -5. Let y be 1*(4\/(-1))\/a. Suppose y*b + 4*x = -16, -4*b = -9*b + 2*x + 8. Solve b*n - 15 = 3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*n - 3*n**2 - 24255*n**4 - 14 + 48509*n**4 - 24252*n**4 as x*n + d + v*n**4 + m*n**2 + h*n**3 and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1507954438 to the power of 1\/2, to the nearest integer?\nAnswer: 38832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 133225*z**2\/4 + 365*z + 1.\nAnswer: (365*z + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4041, -16199, -36533, -65103, -101969, -147191, -200829?\nAnswer: -262943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -256303?\nAnswer: 256303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50552 and 47996?\nAnswer: 8543288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 1)\/(-4) - 50\/(-40)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(8\/7))\/i*i)\/i**(1\/61))\/(i**(-8\/13)*i**(1\/8)) assuming i is positive.\nAnswer: i**(14705\/44408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f + 2. Let n(a) be the second derivative of -a**3\/2 - a**2 - 3*a. Let l(r) = -3*n(r) - 4*s(r). What is l(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-16) - 2\/(-4). Let i be 24*(21\/(-6) - -3). Let r be 6*(-8)\/i + -3. Does a = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 16*i + 0 + 4*i)*(8*i**3 - 3 + 3) to z*i**2 + p*i**3 + v + q*i + k*i**4 and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-2)*(-157)\/(-1).\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 4. Let r(g) = g**2 + 2*g - 21. Let t be r(-6). Put q, 0, t in descending order.\nAnswer: q, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 10*n - 80 = -8*n, -2*u - 5*n = -151. Let a be (1 - -1) + (-13)\/(u\/12). Solve a = -3*z - 3*z + 30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q. Let i = 304 + -305. Let t(v) = v. Let c = 0 + -1. Determine c*t(w) + i*n(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 - -30 - (1 - 8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204699 is divided by 459?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -1 + 1. Let g(k) = k**3 + 9*k**2 - 2*k + 2. Let h be g(-5). Let f be (-46)\/h - 2\/(-7). Which is bigger: s or f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 44 + 11 = 0. Let y(z) = 153*z - 1 + z**2 - 311*z - 4 + 150*z. Is 14 a factor of y(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9452294 to the power of 1\/2, to the nearest integer?\nAnswer: 3074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*i + 161 = 115*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 7*g**2 + 9*g - 8. Determine b(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 145 - 99 = 0. Let f = 86 + q. What is the greatest common factor of f and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.08, 4, -0.1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.8 - -3.2. Let g be 0\/(-3) - (2 - 1). Sort q, -5, g in decreasing order.\nAnswer: q, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3187960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 96\/26407 + -869056194\/501733. Let f = -1732 - s. Let 16\/19 + 12\/19*y + f*y**2 = 0. What is y?\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 + 43*l**2 + 22)*(-2*l + 4 + 4 - 6) in the form m*l**3 + a*l + t + s*l**2 and give m.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**3 - 2*i**4 + 1 + 49*i - 47*i + i**2 + 3*i**3 in the form t*i**3 + u + v*i**4 + o*i**2 + l*i and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(((i\/((i*i**(-2\/3))\/i))\/i)\/i))**(-40) assuming i is positive.\nAnswer: i**(-160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(72)*1 + sqrt(72) + -4 + 5*(sqrt(72) + sqrt(72)*2) + -4 + 1*sqrt(72) + -4)**2.\nAnswer: -1512*sqrt(2) + 23377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 17009*o**3 + 14 + 17012*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 3*z + 6. Let t(b) = 3*b**3 + 2*b**2 - 4*b + 3. List the prime factors of t(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1190\/1057313 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-531)\/(-12) + -45)\/((2\/(-2))\/(-4)). Sort 0, a, 492, -2 in increasing order.\nAnswer: a, -2, 0, 492","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-12\/11)\/(o*(o**(-12)*o)\/o) assuming o is positive.\nAnswer: o**(109\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.3714 rounded to one dp?\nAnswer: 72.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 2064. Let d(k) = -12*k + 859. Give d(q(o)).\nAnswer: 12*o**2 - 23909","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3302, 3305, 3308, 3311?\nAnswer: 3314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -316889679, -316889681, -316889683, -316889685, -316889687, -316889689?\n\"Answer: -2*k - 316889677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.5 + -4.05. Let r = j - 0.35. Which is the nearest to r? (a) 0.5 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (1 + 0 + 0) - -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -172*0.1\nAnswer: -17.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 - 110*c**2 + 32*c**2)*(2 - 4 + 0)*(3 - 2 - 2).\nAnswer: -156*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2101\/44 + 1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vrvrrkrkvrvrvvrrvk. What is prob of picking 1 v and 3 k?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 1. Let s be h(1). Suppose 3*z = -4*c - 0*z + 25, s = -2*c + z + 5. Suppose 9*i = c*i + 110. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16287 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 7*h**2 - 67*h + 79. Let u be m(13). Calculate the greatest common divisor of u and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f**2 - 85*f + 1470. What are the prime factors of v(15)?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -9671303?\nAnswer: 9671298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*j + 538 - 38*j + 19*j + 21*j)*(j**2 + j - j).\nAnswer: 16*j**3 + 538*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 8*v - 16. Let t be k(4). Solve -b + t*b = -2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2079930 and 1788010?\nAnswer: 101916570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -9. Let z(f) = 11*f - 594. Let h(i) = -66*y(i) + z(i). Let q(u) = 144*u. Give q(h(x)).\nAnswer: 1584*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 607 - 1123*p + 188 + 1514*p + 2124*p - 84 with respect to p.\nAnswer: 2515","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14061, 28125, 42187, 56247, 70305?\n\"Answer: -y**2 + 14067*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 7, -1\/4, -8, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 143 = u, -3*s - 3*u + 61 = -s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*o + 5*v + 4, 3*o + 5*v = -14. Solve -3*r = b - 12, 5*b - 2*b = o*r - 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -225*d**5 - 237640*d**4 - 750745*d**3 + 2264410*d**2 + 484180*d - 210600 = 0. Calculate d.\nAnswer: -1053, -5, -2\/5, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = c. Suppose -3*a - d + 230 = c, a + 2*d + 0 - 75 = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - h + 94 = u, -3*u - 4*h + 362 = 0. Suppose d - 4*i - 35 = -6*i, 5*d - 2*i = 139. What is the remainder when u is divided by d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 871 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*c = q + 35, 0 = -5*c + 5. Suppose -5*j + q = -j. Solve 7*p = j*p + 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -7*s**3 - s**2 - s - 2. Calculate g(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 12:42 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 356*m**5 - 27*m**3 + 304*m**2 - 9*m wrt m?\nAnswer: 21360*m**2 - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 903548 to the nearest integer?\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -5*k - 3*g, 114*k = 111*k - 11*g - 32 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 54\/(-12) - 2\/(-4). Let b be 4 + (2 - (2 - o)). Suppose b = -5*k + 44 + 1. What is the lowest common multiple of 10 and k?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, u: 14}. Give prob of sequence uu.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 98439\/230 - 428. Let u = 469\/2070 + h. Factor -u*a**2 - 4\/9 - 2\/3*a.\nAnswer: -2*(a + 1)*(a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kiqkmuqqkmkkqqqmuk. What is prob of picking 1 u, 2 k, and 1 m?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*u - 50. Let a(z) = z**3 - 9*z**2 - 10*z + 11. Is a(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(245)\/sqrt(7) + sqrt(35))*-4)\/(sqrt(5) - (sqrt(405)*3 - sqrt(5)))*-6)**2*-3 + -3.\nAnswer: -50259\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62916 divided by -6?\nAnswer: -10486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + n + 4, -3*n = -k - 1 - 2. Let c(v) = 5*v + 211. Let y be c(-43). Put 2, k, y in descending order.\nAnswer: k, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/15 + 42\/15. Suppose 0 = 4*c - 8, -a*r - 4*c + 20 = -0*c. Suppose 3*f = 3*z - 90, 0 = z - r*z - 2*f + 95. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 23*u**6\/3 - u**4 + u**3\/3 + u**2 + 2765*u + 820. What is the second derivative of p(n) wrt n?\nAnswer: 920*n**3 - 24*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*k - 1, k + 28*w - 27*w = -1. Solve -15*x - 16 - 29 = k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 233*f**4 - f**3*z**2 - 91*f**2 - 3*f*z**2 wrt f?\nAnswer: 5592*f - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 32 divided by 21\nAnswer: 32\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -41. Let d be (-1 + -5)\/((-135)\/z). Suppose 8\/5*p**4 - 12\/5*p**3 - 2\/5*p + d*p**2 - 2\/5*p**5 + 0 = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19054 by -1890.\nAnswer: 1361\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide (-10)\/(-9) - 643916\/(-468)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 410\/19 in -53, 5, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 11:09 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2002632 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 882273.2mg in grams?\nAnswer: 882.2732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 96 = 112. Let o be (-39)\/h + (-10)\/(-4). Suppose 249 = o*k - 111. What is the greatest common divisor of k and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -19. Suppose 2*q + 2*q = -p - t, p - 14 = 3*q. Calculate the least common multiple of 11 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*c**2*f*m*r + 3*c**2*m + c**2*r - 503*c*f*r**3 - 33*c*r**3 + m*r**3 - m*r**2 with respect to f.\nAnswer: 26*c**2*m*r - 503*c*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 524651, 525319, 526433, 527993, 529999, 532451, 535349?\nAnswer: 538693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -o + 54. Suppose 0 = 27*b - 39*b + 504. What is the lowest common multiple of o and b?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 + 324*s**2 - 2784*s.\nAnswer: 3*s*(s - 8)*(s + 116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 954 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, n: 1, b: 1}. Give prob of sequence db.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 650 is divided by 211.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 195486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 312 and 1542296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27652 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*a = 588 + 73 + 74. Solve 47*p - a = 32 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*j - 794 = 555 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (13 - -13) + 12.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*t - 3 = 0, -2*s + 43 = -0*t + 3*t. What is the least common multiple of s and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + 17 + -5)*(17 - 46).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 13*w - 9. Let m be t(-10). Let n be 1*(0 - -7) - m\/7. Suppose n*z - 2*z = 4*z. Solve z = -g - 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 2*f**2 - 3*f + 1. Suppose 2*q - 3*q + 2 = 0. Suppose -q*m = 3*h + 1, 4*m - 19 = h - 0*h. Calculate y(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k + 3. Let q = 1 + 2. Let a be h(q). Let t = 22 + a. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of t**4\/24 + t**3\/3 - 30*t**2. Determine o(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -148, -245, -360, -499?\nAnswer: -668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 - 103*n**2 - 1180*n + 168. Give h(-34).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 7) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 6*b - 2*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 49 = -2*k + 3*u, -2*k - 3*u + 79 = 0. Let f be k\/15 + (-10)\/75. Suppose -f*v + 7*v - 349 = -3*m, 240 = 2*m - 4*v. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**11))**(-14)*(q**(-9\/4)*q)**46 assuming q is positive.\nAnswer: q**(-423\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x + 2. Let f be c(-4). Calculate the common denominator of 2 + 5\/(f\/(-63)) and 42.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5392035 and 2835.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1080 + 54*v + 3237 - 1078 - 1079 - 60*v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-13\/2))**(-9))**(1\/12) assuming s is positive.\nAnswer: s**(39\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 e when four letters picked without replacement from {e: 4, p: 7}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**5\/9 + 58*o**4\/9 - 58*o**3\/3 - 778*o**2\/9 + 3296*o\/9 - 800\/3 = 0 for o.\nAnswer: -4, 1, 3, 4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 239479518 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 35*u - 38*u**3 + 49*u**3 + 18*u + 8*u + 24*u**2 + 8*u to w*u**3 + n*u**2 + p + l*u and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(152)*1)\/((sqrt(72)*3)\/sqrt(9)).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3\/u**5*(u\/u**(11\/2))\/u**4)**(3\/8) assuming u is positive.\nAnswer: u**(-63\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -263 + 409. What are the prime factors of j?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5796)\/(-736) + (-9 - -1)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*j**5 - 35762*j**4 - 53543998*j**3 - 761724302*j**2 - 2369255052*j - 707098320 = 0. Calculate j.\nAnswer: -2973, -10, -4, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2857 + -5155?\nAnswer: -8123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 - 36*s**2 + 33*s.\nAnswer: 3*s*(s - 11)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -111*k - 7 + 24504*k**2 - 24498*k**2 + 6 + (-2*k + 1 - 1)*(-3*k - k + 2*k) to y*k + r*k**2 + m and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((-26)\/(-10) - 3). Let b(r) = -r**2 - r. Let a(o) = o**2 - 5*o - 4. Let n(d) = -a(d) - 2*b(d). What is n(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -792*d**2 - 976*d**2 + 4728*d**2 in the form m*d + z + y*d**2 and give y.\nAnswer: 2960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 565\/7 - 81. Suppose 14 = 5*x - 1. Put x, 0, h in descending order.\nAnswer: x, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 8 - 9 + 3*h**3 + h - 2*h**3 - h**2. Let u be k(2). Let z(m) = -m**3 + 3*m**2 + 7*m - 2. What is z(u)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6*v**4 + 2*v**3 + 2*v**2 - 3. Let j(a) = 31*a**4 + 11*a**3 + 11*a**2 - 15. Let s(o) = 33*h(o) - 6*j(o). What is the derivative of s(w) wrt w?\nAnswer: 48*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35375210*o*q - 14477*o + 4433 wrt q.\nAnswer: 35375210*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(3\/(-2))*((-33)\/6 + -8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 + -30. Suppose -y = -5*t - 18, -2*y + t + 10 = 4*t. Suppose n*w - 1 = y. Solve 4*m + 3*i - 9 = 7*m, -w*i + 9 = -5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/5 + (0 - -269). Suppose -2*v - 2*v + r = 0. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101*n + 3 - 103*n - n**3 + 16*n**3)*(2*n - 3*n + 0*n).\nAnswer: -15*n**4 + 2*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(3*g + 2*g + 3*g) + 24*g + 64*g - 45*g.\nAnswer: 27*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/((-2)\/(8\/(-4))*2). What is n in -7*n**3 + 5*n**3 - 12*n**2 - r*n**2 - 32*n = 0?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 296, 294, 290, 284, 276, 266, 254?\n\"Answer: -o**2 + o + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 2*d. Suppose s = -d*s. Let r = 34 + -33.5. Which is the closest to s? (a) -0.2 (b) -0.3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73 - -27. Let k = 185\/4 + d. Which is the closest to k? (a) -3 (b) 1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -2. Which is the second smallest value? (a) 4 (b) l (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2 + (-26 - (35 - 25) - -23) + -115.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 4, 5\/19, 17, 4\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 165?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 842 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -9. Calculate the remainder when -1 - (1*-25 + 1) is divided by (-2)\/t - 17\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67 + -67.1. Which is the nearest to -0.1? (a) -1 (b) z (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -49\/5, -1.2, 2?\nAnswer: -49\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13974*r = 2*q + 13978*r + 28, 2*q - 7 = 3*r for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 64 = -4*l. Calculate the remainder when 28 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525229056 a multiple of 4752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32076 and 1947888?\nAnswer: 21426768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**4\/4 + 2*g**3\/3 - g**2\/2 + 4. Let p be w(-2). Let c be 0\/(p + 1) + 1. Sort c, -0.4, 0.5 in decreasing order.\nAnswer: c, 0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -211*n + 209*n + 6238. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101010100011101 (base 2) to base 3.\nAnswer: 1002220000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4365359\/540 + 8084. Let d(t) be the third derivative of -k*t**5 + t**2 + 0*t**4 + 0*t + 1\/54*t**3 + 0. Let d(b) = 0. Calculate b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -398.\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 of a week in days?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 v when three letters picked without replacement from xxvxvvx.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (7 - (17 + -8 + 8) - -5)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express m**3 - 3*m**3 - 3*m**3 - 3 as k + i*m**2 + s*m + u*m**3 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-455)*15\/(-6).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*s - 5, 0 = 4*g + 2*s - 10. Let w(p) be the first derivative of p**4\/4 - p**3 + 3*p**2\/2 - p - 1. What is the units digit of w(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = j - 86, -4*j + 7*j = 5*y + 250. Let q(x) = x**3 + 7*x**2 + 2*x + 3. What is the remainder when j is divided by q(-6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l. Let j be 24\/(-24) + (-1 - -2). Let z(g) = -g**2 - g - 5. Let c be z(j). Calculate r(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -403856*n*y**6 - n*y - 4765*n + 2*y**2 - 25 wrt y?\nAnswer: -48462720*n*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 - -39. Solve -3*k + 2*k + 3 = i, r*k - 13 = -5*i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 3:01 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 447313.5 weeks to hours.\nAnswer: 75148668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w + 9 = 2*w + 3*n, -2*n - 5 + 2 - 2 = 9 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/6*(-5)\/(-10).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 + -77 + 46 - (-11 - -1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15, -25, -41, -63?\n\"Answer: -3*o**2 - o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 5*u - 2. Let v be h(-5). Let d be v + 4 - (4 - 2). Suppose 7*o - 5*o - 6 = d. Solve c + o*r + 2 = -13, -15 = 3*r for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apaapppapa. What is prob of picking 2 a?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 139047 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - 2 - (1 - 1). Let w be m\/((-10)\/(-4)) + 5. Suppose w*z + 170 + 97 = 0. What is z rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**4 - 131*d**3 + 11099*d**2 - 21261*d - 32490 = 0. Calculate d.\nAnswer: -190, -1, 3, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1058152.\nAnswer: 2, 29, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7.24208 hours?\nAnswer: 26071488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 185218*i**3*l + 82603*i**3 with respect to l.\nAnswer: 185218*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllmllllmllllmllllll. What is prob of picking 1 l and 1 m?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 8 = -13*h. Suppose -2*p + h*p - 28 = 0. Let f = -12 + p. Calculate the least common multiple of f and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -834*l - 61. Is v(-32) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h**19\/h*h)\/h*h))\/h*h**(-12)\/h)\/(h**3)**(-14) assuming h is positive.\nAnswer: h**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18879978 and 15.\nAnswer: 94399890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 3270.\nAnswer: 6540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 10*j + 18 = 0. Let f(h) = -5*h**j + 7*h**2 + 2 + 3*h - h - 3. Calculate f(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 0)*(-12)\/176*-11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-46)*b*b*b**(-2\/17)*b)\/(b*b**(-2\/5)*b*b*b**(-14)\/b) assuming b is positive.\nAnswer: b**(-2611\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*z**4 + 8*z - 147*z**2 - 2*z**5 + 3*z**5 + 127*z**2 + 18*z**3 = 0. Calculate z.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 9*z**2 - 11*z + 3. Let i be w(-10). Let g(x) = -136*x + 547. Let y be g(4). Solve -y*r = -i*r + 10 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428864 is divided by 2783?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 120?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 5*k**2 - 3*k - 2. Let d be n(-4). Let g = 1 - d. Suppose -j + 5 = -g. 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: What is the remainder when 315347 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -24 + 29*y**2 + 10 - y**2 + 10*y + 10*y. Is u(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19046 * -0.5\nAnswer: 9523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 128*v**2 + 176342*v - 234430.\nAnswer: 2*(v + 1379)*(64*v - 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2. Let r(y) = -2*y + 393. Let z(h) = h. Let i(p) = r(p) + 3*z(p). Calculate b(i(t)).\nAnswer: t**2 + 786*t + 154449","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 + 11470*s + 34428.\nAnswer: -2*(s - 5738)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i + 54. Let j be p(14). Suppose z = -2*c + j, 2*c + 14 = 2*z - z. Calculate the greatest common factor of 20 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -0.4, 1.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x = -16*x + 504. Suppose x*k - 2901 = 3903. Is 27 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 77915 - 1970 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (177\/295)\/((-12)\/10). Is w equal to -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324 = 51*m + 62*m - 5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - w + 203. Is b(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 + 29 + 37 + x**2 in the form r + m*x + i*x**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 + 279240*v + 198567424.\nAnswer: -4*(v - 70514)*(v + 704)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 1:08 PM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 110627096197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2 + 12*p + 12. Let x be 2\/4 - 315\/14. Let a = 34 + x. Let n(r) = r**2 - 5*r - 5. What is a*n(c) + 5*h(c)?\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.2469047 centuries?\nAnswer: 0.02469047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13036275334 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*z - 103 = -161. Solve 3*x - 3*c = -z*x + 11, 2*x + 4*c = -6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1)**(1\/54)\/((i*i**(-1)*i)\/i**(1\/9)) assuming i is positive.\nAnswer: i**(-47\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 6*o**2 - 8*o + 12. Let i be j(5). Let n = 166 + i. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b458 (base 16) in base 12?\nAnswer: -54788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000773275 rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24758 or -24756?\nAnswer: -24758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.3, 1, -0.4.\nAnswer: -5.3, -0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x + 26. Let p be m(0). Suppose i - 76 = -i. Suppose p = 4*l - i. Does 8 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3ea - -8?\nAnswer: 3f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, y: 2, s: 2, a: 2, c: 1, z: 1}. Give prob of sequence azc.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1062 - 0.1062. Which is the closest to 3? (a) i (b) 1\/5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, -3\/7, -4, -1\/2, -0.02, -0.06?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 3 - (-1 + 15 - (3 + 0)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7669.99536 - 7670. Is a at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -5.7484?\nAnswer: -0.57484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 - 48. Let f be w(5). Let i be 9\/(-2)*20\/(-30). Solve i*b = z + 13, 2*b + f*z - 5 = 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -4*q - 6. Let k = q + 3. Suppose -18 = -r - 4*f, 4*r + k*f = -0*r + 61. Calculate the lowest common multiple of 18 and r.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*a + 8, 0*q + 11 = 3*a + 2*q. Let x be 2*a*(-18)\/(-12). Suppose -2*s + x*s - 4*r - 57 = 0, 214 = 4*s - 2*r. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1571 is divided by 377?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/2 of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8007 + 195*g**3 - 51*g**3 - 155*g**3 + 8007.\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 2*x**2 + 19*x - 62. Let m be s(-5). Let i(o) = o**2 - 7*o - 1. Let p(l) = l + 1. Calculate m*p(n) - i(n).\nAnswer: -n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15033 + -3753. Suppose 0 = -32*j + 56*j - z. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 6 + 0)*(-18*m + 10*m + 13 + 9*m) in the form c*m + t and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 18*y + 39. Let g(r) = -2. Let u(m) = 105*g(m) + 5*s(m). Calculate the remainder when u(1) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**2 - y + y + (2*y + 3 - 1 - 4 + (y + y - 4*y)*(-2 - 1 + 2))*(75*y - 824 + 824) to the form c*y + q + n*y**2 and give n.\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, n: 5, d: 4, f: 5, y: 3}. Give prob of sequence dy.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (1 + -257 - -2). Suppose 3*l + 52 = b. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -28*c**3 + 3*c**5 + 25*c**3 - 6*c**2 + c**4 + 5*c**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 3*u + 10, -3*u + 52*b - 278*b + 232 = -0*u - 107*b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, d: 1}. What is prob of picking 2 m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 37. What is the units digit of u(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1158\/7 + 165. What is the third biggest value in -1\/3, o, -3\/8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -232 (base 4) to base 12.\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) -1.8 (c) 1\/5 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 243\/11, -132, -2 in ascending order.\nAnswer: -132, -2, 243\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus -0.02288?\nAnswer: 4.02288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-8)*3)\/(744\/124).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 107 - 109. Suppose -1 = -2*g + 3*g. Which is the closest to -4? (a) g (b) 0.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*b**5 - 16*b**4 + b**3 - 3422*b**2 wrt b.\nAnswer: 1200*b**2 - 384*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 2*x + 2. Let i be g(3). Let z(l) be the second derivative of l**3 + l**2\/2 + l. Let t be z(i). Which is greater: t or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -723 - -10 - (7 - 6\/2). Let i = b - -1250. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/33 + 122\/22. Solve d + 6 = r, -2*r + 4 = d - b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -902826*j**2 + 300941*j**2 + 300936*j**2 + 300937*j**2.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = -j + 5*j. Let v = -21 - -31. Let p(g) = -g**3 + 10*g**2 + 8*g - 14. Let i be p(v). What is the highest common factor of i and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 1\/4 + 495\/20?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1224201 (base 5) to base 6\nAnswer: -301340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-185)\/3 - (1 - (-2)\/(-3)). Find the common denominator of 23\/24 and -3 + 2 - (2 + j\/33).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 20 = 10*k. Suppose k*g + 0*g = 100. Calculate the highest common divisor of g and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 5 + 5)*(5*n**2 + 1 - 1 + 2) + n**3 - 2 + 2.\nAnswer: -4*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10 + -2)\/((-3)\/(-6)). Let s be (-2 - n\/(-6))*3. What is the remainder when s\/8*-2*-50 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 10:22 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*i + 43*i = 15. Solve z = 2*s + 5, -s + 2*z + i = 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188537784 divided by 62845928.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -341220?\nAnswer: 34122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8428087 rounded to the nearest one thousand?\nAnswer: -8428000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqyyqvyqyyqyyyyqqy. What is prob of picking 1 v and 2 q?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 173*u**5 + 2*u**4 - 157*u**2 wrt u.\nAnswer: 10380*u**2 + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310026 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 41181 divided by -53\nAnswer: -777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in -5, 17, -4\/5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/46*(-32)\/120*5?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8\/(13\/((-65)\/(-2))) and 0 + (-166)\/(-4) - 1\/(-2)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.2 - 13.2. What is the second biggest value in -1\/2, -1\/3, 0.2, x?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 582892 and 8?\nAnswer: 1165784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3334 + 43344\/13. Which is the nearest to -0.4? (a) -0.4 (b) -3\/4 (c) l (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20715409 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 1373012398?\nAnswer: 9611086786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 24. Suppose 2*z - 3*h - 12 = 0, -h - 6 = 2*h. Calculate the remainder when i is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 16 = 4*l. Let s be -1*4*l\/(-8). Let t be s\/(-5) + (-102)\/(-30). Which is the third biggest value? (a) -3 (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 604 - 603.599. Round o to two dps.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/15 - (7 - -3)*(-18)\/(-150). What is the nearest to -1 in m, 6, 0.1, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0641 plus -0.18?\nAnswer: -0.2441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 1763*p + 35594. Determine c(20).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 3 + 6 + 3 + x in the form s*x + b and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19980769 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*r + 23841 + 359955 + 36619 = 0. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -649 + 947. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 3:08 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 + 25 = -4*o - 5*j, -4*j = -o - 73. Let b be (-871)\/o - (-2)\/(-5). Calculate the highest common factor of 65 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20, 43, 60, 71, 76?\n\"Answer: -3*z**2 + 32*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - 0 - 4\/(-2). Suppose p*v - 7*v = 0. Suppose -17000 = -b - v*b. What is b rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**3\/q))\/(q*q\/(q**(-4)*q)*q*q))**(-40))**(-23\/5) assuming q is positive.\nAnswer: q**(-1472)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49.18 * 0.278.\nAnswer: 13.67204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*v = 29211, w + 3839 = -2*v - 1992. Let p = w - -17239. What is p rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**3\/8 + 765*d**2\/8 + 9687*d\/4 - 8136 = 0.\nAnswer: -226, -32, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1282?\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 1) + 4 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.99*-0.11.\nAnswer: 0.2189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 4, -30 in ascending order.\nAnswer: -40, -30, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 825288255?\nAnswer: 3, 5, 11, 1667249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6*375\/(-250)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -12*g - 23. Calculate f(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, -2, -140, 3 in decreasing order.\nAnswer: 3, -2, -5, -6, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110101 - 101010011001?\nAnswer: -101100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0022 (b) 2 (c) 3 (d) -68\/15 (e) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-30) - 0\/(-2)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-888)\/16*3\/9*-164 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 + 32*n + 78.\nAnswer: 2*(n + 3)*(n + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 86364, 171708, 256032, 339336, 421620?\n\"Answer: -510*u**2 + 86874*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 2015831954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4, -6, -14, -14, 0, 34?\n\"Answer: l**3 - 5*l**2 - 2*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1320 = 5*q - 0*q. Is 57 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-11) - (2 + (-17874)\/9867). Let n = -9 + 9. Is g equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 608*o - 366 = 166 + 76. Suppose 0 = -3*m + 3*v + 15, -2*v = 4*m - v - 5. Solve -5*b = t + o, m*b + 7 = 3*t + 7*b for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**4 + 208*v**3 + 4434*v**2 + 29016*v + 61992 = 0. What is v?\nAnswer: -7, -6, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4 - 12*k + 18*k + 0. Let r(j) = 5*j + 3. Let z be 4\/6*(-1 - -4). Let l be ((-6)\/4 + 0)*z. What is l*a(s) + 4*r(s)?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13031 + 13040. What is the highest common divisor of 62163 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35 - -437?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -1. Let r(f) = 2*f - 7. Let j be r(c). Suppose 36 = 5*w - j. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42153301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 882.8557cm in millimeters?\nAnswer: 8828.557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u - 52. Let p(c) = 2*c - 26. Let k(g) = 6*n(g) - 13*p(g). Let r be k(10). Suppose 0 = -r*b + 182 + 136. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/6)\/(3\/9). Let s(d) be the first derivative of 2 - 1\/7*d**w - 2\/7*d**3 + 0*d. Factor s(a).\nAnswer: -2*a*(3*a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c - 1. Calculate j(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 20*q**2 + 19*q - 14. Let m be l(19). Let y(o) = -o - 9. Calculate y(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (-573)\/27 - 4\/18. Suppose -19 - r = -2*w. Calculate the remainder when 73 is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-306)\/119 + 2)\/((-2)\/(-28))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 3*z - 2*z)*(-2*z + 6*z - 2*z)*(z**3 + 3*z**3 + 2*z**3) + 0 + 0 - z**5.\nAnswer: -25*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047564930 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5\/4 of a microsecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, v: 4, y: 3}. Give prob of picking 4 v.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2344)\/10)\/((-3)\/((-15)\/(-2))). Round d to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 1\/3, -4, -106698?\nAnswer: -106698","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and ((-112)\/(-42))\/(3\/(-3 + 21))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**9\/2520 - z**5\/24 + z**4\/2 + 3*z. Let g(f) be the third derivative of y(f). What is the derivative of g(a) wrt a?\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 280 + -838\/3. Let c = -24 + 35. Which is smaller: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**2 + 41*v - 9. Suppose 61*i = -42*i + 2060. What is f(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*h = 7 + 11, 3*h = 2*q - 45. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 5*u**2 - 3*u - 2. Let l be 3*2\/3*-1. Let r(p) = 0 - 2 - 11*p**2 - 5*p - 3*p**3 - 1 - p. Let q(s) = l*r(s) + 5*k(s). Calculate q(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/4*(-16 - 2). Let x be 38\/o - 4\/18. Let b(p) = 2*p - 1. Is 7 a factor of b(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12434069 is divided by 60951?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1053) - (sqrt(1053) + 0 + -5))*6.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4644883131?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -112684789 to the nearest 1000000.\nAnswer: -113000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i - 1. Give t(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234933 is divided by 117?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 8 = x + w, -3*x + 5*w = -12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 605, 779, 1075, 1493?\nAnswer: 2033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -611014 + -223?\nAnswer: -611240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*v - 2*n + 30, 0 = 5*v - n - 53. Calculate the greatest common divisor of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(30\/(-5)))\/((-2)\/(-3)*(-24)\/384)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 6:22 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.074 and 1.71214014503.\nAnswer: 1.63814014503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*b + 94*b - 28266 = 0. Let w = 6091 + b. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 596, 2798, 6594, 11990, 18992, 27606?\n\"Answer: i**3 + 791*i**2 - 178*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1023 is divided by 79.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 2*z - 4)*(-3 - 2 + 3) + 2*z + 0 + 0)*(-4*z - 39983 + 39983).\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 1230*k - 19684. What is l(16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**3\/5 + 1972*b**2\/5 + 1974*b\/5 = 0.\nAnswer: -1, 0, 987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8164133, 16328254, 24492393, 32656556, 40820749?\n\"Answer: x**3 + 3*x**2 + 8164105*x + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -3, 5 in ascending order.\nAnswer: -3, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 62102?\nAnswer: 18630.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 70 = -c. Suppose 0 = 8*u - 9*u + 3. Suppose -5*k = -u*d - 211, 2*k - c = 3*d + 65. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 756473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -40? (a) 7 (b) 2\/3 (c) -8 (d) 4\/3 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -2\/739, -3\/2, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1209903, 2419426, 3628949, 4838472, 6047995, 7257518?\nAnswer: 8467041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(4\/(80\/(-4))). Suppose -j - 40 = -4*j - 5*z, z - 30 = -m*j. Suppose 1013 = j*c + 4*r, c + r - 806 = -3*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**2 + 3*t. Let u(v) = -4*v**2 + 6*v. Let i(g) = 5*g**2 - 7*g. Let q(s) = -6*i(s) - 7*u(s). Calculate p(q(y)).\nAnswer: -16*y**4 - 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (443*f - 49 + 277 - 444*f)*(3 + f - 3)*(6 - 3 - 2) to the form v + d*f + a*f**2 and give d.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 662599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 5 + (-2 - 5 + 5)*(-4 + 4 - 2) + 3 - 3 + 2 + 5 - 4 - 3 - 3 - 1 + 5 + 6 - 3 - 1)*(6 - 780*t + 396*t - 52*t**3 + 386*t).\nAnswer: -468*t**3 + 18*t + 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0654 rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -4*m**4 + 2424*m**3 - 49296*m**2 + 91336*m - 44460 = 0.\nAnswer: 1, 19, 585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 6576?\nAnswer: -6574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -17. Suppose -2*y = -3*y + l. What is the highest common divisor of y and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 9*y - 7. Calculate i(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 131544*h**3*x**5 - h**3*x - 3260*h*x + 137*h - 188*x**5 wrt x?\nAnswer: 2630880*h**3*x**3 - 3760*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 35, 43, 41, 23, -17, -85?\n\"Answer: -v**3 + v**2 + 12*v + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9) + (sqrt(72)*-1)\/sqrt(8) + sqrt(9))\/sqrt(3)*6)**2 - (2*sqrt(192) + sqrt(12))\/(sqrt(16)\/sqrt(4)*-2).\nAnswer: 9*sqrt(3)\/2 + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 8 + 62)*(-4*m**3 + 4*m**3 - m**4).\nAnswer: -53*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 525, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.91 + -17. Let w = i - 15.91. Let b = w - -16.9. What is the nearest to 0.1 in 2, 2\/5, b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 10*v**2 - 11*v - 13. Let l be y(-9). Suppose -3*r = -31 + 4. What is the second derivative of -p**5 + r*p**l - 81*p + 72*p wrt p?\nAnswer: 160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4781407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6474, -12951, -19414, -25857, -32274, -38659?\n\"Answer: m**3 + m**2 - 6487*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -k**4\/6 - 101*k**3\/9 - 22*k**2 - 2*k + 7. Determine o so that t(o) = 0.\nAnswer: -33, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -177*f + 281*f - 208. Let q(n) be the second derivative of 0*n**f + 0 + n + 11\/6*n**4 - 5\/3*n**3. Find the second derivative of q(y) wrt y.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 5*q - 5. Let v be f(2). What is the units digit of 1000\/3 + 4*v\/(-108)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -114*f*y**3 + 410520*f + 2640*y**3 wrt y.\nAnswer: -342*f*y**2 + 7920*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -99027, -198051, -297075?\n\"Answer: -99024*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*o + 172*o**2 - 55*o**2 - 116*o**2 to s + g*o + m*o**2 and give g.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**(-1\/9)*a*a*a**4)**(-3\/53) assuming a is positive.\nAnswer: a**(-73\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1436 - -2012. Does 36 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80 - 6*c + 175 - 425 + 175.\nAnswer: -6*c + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*m = 55 + 395 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300)*3)**2*-1*-4 + (-3 + (sqrt(832))**2 - sqrt(13)) + (sqrt(13) - sqrt(208)) + sqrt(13) + 5.\nAnswer: -3*sqrt(13) + 47634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, a: 2, q: 4, b: 2}. Give prob of picking 1 q and 2 a.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -6181381595.31.\nAnswer: -6181381591.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14308*l**3 - 14292*l**3 + 42952*l**3 - 5*l - 14354*l**3 + 5*l.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2123, -2, 91 in descending order.\nAnswer: 2123, 91, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -13. Suppose 0 = l - 11 - f. What is the remainder when l is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + r - 1 + 0)*(-2 + 6 - 2)*(-403 - 118 - 115)*(-4*r + r**3 + 4*r).\nAnswer: -1272*r**4 - 1272*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 1)*(-2*l**2 - 2*l**4 + 2*l**2)*((3*l + 3*l - 5*l)*(1 - 1 - 2)*(44 - 6 + 100) + 3 + 2 + 2*l - 7).\nAnswer: 1644*l**5 + 12*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gppf when four letters picked without replacement from {p: 4, f: 1, q: 1, u: 2, g: 2, s: 5}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from rwrrrrwrrrwrwz.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 50 (base 7) to base 9\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91 - -87. Let d = 1.6 + -2. What is the closest to 2\/7 in o, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15177159 and 395496.\nAnswer: 121417272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 2 = -6*v. Let h(t) = t**3 - 4*t**2 - 5*t + 4. Let n be h(5). Suppose 3*s + 14 = n*k, -3 = 5*k + 3*s - 7. Solve 0 = -3*l + v*l - k for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -292, -581, -856, -1111, -1340, -1537, -1696, -1811?\n\"Answer: o**3 + o**2 - 299*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 - 1. Let r be j(-2). Let c = -5 + r. Solve 2*i + c*i = -4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 925*z**3\/3 + 279367*z**2\/3 + 834859*z\/3 + 5083 = 0.\nAnswer: -299, -3, -17\/925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of 7*w**3\/6 + 3*w**2 - 5*w. Let y(n) = -21*n - 17. Let c = -61 - -55. Determine c*y(z) - 17*a(z).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 66120.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**3\/4 + 8077*u**2\/2 - 24218*u - 64592 = 0. What is u?\nAnswer: -2, 8, 16148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 + 11*f. Let j(z) = -3*z**2 + 12*z. Let a(o) = 4*j(o) - 5*u(o). Let m(h) = -h**2 - 5*h. Calculate -5*a(x) + 7*m(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -2) + 240\/50*(564\/36 + -16).\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.81 in -1.8, -0.4, -1125, -3\/8, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 36*h + 114. Let b be a(44). Let x be b\/(-14)*4\/((-4)\/(-3)). What is the greatest common factor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117c4 (base 13) to base 12.\nAnswer: 166b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -8908*v**2 - 3*v + 5. Let k(n) = -n. Calculate k(c(d)).\nAnswer: 8908*d**2 + 3*d - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17.443 and 95668940?\nAnswer: 95668957.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 21, 79, 235, 537, 1033, 1771?\n\"Answer: 8*a**3 + a**2 - a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 3) + -2 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 - 654*g**2.\nAnswer: 2*g**2*(g - 327)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - h - 88, 632*h - 628*h + 12 = -d. Solve 14*o = 4*m + 13*o - 12, 0 = -5*o - d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-150)\/(-24) + -1)*16\/12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4510*b - 12. Let k(d) = -121761*d - 326. Let o(m) = -6*k(m) + 163*t(m). Let g(u) = u**2. Calculate g(o(j)).\nAnswer: 20830096*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -10. Suppose d = -7*q + 31 + 18. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 697 + -694. Let c = -0.324 - 0.066. Let z = -0.01 + c. What is the smallest value in -1, z, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - x + 5*x = 0. Suppose x = -s + 3*s - 250. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -742731157\/110 - -33814686\/5. Let i = d + -10831. What is the common denominator of i and -47\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -1453*k - 56. Let d(p) = -727*p - 24. Determine -7*d(l) + 3*j(l).\nAnswer: 730*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/9 - (-15*(-22)\/(-66) - -1)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43848 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 27010768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**2 + 2*q**2 + 12*q - 12*q - q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*c - 166 = -6130 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 65015 = -2*x + 64994 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 53 = -18. Calculate the common denominator of (1372\/(-40))\/q*(-2)\/4 and (-186)\/10*(-15)\/(-24).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y**3 + 4*y**2 - 5*y + 11. Let m be a(4). Let k = 140 + m. Suppose 6*x = k*x + 504. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -540 - 327?\nAnswer: -1067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 154 - 174. Which is greater: s or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d + 7 - 2*d + 4*d)*(-5 + 5 - 3) - 3*d - d - d + (5 - d - 5)*(2 - 2 + 1).\nAnswer: 3*d - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -82, -215, -438, -751, -1154, -1647, -2230?\n\"Answer: -45*o**2 + 2*o - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)\/s**6*(s**(-1\/4)*s)\/(s*s**(-2)))\/((s*s**5)\/s**8)**(-48) assuming s is positive.\nAnswer: s**(-417\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4199 - 4194. Let p = -0.8 - -1. Which is the third biggest value? (a) p (b) h (c) -1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.4, 20, 5, -10\/3, 1.3 in descending order.\nAnswer: 20, 5, 1.3, 0.4, -10\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**2 - 3*j + 3*j + (2 + 2 - 3)*(533 + 6*j**2 - 533).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, z: 2, k: 1, e: 2, f: 2, c: 1}. Give prob of sequence zfck.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(76) + sqrt(76)*2 + 3 + 0 + 5*(-3 + -2*sqrt(76))))**2*-1.\nAnswer: -34812 - 3024*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 3:20 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 218885 to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*k = -40, 2*k + 32 = -9*i + 7*i. Calculate the remainder when -6 - 87*12\/i is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*p**2 - 38*p**2 + 343*p**3 - 346*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4204 - 50*y + 2*y**3 + 9*y - 4190.\nAnswer: 2*y**3 - 41*y + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**3\/((l\/(l**7\/l))\/l))\/(l\/(l\/l**(-2)))**(-26) assuming l is positive.\nAnswer: l**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 42441711 divided by -159\nAnswer: -266929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/(-15)*(-167)\/(-501).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 143712969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20.09 - -20. What is the fourth smallest value in -1, 1\/8, -2, l?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000110100110111 (base 2) in base 12?\nAnswer: 18b07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605) + sqrt(605) + 0 + sqrt(270)\/sqrt(6).\nAnswer: 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.35 - -0.85. What is the second biggest value in f, -9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -558*j + 634*j = 76. Is j bigger than -2\/9915?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*k**21*k*k*k)*k))\/(k\/(k**(-31)\/k)) assuming k is positive.\nAnswer: k**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - -2 - -1)\/(-2 + 4). Suppose q = -2*y - 6 - 20. Let d(j) = j**2 + 13*j + 3. Let x be d(y). Let m(w) = -w**3 + 2*w**2 + 4*w - 2. What is m(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1749 - 1741. Solve -8*u - x*u - 3*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/15)\/(58\/580). Which is the biggest value? (a) i (b) -1\/5 (c) 0.2 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2))**30\/(((x*x*x**(-1\/3)*x*x)\/x)\/((x**5\/x)\/x)))**(-4) assuming x is positive.\nAnswer: x**(716\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xtx when three letters picked without replacement from kxkxkxkktxx?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80 + 201 - 65 - 77 - d to the form r*d + h and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*l = 24, 64*n - 66*n - l + 33 = 0. Let w = 14 + -11. Let m = -12 - -17. Solve -n = -w*p, -24 - m = -b - 5*p for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 548 (b) 1\/7 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*b + 21*b - 240 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r**3 + r**2 + r - 1. Let d be a(1). Are 4 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 11 = 2*g + 3*d, -g = 2*d - 7. Which is the closest to 0.1? (a) 4 (b) g (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f - 2*f - 2*f)*(6*f**3 - 4*f**3 - 5*f**3) to r*f**4 + l*f + p + q*f**2 + g*f**3 and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 924.1503mg in micrograms?\nAnswer: 924150.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - 5 - (-2 - -3). Let k(l) = 6*l**2 + 2*l + 4. Does 6 divide k(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -738 divided by 3\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -58*o**3 + 418*o**2 + 4*o + 709552.\nAnswer: -174*o**2 + 836*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -22. Let c = -13.000112 - t. What is c rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -30, -224, -5, -2\/37?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 139, 203, 267, 331?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -63 - -131. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 6 + 3 = 0. Let a = x + 12. Find the second derivative of -5*p**2 + a + 0*p - 3 + 2*p wrt p.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 10:30 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2 - 17*v + 11. Let q be y(-9). Let b(m) be the second derivative of 2*m**q + 0 + 1\/6*m**3 - m. Calculate b(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 9*g**2 + 6*g + 5. List the prime factors of u(7).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f - 8. Let w be r(0). Let x be 2\/w - 34\/(-8). Solve -2*v = x*k - 4, -5*k = v + v - 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 3*f**2 + 4*f + 5. Let o be c(-4). Suppose 0*t = -o*t + 10. Find the third derivative of -7*d**3 + t*d**3 + 6*d**3 - 9*d**2 wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3541 = 3*s - 5*a, a - 2405 = -2*s - 27. List the prime factors of s.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14637197 is divided by 230?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -7 + -5 + -14 - -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 26741084 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 - 24*s + 31. Suppose 18 + 14 = 4*j + 4*k, -3*j + 3*k + 36 = 0. What is the lowest common multiple of j and g(-13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1408 - 1390. Let c(s) = s**3 - 3*s**2 - 4*s - 6. Let w be c(7). Calculate the highest common divisor of y and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (302 + 2*a**2 - 302 - 3*a)*(-4 + 4 - 8*a**2) to the form y*a**2 + b*a + o*a**3 + d*a**4 + x and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16395884.59000172 + 16395779.59. Let l = -105 - d. What is l rounded to 7 decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**2\/2 + a - 2. What are the prime factors of t(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 12*x + 18*x + 14*x - 55*x + 12*x. Let q(n) = 4 + 3*n + 5 - 10. Calculate b(q(c)).\nAnswer: 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 17*u**3\/3 - u**2 + u + 1. List the prime factors of b(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 5*v - 145 = 0, -29 = 55298*u - 55297*u - 4*v for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32.23 + 30.6. Let v = -1.6300609 - b. Round v to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 34 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 6:22 AM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 255792904?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44 + -4?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 8:03 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1 - 1) + 2)\/2. Suppose w + 3 = 3*y. Let k be (y*3)\/(396\/(-24)). Which is the smallest value? (a) k (b) 5\/2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -240 - -234. Sort 0, j, -4.\nAnswer: j, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-10))\/((-11)\/((-1760)\/(-624))).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78413616 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0211853 rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/1 + (-648)\/(-156). Sort -6, -2, j, 2\/3 in increasing order.\nAnswer: -6, -2, j, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 29. Solve -o*v + v = -8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -b**4\/12 - 10*b**3\/3 + 91*b**2\/2 + 27*b. Calculate the remainder when 233 is divided by p(-22).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w**2 + 6*w - 1. Let j(z) = -2*z**2 - 5*z + 1. Let m(x) = -5*d(x) - 6*j(x). Let r be m(3). Which is bigger: r or -29?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 3*k + 10. What is the third derivative of -7*w**k - 4*w**3 - 8*w**3 + 2*w**2 wrt w?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1922676 and 864912.\nAnswer: 5844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, e: 4, o: 6}. Give prob of sequence eoe.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, b: 2}. What is prob of picking 2 s?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 - ((-60)\/(-35))\/(-6)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1584) + 1)**2.\nAnswer: 24*sqrt(11) + 1582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 18 = -5*y, 4*z - 2*z = -4*y. Let p(b) = 3*b**3 - 2*b**3 - y*b**2 - 4 - 19*b + 16*b. Let r(o) = -13*o - 49. Let k be r(-4). Determine p(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -6*u - 2. Suppose -3*j = -7*j - u*t + 6, 6 = j - t. Solve -j*l - 5 = g, -2*g = -0 - 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4665891 by 5.\nAnswer: -4665891\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11066458 a multiple of 284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8045770 - 0?\nAnswer: 8045770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3136, -3171, -3238, -3349, -3516, -3751, -4066, -4473?\n\"Answer: -2*t**3 - 4*t**2 - 9*t - 3121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3 - 34 = 5*v, 5*v = -15. Find the second derivative of -4*y + 35*y**3 + 11*y - k*y**3 + 13*y wrt y.\nAnswer: 186*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -116 + 123. Suppose -l = -1, f*x + 3*l + 3279 = 9*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -109 + 362 + 181 + 152*v**3 - 15 + 409 wrt v.\nAnswer: 456*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**3 + 16*z**2 + 23*z + 9. Let c be j(-9). Put -7, c, -2 in decreasing order.\nAnswer: -2, -7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 11) in base 15?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 54 - 54 + 22*t**2. Let j(q) be the first derivative of q**2 + 6. What is j(f(p))?\nAnswer: 44*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 75654845 to the power of 1\/3, to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 7*a - 4. What is k(5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.53, -3, -5, 0.01, 3\/7 in increasing order.\nAnswer: -5, -3, -0.53, 0.01, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 6*d**2 - 3*d - 20. Give w(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -459.32 + 121924.\nAnswer: 121464.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63 + 87. What is the remainder when 1821 is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11771175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -538, -3089, -9998, -23443, -45602, -78653, -124774?\nAnswer: -186143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 2*m + 2*m)*(-2 - 5*m - 16*m + 35*m).\nAnswer: -28*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -r - 3*b + 48, 3*r - 71 = b. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002993315 rounded to 5 dps?\nAnswer: -0.00299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*q = -2, k - 4*q - 1 + 2 = 0. Let y = 3 + 6. Let d = y - k. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 324 divide 31154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -22*n + 7. Is c(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -180 + 188. Calculate the smallest common multiple of 272 and j.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -89*d + 1569 + 942 - 731 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 + -28. Suppose -11 + 41 = h*v. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 66*n**2 + 137*n + 71. Let j be s(-68). Solve -3*v + j*u = 26 - 11, 5*v - 3*u = -25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14826444.\nAnswer: 2, 3, 23, 53719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1. Let u(v) = -4*v**2 + 90*v - 43. Let b be u(22). Let r(p) = p**2 - 10. What is b*r(d) + z(d)?\nAnswer: d**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = r - 5*d, 3*r + 7 = -5*d - 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -189 (base 16) to base 4.\nAnswer: -12021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -20*j. Let n(v) = 3*v**2 - 7*v**2 + 0*v**2 + 5*v**2. Determine n(b(l)).\nAnswer: 400*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -25*k. Let p(b) = -669526*b + 2. What is u(p(g))?\nAnswer: 16738150*g - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14a (base 13) in base 5?\nAnswer: -1411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzaqoozqooqqqoqzfa. Give prob of picking 3 a and 1 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 7*l + 4*l + 0*l - 5*l + 4*l + (3 - 1 - 1)*(-2 + 2 + 2*l))*(-l**2 + 4*l**2 - 4*l**2).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 57?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*u + 2*c + 6670 = -32*u, -5*u + 16689 = 2*c. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/16 (b) 0.64 (c) 1 (d) 71 (e) 0 (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5448, -10900, -16352?\n\"Answer: -5452*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*x = 96. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from {l: 1, q: 2, g: 4, v: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**17\/s*s**(-21)*(s*s\/(s*s\/(s**13\/s*s*s)))\/((s\/((s**23*s*s)\/s*s))\/s) assuming s is positive.\nAnswer: s**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1836859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 12*b - 4. Let p(u) be the second derivative of 11*u**3\/6 - 5*u**2\/2 - 401*u + 4. Calculate 4*p(d) - 5*z(d).\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*k + 177 = -0*n, -168 = -5*n + k. Let p be -9*(3080\/(-30))\/14. What is the highest common factor of p and n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -5*f**9\/756 - f**6\/45 - 14*f**3\/3 + 8. Let k(x) be the third derivative of l(x). What is the third derivative of k(o) wrt o?\nAnswer: -1200*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**3 - 11*g**2 - 5*g - 1. Let n be t(-5). Which is the nearest to 0? (a) -29 (b) 5\/4 (c) n (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(171) + -2 + 3 + 2 + sqrt(19) + sqrt(19)*1.\nAnswer: 3 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81629 and 3.\nAnswer: 244887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/33*1430\/(-780).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 13*v + 4. Give s(8).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - 5*h - 423 = 0, -4122*h = -2*f - 4124*h + 122 for f.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2*1\/(-20)). Suppose 4*a = 2*u - f, 4*a + 15 = a. What are the prime factors of (6\/u)\/((-27)\/360)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-4)\/(c*c**1\/c))\/(c**(1\/2))**(-2\/91))\/(c\/c**(-5)*c**0*c**(3\/2)\/(c\/c**(-1\/3))) assuming c is positive.\nAnswer: c**(-6091\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1*sqrt(40)\/sqrt(2))\/(-1*2*sqrt(4)))*-6 + -5.\nAnswer: 3*sqrt(5) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -88 divided by 44\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 2*f - 26, -125487*i + 4*f = -125483*i + 92 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -10. Let d be (3\/k)\/(3\/(-18)). Let u be (0 + 18)*(-3)\/d. Solve 2*l - u = -4*p, l + 4*l = -p + 18 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/8)*m\/m**(-2))**(-4\/3) assuming m is positive.\nAnswer: m**(-23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -62 + 0?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11083987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 2)\/((-2)\/(-758)). Is (v\/3)\/(4\/12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-168)\/8)\/(-7) - -102 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/((y**(-3\/7)*y)\/y))*y**10*(y*y\/y**10)\/(y*y\/((y**(1\/4)\/y)\/y)) assuming y is positive.\nAnswer: y**(-61\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25152304 to the power of 1\/2, to the nearest integer?\nAnswer: 5015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 18 = -2*h, 6 = -h + 2*a + 11. Let x be (-6)\/(-72) - h\/12. Factor 0 + 1\/3*o**4 - x*o**3 + 1\/3*o - 1\/3*o**2.\nAnswer: o*(o - 1)**2*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144 and 225378.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -6*x. Let n(i) be the first derivative of -8*i**3 - 4*i + 402. What is n(k(b))?\nAnswer: -864*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -9*g + 6. Let t(j) = -7*j + 2*j**2 + 0*j**2 + 7 + 20*j - j**2. Let m be t(-12). Is o(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 91197155405\nAnswer: -91197155395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (3 + -6 + 2 + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-27))\/((63\/(-54))\/7). What is the closest to -2 in 1, 0, 0.07, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + y + 16 = 0. Let c be y*(-6)\/24*-26. What is the greatest common factor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/22*(-3)\/((-33)\/(-4))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.63 - 0.37. Let w = -0.06 + 2.06. What is the third biggest value in w, 0.5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 + 5 + 67 - 293*v**3 - 546*v**3.\nAnswer: -839*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -616*p + 4031. List the prime factors of c(5).\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 462667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12 + (-4 - -2) + -7. Suppose 4*k - 5*k - 7 = z*g, 2*k = -2*g - 2. Solve -6*u + s = -u - 8, -10 = -k*u - 3*s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -181 + 181. Let l(x) be the third derivative of 3*x**2 + 0*x + m*x**3 + 5\/24*x**4 + 0. Let o(f) = -f**2. Determine l(o(q)).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*v = 268*v + 5*f - 15, 3*v - f + 21 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 1 + 3*u + u**2 + 0*u + 4. Let m be v(-4). Let k(c) = 4*c - 8. Let t be k(m). What is the greatest common divisor of 70 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -623, -1236, -1845, -2450, -3051, -3648?\n\"Answer: 2*x**2 - 619*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*r**5 + 377*r**2 + 4*r**4 - 307*r**2 + 105*r**5 + 420*r**2 wrt r?\nAnswer: 6660*r**2 + 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 5*r - 7, -7 = -4*o + 3*r - 2*r. Let q(i) be the first derivative of i + 1 + 1\/2*i**o. Differentiate q(n) with respect to n.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 q when three letters picked without replacement from qmffqm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1890 = -2405472*n + 2405409*n for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 46\/5 of a gram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 60*(-16)\/((-16000)\/40)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 1:08 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(2*j + 2*j**4 - 2*j).\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 37, -8, -3, -1 in descending order.\nAnswer: 37, 21, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.995 + 11. Let j = 0.005 - p. Which is the closest to j? (a) -2\/9 (b) 1\/6 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -194 - 310. Suppose -59*j = -w*j - 612. Is j a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 - -1227060763845?\nAnswer: 1227060763845.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 182213 and 4723358.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 49270*h**2 + 59*h - 2. What are the prime factors of x(-1)?\nAnswer: 3, 47, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254417701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 51902442743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/4)\/(30\/40).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 116 - 112. Let o(s) = 3*s - 1. Let n be o(2). Put n, 2, -2, h in decreasing order.\nAnswer: n, h, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 1 + -2 + 41. Let f = m - 37. Suppose 12 = -0*g + 4*g + 2*w, 3*g - 3*w = 0. Solve n = g*n + f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 21 + 32 = x, 5*f + 218 = 4*x. Suppose 2*w + w = x. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 32*n - 1. Let b(z) = -83*z**2 + 6*z - 9. Let k(o) = -2*o + 3. Let i(c) = -b(c) - 3*k(c). Determine r(i(x)).\nAnswer: 2656*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14513 - -19778. Calculate the highest common divisor of w and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1715\/1029)\/((-152)\/162 - -1)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j + 392 = -14*j. Calculate the remainder when j is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/84)\/(164\/(-861))?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/3 (b) 1221819 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1184 or -1231?\nAnswer: -1184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z - z - z. Suppose 13*l - 16 = 9*l. Let t(q) = l*q**2 + 10*q**2 - 15*q**2. What is y(t(c))?\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 + -60. Let q(x) = -x**2 - 24*x - 26. Let s be q(a). Let t(y) = 865*y + 5. Let c be t(s). What is c rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 8*v + 33*v + 2 - 6. Let a be z(6). What is the highest common divisor of 22 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*z - 2*l - 528 = 0, 0*z - 122 = -5*z - 8*l - 10*l + 21*l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40819804\/7 or 5831402?\nAnswer: 5831402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjxj when four letters picked without replacement from {k: 1, x: 5, j: 3, s: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**3 - 42*r**2 - 2*r + 42 = 0.\nAnswer: -1, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4740024 is divided by 1183?\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s**3 + 13*s**2 + 11*s + 13. Let v(x) = -2*x**3 + 6*x**2 + 5*x + 6. Give 6*g(h) - 13*v(h).\nAnswer: -4*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98618, -98546, -98440, -98300?\nAnswer: -98126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -4 + 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 100, -4\/7, 569, -1\/4.\nAnswer: -4\/7, -1\/4, 100, 569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 56 = -64. Suppose 3*g - r = -2*r + 190, 0 = -4*g - 4*r + 248. Let z = g + v. Round z to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-996)*(-14)\/(-70)*(16 + -19).\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 370845 or 1112531\/3?\nAnswer: 370845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -16. Suppose -4*i - 680 = -3*a, 9*a - 2*i - 1124 = 4*a. Suppose y*m = 3*m + a. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/16*4 - -30*2\/(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + w**2 + 2*w + 1. Let d be i(0). Which is bigger: 0.23 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -343, 4.\nAnswer: -343, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -28126*l**2. Let u(n) = 2*n**2. What is u(i(k))?\nAnswer: 1582143752*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-2 + 6 + -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3184 in -3, 5, -1\/10, 7, -2\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 31\/2 of a microgram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f = -4*f + 90. Solve 0 = -7*b + f*b - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 10:10 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 25.02003 months?\nAnswer: 0.020850025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20336 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 9:34 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 3)*(-t + 3*t + 10*t + (7 - 3 - 2)*(3 - 3 + 2*t) - t + 0 + 0) to the form m + u*t and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 116*c + 6432. Determine u(41).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen halves of a tonne in kilograms?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 403 + -399. Solve 4*j + 2 = t, -j - u = 5*t + 7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 - 1)*(-10 + 10 + g) - 2 + 2 + 2*g)*(0 - 4 + 2).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/2 - 36478*o**3 + 437763*o**2\/2 - 328329*o.\nAnswer: -o*(o - 3)**2*(o + 72962)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11\/2, -0.3, 3, 418?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m + m - 2*m + 3*m - 5*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 17301*0.05\nAnswer: 865.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.310467 to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -u + 8. Suppose 27*a - 24*a = 9. Solve 0*z = 2*z + 4*y - u, -a*z = y - 15 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -2798.\nAnswer: 9\/1399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(147)*-6)**2 + sqrt(24)\/(sqrt(8) + sqrt(648))*-3 + 3.\nAnswer: -3*sqrt(3)\/10 + 21171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 749901 is divided by 749892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 39, 21, -37, -147, -321, -571, -909?\nAnswer: -1347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -4*d**2 + 3. Let r(k) = k. Let j(w) = a(w) + 6*r(w). Let v(q) = -9 - 2*q + 9. What is v(j(u))?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*(-12)\/(-126))\/((-16)\/(-18)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4411 + -4414. Which is the closest to -2\/3? (a) -555 (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1869676?\nAnswer: 2, 19, 73, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-33 + 7) - 4 - (0 - 0)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -402 = 5*t + 293. Let o = t - -19. Does 10 divide o\/9*(-9)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/51920 and -83\/10384?\nAnswer: 51920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.91 + -0.09. Let y = q + 0. Let v be 3\/(-12) + 2\/2. What is the biggest value in v, 4, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-11*14\/30 + 5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + b - 3*b)*(-1 + 2*b**3 - 7 + 7)*(-3 + 7 + 0 + (-4 + 3 + 2)*(0 - 1 + 3) - 20 - 82 - 79).\nAnswer: -700*b**4 + 350*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -41*t - 4*t**2 - 27*t - 5 + 131*t - 32*t. Let u(p) = 5*p**2 - 32*p + 6. What is 6*l(q) + 5*u(q)?\nAnswer: q**2 + 26*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**8*q**(-7))\/(q*q**(1\/4)*q*q*q)**(8\/5)*q**(-2\/11)\/(q*q**(1\/5)*q)*q**(-2\/5)*q**(-4) assuming q is positive.\nAnswer: q**(-692\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -5*i - a - a, 0 = -4*i + 2*a - 42. Let m be ((-84)\/9)\/7*i\/8. What is f in f**4 - m*f**3 + 0 - 1\/4*f**5 - 1\/4*f + f**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 7 + 5 = 0. Let u(s) = s**3 - 41*s**2 + 3*s - 116. Let f be u(41). Solve y*z - 2 = f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15207, 15192, 15169, 15138, 15099, 15052, 14997?\nAnswer: 14934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q + 93. Let v(n) = n - 31. Let o(l) = -3*u(l) - 8*v(l). Let c be o(7). Is 50 a factor of -131*(1 + -5 - c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**5\/60 - 28*l**2 + 2. Let r(n) = 8*n**2 + 2*n - 3. Give -6*d(t) - r(t).\nAnswer: -2*t**2 - 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 452, 2\/215, -1 in decreasing order.\nAnswer: 452, 0.5, 2\/215, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 25 = -28 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 21*u - 57. What is o(18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0973 to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(-2*sqrt(180)) + ((sqrt(190) - (1*sqrt(190) + sqrt(190)))\/sqrt(10) + -1 + sqrt(684))**2.\nAnswer: -121*sqrt(19)\/12 + 476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 5*p + 29, p - 5*t = -0*p - 19 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4*sqrt(1900) + 2 + -1 + 3 + 2)**2.\nAnswer: -640*sqrt(19) + 30464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2299 = 178*m + 341 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -45345, -90610, -135789, -180882, -225889, -270810, -315645?\n\"Answer: 43*u**2 - 45394*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 3*g = -11, -3*p + p + 5*g - 19 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2316000 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/3 (b) 2 (c) -5 (d) -2623\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1388 = 3*k - i, -4*k + 1854 = 2*i. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -77265 (base 15) to base 12.\nAnswer: -163095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26127*r + 27318*r + 26127*r - 79588*r.\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/12 and 65\/305762?\nAnswer: 1834572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -711 - -718. Is 29 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 7*v + 13. Let y be j(-8). Calculate the greatest common factor of y and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fjzzzjzjfj. What is prob of sequence zjfz?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 17. Let g(q) = -15*q - 1531. Let u be g(-102). Let h(i) = 1. Determine u*h(r) - d(r).\nAnswer: r + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -1. Suppose q + 5 = 4*a - 2, -5*q + 13 = -4*a. Let c(x) = -x + 3. Determine a*c(l) + 7*i(l).\nAnswer: -3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83 + 84 - 251 - 3*t**2 + 2*t**3 - 4*t + 90 to g*t + o*t**3 + c + z*t**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2187, 4342, 6497, 8652, 10807, 12962?\nAnswer: 15117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 9*a = 37, -5*q + 4*a - 19 - 4 = 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + o + 4 = 2*l, -o = 0. What is the common denominator of -95\/14 and 34\/6*l\/(-16)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-49)\/(-14)*(-40)\/(-14). Let j be (3\/l)\/((-9)\/(-24)). Factor -j*w - 18\/5*w**2 + 0 - 14\/5*w**3.\nAnswer: -2*w*(w + 1)*(7*w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jgl. What is prob of sequence jg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 1. Let s = -5 + 4. Let a be o(s). Let u be (a\/(-4))\/(3\/(-30)). Solve -17 = -u*i + 3*g - 1, 2 = -g for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -58, -328, -808, -1498, -2398, -3508?\n\"Answer: -105*v**2 + 45*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*z, z - 2*g = -5*g. Suppose -4*t - 8*i + 13*i + 27 = 0, -t - 3*i = 6. Put t, z, -1 in decreasing order.\nAnswer: t, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, w: 3, n: 4}. What is prob of picking 1 n and 3 u?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74706512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 7*v**2 + v + 1. Calculate p(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -0.3 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98120112.\nAnswer: 2, 3, 2044169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h = -10*h + 17*c + 36, 8*h - 6 = -5*c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27807376*d + 55614758*d - 27807380*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 186638*s**2 - 186893*s**2 + 6 - 2 to v + u*s + r*s**2 and give r.\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 42*u + 18. Let i = 147 - 141. Let m be w(i). Calculate the greatest common factor of 30 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177 + -10553492.\nAnswer: -10553315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h. Let j be (1 - -1)\/2*-16. Let v(a) = -5*a - 5*a + 0*a. Let p(w) = 2*w. Let z(m) = j*p(m) - 3*v(m). Give z(c(u)).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -0.3 (b) 7\/2 (c) 2\/35 (d) -4\/5 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d + 3783 = 16117. What are the prime factors of d?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a meter in centimeters?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -37, -85, -153, -241, -349?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35641539 by -146673.\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1731.\nAnswer: 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n + 0*n - 3 - 5.\nAnswer: -4*n - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -188e2e2 + 0?\nAnswer: -188e2e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3820933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 2)\/((-5)\/20). Suppose -4*k + x*q = -51 - 13, 22 = 2*k - 4*q. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -7, 3416, 1, -39, 0.1 in descending order.\nAnswer: 3416, 1, 0.1, -2\/5, -7, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 204*j**2 + 11*j + 21. Let y(l) = 41*l**2 + 2*l + 4. Determine 2*n(r) - 11*y(r).\nAnswer: -43*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 - 211 = 5*u + 5*h, -1 = -h. Let b be (-1)\/(-2)*8\/u. Let w = 18 + -17.6. Sort w, b, -2.\nAnswer: -2, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, b: 3, u: 1, h: 2, v: 3, s: 1}. What is prob of picking 2 b and 1 h?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.53 + -13.771?\nAnswer: -14.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 2*s**6\/45 - s**5\/6 + s**4\/6 + s**3\/9 - s**2\/3 - 12*s. Let v(b) = 0. Calculate b.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*s - 12 = 0, -3*s - 12 = 2*v - 4*v. Let u(i) = 18 + i + 7 + 21 + v. Is 23 a factor of u(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - 253. Is g >= -283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10200112 + -1022?\nAnswer: 10122020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express i**3 - 2*i**3 - 18*i**2 + 5*i**3 + i**3 as a + k*i**2 + w*i + f*i**3 and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, v: 11}. What is prob of sequence zzzz?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 2*b + 0*b + (1 - 2 - 1)*(3 - 3 + 2*b) - b + 0 + 0 - 2*b + 0*b + 0*b)*(6*b**3 + 2*b**3 - 2*b**3)*(0*b + 3*b + b).\nAnswer: -216*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/8 - 2321*i + 18569\/8.\nAnswer: -(i - 1)*(i + 18569)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -20, 4*h = -3*s + 4*s + 2720. Is h 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 660189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95736483*r - 95736492*r - 1 + 191472976*r + 1.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**3 - w**3 - 3*w**3 + 2*w**3.\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1571 is divided by ((-360)\/(-240))\/((-1)\/(-30))?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 9069040*q - 5140467907600.\nAnswer: -4*(q + 1133630)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) - (2 + sqrt(17))*-3) + sqrt(51)\/(sqrt(24)\/sqrt(8)) + 1)**2 + 1)*-6.\nAnswer: -2850 - 420*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -274.1318 take away 0.4?\nAnswer: -274.5318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*(2 + ((sqrt(171) + sqrt(171)*2)*5 + (sqrt(171) + sqrt(171)*1)*5)\/(1*sqrt(900)*5 + sqrt(900))).\nAnswer: -5*sqrt(19)\/6 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*o + 4 = 0, 3*o = -2*w - 0*w + 9. Let k be ((-66)\/77)\/(4\/(-14)). Solve -7*j - 8 = -w*j + 4*h, 2*j + k*h + 2 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 70*y - 155. Let r(g) = -54*g + 157. Determine 3*j(i) + 4*r(i).\nAnswer: -6*i + 163","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 21 = -h - 5*z, 4*h + 2 = -2*z. Suppose 2*g + 0*j - j = -69, -84 = h*g - 4*j. What is the units digit of (g\/(-6))\/(-2)*-3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*k = 55 - 16, u + 3*k - 15 = 0. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1895603 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -264550 divided by 2405\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -4, 4 in descending order.\nAnswer: 5, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 78 = 3. Let y(o) = -91*o - 35. Let h be y(-2). Let k = h - 45. What is the remainder when k is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.159 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14494*r**2 - 15357*r**2 + 89*r + 1166*r wrt r.\nAnswer: -1726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -2\/9 (c) -6\/5 (d) 134.43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 4*x = 11, 2*x + 8 = 57*w - 55*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t - 8*t**2 - 912 + 3*t - t + 902 to the form q*t**2 + n*t + w and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 508232690 to the nearest integer?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 w, 1 y, and 1 p when four letters picked without replacement from ffppawy.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221120222 + -1002?\nAnswer: 221112220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 178681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**2 + 3*l - 3. Let f(c) = 10*c**2 + 8*c - 11. What is 4*f(r) - 14*p(r)?\nAnswer: -2*r**2 - 10*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*((-4)\/(-3) + -1). Let i(f) = f**2 + f + 3. Give i(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-162)\/20)\/27)\/(14\/10)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 361.9075 micrometers to kilometers.\nAnswer: 0.0000003619075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, o: 4, p: 7}. What is prob of picking 2 o and 2 w?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 10*h - 354. Let o(n) = 2*n - 89. Give -2*b(p) + 9*o(p).\nAnswer: -2*p - 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5850 (base 9) to base 5\nAnswer: 114323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.786*0.04163\nAnswer: 0.03272118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-9)*18\/3. Suppose 0 = -w*l - 3*z + 17, 3*l + 2*z - 4*z = 0. Solve -l*v + 3 + 7 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10091770 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*h = -3*x + 117*h + 20196, -5*h = -4*x + 26929. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3090 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10488 and 12190?\nAnswer: 2779320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 133*b + 3. Let t be p(-3). Let y be (t\/14)\/(2\/(-14)). Let l = -83801 - -83819. Calculate the greatest common factor of l and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26114 is divided by 227?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/8682 and 101\/9612.\nAnswer: 13908564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66.2 + -66. What is the nearest to q in -2\/11, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9992*y**4 - 4268*y**4 + 2477*y**4)*(-1 + 2*y + 1).\nAnswer: 16402*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 99 - 109. Let a be 4\/14 + x\/14. Is 11 a factor of (a\/8)\/(1\/54)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.27397089 rounded to two decimal places?\nAnswer: 3.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i**3 + i**2 - 6*i + 2. Let a(b) = -2*b**3 + b**2 - 5*b + 2. Determine 6*a(m) - 5*c(m).\nAnswer: 3*m**3 + m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*s + 7*s - s to the form f + z*s and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 37\/(-66) - 0\/(-12). Let p = -8215\/33 - -249. Let k = o + p. Which is bigger: k or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = p. Let q be 7 + 1\/(2\/(-4)). Suppose p*m - 3*y + 5 = -2*m, -q*m = -5*y. Calculate the remainder when m is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 2. Suppose -5 - z = -w. Let c be 2\/6*-1*0. Solve -y + 4*q - 9 = c, y = -0*y + 3*q - w for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19 and -24948?\nAnswer: 474012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3*n**2 + 5 + 1)*(-n**2 + 0*n**2 + 2*n**2) to y + x*n**3 + t*n + s*n**4 + k*n**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 526026 + 14.673.\nAnswer: 526040.673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -6. Let q = 1 - -4. Let o = q - 4.6. What is the closest to 0.1 in g, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20366 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: Let b be (1 - ((-2)\/(-2) + 2)) + -6. Is 3\/(6\/b) - (-16528)\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*y - 0*w - 3*w, -4*w = -3*y + 3. Find the common denominator of 71\/(-6)*y\/(-10) and -2 + (-1)\/(-18)*-43.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/3))**(-22)*b**(-3)\/(b**(-5)*b*b) assuming b is positive.\nAnswer: b**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 368\/5175*(-8525)\/(-2046).\nAnswer: 8\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 2*v - 5*v)*(53 - 4*v - 53).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7239 is divided by 2405.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/((-275)\/(-30)))\/(-2*8\/80).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 151686 = -4*m + 1413090, 8 = 2*m. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -67*r + 472. Let t be a(7). Solve -3*z = -t*c + 24, 3*z + 2*z = c - 28 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 8:06 PM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (371 - 171 - 62 + 427)*(0*y + 2*y - 3*y) in the form q + p*y and give p.\nAnswer: -565","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 90*c**2 + 175*c - 84. Let o be k(-88). What is the greatest common divisor of o and 394?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 87.739 (b) 0.4 (c) -1\/11 (d) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32077 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1458885 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**6\/40 + j**5\/10 + 13*j**2\/2 - 28*j. Let g(p) be the first derivative of n(p). Let g(q) = 0. What is q?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.3 - -0.7. Let v = 520 + -1665. Let r = -1149 - v. Is r < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*a + 21*a - 98*a)*(-2*a - 3*a + a) + (1 + 1 - 3)*(-a**2 + 4 - 4).\nAnswer: 425*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 562*y = 541*y - 189. What is the third biggest value in -1, 2, y, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - -10001100?\nAnswer: 10000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -49752343907 and 0.071?\nAnswer: 49752343907.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*-1 + (-35)\/5 + 23258 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2733303961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1367?\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 v, and 1 y when four letters picked without replacement from yhaahuuvhhhvvvh?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16 and 0.63146?\nAnswer: -10.10336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**6\/72 + 23*h**5\/180 - 5*h**4\/36 - 11*h**2 + 2. Factor s(z).\nAnswer: z*(z + 5)*(5*z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -0.3, 6292, -9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 + 145. Suppose 7 = -5*m - 8, 5*t = -3*m + n. Suppose -3*z - 5*i = -0*z - 54, -t = -2*z - 5*i. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3) - 1544\/(-24). Suppose 0*j + 2*j - 22 = -3*p, -4*j + d = -4*p. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 2*c - 812 = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 - 85035 + 85035.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 4*o**2 + 16*o + 14. Let r be a(-5). Suppose 4*c - x - 3*x + 236 = 0, 0 = 4*c - 3*x + 238. Let s = c - r. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13530 + -1?\nAnswer: 13529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3294, 3295, 3296, 3297, 3298?\nAnswer: 3299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1775 and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -v**4\/12 + v**3\/6 + 5*v**2\/2 + v. Suppose 5*c + 2*p - 15 = 0, -5*p = -7 - 18. Let l = c + -1. What is d(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k**(-4\/7)*k)*k**0*k**6\/(k\/(k**(-8)\/k)))**(5\/19) assuming k is positive.\nAnswer: k**(-85\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -76731.\nAnswer: -7\/76731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 49, 80, 133, 214, 329, 484, 685?\nAnswer: 938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 4*w)*(21 - 7 - w**4 - 23).\nAnswer: 4*w**5 + 36*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*m**2 + 4*m**2 + 2*m**2.\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*g = -75*g + 9990. Calculate the smallest common multiple of g and 6.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2361113 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, f: 2, a: 9}. Give prob of sequence fann.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(5\/4)*b)\/(b\/(b**(-1\/12)\/b)*b))\/(b**(2\/15))**(2\/5) assuming b is positive.\nAnswer: b**(-133\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5 + sqrt(847) + -2*sqrt(847) + sqrt(847))*-4)**2*-3.\nAnswer: -4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 3*k**2 + 2*k. Let j be f(-3). Let q be (3\/j)\/((-1)\/4). What is the second derivative of -t**q + 3*t**2 + 0*t + 2*t wrt t?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 11 = 3*u - 0*i, -3*i - 10 = -4*u. Find the second derivative of 6*z**3 - 14*z**3 + u + z + 13*z - 19*z**3 wrt z.\nAnswer: -162*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 + -3)*(-38)\/(-4). Let v = 31 - k. Is 7 a factor of 87\/v + 2\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-3)*6\/(-5). What is the greatest common divisor of r and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79992 - -142385. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - b**2 + 2*b)*((b**2 - 5*b**2 + 3*b**2)*(2*b + b + 0*b) - 72*b + 72*b - 6*b**3).\nAnswer: 9*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 330.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -100*o + 407. Calculate l(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0, 2\/9, -1\/4, 4\/303, -11?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/18*(-6)\/(-30))\/(2\/(-558)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2936 + 17090 = 61*b - 104. What is the lowest common multiple of 495 and b?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3, -28\/9, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, 0, 9, 20, 33, 48?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.9 - 5.8. Round a to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17249 - 25492863?\nAnswer: -25510112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 2*p**2 + 3*p - 1. Let f(s) = s**3. Let d(k) = 2*f(k) + u(k). Determine d(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in -99\/5, -7\/5, 3, -436, 7?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76456, -76220, -75826, -75274, -74564, -73696?\nAnswer: -72670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/64)\/(3\/(-6))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -2.003. Let t = 0.0030105 + a. Round t to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*m**3*v - 156*m**3 + 21*m*v**3 wrt v?\nAnswer: 2*m**3 + 63*m*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 12:24 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 14*t = -9*t + 20, 3*f + t - 14 = 0. Solve -8 = -f*w + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1273 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -6*d**3. Let y be x(-1). Suppose 5*c - 1 = g - y, -5*g + 25 = 0. Suppose c = -s + 1, -2*w + 2*s + 38 = 2*w. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25895487 and 1671.\nAnswer: 1671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 1\/9 (b) 64 (c) 0.3 (d) 11 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mj when two letters picked without replacement from ajmamxxvmmamu.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -87\/134 + -4451\/2948. Calculate the common denominator of -7\/8 and d.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 - p - p**4 - 57 + 29 as x + y*p**3 + i*p + l*p**4 + b*p**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 3*q = 4*d - 19, d - 4 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2340 = 28*f + 110 + 658 for f.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 3403\nAnswer: -3403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 11) to base 13\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29\/5 of a century?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63082678 to the nearest integer?\nAnswer: 7942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 3*z + 9 + 3*z - z.\nAnswer: 4*z + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 + 228*u + 227.\nAnswer: (u + 1)*(u + 227)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 + 63 - 30) + (0 - -16).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*3*(-10)\/(-18). Suppose x*a + 4*y - 401 - 318 = 0, -a + 3*y = -140. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 - (-16 - (32 + -36))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n + 2*n + 0*n + 9*n**3 + 4*n to the form h*n + z*n**3 + u + i*n**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n**3 - 2*n**2 + n - 1. Let s be y(-2). Suppose -s + 43 = 3*k. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3244, 2, 5 in decreasing order.\nAnswer: 5, 2, -3244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 6*d - 837 = -12*d. Solve -33*p + 4*c - 20 = -d*p, -p = -4*c + 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**5\/2 - 12*s**4 + 19*s**3\/2 + 225*s**2 - 108*s - 864 = 0.\nAnswer: -24, -4, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 1161 = 2*o, -2 = -d + 3. Suppose o = -2*j - 2*j. What is the common denominator of -81\/2 and j\/(-10)*15\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnnnnnndnnn. Give prob of sequence gn.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 3*l - 2. Let t = l + 2. Suppose 9 = u - 2*z, 4*u - 21 - 23 = t*z. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 2:34 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 11, 6, -70 in decreasing order.\nAnswer: 11, 6, -4, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -367 - -362.46. Let j = b + 4.539669. What is j rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 11058.83ml?\nAnswer: 11.05883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and 2055?\nAnswer: 14385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107\/485 - 2\/97. Let n = -195 + 195.3. What is the closest to 0 in n, -3\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76 and 12045012?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*o + 10 = 0. Let l(y) = -10*y**3 - 4 - 5 - o*y**2 + 10. Calculate l(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10256, -10181, -10060, -9893?\n\"Answer: 23*v**2 + 6*v - 10285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 1. Suppose 0 = -5*b - 1 - 4. Let f be l(b). Suppose -3*c + 23*c - f*c**3 - 3*c**3 - 15*c**2 = 0. What is c?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w. Suppose 0 = 2*y + 3*v + 8, -y + 8 - 12 = -3*v. Let n(s) = s + 1. Let p(f) = 4*f**2 + 4*f + 4. Let g(k) = y*n(k) + p(k). What is z(g(m))?\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 + 28*b + 97*b - 36*b + 83*b.\nAnswer: 172*b - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, x: 5, v: 2, s: 5}. What is prob of sequence zzv?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 0.09 (c) 1 (d) -1960750 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 less than -53034.32822?\nAnswer: -53425.32822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 409105362, 409105361, 409105360, 409105359, 409105358, 409105357?\nAnswer: 409105356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -7\/5, 1\/3, 0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31455581 and 197.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 4*p + 3*p)*(3*p**2 - 6*p**2 + 0*p**2) - p**3 - 2*p + 2*p + 1 - 1 + 2*p**3 + (-p**2 - 3*p**2 + 3*p**2)*(11*p - 11*p + p).\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14076.\nAnswer: 2, 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/27? (a) 0 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11 - -d?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-83)\/((-13280)\/(-5504)) - -36?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 5:18 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, o: 8, f: 3, w: 2}. Give prob of picking 1 w and 2 x.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1352902275 and -208.93.\nAnswer: 1352902066.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2679 * -0.3\nAnswer: 803.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 194 + -185. Solve -r*n = -5*n + 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3521*d**2. Let c(z) = 11*z**2. Give c(a(f)).\nAnswer: 136371851*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*d - 15. Let w be d\/88 + (-11)\/(-44). What is the closest to 0 in -5, w, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1814 - 1810. Solve 6 = -2*i + 2*d, -y*i + d - 17 = 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1170\/(((-720)\/27)\/5 - -6) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6052 + 8416 = 4*d + 8*j, 4*d - 14533 = 5*j. Calculate the highest common factor of 156 and d.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4162843.7 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 483265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 5*f**3 + 102*f - 108*f - 14 - 4*f**3 - 7*f**2. Let c be q(8). Solve 4*i + c*y = 0, 5*i = -0*i + 3*y + 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2548*5.\nAnswer: 12740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + o + 15 = -0*o, 0 = -2*o. Let p(r) = -r**3 + 4*r**2 + 7*r - 2. Calculate p(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4*-2*sqrt(190) + -3*sqrt(190)*1))\/(sqrt(40)*-6 - sqrt(100)\/(sqrt(10) + sqrt(490))).\nAnswer: -528*sqrt(19)\/97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjj. Give prob of sequence jjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1000122020 (base 3) to base 2\nAnswer: 100111010110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 2*k**2 - 6*k - 56. Give o(-5).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiitiiihihti. Give prob of picking 2 t and 1 h.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 53, 101, 165, 251, 365?\n\"Answer: h**3 + 2*h**2 + 35*h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -6*c**2 - 14*c + 26. Give n(-6).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -o**3*u - 2*o**3 + 6*o**2*u + 3*o**2 - 23*o*u - 4*o - 112*u - 217 wrt u?\nAnswer: -o**3 + 6*o**2 - 23*o - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/77154 and 5\/1967427.\nAnswer: 3934854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -4, -2, -343520?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w**2 + 16*w + 16. Let n(l) = -2*l - 2. Let t(z) = k(z) + 8*n(z). Let j(i) = -66 + 75 - i**2 - 3*i + 3*i. Determine t(j(q)).\nAnswer: 4*q**4 - 72*q**2 + 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 255384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + -20. Let h(r) = r - 3. Let y be h(g). Let v(n) = -n**3 + 5*n**2 + 3. Determine v(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 271 + -496. Let l be j\/(-54) - 1\/6. Solve 2*v - 2 = 0, -v - 14 = l*i + 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (-10 - -63) - (1 - 17).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -219*p**3\/2 + p**2\/2 - p. Let z be k(-2). Does 13 divide z\/25 - 2\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 528*h**4 - 25*h**3 - 13*h**2 + 2*h. Let x(r) = 261*r**4 - 11*r**3 - 7*r**2 + r. Let v(d) = -3*o(d) + 7*x(d). Find the third derivative of v(b) wrt b.\nAnswer: 5832*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**3 - 3*c**2 + 6941085*c - 71409714 wrt c.\nAnswer: -3*c**2 - 6*c + 6941085","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2316449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -214.3 + 214.31. Let v = 0.32 + -0.4. Sort l, v, -2\/15.\nAnswer: -2\/15, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 1 = 9*u. Suppose 0 = 6*v - 2*v + 4. Let h(m) = m**2 + 2*m + 1. Let p be h(-2). Sort p, u, v in decreasing order.\nAnswer: p, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -24 + 6\/(7 - 1). Is k at least as big as -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 223959, 447932, 671911, 895896?\nAnswer: 1119887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*t**3 + 263*t**3 + 280*t**3 - 111*t**3.\nAnswer: 560*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/25 of a millennium?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -9, -1, 0 in descending order.\nAnswer: 1, 0, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/4 of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30875 is divided by 383?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 12020112?\nAnswer: 12020120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.25 - 13.25. Let m = -119 + c. Let t = m + 131.99931. What is t rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 207*q**2 + 110*q - 20405. Calculate m(-208).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1331 + 144*t - 140*t - 1331.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*((-170)\/30 - 3). Sort -4, -2, q in descending order.\nAnswer: -2, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 7*l**2 - 7*l + 8. Let g be j(-8). Suppose v + 5 = -0*v + 5*x, 4*v - 105 = -5*x. Calculate the smallest common multiple of g\/7 + (-2)\/7 and v.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -587 - 160. Let r = j + 786. What is the remainder when 113 is divided by r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1529.7 - 1731. Let x = y - -201. Let o = -10 - -6. What is the third smallest value in x, o, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 + 48. Suppose -5*x + 7*x = 0. Suppose x*v + 2*v = 28. What is the lowest common multiple of q and v?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-12)*-12 - (12 - (-153)\/(-27)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 6*t**2. Let f = -988 - -988. Let k(u) be the first derivative of 0*u**2 - 9 + f*u + 1\/3*u**3. What is b(k(p))?\nAnswer: 6*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (142\/(-11928)*-2)\/((-3)\/(147*1)*-2)?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*j**3*w + 8812291*j**3 + 3609*j**2 - 21*j*w + 2*j - 33*w wrt j?\nAnswer: -18*w + 52873746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -7. Suppose 2*b + 2*b = -3*i - 1, 0 = 3*b + 3*i. Let p(j) = -6*j**2 - j. Let q be p(b). Sort -3, q, u in descending order.\nAnswer: u, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t + 1472 = 15*t + 18*t. Solve 10*z + 24 = t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 1. Let a be v(2). Suppose a*h - 32 = 3. Calculate the greatest common factor of h and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4721*24.945\nAnswer: -117765.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6220499?\nAnswer: 389, 15991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.2, -3.1, -2 in decreasing order.\nAnswer: -0.2, -2, -3.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 5047\nAnswer: -15141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*r - 354 + 3489 = 12*r. Solve 19*b + 0*b + r = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q - 2. Let k be d(3). Suppose w = -w + k. Suppose -4 = 4*i, -3 = -3*r - 4*i + 8. Calculate the remainder when r is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.0507, 2.4, -0.4, 35 in increasing order.\nAnswer: -0.5, -0.4, 0.0507, 2.4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 755 - 1457\/2. Find the common denominator of -45\/86 and g.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.048 - -0.038. Let r = b + -8.49. Let h = -0.6 - r. What is h rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14.209 + -11.509. What is the nearest to 1 in 8, -0.5, a, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-144)*(0 + 2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493626119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**3 - 36*d**2 - d + 40. Let n be l(18). Solve -n = -j - 17 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*x = -84 - 18 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 752?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -1 + 2*r - 4*r - 4 + 3*r. Let h(p) = 2*p**2 + 14. What is h(i) - 12*n(i)?\nAnswer: 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 7:50 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363)*2)**2 + 3.\nAnswer: 1455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 3*t**2 + 2*t + 5. Suppose -c - 3 = 2*n + 3, 2*n + 14 = 3*c. Let y be m(n). Solve -4*g = 3*q + g + y, -5*g = 4*q + 9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 2.8, 4, 1\/6, -0.08, -6\/83?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2. Let t(n) = -12053*n**2 + 34*n - 2. Determine t(k(a)).\nAnswer: -12053*a**4 - 34*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011849 rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 6:55 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x - 4. Let n be t(-4). Suppose 3*m + m - 72 = n. Let v = 127 + -76. Calculate the remainder when v is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 2*m + r - 777501, 4*m = 2*r + 622012. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6753931333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-132)\/(-1815) - (-64)\/88.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117, -116, -125, -150, -197, -272, -381, -530?\nAnswer: -725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2562*o**6 + 8*o**2 + 4*o - 4*o - 1004*o**6 - 4 wrt o.\nAnswer: 186960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -1, 3, -2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -82*d*j*p - d*p - 66*p wrt j.\nAnswer: -82*d*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g - 5*o = 111, g - 5*o = -9. Let u = 34 + g. Suppose 11*q - u = 16*q. Put -10, 2, q in decreasing order.\nAnswer: 2, q, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = 3*a. Let h be -1*2*(22 - 23) - 6. Which is smaller: a or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 49 + 0*o**2 + 0*o**6 + 0*o**5 + 11\/7*o**7 + 0*o**4 + 0*o + 17*o**3. Find the third derivative of v(r) wrt r.\nAnswer: 1320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -2*p + p - 5, -162*q = 154*q - 314*q - 3*p + 17 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 460, 3831, 10140, 19393, 31596, 46755, 64876, 85965?\n\"Answer: v**3 + 1463*v**2 - 1025*v + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 a factor of 5304456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1001 + -214244013?\nAnswer: -214300014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1539)*3 + 4 - (-3 + sqrt(1539))*-1).\nAnswer: -36*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5308801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**3 + 3 - 24*z**3 + 2*z - 4 to the form d*z + p + m*z**2 + k*z**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/175277344 and -23\/275680.\nAnswer: 876386720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30214 - -434?\nAnswer: 31203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-286800)\/(-7648)*(-12)\/(-10)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j + 1. Let m be ((-4)\/(-3))\/((-20)\/(-45)). Suppose -m*w - 6 = -0*w. Let v(t) = 9*t - 11. Let o(l) = w*v(l) - 22*q(l). Give o(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 76068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - 1222\/(-52))*4\/(-7)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-1 + 0)) + 2 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3*12)\/2*1. Suppose 7*k = i + 10. Suppose 0 = 2*w + 10, 4*b - k*w - 9 - 39 = 0. Solve -4*q - 10 = 2*r, -2 + b = 2*r + q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3 = 12. Let x be 4\/(-3)*6\/4. Let b be 66\/18 - x\/v. Solve 9 = 4*i + 29, -2*r = b*i + 7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -392*z**3 + 216*z**3 + 177*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a meter in millimeters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 7*o**2 - 6*o - 5. What is i(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 8*h + 3. Let q(a) = -a**3 + 5*a + 4. Let u(w) = 7*w**3 - 33*w - 31. Let s(x) = 15*q(x) + 2*u(x). Give 2*c(p) + 3*s(p).\nAnswer: -p**3 + 11*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - (-6 + -31)) + -45.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6\/(-33) + 444\/22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47618 + 74860. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6188 divided by 14\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -75 + 74.969. What is m rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8*-1*(-6)\/(-48). Let k(j) = j**2 - j - 1. Let h(m) = -21*m**2 + 2*m. Determine p*h(g) - 2*k(g).\nAnswer: 19*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -15*w + 2. Is c(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3\/5 - 213272*g**2\/5 - 7254716*g\/5 - 61674912\/5.\nAnswer: 4*(g - 53352)*(g + 17)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 4:30 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4132000 (base 6) to base 8\nAnswer: -604100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -994.1091 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/4)\/((-8)\/208). Suppose -g = -t + 2*t - 5, -2*t = 5*g - f. Let s(k) = -g + 0*k - 2*k - 2*k - 3. Let z(o) = 6*o + 6. Give 8*s(v) + 5*z(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1575 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2871 + -2870.7. Which is the second biggest value? (a) y (b) 7 (c) -1 (d) -4 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bowt when four letters picked without replacement from oowkwtwbsbtswosbwt.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3579 - 2294. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) -95 (c) 2\/3 (d) -9 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2 = -6. Is -13\/6 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 0, 2, -5 in increasing order.\nAnswer: -5, -4, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*((-18)\/216)\/((-6)\/72)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90 by -90.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/13 + 2670*d\/13.\nAnswer: -2*d*(d - 1335)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2654*j**2 + 11*j + 109. Let c(h) = 1327*h**2 - 6*h - 55. Let f(n) = 5*c(n) + 3*v(n). Let t be f(-23). Round t to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1127 + -1115. Calculate the highest common factor of b and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -38, -37, -34, -29?\n\"Answer: d**2 - 2*d - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24074 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 170428 and 650612.\nAnswer: 89133844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540)*-4 + sqrt(540))*-6 + sqrt(540))\/(sqrt(60)\/(sqrt(5)*-1) + -4*sqrt(48)\/sqrt(4)).\nAnswer: -57*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/5)\/((-30)\/(-100)). Let o(v) be the third derivative of 1\/360*v**6 + v**2 + 1\/24*v**j + 0 + 1\/60*v**5 + 1\/18*v**3 + 0*v. Solve o(g) = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2. Suppose 20 = k - 6*k. Let g(m) = -m**2 - 6*m - 2. Let y be g(k). Let s(p) = -2*p**3 - 6*p**2 - 2. Determine y*c(o) - s(o).\nAnswer: 2*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 4*o**2 + 4*o**2)*(-2*o + 2*o + 3*o**2).\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 2276 and 2276 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14262, -28724, -43190, -57660, -72134, -86612, -101094?\n\"Answer: -2*s**2 - 14456*s + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4232005 is divided by 470221?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a - 28161 = -182490. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 27*w**2 - 57*w + 6. Determine j(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 128 = -f. What is the remainder when f is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - y = -12. Let a be (25\/(-6) - -4) + (-37)\/(-6). Let j = y + a. Solve -4*u - 5 = j*v - 31, 4*v = -u + 17 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, g: 1, v: 5, e: 3, s: 1}. What is prob of sequence sz?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c**2. Let a(v) = 36*v - 13*v + 1 - 18*v - 4. Let l = 3 + -1. Let n(p) = 4*p - 2. Let q(k) = l*a(k) - 3*n(k). What is d(q(g))?\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -204380306 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p + 266 = 31*p. Solve -3*f - 2*u = 5, 4*f + 11 = 2*u - p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/(-26 + (-13750)\/(-528)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + (1 - 2))*43. Let g = c - 41. Suppose -p + 511 = 5*b + p, 2*p - 208 = -g*b. What is the remainder when b is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 259.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4655 divided by 5?\nAnswer: -931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*n - 4*n. Let k(m) be the third derivative of 0 + 0*m**n + 1\/630*m**7 + 0*m + m**2 - 1\/72*m**4 + 1\/360*m**6 - 1\/180*m**5. What is j in k(j) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-12)\/(-6))\/14)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-3*(-1 + (sqrt(1872)*-2 - sqrt(1872))) + -4*-2*(sqrt(1872)*-2 - sqrt(1872)))**2)*-1.\nAnswer: -421207 + 1080*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b. Determine n(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {i: 8, w: 1, v: 4, y: 7}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 161943042?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -174, -348, -522, -696, -870?\n\"Answer: -174*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/6 and -81\/722?\nAnswer: 2166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c**2 + 21 - c**3 - 16 - 8. Suppose 2*s = 5 + 5. What is w(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 910605 + -911173.721. Let b = z + 568. What is b rounded to 2 decimal places?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 7 = 2*o + 9, o + 5 = 0. Let y(l) = 16 + 229*l**v + 19 - 227*l**2 - 4. Let x(m) = -4*m + 2*m + 0*m. What is y(x(q))?\nAnswer: 8*q**2 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 582894.69 rounded to the nearest 10000?\nAnswer: 580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, l: 3, a: 3, b: 5, x: 5}. Give prob of sequence al.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 101579.5, 1\/5, -9 in decreasing order.\nAnswer: 101579.5, 1\/5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*f - 74562 + 1735484. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 132 = 4*p, -5*p + 37 = z - 18. Let a = -10017 - -10047. Calculate the least common multiple of z and a.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190330 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - -26. Suppose 125 = -46*z + 1413. Suppose s + z - a = 0. Solve -g + s = -h - 2*g, 5*h + 4*g = -24 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(8\/7)*z**(1\/3)*(z**(2\/7)*z)\/(((z*z\/((z**3\/z)\/z))\/z)\/z) assuming z is positive.\nAnswer: z**(79\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31137 and 291.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -391934, -391781, -391518, -391139, -390638, -390009, -389246, -388343?\nAnswer: -387294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24, -794, -1616, -2442, -3272, -4106?\n\"Answer: -2*r**2 - 812*r + 838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -346 + 437. What is the remainder when 358 is divided by f?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 10073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -10. Let m = w + 12. Let t be m + (-4)\/(-8)*-2. Solve g - 2*s + t = 0, 0*g = g - 5*s + 16 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 189 = -2*i + 1813, 0 = -4*w - 3*i + 2671. Does 64 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12468, 25308, 38148, 50988, 63828, 76668?\nAnswer: 89508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 618177750?\nAnswer: 2, 3, 5, 227, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/33 and -19\/5050308?\nAnswer: 55553388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 15 = -w + 17, 0 = 4*s - 5*w - 49. Suppose 4*u - 25 = s. Let y = u + 1. Calculate the smallest common multiple of 18 and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352)\/(2*sqrt(11) + sqrt(11) + sqrt(11) + sqrt(11))*6 + 1)**2.\nAnswer: 48*sqrt(2)\/5 + 1177\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 61*i + 14. Let g = -12515 - -12519. Let t(d) = -20*d - 5. What is g*h(s) + 11*t(s)?\nAnswer: 24*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11799954 is divided by 85.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o*v + 1328*o - 38*v wrt o.\nAnswer: -v + 1328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15073 + -15071. Which is the third smallest value? (a) 1976 (b) t (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 16, 4, 2 in increasing order.\nAnswer: -6, 2, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7154634 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19178 - -10336. Is -8842 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 - 1\/2*l**3 + 11\/2*l + 2*l**2.\nAnswer: -(l - 6)*(l + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16596690 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*t = 2*x - 6, -3*t = 4*x + 15. Let d(z) = -2*z + 28. Let p be d(15). Sort x, -5, p.\nAnswer: -5, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 5*o + 921720000 = 0. What is o rounded to the nearest 1000000?\nAnswer: -77000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*s**5 - 16*s**4 - 495*s wrt s.\nAnswer: -60*s**3 - 192*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1\/6, -2\/11, 2\/541, 4, 42, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/((-3)\/((-6)\/(-2))). Let v(x) = 3*x**2 - 2*x. Let s be v(t). Suppose -8 - s = -3*f. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -438 - -433. Sort m, 5, -3, -1.\nAnswer: m, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*o. Suppose o = 3*k + 84 - 555. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20020410311 (base 5) to base 3\nAnswer: -1101001220021210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 807030 and 1220.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -75 * -0.2\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/1665912 and -143\/4997736.\nAnswer: 4997736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8*1\/(-2)*2 - 0. Solve -19*z + 23*z = -4*b, 0 = 3*z - b - f for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -181 - -166. Let b(c) = 31*c**2 - 33*c + 11. Is b(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - d + 1582 = -5*m, 0 = -5*d + 2*m + 1986. List the prime factors of d.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 3*q = -20, 23*f - 5*q = 27*f - 21 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**5\/20 - k**4\/3 - 7*k**3\/6 + k**2 - 27*k. Let x be v(-7). Suppose 18*m = 21*m - x. Is m a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4154613*z = 4155047*z + 2604 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -248 - 534. Let d = -513 - f. Suppose 7*p = 1277 - d. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 809542701 to the nearest integer?\nAnswer: 28452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 67*o**3*t**2 + 106*o**3 + 21*o*t**2 wrt t?\nAnswer: 134*o**3*t + 42*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z**3 + 0*z**3 + 2*z**3)*(15*z - 5*z + 4*z) to the form k*z**3 + s + p*z**2 + g*z**4 + h*z and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = x - 5, -5*l - 13 = -2*x - 5. Suppose 4*h + 2*d - 484 = 0, -h - d = 2*h - 363. Calculate the remainder when h is divided by (500\/20)\/(l - -3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a**3 - 65*a**3 + 2*a**3 - 87*a**3.\nAnswer: -161*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 224 + -218. Suppose x*b + 255 = 1071. What are the prime factors of b?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5042.9338 - -5043. Round g to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5041390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -751293, -751287, -751281, -751275, -751269?\n\"Answer: 6*y - 751299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, n: 4, h: 2, f: 1, t: 2}. Give prob of picking 1 n and 2 t.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 508452566 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 256005661 - 256005356.9999256. Let f = p - 304. Round f to six decimal places.\nAnswer: 0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.12 - 0.12. Let y = 3547\/33 - 323\/3. Suppose -g - 2 = 2. What is the second smallest value in j, y, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/9 + (-112)\/(-6). Let y = 24 - c. Put 4, y, 1 in decreasing order.\nAnswer: y, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 2*o + 15. Suppose 0 = s - q - 2 - 2, -2*s - 3*q + 3 = 0. Suppose -z - 2*r = -8, o*z - s*r - 32 = -z. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6527, -26107, -58739, -104423, -163159, -234947?\n\"Answer: -6526*g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 197\/1980 and -7\/66.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/57 + 721\/570. Let s = 1\/30 + w. Let -s + 2*z + 0*z**2 - 2\/3*z**3 = 0. What is z?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 0.5. Let f = 0 + y. What is the closest to 0 in 3, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30028750*c**3*h + 377983*c**2*h + 2*c*h + 4 wrt c.\nAnswer: 180172500*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o - 1. Calculate l(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*f - 11 + 0 - 15*f + 2)*(-267*f - 67*f - 207*f) to the form v*f**2 + a*f + q and give a.\nAnswer: 4869","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -3 (b) -0.2 (c) 2\/41 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/153 and (-100295)\/(-48841) + -2 + (-3 - (-74)\/26).\nAnswer: 2601","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 0.19, 14?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66 - (41 - (-105 - -137)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -7*q**4\/24 + q**3\/3 + q**2. List the prime factors of b(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -184 - 4\/5*s**5 - 16*s**4 - 324*s + 288*s**2 - 184\/3*s**3. Let v(i) = 0. What is i?\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22572*s**5 + 3*s**4 - 6*s**3 - 14534*s**2 - 16*s wrt s.\nAnswer: 1354320*s**2 + 72*s - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**2\/(u\/(u\/(u*u**3))*u)*(u*u**(-8)\/u)\/(u\/(u**(-2\/19)\/u)) assuming u is positive.\nAnswer: u**(-249\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 71, 384, 911, 1658, 2631, 3836?\n\"Answer: g**3 + 101*g**2 + 3*g - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/12)\/((-249)\/342 - (-300)\/400)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11 + 23 + -11)\/((-1)\/(-16)). Solve -5 = x - 2*c, -c + 1 = 14*x - z*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4563491?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f + 3*f**2 - 4*f**2 + 8*f + 4. Let i be p(6). Suppose 2*b - x - 4 = 0, i*x + 6 = -2*b - 10. What is the nearest to 2\/3 in -1\/4, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.001 (b) -0.5 (c) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*r + 139*r - 222 + 1134 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u + 699 - 6*u**4 + 704 + 0*u**4 - 84*u**2 - 1403 to k*u**2 + l*u + y + i*u**4 + p*u**3 and give k.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*t**5 + 59*t**3 + 4 - 59*t**3 + (-5 + 5 + 2*t**4)*(2*t + 0*t - 4*t).\nAnswer: 6*t**5 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4c - -3b8bc?\nAnswer: 3b870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39938867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 624\/5 - 206\/5*n - 2\/15*n**2 = 0.\nAnswer: -312, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17ba (base 12) to base 5\nAnswer: -43003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**2\/4 - 119753*b\/4 + 29938 = 0.\nAnswer: 1, 119752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -12*n**2 + n. Let o(i) = 202223*i. What is g(o(u))?\nAnswer: -490729700748*u**2 + 202223*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - h. Let j(i) = 2*i**3 - i**2 - 9*i - 1. Give b(w) - j(w).\nAnswer: -2*w**3 + 2*w**2 + 8*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 6*r**2 - 7*r + 3. Let m be g(7). What is the smallest common multiple of 14 and -1 + (-6)\/(-3) + m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 954362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**5\/3 - 20*p**4\/3 + 4*p**3\/3 + 40*p**2\/3 - 2*p\/3 - 20\/3 = 0. Calculate p.\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**3*k**2*s*w - 7*c**3*k*s - c**3*k*w + c**3*s**2 - 9*c**2*k*s**2*w - 2*c**2*s*w - 3*k**2*s**2 + 2*k**2*s wrt s.\nAnswer: 2*c**3 - 18*c**2*k*w - 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/106 in 9\/2, -3\/4, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 300, 307, 316, 327, 340?\n\"Answer: u**2 + 4*u + 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.04 + -0.07. Let y = -2.03 - q. Let k be 5\/(-3) - (-2)\/3. Which is the nearest to y? (a) -4 (b) k (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*g, 4*g = -4*j + 17 + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -3 + (2 - -2). Suppose 32 = -67*v - 35. Let y(g) = -g**2 + 11*g + 10. Let l be y(12). Sort 8, v, l, o.\nAnswer: l, v, o, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**4\/5 + 2*q**3\/5 + q**2\/5 - 2*q\/5 = 0 for q.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9402.167mg?\nAnswer: 0.009402167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -4 - 2) + 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*j + 3*j = -132 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36942583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -25*b - 9. Let v be r(2). Let w = 54 + v. Let o(m) = -31*m + 27. What are the prime factors of o(w)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -987319*f**3*n**3 - 456815*f**3 + 4*f**2*n**2 wrt n.\nAnswer: -5923914*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -179 - w - 6*w + 163. Calculate the lowest common multiple of c(-10) and 4.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -29, -60, -95, -134, -177, -224, -275?\n\"Answer: -2*g**2 - 25*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -32. Let y = b + 26. Which is smaller: 3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 3*t = -0 + 2, 0 = -t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(228)*2)\/((sqrt(12) - -3*sqrt(12))*-3) - -2*((-5 + (sqrt(19)*-3 - sqrt(19)))**2 + (-2*sqrt(171))**2).\nAnswer: 475*sqrt(19)\/6 + 2026","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13262 + 14198. Calculate the lowest common multiple of 20 and s.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a26 (base 11) to base 3\nAnswer: 21011202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*s - j - 102, -5*j = s + 451 + 150 - 219 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*n + 349*n**2 + 178*n - 87*n)*(-5 + 2*n + 5).\nAnswer: 698*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 25 - 45. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11110666 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 423.9952 - 424. What is t rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1897379867 to the nearest integer?\nAnswer: 1238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 34 + 13 = 0. Let o = t - 11. Suppose -f = -9 + 5. What is the remainder when o is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 z, and 1 w when three letters picked without replacement from zbxxwxxzzxwwpk?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 10*m**3 - 2*m**2 - 2*m + 10. Let k(w) = -21*w**3 + 5*w**2 + 5*w - 19. What is -2*k(f) - 5*q(f)?\nAnswer: -8*f**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(6\/(-5) - 273\/(-390))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3\/4)*p\/p**(-1)*p*(p**1)**7 assuming p is positive.\nAnswer: p**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 21390 = -5*x - 19963, -k = -4*x - 10330. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1714b18 (base 12) in base 6?\nAnswer: 245543232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6311*x - 6305*x + 48 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 s when two letters picked without replacement from {s: 8, a: 5, l: 1, w: 1, d: 2, g: 3}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382 is divided by 128.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*v = 16, 17 = 2*y - 0*y - 5*v. Suppose 139 = 7*n - y*n. List the prime factors of n.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 6*d + 7. Let q be p(-5). Factor -s - 3*s - 3*s**3 + 6*s**q + 3*s - 2*s.\nAnswer: -3*s*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -25.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 minus -0.738602?\nAnswer: -159.261398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 505 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/131760 and 133\/864.\nAnswer: 263520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11695, -23443, -35247, -47107?\nAnswer: -59023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00095 rounded to five decimal places?\nAnswer: -0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -914231, -1828331, -2742431, -3656531?\n\"Answer: -914100*w - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4432765 - 45.\nAnswer: -4432810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 172476 by -6.\nAnswer: -28746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -131 - -130.9. Let z = 0.88 - 0.08. Let i = z + -0.5. Which is the closest to l? (a) 0.1 (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from suvmh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-2)*-1)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 divided by 19?\nAnswer: -46\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -481*d - 198652. Calculate f(-413).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 - 6*i - 14. Let g be f(6). Suppose 60 = g*t - 16*t. Suppose 7 = -t*n + 27. Solve 3*u + 7 = -n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -12973584.\nAnswer: -12973583.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20209 to the power of 1\/2, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -138, -82, -26?\n\"Answer: 56*u - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*u + 7*u - 98 = -574 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17418649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5280.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.0599 - 0.4\nAnswer: -0.3401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/(-35) - 14\/(-10). Let r(u) = 4*u**2 + 3*u - 2. Let h be r(v). What is the nearest to -0.1 in h, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, 262, 982, 2096, 3604, 5506, 7802?\nAnswer: 10492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -274 - -277. Suppose 16 = -f + 5*h - 2, 0 = -f - 2*h + 10. What is the closest to y in 0.1, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 0. Let y = -2.9 + q. Let p = y + -0.5. Sort 4, 1, p in increasing order.\nAnswer: p, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/(o**(-6)\/o)*o**(-2)*o**(2\/11)\/(o\/o**2)*(o**0)**(4\/11)\/((o**1*o)\/o)**(-36) assuming o is positive.\nAnswer: o**(486\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 340*r**3\/3 - 230*r**2 + 140*r - 3. What is the first derivative of a(d) wrt d?\nAnswer: 680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -202426, -809532, -1821376, -3237958, -5059278?\n\"Answer: -202369*l**2 + l - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-363)\/(313632\/(-576))*1\/((-1)\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -11*g + 336*g - 252 + 259. Let b(s) = 2*s. What is b(k(z))?\nAnswer: 650*z + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 518499, 518500, 518501, 518502, 518503, 518504?\nAnswer: 518505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 d when two letters picked without replacement from ddmmvmdvddavd?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -132 - -234. What are the prime factors of a?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*a**3 + 13*a**3 - 38*a**3.\nAnswer: -52*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1485136 less than -1485137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*l**2 + 2 + 0 + 303*l**2 - 301*l**2.\nAnswer: 169*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a + 11. Give u(-8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, 3\/2, 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 10*z + 600. Let j(h) = -2*h. Determine b(k) + 6*j(k).\nAnswer: -2*k + 600","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1\/13, 3, 0, -2\/25 in ascending order.\nAnswer: -4, -2\/25, -1\/13, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1584628, 1584607, 1584586, 1584565, 1584544?\n\"Answer: -21*a + 1584649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2888722?\nAnswer: 2, 19, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17074998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 576 and 3049470.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 22, 7, 90, -16, 0 in descending order.\nAnswer: 90, 22, 7, 4, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y**2 - 20*y + 0*y**2 + 5*y**2 + 0*y**2 as l + r*y + f*y**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + n - 1. Let v be 3 - 3\/((0 - -3)\/3). Let f be a(v). Let g(b) = -75*b - 2. What are the prime factors of g(f)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/5)\/(97\/1455))\/((-3)\/5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j - 57. Let y be t(11). Let g = y - -23. Solve 0 = g*d - 7*d + 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -1\/4, -4, -4\/9, -1\/2 in ascending order.\nAnswer: -4, -1\/2, -4\/9, -1\/4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 232072?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 8, u: 5}. What is prob of picking 1 v and 2 u?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ljaajlllngallann. Give prob of sequence lgan.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/15*n + 2\/5*n**4 + 0 + 2\/5*n**2 - 16\/15*n**3 = 0. What is n?\nAnswer: -1\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70305, -70187, -69875, -69273, -68285, -66815?\nAnswer: -64767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -12.8. Let t be -2 + -1*(-18)\/3. Which is the smallest value? (a) -3 (b) z (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.8 and -1146.2.\nAnswer: 3209.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2 + sqrt(18) + 0 - (sqrt(162) + 0 + -4))*2*-2.\nAnswer: -24 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -12*p. Let q be o(0). Let w = -181\/45 - -38\/9. Factor -t**2 + 4\/5*t**3 + 2\/5*t + q - w*t**4.\nAnswer: -t*(t - 2)*(t - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117081000.\nAnswer: 2, 3, 5, 13009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2*-7.624954\nAnswer: -15.249908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 1:44 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shshhdsefhvvssh. Give prob of picking 2 s and 1 v.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 958 at least 861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -8 + 35. What is the remainder when 43 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -12251.\nAnswer: 1\/12251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 97459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.081827341384 plus -2431?\nAnswer: -2430.918172658616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*i**4*r + 2*i**3*r + 5*i**2*r + 115*r wrt i?\nAnswer: 16*i**3*r + 6*i**2*r + 10*i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1701129 divided by 12417.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 2.2.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 0*x + 4*x + 221, 5*x = 2*d + 62. Let u(z) = -17*z**2 + 52*z + 4. Let n be u(2). Let o = n + d. Put 4, o, 3 in decreasing order.\nAnswer: 4, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.6 + 5.6. Sort h, -2, -0.3 in ascending order.\nAnswer: -2, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w = 1764 - 1708 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1594387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 0.002, -10.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 3, 31584, 3\/2, 2, -1\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -35, -4, -0.3, -1.1, -61 in decreasing order.\nAnswer: -0.3, -2\/3, -1.1, -4, -35, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6845756 is divided by 4657?\nAnswer: 4623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*c + 4*n - 68 = 0, n - 204 = -3*c. Calculate the remainder when c is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -9*b. Let i(d) = -101*d**2 - 4*d. Give i(z(m)).\nAnswer: -8181*m**2 + 36*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u**(-6\/5)))\/u)\/u)\/((u*u**(-3)\/u*u)\/u)*((u\/u**20)\/u)\/((u*u*u*u**(-16)*u*u)\/u*u) assuming u is positive.\nAnswer: u**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 14 = 34. Let r be 4\/8 - 1640002\/z. Round r to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}