diff --git "a/data/dm_maths/full_data_1/2422_11255.jsonl" "b/data/dm_maths/full_data_1/2422_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2422_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the ten thousands digit of 2006074118?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1652*z + 5*r + 48 = -1648*z, -4*z + 48 = 4*r for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 106080*((-6)\/(-39) + (-264)\/195). Let v be (-4)\/28 - a\/154. Let w = 827 - v. Put -0.5, -1, w in descending order.\nAnswer: w, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 251, 797, 1861, 3617, 6239, 9901, 14777?\nAnswer: 21041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 6. Let h = 2 + j. Which is the biggest value? (a) h (b) -0.3 (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114504 and 5505?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3781, 14342, 38429, 82804, 154229, 259466, 405277, 598424?\nAnswer: 845669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7247 is divided by 1035?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 22*g**2 - 697*g + 5021. Give y(7).\nAnswer: 1220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 + g**2 + 3*g**2 - 2 - 8*g**3.\nAnswer: -8*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 282 and 987?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wd when two letters picked without replacement from {d: 16, w: 2}?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.6248996 milligrams?\nAnswer: 0.0000006248996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -96.5 - -97. Let y = -0.1 + 0. Let v = 58 - 179\/3. Which is the second smallest value? (a) v (b) p (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -152 or -0.141489?\nAnswer: -152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1184 and 39368.\nAnswer: 157472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*u = -37 - 16, -5*a + 120 = 5*u. What is the remainder when 146 is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkgkeegdkkeged. Give prob of picking 1 k and 2 e.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3017717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 958642.5 rounded to the nearest 1000?\nAnswer: 959000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from trcrwrwcwrcrirwrrrc. Give prob of sequence tric.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (132\/(-8))\/(-11)*(-2)\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.28296 - -0.03307. Round j to three decimal places.\nAnswer: 0.316","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 280, 574, 880, 1204, 1552?\nAnswer: 1930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9783.792g in milligrams?\nAnswer: 9783792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158620 divided by 7.\nAnswer: 22660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 30814366 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -11*m**3 + 6*m**2 - 7*m + 5. Let z(f) = -5*f**3 + 3*f**2 - 3*f + 2. Let n(t) = 4*k(t) - 9*z(t). Give n(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 186378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2700224 (base 8) to base 5\nAnswer: -143110222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 66 - q - 3*q + 38 + 2*q.\nAnswer: -2*q - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 2160?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4 - 15504*q**3 + 35460128*q**2 - 20982245376*q + 3663079964672.\nAnswer: 2*(q - 3488)**2*(q - 388)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -130253*n**2. Let p(j) = -308*j + 2. What is p(f(l))?\nAnswer: 40117924*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 925698.\nAnswer: 2, 3, 41, 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 257 + 216. Let z = -470.87 + g. Let h = -0.43 + z. What is h rounded to one decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 9 = -4*o - 7, v + 11 = -5*o. Let p be (-16)\/4 + v + 52 + -2. What is the highest common factor of 150 and p?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -8.3. Let n(y) = y**3 + 186*y**2 - 12087*y + 1. Let z be n(51). What is the third biggest value in t, -4, z, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*a + 33*a - 172 = 0. Solve -a = 6*v - 13 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3899582 meters to micrometers.\nAnswer: 389958.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -237 + 237.2. What is the second smallest value in -0.01, -39, l?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198471159 divided by -81979.\nAnswer: -2421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 0 + 8\/5*h**2 + 24\/5*h**3 - 14\/5*h**4 + 0*h = 0.\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -335 + 495. Suppose -3*j - 2*f + 97 = 0, 2*j - 6*j + 5*f = -n. Let u(b) = b**3 + 11*b**2 + 8*b - 2. Calculate the remainder when j is divided by u(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 459707?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -326611?\nAnswer: 326613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 1)*(-3 - 2*j + 3) - 4 + j + 4 + 3*j + 0 + 0 + 5*j - 3*j - 7*j to l*j + u and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5076*v + 9784*v + 55260 - 257390 = 6102*v for v.\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z**3 - 1 + 3*z**3 - 3 + z + 1 - 3*z**2. Let r(u) = -u**3 - 3*u**2 + 2*u - 2. Let q(f) = -3*r(f) + 2*y(f). Suppose 10 = -5*a - 10. Determine q(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 5*k + 20817, -3*o = -k - k - 31231. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-2 + -3 + (1 - -5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 3:06 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k + 0*k - 7*k**3 + 4*k**3 + 4*k - 3 - k**4 to the form r*k**4 + v*k + w + s*k**3 + t*k**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of v**5\/15 - 29*v**4\/3 + 3124*v**3\/9 + 2320*v**2 + 4800*v + 2251. Factor c(z).\nAnswer: (z - 60)**2*(z + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/20*35\/21.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a = 2*a - 114275. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 138230 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/3 - 152*z**2 + 1090*z - 4700\/3.\nAnswer: -2*(z - 5)*(z - 2)*(z + 235)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111101000 - -1111000000?\nAnswer: 101110101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, n: 12}. Give prob of picking 3 n and 1 z.\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 209.9821 + 0.0179. Let g = l - 209.476. What is g rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**4\/(g**(-9)*g**(1\/3)\/g) assuming g is positive.\nAnswer: g**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-58)\/(-493)*(-595)\/910\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.7 - 1.5. Let m = x + -12. Let o = -260 - -258. What is the third smallest value in -5, m, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 159175644, 318351286, 477526928, 636702570, 795878212, 955053854?\nAnswer: 1114229496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86669, -86677, -86683, -86687, -86689?\nAnswer: -86689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -f, 3*u + 4*f + 3 = 14. Which is the closest to -0.1? (a) u (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 225 and 10650.\nAnswer: 31950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, r: 3, t: 1, y: 4, z: 3, w: 2}. What is prob of sequence rzvr?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*k\/(k\/((((k**(-5)*k)\/k)\/k*k)\/k)))\/k))\/(k\/k**(-1\/11))*k*k**3*k**(-8))**(-32) assuming k is positive.\nAnswer: k**(-672\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -20.72\nAnswer: 8.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 365*d + 8343*d - 208992 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, -0.5, 1\/5 in increasing order.\nAnswer: -5\/2, -0.5, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (4 + -23 + 2) - (65 - 7).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 10) in base 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -713*i + 733*i - 2*t = 20, -2*i + 7 = -5*t - 6 - 133 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29777 - 59549\/2. What is the third smallest value in -5, q, -1.9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2202682\/7 and -314668 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*a = -55*a - 228. Let f = -67 - a. Let u(b) = -6*b**3 + 2*b**2 + 2*b + 4. Let o(x) = -13*x**3 + 4*x**2 + 5*x + 9. What is f*u(s) - 4*o(s)?\nAnswer: -2*s**3 + 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3153 + 3310. Solve -142*w + 90 = -z*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-4) + (-18)\/12. Let m be -1*((j + 0)*0 + -1). Let d(g) = g**2. What is d(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35745, 71491, 107237, 142983?\nAnswer: 178729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -0.1, -0.4, -13, -0.75?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2426041295591.3+5\nAnswer: -2426041295586.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(5\/3))**(-17\/5)\/(u\/u**38*u**(-1\/3)) assuming u is positive.\nAnswer: u**(95\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1135, 6, 4, 2, 163 in decreasing order.\nAnswer: 1135, 163, 6, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 1. Let c(a) = -a**2 - 26*a - 80. Let h be c(-12). Let t(v) = -66*v + 88. What is h*x(p) + t(p)?\nAnswer: 22*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmeaakmakmaazmn. What is prob of picking 1 k, 1 a, 1 n, and 1 z?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f + 1. Let y be h(-9). Let b = y - -8. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 26, -10105 in decreasing order.\nAnswer: 26, -3, -10105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 495 = 3*z, -4*w - 5*z + 104 = -393. Is 23 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o - 1. Let x(u) = -u. Let q(y) = -2*s(y) + 5*x(y). Let n be q(-2). Calculate the greatest common divisor of n and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29\/2 - 15. Is 4 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*y + 5*v, 3*y - 4*v - 24 = -y. Suppose y*q - 93 - 103 = 2*x, 72 = q - 4*x. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 765 is divided by 196.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/40 + -19 + 20. What is the closest to 0.3 in i, 1, -2, -1.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**9\/378 + 7*j**5\/120 - 2*j**3\/3 + 26. Let r(x) be the third derivative of i(x). Find the second derivative of r(c) wrt c.\nAnswer: 160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 - 73. Let d = s + -42. Let z = 73.00000126 + d. Round z to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*b + s + 15, -12*b + 10*b - 9 = 5*s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-38))**(-2\/99)\/((t*t\/(t*t**(-17)))\/t**(-1\/14)) assuming t is positive.\nAnswer: t**(-8713\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/45 + 52\/9. Let v = 1 + o. Calculate the highest common divisor of v and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1605897 by 1.\nAnswer: 1605897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 16. Suppose 2*v + g*j = -4, 0 = -j + 1 + 2. What are the prime factors of (52\/10)\/((-2)\/v)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 11:56 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3314*t - 2129 - 4001*t**2 - 2133 + 4262 wrt t?\nAnswer: -8002","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-77)\/(-5) + 2\/(-5). What is the units digit of (-1)\/((-3)\/l - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j + 5*m + 22 = -205, m = -5*j - 107 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 1 + 4 + -1. Suppose 4*a = 20, -4*g + c*a + 37 = 9*a. Suppose -j = g*j - 20. Solve j*p - 2 = 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -836429\/270 - -15492\/5. Find the common denominator of q and -149\/72.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 6:38 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 82 and 356676.\nAnswer: 14623716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(15)\/sqrt(5)) - (sqrt(2) + -4)*-1)**2.\nAnswer: -16*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22, 14, 14, 28, 62, 122, 214, 344?\n\"Answer: y**3 - 2*y**2 - 9*y + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(374)\/sqrt(99))\/(-5*sqrt(8)\/sqrt(4)).\nAnswer: -sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/9, -3, 10, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t. Let o(k) = 4*k**4 - 18*k + 2. Let l(z) = -36*m(z) + 2*o(z). Find the first derivative of l(g) wrt g.\nAnswer: 32*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 10 = -4*a, 5*a - 3*x + 162 = 188. Solve a*t - u = 19, -12*t - u - 15 = -15*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 15 = -5*g, 6*s = 7*s - 2*s + 11*g - 33 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6796 is divided by 3319?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2427 divided by 3?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1328 and 160.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*q = 0, -2*n + q + 5 = -10. Differentiate -2*t - n + 6 + 3 wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y. Let i(g) = 94857*g**2. What is i(n(p))?\nAnswer: 94857*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + -5 - 1 - -12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 o when two letters picked without replacement from iqiukiiiipqioii.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25091446 at most as big as 25091447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16 and 7624.745.\nAnswer: -121995.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 1. Let s be x(1). Suppose 0 = -s*p - 2*p + 12. Let g(i) = i**2 - 5*i + 8. Is g(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113104 + 0?\nAnswer: -113104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.475 + -0.675. What is the nearest to 2 in -2, 2, 4, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f + 9*f**3 - 7*f**3 - 16*f**3 to the form v + z*f**3 + j*f**2 + b*f and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1435099 to the nearest integer?\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*s + s + 16, -s = -2*k + 3. Suppose 234*u - 184 - 550 = -133*u. Solve 8 = -u*i + g - 5, 0 = i + 3*g - k for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + (1242970\/30 - 8\/(-12)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3518*a*b**4 + 2*a*b**3 - 11*a*b**2 - 4*a*b - 239*a wrt b.\nAnswer: 84432*a*b + 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/184 and 11\/12128.\nAnswer: 278944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o - 5*o + 4*o)*(5 - 1 - 5)*(3*o - 4*o + 5*o) as n + t*o**2 + b*o and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 27 = k, 2*y - 4 = -y + 4*k. Suppose y = -4*z + 8. Solve 0 = d - 3*r + 2, z*r + 1 = -4*d + 5*r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -16\/3*c**3 + 0*c**4 + 0 + 0*c - 3\/10*c**5 + 20*c**2. Differentiate o(s) with respect to s.\nAnswer: -36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 18, 19, 18, 15, 10, 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 2\/2512053?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(48)*6).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70777?\nAnswer: 7, 10111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n**2 + 9*n + 12. Let r be i(-5). Calculate the greatest common factor of r and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -8. Let z(w) = -w**2 - 3*w + 2. Let x be z(h). Suppose -5*q + i = -107, -4*q - x*i + i = -91. What is the remainder when 41 is divided by q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - 149\/(-11) - (-80)\/(-66)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21)\/91*2\/3. Let f = -0.01403 - 0.08597. What is the closest to -2 in 11, k, f, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/10)\/((-3)\/(-10)). Let g = -46 - -48. Solve x*p + g = 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) + -2)*6 + 1)**2 + -3 + sqrt(13) + -5 + sqrt(52) + sqrt(117)\/(sqrt(9) - sqrt(9)*-1).\nAnswer: -2897*sqrt(13)\/2 + 56741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -27798 times -0.9?\nAnswer: 25018.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millisecond in microseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 w when four letters picked without replacement from dddodwoow?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 25 + (14 - (-9 - -3 - -12)) + -14\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1081 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86353991?\nAnswer: 86353991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -116680 rounded to the nearest one thousand?\nAnswer: -117000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0)**(-49)\/(g**8\/g**8))\/(g*g**1\/g*g*g**(-1))**29 assuming g is positive.\nAnswer: g**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/(h\/((h**1\/h)\/h))))*h*h*h**(5\/2))\/(h**(-5)*h*h*h\/h**(-3\/8)*h*h) assuming h is positive.\nAnswer: h**(25\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 235 - -48b?\nAnswer: 6c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (174\/(-3190))\/(12\/(-200))?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5\/2, 26, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 467, 856, 1179, 1442, 1651, 1812, 1931?\n\"Answer: j**3 - 39*j**2 + 499*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*s - 749*s - 62020 = 0 for s.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 7*h + 7. Suppose -r - 13*r + 14 = 0. Let s be p(r). Solve -3*l = s - 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1371332, 1371333, 1371326, 1371305, 1371264, 1371197, 1371098?\n\"Answer: -d**3 + 2*d**2 + 2*d + 1371329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 638 divided by 3.\nAnswer: 638\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) -5 (c) 159 (d) -1\/5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(91) - 2*sqrt(91) - sqrt(91))\/sqrt(7).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + 2 + -3 + 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3419399 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*1 - (38 - 41)*(-1 + 3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + x = -5*f - 4, 4*f = -3*x + 20 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 6651 = -3*y, 5*o + 28*y - 8307 = 31*y. What are the prime factors of o?\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21421, -21808, -22193, -22576, -22957, -23336?\nAnswer: -23713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1414, -5660, -12738, -22648, -35390, -50964, -69370?\nAnswer: -90608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -874.\nAnswer: -1\/874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72137 is divided by 71954.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and -7 + ((-1898)\/(-24) + (-49)\/588 - 2).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**5 + v**5 - 2*v**5 + (-v + v + v**2)*(-v**3 + 4*v**3 - v**3).\nAnswer: 5*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 953 = 5*o - 114*b + 118*b, -b - 918 = -5*o. Calculate the greatest common divisor of o and 315.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u**3 - 4*u + 1. Suppose -4*k = 5*a + 6 + 6, -k = -4*a - 18. Determine b(k).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 403823 or 403826?\nAnswer: 403826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8145.604 millilitres in litres?\nAnswer: 8.145604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*p**3*r**5 + 2*p**3*r - 4*p**2*r**2 + 15*p**2*r - 55*r**5 - r**2 wrt r.\nAnswer: 2220*p**3*r**2 - 3300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -8*s**3 + 8*s**2 + 11*s. Let y(j) = 3*j**3 - 3*j**2 - 4*j. Let u(t) = 4*m(t) + 11*y(t). What is u(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11230121312 (base 4) in base 15?\nAnswer: -1e73b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2689*d**2*j**3 - 1817*d**2 - j**2 wrt j?\nAnswer: -16134*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*j - 185*j = -17324290. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.7 less than 0.033?\nAnswer: 5.733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -129, -308, -559, -882?\nAnswer: -1277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2, -25, -70, -133, -214, -313, -430?\n\"Answer: -9*g**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6\/7, 37, -2\/9, 1\/4, -4\/3?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10672\/7 + 1529. Calculate the common denominator of m and 1*-2 - 24\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 5:13 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/491 or 0?\nAnswer: 3\/491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3275 and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/2)\/(7\/(-14)). Suppose 4*o - 23 = -5*g, 2*o + 9 = k*g - 2. Put 6, 1, g in increasing order.\nAnswer: 1, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r - 427813 = 801590. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25187.048854 + -25187. Let v = o - 0.0495. Round v to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1471 divided by -3\nAnswer: -1471\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j. Suppose -2*p + 3*u = 3*p - 387, -5*u = p - 83. Let o = 125 - p. Let w(f) = -41*f - o*f + 90*f. Give h(w(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**3\/2 - 3*p. Let s(k) = -4*k. Let y(n) = -5*s(n) - 7*t(n). Let m(v) = 2*v**2 + 2*v**2 - 6*v**2. Give m(y(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/(-39) + ((-6)\/(-8) - 7098\/(-3528))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = z - 425. Suppose 2*u + z = 7*u. Calculate the remainder when u is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m**2 - 85*m**3 + 10*m**2 - 5*m**2.\nAnswer: -85*m**3 + 14*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j + 16*j = 82*j - 1225 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + (33 - 48 - (-16 + 14 + 7))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 519 + -5716\/11. Let q = -18301 + 164690\/9. Find the common denominator of a and q.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**4\/4 - 117*f**2 - 268*f - 175. Differentiate c(y) with respect to y.\nAnswer: -3*y**2 - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y - 6*y + 4*y + y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 5*a + 4*s, 0 = -3*a - 11*s + 15*s - 14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2819588986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -321*n + 633 = 207*n - 829 + 406. Suppose -5*z + 15 = -10. Solve 24*q**4 + 33\/2*q - 21\/2*q**z - 21*q**n - 6*q**3 - 3 = 0 for q.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62331.561 rounded to the nearest 1000?\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(240)\/sqrt(6) + sqrt(40))\/sqrt(8))**2*4 - sqrt(60)\/(sqrt(1200) + 3*sqrt(1200))) + -1.\nAnswer: -sqrt(5)\/40 + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.27 + -5.27. Let v = 11 + -7. Sort k, v, 1.\nAnswer: k, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(21)\/(-2*sqrt(7)) - sqrt(3))**2 + sqrt(3))*5 + 1)*-1.\nAnswer: -139\/4 - 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 9:55 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -23208 - -7292?\nAnswer: -15916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqdu when four letters picked without replacement from dcdddduducqd.\nAnswer: 7\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-7) + 88\/(-210). Let v be -1 - (-1)\/((-3)\/(-4)). What is the third biggest value in v, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3757*v - 4122*v + 214*v - 873810 for v.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (112\/(-6))\/(-7)*(-90)\/(-78)*13.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of 0 - 2\/27*f**3 + 5*f**2 + 1\/108*f**4 + 1\/270*f**5 + 0*f. Factor b(a).\nAnswer: 2*(a - 1)*(a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*h - 4781*h**2 - 1607*h**2 + 30*h.\nAnswer: -6388*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4.8, -0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -373 = 5*o - 1198. What is the remainder when o is divided by 82?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/165? (a) 4 (b) 1 (c) 3\/8 (d) 1.15 (e) -4 (f) 38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -57 - (2 + -2 + 0). Let b = 62 + f. Find the second derivative of 18*r**b - 52*r**5 - 155*r + 153*r wrt r.\nAnswer: -680*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 185*g - 7221. What is a(39)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7, -7, 20 in ascending order.\nAnswer: -7, -2, 7, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/15 - (-2)\/5. Solve -2 = -q - 3*t, p = -2*q - 5*t + 1 + 4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -2\/13, 3\/7 in decreasing order.\nAnswer: 5, 3\/7, 0, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37*-0.01196.\nAnswer: -0.44252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + a. Let c(u) = u**2 - u + 1. Let x be 0\/(-9) - (-49 - 2). Let g = -31 + x. Suppose 2*q + 3*b + 10 = 7*q, g = -4*b. Calculate q*c(l) - 2*v(l).\nAnswer: l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**2 + 24*o. Let z(a) = 14*a**2 - 29*a + 9. Let f be z(1). Let q(h) = h. Determine f*q(m) + u(m).\nAnswer: -2*m**2 + 18*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1342 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: Rearrange 286*z**3 + 12*z**4 - 6*z**4 + 29*z**2 - 31*z**2 - 7*z**4 - 60*z**3 - z to c*z**3 + y*z + d*z**4 + f*z**2 + q and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-58)\/10*((-40)\/4 - -5). Solve f + 24 = a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.209 and 461.512802.\nAnswer: 464.721802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*w - 25. Suppose 5*f - 31 + 11 = 0. What is the second derivative of 45*r**w - 4*r - r - f*r**5 wrt r?\nAnswer: 820*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*i - 7*i. Suppose 490*j - 6*j - 10*j = 0. Solve 2*c + j*c - 3*z = -1, 0 = i*c + 3*z + 19 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 60\/9*(-108)\/(-180). Solve -3*h = c - o, -12*h = -14*h - 3*c - 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4)*(-10 + 7*y + 10).\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4552 + 4016.8. Let p = 627 + m. What is p rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/55 and 7\/58157570.\nAnswer: 639733270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394881072 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23400 divided by -78.\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -10*o + 51. What is l(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -6\/13, 42, 1\/2, -11 in decreasing order.\nAnswer: 42, 23, 1\/2, -6\/13, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-180) - 24\/5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.743962 tonnes to micrograms.\nAnswer: 4743962000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2467605)\/(-9) - (-6)\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -21. Calculate the remainder when 28 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 750 - 330 = 0. Let c(y) = -11*y**2 - 55*y + 8. Let l be c(-5). What is the highest common divisor of p and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.21 - -0.65. Let g = f - 0.04. Let w = 2.6 + g. Which is smaller: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23019100 to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -9. Let v(x) be the third derivative of x**6\/60 - x**5\/30 + x**3\/2 + 17*x**2. Calculate the remainder when v(3) is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v + 19. What is g(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/16*4\/10. Let k be 6 + -1 + (7 - 57\/(-3)). Suppose -k*p - 8 = -35*p. Which is the third biggest value? (a) -1\/6 (b) p (c) n (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((96\/(-160))\/((-6)\/15)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117275 (base 9) in base 13?\nAnswer: 263a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14 + 631*y**2 - 632*y**2 + 1 + y**2 + 1 - 1 + (-8*y + 11*y + 11*y)*(-1 + 2*y + 1).\nAnswer: 28*y**2 - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -542*p - 158*p - 50366 = -6266 for p.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -370, -2040, -6326, -14536, -27978, -47960, -75790?\n\"Answer: -218*a**3 - 144*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 7721343?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2234 - 6707\/3. Sort 0.1, b, -2\/13, -20.3, -1 in increasing order.\nAnswer: -20.3, b, -1, -2\/13, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 = -4*n + 9*i, 0 = -280*n + 282*n - i - 16 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(2 + 2343\/(-1164)). Let l = b - -156. Put -5\/2, -1, l in increasing order.\nAnswer: -5\/2, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 273*q**2 + 5*q - 5. Let s(r) = 136*r**2 + 2*r - 2. Give 2*m(j) - 5*s(j).\nAnswer: -134*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express k**4 + 660*k**3 - 653*k**3 + k**4 - 1 - k as n*k**2 + y*k**3 + w + d*k**4 + f*k and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 30. Suppose 0 = -2*b - a*j + 22, 2*b - 3*j + 6*j - 17 = 0. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 30 = -5*g, -4*g - 5 = g. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - 0.2. Let r = 0.06 + 0.34. Let k = -8255 + 8260. What is the closest to z in k, r, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(32))\/sqrt(9) + -1 - (-1 + (sqrt(3)*-2*-3)**2)*-2.\nAnswer: sqrt(3)\/4 + 213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -16. Let n = -4 + x. Put n, -3, 2\/3 in decreasing order.\nAnswer: 2\/3, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21602417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**6\/10 + u**5\/6 + 3*u**2. What is the third derivative of k(t) wrt t?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -52 - -2?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**9\/3024 + c**6\/60 + 7*c**3\/6 - 21*c. Let k(f) be the second derivative of g(f). Find the third derivative of k(m) wrt m.\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22654802, -22654798, -22654792, -22654784?\nAnswer: -22654774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-135)*-3*(-160)\/(-96)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a micrometer in nanometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006193351 to four decimal places.\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1572 + 2194. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*u + 4158 = -197*u. Let o = u + 703. Solve -8*b + 6 = -o*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44333201 + 52?\nAnswer: 44333253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62765, -125529, -188293?\nAnswer: -251057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1326 by 6.\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdkkkkkkkkd. Give prob of picking 2 d.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57384301.\nAnswer: 13, 29, 152213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -120*t**2 - 3*t - 9. Let b(p) = p**2 + 1. Determine -a(m) - 9*b(m).\nAnswer: 111*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 788870891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7*p + 82 = 2*f, -4*f = p - 2. Suppose -h + 28 = -5*w + 10, -3*w = 0. What is the least common multiple of p and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -289 in -1, 4\/7, 2, -4, -1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 199218, 199220, 199222, 199224, 199226, 199228?\nAnswer: 199230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2650.904874 rounded to 0 decimal places?\nAnswer: 2651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10651 - 10658. Let k(o) = -o**3 - 6*o**2 - 7*o + 9. Give k(r).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 3*w + 29046. Let x = w - 15282. Round x to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -250*s + 258. Let f(g) = 2*g + 27. Give a(i) - 10*f(i).\nAnswer: -270*i - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0022444557 rounded to 4 dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 3:12 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s = 48 + 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 - 2*n**2 - 4*n**2)*(-26*n**2 - 5*n**2 + 3*n**2) + (2*n**3 + 4*n - 4*n)*(-1 - 2*n + 1).\nAnswer: 164*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o + 3. Let z be v(-4). Let w(d) = -3 + 3 - z*d + 9*d. Let q(b) = -b**2. Determine w(q(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 29 = 5*n, -2*n + 4 = -2*u + 2. Suppose 5*k - 30 = 4*d, 2*k = n*d + 8 + 16. Suppose 6*o**k + 10*o**2 - 13*o**2 - 9*o = 0. Calculate o.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + 15 + 1)*31\/2. Suppose 88 = 2*u - s. Let q = u + -58. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -226, -791, -1740, -3079, -4814, -6951?\n\"Answer: -x**3 - 186*x**2 - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101201220102 (base 3) in base 6?\nAnswer: 4310232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - 28.224. Let u = n - -0.064. Round u to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/2*(-69)\/(277035\/292)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 37\/5 of a millisecond?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 95, 302, 703, 1292, 2063, 3010?\n\"Answer: -x**3 + 103*x**2 - 95*x + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3030313 - 3?\nAnswer: -3030322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*c = 142*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(35\/(-25)) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.0461 + -6.1461. Which is smaller: 156 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 768*h. Let r(w) = -2*w. Give s(r(f)).\nAnswer: -1536*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2468 divided by 2\nAnswer: -1234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/10)*t*((((t\/t**(-1\/4))\/t*t)\/t)\/t)\/t*t)\/((((t**18\/t)\/t)\/t)\/t**(1\/9)))**(-4\/5) assuming t is positive.\nAnswer: t**(2437\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (52\/((-468)\/9))\/((-1)\/(-37))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**3 - 35*z**2 - 138*z**2 - 3*z**3 + 58*z**2 + z + z**3 in the form v*z**2 + d*z**3 + h + b*z and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z - 1. Suppose 0 = -3*m + m - 4. Let a be v(m). Let k be (-3)\/a - (-29)\/3. Solve 0 = 5*u + k + 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1708.0413 months to centuries.\nAnswer: 1.42336775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -139 (b) -15 (c) -2\/3 (d) 2\/5 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d - 1 = -46. Find a, given that d + 1390*a - a**2 + 2*a**2 - 1396*a = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(208) + sqrt(208))**2 + sqrt(208) + sqrt(208).\nAnswer: 8*sqrt(13) + 25168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g. Let q(w) = 168*w**2 + 132*w - 528. Let m(o) = -o**2 - o + 4. Let t(j) = 264*m(j) + 2*q(j). What is t(l(n))?\nAnswer: 72*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 117 - 15. Let d = i - 69. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*m + 23 + 9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26816 is divided by 208?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 6*c + 9. Let q be n(-7). Let y be (1 - 1) + (-12)\/q. Let z be (1\/y)\/(3\/24). Put z, -4, 3 in descending order.\nAnswer: 3, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 12*c + 31. Let r be k(-4). Let o(x) = 688*x**2 - 3*x - 3. What is the tens digit of o(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3039480.\nAnswer: 2, 3, 5, 8443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v - 1. Let l be h(2). Suppose 5*q = 13 + 2. Put l, -1, q in descending order.\nAnswer: q, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39993938899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 = 8*v - 149. What is the highest common divisor of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 23 in increasing order.\nAnswer: -5, -2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 6*t**7\/7 - t**3 + 9. Find the third derivative of a(g) wrt g.\nAnswer: 720*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssu when three letters picked without replacement from sssu.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**10*z*z\/(z\/(z*z**13))*z*(((z\/z**(-2\/11))\/z)\/z)**(-14\/3))**7 assuming z is positive.\nAnswer: z**(2296\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16470227?\nAnswer: 53, 109, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y + 14. Calculate b(-25).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**9)**(2\/25) assuming o is positive.\nAnswer: o**(18\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -2\/3, 1\/4, -0.4, 110?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90 - 48 - (0 - (0 + -2) - -6).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/4 (b) -0.3 (c) -0.5 (d) 2 (e) 1.9 (f) -3431\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 - -74. Suppose i - o*f - 31 = -3*i, 5*f + 3 = -3*i. Let l = 0.3 + 0.2. Which is the smallest value? (a) l (b) i (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/4*((-40)\/12 + 4). What is the greatest common factor of b and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(-2 + 2 - c) + (1 - 2*c - 1)*(2 - 3 + 0) + 0 + 1 + c - 3.\nAnswer: 5*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 10 + 5. Suppose s*r - 20 = -2*r. Suppose -r*z = -32693634 - 106366. What is z rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - 7 - (3 + 0 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37340040 to the nearest integer?\nAnswer: 6111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*w**2 - 62*w**2 + 9*w**2 + 5*w + (-2*w**2 + 2*w**2 - w**2)*(7 - 3 - 3) + (3*w**2 - 3*w**2 - 2*w**2)*(7 - 2 - 4) - 6*w**2 + 2*w**2 + w**2.\nAnswer: -45*w**2 + 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*z**2 - 1)*(0*z + z + 0*z) - 8*z**3 + 2*z**3 - 6*z**3 + (-z + z - z)*(0*z**2 - 3*z**2 + z**2) - 3*z**2 - z**3 + 3*z**2.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m - 3463425 = -122*m - 83*m. What is the greatest common factor of 25 and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 2 + -6 + 2 - -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 11965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127*k**4 - 20*k**3 - 2*k**2 - 2*k + 6259 wrt k?\nAnswer: 1524*k**2 - 120*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21078536382 - 303.\nAnswer: 21078536079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61 + 123. Put 2, q, -4 in decreasing order.\nAnswer: q, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 0 + 0)*(-2019 + 4767*o + 2019).\nAnswer: 4767*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -266724*m**3*v**3 - 2*m**3 + 4*m*v**3 + 392*m*v**2 + 2*v**3 - 12*v + 10 wrt m?\nAnswer: -1600344*m*v**3 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4906 + 4905.73. What is the closest to -11 in 4, 1\/2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - 52*g + 5*g - 18 + 12 - 2*g.\nAnswer: -51*g - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00311289 to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -123 (b) 206 (c) 0 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {o: 1, e: 1, k: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.87637734 - 80741?\nAnswer: -80748.87637734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 15228 = 3*b + 12*l, -b - 3*l + 5076 = 0. Does 36 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*g**3 + 3 - 2*g**2 - 3.\nAnswer: 25*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000125351 to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w - 1. Let h(g) = g - 1. Suppose -30 = -5*u + 5*a, 0 = -0*a + 5*a - 5. Suppose -u*p - 5 = -2*p. Determine p*h(i) + d(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/6*288\/27. What is the common denominator of 631\/(-60) - t\/40 and -47\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1330303 (base 5) to base 14.\nAnswer: 9b73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4)*(59 - 59). Suppose r - 2\/11*m**2 - 2\/11*m = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*a = -14 + 55, 4*h + 4*a = -36. Let d = h + -3. Let b(m) = -5*m - 4. Is b(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 2*t = -4, -4*t - 20 = -479*m + 475*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -474 + 465. Put -3, 4, 0, x in decreasing order.\nAnswer: 4, 0, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 44348, 88693, 133038, 177383, 221728?\n\"Answer: 44345*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (2 + 1)) + (1 - -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264699 is divided by 132332?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -113146.347015 + 3.\nAnswer: -113143.347015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 60*w**2 - 70*w - 480. Let y be n(-61). Solve 0 = 4*m + 5*i + 15, -66*m + 4*i + 12 = -y*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166547216813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**26*j**(-3\/5)\/j*((j**(-1\/7)*j)\/j)\/j**(-1\/18))**(-31) assuming j is positive.\nAnswer: j**(-474827\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 + 258*i**2 - 1068*i + 1080.\nAnswer: 3*(i - 2)**2*(i + 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/5724 and -73\/7632.\nAnswer: 22896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -9*q - 3. Let g(f) = -f**2 - f - 1. Let u(t) = 3*g(t) - i(t). Find the second derivative of u(w) wrt w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 188727 and 2299.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425075 is divided by 647?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012 divided by -11?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 993431?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -56*n + 61. Let a be t(-8). Suppose 51 = 7*u - a. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 21.5 at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/10*5 - (-442)\/(-189) and 46\/15.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*a - 20 = 181*a. Let h be -2 + 36 + 8 - a. What is the greatest common divisor of 722 and h?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -6447 - 1081. Suppose 0 = f*o - 949*o + 12080. List the prime factors of o.\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 71 = -3*v, -4*b - 55 = -3*v - 26. Which is greater: 142 or v?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 92 and -10.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 217831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -335750, -671555, -1007356, -1343153, -1678946, -2014735?\nAnswer: -2350520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 2. Let u = 21 - 19. Let r(k) = 2*k - 3. Give u*r(l) + 3*a(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from yhzyzyyyyhyoy.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*g = 7*g + 133, 2*w = -g + 85. Suppose -8*h + 0 = 8. What is the remainder when w is divided by 11\/h*(0 + -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 22*g**2 - 27*g - 590. Give n(-22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + (-5*(sqrt(175) + 0) - sqrt(175)) + -2))**2.\nAnswer: 56700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2008 - -6912. What are the prime factors of k?\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**5 - 2*i**2 + 2*i**2)*(4 - 4 - 1) + 18*i - 6*i**5 - 18*i.\nAnswer: -7*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 4*r**3 - 424*r**2 + 836*r - 416 = 0.\nAnswer: 1, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 12:28 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2664 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a**3 + 3*a**3 - 3*a**3 - 4*a**3.\nAnswer: -14*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -8. Let s be ((1460\/200)\/(-73))\/(2\/(-25)). Which is the second smallest value? (a) -2\/15 (b) r (c) -4\/3 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 3*t**2 + 2. Let d be j(-3). Suppose y - 12 = -d*y. Let b(q) = -66*q**2 - 2*q + 4. Let u be b(y). What is u rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x**2. Let r(n) = -6*n**2 + 6*n**2 + 2*n**2. Determine f(r(j)).\nAnswer: 20*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1678614 - -1678618. Suppose 0 + 128\/15*y - 176\/15*y**2 - 2\/15*y**5 - 4\/15*y**g + 24\/5*y**3 = 0. What is y?\nAnswer: -8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 16*k**2 - 63*k - 2. Let d be r(9). Sort 4, d, -200 in decreasing order.\nAnswer: 4, d, -200","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y + 6602 - 6602.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -4*l + 2. Let k(r) = -3*r + 1. Let z(y) = 6*k(y) - 5*m(y). Let c = 46 + -43. Suppose 13*p - 30 = c*p. Determine z(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of f**3\/3 - 5*f**2 + 12*f + 4. Let m be c(9). Suppose -2*b + 99 = m*j, -3*j - 6*b + b = -90. List the prime factors of j.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2712474 litres in millilitres?\nAnswer: 271.2474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 194*p**2 - 2 - p - 166*p**2 + 104*p**2 + 272*p**2 - 4 to o*p + g*p**2 + s and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 47839.61 seconds in microseconds?\nAnswer: 47839610000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33668*z**3 + 78*z**2 - 2*z.\nAnswer: -202008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/2 of a centimeter?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f + 13. Suppose 0 = 5*k - 31 - 14. Let i be o(k). Let m be 1 - 12 - (1 - 10). Put 0, m, i in decreasing order.\nAnswer: 0, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n - 69. Let v be w(43). Let j be 2 + (-10)\/8 + 325\/20. Calculate the greatest common divisor of v and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o - 25. Let a be c(23). Sort -6, a, -5\/4 in increasing order.\nAnswer: -6, a, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w + 1 - 13*w**2 - 2*w**2 - 8*w + 7*w in the form i*w**2 + q*w + g and give i.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 12*j - 9. Let u be b(11). Suppose -k + 18 = u*v, 30 = 5*v - 4*k - 2. What is the greatest common divisor of v and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-20) - (-2)\/(-4). Suppose c + 4 = -2*p - 10, -38 = 2*p - 5*c. Let z = p - -5. What is the third biggest value in t, -1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -6. Suppose -232 = -o*z + 2*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4410744 and 65325.\nAnswer: 110268600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -2*x + 2*w - 7, 5*w = 5*x + 10 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7004 divided by -6.\nAnswer: -3502\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -9*u**2 + 48*u - 9. Give v(7).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 497160 to the nearest ten thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4922867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -15, 0.4, 4, -422, -3\/5, 0?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.978 - 3. Round c to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4442098*q**5 + 2*q**4 + 94*q**2 + 159*q + 235?\nAnswer: 266525880*q**2 + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -57, -112, -167, -222?\n\"Answer: -55*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 30*k - 1358. What is the least common multiple of 66 and q(47)?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-10)*(-2 + 2). Let l = 8 + -12. Sort l, 2, y in descending order.\nAnswer: 2, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42246 and 2.\nAnswer: 42246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-8\/11)\/(a*a**(-6\/11)) assuming a is positive.\nAnswer: a**(-13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -51 (b) 1.2 (c) 6 (d) -1\/7 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(11\/2*((-702)\/(-429))\/(-3))\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 28*v**2 - 10*v - 44. Let j be k(13). What is the greatest common factor of 106 and j?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/58 and -91\/48448154.\nAnswer: 48448154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*s + 258. Let m(o) = o**2 + 3*o - 2. Let f be m(9). Let d = f + s. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**1\/g)**(-48)\/((g**(-2\/21)*g)\/g**(-6)))\/((g\/g**1)**27\/(g**(-1\/5)\/g*g**1)) assuming g is positive.\nAnswer: g**(-5786\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 8. Let j be b(-9). Let t = 3 + j. Solve -2*z + t = 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -42*n + 1. Let h(q) = -539*q + 1612*q - 535*q - 537*q. Determine h(t(y)).\nAnswer: -42*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 0 (c) 49.2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 4 - 0 - 21) + (4 - 2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-1))\/(1470\/140).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(363)\/(sqrt(33)\/sqrt(3)))\/(sqrt(12)\/(sqrt(4)*1)) + 2)*-4 + 2)**2.\nAnswer: -48*sqrt(11) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 209 = -5*m, -2*q + 144 + 62 = 5*m. Suppose f + m = -3*f. Let o be (-23)\/(-55) + 6\/f. Is 0 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**7\/210 - 2321*n**6\/120 + 1063*n**5\/30 - 1814*n**2 - 1. What is the third derivative of i(w) wrt w?\nAnswer: 24*w - 13926","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f**2 + 0 + 0)*(6673 + 5376 - 567 - 437 + 626) to the form j + u*f**2 + l*f and give u.\nAnswer: 11671","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/1*39 + -2. Let p = 182\/5 - b. Let w(r) = r**2 + r - 2. Let f be w(1). Which is smaller: p or f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 25*v**3 + 23*v**2 + 86*v - 17. Let s(r) = -13*r**3 - 12*r**2 - 47*r + 9. What is -6*g(u) - 11*s(u)?\nAnswer: -7*u**3 - 6*u**2 + u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 17136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 153789 * -5\nAnswer: -768945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m. Let h = -13 - -15. Let l(f) = -f**2 + 8*f - 1. Determine h*l(v) + 14*q(v).\nAnswer: -2*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78.25 - 0.75. Let m = z + 79.078. Round m to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7832)\/198)\/((-72)\/162)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 260 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140 and (-112)\/(-10) + (-8)\/11*1958\/(-1780).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 314, -567\/11, -0.12 in increasing order.\nAnswer: -567\/11, -0.12, 314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -2*h + 1 + 1, -4*h = -3*s - 8. Solve 0 = 2*c - 1 - h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**3 + 7 - 5 - 4*n**5 + 8*n + 3*n**5 + 2*n - 2*n - 4*n**5 + (3*n**2 - 2*n**3 - 3*n**2)*(-3*n**2 - n**2 + 5*n**2).\nAnswer: -7*n**5 - n**3 + 8*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1503, -1508, -1513, -1518, -1523?\n\"Answer: -5*j - 1498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12100212 - -122211?\nAnswer: 20000200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (-588)\/(-70))\/((-63)\/(-15))*135\/(-36).\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 2*a + 2*a)*(0*a + 4*a - a)*(2 - 2*a - 2).\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 657671 + -657674.36179. Let n = -9.8 + 13.16. Let p = n + g. Round p to four decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -5*t**2\/4 - 21675*t\/4 = 0.\nAnswer: -4335, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 310022 - 22?\nAnswer: 310000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -94.291576 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 0 + 2*w**2 - 1\/6*w**3 + 0*w + 1\/24*w**4. Let y(n) = n**2 - 2*n + 5. Let p(c) = -4*i(c) - y(c). What is j in p(j) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13121, 26248, 39375?\nAnswer: 52502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8090000 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*d**5 + 2\/11*d + 8\/11*d**4 + 0 + 12\/11*d**3 + 8\/11*d**2.\nAnswer: 2*d*(d + 1)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p + 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 4\/3 (b) -35\/9 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7815.46 + 7806. Which is the second smallest value? (a) 0.1 (b) -4\/3 (c) 2\/7 (d) 0 (e) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 31\/5, -8.2 in decreasing order.\nAnswer: 31\/5, -0.4, -8.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 5*b - 1135, 245 = -5*p + 6*p + 2*b. Calculate the remainder when 478 is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5*k = -40. Suppose 86 = -4*t - 5*i, -2*t = k*i + 25 + 23. Let o = 29 + t. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -82394.25194 to the nearest 1000.\nAnswer: -82000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -20108223 divided by 693387?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 32847 rounded to the nearest one thousand?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -413387691*b**5 + 46*b**2 + 1606*b + 121 wrt b?\nAnswer: -24803261460*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z**2. Let i(f) = -5*f**2 + 7. Let w = -6 + 8. Let o(g) = w - g**2 - g**2 + 1. Let a(d) = -3*i(d) + 7*o(d). Give y(a(m)).\nAnswer: 5*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*a - 79*a = -5*v - 35*a + 10, 2*v - 48 = 4*a for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -7210 >= -3878?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 108\/180*(117\/(-156))\/((-66)\/(-20))\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**3 - 818492*a**2 - 83741144258*a = 0. Calculate a.\nAnswer: -204623, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**5 - 18*a**3 - 24*a**2 - 9*a = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36487773.\nAnswer: 3, 7, 193057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2155389764?\nAnswer: 2, 11, 137, 357563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 490173168?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1100101?\nAnswer: 1101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2 - 64*c + 27*c.\nAnswer: -37*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1038180.\nAnswer: 2, 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 290, 328, 364, 398, 430, 460?\n\"Answer: -v**2 + 41*v + 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 5 - 4. Let r be (l + 1)*9\/(-6). Let j(c) be the first derivative of -c**4\/4 + 2*c**3\/3 + c**2 + 25. What is j(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1643, -3296, -4951, -6608, -8267?\nAnswer: -9928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 + -110000111?\nAnswer: -110010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2 - 8 = 0. What is the remainder when 16\/6*(-3)\/(-2) is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.682247991 to one dp.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 57, -778, -3137, -7812, -15595?\n\"Answer: -132*i**3 + 30*i**2 - i + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4550056 and 186?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one halves of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 + 640090*h - 20485760405.\nAnswer: -5*(h - 64009)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**5 + 643*z**4 - 2*z**3 - 1286*z**2 + z + 643 = 0.\nAnswer: -643, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 401297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 6. Suppose -3*k + l + 640 = 0, -5*k - 47*l + 48*l + 1066 = 0. Let c = k - q. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -184*n**6\/3 - 622*n**3\/3 + 109. What is the third derivative of z(u) wrt u?\nAnswer: -22080*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37 + 37 - 2*g + (-3*g + g + 4*g)*(1 - 4 + 2).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 204728*d + 3685118. What is m(-18)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -78*x - 87*x + 57 - 57 as r + u*x and give u.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.19 * -41.\nAnswer: 7.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*l**2 + 38*l**2 + 55*l**2 + 5*l**4 - 3*l**4 - 9*l**2 + l**3 as y*l**4 + a*l**3 + t*l**2 + o*l + v and give t.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2\/4 - 320075851*v\/2 - 102448550393374201\/4 = 0.\nAnswer: -320075851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.05 - -0.05. Which is the nearest to -0.1? (a) o (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/7))**(2\/23) assuming o is positive.\nAnswer: o**(-4\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 254437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 8*s**2 - 16. Let x be n(7). Let j = -41 + x. Let z be j\/(-12) - 779998\/(-3). Round z to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000110783 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 331716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -226050, -452069, -678088, -904107, -1130126?\n\"Answer: -226019*t - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -475 + 474. Which is the third smallest value? (a) 5 (b) d (c) -174\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/7 of a week in minutes?\nAnswer: 27360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.024147, 1, 9\/20 in ascending order.\nAnswer: 0.024147, 9\/20, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8549\/885 - 2\/295. Let b be 129 + 3\/((-12)\/16). Suppose -b + 0 = 5*r. Find the common denominator of r and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00087395883 to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2294*k**2 - 506*k**2 + 31*k**2 + 26*k - 26*k to the form i*k**2 + y + w*k and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 275971722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of z**5 + 11819*z**4 + 459*z**3 - 104*z + 294402 wrt z?\nAnswer: 20*z**3 + 141828*z**2 + 2754*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 15*x - 41. Let k be h(-7). Is (k\/20)\/((-18)\/(-210696)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75 + -299\/4. Let s = -4\/5 + 51\/70. What is the third smallest value in -0.2, 0.5, r, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h - 7. Let o be p(-7). Let x be (-1 + 4)*(o - -1). Determine m, given that -25\/2*m**4 - 2 - 14*m - 69\/2*m**2 - 35*m**x = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 - 150*k - 40 + 16 to s*k + g and give s.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, 1722 in ascending order.\nAnswer: -6, 0, 1722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-3)*(-3)\/(-4). Suppose -5*k = -y*k - 24. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*n - 37565 = 333519. Calculate the remainder when n is divided by 80.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence huo when three letters picked without replacement from aheeouu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, 5, -50 in decreasing order.\nAnswer: 7, 5, -4, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/10 + (-118)\/(-5). Suppose 0*n - 3*o + 23 = 2*n, -2*n + 4*o + 44 = 0. Calculate the greatest common divisor of h and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 - 5366?\nAnswer: -5384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(420)\/(sqrt(12)*-1))\/((1*sqrt(14))\/sqrt(2)).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*a + 6. Let m = -2.1 + 0.1. Is a at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4b + -10d?\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37572*v**4 + 56404*v wrt v.\nAnswer: 450864*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -8975*c**2 + 34*c + 17. Let v(d) = 2241*d**2 - 8*d - 4. Calculate 4*t(q) + 17*v(q).\nAnswer: 2197*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*r + 25 = -2*o, -68 = 4*o + 4*r. Let m = o - -14. Which is smaller: m or -1\/10?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g**2 + 2*g**3 - 3*g**2)*(-3*g - 4*g - 5*g)*(2 - 6 + 0)*(1 - 2 + 0) to n*g**4 + f + m*g**3 + a*g**2 + r*g and give n.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2747 is divided by 586?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1260357 and 0.1.\nAnswer: 1260357.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millennium in months?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) + 3*sqrt(196)\/sqrt(7))\/((sqrt(324) + 2*sqrt(324) - sqrt(324)) + sqrt(324))*6*-6)**2.\nAnswer: 1792\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1697 + 1698 + (1 - (1 + -13))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/(-10)*((-4)\/(-6))\/(-4*4\/138).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*u - 30 = 0. Suppose 24*d - u*d + 54 = 0. Suppose 2*y - 16 = 6. Calculate the lowest common multiple of d and y.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/6*((-2786)\/630 - 126\/(-30))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-24)*z*z**(1\/18))\/(z**(-38)\/(z**21*z)))**(-4) assuming z is positive.\nAnswer: z**(-1334\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/5 - 169728*v\/5 + 1628928.\nAnswer: (v - 169680)*(v - 48)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98639?\nAnswer: 98639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-2)\/(-1 - (-116)\/124)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + o - 24 = 0, -3*u + o - 8027 + 8010 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4851171 take away -738.6451?\nAnswer: -4850432.3549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 333060 and 365.\nAnswer: 24313380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/7 (b) -5 (c) -2\/5 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6003 and 1305.\nAnswer: 30015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 35 in ascending order.\nAnswer: 1, 3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6948 + 7027. What is the remainder when 145 is divided by f?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02168442778 to three decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 5 + 2 + (3 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 2, 0 in descending order.\nAnswer: 5, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3167524 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4\/3*6\/(-4)*6\/(-138)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*4*-2)\/sqrt(10).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -83 + 30955\/350 - 1\/((-70)\/4). Find q, given that -q**2 + 6 + 1\/2*q**3 - m*q = 0.\nAnswer: -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(54\/69*(-34)\/(-612))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -122202515 + -2?\nAnswer: -122202521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-8 - -19) + -2 + 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12409861*-1.\nAnswer: -12409861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 65835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 29*w**2 - 75*w - 18. What is the units digit of l(18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 8*v**2 + 5*v - 35. Let a be h(8). List the prime factors of (8 + a\/10*-2)*73.\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6554 = 2*m + 3*b, 616*m = 612*m + 5*b - 13152. Does m = -3283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1153.\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -3*x + 11, 0*x + 8*l = 2*x + 46 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 6*s**2 - 4*s + 2. Let x be u(7). Let d = x - -130. What is the highest common divisor of 11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 + 7*c**2 - 6*c - 5. Let x be n(-6). Let b = 5 - x. List the prime factors of b.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 11:38 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.66*-1\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 11779260.\nAnswer: 82454820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -13 + (-2 - 0) + 9. Is 6 - 39*11*18\/o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + -17. Let s = q - -22. Suppose 0 = -4*n - s*n - 4*f + 128, -158 = -5*n - 4*f. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggdzjaqdgdqagdgdj. What is prob of sequence zq?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 302634 and 1089.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 1) + (0 - 0) + 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11715 + 11724. Solve 5 = g*v - 58 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 7 = 5*h, 3*p = -4*h - 38 + 25 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 32 = -2*q - 5*d, q + d + 15 = 0. Let c be q\/39*4\/(-6). Let c*n + 4\/9 - 2\/9*n**2 = 0. Calculate n.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 208 + -143. Let s = g - 3. Let p = s + -62.1. What is the third biggest value in 5, p, 2\/13?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/1020*-17*20*6\/2352.\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3\/4 - ((-135)\/(-120))\/((-24)\/2160)\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1074 is divided by (-180)\/(-24)*(144\/20)\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 820 - -9303. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19374599?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1168556.648395 + -0.21?\nAnswer: 1168556.438395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + i + 3*i + 2)*(-3 + 3 + 4)*(-19 + 3 + 0)*(-5*i - 5*i**2 + 5*i).\nAnswer: 320*i**3 + 640*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 28 = -4*j, -2*r + 28 = 2*r + 3*j. What is the second derivative of r*o - 76*o**4 + 60*o**4 - o wrt o?\nAnswer: -192*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1856?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.6 and 733534.\nAnswer: 733534.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 7*n**2 - 2*n - 2. Let p be q(2). Let x be 56\/26 + (168\/(-78) - -2). Determine j so that -p*j - 4 - 2*j**2 + 3*j**x - 15*j**2 + 4*j = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, u: 4, y: 1, c: 3, l: 2, z: 1}. Give prob of picking 1 z, 1 g, and 1 y.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8088 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3630394 and 10629.\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1195\/2 + -581. Let o = -238\/5 - -397\/10. What is the common denominator of g and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 times 15642437\nAnswer: 125139496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -614, -2155, -4752, -8411, -13138, -18939, -25820, -33787?\n\"Answer: -i**3 - 522*i**2 + 32*i - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 983441414 less than 120?\nAnswer: -983441294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -590 + 5681. Suppose -w + 2350 = -y. Suppose -3749 = -4*c + w. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4590 - 1391. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**5 + 4*c**5 - 2*c**5)*(-1 + 0 - 3) + 3*c**5 - 4*c**5 - c**5.\nAnswer: -18*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3 (b) -1\/3 (c) 3\/4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -250, -210, -144, -52, 66?\n\"Answer: 13*b**2 + b - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 2. Suppose 4*g + 0 = 16. Suppose q - 10 = -g*q. What is the remainder when i is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 + 307?\nAnswer: 2f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-100)\/(-72)*75\/8 + -13. Let n = 2 + -1. Which is smaller: l or n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 25.5. Suppose 0*f - 26 = 3*t - f, 0 = -4*t - 2*f - 48. Which is the third biggest value? (a) -1 (b) v (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 656948*u - 656948*u - 43*u**2. Let p(k) = -k. Give w(p(o)).\nAnswer: -43*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -108*m**2 + 159 wrt m.\nAnswer: -216*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.17 (b) 0.03 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4*(-5 + (0 + -2 + sqrt(19) + -4)*4))**2.\nAnswer: -3616*sqrt(19) + 17633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 - 12*g - 62. Let m be s(-4). Suppose 2*j + 2*j = 220. Let u = j - m. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/3*w**2 - 260\/3*w - 3380\/3.\nAnswer: -5*(w + 26)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(405)*-5)\/sqrt(9))\/(-5*(sqrt(324) - sqrt(324)*2)).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(2*sqrt(8))*-4.\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 74*u + 2002. Let s be h(-27). Solve t = 3*k + 6*t - 3, -s*t = -3*k + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -281*i**5 - 396*i**2?\nAnswer: -16860*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1190099, 1 in ascending order.\nAnswer: 0.5, 1, 1190099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -27.681 and -104.\nAnswer: -131.681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 5 + 0 + -14 + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 8*f - 11. Let c be a(9). Let k = c + 7. Solve m + 4*z = -4*m + 24, 0 = -4*m - k*z + 21 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 9*h = 20. Let y be (-284)\/(-14) + h\/14. Solve -5*z = -z - y for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90321617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-4 - -1)\/(-1). Let y = 3 + o. Calculate the lowest common multiple of (-2)\/((-2)\/10 - y) and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 1. Let a = -1766\/5 + 353. What is the nearest to -1\/3 in 0.1, a, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*u + 296*u = -3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 143\/26 + (-2)\/4. What is the first derivative of -4 + 3*j**2 + 2 + r + 0 wrt j?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 275 and 209.\nAnswer: 5225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**8\/3360 + m**5\/120 - m**4\/12 - 2*m**2. Let h(j) be the second derivative of d(j). Differentiate h(r) wrt r.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 412 - 101 + 34*r**2 + 7*r**2 - 42*r**2.\nAnswer: -r**2 - 533","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -18*b**2 - 11*b + 11. Let r(v) = 10*v**2 + 6*v - 6. Let o(i) = -11*r(i) - 6*x(i). Let k(g) = 3544*g**2. Calculate o(k(w)).\nAnswer: -25119872*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1661 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/3)\/(8\/(-60)). Suppose 1 = -2*y + h. Solve 6 = -2*c - i - 2*i, -y*c + 3*i = 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 435830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i + 0*i - 120 = 0 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 34\/9 + (-6)\/(-27). Solve -18 = -3*v - 3*z, w*z - 11 = -v + 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -36. What is the greatest common divisor of p and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 2*w + 1050. Let g be q(0). Suppose -g - 930 = 10*x. Let h = x - -669. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.8 + 13.9. Which is the nearest to 1\/4? (a) -26 (b) 2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-4)*-7*(-330)\/693?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d + 37*d - 200 = -24*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 + 13824*n**2 + 16398063*n + 1081155810.\nAnswer: 3*(n + 70)*(n + 2269)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 67730365 a multiple of 1133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 265 + -278 + (1 - -6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2033 + 652 + 730)*(k**2 - 4 + 4) to the form i*k + u*k**2 + d and give u.\nAnswer: -651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-4))\/(4\/(-16))*196\/(-196)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-6\/5)*d)\/d**(4\/3))\/(d**(2\/27)\/d*d*(d**(3\/2)*d)\/d*d) assuming d is positive.\nAnswer: d**(-1109\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 24 = -3*s, -4*f + s = -s - 48. What is the greatest common factor of f and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21\/2 - -101\/10. Suppose 12 = -p - 2*p. Which is the third biggest value? (a) p (b) d (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*o + 26*o + 16 = -4*c - 0*c, -11*o - 5*o + 5*c - 13 = 21 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2179087 litres in millilitres?\nAnswer: 217.9087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*q**3 + 34*q**3 + 56*q**3.\nAnswer: 109*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 7 + 0*x + 1\/24*x**4 + 1\/6*x**3 - 1\/2*x**2. Let u(v) be the second derivative of h(v). Calculate u(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 15*s**2 - 3*s. Let o = -1136 - -1139. Let d(r) = -180*r**2 + 35*r. Determine o*d(y) + 35*u(y).\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fi when two letters picked without replacement from {i: 3, f: 3, n: 3, r: 5, k: 1}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c77 - -3?\nAnswer: -c74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 77317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 3. What are the prime factors of (62\/3)\/((-8)\/u)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 689811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 4:13 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33 + -30611?\nAnswer: -30644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**5 + 2520*x**4 + 294165*x**3 - 5850090*x**2 + 36221580*x - 73570680 = 0. What is x?\nAnswer: -261, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 0, -4, -16.\nAnswer: -16, -4, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/2919?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50037733?\nAnswer: 3881, 12893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2 + sqrt(2) + (sqrt(384) - sqrt(24))\/sqrt(12) + sqrt(2) + sqrt(2))**2 + ((sqrt(2) - (sqrt(300)\/sqrt(6) + sqrt(2)))*1 + -1)**2 + -3.\nAnswer: 34*sqrt(2) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 167*b + 1 = -166*b, -4*b - 161 = 18*z + 23*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1869.118715 rounded to the nearest ten?\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9394993\/72 - 130484. What is the common denominator of 3\/2*106\/42 and j?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4502042 - 1264?\nAnswer: -4503336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3738209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-2))\/1*(-6)\/12.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**2 - 2*y**2 + 6*y**2 in the form v*y**2 + x + m*y and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -13. Let u(p) = 2*p - 5. What is the units digit of u(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(190))\/sqrt(10) - sqrt(19) - (sqrt(19) + (-4*sqrt(133))\/sqrt(7) - sqrt(19)).\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 16) to base 3.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7131 + -7139.1. Let r(m) = m**3 - 9*m**2 + m - 9. Let i be r(9). Which is smaller: f or i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -7, 1, 69.7, -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 6 - 4) + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + 1 + 14 + (-3358)\/161)*-1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28275.0012377 - -28275. What is j rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -32385, -64831, -97277, -129723, -162169?\n\"Answer: -32446*r + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**2 - b**3 - 5*b**2 - 2*b**2.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -2. Let v be 5 + 4 + (-8)\/(16\/14). Solve -2*c = -x - v + n, -4*x = 4*c + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 44\/330*-3*(-1)\/4. Let x(g) be the second derivative of -6*g + 0*g**2 + 0*g**3 + 0 - r*g**5 - 1\/6*g**4 + 1\/21*g**7 + 1\/15*g**6. Factor x(b).\nAnswer: 2*b**2*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07 - -4.07. Let h = -4.06 + f. Let z = h + -0.24. Which is the third biggest value? (a) z (b) 4\/3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 32*n**2 + 55*n - 724. Give j(33).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 87 + -79. Solve -25*k + 29*k + y = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1187 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 - 1 - 3)*(9*b + 13*b - 17273 + 17293) to k + o*b and give o.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.19822 + 0.19822. Let k = 14 - 41\/3. Put f, 4, -1\/5, k in descending order.\nAnswer: 4, k, -1\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.29535ml in litres?\nAnswer: 0.09629535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -10*j - 50. Determine c(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 482 and 25134854?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.7567 decades to millennia.\nAnswer: 0.467567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -6*w - 71. Let i(o) = 7*o + 72. Give 4*c(u) + 3*i(u).\nAnswer: -3*u - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**8*a)*a*(a\/(a**(-5\/4)\/a))\/a)**(-34))**(1\/18) assuming a is positive.\nAnswer: a**(323\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 3, -2*a - 25*p - 5 = -24*p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o + 509 = -549. Suppose 2*g = 4*w + 60, -3*g - 3*w + 45 = -2*g. Let r = o - g. Solve -r = 4*s - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 41\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18084 and 2577?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**7\/21 - q**6\/3 + 7*q**4\/6 - q**3\/6 - 102*q. Find the third derivative of x(i) wrt i.\nAnswer: -120*i**2 - 240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11516 is divided by 256?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - k - 32, -p + k + 3*k = -11 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -10*g + 3*g. Suppose 0 = -3*l + 3*a - 8*a + 34, -2*l - 4*a + g = 0. Calculate the smallest common multiple of 9 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 8*a**3 - 3*a**2\/2 + 10. Find the second derivative of p(u) wrt u.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.54557 micrograms to tonnes.\nAnswer: 0.00000000005254557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of m**5\/60 - 5*m**4\/24 + 11*m**3\/6 + 43*m**2. Let j be r(3). Solve -2*x + 8 = 3*v, 3*x - 4*v - j = 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 j when four letters picked without replacement from jjjjjjkpjk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1246 and 12.\nAnswer: 7476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 203427, 1, -5, 7.\nAnswer: -5, -3, -1, 1, 7, 203427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5202.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-2)\/9*1\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwbsfswbfsfssfswbws. Give prob of sequence sbwb.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21.9207 - 0.0207. Let d = -21.725 + f. Round d to 2 decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*g**2 + g**2 + 2*g**2)*(7*g - 8*g - 12*g) + 4*g**3 - g**3 - g**3 + (-3*g + 4*g + 0*g)*(2*g**2 - 4*g**2 + 0*g**2))*(75*g - 8*g**2 - 75*g).\nAnswer: -104*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*q + 10*q + 13*q)*(q**3 - q**3 - 2*q**3)*(-9 + 13 + 12).\nAnswer: -448*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3785677 is divided by 135.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**5\/7 - 1216*b**4\/7 + 31016*b**3\/7 - 156064*b**2\/7 - 410020*b\/7 - 221728\/7 = 0. What is b?\nAnswer: -328, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1310 - -131122211?\nAnswer: 131120301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (352*k - 129*k - 179*k)*(-2 + 3 + 0) - 2*k - 3*k + 2*k + (5*k - 2*k - 4*k)*(-2 + 1 + 0).\nAnswer: 42*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 26*d = -2340. Let v = d - 104. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1206732983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -16?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n + 6 - 3 - n + 1729*n**2 - 1725*n**2 to r + b*n + k*n**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 37 = x + 4*x, -7*w = x - 21. Solve m + x = h, -2*m + 3*m = 3*h - 17 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**3\/5 - 132*s**2\/5 + 126*s\/5 + 52 = 0 for s.\nAnswer: -1, 2, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y**5\/4 + 119*y**4\/4 + 2311*y**3\/4 - 78727*y**2\/4 - 578*y + 19652 = 0. What is y?\nAnswer: -68, -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 + -35. Suppose -t = -7*b + 14. Solve -p + 8 = b*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*b = b - 266 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2829 (base 16) to base 4.\nAnswer: 2200221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 35\/(-7)*(-4)\/10. Suppose 0 = 4*p, 2*p - 2 - 6 = -g*i. Suppose -5*q + i*q = -20. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18275 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10021 - 5258. Suppose 6*p - m = 145. What are the prime factors of p?\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 13*b**3 - 2*b**2 + 2*b. Let y(x) = 26*x**3 - 5*x**2 + 5*x. Give -2*y(o) + 5*z(o).\nAnswer: 13*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rgagaarjag. Give prob of sequence ggaj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-2)\/i*i*i**1)\/((i\/i**(-7))\/(i\/i**(-1\/6))))**1 assuming i is positive.\nAnswer: i**(-41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, l: 8, x: 11}. What is prob of sequence yl?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/435 and 36\/451585.\nAnswer: 39287895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u**3\/6 - 7*u**2\/2 + 13*u - 1. Let i(a) be the first derivative of n(a). What is i(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 - 33 - 4*i**2 - 16*i**2 + 17*i**2 - 81 + 2*i in the form y*i + d*i**2 + m and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 16. Solve 5*l = -3*y + 5 + 15, -2*y + s*l - 20 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 8*r**2 + 4*r**2 - 9*r**2. Let s(g) = -6*g**2. What is m(s(x))?\nAnswer: 72*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2 - 92*o - 465. What is h(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 - -49. Suppose i - 34 = w. What are the prime factors of (-786)\/(-10) - 69\/i?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8778713, -17557448, -26336183, -35114918, -43893653, -52672388?\nAnswer: -61451123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6}. What is prob of sequence qq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.069774379 - 0.06977. Round t to 7 dps.\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**3 - 41*b**2 + 26*b - 118. Calculate t(20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5380 = 5*i - 15*i. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**4\/6 + 2*r**2. Let n(i) be the second derivative of -7*i**4\/12 - i - 28. Give n(h(a)).\nAnswer: -112*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 36 in -3\/2, -2\/11, 0.5, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l + 2. Let v be -3 - (-5)\/((-3)\/(-3)). Suppose 2*s - 48 = 3*f + f, 0 = -s + v. Does 8 divide w(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 6773879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*h + 174. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -69, -44, 1, 72, 175, 316, 501?\nAnswer: 736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 9, -3\/14, 1, 0.3?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from ggggwgwgg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -4, -49, -0.3, -2, 1.2 in ascending order.\nAnswer: -49, -4, -2, -0.3, 1.2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3259702, 3259694, 3259682, 3259666, 3259646, 3259622, 3259594?\n\"Answer: -2*n**2 - 2*n + 3259706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b0d + 437d?\nAnswer: 3870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 20*r + 3. Let m be i(-3). Suppose 0 = -u - 2*p - 29, p + 108 = -3*u + 2*p. Let n = u - m. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -5. Let l be 21 - (1 - -3 - 3). Let y(m) = -20 + 70 - l - 3*m - 26. Let g(u) = -9*u + 11. Give a*g(x) - 8*y(x).\nAnswer: -3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -31. What is the units digit of 6\/c + 236\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -6 - 4. Suppose t + g*t + 24 = 0. Let s = 8 + t. Solve 1 = -f - s for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154547489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -6*z, 35 = -5*q - 5*z. Let u(f) = f**2 + 6*f - 2. Let n be u(q). Solve n*m + 1 + 4 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/12)\/(1*(-15)\/18)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p**2 - 779*p - 266. What is the hundreds digit of m(-152)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51104749*q**3*z - 944*q**2 + 23040*q*z wrt q?\nAnswer: 306628494*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*6\/(72\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**5\/2 - 7645*c**4 - 29192415*c**3 + 233929370*c**2 - 760501825*c\/2 + 175521603 = 0.\nAnswer: -7649, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207 = -10*o + o. Which is the second smallest value? (a) o (b) -3\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1216, 4\/5, 4 in decreasing order.\nAnswer: 1216, 4, 4\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + r + 1. Let q(y) = 4*y**2 + 4*y + 2. Give 3*q(t) - 8*s(t).\nAnswer: 4*t**2 + 4*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1539) - sqrt(1539)) + -4.\nAnswer: -18*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 7:27 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*x = 55*x - 681734 + 87998. List the prime factors of x.\nAnswer: 3, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39071394 + 61871404. Suppose -4*p + 22799998 = -5*x, 0*x - d = -4*p - x. Let n be (-6)\/9 - p\/(-3). Round n to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4288566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 11. Suppose 5*k - b = 14. Solve -k*u + 2*u = 12, 12 = p - 3*u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 <= -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1023272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1905, 16021, 54341, 128967, 252001, 435545, 691701?\nAnswer: 1032571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*w**3 - 199*w - 34*w - 17*w**3.\nAnswer: -41*w**3 - 233*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 27 - 15. Let x be (6\/(-21))\/1 - (-172)\/h. Suppose -198 = -6*r - x. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-8) - 0 - (65 - 65). What is the third biggest value in s, -6, -2\/19?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - j + 4. Let u(x) = x**3 - 5*x**2 - 5*x - 6. Let r be u(6). Suppose 4*w = -r*w + 20, -4*y - 25 = -5*w. Does 2 divide q(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 898, -4, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 794, -38, -1 in decreasing order.\nAnswer: 794, -1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((86\/(-8))\/(24\/288))\/(-3). Solve -z*y - 219 = 125 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*k - 16*k - 11*k + 1)*(-2 + 2 + 3).\nAnswer: 18*k + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -99, -108, -121, -138?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20481*m**4*q + 1543*m**2*q**3 - 2954618*m*q + 4*q**3 wrt m.\nAnswer: 245772*m**2*q + 3086*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/33, -0.018, -6\/11, 1716?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2052)*1 + sqrt(57) - (sqrt(57) - sqrt(2052)*-1))\/(sqrt(21)\/(sqrt(63)\/sqrt(9))*2))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**3\/3 + 4906*q**2 - 88156*q\/3 - 196080 = 0. What is q?\nAnswer: -4, 10, 7353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 11:10 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5079*j**3*o - j**2 + 895*o - 31 wrt j?\nAnswer: 15237*j**2*o - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 5. Let v be s(5). Let f be 4 - (2 - v - 2). Let j(o) = 5. Let c(a) = -a - 1. Let l(z) = -5*c(z) - j(z). Let d(b) = -b. Give f*d(x) + l(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*o - 31*o. What is the lowest common multiple of 15 and o + 11 + -36 + 36?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1613135860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - b - 26 + 2 = 0, 3*c + b = 80. Suppose -10*q + 13*q - 231 = 0. What is the remainder when q is divided by c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -2)\/((-5)\/235). Let w = t - -59. What is the third derivative of 10*c**2 - w*c**3 - 29*c**2 + 7*c**3 wrt c?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kh when two letters picked without replacement from kqkaha?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67749, -135713, -203677, -271641, -339605, -407569?\nAnswer: -475533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -29 + (24 - 41) + 4\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5719 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 390044 + -272533. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + -11)*(-2)\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 24*n**2 + 170*n - 8. What is the thousands digit of b(24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 (base 12) in base 7?\nAnswer: 2416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(6292) + 2*(sqrt(6292) + 1 - sqrt(6292)))**2*5.\nAnswer: 440*sqrt(13) + 31477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.285 at most as big as 30.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 2 - 9\/3. Let u(t) = t**3 - t**2 + 7. What is the units digit of u(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 2*i + 2*i**3 + 1\/4*i**4 + 8 + 7\/2*i**2. Give t(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1939635.4 to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6 + 204.4. Let x = z - 205. Is -16 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express -36 + n**2 - 35 - 19 as s*n + b + l*n**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 greater than 1\/38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 505 (b) -1557 (c) 3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 5:24 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*f - 13 - 43 = 0, y - 2*f = 14. Suppose -y*j = -8*j - 48. Solve 2*b = -z - j, z + 2 - 15 = 5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 231996168?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 290831160 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 49 - (-13 + 6 + (16 - 3) + 0 + 3)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**4 - 3*b - 3. Let z(q) = -q**2 - 2 - 5 + 2 - 5*q - 3*q**4. Let r(f) = -5*v(f) + 3*z(f). What is the third derivative of r(a) wrt a?\nAnswer: -96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r + 2. Let m be 0 + 748\/28 + 4\/14. Let g(y) = -37*y - 28*y + 97*y + 3 - m*y. Determine -5*g(u) + 8*s(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 996 = 992 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87 + -34. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0.2, 0.834.\nAnswer: 0.2, 1\/4, 0.834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/6*2*12\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202302 + -3022023?\nAnswer: -2213121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2\/25, 0.1, -14\/9, 0.5, 1297 in ascending order.\nAnswer: -14\/9, 2\/25, 0.1, 0.5, 5, 1297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -178114280\/7 and -25444896 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1031 divide 9930716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 7*z - 13. Suppose -3*b = -z*b + b. Suppose 3*o - 1144 - 419 = b. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 3*k + 15. Suppose -7 = -n - t, k*n - 3*t + 2 = -3. Solve n*x = 5*x + 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/7))**25 assuming h is positive.\nAnswer: h**(-25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4940078553?\nAnswer: 3, 548897617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 4*w**2 + 6*w - 1. Let k be o(4). Let a = k + -11. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**6 + 26*o**2 + 3*o**6 - 14*o**6 - 10*o**6 wrt o.\nAnswer: -2280*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 4) to base 16\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4640*w**2 - 225*w + 427*w - 202*w in the form p*w + x*w**2 + q and give x.\nAnswer: 4640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 3 + 8)*(-2 + 4 + 0)*(-273 + 36*u**2 + 273).\nAnswer: -576*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 27, 0.04 in descending order.\nAnswer: 27, 0.04, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2876757736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 252 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -492554466 divided by -6.\nAnswer: 82092411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 67976389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -70.6421 to one decimal place.\nAnswer: -70.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000307868 rounded to 7 decimal places?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 4*z - 23, -3*z + 26*r = 21*r - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 904271.4km in millimeters?\nAnswer: 904271400000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 1:04 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -3*p**2\/2 - 3159*p - 3326427\/2 = 0?\nAnswer: -1053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l - 55. Let b(r) = -r**3 - r**2 + 412*r + 12. Let j be b(0). Determine c(j).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-12)*18\/(-2). Let s = 3 - p. Put s, 3, 6 in ascending order.\nAnswer: s, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5)*y)**0\/(y**(-1)\/y*y)**(-20) assuming y is positive.\nAnswer: y**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(13)*1*1.\nAnswer: 1 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 48*u - 127. Give n(-3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -994*w + 476*w + 461*w.\nAnswer: -57*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 0 - (909 - 859 - (1 + 118))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 22.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 6*g**2 - g - 3. Let s be f(-6). Let a be -1 + 0*s\/(-9). Let n be 18\/(-12)*8\/(-30). What is the second smallest value in n, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*f - 60 = -84*f. Let b(q) = q**2 - 17*q + 34. Is 4 a factor of b(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26929.\nAnswer: 7, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10461 = 109*k + 32*k - 4344. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 9*o**2 - 38*o + 193. Let b(p) = 10*p**2 - 38*p + 194. Let d(s) = 6*b(s) - 7*m(s). Find the first derivative of d(a) wrt a.\nAnswer: -6*a + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*k + 6. Let j(x) = 6*x**2 - 6*x. Let l(b) = -b**2 + b. What is k*j(q) + 14*l(q)?\nAnswer: -2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5694, 5558, 5424, 5292, 5162, 5034?\n\"Answer: s**2 - 139*s + 5832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 16*d - 59. Let q be j(19). Which is the second smallest value? (a) 18 (b) 2\/27 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 4779?\nAnswer: 4782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1955142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*m = 0, -4*m = 5*y - 3*y. Let b = -1 + 6. Let x = b - y. Solve 0 = 4*w + 4*z + 12, 5*w - x*z = -2*z - 31 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 138164171 and 72249?\nAnswer: 414492513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4655 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iji when three letters picked without replacement from {d: 4, j: 2, i: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9338 is divided by 36?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1550 divided by 5.\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + (2 - 1)\/(2\/58). Suppose 4*f + 216 = 4*w, w - 4*f - c = 12. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/26 and 53\/910.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/16*0\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 19*n - 48.\nAnswer: -(n - 16)*(n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254891744.\nAnswer: 2, 17, 468551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 - -114. Suppose 0 = -82*q + b*q - 54. Does q = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/8*(704\/(-11))\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51152877 is divided by 1453?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j - 12. Let p be k(5). Suppose 0*i + 120 = -p*i. Let r = i + 55. What is the remainder when 25 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 2*w - 15 = -0*c, -3*c + 3*w + 6*w - 60 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -650.9156 rounded to the nearest ten?\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 3*n**5\/20 - 3*n**4\/4 - n**3\/4 + 3*n**2\/2 + 125. Factor o(d).\nAnswer: 3*d*(d - 4)*(d - 1)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 96*b*i*n**3*u**2 + 2*b*i*n**3 - 3*b*i*n**2*u - 9*b*i*n**2 + 2*b*n**3*u - b*n**2*u**2 + 2*i*n**3*u wrt u?\nAnswer: 192*b*i*n**3 - 2*b*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -6*q**2. Let b(m) = m + 1. Let l(j) be the third derivative of j**4\/12 + 2*j**3\/3 - 7*j**2. Let w(o) = 4*b(o) - l(o). Give w(f(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 13*h**2. Suppose -a = -4*t - 16, 3*t + 13 = 2*a - a. Suppose -8 = a*n - 20. Let m(r) = r**2 + 0*r**2 - n*r**2. Calculate m(s(w)).\nAnswer: -338*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -560, -5, -2\/3, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -113.83432461 and -1.1.\nAnswer: -114.93432461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 8*g + 3 = 0. Let r be (-22)\/4*(g - 3). Let z(m) = -2*m**3 - 7*m**2 - 6*m + 6. Let w(n) = 4*n**3 + 13*n**2 + 11*n - 11. Give r*z(j) + 6*w(j).\nAnswer: 2*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2.243 (b) 8 (c) 3682\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i - 23*i - 16*i.\nAnswer: -30*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a**2 + 12*a - 4. Let p(x) = x**2 - 2*x. Let d(s) = c(s) + 6*p(s). Let g(n) = -1. Determine -d(l) + 6*g(l).\nAnswer: -l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55146 is divided by 116.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4980887, -4980888, -4980889, -4980890, -4980891?\nAnswer: -4980892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6722, 13422, 20122, 26822, 33522?\nAnswer: 40222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -3*z**4 - 5*z**2\/2 - 24. Find the second derivative of s(r) wrt r.\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**2 + 6*q**2 + 0*q**2. Let x(r) be the third derivative of 0*r + 0*r**3 - 2*r**2 + 1\/12*r**4 + 9. Determine x(l(g)).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23006873*c**6 + 2*c**2 - 5863*c - 100?\nAnswer: 2760824760*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 2:04 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 49*i**2 + 207*i - 2623. Give u(52).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/6)\/1*(-30)\/(-9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22985200 divided by 700.\nAnswer: 32836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -87238796 divided by -12191?\nAnswer: 7156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t - 356 + 386 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51 - -58 - (-11 - -6)) + -45.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -88*y - 3. Let j be m(-2). Let l = -114 + j. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 12 = 0, 5*a = 19*z - 17*z + 24 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((6405\/378)\/61)\/(5*1 + 0)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.138442582 - -83.1.\nAnswer: 83.238442582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**2 - 9 + 9.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -2*k**3\/3 + 2*k**2 - 4*k + 1. Let z = -51 - -57. Let a be -15*(-2)\/z - 1. Let r(x) = x**2 - x + 1. Calculate a*r(b) + f(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 29 - (-3 + 6 + 0). Suppose -3*f + 35 = -2*h - 41, -2*f + 60 = h. Which is smaller: f or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18208 = -33*j + 51670. List the prime factors of j.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 m when three letters picked without replacement from eeejumjueee.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -9*(1 + -2) + 1. Let i be 54\/z + (-4)\/10. Let h = -1071 - -1070.8. Which is the biggest value? (a) h (b) i (c) -0.4 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + l - 4*l)*(-4*l + 3*l + 3*l) + (2*l + 0*l + l)*(-4*l + 3*l - 4*l) - l + l + l**2.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 92028 divided by 46014?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -11*h**2 - 2*h - 7. Let n be x(-5). Suppose 2*z = -5*y - 2205 + 856, -4*y = -4*z + 1124. Are n and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-42)*3\/9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/1)\/((-6)\/33). Suppose 5*b - z + 377 = -5*q, -4*b - 5*q = 289. Let k = b + 101. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4626*w**2 - 36*w + 51*w - 4682*w**2)*(-1 + 3 - 1) - 3*w**2 + 3*w**2 + 3*w**2.\nAnswer: -53*w**2 + 15*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 48390.8 - -0.24?\nAnswer: 48391.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3292087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1001 divided by -1146.\nAnswer: -1001\/1146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3293 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**7\/21 + o**4\/12 + o. What is the third derivative of v(r) wrt r?\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 21*a + 94. Let m be w(-6). Suppose h - 4*h + 12 = 0. Suppose v + m*q = -12, h*v + 3*q + 17 = -31. Which is smaller: -11 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 + -8 - -12 - (1 + (-4 + -4 - -10))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 21554370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7300 + 7311. Sort g, 1\/3, -2.9, -1\/4 in ascending order.\nAnswer: -2.9, -1\/4, 1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 6*h**2 - h + 7. Let b be l(-6). Suppose -11*d - 4380 = -b*d. Let f = d + -1559. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 3\/20*u**5 + 3*u - 1\/2*u**3 - u**2 + 19 + 1\/12*u**4 + 1\/30*u**6. Factor z(k).\nAnswer: (k - 1)*(k + 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-23)\/(-2) + 6*(-4)\/(-16). Suppose g*v + 5*v = 108. Suppose 3*n - 5 = 7. Calculate the greatest common divisor of n and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*n**4 + 24*n**3*q - 5*n**2*q + 1346*q + 62 with respect to n.\nAnswer: -28*n**3 + 72*n**2*q - 10*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445100 is divided by 222507.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -886*c + 68167 - 22721 - 22713 - 22725 as v*c + z and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -96*l**2 - 1745*l - 299. Give w(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -108.844 times 31\nAnswer: -3374.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -43 and 133992.\nAnswer: -5761656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d - 60. Let i be m(12). Solve u + 2 - 7 = i for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8714 + 8714.025112. What is w rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((2 - 3)\/(3 + 285)). Let k = y - 202. List the prime factors of (15\/5 - 7)*k\/(-4).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 425, 424, 423, 422, 421, 420?\n\"Answer: -u + 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, 654, 2017, 4070, 6813, 10246?\nAnswer: 14369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 6:22 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*f - 11*f + 4*f)*(-5*f**2 - 77*f + 3*f**2 + 90*f) to the form x*f + y*f**3 + p + o*f**2 and give o.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 2*b**2 - 4531. Let o(x) = 984*x**2 - 2*x. What is d(o(i))?\nAnswer: 3936*i**2 - 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -25*j**2 + 23573*j - 393525. Determine d(17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*h - 91*h - 83*h + 30*h**3.\nAnswer: 30*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32951966.\nAnswer: 2, 19, 103, 8419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -7*x - 17. Let z be k(7). Calculate the common denominator of (z\/(-15))\/((-120)\/(-125)) and 95\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 66 (b) 0.1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 489865306.\nAnswer: 2, 7, 499, 70121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0*m - 21 = 0. Suppose 0 = -2*k - 3 - m. Let p(i) = -25 - i**3 - 6*i**2 - 6*i + 56 - 32 + 4. Give p(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 15. Let l = u + 8. Let p(v) = 3*v**3 + 4*v**2 - 3*v + 7. Let h(c) = -4*c**3 - 4*c**2 + 4*c - 8. Let k(d) = 4*h(d) + 5*p(d). What is k(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-114)\/22 - (-1 - 27\/(-33)). Let n(s) = -s**3 - 11*s**2 + 12*s. Let y be n(-12). Put -8, z, y in descending order.\nAnswer: y, z, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + 0. Let z(u) = u**3 - 5*u**2 - 4*u - 3. Calculate the remainder when 4\/(-10) + 174\/10 is divided by z(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -127, -6\/7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -33, 2, -4, -2233, 0.\nAnswer: -2233, -33, -4, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 1:47 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 5:26 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 1. Let o = -27332 - -27334. Give f(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 1 - 19 - 71*c.\nAnswer: -71*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1cfc4 (base 16) in base 6?\nAnswer: 2313352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135018.\nAnswer: 2, 3, 13, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -146763 + 146765. Solve 18\/11*x**c + 4\/11 - 14\/11*x + 2\/11*x**4 - 10\/11*x**3 = 0 for x.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.5, 4, -30?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39046803 and 222?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105908 is divided by 17367.\nAnswer: 1706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 76116711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.07546221 rounded to four dps?\nAnswer: 1.0755","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 29460\/540 + -22 + (-1)\/(18\/(-8))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22880 and 121264.\nAnswer: 1212640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - sqrt(192)*1)*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 - -14. Let r(i) = -8*i**2 - 9*i. Let y(n) = n**2 + n. Let h(g) = f*y(g) - 2*r(g). Let t(l) = -5*l. Give h(t(w)).\nAnswer: -50*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a week in minutes?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + 4 + (-2 + sqrt(98) - sqrt(98) - sqrt(98)) + sqrt(98) + 3 + 0)*1)**2 + -3.\nAnswer: 70*sqrt(2) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, g: 5, y: 3}. What is prob of picking 3 g and 1 y?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13975 - 13863. Calculate the remainder when 331 is divided by y.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11334 + -101?\nAnswer: 11233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 20 = 0, -1 = -3*o + 4*b + 34. Suppose -o*d + z = 12 - 57, -10 = 2*z. Solve -7 = 3*g + 2*n, 4*g - 2*g = 5*n + d for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10479409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(sqrt(7)*-1) + (sqrt(19) - (sqrt(76) - (-2*sqrt(76) - sqrt(76)))\/sqrt(4)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of (-2080449)\/2793*-19 + (-5)\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4313 + 4318. What is the second biggest value in 4, q, -0.8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 5, -3, 5\/1213, 4 in increasing order.\nAnswer: -3, -0.4, 5\/1213, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12798 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1))\/c)\/c**(-2\/15)*(c\/(c\/c**(5\/9)*c))\/(c**(-2)*c) assuming c is positive.\nAnswer: c**(76\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1659 = 14*i - 17*i. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23851395.\nAnswer: 3, 5, 176677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17838\/(-4955))\/((-1)\/(10\/(-4)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 0 - (-4 + (8 - -5) + -15) - -6\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, j: 17}. Give prob of sequence juuj.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5ad (base 14) in base 16?\nAnswer: -46d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41\/(-82))\/(10\/(-4)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + m**2 + 4*m + 3. Let j be f(-3). Let v = 47 + j. Suppose -5*s = -0*s - 45. Solve -4*t = -s*t + 2*w - v, 0 = 5*t - w + 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)\/a*a)**(-9)*(a**0*a)**(19\/2) assuming a is positive.\nAnswer: a**(37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211 - -12?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6261 + -1278. Is v a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 15103228?\nAnswer: 45309684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 388.22 - 385. Let z = 0.22 - n. Which is the second smallest value? (a) z (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**4 - v**4 + v**4 + (-22 - 25*v**4 + 22)*(5 + 3 - 2) as y*v + r*v**4 + o*v**3 + k + p*v**2 and give r.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/2823 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 27737?\nAnswer: 27738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -93210b + 3?\nAnswer: -932108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxfeexxxxxexexxxe. What is prob of picking 1 x and 1 e?\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/13, 3, 1.5, -0.3 in ascending order.\nAnswer: -6\/13, -0.3, 1.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -6*n**2 + 3*n + 10. Let w(m) be the third derivative of m**5\/15 - m**4\/12 - 7*m**3\/6 + 45*m**2. Calculate 5*h(p) + 7*w(p).\nAnswer: -2*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6752 + -6752. Let h(g) be the second derivative of 3\/20*g**5 + 0 + 0*g**2 - 13\/6*g**3 - 14*g + v*g**4. What is the second derivative of h(s) wrt s?\nAnswer: 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x + 4*x + 2*x - 7*x. Let j(c) = c. Let w(f) = -2*f**2 - 2*f. Let h(a) = 2*j(a) + w(a). Determine h(n(d)).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/7 (b) 3 (c) 1\/7 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*f + 492 = 0. List the prime factors of 2*(f\/(-3))\/(-1).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 657 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2590258.\nAnswer: 2, 11, 281, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6.47 (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -501*t**3 - 501*t**3 - 595*t**3 + 1595*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 405380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*k + 360 = 42*k. Suppose -4*s - 25 = -7*s - d, 5*s - k = 2*d. Suppose 4*t - t - s = -q, -26 = -2*q - 3*t. Solve 3*o + o = -q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15.09 and 59.4.\nAnswer: -896.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -46.1, -0.3, 2 in ascending order.\nAnswer: -46.1, -3, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zaozottztstzztzcaco. Give prob of sequence zoa.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/(-2)*8\/(-10). Suppose -18 = -3*f + 4*i + n, -5*f - 4*i = -8. Find the first derivative of f - 2 + 2*u**4 - 3*u**4 wrt u.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30120 and 32.\nAnswer: 120480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 16628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 - 90*l + 160.\nAnswer: 5*(l - 16)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 + 1 + (0 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4868 is divided by 204.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 0.0324\nAnswer: -0.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1307*j - 32576 = 20362 - 20341 + 31446 for j.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*(sqrt(396) + 1 + sqrt(396)))**2*-1.\nAnswer: -1581 - 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 1 = -16. Let s(z) = -z**2 + 8*z + 6. Let x be s(7). Suppose 0 = 2*j - x + y. Solve -6 = -j*i + 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_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 z(s) = -s**3 - 7*s**2 - 36*s - 84. Let m be z(-4). Calculate the greatest common factor of 9486 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -19*k**3 + 5*k**2 + 19*k + 125. Let g(h) = -10*h**3 + 3*h**2 + 10*h + 63. Let p(o) = 5*g(o) - 3*q(o). Differentiate p(d) wrt d.\nAnswer: 21*d**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1539) + 0 + sqrt(1539) + -5)**2 + ((2 + sqrt(2736))**2 + sqrt(2736) - (0 + 1 + sqrt(19))) + -3.\nAnswer: -121*sqrt(19) + 8916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(sqrt(9)*-2) - -3*sqrt(1539))**2 + 4.\nAnswer: 53387\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s - 2. Give g(6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 2. Suppose 3*g - s = 14, 5*k = -g + 10. Let i(f) = -7*f**3 + f**2 + f - 1. What is i(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/5)\/x)**21\/(x*(x*x\/x**(-2\/5))\/x*(x*x**2)\/x*x) assuming x is positive.\nAnswer: x**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2.887 - 0\nAnswer: -2.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11 + 25*x - 8 - 2 + (-3*x + 0*x + 5*x)*(4 - 3 - 5)*(-4 + 3 + 0).\nAnswer: 33*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p - 1. Let t(y) = -y**3 - y + 8*y - 3*y - 3 + 2*y**2. Give -4*r(s) + t(s).\nAnswer: -s**3 + 2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 6:50 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 5*b + 8. Let g be p(-6). Let m(k) = 9*k**2 - k - 4. Let h be m(g). Let t = h - -11. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 513759 = 2*o + 513671, 0 = 3*o + 3*i - 60 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 559 + -564. What is the remainder when 461 is divided by -2*(4\/10 + 167\/h)?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + (-10 - -4) + 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3460618 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 446 divided by 2\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54454 is divided by 140?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.32 and -436289?\nAnswer: 139612.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 2217700?\nAnswer: 2217704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 86 - 1?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 - -0.0597?\nAnswer: 0.2297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1157 - 1154. Solve 2*a + o = 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(7\/3 + -3). Let s = -1 - l. Suppose 3*h = -i - h + 25, -s*i = 4*h - 34. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q + 1. Let s be u(-1). Suppose s*n + 40 = i - n, 5*n + 165 = 4*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10062 and 25259.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 3*y**2 + 4*y + 1. Let t be u(4). Let i = t + 1. Solve -5*f = -2*f - 4*d + 10, -i*d = f - 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*k**3 - 113*k**3 + 37*k**3 + 41*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -1\/12*s**4 + 0*s**2 + 1\/3*s**3 + 3 - 4\/3*s. Factor g(v).\nAnswer: -(v - 2)**2*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 u when three letters picked without replacement from {o: 2, f: 3, u: 15}.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 108500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4845 - -8?\nAnswer: 4851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 1177*j**3 - 4*j + 2749. Let m(c) = 2355*c**3 - 7*c + 5499. Let l(v) = -7*g(v) + 4*m(v). Find the first derivative of l(k) wrt k.\nAnswer: 3543*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-114)\/22 - 4\/(-22))\/(-1). Suppose -2*o = 3*b - 212, -5*o = -4*o + d. What is the remainder when b is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*a = -a + 19, 4*a = -4. Suppose 0 = o + s*u - u - 4787865, 0 = 5*u + 20. Let t = o + -587877. Round t to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16685 (base 9) to base 2\nAnswer: 10110011101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -217 + 218. What is the closest to 2 in 6, s, 2\/17?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95 + 47 - 17*b**2 + 5 + 31*b**2 - 15*b**2.\nAnswer: -b**2 + 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**3 - 2*w**2 - 2. Let v(b) = b**2 + 9*b + 11. Let h be v(-8). Let n(y) = -7*y**3 + 3*y**2 + 4. What is h*n(k) + 5*t(k)?\nAnswer: -k**3 - k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18924144 is divided by 147.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*c - 28. Let i = c - 4. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 45*b - 408. Let c be p(54). What is the greatest common factor of c and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6\/19 + -31\/38. Which is the nearest to -1\/3? (a) -1\/4 (b) 2\/3 (c) 0.5 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 8. Which is the nearest to 0? (a) -1\/5 (b) -1\/4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 7:26 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 9*d**2 - 11*d - 15. Let j be b(-10). Let i = 9 + j. Solve -4*k = m + 9, 0 = 3*m - k + 5 - i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**4\/11 - 9750*g**3\/11 - 360288*g**2 - 558752256*g\/11 - 26533453824\/11 = 0.\nAnswer: -4443, -144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-two fifths of a millimeter?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1455021?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(588) - (-1*sqrt(588) + 5) - (1*sqrt(588) + 4)**2 - ((1 + sqrt(192))*2 + ((1 + sqrt(192) + sqrt(192))*-5)**2).\nAnswer: -19836 - 900*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 970229400 a multiple of 915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 55.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = n - 6. Find the first derivative of n - 2 + 4*k**3 - 2 wrt k.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2619, -3658, -4699, -5742, -6787, -7834?\n\"Answer: -m**2 - 1036*m - 1582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 625 and 10394375?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5*b**3 - 14*b**2 + 1. Let w(m) = -6*m**3 - 15*m**2 + 2. Determine 3*o(q) - 2*w(q).\nAnswer: -3*q**3 - 12*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -665, 342, -241 in descending order.\nAnswer: 342, -241, -665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 71148918 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 165, 637, 1411, 2487, 3865, 5545?\nAnswer: 7527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q = 20*q + 180. Let g = -41 + q. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8095106 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 29678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-34)\/(-8) + (-1)\/4. Suppose -2*m = -3*m + z. Let y(j) = 57*j + 1. Let f be y(0). Solve m*l + f = -3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(143)*-2)\/((sqrt(99) + (sqrt(99) - (-5*(sqrt(99) - (sqrt(99)*4 - sqrt(99)) - sqrt(99)) - sqrt(99))))\/sqrt(9)).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.6 - -15.1. What is the second biggest value in u, 1\/41, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, -0.3, -0.4, -100?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 455? (a) -0.146 (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 - 0.63. Which is the smallest value? (a) -0.1 (b) i (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 10, -2\/7, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 62 + 42. Suppose 0*d + 5*d = -n + 43, 0 = 2*d - 4*n - t. Is 10 at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 405275 and 0.004.\nAnswer: 1621.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18 - 0)*6\/112. Let v = 5\/7 + w. Sort 0.5, v, 2 in decreasing order.\nAnswer: 2, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -210?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112031001 + 11021?\nAnswer: -112013320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 30 = 5*y. Suppose -2*h - y = -5*h. Suppose h*q = a - 40, -q - 55 = -5*a + 217. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 10:15 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2255784 or 2255785?\nAnswer: 2255784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 361089342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3383 - -0.0383. Let d = -0.3 + 1.3. Which is the nearest to 0.1? (a) -4 (b) d (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) -8 (b) -35 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6940015 rounded to the nearest ten thousand?\nAnswer: -6940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**4 - 398650*p**3 + 143759760*p**2 + 398650*p - 143759755 = 0 for p.\nAnswer: -80089, -1, 1, 359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -549*f + 547*f = -5*r - 39, -4*f = -2*r - 38 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 2*y + 8*y. Suppose y*z + 3 = z. Suppose z*q - 2*l + 80 - 561 = 0, -2*l - 320 = -2*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 6:40 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5*s + 20252990 = -3*s, 3*k = -4*s + 20252980. Round k to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 11*v**2 + 14*v**2 + 0.\nAnswer: 25*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14210?\nAnswer: 2, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35\/6 - 1021\/174. Let p = 1113.5 - 1114. Which is the fourth biggest value? (a) -3\/4 (b) 3 (c) p (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**4\/12 + r - 416. Let w(b) = 2*b**2 + 87. What is p(w(o))?\nAnswer: -4*o**4 - 348*o**2 - 7569","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 9 = -p, -p = -5*p - 3*z + 9. Let v(a) = a + 20. Let f be v(p). Suppose -3*u - f = -65. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - t. Let u(h) be the first derivative of 13*h**3\/3 - 3*h**2\/2 + 19322. Suppose -2*i + 1 = 9. Give i*w(c) + u(c).\nAnswer: 9*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 100319 + 5?\nAnswer: 100324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 107247.\nAnswer: -107245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/15 - 165248*m\/15 + 3413362688\/15.\nAnswer: 2*(m - 41312)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - (12 - -7) - (-2 + -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -4*m - 5*n + 45, 0 = 3*m + 5*n - 30 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 488615 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-12) + (-22)\/(-4). Let l(s) be the first derivative of -s**3\/3 + 7*s**2\/2 - 2*s + 1. What is the units digit of l(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 2 + 12. Let j be 1*(-3)\/f*42\/(-21). Suppose -j*p + 984 = p + h, -2*p + 498 = -h. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**6\/30 + q**4\/4 - 4*q + 2. Let b(t) be the first derivative of w(t). What is the third derivative of b(c) wrt c?\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 2. Let m(n) = -4*n - 2*n**h + 4*n. Let f(u) be the second derivative of u**3\/3 - u. Calculate f(m(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3245 and -1.\nAnswer: -1.3245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -48*g - 11. Let p(n) = -n - 1. Let y(b) = 6*p(b) - u(b). Let t(f) = 2*f + 6. Let o be t(-2). Is y(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (10 + (-15 - -14))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -7\/92 and 5\/151 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 6*n**2 + 213*n - 1011. Calculate y(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 29. Suppose -8*g = -b - 8. Suppose 0 = 2*q - 5*i + 16, -5*q = i + 4*i + 5. Is g < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168608 and 24992?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/(-99)*(-9)\/(27\/2)*-36.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u*u**(2\/13)*u)\/u)*u**(3\/2)*u*u*u)**(-24)*((u**(-1)\/u*u)**(-8))**29 assuming u is positive.\nAnswer: u**(1972\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*u**5 - 3\/2*u**4 + 0 - 3\/2*u**3 + 0*u + 3\/2*u**2.\nAnswer: 3*u**2*(u - 1)**2*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.091 + 3.909. What is the closest to 0.1 in 7, k, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 78*j**3 + 8*j**2 - 22*j + 20. Let r(u) = -10*u**3 - u**2 - 1. Give -a(d) - 8*r(d).\nAnswer: 2*d**3 + 22*d - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*w + h, 0 = -31*w + 32*w + h - 2*h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b6451a + -6?\nAnswer: -1b64522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 1. Suppose -8*l - 10 - 6 = 0. Let f be y(l). Differentiate -f*i**4 + 4 - 2*i**4 - i**4 - 1 with respect to i.\nAnswer: -32*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/210*(-738)\/(-54) and 113\/210.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 2)*(-133*l - 634*l + 119*l - 98*l - 394*l) as p + u*l and give u.\nAnswer: -2280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 55*m**2 + 7*m - 152. Is v(-45) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 12*m - 9*m - 2536, 0 = -2*k + m - 2532. Let x = k + 1811. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11639 is divided by 831?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21398?\nAnswer: 2, 13, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 187 in descending order.\nAnswer: 187, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13046895*c**2*z**3 - 579*c*z**2 + 2*c*z + 180*z**3 - 2 wrt c?\nAnswer: -26093790*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, 969, -4 in descending order.\nAnswer: 969, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -263572 by 65893.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**4 - 5630*m**3 + 23654543*m**2 + 88894231920*m - 249304647099456 = 0. Calculate m.\nAnswer: -5623, 2808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 0.1. Let u = r + 0.7. Let s = -17389\/68916 - -40\/17229. What is the closest to 19 in -4, s, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 31. Let f be c(0). Let b = -15 - f. Suppose 5*l + b = 4*l - 4*w, -2*w = 10. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 30*g + 2. Let o(v) = 210*v + 15. What is 2*o(k) - 15*r(k)?\nAnswer: -30*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 23.3 * -3225\nAnswer: -75142.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1*1)\/(18\/3). Let t = -1911 + 1906. Put g, 1\/5, t, -3 in ascending order.\nAnswer: t, -3, g, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 11) to base 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6522 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 156 = 4. Suppose 0 = 5*o + p - 62, 6*o - 3*o = 2*p + h. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -78. Let u be (-6)\/(-9) + p\/(-45). Put u, 0.5, 0 in ascending order.\nAnswer: u, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*d - 3*d + 2*d + (3 + 7 - 8)*(-263*d - 255 + 255) to c*d + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -10*f - 70. Let u be n(-7). Let p(a) = a**2 - 19*a - 18. Let w be (-1)\/((-9)\/6)*30. Let t be p(w). Solve 0 = k - u*x - x + 2, -3*x + t = k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 + -86. Let w be y\/(-5) - 52\/65. Suppose 2*j = w*j - 36. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43781, 43779, 43777, 43775, 43773?\nAnswer: 43771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -19378, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**2\/5 - 98008*s\/5 + 600348004\/5 = 0. What is s?\nAnswer: 12251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(65\/(-60) - 1\/4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 2*a. Suppose 5*c + 14 = 4. Let f = 6 + c. Solve a*g + 2*g - f = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (16 + (0 - 6) + 0)) + 1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 4. Let v be l(-5). List the prime factors of v\/((4\/(-2))\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67 - 67. Suppose c - 2 = -z*c. Suppose c*b - 87 = 7. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394274.\nAnswer: 2, 197137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 9:53 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2. Let m(r) = -3*r**2 - 4. Let f(o) = -o**2 + 1. Let j(y) = -4*f(y) - m(y). What is j(c(a))?\nAnswer: 28*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 m, and 1 o when four letters picked without replacement from {m: 4, n: 7, o: 3}.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1018, 1003, 980, 955, 934, 923, 928, 955?\n\"Answer: o**3 - 10*o**2 + 8*o + 1019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 13. Let q(p) = 3. Give -9*q(o) + 2*w(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 24*b**2 + 13*b - 306. Let h be m(-25). Let q(l) = 2*l**2 - 5*l + 4 + 2*l**2 - 5*l**2. What is q(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b - 3. Suppose 3*v - v = 22. Let z(o) = 20*o - 10 + o + 30 - 4. Let q = -3 + 5. What is q*z(y) + v*n(y)?\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 2853 = -2813 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-11)\/y**(-8))\/(y*y**(-9)*y*y\/y**(-8)) assuming y is positive.\nAnswer: y**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44657687.\nAnswer: 44657687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/2 - 1\/2. Suppose 5*k = 2*w - 7, -3*w - 2*k - 4 = -5*w. Solve -d = -r*d - w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u - 33 + 13 = 75. Let s(x) = -3*x**2 - 2*x - 1. Let h(o) = o**2 - o. Calculate u*h(q) + s(q).\nAnswer: 2*q**2 - 7*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - k = -14, 2*k + 47025 = -j + 47038 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 11:59 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2. Let v(x) be the second derivative of 0*x**2 - 100\/3*x**3 + 1 + 5*x. Determine m(v(l)).\nAnswer: -80000*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 2*r**2 - 1754*r - 32659. Calculate s(-16).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*w = -l - 2, w + 2 = 0. Suppose -10 = -l*a + 8*a. What is the units digit of ((-50)\/6)\/a*9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + o - 2*p - 143, 0 = o + 5*p - 143. Suppose f = 2*f - o. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -1709561?\nAnswer: 1\/1709561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ufpxlusxuxulsssxuxuu. Give prob of picking 1 x, 1 l, and 1 p.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*h**2 - 572 - 272\/5*h.\nAnswer: -4*(h + 13)*(h + 55)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614525 is divided by 20462.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 - -26. Let m(l) = l**2 + 2*l + 1. Let i be m(w). Put -2, -4, 6, i in ascending order.\nAnswer: -4, -2, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-1)*(-20)\/(-8)*24. What is the highest common divisor of 20 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14069, -14076, -14093, -14126, -14181, -14264?\n\"Answer: -a**3 + a**2 - 3*a - 14066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.4815 rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1466 + 1466 - 3*s + 12*s - 7*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -2 + 439 + -449.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 43 + 37 = 0. Find the common denominator of (-462)\/(-9)*m\/(48\/18) and 35\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*i + 22 = 22*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/4)\/m**(-4)*(m\/((m\/(m*m**(1\/3)*m))\/m))\/(m*(m**6\/m)\/m*m*m) assuming m is positive.\nAnswer: m**(1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15486052 and 0.1?\nAnswer: 1548605.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**5 + 329083*i**4 - 93326922*i?\nAnswer: -40*i**3 + 3948996*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p**3 - 6*p**2 - 3*p + 11. Does 17 divide r(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 1102200?\nAnswer: -1102212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-8\/3))**(25\/2)*(a**(-10)*a)**32)**(1\/4) assuming a is positive.\nAnswer: a**(-241\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**5 + 5*k**5 + 3*k**5)*(-9 - 9 + 22) + (3*k**4 - 5*k**4 + 3*k**4)*(-1 + 2*k + 1).\nAnswer: 30*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11, -26, -103, -232, -425?\n\"Answer: -2*p**3 - 8*p**2 + p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 285538 a multiple of 440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12102122100 (base 3) to base 8\nAnswer: -320626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0887 + -0.1113. Put -0.5, -183, y in ascending order.\nAnswer: -183, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*i - 94 = 0, i - 5 = -3. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 1:26 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*a + 146 = a, 146 = 2*d + 2*a. Suppose -5*c + 262 + d = 0. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 7) to base 3.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (6 - 2)) + -3 - (-12 + 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iia when three letters picked without replacement from {x: 2, a: 4, i: 2, v: 1, b: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 3*j + 483 - 458, -5*j + 5*n = 35 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 5:47 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*c + 4. Find the third derivative of 3*b**c + 9*b**3 - 9*b**3 + b**2 wrt b.\nAnswer: 360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 41*l + 1. Is g(1) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-36)\/(-8)*-10)\/((-9)\/6). Let h = -26 + y. Solve -h*o = -2*o + 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*k = -100 - 16, 2*g - k - 207 = 0. Suppose -111*s + 50 = -g*s. Solve 5*y + 10 = -b, -12 = -s*y + 2*y + 3*b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + o + 2 = -1, -5*a - 2*o + 8 = 0. Let f = -15 + 31. Let h be (-4)\/f - 75\/(-12). Solve -a*k - k - h = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 50.2127.\nAnswer: 50.7127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1584 and 7436?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0. Let a = 6.3 - 41.2. Let p = a + 35. Put p, -1\/2, k in decreasing order.\nAnswer: p, k, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11341?\nAnswer: 11, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3268 and 341?\nAnswer: 1114388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 68.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -342, -343, -344, -345, -346, -347?\n\"Answer: -m - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**3 + 5*b**3 + 0*b**3)*(-2*b**2 + b - b) + 230156*b - 2*b**5 + 6*b**5 - 6*b**5 - 217777*b.\nAnswer: -4*b**5 + 12379*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 204*n**2 + 114918 + 85833 + n**3 - 56658 + 13872*n + 170339 = 0.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbblouu. What is prob of picking 2 b and 1 l?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 92.213371 to the nearest integer.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(36)*-1)\/(sqrt(48)\/sqrt(4)*6).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c**2 - 32*c - 8. Let z be o(10). Let j = z - 170. Solve 0 = b - j - 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 22)*(2*g - g - 2*g).\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4220, -11253, -18286, -25319?\nAnswer: -32352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 75*g**2 - g - 66. Let n be j(-75). Let w = -38 + 159. Let f(q) = -122*q + 6 + w*q + 7. Calculate f(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 1:57 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*t**2\/5 - 3690664*t\/5 - 820148\/5.\nAnswer: (t - 410074)*(9*t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/2 in 2\/19, 3, 0.1, 1, 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6055 times -0.12?\nAnswer: 0.07266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -10578, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 2:17 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.948298 - 14.474.\nAnswer: -31.422298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 253 and 110?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28\/95 - -2\/19. Which is the smallest value? (a) 3\/4 (b) v (c) 7\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1115 and 25379184.\nAnswer: 126895920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-198929250)\/(-9)*(-6 - (40\/(-15) - 2)). Round m to the nearest one hundred thousand.\nAnswer: -29500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*r**2 - 16*r**2 + 15*r**2 + (-2*r - 3*r + 6*r)*(2*r - 4 + 4))*(r**2 + 0*r**2 + 2*r**2) to the form d*r**2 + q*r**3 + x + f*r + s*r**4 and give s.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*x + 26. Find the common denominator of (-3 + (-682)\/(-230))\/((-5)\/(-75)) and ((-2)\/(-40))\/(x\/1940).\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -757\/7 - -108. Let o be (11\/(-55) - 12\/40)\/(6\/4). Let f = 3.9 + 1.1. What is the nearest to 0 in p, o, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15063904 to the nearest integer?\nAnswer: 3881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147, 293, 461, 663, 911, 1217?\nAnswer: 1593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1053 = 771*j - 1263*j - 23193 for j.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 11, -21, -91, -211, -393?\nAnswer: -649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 6*p + 60. Let b be a(-11). Let d = -784 + 788.11. Let m = d + -0.11. What is the second biggest value in -0.3, b, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4*(sqrt(243) + 0).\nAnswer: -36*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -45552, -179941, -403922, -717495, -1120660?\n\"Answer: -44796*x**2 - x - 755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 64?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 29 = 7*j. Suppose 3*b + 42 = 2*i - b, j*b + 80 = 5*i. Let q(o) = o + 32. What is the tens digit of q(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 795 and 10929585.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -z + 4, 6 + 0 = 2*z + 4*v. Solve 0 = -2*p + z*l - 1, -7 = -4*p - l - 20 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/3, -2, -196?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/16 + (-30)\/(-6). Is b <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (40\/(-12))\/(3\/(-9)). Solve 3*n = 1 - w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssstswsssssssss. What is prob of sequence twss?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = g - 2. Let h = 0 + g. Solve 0 = 4*k + 2*t - h, k - 5*t + 1 + 9 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.19391675+715.24\nAnswer: 715.04608325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (-1 - -4) - (95 + -70 - 55).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 300.7172ng?\nAnswer: 0.0003007172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 6 = -2*s, -s - h = -2*s + 3. Let j = 1 + -2. Let n be (j\/(-34))\/((-1)\/4). What is the third biggest value in s, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((5 - 6) + -6 - -22) + -66 + 65\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 4862*a. Let f(k) = -k. Give s(f(r)).\nAnswer: r**2 + 4862*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5710849607.\nAnswer: 23, 248297809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -517038400*t**3 + 546387810*t**2.\nAnswer: -3102230400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - (-1 + (19 - 27 - (-7 - -3)))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2175 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 389381, 1557002, 3503039, 6227498, 9730385, 14011706?\n\"Answer: m**3 + 389202*m**2 + 8*m + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12.7, -2\/105, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 4*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 1:07 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 383609839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + p = y + 5, 2*y = 2*p + 10. Let j(s) = -s**3 - 4*s**2 - 1. Let t be j(-4). Sort -4, y, t in decreasing order.\nAnswer: y, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/2 + 56\/29. Let d = 31\/38 - 6\/19. Sort d, x, 1 in descending order.\nAnswer: 1, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -4030834.\nAnswer: 5\/4030834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -163554481, -163554485, -163554491, -163554499, -163554509, -163554521, -163554535?\nAnswer: -163554551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15223, -15487, -15749, -16009, -16267, -16523?\nAnswer: -16777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/3 + 628054*b\/3.\nAnswer: 2*b*(b + 314027)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -270*a - 3489. What is the ten thousands digit of k(-74)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -682 + 676. Let x(g) = -g**3 - 5*g**2 + 4*g - 5. Give x(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-48)\/(-30))*24\/(-20)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 80?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 578 - 566. Let y be (-17179)\/9102 + 10\/k - -1. Are -1\/7 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55320178?\nAnswer: 2, 4783, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9609 is divided by 1344.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 635, 658, 703, 776, 883, 1030?\nAnswer: 1223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 29502, 0.1 in increasing order.\nAnswer: -0.3, 0.1, 29502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/162 and 67\/1197747.\nAnswer: 2395494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -103 + 0?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-15))\/(30\/(-225))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135992\/(-445) - -305 - (-528)\/5?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -30 (b) -0.1 (c) -1105 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 28*45\/(-144) + 8?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 71 - 31 = 18*f - 31, -5*f = 5*h - 15 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 2*r + 1 - 184 = -10*m, 36*m = -2*r + 1252 for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, 0, -5 in decreasing order.\nAnswer: 0, -5, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.87 and -38.\nAnswer: -71.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58743 = 17*d - 19389. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/18282 and -25\/818862.\nAnswer: 226824774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8915, -17837, -26759, -35681, -44603, -53525?\n\"Answer: -8922*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/3)\/((-1)\/(-3)). Let v(w) = 2*w - 3 - 7 + 4. What is the units digit of v(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*s**3 - 27*s**3 + 40*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**3 - 9*x**2 + 27*x - 15 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -226 + 241. Solve -9*q + 14*q = -y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r*((r*r\/((r\/((r**(1\/6)\/r)\/r*r))\/r*r)*r)\/r)\/r))\/r*r\/(r\/(r\/((r\/(r*(r*r**(-2\/3))\/r*r))\/r*r))))**(-3\/13) assuming r is positive.\nAnswer: r**(-1\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 7) to base 9.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 0) + (-18)\/(-9). Solve -g*h + 5*h = 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r**2 + 6*r**2 + 0*r**2 + 4 - 4 - r**2 + (3*r - 3*r - 3*r)*(18*r + 6*r - 11*r) - 3 + 3 + r**2 as b*r**2 + t + d*r and give b.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402*n - 105139 = 714*n + 509*n + 612*n for n.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-2) - (-11)\/(-10). Let v = 509\/6 - 847\/10. Find t, given that 0 + v*t**4 - 8\/15*t + n*t**3 + 0*t**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/((-882)\/(-56))*-6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 167051\/194852 - 5\/27836. Let y(f) = -f + 6. Let h be y(5). Which is the biggest value? (a) 0.4 (b) -2 (c) v (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = a - 3*w, a = 2*a + 5*w - 3. Suppose 5 = 2*o - 1. Calculate the remainder when a is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) -2\/47 (c) -58 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 4 (b) 5 (c) -6 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -772247 and -89595048.\nAnswer: -90367295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2. Let z(c) be the third derivative of -c**5\/30 + c**3\/3 + 3*c**2. Let g(b) be the first derivative of z(b). Calculate u(g(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**4\/2 + 5*t**3\/2 + 8273*t**2\/2 - 8277*t\/2 = 0.\nAnswer: -89, 0, 1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 41*o - 76*o - 42 = -32*o - 4, 61*o + 138 = 2*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -55 at most as big as -1.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**8*k)*k*k*k**25*k**(-3\/16)*k*k*k*k\/(k\/(k**(3\/7)*k)*k)*k)**(-6\/5) assuming k is positive.\nAnswer: k**(-7473\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*sqrt(9)\/(sqrt(243)*1).\nAnswer: 5*sqrt(3)\/9 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1008) + 1)**2 + 1.\nAnswer: -48*sqrt(7) + 1013","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2\/(-1))\/(30*(-52)\/(-66)) and (572\/8 + -1)\/(-3)?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (2 - ((-3 - -4) + 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42180 and 33060?\nAnswer: 1223220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11226 and 6864?\nAnswer: 12842544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -9929188 at least as big as -9929175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 1. Let l(t) = t + 12. What is -g(h) + l(h)?\nAnswer: 2*h + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + -5.1. Let m be (-3)\/4 + ((-16)\/8)\/(-2). What is the third smallest value in -3, m, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -7. Suppose -7*m + 17 = -o - 2*m, -m + 17 = -o. Let j = i - o. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 6:38 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -24097*v**3 + 3*v**2 + 14*v - 20. Let q be s(5). What is q rounded to the nearest one hundred thousand?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 21.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 18 = 11*d, 2*d + 572 - 563 = -5*y for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (116 - -4) + 1. Suppose -37 = -3*c + d. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -745\/4, -1386?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -1. Let m be 1 - 1 - (n - -2). Let b(v) = v**3 - 4*v**2 - 5*v + 5. Let k be b(m). Solve -k*l + 4*l = -1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 3 - -1 - (15 - 10) - -20.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18096 + 18099. What is the nearest to -4 in 2\/21, -0.7, w?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + -4*((sqrt(304) - (sqrt(304) + -1))**2 - sqrt(304)) + sqrt(304) + 4*(0 + sqrt(304))).\nAnswer: -144*sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*h*t**3 - h*t + 403180*h - 8040929*t**3 - 93*t - 3 wrt t?\nAnswer: 66*h*t - 48245574*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 754 and 116.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -5*n - 0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/2 + 81*u - 1599\/2.\nAnswer: -3*(u - 41)*(u - 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*s - 2*s - 3*s)*(10663*s + 1063*s**3 - 10663*s) to i*s**3 + r*s**4 + z*s + d*s**2 + o and give r.\nAnswer: -10630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*u - 20*u - 15*u - 7*u + 59*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 564, 0.45, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 83706718 and 938.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 79*o - 8 - 78*o)*(65402*o - 65400*o + 9 - 8 - 167*o**2) in the form r*o**2 + q*o + n*o**3 + j and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3384939.\nAnswer: 3, 1128313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2) - -27*(-7)\/126?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -335*s**3 + 17*s**2 + 41*s - 298. Let a(l) = 42*l**3 - 2*l**2 - 5*l + 37. Give -17*a(c) - 2*q(c).\nAnswer: -44*c**3 + 3*c - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -164 + 411. List the prime factors of q.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 61*y**4 - 58*y**4 + 6*y + 2*y**3 - 3*y + 0*y**3 - 5*y**2 as l*y**2 + q*y**4 + h*y + k + m*y**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6371204ml?\nAnswer: 0.0006371204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6*6\/4 - 0) + 910\/(-110)\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 0. Suppose -4*t - 6*i + 2*i + 20 = 0, -5*t + 4*i = n. Suppose t*z + 2*w = 0, 3*z = 2*w + w + 24. Calculate the remainder when z is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1628)\/154)\/(2\/(-14)). Let j = -72 + m. Suppose j*x = -2*n + 266, 4*n = -3*x - n + 399. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g*m*w - g*w**4 + 260*g + 2*m*w**2 - 45*m*w + m wrt w.\nAnswer: -g*m - 4*g*w**3 + 4*m*w - 45*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18895339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 33*k**2 + k - 1. What are the prime factors of h(-2)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1, -30, -81, -152, -243?\n\"Answer: -10*z**2 - z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 r when four letters picked without replacement from rrkrkrkrkrkr.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 58\/641 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 - (14 + (-5 - -15) + -15).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16, 21, 14, -11, -60?\n\"Answer: -l**3 + 12*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 15\/4 + ((-196)\/35 - (-24)\/40)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*k + 14 = -86, -2 = k. Calculate the remainder when h is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.93354 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 138447568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(1*(-3)\/(-4)). Let l(p) = -p**3 - p**2 + p. Let n be l(0). Let z(i) = n*i**2 + 4*i + i**2 - 2*i**2 - 2 + 0*i**2. Determine z(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/2)\/y)\/((y\/y**(1\/22))\/y))\/(((y*y\/y**(2\/27))\/y*y)\/y*y\/y**(1\/5)) assuming y is positive.\nAnswer: y**(-4723\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 863596309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.275 + 0.725. What is the nearest to c in -0.3, 3, 9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/10 - 260389*c\/5 + 26557077\/10.\nAnswer: (c - 520727)*(c - 51)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -51*g - 3. Let t be l(-4). Suppose -j - 3 - 85 = 0. Let o = t + j. What is o rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -583829 - -728618537\/1248. What is the common denominator of f and 151\/468?\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.1 times -4.684?\nAnswer: -66.0444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.4, -68 in ascending order.\nAnswer: -68, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 6*j**2 + j + 33. Let b be s(6). Suppose -3*q - 2*m - 2 = 0, -9 - 26 = 5*q - 3*m. Is (145\/15 - q)*b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) 2 (c) -12 (d) -619 (e) 38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -6*a**2 - 15*a**3 + 6*a - 53*a**3 - 32 + 74 - 30. Let i be x(-7). What is i rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 4\/3, 2\/297 in descending order.\nAnswer: 4\/3, 2\/297, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/74, -35, 1\/9, -5, 5\/2?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 88\/2775 and 14\/1443.\nAnswer: 36075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**2 - 4*z + 1. Let y(p) = -5*p**2 - 12*p + 3. Let o(c) = -11*u(c) + 4*y(c). Let w(b) = 2*b**2 - 5*b + 2. Determine 3*o(j) - 2*w(j).\nAnswer: 2*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - -46 - 51 - 52?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79 - -79.0086. Round t to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 621*k = -683*k + 537*k + 26078 for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 0 - 4)*(-4 + 4 + 2*i**2) to d*i + y*i**2 + u and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2197 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 348 + -348. Suppose -5*c - 4*o + 362021 = n, 18*c - 289584 = 14*c + 5*o. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*r + 4, 0*f = -3*f - 3*r + 3. What is the greatest common factor of f and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.566 (b) -2 (c) -0.2 (d) -5 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m*(m\/m**(1\/3))\/m)\/m)\/((m*m\/m**(-17)*m)\/m) assuming m is positive.\nAnswer: m**(-55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + d = -174 - 1459, -4*d = 12. Is m 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 f*p**4 + 1257*f*p**3 + 6*f*p**2 + f*p + 2*f + p**4 + 15*p**2 wrt p?\nAnswer: 24*f*p + 7542*f + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1874937 and 690.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -217 take away 131.234353919?\nAnswer: -348.234353919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*g = -50*g - 1008 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**8\/20160 - u**7\/2520 + u**6\/360 + 19*u**5\/15 + 137*u**2. Let q(j) be the third derivative of m(j). Calculate q(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 73.57, 3, 0.4, -0.5 in decreasing order.\nAnswer: 73.57, 3, 0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/387)\/((924\/(-297))\/(-14))?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 612086518 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express f**4 + 28 + 168357*f - 168355*f - f**2 + 11*f**3 + 74 in the form k*f**4 + g*f**2 + y + n*f + z*f**3 and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-30))\/((-1)\/(-3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5)*(g**(-10\/3)*g)\/g assuming g is positive.\nAnswer: g**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z\/z**3*z*z*z*z\/z**(1\/16)*z)\/(z**6\/(z*z*(z*z**(9\/2)*z)\/z)) assuming z is positive.\nAnswer: z**(103\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, y: 11, w: 6}. Give prob of picking 3 y.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -1506 + 1566. Let a = -365 + 383. Do a and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, -65, -145, -225, -305?\nAnswer: -385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6017, -23958, -53853, -95696, -149481, -215202, -292853, -382428?\n\"Answer: c**3 - 5983*c**2 + c - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -120100000 rounded to the nearest one million?\nAnswer: -120000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -12 - (29 - 22).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 10*a**2 + 14*a - 168. Let c(h) = -4*h**2 - 5*h + 56. Calculate 14*c(x) + 5*y(x).\nAnswer: -6*x**2 - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 6:09 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2910 and 582.\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41.46 - -41.36. What is the biggest value in 4, -3\/2, h, 1\/8, -0.02?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*(-1*(sqrt(833)*-3 - sqrt(833))**2 + (sqrt(425))**2*6 + -2 + sqrt(17) + 2).\nAnswer: -20*sqrt(17) + 215560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from oqqxyoqqkoqqokqkxo.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4497 + -0.0555818?\nAnswer: -4497.0555818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from znhzhhmnsnshhmh. What is prob of sequence szmz?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/5))**(-13)*(j*j\/j**(-2))**(1\/39))**(1\/2) assuming j is positive.\nAnswer: j**(-487\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138 + 130 + 22*w**2 - 399 - 29*w**2 + 131 - 112*w**2.\nAnswer: -119*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**4 - 9*k**3 + 34*k**2 - 40*k + 32. Let y(j) = -j**2 - j - 2. Let i(l) = -4*y(l) - z(l). What is n in i(n) = 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*x + 21 = 30*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2366 and 306397.\nAnswer: 612794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33201 and 3069.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72765007 to the nearest integer?\nAnswer: 8530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 10 - 14*p**2 - 3*p**3 - 3*p**3 - 13*p + 5*p**3. Let q = -241 + 228. Let h be v(q). What is the highest common divisor of 5 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2523, -2525, -2529, -2535, -2543, -2553?\n\"Answer: -p**2 + p - 2523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -3*h - 19 + 50, -3*h = 4*u + 14 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1043835?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 9. Let g be (-4 - 84\/(-22)) + (-18)\/22. Let y be u*3\/(-45) + g\/(-5). Which is the nearest to 0.2? (a) y (b) 0.1 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 971319.\nAnswer: 3, 199, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(360)*-1*-1)\/sqrt(8) + 0 + sqrt(5445) + 1.\nAnswer: -3 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 12*c + 2. Suppose 3*p - 3 = g, 0*p - p + 5 = g. Let j be ((-20)\/(-12))\/(g\/(-18)). What are the prime factors of n(j)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-49 + 97 - 50)*(2 + 2 - 5)*(-3*x + 4*x + x) to q*x + r and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 21. Suppose 29 = -2*f - 5*v, -4*f - 109*v + 114*v + 17 = 0. Which is the nearest to f? (a) n (b) -1\/5 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-3))\/((-30)\/(-144)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y - 4*r = -6*y - 296, 2*y - 148 = -5*r. Suppose -y*v = -68*v + 249000. Round v to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5440\/(-510) + 14 - 1763\/528?\nAnswer: -1\/176","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -1356*n - 14480. Determine g(-10).\nAnswer: -920","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 22*h + 190. What is o(-8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - l**2 - l + 1. Let o(r) = r - 8. Let u be o(-9). Let b = 11 + u. Let g be 6\/4 - (-3)\/b. Calculate i(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*a - 5*a - a)*(7*a**2 - 6 + 6) in the form m*a + k + j*a**2 + p*a**3 and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58\/(-20) + (98\/28 - 1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -6)\/(0 + -1). Let w(q) = 15 - 27*q - 28 + 69. What are the prime factors of w(v)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*c = 7, -5*s + 6 = -3*s - 2*c. Sort -4, s, 16 in decreasing order.\nAnswer: 16, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*q + 5*b = 91*q - 18, 24 = 3*q - 5*b for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 70. Let b = -3 + i. What is the remainder when b is divided by (18 + 4\/2)*(-20)\/(-50)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 78852 and -7.7.\nAnswer: 78844.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 2. Let u(v) = -2*v - 2. Let i be u(-3). Suppose 2*c + 12 = n - 2*c, -3*c = i*n - 124. What is the remainder when n is divided by o(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31565 to the power of 1\/2, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 13*f**2. Let b(p) = -20*p**2. Let n(q) = 5*b(q) + 8*c(q). Let u = 14 - -29. Let j(k) = 4*k**2 - u + 23 + 20. Calculate n(j(z)).\nAnswer: 64*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-266)\/(-41))\/(13 - 12). Let l = -1408988 - -519915941\/369. Let x = l + k. Calculate the common denominator of -77\/8 and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -12 + 0 - (6 - (12 + -9)). Let g be (-4)\/((-22)\/(-26) - 1). Let y = g + q. Calculate the least common multiple of 2 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 2:05 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 - 6*i + 17. Calculate f(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -591 - -32?\nAnswer: -55d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -360*t - 29 + 1432*t - 358*t - 359*t - 361*t.\nAnswer: -6*t - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-18)\/(-27)*(6965 + -11)?\nAnswer: 2, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15220 - -15215. Let n = 2 - 1. Let h be ((2\/5)\/2)\/n. Which is the closest to 0? (a) 3 (b) h (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3488581?\nAnswer: 677, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -154654, -309308, -463962, -618616?\n\"Answer: -154654*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrrrryrrryrrrrr. What is prob of sequence ryy?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29850*s**3 - 14*s**2 + 4*s - 20 wrt s?\nAnswer: 179100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 242783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 80 = 4*r - b, -2*r + 2*b - 42 = 0. Let f = 25 + r. Calculate the greatest common divisor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 1 = o, 3*o = 5*i + 1 + 14. Let t be (6\/15)\/((-38)\/o). What is the nearest to -1 in 0.2, -5\/4, t?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 7*d + 7. Let r be n(5). Let t(a) = -3*a + 2. Let x(f) = f**2 - 6*f + 5. Let l(c) = -5*t(c) + 2*x(c). Is 3 a factor of l(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 584?\nAnswer: 2920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -840. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(((-11)\/(-198)*12)\/(-2))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43985 = -2*h - 5*p, 4844 = -4*h - 2*p + 92838. Round h to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-151) - 2699487\/(-72933)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -n - 5*w + 14, -1592*w = 4*n - 1594*w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -21) + 0 + (0 - 11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -15*n + 10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7476*x**4 + 2493 wrt x?\nAnswer: -29904*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 51 (base 15) to base 4\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from heehhhhhhhh. What is prob of sequence hh?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (286\/(-52))\/((-44)\/8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dpp when three letters picked without replacement from {p: 3, d: 7}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 40103 (base 6) in base 7?\nAnswer: 21141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-nine fifths of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 179.971 - -0.029. Let o = 176 - h. Which is the closest to 0.04? (a) o (b) 5\/2 (c) 5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-3)*21\/28.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + y - 483 = -p, p - 4*y = 174. What is the remainder when p is divided by 2\/(-1) + 5 - -30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.28 + -0.02. Let t be -5 + ((-17)\/12)\/(8\/(-32)). Which is smaller: t or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2bbb778 + 3?\nAnswer: 2bbb77b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1387159 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197 = 3*h + 26. Suppose 4*q = q + h. Find the common denominator of q and ((-2)\/12)\/((-3)\/231).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 12. Is r >= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 5027 - 2841. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 44 = -x, 2*x + 11*o = 8*o + 95. What is the highest common divisor of 56 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6244534*l**2 - 2 + 9*l**3 - 6244534*l**2.\nAnswer: 9*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19464702*c**3 + 47772087?\nAnswer: -58394106*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 6. Let y be l(6). Let p(x) = 40*x**2 - 5 - 41*x**2 + x + x**3 + 7. Is p(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -16. List the prime factors of (-54)\/((-3)\/1) - f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -186205411, -372410820, -558616229, -744821638, -931027047, -1117232456?\n\"Answer: -186205409*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1208.3*-0.11\nAnswer: -132.913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*j**2 - 77*j**2 + 152*j**2 - 5675*j.\nAnswer: -12*j**2 - 5675*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20 + 2a?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 2*q - 2. Let u be s(-3). Let h be (u - 1) + 32\/(-17). Let c = h - -514\/255. Does 1 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -579 + 44 - 31 + n - 83 to the form f + v*n and give f.\nAnswer: -649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-2))\/(4635\/(-206))\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -167 - 11932.\nAnswer: -12099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 6*x - 7. Determine m(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -35*u**2 - 9*u + 46. Let m(j) = j - 1. Let c(t) = -k(t) - 3*m(t). Is c(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2236821934 to the power of 1\/3, to the nearest integer?\nAnswer: 1308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-30) + -3*1\/20.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) + sqrt(364)\/sqrt(63) + sqrt(208)*-5)*4)\/(sqrt(100)*3*-3*-1) + 1.\nAnswer: -104*sqrt(13)\/135 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 519*f**2 + 4*f - 3. Let r(k) = 260*k**2 + 2*k - 1. Let z(h) = -3*o(h) + 7*r(h). Is z(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (22*342\/836)\/(3\/5). Solve 3*u = -4*t + 8 - 21, 0 = -3*u + 3*t + c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 462*w**2 + 460*w**2 + 451*w**2 + 455*w**2 + 463*w**2 - 2308*w**2.\nAnswer: -17*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 2. Let c be y(6). Let r = -3 - c. List the prime factors of 6 - (-2 + -1)*r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*q**4\/7 - 4692256*q**3\/7 + 53934*q**2\/7 = 0.\nAnswer: -26967, 0, 1\/87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 3*a**4 - 3*a**2 + 3*a + 25. Calculate the remainder when c(2) is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d - d + 10*d + 10*d.\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*x**3\/7 - 1910*x**2\/7 - 2238*x\/7 - 666\/7.\nAnswer: -2*(x + 37)*(5*x + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -363 divided by 492\nAnswer: -121\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*n + 5*n**5 - 6*n + (-3*n**2 - n**2 + 3*n**2)*(-5*n**3 + 2*n**3 + 2*n**3) + 4*n**5 - n**5 - n**5.\nAnswer: 8*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*r - 138*r + 23840 = 0. What is the remainder when r is divided by 83?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {l: 2, z: 9, c: 6, k: 1}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + m**3)*(165*m**2 - 385*m**2 + 150*m**2 + 0 + 0 - 4*m**2 + (-5*m + 2*m + 2*m)*(-5*m + m + 2*m)).\nAnswer: -72*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 167, 307, 467, 653, 871, 1127, 1427?\nAnswer: 1777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72485698?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 0, -4, -3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.208 - 2.792. Which is the closest to 1? (a) w (b) -44\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 471296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106 - 54 - 52 + 6*i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - -8. Suppose 4*j + 2*s = -s + 17, 0 = 4*j - 2*s - n. Suppose 8 = -d + 4*o, -3*d + 16 = j*o + 6. What is the closest to d in 4, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/5538 and 83\/30?\nAnswer: 27690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4208 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(d) = -d + 21. Let z(a) = -2*a + 12. Calculate 5*b(f) - 6*z(f).\nAnswer: 7*f + 33","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*d + 0*d - 322 = 0, -5*g - d + 404 = 0. Find the third derivative of 62*z**3 + g*z**2 - 264*z**3 + 7*z**2 + 6*z**2 wrt z.\nAnswer: -1212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/7 - 5520*h**2\/7 + 3584394*h\/7 + 314115516\/7.\nAnswer: 2*(h - 1419)**2*(h + 78)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 111228451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 9*v**5 - 8*v**4 + 5*v**3 + 3*v**2 + v. Let g(y) = 4*y**5 - 4*y**4 + 2*y**3 + 2*y**2. Let n(a) = -5*g(a) + 2*z(a). Factor n(o).\nAnswer: -2*o*(o - 1)**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 249, 522, 845, 1242, 1737, 2354?\nAnswer: 3117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(343)*2*-1.\nAnswer: -14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32.05 + -0.05. Let d = -32.8 + v. What is the third biggest value in 5, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-one fifths of a decade?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 5*x**7\/42 + x**6\/6 - 5*x**5\/4 + 5*x**4\/4 - 58*x + 112. Let r(v) be the first derivative of t(v). Factor r(y).\nAnswer: 5*y**2*(y - 1)**2*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -23\/6, 15\/7 in decreasing order.\nAnswer: 15\/7, 0.5, -23\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -19480 divided by -2435?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -404 - 14*j + 404.\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -266 - -267. Let g = -17 - -152\/9. What is the closest to -0.1 in 0.4, g, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.3772 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -3) + 100 + -104 - (16 + 2)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 5*p**6\/6 + 5*p**2\/2 + 7. Find the second derivative of w(v) wrt v.\nAnswer: 100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + n + 816 - 258, -3*n = 3*g + 342. Let x be -2 + (-3)\/(-3) - g. What is the highest common factor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2925 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2665260433?\nAnswer: 11, 31, 163, 47951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -11*t**2 - 7*t. Let s be 0 - -2 - -1 - 0. Let v(p) = p + 7. Let x be v(-5). Let b(a) = -a - 5*a**2 + 0*a**2 - x*a. Determine s*r(z) - 7*b(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -11*h**3 - 31*h**2 + 29*h + 79. Determine r(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 18. Sort 1, -8, l.\nAnswer: -8, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m + 5. Suppose -12*g + 515 = 91*g. Let i(p) = 2*p - 4. Calculate g*z(y) + 6*i(y).\nAnswer: -3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 171 + -24?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uududuuuuududu. What is prob of picking 1 d and 2 u?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 486652 and 1394?\nAnswer: 339196444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -10*i - 25*i + 36*i. Calculate t(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-2)*(7 - (0 + -1)). Suppose 0 = -k*r + 6*r + 6. Solve -r*m - 1 = -10 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*-177850\nAnswer: 12449.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**4\/15 + 698*s**3\/15 + 892*s**2\/3 - 71336*s\/15 + 7952 = 0.\nAnswer: -14, 2, 6, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -152\/55 - -26\/11. Let i = 1 + -1. Which is the biggest value? (a) 0.4 (b) t (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 5*h**2 + 9625*h + 1125000 = 0.\nAnswer: -1800, -125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5654 and -6515036091.\nAnswer: -6515030437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 554 = 23*a - 68*a - 480 + 764 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/45*(-24)\/4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 u, and 2 v when four letters picked without replacement from {b: 3, t: 2, v: 4, m: 1, u: 6, e: 3}.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -280682288*u**2 - 99*u + 138224?\nAnswer: -561364576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**4\/11 - 86*m**3 - 112874*m**2\/11 - 3306422*m\/11 - 13829760\/11 = 0.\nAnswer: -49, -5, 576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*c - 307 = 0, -u + 3*c - 1501 = -6*u. Let b = -274 + u. Calculate the remainder when b is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59.72 + -60. Let p = 5.28 + w. What is the closest to -1\/2 in 3\/8, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-7)\/v*v**(-7))\/((v*v*v**3*v*v)\/((v\/v**(-7))\/v)))**(-14) assuming v is positive.\nAnswer: v**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-2*sqrt(90) + sqrt(90))\/(2*sqrt(108) + sqrt(108) - sqrt(108)))\/((-4*sqrt(80))\/sqrt(8) - (sqrt(90) - sqrt(90)*4)).\nAnswer: -11*sqrt(3)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.038 + 4.038. What is the third smallest value in 0.4, -2, -6, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 451 = o + c, 4*o - 1795 = -3*c. Suppose -488 = -6*g + o. Does 26 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.5056502 rounded to 0 decimal places?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000600625167 to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**4 + n**4 - 3*n**5 - n**5 + 0*n + 0*n - n**5 + 3*n**5 + 0*n**5 + 0*n**5 - n**5 + 0*n**5 + (-2*n - n + 4*n)*(-3*n**4 + 4*n**4 - 3*n**4).\nAnswer: -5*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -869 and 0.115?\nAnswer: -99.935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 + 9*c - 70 + 219 - 81.\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -15\/28, 2\/15, -1, -1\/7, 5?\nAnswer: -15\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 g when four letters picked without replacement from {w: 4, g: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3 = 2*x. Let v be (-45 - x)\/(-4) + -2 - 2. Is v smaller than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46704000 rounded to the nearest 1000000?\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 54076? (a) 5 (b) 2\/11 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60 or 0.115?\nAnswer: 0.115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - 16*(-5)\/(-10). Let f = 0.054 - 1.054. What is the closest to 30 in 4, f, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**4 + 12*i**3 - 29*i**2 + 18*i = 0.\nAnswer: 0, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(275\/10) - (-222)\/(-30)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1731643 is divided by 3740.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) -61\/2353 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2286 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3 + 5*i - 1 - 1 - i. Calculate w(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 1 (b) 0.5 (c) 13\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 940935.2ng to micrograms.\nAnswer: 940.9352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 4:22 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2417 != 10700?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 457 + 5*s + 0*s - 4*s - 455 + 3*s.\nAnswer: 4*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98 - (95 + -14 - 7).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1563163498, -1563163499, -1563163500, -1563163501?\n\"Answer: -v - 1563163497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f\/f**(-1\/6))\/f)\/(f*f**(-2)))**47)**(2\/29))**(17\/6) assuming f is positive.\nAnswer: f**(5593\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 133 - 17 = 0. Calculate the remainder when y is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39899*k**2*m**3 + k**2*m**2 + 17*k**2 - 283222*k*m**3 - k - m wrt k.\nAnswer: 79798*m**3 + 2*m**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*t + 4*t - t**2 + 0*t**2)*(2 - 28*t - 23*t + 49*t) to r*t**2 + u + k*t + b*t**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3881182?\nAnswer: 2, 1229, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.048859 + 154.428.\nAnswer: 154.379141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33564159\/14 or 2397439?\nAnswer: 2397439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -4. Let p = 7 - 5. Calculate the remainder when (35\/y)\/((-2)\/(-4)) is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 + -65?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (4 + 0 - (6 - 6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*(3 - -2)\/5 - -12. Solve -3*i - 5 = -f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 12201211?\nAnswer: 12202000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -t + 102, -4*t + 2*p + 117 = -363. What is the remainder when t is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -133\nAnswer: -4\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10174642.\nAnswer: 2, 41, 167, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(11)*1 - (-5 + sqrt(11)*3))**2.\nAnswer: -40*sqrt(11) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*t - 106*t - a = -1, 3*t + 4 = 4*a. Solve 642*j - 668*j - 182 = t for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39946.2278 - 40020. Let c = h - 7.5188. Let f = c + 81. What is f rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*g = 21, 15 + 35 = i - 5*g. Put 23, -1, i in increasing order.\nAnswer: -1, i, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 3*a - 10. Let c = a - 2. Let h(y) = -y + 4. Give h(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 + 4*o**2 + o**2)*(5086 - 5086 - 145*o)*(1 + 0 - 3).\nAnswer: 580*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 9*a - 4. Suppose 4*z = -3*y + 15 + 5, -15 = -y - 3*z. Suppose y = -2*u - 2, -5*j + 27 = -2*j + 3*u. List the prime factors of w(j).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-1)*(-7)\/(21\/(-2)). Sort 4, o, -15, -1 in ascending order.\nAnswer: -15, o, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/3)\/(10\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -2\/95, -4, 0.1, 2?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19125, 38252, 57379, 76506, 95633, 114760?\nAnswer: 133887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3651460, 7302915, 10954370, 14605825, 18257280, 21908735?\n\"Answer: 3651455*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, t: 1, o: 4, b: 4}. What is prob of sequence tyo?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*q + 201 = -259, -q = -3. Let m be ((-96)\/t)\/(1\/(-7)). Suppose -m*g + 115 = -g. What is the remainder when g is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/sqrt(5)*6 + sqrt(28))\/((1*sqrt(44))\/sqrt(11)) + sqrt(7)*-3 + 1 + ((sqrt(7) + -1)*-3 - sqrt(7)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1 (b) -621 (c) 11.85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j + 4*j - 3*j)*((2 + 0 - 4)*(3 + 1 - 2) + (0 - 1 + 0)*(3 + 3 - 2) - 3 + 1 - 1) to the form l + y*j and give y.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 + 3263?\nAnswer: 3247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 95.61 + 79.73\nAnswer: 175.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -364, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.92342 rounded to two dps?\nAnswer: 2.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(12) + sqrt(192) + sqrt(192)*1 + sqrt(192) + sqrt(12) + -1)**2.\nAnswer: 56*sqrt(3) + 2353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45524 and 342.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -0.1. Let g be 2\/16*2 - 0. Let r = -0.048 - 0.452. Which is the second smallest value? (a) y (b) r (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 3*z**2 - 6. What is m(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 864 by -4.\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (108\/714)\/((-1)\/(-14)) + -2. Which is the fourth smallest value? (a) o (b) 0.5 (c) -4 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**4\/6 - 7*l**3\/2 - 7*l**2. Let z(h) = -h**3 + 4*h**2 - 2. Let w be z(3). Calculate the remainder when a(w) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.667877cm to meters.\nAnswer: 0.06667877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/2550 and 107\/30?\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 + 0*c**3 + 3*c**3)*((-2*c + 2*c - c**2)*(-2 + 0 + 1) - 4*c**2 + 2*c**2 + 3*c**2 - 6*c**2 + 6*c**2 - c**2).\nAnswer: c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*j + 26*j + 0*w + 2*w + 22 = 0, 0 = 3*j + w + 13 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1752952 and 64.\nAnswer: 14023616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 2 - 5) + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -24, 92, 286, 558?\n\"Answer: 39*a**2 - a - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -105, -479, -11, 1 in increasing order.\nAnswer: -479, -105, -11, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7008*u**2 - 3504*u**2 - 3503*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48\/5 - 10. Which is the closest to y? (a) -6\/11 (b) 0.9 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -20*i + 29. Calculate c(3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9643.869 litres to millilitres.\nAnswer: 9643869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (-24 - -1 - -3). Suppose 0*t + q = t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*u**(4\/9)*u*u)\/u*u\/u**6)\/(u*u**(-2)*u\/(u**(-2\/5)*u*u)*u) assuming u is positive.\nAnswer: u**(2\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**4 - 2*x**4 + 7*x**4 + x**2 + x**4 - x**2 + (0*x**4 + x**4 + 0*x**4)*(-5 + 4 - 1) + 3*x**2 + x**4 - 3*x**2 - 3*x**2 - x**4 + 3*x**2.\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 7*a - 10. Let p(r) = -2*r + 13. Let k be p(10). Let b be u(k). Let d = -7 - b. Solve 0 = -o + 5*o - d*i, -2*o = i for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - -7. What is the least common multiple of 7 - (-5 + 3 - 1) and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - o. Let w = -8 + 13. Suppose o = w*r - 35 - 10. What is the remainder when 15 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, d: 1}. Give prob of picking 2 l.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6104\/(-91) - ((114\/(-12))\/19)\/((-13)\/(-2))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -670 divided by 8.\nAnswer: -335\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*m**2*x**2 + 3*m**2*x - 9*m**2 - 4*m*x - 1274*m + 822457*x**4 + 11*x - 2 wrt x.\nAnswer: 16*m**2 + 9869484*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/3))**50\/(a**(-13))**(11\/3) assuming a is positive.\nAnswer: a**(193\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 7*l**4\/4 - 3*l**2\/2 + 14*l. Find the first derivative of p(n) wrt n.\nAnswer: 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - 2*w - w)*(-2 + 2 - 2*w) + 0*w**2 + w**2 + w**2 - 4*w**2 - 5*w**2 + 5*w**2.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 209461 = w, 0 = 5*w + m - 1348211 + 300950. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15173057 bigger than 15173056?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -65. Suppose 0 = 23*h - 10*h - 1339. Suppose 0 = -5*b - 3 + h. Calculate the remainder when y is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -235*f - 43. Let l = -36 - -24. Is x(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ak when two letters picked without replacement from nrkmarfkrnnr.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 13*n**4\/12 + 9*n**3\/2 - 11*n**2 + 229*n. Is l(-6) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 570669980?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -18*j**4\/7 - 103612*j**3\/7 + 1534678*j**2\/7 - 2354672*j\/7 - 600184\/7 = 0.\nAnswer: -5771, -2\/9, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 178650047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*g + 117 = -108*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 51, -119, 0, -4, -1 in descending order.\nAnswer: 51, 3, 0, -1, -4, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -0.19, 2, 2\/11, -4, -2082?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 12. Let m be (-9)\/4*(-88)\/33. Suppose f = 8*z + 2 + m. Let g(t) = 5*t**3 + t**2 - t - 1. Calculate g(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1473539 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2130*f + 2025*f = -3360 for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46055\/21 + -2193. Which is the closest to -3? (a) -4 (b) g (c) -52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018756 to three dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-5)*b\/(b\/(b\/(b\/b**(-1\/6)))*b))**(-38\/7))**23 assuming b is positive.\nAnswer: b**(16169\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w**2. Let g be 10\/(-45) - (-29)\/9. Let t(h) be the third derivative of 0 - 1\/30*h**5 + 0*h**g + 0*h**4 + 0*h - 2*h**2. Calculate t(f(o)).\nAnswer: -50*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/55? (a) 27000 (b) -1\/10 (c) 3 (d) -1 (e) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -443*c**3 - 2*c**2 + c. Let y be w(2). Let o = y - -78149\/22. Calculate the common denominator of -61\/8 and o.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 617688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 11:31 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kho. Give prob of sequence hk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1236*s + 1273*s - 123*s in the form i + v*s and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 667*k = 345*k + 2576 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 29 and -19825.\nAnswer: -19796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 + 122*w**3 - 2*w**2 + 16 - 2.\nAnswer: 122*w**3 - w**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 4:58 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*p + 39 - 84 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 459530*n - 459528*n - 5*g, 5*n = 8*g + 55 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3403615 times -27\nAnswer: 91897605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4) - 707\/(-28). Let g = b - 14. What is the remainder when 32 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1279 plus -717573.986?\nAnswer: -718852.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/1089 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/8 and -28\/79.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -3 - (16 - 5 - 9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -20105 to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1885 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: How many minutes are there between 4:48 AM and 6:56 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(1331) + -1)**2*5 - (sqrt(1331) + 1 + sqrt(1331) + -4)) + (sqrt(1331) + (-2 + (sqrt(1331) + -3 - sqrt(1331)) - sqrt(1331) - sqrt(1331)))*3).\nAnswer: -990*sqrt(11) + 39888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -284 + 547 + 368 - 155*t.\nAnswer: -155*t + 631","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-173 - 64 + 23)*(4 + 3*s**4 - 4).\nAnswer: -642*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*c - 3*c = 35, -4*c + 56 = 3*p. Suppose 2*w = 7*w + 10, -w - 252 = -5*f. Calculate the lowest common multiple of 10\/f + 207\/15 and p.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 162 - 1132\/7. Let h be (69\/(-115))\/(36\/75). What is the nearest to r in 10, h, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 4:37 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-12) - (-10915)\/(-236). Let o be (-14)\/(-21) - (-8)\/(-3). Put o, r, -1 in descending order.\nAnswer: -1, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40.6 times 0.07\nAnswer: -2.842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -218 by 1.\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + 32 + 12 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + y + 13 - 6, -2*y = -4*h + 2. Suppose -2\/11*w**h - 4\/11 + 6\/11*w = 0. What is w?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84560024?\nAnswer: 2, 1657, 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-24)\/(-4) - 1. Let 0*k + 3*k**4 + 3*k + 3*k**4 - 4*k**3 - y*k**3 = 0. Calculate k.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 2*o**2 + o**2)*(3 + 3 - 3)*(-2*o**3 - o**3 + 2*o**3).\nAnswer: -6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 7*g**2 + 5*g + 3. Let z = 24 + 3. Calculate the smallest common multiple of n(-8) and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (0 + sqrt(5))**2 + 0 + 1 + 3 - (sqrt(10) + sqrt(120)\/sqrt(300))\/(6*-3*sqrt(2)).\nAnswer: sqrt(5)\/15 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.156545l to millilitres.\nAnswer: 7156.545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/4 - 112*j**2 + 64183*j\/4 + 32315\/2.\nAnswer: -(j - 115)*(j + 1)*(j + 562)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 - 35. Let y = 419.6 + -324. Let i = y + u. Round i to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + -1 - (-1 + 0). Let q be (-8)\/12*4*(-27)\/4. Suppose -4*a + q = l - 6*a, -f*a = 15. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14794 + 15122. Solve 351*a - o*a = -46 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 b, and 2 k when four letters picked without replacement from bttkk?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 8:21 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 13*j + 7. Let b be w(13). Solve -i - 9 = -0*i - 4*o, 3*i + 5*o = b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/6*(-26)\/273.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 2*p)*(p - 75*p**2 + 69*p**2 + 7*p**2 - 10) to t*p + s*p**2 + i*p**3 + k and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - c + 4*c)*(-1 + c + 1)*(4 + 0 - 3)*(c**2 - 7*c**2 - 4*c**2).\nAnswer: -70*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 10*i**2. Let c(k) = 2*k**2. Determine c(v(f)).\nAnswer: 200*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -332*f**5 + 11*f**3 + 118*f**2 + 7?\nAnswer: -19920*f**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -336 + 153. Let o = -117 - y. Let z = o + 49. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(2\/45)*u**11 assuming u is positive.\nAnswer: u**(538\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7 + -0.53. Let k = 82.97 + -83. Let l = k - w. Is -2\/7 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*4*-4*sqrt(2057)*3*6)**2.\nAnswer: 682463232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -117*v**2 + 0*v**5 - 3*v**3 - 5\/24*v**6 + 0*v**4 + 0 + 0*v. What is the first derivative of p(n) wrt n?\nAnswer: -75*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-15)*(-20)\/(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*g + 14. Suppose g*w = -w. Suppose 5*b + w = -10. Put -5, 4, b in increasing order.\nAnswer: -5, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82 (base 13) to base 2\nAnswer: -1101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 5*w - 33, -2*n = -w + 5*w + 30. Put n, 3, 1 in decreasing order.\nAnswer: 3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 j when two letters picked without replacement from joajjjjoa.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - 4 + 4)*(2 - 3 + 2) - 520*l**2 + 184*l**2 + 265*l**2 - 5 + 3 + 4 + 2*l**2.\nAnswer: -68*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, z: 3}. Give prob of picking 4 p.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*y = -0*f - 36, -2*y = 2*f - 18. Let k = 25\/3 - f. Let i = 186 - 1300\/7. Which is smaller: i or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -2. Let q = 18 - 15. Put q, -3, k in descending order.\nAnswer: q, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c*c**(-40))\/c)*(c*c**(-6))\/c)\/((c**(1\/14)*c)\/c**(3\/11)) assuming c is positive.\nAnswer: c**(5267\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -84 - 1?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13a2 (base 11) to base 16.\nAnswer: -70e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(234)\/sqrt(144))\/(sqrt(22)\/(sqrt(22)\/sqrt(2)) + sqrt(2)).\nAnswer: sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((0 + sqrt(405))*-6 + -1)**2.\nAnswer: -29162 - 216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16177, -7082, 8077, 29300?\n\"Answer: 3032*a**2 - a - 19208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4171 + 3699. Which is smaller: -5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*k - 37*k + 10. Put k, 1, -1, -2\/11 in descending order.\nAnswer: 1, -2\/11, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 1:35 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5265 and 1314027.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g - 44. Let c be a(-8). Let i = 3947 + -43452\/11. What is the common denominator of c\/(-5) + (-927)\/135 and i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 2 + 0)*(i - 4*i + i) - 2*i + 5*i - 4*i + i - 1 + 1 + 5 - i - 5 - 6*i + i + 6*i + 2*i + 7 - 3 - 2)*(-1 + 0 - 1) to r + o*i and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*h - 133 + 91 = 0. Let p(i) = 2 + i + 3 + 2*i - 6. Determine p(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 24, -67*z = 5*j - 70*z - 108767. What are the prime factors of j?\nAnswer: 21757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22764 is divided by 1895?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 338 and 200603.\nAnswer: 401206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -3\/11, -39290 in increasing order.\nAnswer: -39290, -3\/11, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 115*c - 112*c. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 4*d - 265, -5*d - 34 = y - 8*d. Let i = y - -35. Let s be i\/273*-3 + 102\/13. What is the greatest common factor of s and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5760) + (sqrt(5760) - (sqrt(5760) - sqrt(5760)*3)) - sqrt(200)\/(sqrt(40)\/sqrt(8)))\/(sqrt(24)\/sqrt(27) + -1*sqrt(128)).\nAnswer: -141*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17687\/2 - -8360. Let l = 484 + v. What is the third smallest value in -1, -2, 0.2, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 325 - 67. What is the highest common divisor of h and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -467\/51, -98, -0.06, 3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3127 - -9017\/3. Let u = 121 + n. Is u at most as big as 0.304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.7 - -7. Let h = 2.20614 + -1.70614. What is the closest to -2 in i, -5, h, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/890943 != 3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 401585 equal to 401585?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/3, -18, 5, 3?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -238842 divided by 20\nAnswer: -119421\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4440\/1665*(-1)\/((-4)\/(-30))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - 13 + 13)*(0*k - k - 3*k) + 4*k**2 - 2*k**2 + k**2.\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/87 (b) -4 (c) -2734 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 65683381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 6*t**2 + 6*t**2 - t**2. Suppose 3*r = -5*h + 8576, -r + 6864 = 4*h + 3*r. Let j(w) = 0*w + 3*w - h + 1714. Give m(j(q)).\nAnswer: 99*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 12:22 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 13, c: 6}. Give prob of picking 1 c and 1 v.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*m = 65*m + 255*m + 17220 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8295 (b) 1\/495 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -170036, -170149, -170266, -170387, -170512, -170641, -170774?\n\"Answer: -2*p**2 - 107*p - 169927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35\/86 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -52 + 24 + 31 + 8*w. Suppose 2*r - 4 + 0 = -4*k, -5*r = 0. What is the remainder when n(0) is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.72 * 15.\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -13. Let d(l) be the first derivative of 2 - l**2 - 2*l**2 + l**a - 8. Let r(j) = -2*j**2. Give d(r(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.147*0.52\nAnswer: -0.07644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.72521198 to 1 dp.\nAnswer: 9.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = y - 2*i - 4 - 8 + 4, -5*y = 139*i + 61 - 726 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-5 - (-2 + 1)) + 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.5, -40, -154, 2\/13 in ascending order.\nAnswer: -154, -40, -2, -0.5, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 5 - (sqrt(57)\/sqrt(3) + 5))**2 + 5.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.1 and -10487304?\nAnswer: 10487301.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 16 = -4*c, -3*c = 3*o + 2*o - 12. Suppose -12 = -4*a + 5*b - 6*b, -5*a + 2*b + 15 = o. Solve h - 4 = -a*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j - 2. Let g be o(4). Suppose g*n - 47 = -5*h + 2*n, -4*n - 19 = -h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6373, 7327, 8917, 11143, 14005, 17503, 21637?\n\"Answer: 318*d**2 + 6055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 90.9, 0, 4, -0.02 in descending order.\nAnswer: 90.9, 4, 1, 0, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 + 63*m**2 + 21*m + 58. Give s(-31).\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -6*k**3 + 6*k**2 + 5*k - 2. Let g(s) = -7*s**3 + 7*s**2 + 6*s - 2. Calculate -6*c(d) + 5*g(d).\nAnswer: d**3 - d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3 = -2*n + 2*h, 2*h = -n + 4. Let z(w) = 2*w**n - 3*w**2 + 3*w**2. Let m(c) be the third derivative of -c**4\/24 + c**2. Calculate m(z(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/3680 and 87\/1840?\nAnswer: 3680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*t + 8. Let w = -5 - t. Let q be 75\/(-25) + (-3)\/((-3)\/(-2)). Put q, w, 5 in descending order.\nAnswer: 5, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*r**2 - 7*r**2 - 10*r**3 + 12*r**2 wrt r.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or -2\/9563?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = 26*c - 39*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 2:03 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2. Suppose 0*h = -2*h + 6. Suppose -4*o + 2 = -h*o. Let l(r) = -r + 2*r**o - r + 2*r. Determine l(m(n)).\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 5. Suppose -9*s - 2 = -10*s. Suppose 4*i + 8 = 2*x, s = 2*i - 4. Let z be r(x). Let o(j) = -j - 2. Calculate o(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1625770 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -12.5. Let g = 7 + -7.1. What is the closest to -1 in n, -8, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 4*g - 4*j = 0, 5*j = -5*g - 10 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 171553 and 171566 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2577983179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kzv when three letters picked without replacement from {z: 3, f: 2, k: 9, v: 5}.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6337*d + 6336*d = -u + 195, -2*d = 4*u - 810. Calculate the smallest common multiple of 120 and u.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-180)\/46) + -3?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5480562, -5 in decreasing order.\nAnswer: 5480562, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/((-28)\/16))\/((-14)\/(-7)). Let d be 2\/((-3 - -2)\/v). What is the second smallest value in -1.4, -0.5, d?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 - -0.9. Let x be (-22)\/36*(-2)\/4. Let h = x + -3\/4. What is the closest to -2 in u, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, q: 4, b: 3, a: 6}. Give prob of sequence ba.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 1988974*d + 1988973.\nAnswer: (d + 1)*(d + 1988973)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**3\/3 - 14366*j**2\/3 - 4788*j = 0. What is j?\nAnswer: -7182, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 4 - 2. Let a be q*2*5\/(-4). Let u = 2 - a. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -462 + 2286 = -57*l. Let q be ((-1053)\/(-156))\/((-60)\/l). Solve 34\/5*j**4 - 26\/5*j**3 - q + 9\/5*j**5 + 21*j - 104\/5*j**2 = 0.\nAnswer: -3, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*u = 16 - 16 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-1)\/(-4))\/((-39)\/52))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 11:06 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 337 + -599. Calculate the remainder when (-138)\/(-207)*(-1 - u\/4) is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1089.1 - -1089. Let y be -2 - (18 + 2 + -1). Let s = y + 13. Which is smaller: s or l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 63, 89, 115, 141?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -19908*z**3 - 4*z**2 - 4*z - 8. Let i = -83 + -49. Let q be i\/21 + 2\/7. Let r be k(q). Round r to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/(-18))\/((-2)\/3)*30. Let d = r - -61. What is the greatest common divisor of 13 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.3754745 to two dps.\nAnswer: -8.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3367.\nAnswer: 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.083 + -1762961?\nAnswer: -1762961.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + 5 + -9)\/((-4)\/4604) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*o = 110*o - 339*o. Let c(z) be the third derivative of 1\/180*z**5 + 2\/9*z**3 - 21*z**2 + 0*z - 5\/72*z**4 + o. Find g such that c(g) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/40 - (-14)\/(-8). Which is the closest to -2? (a) -0.2 (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18.491 + -0.009. Let m = 18 + z. Let n = 0.5009 + m. Round n to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**2 + 2*n - 1 - 18*n**2 - 48*n**3 - 57*n**3 + 96*n**3 to f*n + z + j*n**3 + c*n**2 and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2. Let s(l) = -132*l. Give k(s(p)).\nAnswer: -17424*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (15 - -3) + (-12 - -1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -22. Let w(q) = 2*q. Let f(z) = -5*z. Let m(v) = 3*f(v) + 8*w(v). Let h(o) = 2*o**2 - 4*o - 1. Determine x*m(r) + h(r).\nAnswer: 2*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5825321928 to the nearest integer?\nAnswer: 76324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 214444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 1176 = -0*z. Let d be 33\/15 + (-2)\/10. Suppose x + d*y = 32, 4*x - 10*y = -8*y + z. Calculate the highest common factor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1441 or 1421?\nAnswer: 1421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2212020102 - 12?\nAnswer: -2212020121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 9*o + 6*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a millennium?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.3562 rounded to 2 dps?\nAnswer: -6.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1347670248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 137*a**2 + 228*a - 13. Is w(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -299580 divided by -4\nAnswer: 74895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u - 36*u = -1600. Suppose 19*m = 24*m - u. What is the greatest common factor of m and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 603105 is divided by 1405.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*w - c + 2 = -77*w, 4*w - 3*c + 6 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 980\/(-44) - (160 - 182)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = k - 175. Let r(q) = k*q**2 + 2*q + q**3 + 8 + 27*q**2 - 40*q**2. Is r(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i - 28. Let t be s(9). Solve t = k + 2*k - y, 4*k - y = 11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1616, -3236, -4870, -6524, -8204?\n\"Answer: -r**3 - r**2 - 1610*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 11 = -2*q - 13, -5*q = 5*a + 35. Calculate the common denominator of -73\/10 and (-4)\/a + (-24)\/480.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 2:20 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 14*v + 15. Let s be i(14). Suppose s + 15*w**2 - 15 - 24*w - 19*w**2 = 0. Calculate w.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 200 and 1450?\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22205*i**2 + 208895?\nAnswer: -44410*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12515*m + 2507*m - 190275 - 195085 = 145064 for m.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1073*g - 4 = 1072*g + 5 - 4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8\/9, 2\/5, -0.3, -0.5, -14, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37002866 to the power of 1\/3, to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1077?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19\/3 - -67\/12. Let p be (4 + -3)*(1 - 4). What is the biggest value in -0.07, x, p?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1611)\/(-2) - 3\/6. Let o = -166 + u. Suppose 0 = -7*c - 86 + o. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 1225*y - 37941. What is o(31)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from uuueuuuuueueeueu.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6423 + 33033?\nAnswer: 23310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/1750 and 123\/9590?\nAnswer: 239750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8822 is divided by 181?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 126040486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 20 = 5*b. Let o(a) = -3*a**2 + 13*a + 5. Let n(w) = -4*w**2 + 20*w + 8. Let q(j) = b*n(j) - 8*o(j). Factor q(l).\nAnswer: 4*l*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8955 - 8892. Calculate the greatest common divisor of d and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1337093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 585*c**3 - 8*c**2 + 811*c - 8. Let j(p) = -390*p**3 + 5*p**2 - 541*p + 5. Let l(q) = 5*g(q) + 8*j(q). What is the second derivative of l(t) wrt t?\nAnswer: -1170*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 966 a factor of 880992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 31*s**2 + 3*s - 7. Let o(p) = 27*p**2 - 2*p - 7. What is 3*o(a) - 2*t(a)?\nAnswer: 19*a**2 - 12*a - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 54?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 2*b + g, 5*g + 40 = 4*b - 0*g. Suppose 0 = 5*n + 2*h - b, -4*n + 3*n + 3 = -2*h. Solve 4*r = 2*f - 2, -3*r + 2*f = 2*r + n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2441\/4 + -610. Factor 0*d**2 + 0 + y*d - 1\/4*d**3.\nAnswer: -d*(d - 1)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**14*k**10)**(-8)\/(k**(-6)*k*k*(k**(-2\/9)\/k)\/k)**(43\/3) assuming k is positive.\nAnswer: k**(-2992\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2*v + 18, -4*v - 44 = -3*a - 2*a. Suppose u - 27 = -a. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1275)\/45*((-21)\/35)\/(-1))\/((-28)\/4).\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/41544 and -109\/54.\nAnswer: 124632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (-12)\/(-4) + (-58)\/2. Let w = q + -4. Let s = w - -52. Calculate the remainder when s is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -7*l - 10. Let b(p) = 2*p**2 - p - 2. Calculate the least common multiple of b(l) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1988 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**2 + 12*q - 14. Let v(h) = -h**2 - 6*h + 7. Let b(c) = -2*m(c) - 5*v(c). Give b(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 52.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**13*(v\/v**(-9))\/v*v assuming v is positive.\nAnswer: v**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-40)\/2*(-6)\/15. Find o such that 4*o**3 + 2*o**4 - 6*o**2 + 0*o**2 + 8 - k*o + 0 + 0 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p - 5*p + p)*(4*p - 3*p + 0*p) - 10*p - 4*p**2 + 41 - 41 as v*p + s + r*p**2 and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-22)\/(-44))\/((-2)\/2 + -4 + -28). Let d = -25 + 23. Is d < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9509947?\nAnswer: 9509947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -79 (b) -4 (c) -2\/17 (d) -5\/36756\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/2365034 and -3\/4585270.\nAnswer: 224678230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 817533*7.5.\nAnswer: 6131497.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7553 + 16374. Is y a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 265626744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23200406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -315.9 + 316. Let g = 0.1 + 0.9. What is the closest to g in -4, 0.09, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1708654872423369 - 1708654797344082.0000011. Let s = 75079294 - z. Let r = s + -7. What is r rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90789227791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 48 = 14*o. Calculate the remainder when 46 is divided by o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*u - 23 = 0, 16 - 36 = -2*o + 2*u. Solve -o*t + 14 - 11 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + i + 2*i**3 + (-4*i + 4*i + 2*i)*(-26*i**2 + 2*i**2 + 11*i**2).\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -5 - (-11 - (-6 - -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57509, -230046, -517609, -920198, -1437813, -2070454?\nAnswer: -2818121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -2) + (17 - 2) - -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 12:02 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 3:58 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*q + 499538 + 116773 = 110969. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*a**3*g**3*y + 2*a**3*g**2*y + 3*a**3*g*y - 3*a**3*y**2 - 734*a**2*g**3*y**2 - 58*a**2*g*y - a**2*y**2 wrt g?\nAnswer: 24*a**3*y - 4404*a**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**5\/20 + o**4\/12 + 3*o**2\/2 - o. Let k be d(0). What is the first derivative of 0*g**k + 0*g**3 + 3*g**4 - 6 wrt g?\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 271 + -268. What is the nearest to z in -2\/7, 2\/17, -1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -121*x**5 + 8063*x**4 - 12907*x**3 + 2369*x**2 + 2336*x + 260 = 0.\nAnswer: -2\/11, 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/70422 and 55\/1746.\nAnswer: 211266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1381 + 1418?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 5287*i**7\/105 - i**5\/30 - 491*i**3\/6 + 2495*i**2. Find the third derivative of p(z) wrt z.\nAnswer: 253776*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(-50)*36\/14?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.37, 14, -0.4, 5, 19\/6?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52961 and 844.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1125 and 875?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 3*d - 2*d)*(3 - 1 + 0) + 845*d - 374 + 374.\nAnswer: 843*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + 169\/(-26))*4 - 3*225\/(-108)?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q**2 - 16*q + 122. Give n(-8).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56203, -56187, -56171, -56155?\nAnswer: -56139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 18 - 54 = 0. Let b(d) = 3*d - 13. Calculate the least common multiple of b(h) and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -2581b641?\nAnswer: -2581b644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -244467 and -244467 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2. Let n(d) = d**3 - 2*d**2 - 1. Let s(y) = -3*j(y) - n(y). Let t(c) = c**4 + 3*c**3 + c**2 - c - 2. Let p(a) = -2*s(a) - t(a). Factor p(h).\nAnswer: -h*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 871*b - 424*b - 447 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**2 - 1913*c - 12765 wrt c?\nAnswer: -4*c - 1913","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 809598, -1, -2\/69?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1274 by -14.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -446, 3, -33503.\nAnswer: -33503, -446, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0136309045 to four dps.\nAnswer: 0.0136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 2\/7 (c) 7\/5 (d) -3 (e) 1\/4 (f) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.771 + -143.229. Which is the closest to -2\/5? (a) 0 (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**4\/42 - j**3\/21 + j - 5. Let x(h) be the first derivative of d(h). Factor x(c).\nAnswer: 2*c*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-1)\/10)\/((26\/(-41535)*9)\/1)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 bigger than 136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -3*t - 4*a - 26 + 19, 4*t + 2*a = 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 0*g. What is the closest to 0.1 in 1\/2, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -6089*y**6\/120 - y**5\/60 + y**4\/8 - y**3\/2 + 49*y**2. Let v be z(1). What is v rounded to the nearest 100?\nAnswer: -6100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -331 - 20?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 15*f - 3. Calculate p(14).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, d: 3}. What is prob of sequence dl?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-200)\/880*33)\/(10\/28)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14074157\/472374 + 4865\/163. Calculate the common denominator of 101\/420 and b.\nAnswer: 28980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1240)\/(-12152))\/(85\/(-2618))\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 20*g**2 - 5*g - 8. Is 29 a factor of a(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*g**2 + 202*g - 130 = 0.\nAnswer: 1, 65\/36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -53*o**6 + 3*o**4 - 3*o**3 + 13*o**2. Let l(t) = -t**4 + t**3 + 1. Let x(r) = -3*l(r) - v(r). Find the third derivative of x(g) wrt g.\nAnswer: 6360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100103 + 1033?\nAnswer: 101202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -28 (c) 33335 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146504*k - 147963*k + 65655 = 0 for k.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -25.\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 3*z + 5 = 8, -4 = -z for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from {y: 5, v: 2, l: 2, o: 3}?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 1. Let c(v) = v - 26. Determine -c(d) + 5*l(d).\nAnswer: -d + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.946 - 0.046. Let j = -3.99 + y. Round j to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 9 = 0, 3*k - 1 = 4*k - 2*w for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 276 by 42.\nAnswer: 46\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.231781 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4 + sqrt(128) + 0 + sqrt(128) + (sqrt(128) + -1)*1 + sqrt(128) - (3 + 2 + sqrt(128) + -2))*-3)**2.\nAnswer: 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -14*f - 12. Let s be j(-1). Which is the fourth smallest value? (a) 3 (b) 1\/10 (c) s (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/354 and -48\/2537.\nAnswer: 15222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a gram in milligrams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/9, 2, 3\/4, 0?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a**3 - 14*a**2 + 14*a - 96. Determine t(5).\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -54585153*y - 42678827 wrt y?\nAnswer: -54585153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 3*p**5\/10 + 5*p**3\/3 + p. What is the second derivative of x(i) wrt i?\nAnswer: 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260.101 rounded to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11932945.\nAnswer: 5, 73, 32693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-3 - (-6 - (2 + -11))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 - 16. Is -2\/5 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by -6\nAnswer: 29\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6413*h - 37256. Give x(6).\nAnswer: 1222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**2*g + 117*f**2 + 111*f*g**2 wrt g.\nAnswer: f**2 + 222*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**3 - 2*v**2 - 10*v - 3. Let y be u(3). Which is the third smallest value? (a) y (b) 1 (c) -2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -13*z + 1. Let o be b(-1). Suppose -4025 = -o*s - 1519. What are the prime factors of s?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -9. Let v = -5 - 14. Let m = 23 + v. What is the third biggest value in 1\/2, j, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 19*i**2 + 2*i + 10. Let o(w) = 96*w**2 + 11*w + 50. Let h(n) = 11*c(n) - 2*o(n). What is the first derivative of h(p) wrt p?\nAnswer: 34*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 1 = -3*a - 34, -5*a + 55 = -3*t. Let z be (-3)\/(-36) + 1*t\/(-168). Sort 2\/5, -8, -6, z in descending order.\nAnswer: 2\/5, z, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 23*w**2 - 144*w + 21. What is k(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**(2\/17)*v))\/(v*(v\/v**(-1\/4))\/v))**(-49))**(-40) assuming v is positive.\nAnswer: v**(-45570\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 13*p - 15*p = 122, -2*p = -4*q + 98. What is the greatest common factor of 372 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1855 = -2*t - 2269, -4*s - 626 = 3*t. Put -3, 0.03, t in decreasing order.\nAnswer: 0.03, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5282*u + 9. Let a(j) = -3*j. What is a(y(w))?\nAnswer: 15846*w - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*b**2 + 188 + 20*b**2 - 1359*b + 265 - b**3 + 0*b**3 + 1364*b in the form w + u*b**2 + a*b + p*b**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 7:36 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.28, 4\/3, -4 in descending order.\nAnswer: 4\/3, 0.4, 0.28, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -71.55004 to 0 dps.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 446 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 9:01 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 14*z - 17*z - 33634, 4*l - 5*z = 67268. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/18 and -125\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(0*x - 2*x + 4*x) - 3*x - 2*x + 4*x + 28 - 23 + 2*x + 2*x.\nAnswer: 7*x + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -59, 0, -34\/5.\nAnswer: -59, -13, -34\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a centimeter in millimeters?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 11*x**2 + 2*x + 5. Let a(m) = -3*m**3 + 34*m**2 + 5*m + 14. Calculate -3*a(d) + 8*q(d).\nAnswer: d**3 - 14*d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18382 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 26 = x - 10 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47.987 + -0.013. Let r = 15 + p. Let k = r + 32.9. Which is smaller: -4 or k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 284*g**2*p*q**2 - g*p*q + 3*g*q + 5*g + 286*p*q**2 + 150*q**2 wrt g.\nAnswer: 568*g*p*q**2 - p*q + 3*q + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10.4 - -10. Let q = -6.6 + 7.6. Which is the closest to 0.2? (a) -0.3 (b) q (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 12 = 3*b, -2*b = -7*b + 3*v - 34 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((44\/847)\/((-6)\/(-21)))\/(3*(-38)\/171)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 - -53. Let l(i) = -x + 4 - i**2 + 5*i - 6 - 8*i. What is l(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(2\/17)*r\/r**(-14)*r*r*r**11*r**(3\/14) assuming r is positive.\nAnswer: r**(6925\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88652 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 21*w + 2. Let g(o) = 19*o + 1. Let j(s) = 4*g(s) - 3*v(s). Let a(n) = 6*n - 1. Calculate -7*a(d) + 3*j(d).\nAnswer: -3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 342*d**2 - 145*d**2 + 2*d - 100*d**2 + (-d + 4*d - 2*d)*(3*d - 3*d - 2*d).\nAnswer: -589*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -5. Suppose 130 = o*c - c + 2*a, -2*c + 2*a = -66. Suppose -5*n - 2*h = -c, 4*n + 7*h = 3*h + 32. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/(-126))\/((-4)\/18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (3 - 3) - (1 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 - 56. Let c = -1.1 - 2.8. Let d = -6.9 - c. Put -2, v, d in decreasing order.\nAnswer: v, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -2\/5 (c) -6 (d) 0 (e) 72 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-6) + 2535\/9. What is the common denominator of 2*(-1)\/24 - (-2 + (-453)\/(-108)) and (-6)\/279*m\/8?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 841, 3, -2 in descending order.\nAnswer: 841, 8, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144611628 and 24.\nAnswer: 289223256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 1233.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 - 19*p + 59. Calculate u(16).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - b**2 + 1. Let j be r(1). Let m = 11 - j. What is the greatest common factor of 90 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 1 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 969 and 2508.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*65729.\nAnswer: 6572.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 0) + (-25 - -19)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.037, 4, -0.2, 0?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-90))\/((-260)\/45 + 6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5962*a*f**3 - 6041*a - 30*f**4 - 102 wrt f.\nAnswer: 17886*a*f**2 - 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -572.1 + -2?\nAnswer: -574.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 7*r**2 + 2*r + 5. Let p(f) = f**2 + 68*f + 794. Let i be p(-15). Let o(b) = -b**2 - b. What is i*m(n) - 3*o(n)?\nAnswer: -4*n**2 + n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10758010643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 128694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 63320 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 44*c**2 - 46*c - 136. Calculate m(-43).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/138 and -70\/33.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 559 + -567. What is the hundreds digit of 1264 - f*15\/(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*h + 3*h**2 + 20*h + 0*h + 61 - 58 to m + s*h**2 + q*h and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1418 divide 3913285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**8\/3360 - h**7\/2520 - h**4\/4 - h. Let u(x) be the third derivative of y(x). What is the third derivative of u(g) wrt g?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150547879 < 150547880?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 15*x**2 + 15*x - 15. Let z(o) = -29 + 12*o + 2*o**3 + 19 - 3*o**3 - 7*o**2 + o**2 - 8. Let d be z(-8). Give w(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(81\/(-9))*1)\/(207\/(-18837)).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 11*y**2 + 1. Let l be z(-1). Suppose 3*k - l - 63 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3717*n = -3714*n. Put -3, 35, -5, n in descending order.\nAnswer: 35, n, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**3 + 17704*v**2 + 19554020*v - 78499600 = 0.\nAnswer: -2215, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4814792042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13380 divided by -5?\nAnswer: -2676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 62 - 56 - -161.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 4*n - 1. Let z be i(5). Suppose d = -2*o + 17, -z*d - 2*o = d - 61. Solve 0 = 3*l + 2 - d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3 = 17. Find the second derivative of 234*v**5 - 3*v - 3*v - 221*v**h wrt v.\nAnswer: 260*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 + 2)*(-3 + 2 - 3)*(0*b + 2*b - 3*b).\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 11:20 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12821.\nAnswer: 12821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -108*a - 10. Let k(h) = 115*h + 12. Let t(u) = -5*k(u) - 6*n(u). Let p(v) = 24 - 2*v - 24. What is p(t(q))?\nAnswer: -146*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 194*x + 17*x + 211 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + 0*x**2 + 2*x**2)*(-3 + 3 - 2*x**2) + (0*x + 0*x + x**2)*(-2*x**2 + 2*x**2 - 5*x**2).\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -95, 4, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-9))\/((-90)\/(-18))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -38 + 22c8?\nAnswer: 2290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-3) + 2\/(-3). Let g be (2 + -1)\/(2\/6). Solve z + g - 6 = l for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10674*z = -10665*z - 5571. Which is the second biggest value? (a) -4 (b) 0.2 (c) z (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -10. Suppose 5*z - 53 = -2*q, -o = 2*z - 13. What is the smallest common multiple of 12 and q?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 178*h**2 + 61*h + 4. Let x be l(-1). What is the greatest common factor of x and 18029?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from litlllllfhttt. What is prob of sequence ltf?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 3 - n + 0*n)*(-21*n - 2*n - 19*n)*(-3*n**2 + 7*n**2 - 2*n**2).\nAnswer: 168*n**4 + 252*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.6 - -7.7. Which is the nearest to 0? (a) m (b) 1\/2 (c) 5 (d) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/7*(-4)\/(352\/56)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 294 + 1c1?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -152? (a) -1 (b) -0.3 (c) 0.0032 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9123, 72843, 245743, 582399, 1137387?\nAnswer: 1965283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -7 - 4*a**3 - a - a**3 + 4*a**3 + 6*a**2 + 0*a**3. Let u be t(5). Solve 0 = 4*i - 5*z + u, 2*i = -0*i + 2*z - 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/((12\/(-8))\/1). Solve 4*s - n = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373*b**2 + 411*b**2 + 0*b + 0*b.\nAnswer: 38*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49\/2 + -24. What is the second smallest value in 5, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4565.944ml?\nAnswer: 4.565944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7039559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**4 + 5*u**4 - 2*u**4 - 2*u**2 + u**4 + 2*u**2 + (-3*u**3 + 0*u**3 + 2*u**3)*(44*u + u + 161*u).\nAnswer: -204*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*k + 102876409 - 17646409 = 0. What is k rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125, -129, -133, -137, -141, -145?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.042309 and 3?\nAnswer: -0.126927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -190*b**2*u**3*y**2 - 7*b**2*u**3*y + b**2*u**2*y + 5*b**2*u**2 + 2*b**2*y**2 + 2*b*u**3 wrt y?\nAnswer: -380*b**2*u**3 + 4*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*i + a, 2*i - i = 3*a - 7. Put i, -4, -2 in descending order.\nAnswer: i, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 29*z - 116. Calculate the remainder when l(11) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/68 and 187\/22200.\nAnswer: 377400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 18*r**2. Let g(z) be the second derivative of -z**4\/12 + 5*z + 3. Give q(g(l)).\nAnswer: 18*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 16*y**2 - 1. Let x be p(-1). Let d = -136.4 + 132.4. Put x, 3, d in descending order.\nAnswer: x, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125911214293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 89834100 to the power of 1\/3, to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7}. What is prob of picking 2 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10954 is divided by 219?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**4\/3 - 60544*i**3\/3 - 302666*i**2 - 3813376*i\/3 - 2965921\/3 = 0. What is i?\nAnswer: -60529, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -3*d - 6. Let s be d + (2 - (7 + -4)). Let t be 24\/s + 1 + 1. Let h(a) = -a**3 - 6*a**2 + 3*a + 9. What is h(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2 + 34*b - 1. What is u(17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 21*r - 36. Let d be w(19). What is the closest to -1\/4 in d, -0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**5\/10 + 2*l**3 - 28*l**2. What is the first derivative of s(k) wrt k?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 110*v**3 + 109*v**3 + 19 - 69 + 27.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366155173?\nAnswer: 16943, 21611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -1 + l**3 + 3*l**2 - 2 + 2*l + l**2. Let f(d) = 3*d - 5*d + 2*d + d + 2. Let h be f(-5). Give x(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -8 - w - 7814*w**2 + w + 13*w. Let h be z(8). What is h rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15620 >= -16342?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/116 + 1639\/580. Let g be (-2)\/21*-9*-28. What is the common denominator of r and (2\/g)\/(15\/860)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 20*p**3 + 17*p**2 + 7*p + 20. Let g(t) = -7*t**3 - 6*t**2 - 2*t - 7. Give 17*g(j) + 6*q(j).\nAnswer: j**3 + 8*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/1275862 and 23\/872273?\nAnswer: 85482754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1783 - 199?\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/270228 and -115\/168?\nAnswer: 540456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppbpuzbppvvcppp. Give prob of picking 2 p.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 832 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(-39)\/(-260)*(-10)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 61865 - -2?\nAnswer: 61867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + 1 + -14 - 13) + 80?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*n**2 + 2*n**3 - 13*n**2.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 19 = 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 18317.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*m + 2 = -4*a, -4 = 2*m. Suppose -50 = -a*g + 26. Suppose -3*j - 5*q + 4*q = -g, 2*q - 21 = -j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 27*n**2 + 46*n + 39. Determine z(-25).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/(-10) + 3\/((-60)\/8). What is the third derivative of -25*i**2 + 16*i**2 + 28*i**2 + 7*i**x - 29*i**5 wrt i?\nAnswer: -1740*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c - 1. Let j be (2\/4)\/(4\/(-48)). Let i be g(j). Suppose -y - 4*y - 2*x = -60, 53 = 2*y - i*x. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 4*k = 0, o + 336 = -3*k + 355 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -392719, -392560, -392401?\nAnswer: -392242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r + 7. Let w be g(6). Let m = 5 + w. Suppose 2*c - m*c = -104. Calculate the remainder when 101 is divided by c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3532721 a multiple of 332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 5*n - 0*n + 12, 0 = 4*l + 3*n - 20. Let j = 178 - 188. Let c be -2 - ((-1)\/(-1) - j\/(-2)). What is the highest common factor of c and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*p**3 + 0*p**3 + 5*p**3)*(3 + 6 - p - 6) as h + g*p + n*p**3 + r*p**4 + j*p**2 and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -19. Calculate the least common multiple of s and 1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*(-3 + sqrt(5)) - ((sqrt(5) + -2)**2 + 4)) - (((2*sqrt(450))\/sqrt(10))\/(sqrt(9)*-1*6))**2*4.\nAnswer: -29\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**2*m*m**(-2)*m**(2\/13)*m**(-1\/9)*(((m*m**5)\/m)\/(m\/(m*(m*m**3)\/m)))\/((m\/m**(-1))\/(m\/m**(2\/11))) assuming m is positive.\nAnswer: m**(11404\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 57 or -4383\/19?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**2 + 6*o - o**2 + 2 - 6*o - 11 in the form i*o**2 + k*o + a and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z - 2*i + 7, 3*z = 4*z + 4*i - 9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -18 - -3*(-1154)\/(-20)*1400\/20160.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 300 = -17*w. What is the remainder when w is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*b**4 - 2037*b + 2037*b + 3*b**3 + b**4 - 3*b**3 + (37*b - 20*b - 23*b)*(-2*b**3 + 0*b**3 + b**3).\nAnswer: -19*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11043 - 11047. Suppose 6 = 3*i - 5*i. Let h be (-32)\/(-114) - (-1)\/i. Which is the fourth biggest value? (a) -2 (b) 0.3 (c) u (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*h + 20. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 6. Let k be f(-3). Suppose 0 = 4*n - k - 9. Suppose 2*g + 3*d = 2*d + 207, n*g - 307 = 2*d. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**3*c**3*u - 18612*b**3*c**2*u - 2*b**2*c**2*u + 48*b**2*c**2 - 6*b*c**3*u - 2*b*c**2*u + 33*c*u wrt b?\nAnswer: 6*c**3*u - 111672*c**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-148)\/74*-2*3\/(-12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3969749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1\/8)\/(u\/(u**13*u)))\/(u**(-7\/4)\/u**2))**48)**(-30) assuming u is positive.\nAnswer: u**(-23940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32683 by -49.\nAnswer: -667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1888*n + 1860*n + 588 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1134028 and 5656.\nAnswer: 2268056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 3*u = -84, 21*q - 5*u = -6*u + 28 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**4\/12 - t**3\/3 + t**2\/2 - t. Suppose 36*r = -104*r + r. Let h be s(r). Calculate the greatest common factor of h and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21942048 and 6011520.\nAnswer: 438840960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -225*h**2\/2 + 26569*h\/2 + 12257.\nAnswer: -(h - 119)*(225*h + 206)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*q**4 - 22*q**3 + 10*q**2 + 6*q.\nAnswer: 2*q*(q - 3)*(q - 1)*(3*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-422 + 138 + 189)*(5 + 3 - 4)*((2 + 3*r - 2)*(-3 + 1 + 1) - 2*r + 6*r - 3*r).\nAnswer: 760*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9048181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -543919587*h - 3*h**2 + 543919587*h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 12:47 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20958.51 decades to millennia.\nAnswer: 209.5851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1713503807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -0.2, -3\/5, 95 in decreasing order.\nAnswer: 95, 0, -0.2, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 618311630 to the nearest integer?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b + -aa7d?\nAnswer: -aa72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/6*(-22)\/(9856\/7).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.03 - -0.27. Let x = -0.6 + r. Let c = 0.6 - x. What is the closest to c in 5, 1\/7, -3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**2 - 174*s - 2960. Let v be y(-15). What is the greatest common factor of 35 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and 4.4482.\nAnswer: 4.5482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -15, -279881 = -2*a + 431*l - 430*l. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**5\/60 + w**4 + 58*w**3\/3 + 545*w**2. Determine o(-17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 6669500?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1309 - -1953. Suppose -428 = -2*s - 2*m, -5*m + y = 3*s - 3*m. Calculate the greatest common factor of s and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 5*b + 7 - 41, 2*z - b - 18 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 5*t**2 - 3*t - 2. Let m be s(4). Let r be (-12)\/(m\/(-8)*6). Put 5, r, 3 in decreasing order.\nAnswer: r, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4 + 9 = -s, -20 = -5*y + 4*s. Solve 0*b**2 + 0*b + 0 + 2\/15*b**5 + y*b**3 - 4\/15*b**4 = 0 for b.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*f + 24. 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: -4946 divided by 7\nAnswer: -4946\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*x**3 + 540*x**2 - 270*x**2 - 270*x**2 + 405*x**3 + 293*x**3.\nAnswer: 542*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 74 - 59 = 0. Solve 0*y - y = -o for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000110732715 to seven dps.\nAnswer: -0.0000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000029008 rounded to six dps?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/60 and -129\/85090.\nAnswer: 510540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 10:46 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-65)\/(-39))\/((-10)\/(1200\/20))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/14 in 0.5, -46, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -62 > 3\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 18*t**3 + 6*t**2 - 16*t + 19. Calculate w(2).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 5*i**2\/2 + 188*i - 63. List the prime factors of v(-21).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 18 = 3*s. Suppose -2*r + 2*u + 16 = 0, -5*u = 6 + 9. Suppose -3*y + 3*z + 26 = s*z, -r*y = -z - 39. Solve -15 = y*l - 3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 divided by -8?\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m**2 + 3*m**2 - 5*m**2 + m**2 - m + 0*m**2 - 11 in the form t*m**2 + k + q*m and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 0*v**2 - 2*v + 0*v**3 + 4\/3*v**4 + 0. Does 16 divide l(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/19))\/g)**46 assuming g is positive.\nAnswer: g**(92\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25992 - 4275 + 16882 = -1937*n - 98928 for n.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 390, 4588, 16380, 39564, 77938?\nAnswer: 135300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18610723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1061*f**5 + f + 377 wrt f.\nAnswer: -21220*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u**2 + 42*u + 28. Calculate h(10).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*i**2 + 27*i**2 + 12*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 9*i**2 - 9*i - 4. Let p be q(-8). Suppose 13 = -p*j - 7. Let s = 716\/9 - 722\/9. Put 5, s, -4, j in ascending order.\nAnswer: j, -4, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*i - 19 + 27 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 q when two letters picked without replacement from qtbqxfxxbqx.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*u - 7*u - 109 - 587 for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20030 + 100221?\nAnswer: 20131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 807.31606 to the nearest 10.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 453*g = 449*g + 4684. Suppose 0 = 4*d - 0*d - 16, -g = -m - 3*d. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1350317986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.3 (b) 31 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1076, 1078, 1080, 1082?\nAnswer: 1084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 4*p + 116. Let c(u) = -u**3 - 4*u**2 + 11*u - 4. Let x be c(p). Solve w - x*k = 4, 3*w - 1 = 3*k + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**5\/20 + a**3\/3 + a**2\/2 + 2*a + 4. Let d = -109 + 111. Determine x(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-2 + 3 + sqrt(7)))**2 + (sqrt(21)\/sqrt(3))**2*2 + 4)*-2.\nAnswer: -292 - 64*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**8*u*u*u**(1\/12))\/(u*u**(-1)*u**17))**(-5\/6) assuming u is positive.\nAnswer: u**(415\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13627 + 2\/(-3 + (-7)\/(-7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1825 = -5*n - 5*g, -6*n + 2*g - 1825 = -n. Let x = n + 463. What is the remainder when x is divided by 36?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 78*j**2 + 9*j - 21. Suppose -8*u + 13*u - 8*k = 34, 5 = -5*u - 5*k. What is the hundreds digit of t(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(420)\/(sqrt(70)\/(sqrt(50)\/sqrt(5))))\/(5*(sqrt(60) - sqrt(2160))\/sqrt(5)).\nAnswer: -sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 187969661 to the power of 1\/3, to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.0279 - -1.2279. What is the nearest to 0 in 4, 1\/7, -5\/6, i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(1\/3))**(4\/17)\/(o\/((o**(-2\/7)*o)\/o))**(-23))**(-1\/43))**(-27) assuming o is positive.\nAnswer: o**(96021\/5117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 9*h = 21. Suppose -5*l - 126 + 15 = 3*n, h*l + 67 = -2*n. What is the tens digit of (140\/60)\/((-1)\/l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 10:01 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5572, 5260, 4948?\nAnswer: 4636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/11 (b) -3\/5 (c) 164\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2154 + 2153. Let h(u) = 16*u**3 + 8*u**2 - 8*u. Let q(y) = y**2 - y. Determine z*h(l) + 8*q(l).\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 365 divide 17443534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-98))\/((-4)\/(-16)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + 2. Let f(r) = -6*r - 11. Let s(v) = v**3 - 4*v**2 + v. Let n be s(3). Suppose -2*l - 65 = 3. What is l*x(o) + n*f(o)?\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**6\/180 + o**4\/6 - 4*o**3\/3 + 1. Let t(g) be the third derivative of l(g). What is the first derivative of t(u) wrt u?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/9 + -3)*15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 1 = 3*j. Let b = -36 + 40. Suppose 3*o + b*o = 0. Are o and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 3*f. What is the remainder when 39 - (0\/1 + 2) is divided by n(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 + -97 + (-73 - -204)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 1\/12*m**3 + 16 + 13\/4*m**2 + 169\/4*m. Factor l(d).\nAnswer: (d + 13)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**25\/t)\/t*t*t\/(t\/t**(7\/6)))**(-8\/9) assuming t is positive.\nAnswer: t**(-604\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.085? (a) 5 (b) 2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 1:29 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 1735 = 1765. Solve -x - 2 = a - 0*a, -10 = 4*a + q*x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c + 123. Does 16 divide f(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*g - 108*g - 113*g - 110*g + 432*g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5*a - 3. Suppose -t - 123 = -42*t. What is l(t)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f + 759 = 9*f. Let r = f + 56. Is (r\/26)\/(1\/(-4742)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120101 (base 3) in base 9?\nAnswer: -511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 367472 divided by 56?\nAnswer: 6562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*z = 4*i - 522, 5*i + 2*z - 1317 = 0. Does 45 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.5 + -5.5033. Round i to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40 + 0.44682.\nAnswer: 40.44682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/5 + 28048*x**3\/5 + 98420396*x**2\/5 + 589765296*x\/5 + 884269458\/5.\nAnswer: 2*(x + 3)**2*(x + 7009)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, e: 3, g: 5}. Give prob of sequence ge.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 5:32 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40648 is divided by 6564?\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19723, 18408, 17079, 15730, 14355, 12948, 11503, 10014?\nAnswer: 8475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 1. Let z(h) = 2*h**2 + 5*h - 2. What is 3*a(p) + z(p)?\nAnswer: 2*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1673.999 litres to millilitres.\nAnswer: 1673999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155717 is divided by 738.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -12815 = -12509?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4*(sqrt(2299) - (sqrt(2299) + sqrt(2299)*2 + sqrt(2299) + -4 + sqrt(2299))))**2 + 3*(sqrt(2299) + 1 + -2 + 1)**2.\nAnswer: -1759503 + 16896*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -788.90691 and 1.\nAnswer: -788.90691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57 and 1 + (1 - 1)*(-2)\/(-4)?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**9\/756 - q**5\/60 + q**3\/3 - q. Let c(j) be the second derivative of m(j). Find the second derivative of c(k) wrt k.\nAnswer: 80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -400, -7408\/21, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -31*o**7\/210 + 11*o**4\/12 - o**3\/3 - 31*o**2. Find the second derivative of i(s) wrt s.\nAnswer: -372*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.543904 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((728\/(-7644))\/(20\/7))\/((-2)\/(-6)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*r + 0*r + 21*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0809 + 0.2809. Let i = -59\/2 + 29. Which is the fourth biggest value? (a) k (b) 2 (c) i (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2567690420?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 360?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 627394?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 13, 15, 17, 19?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**5 - 17210803*s**4 + 27317637*s wrt s?\nAnswer: 40*s**3 - 206529636*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*l**3 - 714*l**2 + 429*l + 252 = 0. Calculate l.\nAnswer: -4\/11, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 39 = -4*y, 4*f - 23 = -2*y + f. Solve 0*x - 3*u - 29 = 5*x, -4*x + 2*u = y for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 1976 = 4*h - 4*y, h - 5*y = -490. Let u be (1*6\/h)\/9. Let c = u + 5119\/2970. Calculate the common denominator of c and -23\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/364)\/(-12)*-13.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*g**4 + 37*g**4 - 3*g + 70 - 24*g**4 with respect to g.\nAnswer: -16*g**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**3 - 4*j**2 - 29. Let z(i) = -2*i**3 - 5*i**2 - 30. Give -5*t(n) + 4*z(n).\nAnswer: 2*n**3 + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/(-20))\/3*-2)\/(28\/(-1750)*15).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10393, -20737, -31035, -41287, -51493, -61653?\nAnswer: -71767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**9*g\/((g**(-1\/18)\/g*g*g)\/g))\/(g*g**1*g)**11)**8)**22 assuming g is positive.\nAnswer: g**(-63272\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nwar when four letters picked without replacement from nnwnwwwtawr?\nAnswer: 1\/528","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 67*b = 65*b + 15, 2*b - 20 = 2*o. Put 5, -91, 0, o, -2 in increasing order.\nAnswer: -91, o, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 9:25 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7237?\nAnswer: 7237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0.3, -4, 2, -8.\nAnswer: -8, -4, 0.3, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-142)\/(-639))\/(((-2464)\/360)\/11).\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 8:26 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*o + 120 + 252. Calculate the remainder when 60 is divided by o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a - 70. Let x be z(-4). What is the tens digit of -9 + 2 - (-6 + x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -2\/55*j**5 + 1\/11*j**4 - 1\/33*j**6 + 0*j**2 + 0*j**3 - 32 + 0*j. Factor d(s).\nAnswer: -2*s**3*(s - 1)*(s + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 7*z + 3. Let v be s(-7). Let q be (-2)\/4*(-3 + v + 0). Which is the second smallest value? (a) q (b) -5\/2 (c) 125\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**(-14))**(-41))**34)**(2\/61))**24 assuming b is positive.\nAnswer: b**(869856\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, -1, -3, 2 in decreasing order.\nAnswer: 2, -1, -3, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4653*n**2 + 2840*n + 8. Let a(h) = -16280*h**2 - 9940*h - 28. Let v(k) = 5*a(k) + 18*x(k). What is the second derivative of v(y) wrt y?\nAnswer: 4708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/84 and 15\/4.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 4*p**2 - 3*p + 2. Let h be o(-3). Let a be ((-4)\/14)\/(105\/(-98) - -1). Find the third derivative of -h*d**4 + 0*d**2 + 5*d**2 - a*d**2 wrt d.\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498475 is divided by 34.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - -6. Suppose 2*d = b + 3*b - 10, 4*d - 4 = 2*b. Suppose -75 = 3*t - b*t. Calculate the highest common divisor of t and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -76) + (-8 - (-15 + 16)) + 15\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299)*-1 + 3)**2 + 6*(sqrt(2299) + 0) - (4 + sqrt(133)\/sqrt(7))*4*3.\nAnswer: -12*sqrt(19) + 2260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/4*8\/24. Let t(h) be the third derivative of 0 + 0*h - h**3 + 2\/15*h**5 + k*h**4 - h**2. Let a(o) = -15*o**2 - 11*o + 11. What is -6*a(s) - 11*t(s)?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -4795.\nAnswer: -4\/4795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*((sqrt(66) + (sqrt(66) - (1*2*sqrt(66) - sqrt(66) - sqrt(66) - sqrt(66))) - sqrt(66)) + sqrt(66)))\/(-4*-1*sqrt(384)).\nAnswer: -1 - 3*sqrt(11)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 1 - 7 = 3*l, 3*l - 5*z = -28. Let y be (0 - (-3)\/l)*-30. Solve 5*c - y = 5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*i + 37*i + 5*n = 22, 5*i = 4*n + 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 23\/24673?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -218*b*v**5 + 2*b*v*y**2 + 6*b*v*y + 6*v**3*y**2 - 14*y**2 wrt v?\nAnswer: -4360*b*v**3 + 36*v*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/208629 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -31. Suppose -k*i + 22*i - 20 = 0. Let m be 9\/i + 4\/10. Do m and 4\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/42 and -125\/168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12078373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 11*g + 31. Let n be t(-6). Let i(b) = -15*b + 5*b + 5*b + 6*b + n. Let f(c) = 4*c + 5. Calculate -f(r) + 6*i(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 964 = -101*x + 1671. Let z(m) = -9*m + 15. What is z(x)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 1149 - 2186 - 3672)*(2*x - 5*x + x)*(-4 + 6 + 0)*(-3 + 0 + 1).\nAnswer: -55976*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 3*k + 1. Let v be u(-4). Suppose 2*l + 12 = v*l. Suppose -2*j + n + 1106 = -n, l*n = -4*j + 2188. What is j rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - 42056 - 43991 = 0. List the prime factors of p.\nAnswer: 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 - 457505*t + 457500.\nAnswer: 5*(t - 91500)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -670556 divided by -12652.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137974*p = -275881*p + 137993*p - 1118 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27858549 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 340375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 13 - 25. Find q such that -22\/3*q**3 - 4\/3 + 26\/3*q**2 + 10\/3*q - 62\/3*q**m - 28\/3*q**5 = 0.\nAnswer: -1, 2\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + b - 87 = 0. Let y = -13 + b. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 0 + 0*a + 0 - a. Let y(h) = -h. Let c be (-5 - -4)*-3*1. Let p be (-3)\/3*(0 - c). Give p*y(i) - 2*d(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -101, -261, -471, -755, -1137?\n\"Answer: -4*u**3 - u**2 - 129*u + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*c + 2163, 4*c + 4276 - 15124 = 5*x. Let v = 4030 + x. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 3*h + h)*(0 + 2*h + 0)*(-1265*h**2 + 5380*h**2 + 1009*h**2).\nAnswer: -30744*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -3*j + 16, 0 = -2*j - 4*y - 4 + 28 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 14, -535, -11, -4 in ascending order.\nAnswer: -535, -11, -8, -4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 211*-1.1\nAnswer: -232.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -248.6 + 271. Let u = 22.399782 - n. What is u rounded to 5 dps?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z**2 - 6*z - 4. Let f = -5 - -8. Suppose -f*r + 14 + 13 = 0. Let t = r + -8. Let q(l) = l**2 + l + 1. Determine t*o(k) + 6*q(k).\nAnswer: 2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.9 - 5.933. Let g = 0.033057 + i. What is g rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8335, 16564, 24685, 32698?\n\"Answer: -54*i**2 + 8391*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*m + 4*m + 22 = 0, 2*m = -5*s + 19. Suppose -4*r = 4*v, 2*v = 4*v + r - s. Let o be ((-54)\/45)\/((-2)\/v). Solve -o*y - 4 = -y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -7, 0, -2\/3, 347, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 9:47 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - m + 11 = -14, -2*m + 10 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 193.5 - 1.5. Let w = n + -192.00107. Round w to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a hour in minutes?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 63*m**3 - 15*m - 15. Let q(h) = -8*h - 20*h - 14*h + 44*h - 9*h**3 + 2. Give 2*b(x) + 15*q(x).\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 30853 = 2*c, 21*c - 25*c - 20 = 0. List the prime factors of u.\nAnswer: 3, 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 260\/3 - 87. Put w, -4, -7\/2, -2\/11 in ascending order.\nAnswer: -4, -7\/2, w, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32141 + -31837. What is the highest common divisor of r and 4826?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/4)\/((-6)\/(-4))*-1. Suppose -3*y + 3*x + 789 + 2697 = 0, -v*y - 4*x = -4688. What are the prime factors of y?\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*d + 0*d = 61, 3*o - 4*d - 91 = 0. Suppose o - 131 = -2*v. Let c = v + -47. Solve 0 = -3*m - c - 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 477?\nAnswer: 476.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1025939400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - -0.027443173?\nAnswer: 9.027443173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10591, 42392, 95419, 169672, 265151?\nAnswer: 381856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 2:47 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.67 - 0.47. Let a = -0.8 - u. Let g = 4460 + -4461. What is the nearest to g in -0.04, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3906 - 3902. Solve 2*s + h*t = s + 10, t - 10 = -4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(1\/28)*i\/(i\/((i*i\/(i\/i**28)*i*i)\/i))*i assuming i is positive.\nAnswer: i**(895\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85\/((24\/(-108))\/(18\/(-81)))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -15. Suppose o*m + 2*m = 28. Solve 4 = 3*t - 3*d + m*d, 2 = 5*t + 2*d for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -4*y**2\/5 + 112*y\/5 + 384 = 0.\nAnswer: -12, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/14)\/y**34 assuming y is positive.\nAnswer: y**(-475\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qkpkpokkkpkxkxkpk. Give prob of sequence xpp.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17228 > 17222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*d + m + 3*m, 0 = 3*d + m - 13. Let h be 6 - -6*(-3)\/6. Let f be ((-16)\/(-24))\/(4\/126). Solve 4*u + d*c + 31 = h*c, 4*u + c + f = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1598545.\nAnswer: 5, 13, 24593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 59*q**2 - 44*q**2 + q**3 + 15*q + 18 - 2. Let w be o(-14). Solve 0 = 4*p - w*k - 11 - 7, 4*p = 5*k + 21 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8521 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5059?\nAnswer: 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1249760811?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -87 + 1303\/15. Let z be (1 + -1)\/(1 + 1). Let w = -0.11461 + 3.11461. Which is the second smallest value? (a) w (b) t (c) 2 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 - 37 - 54 - -12\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 15*f**2 + 15*f + 18. Calculate the least common multiple of q(-14) and (-24)\/5*((-68)\/8 - 4).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -13. Let n(u) = a - 10 + 2*u. Let j(d) = 9*d - 5. Let b(r) = -4*r + 3. Let i(k) = -5*b(k) - 3*j(k). What is n(i(w))?\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65e0 (base 15) to base 2.\nAnswer: -101010001010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 9*o - 7*o. Suppose -5*r = 2*b + 3 + 16, -3*b = o*r + 16. Let d = -85\/12 - -22\/3. Sort d, r, -1\/4.\nAnswer: r, -1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 968070 rounded to the nearest 10000?\nAnswer: 970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 173*w**2 - 2427*w + 1. Determine l(-16).\nAnswer: -1359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, -8, -186, -540, -1130, -2016, -3258?\nAnswer: -4916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.66 - -2.34. Which is the closest to 0? (a) 2\/103 (b) n (c) 1\/2 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5397, -5350, -5287, -5202, -5089, -4942, -4755, -4522?\nAnswer: -4237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 2*c = -8, -7*n = -4*n + 5*c + 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0174317 to 3 decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -486083594*f**3 - 86575757*f wrt f?\nAnswer: -2916501564*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -23*1 + (-180)\/(-16)*-16*(-7)\/(-84)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, t: 5, y: 8}. Give prob of sequence yyy.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -112037*g + 9747215. Give t(87).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**4\/5 - 331*h**3\/5 + 5104129*h**2\/5 + 30634879*h\/5 + 5106084 = 0.\nAnswer: -2428, -5, -1, 2103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x - 3. Let d be 16\/(-5)*25\/(-10). Calculate the remainder when 38 is divided by z(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2322 divided by 47930\nAnswer: -1161\/23965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**16\/v)**(3\/19)*(v*v*v**(-17))**(1\/25))**(2\/21) assuming v is positive.\nAnswer: v**(16\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1744863 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a week in seconds?\nAnswer: 25200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -692032289524 less than -8?\nAnswer: 692032289516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -142*g + 141*g - 106. Is -1 - 11\/(11\/g) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17364, -34692, -52006, -69300, -86568, -103804?\nAnswer: -121002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 36. Let y = v + -30. Which is the nearest to 2\/7? (a) y (b) 5 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43573, 43583, 43601, 43627?\nAnswer: 43661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 21 = -3*f + 9, f + 4 = 3*c. Let v be (2 - -1*(c - 4))\/(-1). Solve -n - v = 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17381744?\nAnswer: 2, 23, 149, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.38 + -0.4. Let u = 0.28 - d. Sort 0.5, u, 2\/7.\nAnswer: 2\/7, u, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 t when two letters picked without replacement from nnnntlncwntnnwnn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1599 a factor of 94721562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxnw when four letters picked without replacement from nxswr?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1213 - -3640\/3. Let w(b) be the second derivative of -1\/20*b**5 - a*b**3 + 0*b**2 + 1\/4*b**4 + 0 - 10*b. Determine x, given that w(x) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36580923*f*j - 57234973*f with respect to j.\nAnswer: 36580923*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 686294014 to the power of 1\/2, to the nearest integer?\nAnswer: 26197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 138*v + 654. Let w be x(-5). Which is the nearest to -9? (a) w (b) -2 (c) -1\/2 (d) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2)*4\/2. Let q be (f - -2)\/(-2 - -1). Let r be 0 + q + 0 + 2. Solve 0 = -v + 6 - r for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47 + 4.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/20 - 0)\/3.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/12936 and 33\/77420?\nAnswer: 5109720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 3. Let v be 3\/18 + (-2)\/3. Which is the second smallest value? (a) p (b) v (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-42))\/(((-48)\/(-176))\/(56\/44))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*(4*((sqrt(448) - -1*(sqrt(448) + -2)) + 3) + 1)**2.\nAnswer: -57390 - 1280*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d. Let t(v) = 3381*v + 3. Let z(q) = -1250952*q - 1109. Let s(w) = 1109*t(w) + 3*z(w). Calculate h(s(l)).\nAnswer: 6654*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9020127?\nAnswer: 3, 97, 139, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-2)\/(-10) - 6\/10.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1808*m**2 - 2100*m**2 + 1057*m**2.\nAnswer: -2851*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 30023132 (base 4) to base 2\nAnswer: 1100001011011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3823*891\nAnswer: -340.6293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12966*i + 48 = -12969*i for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**2 + 105*t\/4 - 27\/4 = 0.\nAnswer: -9, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011\/(-6)*(8 + -42) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 7085940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/9 - (-2176)\/6. What is the second derivative of 13 - s*o**2 - 11*o**5 + 2*o + 363*o**2 + 4*o**4 - 2*o**4 wrt o?\nAnswer: -220*o**3 + 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6253559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-220720)\/217)\/(4\/(-14))?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + sqrt(27)))**2 - (sqrt(324)\/(sqrt(225) + sqrt(9)) + sqrt(36))\/sqrt(12).\nAnswer: -7*sqrt(3)\/6 + 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x + 41. Let j be t(12). Suppose 0 = -3*a - 2*b - 11, -3*a - j*b - 11 = 3. Let s(g) = -g**3 - g**2 + 2*g - 4. What is s(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -194 - -193.9. Which is the closest to -0.2? (a) r (b) 0 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2782\/23 or 51\/2?\nAnswer: -2782\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 54, 44, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (((-7)\/(-1))\/(-7))\/(1\/1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 10:55 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25.3 - -1.1. Let z = u - -26.5. What is the closest to -2\/3 in 0.4, z, 3\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - (-2)\/((-2)\/2). Is n\/30 + (-532)\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18653 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 31*s**2 + 27*s - 74. Let r be 2\/7 + -318*2\/21. Let v be u(r). Solve -9 = -7*o - v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*c = -1741 + 1849 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3406\/7, 3\/5, 15 in descending order.\nAnswer: 3406\/7, 15, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0 + 20 = 0. Let i be 19 - (-4 + 4 + 4). What is the greatest common factor of i and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -352.2 and 0.5?\nAnswer: 352.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (-4)\/(4\/1). Suppose -4*h = -9*h + 15, 5*h = i + 12. Put i, n, -4 in increasing order.\nAnswer: -4, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -7.48?\nAnswer: -7.48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -426*j + 435*j - 2*a, j + 6 = -2*a. Calculate the remainder when (63\/4)\/(3\/8) is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -550 + 1056. Let m = g + -132. Is 22 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven tenths of a hour?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124 - -63 - 0\/(-1*1).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 7:10 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 342 divide 5151385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 1409720?\nAnswer: 1409720.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 10. Let i = 8 - x. What is the nearest to 1 in 5, i, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -34, -96, -212, -400, -678, -1064?\nAnswer: -1576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 1 = -2*h - 13, 0 = -3*h + 8*u - 21 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106 and 57187?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34\/1235 + 12\/95. Put -3\/7, -4, y in decreasing order.\nAnswer: y, -3\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53\/5 + -11. What is the biggest value in 0.2, l, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 499533 to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q - 6*q + 2*q as z + h*q and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssrsrrssssssssssr. Give prob of picking 3 r.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -643*i**2 + 3 - 472*i**2 + 165*i**2 - 5 to the form d + p*i + n*i**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5456122678 less than -0.3?\nAnswer: 1.2456122678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 4*h**2 + 4*h - 1. Let w be ((-55)\/33)\/(14\/6 - 2). Let q(g) = -g**2 + 5*g - 6. Let s be q(4). Let b be (-1)\/((-2)\/w)*s. Give m(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 3 = -197*v - 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -892*o**5*r + 17*o*r - o - 5*r wrt o.\nAnswer: -17840*o**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 - 13*z - 10. Let b(n) = n**2 + 13*n + 22. Let u be b(-12). Suppose 0 = -0*j - j + u. List the prime factors of y(j).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 9*m - 6. Let p be t(-8). Suppose -2*h = 2*w - 4, -w + 30 = p*w - 5*h. Solve 6 = -w*a + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**3 - 73302*t**2 - 447765267*t = 0. Calculate t.\nAnswer: -12217, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a697c (base 15) in base 12?\nAnswer: 123b8a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 6*i**3 - 9*i**2 - 5*i. Let s(w) be the second derivative of w**5\/4 - 2*w**4\/3 - 2*w**3\/3 - 31*w. Determine 4*k(c) - 5*s(c).\nAnswer: -c**3 + 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 2*y + p, 4*y + 3492*p = 3495*p - 78 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - m**2 + m + 1. Let d(r) = 18*r**3 - 16*r**2 + 4*r + 6. What is -d(i) + 6*z(i)?\nAnswer: -12*i**3 + 10*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 378*24819\nAnswer: 9381582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19693801 plus 48726?\nAnswer: 19742527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 77461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 124069, 126721, 129373?\n\"Answer: 2652*z + 121417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/1902 - -1271\/5706. Factor -i*h**4 - 16\/9*h + 2\/9*h**2 + 8\/9 - 2\/9*h**5 + 10\/9*h**3.\nAnswer: -2*(h - 1)**3*(h + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/15 - (-114)\/(-855)) + (-6)\/14.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 167 divided by 3\nAnswer: 167\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d**3 - 41*d - 9*d**3 + 41*d.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m + 63*m**2 + 53*m**2 - 43 - 115*m**2. Calculate the remainder when 271 is divided by l(-7).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4*(-20)\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 10:54 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 0.2, 4, -2, 7\/6, 3 in decreasing order.\nAnswer: 4, 3, 7\/6, 0.2, -2, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -441, 2\/13, -52, 0.1, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 25811639 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.94262 + 8.063. Let d = -92.71038 + b. Let o = -93 - d. Round o to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24581.52 rounded to the nearest one hundred?\nAnswer: 24600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 47 = 198. Let c(j) = -j + 9. Let t be c(5). Suppose 2*v - m = 15, 0*v + 5*m - 23 = -t*v. Calculate the greatest common divisor of v and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106905897.465 + 37?\nAnswer: 106905934.465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18845, 37803, 56883, 76085, 95409?\nAnswer: 114855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 j when two letters picked without replacement from zoozbvxvjxzo?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24627 divided by -1.\nAnswer: 24627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.040155 times 0.07191?\nAnswer: -0.00288754605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 4*z**2 + 3*z + 3. Let g be i(3). Let o be ((-4)\/(-3) - 1) + 60\/36. Determine u so that -20*u + 12*u**3 - 16*u**o + 8 + g*u**2 - 3*u**2 = 0.\nAnswer: -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -77?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 4:53 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g - 22. Calculate w(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a\/(a\/((a\/a**(-17))\/a)))*a*a**(3\/10)*a assuming a is positive.\nAnswer: a**(-137\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 145597, 145660, 145723, 145786, 145849?\n\"Answer: 63*i + 145534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.395801 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p + 19. Let j(g) = -7*g - 24. Let r(a) = -4*a**3 - a**2 + 10*a - 9. Let i be r(1). Let w(q) = i*j(q) - 5*m(q). Determine w(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, g: 2, c: 1, f: 2, l: 4}. What is prob of sequence ga?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15479 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -11 - 1) + -2 + -16.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 90 = 4*z. Let r(t) = 8*t - 12 - 14 - 5*t. What is the least common multiple of r(14) and z?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -254*n**3 + 1327*n**2 - 608*n + 82. Let b(y) = -170*y**3 + 885*y**2 - 405*y + 55. Let k(u) = -7*b(u) + 5*m(u). Factor k(g).\nAnswer: -5*(g - 5)*(4*g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.825 + 9. Let h = a - -7.725. Round h to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (0 + 2)*-4. Let u(i) = -1 - 7*i - 2*i**2 - 6*i**2 + v*i**2. Calculate the remainder when 21 is divided by u(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -416381*k + 416381*k + 13*k**3 + 53*k**3.\nAnswer: 66*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/16713 and 5\/9.\nAnswer: 16713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k - 2. Let a be b(-3). Let p = -2249 + 2255. Suppose -d + p*d = -5*f - 295005, a*d = -f - 59004. Round f to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*w + 84 = 59*w. What is the tens digit of w\/18*-12*(-15)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5272 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*1 - (-113 - -115).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-10)*8*-1. Suppose -y + 5*d = -7 - 18, -3*y = -g*d - 53. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 957 is divided by 80.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1333.4478ms in minutes?\nAnswer: 0.02222413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - o + 378 = 0. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - p + 4 = 0, -25*a = -27*a + p + 12. Let t be ((-6)\/a)\/(24\/(-32)). What is the nearest to -2 in 0.3, 13, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.688? (a) -1 (b) -0.04 (c) 0.5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6360205 + 0?\nAnswer: -6360205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (5 - (3 + 2 - 9 - -6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*v + 4*j = 60*v - 38, 3*v + j + 27 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4972463266 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 203460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 435 and 49170.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 299 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3234 and 294?\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 175*p**4 + 3258830*p**3 - 453426460*p**2 + 51405160*p + 51777600 = 0. Calculate p.\nAnswer: -18760, -2\/7, 2\/5, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -1\/2*b**3 + 1\/2*b**2 + 9 - 1\/20*b**5 - 2*b + 1\/4*b**4. Let t(s) be the first derivative of n(s). Calculate t(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.32 + 4.65. Let t = 0.42 + s. Round t to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -7 + (4 - 4 - -9).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -65417877.33 to the nearest 10000.\nAnswer: -65420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*4*(1*-1*sqrt(637) + 1))**2.\nAnswer: -224*sqrt(13) + 10208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -183493, -366975, -550457?\n\"Answer: -183482*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 27 = 4*v, 6 = 5*v - 0*k + 3*k. Suppose 0 = -5*b - v*r + 402, -4*b + 328 = -3*r - r. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*g = -1183, -3*i + 5*g = -0*i - 880. Suppose -39 = 2*y + 2*n - i, 4 = 4*n. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2519918?\nAnswer: 2, 173, 7283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65 or 449\/7?\nAnswer: 449\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 0. Let r be j\/(1\/(-2) + 1). Suppose 0 = -3*s - r*p - 2*p + 39, 3*s - 36 = -3*p. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-21)*-7*69\/184\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 56*r + 704.\nAnswer: -4*(r - 22)*(r + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177927440.\nAnswer: 2, 5, 17, 130829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**5 + 5*b**5 + b**5 - 5*b**5 + 2*b**5 + 2*b**5 + (-6 - 12*b**2 + 6)*(4*b**3 + b**3 - 3*b**3) - 2*b**5 + 7*b**5 - 3*b**5.\nAnswer: -21*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, b: 1, t: 4, h: 1}. What is prob of sequence tht?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2268 + 6102. What are the prime factors of p?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000145237 rounded to 6 dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 116.1672 months?\nAnswer: 0.0096806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 170583 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 884160 is divided by 55260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 14) in base 3?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/((-100)\/(-9)))\/((-3)\/30).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, 401 in increasing order.\nAnswer: -6, -4, 401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/(-24))\/(2\/32))\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2211000112200101 + -12?\nAnswer: -2211000112200120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 16565, 16119, 14987, 12827, 9297, 4055, -3241?\n\"Answer: -57*a**3 - a**2 - 44*a + 16667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -42, -31, -6, 39, 110, 213, 354, 539?\n\"Answer: k**3 + k**2 + k - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63723872 to the power of 1\/2, to the nearest integer?\nAnswer: 7983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2712)\/54 + 2\/9. Let v = l - -86. Let r be (15 - 2\/(-2)) + 2. What is the highest common factor of r and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3\/10, 2.4, -8647.\nAnswer: -8647, 3\/10, 2.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -2\/21, 53, -0.4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 4.079236 kilograms?\nAnswer: 4079236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + (-20 - 15) - (4 - (-3 - 17)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -80, -211, -406, -671, -1012, -1435, -1946?\nAnswer: -2551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(320) - (sqrt(320) - (sqrt(320) + 2))) + sqrt(320) + -1*(sqrt(320) + 1) + 6*(sqrt(605) - (sqrt(605)*-1 - sqrt(605)))*4 + 1)**2.\nAnswer: 3200*sqrt(5) + 3200004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gsn when three letters picked without replacement from nnnngggngsg?\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 9*q**2 - 12*q - 16. Let f be y(11). Suppose c = 3, 2*c + f = 4*p - 8. Calculate the remainder when p is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*d + 4*d**2 - 11*d + d**2 - 1 + 1 + (2 - 2 - d)*(2*d - 6*d + 2*d) - 3*d**2 - 4*d**2 + 6*d**2 - 3*d**2 - 2*d + 2*d - 19*d**2 - 323 + 323.\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 102 - 8*a**2 + 0*a + 8\/3*a**3 + a**4 - 2\/5*a**5. Factor s(g).\nAnswer: -2*g*(g - 2)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 10*p + 88. Let c be k(-8). Solve -2*f = 3*f, 2*q = 5*f + c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34866091853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710953 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1704?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k + 5. Let y be (-4 + (-144)\/(-28))\/(-3*(-6)\/63). Calculate b(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6*u**3 + 8*u - 8. Let a be 289\/(-34) + 7\/14. Let v(w) be the second derivative of -w**5\/10 - w**3\/2 + 3*w**2\/2 + w. What is a*v(o) - 3*z(o)?\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 14)*15\/(-12)*-21. Suppose 2*c - p = -c. Suppose 7*u = 4*u + c. What are the prime factors of u?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -983561365 - -0.7?\nAnswer: -983561364.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -22002313313 (base 4) in base 2?\nAnswer: -1010000010110111110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + 38 - -17 - 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r + 4*x - 23 = 27*r, 16 = -4*r - 2*x. Which is the third biggest value? (a) 1\/3 (b) -3\/2 (c) -34 (d) -0.11 (e) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (6 - 3)) + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 87475744 and 3208?\nAnswer: 87475744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f\/(f**9*f))\/f*f*f)\/f**(1\/2)*(f\/f**5)**(5\/9) assuming f is positive.\nAnswer: f**(-157\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 7. Let b = 4 + 10. Let i = f - b. Solve -5*a + 3*t + 12 = i, -t - t = -5*a + 13 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 64296*n - 78338*n + 0 to the form b + t*n and give t.\nAnswer: -14042","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(1*sqrt(1368) + sqrt(1368)) - sqrt(1368))*2)\/(2*(sqrt(162) + sqrt(2) + (sqrt(2) - (sqrt(2) + sqrt(18) + sqrt(2)))*4)).\nAnswer: -11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 724248 and 594?\nAnswer: 7966728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 22021 (base 3) to base 4\nAnswer: 3133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**3 + 6*c**2 + 10*c - 3. Let z = -15 + 19. Let a be f(z). Solve 0 = -0*u - 3*u + 6, 5*u - 35 = a*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3827514*v + 1522454 wrt v?\nAnswer: 3827514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 0 = 42. Let k(b) = 3*b**2 + 3*b - 20. List the prime factors of k(n).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*s**3 - 137286*s**2 - 357063*s + 164790.\nAnswer: 3*(s - 9155)*(s + 3)*(5*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157, 156, 155, 154?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1)*r)**(19\/4))**(22\/3) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 3*z - 2. Let f be k(3). Calculate the remainder when 20 is divided by (1 - f) + 7 + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 13, 3, 101, 4 in decreasing order.\nAnswer: 101, 13, 5, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5427, -5429, -5431?\nAnswer: -5433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 + 52. Suppose -d*g + g = -3802. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 413 and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 0, 1, -2403, -5 in decreasing order.\nAnswer: 26, 1, 0, -5, -2403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6852 + 7682. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -77.\nAnswer: -13\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613*21\/((-462)\/(-1034)) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i - 5. Let x(q) = 1759997*q. Determine x(t(p)).\nAnswer: 1759997*p - 8799985","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*f**2 + 17*f**2 - f**2)*(-10*f + 5*f + 6*f) + 3*f**2 - 3*f**2 + 2*f**3.\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -4. Let m be (-85)\/(-15) - (-2)\/h. What is the second biggest value in 0.4, m, -2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1322.\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1.787 (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/16340 and -155\/14934.\nAnswer: 6421620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(12\/(-3)) + -1. Let w be 1\/(-10) + ((-602)\/(-70) - 8). Let 0*f**3 + w*f**2 - 1\/2*f**4 - 1\/4*f + q + 1\/4*f**5 = 0. What is f?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -809, -38.\nAnswer: -809, -38, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 161294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*a + 96*a**2 - 1391*a**5 + 12*a - 96*a**2)*(2 - 1 + 0).\nAnswer: -1391*a**5 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -372 + 1400 - m - 348 - 343 - 337 + 2*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + 132204007?\nAnswer: 132204001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 - ((-21 - -3) + (19 - -1) + (-319 - -311))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(-b + 0 + 0)*(-79*b - 30 + 29 - 136*b) + (-3*b - b + 0*b)*(-b + 1 - 1).\nAnswer: -426*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -10*r - 42. Let y be u(-13). Let p = y - 60. Calculate the highest common divisor of 14 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.9988945 plus -379?\nAnswer: -369.0011055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 335533 - 671069 - 2*u + 335536.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 77*d - 1. Let h be b(1). Let s be (-8 - -4)*h\/(-16). What is the second derivative of -9 + s*v + 9 + 19*v**4 wrt v?\nAnswer: 228*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -685, -1338, -1991?\n\"Answer: -653*n - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(6\/5)*u*u**(-6)*(u**(2\/5))**(5\/11) assuming u is positive.\nAnswer: u**(-199\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/96 and 79\/18?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (162*f + 204*f + 404*f)*(-3*f**2 - f**2 + 5*f**2) + 2*f + f**3 - 2*f + (f + 0*f + 3*f)*(-f**2 + 6*f**2 - 3*f**2).\nAnswer: 779*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2. Let v(d) = 12*d**2 + 3*d - 3. Let f(b) = -84*b**2 - 20*b + 20. Let w(a) = -6*f(a) - 40*v(a). Give p(w(k)).\nAnswer: 576*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/11*o - 2\/11*o**2 + 0.\nAnswer: -2*o*(o + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 5*b**2 + 2*b**2 - 4*b**2 - 2*b**2. Let n be h(-2). Find the first derivative of -1 + a**3 - 2*a**3 - n wrt a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5957 and 5957.\nAnswer: 5957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40338 and 11502.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**3 + 27*g**2 + 8*g. Let n be y(14). Let l be (366\/(-77) - 48\/n) + 4. Which is the closest to 1? (a) -0.2 (b) 0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*y - 1)*(-6*y + 35*y - 2*y) - y**2 + 10*y**2 - 4*y**2 + 6*y**2 + y**2 as a + z*y**2 + p*y and give z.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-7) - (-17232)\/(-38640). Let n = 1402\/1265 + q. Put -0.2, n, -1 in ascending order.\nAnswer: -1, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -229114, -458318, -687522, -916726, -1145930?\nAnswer: -1375134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 + 143 - 31 - (89 + 0 + -1).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 3*m - 37 + 126, -3*q + 4*m = 65. Let l(k) = -38 - 37 + 112 + 9*k + k**3 + 20*k**2 - 38. Is 9 a factor of l(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7493.466 decades in months?\nAnswer: 899215.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53 - 118. Let f be (-4)\/8 + m\/2. Let l = f + 55. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 189469 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g. Let d(v) = -411315*v. Give r(d(u)).\nAnswer: 822630*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -15. Is 2\/(-4)*(-775 + (-6 - f)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00028844 to five dps.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 1681*j**5\/5 - 48831*j**4\/5 + 328493*j**3\/5 + 360607*j**2\/5 - 18174*j\/5 + 224\/5 = 0.\nAnswer: -1, 1\/41, 14, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*z**2 + 62*z + 16*z**2 - 110*z - z**4 + (2*z + 2*z - z)*(4 - 2*z**3 - 4) as t*z**2 + o*z + a*z**3 + i*z**4 + m and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 439.1 + -439.09584. Round l to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45048, -90059, -135070, -180081, -225092, -270103?\nAnswer: -315114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 188053341 + -660476\nAnswer: 187392865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4196 - -4861. Put s, 0.4, -0.2 in ascending order.\nAnswer: -0.2, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**4\/2 + 115*a**3\/2 + 723*a**2\/2 + 373*a\/2 - 605 = 0.\nAnswer: -5, -2, 1, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1.74013 - -10\nAnswer: 8.25987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -3*s - 18. Let q = 10 + s. Calculate the remainder when (q\/(-5))\/((-8)\/60) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c + 0*c - c + (4 + 2 - 4)*(-3*c + 3*c + 2*c) - 2*c - 1 + 1 + 3*c - c + 0*c + (2*c + 0*c + 815 - 782)*(-3 + 11 - 10) to the form b*c + a and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3972.405 years to decades.\nAnswer: 397.2405","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.7 - 1.3. Let x be (1 + -2)\/(135\/108 - 1). Let u = -3386\/207 + 148\/9. Which is the closest to u? (a) d (b) 1\/2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45770121 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6829593*i**3*j**3 + 24829*i**3*j - 6*i**3 - i**2*j**3 + 24*j**2 wrt j?\nAnswer: -40977558*i**3 - 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10725105 at least 10725104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -31) + 115620\/(-4182).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1787 - 2 - 1698 - 609 + 731)*(-c + 3*c + 0*c) to the form g + j*c and give j.\nAnswer: -6730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 8*t**2 - 12*t. Give k(-9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from foojooffohjffhfhfh.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 115.91 rounded to zero decimal places?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-27))**(-2\/49) assuming k is positive.\nAnswer: k**(52\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**5\/2 + 165*i**4\/2 + 4283*i**3\/2 - 46965*i**2\/2 - 25542*i = 0. What is i?\nAnswer: -129, -44, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33 - 65?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*k - 159 = 59*k + 177 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 3 + 1\/2*h**3 - 3\/2*h**2 - 1\/12*h**4 + 0*h. Let r(q) be the second derivative of g(q). Give r(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1201011010 (base 3) to base 16\nAnswer: 836d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y - 10*y - 35*y**2 - 1 + 36*y**2 + 11*y. Let x be 10\/35 + 12\/7. Calculate h(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 184*p + 182*p = 5294, -p = 3*u - 3963. Which is smaller: u or 1325?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, z: 4, b: 7}. What is prob of sequence bzz?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 51 = 5. Suppose 4*h - t = 8. Solve -4*f + a + 3*a = 4, h*f + 2*a = -4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -2) + -3 + (-4 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*c - 656 = 5*o, 2*c = 3*o + 485. Let d = 94 + o. Let y = d - -118. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-12)*-2*12. Let m = 42 + y. What is the greatest common divisor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i - 77 = 147. Calculate the least common multiple of i and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**3\/(z\/(z\/(z**(-2\/11)\/z)))*(z**(2\/7)\/z*z)**(-28)*(z**6*z*z**0)\/(z**(-2\/5))**42 assuming z is positive.\nAnswer: z**(1099\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2779*r = 2776*r + 4*a - 27, 7 = 4*r + a - 14 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -5 + 0 + 4 + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 13*p + 6. Let i be f(-5). Let t = 102 + i. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 10:06 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119, 241, 365, 491, 619, 749?\nAnswer: 881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s + 1 - 1 + (1 + 1 + 3)*(-6*s - 8 + 8).\nAnswer: -28*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 4, -2\/9319, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**3\/19 - 28*p**2\/19 - 30*p\/19 = 0.\nAnswer: -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 685343675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**2\/3 - 1850*x\/3 - 12901\/3 = 0.\nAnswer: -1843, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-6) + (-1)\/(-3). Let j be (25\/(-10))\/i*-2. Let y be (j\/(-20))\/((-1)\/(-8)). Which is smaller: 4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 11*y - 13*y. Suppose 0 = y*t - 4*o + 36, -5*o + 10*o - 49 = 3*t. What is the lowest common multiple of 6 + (-1)\/2*t and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2231)\/(-46))\/(7\/6 + -1). Suppose 0 = -3*d + 4*d + 5*s - 291, k = d - s. List the prime factors of d.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s + 13. Let r(f) be the first derivative of -2*f**2 + 13*f + 793. Determine 6*d(l) - 5*r(l).\nAnswer: 2*l + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 300462624 and 132?\nAnswer: 300462624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49781187?\nAnswer: 3, 5531243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 106\/5 + -328\/15. Let h = 1 - -1. What is the nearest to h in 1, 5\/4, u?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fambmkb. Give prob of picking 1 a and 1 m.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from rcullcc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 376*f + 3. Is r(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.03 - -0.03. Let i(v) = -v - 4. Let j be i(-6). Suppose j*l = 1 - 7. What is the nearest to d in 4, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/9*(-9)\/4. Let m = 2 + c. What is the remainder when 21 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = -4*i + 40. Let y = -7 - i. Which is the third smallest value? (a) 11 (b) -1\/5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 520?\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + (sqrt(45)*4 - -2*sqrt(10)\/sqrt(2))*-5)**2*4 + 4.\nAnswer: -196196 - 5600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -629*p**2 - 102*p + 204. Let k(m) = -6*m**2 - m + 2. Let n(d) = 102*k(d) - t(d). Let i(h) be the second derivative of h**3\/3 - h. Calculate n(i(z)).\nAnswer: 68*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(30)\/(sqrt(5)*-4)) + -4 + (sqrt(33) + sqrt(33)*-6)\/sqrt(11)*-2*-5.\nAnswer: -54*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 18 = 2*d, -21*f + 19 = -24*f - d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xonb when four letters picked without replacement from {o: 1, x: 2, n: 3, m: 1, b: 3}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -118887143, -118887144, -118887145, -118887146, -118887147, -118887148?\n\"Answer: -g - 118887142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -6*i**2. Let q(o) be the third derivative of o**4\/8 - 9*o**2. Calculate v(q(y)).\nAnswer: -54*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52 - (-72 + -48)) + -18?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-20))\/(12\/144)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*g - 1 + 1)*(1 + 1 + 1) + 0*g + 0*g + g)*(-6*g + g + g) in the form o + k*g + s*g**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72 + 71.065. Let y = l + -0.065. Put y, 5\/7, 1 in increasing order.\nAnswer: y, 5\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 27, -5, 0, 2\/11?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1535 - 7671\/5. What is the smallest value in i, 0, -0.02, 3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-52))\/((-8)\/(-26)). Which is the closest to 0? (a) -2\/69 (b) -0.4 (c) 1\/7 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zwkzz?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 360286 times -0.066\nAnswer: -23778.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*s - 527 + 90. Calculate the remainder when 1261 is divided by s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 133, -0.2, -1.1, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/7 + 74*3\/42. Suppose 5*z + 40 = 5*s - 0*s, a*s - 3*z = 36. What is the greatest common divisor of s and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j. Let h(d) = 31*d. Determine h(c(s)).\nAnswer: 31*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 207, 419, 783, 1305, 1991, 2847?\nAnswer: 3879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 108. What are the prime factors of l?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 10*g**2 - 18*g + 11. Let r be m(-8). Let s = 47 - r. Solve -2*t - 3*t = s for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 - 11*y + 9668. Let b(z) = -z**2 + 5*z - 4833. Give -9*b(c) - 4*m(c).\nAnswer: c**2 - c + 4825","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/5 - 1983646*o**2\/5 - 31737952*o\/5 - 126951296\/5.\nAnswer: -2*(o + 8)**2*(o + 991807)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -d**4\/26 - 2*d**3\/13 - 3*d**2\/13 - 2*d\/13 + 25. Factor m(s).\nAnswer: -2*(s + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 2 + 4*o - o - 6.\nAnswer: 3*o - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/52140 and -13\/86900.\nAnswer: 260700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3*(-2*sqrt(39) - sqrt(39)))\/sqrt(3).\nAnswer: 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21201755?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.29, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 + 54926 - 54926.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -4*x + 19*x + 160 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -1\/30*m**6 + 0*m**5 + 0*m**4 + 0*m + 5\/6*m**3 - 3*m**2 + 0. Differentiate x(j) wrt j.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.44530507 less than -265748?\nAnswer: -265747.55469493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5 = 11. Let s be (-2)\/13 - (-11)\/(1287\/252). Differentiate -5 + 3*t**s - t**k - t**2 + 2 with respect to t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 870 = -4*h, 3*n - h - 894 = 3*h. Let u = -36 - n. Let s = u + 134. Round s to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2483?\nAnswer: 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3) + (-1388)\/(-6). Let c = t + -79. Suppose -4*l = -24 - c. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y + y + 32 - 19*y**2 - 32.\nAnswer: -19*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 1 = -2*v, -3*x + 2*v + 11093 = 0. Suppose 0 = 5*m - 2*o - x, -m + 721 = 2*o - 7*o. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (127 - 121) + (-7 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ppppsssspppspssspsp?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2100) + (5*sqrt(2100) - sqrt(2100))*2)*-3)\/(sqrt(15)\/(sqrt(5)*1) + sqrt(21)\/sqrt(7)*5))**2.\nAnswer: 14175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 12:46 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**4 + 5*g**4 - 4*g**4)*(4*g - 2*g + g) + (-2121*g**3 + 573*g**3 - 101341*g + 101341*g)*(-3*g**2 + 3*g**2 + 2*g**2).\nAnswer: -3102*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-1))\/(178\/(6034022\/311))?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3475 - -0.311. Let f = v + 0.1365. Let t = -9 - -5. Sort -0.1, f, t, 0 in decreasing order.\nAnswer: f, 0, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1162 and 53\/2656.\nAnswer: 18592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 110*4\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 4*h - 2*h - 3*p, -4*h + 32 = 3*p. Let g be 5\/33 - (-2)\/h. Let l = 61\/3 - 21. Which is the smallest value? (a) l (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 490724 and 166270?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**0*r)**(-50)\/(r**(-1\/8)*r*r**5))\/(((r\/(r\/r**(-1\/4)))\/r)\/r*((r*r**2)\/r*r)\/r*r*r*(r*r*r**(-3\/7)*r)\/r**0) assuming r is positive.\nAnswer: r**(-6171\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 109 - 13. Suppose q = -16*g + 24*g. Solve 3*o + g = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 11*b**3 - 6*b**2 - 6. Let p(u) = -22*u**3 - 7 + 11*u**2 + 5 + 6 + 7. What is -6*p(h) - 11*z(h)?\nAnswer: 11*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -50059*c*z**2 + 144*c - z**2 - z - 115 wrt z.\nAnswer: -100118*c*z - 2*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 14) in base 8?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 20*u**2 - 20*u - 25. Let c be w(-21). Let x = c + 95. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 5*i - i. Let d = 10 + -9. Let a be d\/(-2 - -3) + 41. Calculate the greatest common factor of a and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 3*n - 44, -4*n = n - i - 92. Calculate the highest common divisor of n and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -r**7\/504 + 11*r**6\/72 - 121*r**5\/24 - 41*r**4\/12 - 22*r. Let f(p) be the third derivative of t(p). Factor f(g).\nAnswer: -5*(g - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5997, 25389, 58173, 104349, 163917, 236877?\n\"Answer: 6696*u**2 - 696*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -3. Let g(z) = z**2 + 9*z - 10. Let f be g(m). What is the closest to f in 5, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 7 = -4*l, 4*l + 4*y + 23 = -9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/(884\/13))\/((-1)\/2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -179 (b) -0.04 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 0, 44, 2, -2?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -857 + 765.4. Let y = v + 92.713. What is y rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -484579 times -24?\nAnswer: 11629896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1072 is divided by 180.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 9:29 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4740210443?\nAnswer: 241, 19668923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n**2 + 27*n - 7. Let u(q) = -3*q**2 - 26*q + 6. Let t(h) = 7*u(h) + 6*w(h). What is the second derivative of t(b) wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1090 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4863, 4866, 4871, 4878?\nAnswer: 4887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2310 + -32203000?\nAnswer: -32200140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, 4, 0.3, -1592, -2\/911?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2*j - 6, w + 4*j - 17 = 0. Let a = w - 9. Calculate the remainder when 141 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**3\/2 - 7*a**2\/2 + 6*a. Let x be j(-3). Let n(w) = -11*w**2 + 5*w**x + 4*w**2. Let z(l) = 2*l. What is n(z(v))?\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -595 + 55*w + 595 to the form l + f*w and give f.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 977 + -964. Put b, -5, -4 in descending order.\nAnswer: b, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/120)\/((-29)\/(-4205))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*h + 15. Let j = 3 + h. Let z(s) = 2*s**3 + 3*s. Let l(f) = -3*f**3 - 5*f. Let b(v) = j*z(v) + 4*l(v). Find the second derivative of b(r) wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -5. Let n = 0.05 + -3.05. Let w = -2.9 - n. Is u at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 470*n - 187. Is s(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 - 10*i + 8. Suppose -12*s - 42 = -18*s. Is 18 a factor of f(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 - 729768*n + 2919024.\nAnswer: 3*(n - 243252)*(n - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b + 1. Let w = 3 + -5. Let v be x(w). Suppose 30 = h - 3*j, 5*h + v*j - 62 - 48 = 0. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*f**4\/7 - 9065890*f**3\/7 + 16318488*f**2\/7 - 8703176*f\/7 + 1450528\/7 = 0. What is f?\nAnswer: 2\/5, 1, 181316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 4*c - 19 = -13, 3*l + 3*c - 3 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*w - 2*q, 2*w - 25 = -2*q + 5*q. Solve -2*v - 2*n = 18, -2*v - 3*n = 31 - w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 - (8 - 7 - 14 - -33)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10201 divided by -1.\nAnswer: -10201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194 + 194 - 2*k**2 + 4*k.\nAnswer: -2*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60 - -60. Suppose -5*a - 15 = w, 5*d - 3*a = -22 + 91. What is the greatest common divisor of d and 384?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**3\/2 + 2*z**2 + 6*z. Let m be w(2). Solve b - 7 = -4*s - 2*b, -2*b - m = -s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 5*i**2 - 4. Let l be r(10). Let p(g) = 60*g**3 + g - 1. Let y be p(-2). Calculate the common denominator of (y\/l)\/(2\/2) and 19\/14.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 3*v + 11, 25*o - 2*v = 23*o + 14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from llblblllblllllbb?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -2*i - 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*b, -9 = 3*l - 8*l + 2*b. Let c be (1\/4)\/(2 - l). Which is smaller: c or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c06a9 (base 15) in base 9?\nAnswer: 1127356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 2)*(-55 + 55 - c) - 4*c + 2*c - c)*(0*c**4 + c**4 - 3*c**4).\nAnswer: 8*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25621*o**3 - 68*o + 26?\nAnswer: -153726*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3436*-174.\nAnswer: -59.7864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-6)*9\/6. Let k be (j - -4)*(-3)\/27. Let c = -78 + 467\/6. Which is smaller: k or c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 847 + 848 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (102\/(-21))\/(4\/(-28)). Let g = r + -27. Solve -11*b + 3*b - 19*b**2 + g*b**2 = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, v: 3, z: 3, l: 1, t: 1, u: 1}. Give prob of picking 1 l and 1 a.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bz when two letters picked without replacement from zzrjrrrrb?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7442858807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2\/7)*w*((w*w\/(w*w\/(w\/w**(-3\/5))))\/w)\/w)\/(w**(-5\/8))**31 assuming w is positive.\nAnswer: w**(5793\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/552354?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.895 - -0.045. Let j = 4 - n. Let a = -0.0599972 + j. What is a rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y - 56*y + 424 = 31*y. Sort y, 0.1, -0.5, 187.\nAnswer: -0.5, 0.1, y, 187","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33907 minus 0.5?\nAnswer: -0.16093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9813199, -9813192, -9813185, -9813178, -9813171, -9813164?\nAnswer: -9813157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*i - 363 = -3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 293*i - 1204. Calculate b(4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 1. Let o(v) = 4*v**3 + 4*v**2 - 6*v + 8. Let d(t) = 3*h(t) + o(t). Let l be d(-5). Suppose l = -3*n + n. Let q(p) = -p - 6. Calculate q(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 6*z - 2. Let a be (3 + 2 + -6)*46\/(-23). Determine i(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 5, -5, 3\/35, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11449 is divided by 155?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 23 + 89 = 0. Let b(z) = z - 5. What is the remainder when d is divided by b(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32*i - 18*i - 1 - 5*i)*(2 + 3 - 3) in the form x*i + y and give x.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/251970 and -53\/2616.\nAnswer: 109858920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3069427 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 612 = -103*k + 112*k. Let f = 74 - k. Solve 14 = f*l + l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147152?\nAnswer: 2, 17, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8635403*t**6 - 2*t**2 - 27444222*t wrt t?\nAnswer: 1036248360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -246170 divided by 9.\nAnswer: -246170\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/644 and -57\/392.\nAnswer: 9016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, 0, 3 in increasing order.\nAnswer: -6, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -593 + -117. What are the prime factors of (3*-1)\/(4 + l\/176)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 26 + -1?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*m = -m + 16, -2*y = 4*m - 18. Let c = 3 - y. Differentiate -4 + x**c + 6 - x**2 - 2*x**3 with respect to x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n**3*p**2*u**2 - 4*n**3*p - 5*n**3*u**3 - 2*n**2*p**2*u**2 - 325*n*p*u**2 - 15*n*u - 14104*p**2*u**3 - 3*p**2*u**2 + 26*u wrt u.\nAnswer: -30*n**3 - 84624*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 3) + 1 - 6 - -13.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 21 - 24 - -30392 - -5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/10 and 49\/39085.\nAnswer: 78170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 491690.\nAnswer: 2, 5, 49169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 438322284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 take away -497535923584?\nAnswer: 497535923583.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-32)\/24)\/((-8)\/42). Let o(n) = 40*n + 1. What is the hundreds digit of o(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**2 + 41 - 6*a**2 - 15*a**2 with respect to a.\nAnswer: -40*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.79245 rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 984\/(-10) + 13 + 189\/(-15). Let s = 13 - m. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/20*16 + 910\/50 + -19\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4 + 4 - 6144*b**3 - 36*b**3 + 4776*b**2 wrt b.\nAnswer: -37080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - u - 2*u)*(1395 + 1414 - 2827).\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29 or 328646?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 3*n**2 + 3*n - 4. What is h(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/5 - 583374*l\/5 + 1166756\/5.\nAnswer: -2*(l - 2)*(l + 291689)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 0 - (15 + -11 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 58 + ((-703456)\/(-640))\/(-19)\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zwwz when four letters picked without replacement from wwzwwzzzwzwwww?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*11 - 10353\/957.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23584\/(-22847))\/((-8)\/496).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24\/(-9)*(-240)\/64 and 23?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-76433)\/(-4) - (-102)\/136 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**3\/6 - h. Suppose -9 = -0*v - 3*v. Let k(a) = 2*a**2 + 0 + 0 + v*a**2. Determine k(c(p)).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 67*q - 70*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 17614522?\nAnswer: 17614524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) 1 (c) 1\/4 (d) 0.61\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 369 + -359. Calculate the greatest common divisor of b and 370.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2382304 a multiple of 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a day in seconds?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbs when three letters picked without replacement from {s: 3, j: 3, v: 11, b: 3}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2862 and 35616?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -18.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-35508)\/(-6) - (2 - 7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/3 + 14116*i**2 - 2449456*i\/3.\nAnswer: -2*i*(i - 21116)*(i - 58)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 136\/(-272) + ((-25)\/(-3))\/(8\/(-12))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1080 and 69968.\nAnswer: 9445680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/18)\/((-7)\/21)*12. Solve 5*u = -5*j, -3*j + 2*u = -v - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/7 + 2988*o**2 + 209010*o\/7 + 522400\/7.\nAnswer: 2*(o + 5)**2*(o + 10448)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -p + 13, -p + 3 + 35 = 4*s. Let z be 3\/28*(p\/(-4) - -1). Which is the nearest to -3\/2? (a) z (b) -4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -69 and 21.\nAnswer: -1449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9158.55 - 14959.56. Let i = w - -5827. Let a = i + -26. Round a to 2 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 4212644 and 8?\nAnswer: 8425288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 108368*l + 320. Let t be i(10). Round t to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 11*x**2 + 9*x + 12. Let h be d(10). Let i(o) = -o**3 - 7*o**2 - 10*o - 3. Let w be i(-4). Let q be 16\/w - (-6 + 20\/5). Does h = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.319682 - -16.079788. Let n = r - 16.4. What is n rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -1*sqrt(76) - sqrt(76))*4 + 3*6*(sqrt(76) + sqrt(76) + -2))**2.\nAnswer: -4032*sqrt(19) + 60880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 1 = -5. What is the third biggest value in v, 3\/7, 5, 0?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**4 - u**2 + u**2 - 2*u**4 + 2*u**4 + 2*u**4 + (u**2 - 2*u**2 + 0*u**2)*(-3*u - 3*u**2 + 3*u).\nAnswer: 3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5*s**3\/3 - 55*s**2\/3 - 170*s\/3 - 40 = 0?\nAnswer: -6, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449 is divided by 95?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*q - 327 - 1493 = 69*q. Calculate the remainder when 384 is divided by q.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 302713441?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 606412819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3\/3 - 968*p**2\/3 + 18860*p + 80688.\nAnswer: 4*(p - 123)**2*(p + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.695867l in millilitres?\nAnswer: 1695.867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**3 + 2*v**2 + 2*v. Let h = 24 - 6. Calculate the smallest common multiple of h and a(-2).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (180\/50)\/(1\/5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1561b61 - 1?\nAnswer: 1561b60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5245*b + 4289.\nAnswer: -5245","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((308\/21)\/(-2))\/((-51)\/(-9) + -5). Let h(d) = -7*d - 17. Give h(a).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9592 and 1388224?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 660 is divided by 93?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -364, -727, -1090, -1453, -1816?\n\"Answer: -363*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02397 rounded to 3 dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(-1 + (-468)\/(-16)). Suppose 4*l - 561 = -b. Calculate the highest common divisor of l and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61920 is divided by 673?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 314340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttllliilittlltlltt. Give prob of sequence tit.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 75, 165, 281, 429, 615?\n\"Answer: y**3 + 7*y**2 + 62*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 divided by -31231?\nAnswer: 83\/31231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 63*a**4 + a**3 + 179*a**2 - 377*a + 88 wrt a.\nAnswer: 756*a**2 + 6*a + 358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, g: 7}. What is prob of picking 3 e?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**2 + 447*x + 10010. Determine u(-31).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 540 and 9?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -11. Let j = v - -12. Which is the third smallest value? (a) j (b) -4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1145791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 30 = 5*c, -5*v + 51 = 2*c - 0*c. Let s = -19 - v. Let b be (s\/8)\/7*-2. Do -1\/12 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*j*l**2 - 2*j*l - 4299750*j - 2258*l**2 - 15121*l with respect to j.\nAnswer: 6*l**2 - 2*l - 4299750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 221 = 4*w, -3*t - t + 2*w + 182 = 0. Suppose -2*s - d + t = -s, 4*s - 5*d = 135. What is the remainder when s is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 2 + 3 - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -69*r - 14. Let k(s) = s - 4. Let h be k(1). What are the prime factors of o(h)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 9 - 158*p + 337*p - 170*p. Let u(i) = 8*i + 8. Give -6*s(o) + 7*u(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*s - 9*s - 10. Suppose z = -k + 3, 3*k - 9 = -2*z - s*z. Solve 0*p - 5*p + h - 9 = 0, -8 = -4*p - k*h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-60)\/(-14))\/(220\/56 - 4). Let n = -61 - x. Let w = 32 - n. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**2 + 920*f - 1884. What is l(228)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.45 in -4\/3, -0.5, -3, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 48 - 3 + 4 - 19*x + 2.\nAnswer: -19*x - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1507488 divided by -3936.\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7.3 and 118.\nAnswer: 110.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 4:12 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y. Let l(j) = 72373*j. Determine m(l(f)).\nAnswer: 144746*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27467 is divided by 5474.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 16. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 2479.\nAnswer: 13\/2479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9287 is divided by 3090?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**5\/60 - 20*z**4\/9 - 425*z**3\/18 - 6985*z. Suppose x(o) = 0. Calculate o.\nAnswer: -5, 0, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1656380 by -30116.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 5*n + 2*k, 7*k - 2*k = -3*n + 97. Calculate the remainder when 47 is divided by n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 1. Suppose -3*w - 2*u = -9, 0 = 2*w - 4*u + 3*u + 1. Let n(x) = x**3 + 4. Calculate w*n(o) - 4*v(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 406*p + 10972. What is d(-27)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + -2 + 2\/4 + -4. Put -5, i, -10 in descending order.\nAnswer: i, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6864, -5, -4?\nAnswer: 6864","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -281*l**2 - 2 + 285*l**2 - 24*l + 3 + (-3 + 0 + 1)*(-2*l**2 + l**2 + 2*l**2).\nAnswer: 2*l**2 - 24*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 10319*v**2 + 5*v - 8715. Let a(l) = -20637*l**2 - 11*l + 17485. Let r(d) = 5*a(d) + 11*y(d). Find the first derivative of r(p) wrt p.\nAnswer: 20648*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*z**2 + 5*z - 8*z**2 + 9 + 10*z**3 - 13*z + 11*z + 4*z**4 - 4*z**3 in the form s + o*z**4 + r*z**3 + q*z + c*z**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 120578316671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1457752, 1457755, 1457758, 1457761?\n\"Answer: 3*c + 1457749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5018*u**2 - 249933*u + 9720.\nAnswer: -(13*u + 648)*(386*u - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -48\/11 in 107, 0.5, 6.9, -9, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 4*h**2 - 3*h**2)*(2 + 0 + 0) - 31*h**2 + 23*h**2 - 40*h**2 + (2*h - 2*h + h**2)*(3 - 2 - 3) + 3*h - 3*h + 2*h**2.\nAnswer: -42*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2\/9, -0.3, -4, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5055741 minus 2978282?\nAnswer: -8034023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b + 16. Let n be s(-3). Is 1 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/3)*a)**(-12)\/((a\/a**(-4)*a)\/(a*a**(-2)\/a)))\/(((a\/(a*a\/a**7))\/(a**(-5)*a))\/(a*(a**(-1\/4)\/a)\/a*a**(1\/5))) assuming a is positive.\nAnswer: a**(-781\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1628143.8753 plus 142.3?\nAnswer: 1628286.1753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 1\/20*g**5 + 0 - 1\/6*g**3 + 1\/120*g**6 + 0*g - 1\/12*g**4 - 3*g**2. Let y be v(2). Solve -3*o + 8*o = -y for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*o + d + 60, -d = 0. Let l(y) = 2*y**2 - 47*y + 35. Let j be l(23). Factor -j*k - o*k**4 + 102 + 8*k**2 + 8*k**3 - 210 + 112 + 4*k**5.\nAnswer: 4*(k - 1)**4*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -72*f**2 + 2*f - 45. Let l(b) = 2*b**2 + 22. Calculate 2*l(i) + z(i).\nAnswer: -68*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 175894127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-32)\/(-5280) + (-316)\/231\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 divided by 15.\nAnswer: 58\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 73593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 + 15*w**2 + 106*w**2.\nAnswer: 116*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-8)*(1\/2)\/(30\/360).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 125*a**2 + 1996885*a + 11976810 = 0?\nAnswer: -399227\/25, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4462 = -4*v + 238. Let s be 32\/14 + -2 + v\/(-28). Suppose -16 - s = -3*x. Calculate the remainder when 31 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -124\/1029 <= 79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15227 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 t(i) = 2*i**3 + 4*i**2 + i - 1. Give t(-3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005742 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 3*h + 21*y + 21*y + 346 = -247, -h - 4*y = 51 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/7285 and 27\/748340.\nAnswer: 35171980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**2\/(i**(-3\/4)\/i)*(i**(-2\/9)*i)\/((i**(-8)*i)\/i) assuming i is positive.\nAnswer: i**(451\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 60 = -5*w, -x = 106*w - 107*w + 8 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 3*t**2\/2 + 13*t - 7. What is the units digit of r(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15426, -14646, -13862, -13074, -12282?\n\"Answer: 2*t**2 + 774*t - 16202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 1:22 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(72) - -4*sqrt(72)*-1 - sqrt(72))\/((sqrt(48) - sqrt(96)\/sqrt(2)) + sqrt(12)))\/(-6*sqrt(32) - (sqrt(242) - sqrt(242)*-1)).\nAnswer: 8*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 - 48580432*x**2 + 590014593326656*x.\nAnswer: x*(x - 24290216)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3\/4 (b) -130 (c) 0.4 (d) 0.108 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - 2*a - 4, a + 0*a = 5*v + 34 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - h + 16. Let b be i(8). Suppose v + 8*v = b. Suppose -4*z + 0 + v = o, -o = 2*z - 4. Is o greater than 7\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -79022687, -79022685, -79022683?\n\"Answer: 2*y - 79022689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/2)\/((-34)\/(-102))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*q - 0. Let f(d) = -d**3 - 3*d**2 - d + 2. Let g be f(-3). Suppose -32 = -3*s - g. Calculate the greatest common factor of s and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1221301416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15\/4 of a millimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27.05 - -27. Let g = 22375.049996 - 22375. Let u = c + g. What is u rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1242\/138897)\/(13\/793)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b + 7*b = 92. Suppose 0*l + 2*y - 16 = l, 3*y = 4*l + 44. Let z = -6 - l. Solve -3*u = 2*r + 3*r, -b = -z*u - 2*r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438130612?\nAnswer: 2, 43, 2547271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s. Let p(b) = -b + 1. Determine -6*j(c) - 5*p(c).\nAnswer: -c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-3 + 28 + -17 + -19)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6186*w + 6155*w + 6013*w + 6068*w - 24170*w.\nAnswer: 252*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**4\/(k*k\/k**12)*((k*k*k*k\/(k*((k**(-2\/3)\/k*k*k)\/k*k*k)\/k)*k)\/k)**(-29) assuming k is positive.\nAnswer: k**(-190\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4494 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 52723270?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 415, -12102, -58153, -158348, -333297, -603610, -989897?\n\"Answer: -3435*p**3 + 3843*p**2 - p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (0 - -1) - (-40)\/10. Suppose -i*o + 21 = -3*x - 72, 5*o + x = 140. Calculate the lowest common multiple of 3 and o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 0*g + 2*g**2 - 2*g**3 - 14\/5*g**5 + 50 - 6*g**4. Factor t(p).\nAnswer: -2*p*(p + 1)**2*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, m: 3}. Give prob of sequence tmt.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 63024156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s**3 + s**2 - 2*s + 13. Let j(z) = z**3 + z**2 + z - 1. Let u(w) = 6*j(w) + k(w). List the prime factors of u(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 4 + 1. What is the tens digit of 270\/u - 2\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -11 - (-103 - -98)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3473 + 1327. What is the thousands digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 + ((-4)\/(5 + -3))\/2. What is the second derivative of 26*b**5 - 9*b**i - 31*b**3 - 18*b**5 - 26*b + 2 wrt b?\nAnswer: -20*b**3 - 186*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -360365 divided by 1\nAnswer: -360365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i - 2*i + 2*i)*(-23 + 0 - 11)*(-38 + 19 + 22 - 33*i)*(-3 + i + 3) in the form f + q*i**2 + v*i + p*i**3 and give q.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*r + 16. Let t be (0 - r) + -1 + 8. Suppose 2*g - t*g = 3*y + 3570003, 0 = 2*y + 5*g + 2380005. Round y to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6954.728 minutes in microseconds?\nAnswer: 417283680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1051151 + -5?\nAnswer: 1051143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 4:33 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 8.3. Let l = x - 2.3. Sort 5, l, 0.\nAnswer: 0, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 388578381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155601 - 396*m**3 - 626*m**3 + 155601.\nAnswer: -1022*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**5\/60 - 11*w**4\/18 + 38*w**3\/9 - 12*w**2 - 87*w + 1. Factor v(h).\nAnswer: (h - 18)*(h - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1513096766.\nAnswer: 2, 281, 2692343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-2))\/1)\/(59\/118)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 811535742?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of 2*v**6\/15 + 11*v**5\/60 - 11*v**4\/24 - 11*v**3\/6 + 3*v**2. Let l(d) = 3*d**3 + 2*d**2 - 2*d - 2. Give 2*k(g) - 11*l(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -516?\nAnswer: -515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xvg when three letters picked without replacement from uuuuuxgxguxuvuxuvgux.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -347, -919 in increasing order.\nAnswer: -919, -347, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 57.5 and -91562087252.\nAnswer: -91562087194.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14940 and 48.\nAnswer: 59760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -5\/977 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4092 - -4098.039. Let c = w - 0.139. What is c rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15 - 32) + 9)\/10.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 48 = -104. Let u(z) = 8*z**3 + 3. Let s(d) = 24*d**3 + 8. Suppose -3*b + 9 = -0*b. Determine b*s(c) + y*u(c).\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 92\/(-460) + 312\/10 - 8?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 + y**2 - y**2)*(-8*y + 0 + 11*y + 3).\nAnswer: -3*y**4 - 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 73897333681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3513, -3486, -3459, -3432, -3405?\n\"Answer: 27*w - 3540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 0 + (1 - 3) + 12 + -128?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 459, 457, 455?\n\"Answer: -2*l + 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 - (-57 + 65 - 112).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q**3 - 5*q**2 - 2*q + 20. Let p(t) = t - 4. Give -4*p(l) - z(l).\nAnswer: -6*l**3 + 5*l**2 - 2*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from guguugueu. Give prob of picking 1 u and 1 e.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -744717 - -60?\nAnswer: -744677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45781908.\nAnswer: 2, 3, 3815159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5568 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 170011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/201 and 119\/28794.\nAnswer: 1929198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7*m**2 - 3*m + 3. Suppose -9 = 3*j - 3*i, 0 = -5*j + 3*i - 6 + 1. Give s(j).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*s\/((s*s**(2\/23)*s)\/s)))*s*s)\/s**(-2\/25)*s*s\/(s**3*s)*s*s**(-19\/5) assuming s is positive.\nAnswer: s**(-1039\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1061348 is divided by 5054.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*-1*(-6)\/(-8). Let z(r) be the third derivative of -r**6\/120 + r**5\/30 + r**4\/12 - r**3\/2 + 4*r**2. Determine z(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 2*b - 2*b + (-b + b - 2*b)*(0 + 1 + 0))*(0 + 3 - 4)*(510 - 510 - 107*b**2 + (2*b + b - 2*b)*(-2 + 2 + 2*b)).\nAnswer: -840*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/4)\/b)**19*b**(1\/4)*b**5\/b assuming b is positive.\nAnswer: b**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3 = -0. Let o = 80 + -47. Suppose -d*l + 2*g = -66, -l + 5*g + o = l. What is the highest common factor of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - v + 3*m = 0, 4*m + 10*m = -2*v + 12*m for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuub when four letters picked without replacement from {h: 1, u: 12, b: 1}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 5*w = -24, -2*i - 2*i + 4*w = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -0.2, -19, -0.4?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 84 = -12. Calculate the lowest common multiple of 16 and l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 4 = -4*s, a - 5*s + 40 - 16 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 96153\nAnswer: 1\/96153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 6 - 9, -2*f + 33 = -3*n. Suppose -22*s = -f*s - 32. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*p**3 + 127*p**3 + 45*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7311 or -7314?\nAnswer: -7314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374171 is divided by 374163.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 870 + -1312. Let u = i + 709. Calculate the remainder when u is divided by 68.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -1. Let o(b) = -17*b - 1. Let a be o(-1). Calculate the remainder when 29 is divided by 20\/a*(-8)\/g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 143?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11963, -11594, -11225, -10856?\n\"Answer: 369*m - 12332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 172451\/120 - 4307\/3. Calculate the common denominator of d and -181\/360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11538 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 14) in base 8?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 1\/(-6))*4\/2. Factor 1\/3 + 2\/3*h + w*h**2.\nAnswer: (h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*z + 4*k, 5*k = 2*z - 0*k - 35. Calculate the remainder when 109 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -618 + 1b154?\nAnswer: 1a738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 122\/(-24) + (-12)\/(-144) - (-430)\/80?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 4*b**2 + b + 5. Calculate s(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a*q**2*s + a*q**2 + 24*a*q*s**3 + 3*a*q - 3*a*s + 4*q**2*s**2 - 6*s**4 wrt s?\nAnswer: 144*a*q*s + 8*q**2 - 72*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 3, l: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -10*b**3 + b**2 - b - 1. Let d be x(-1). Let i = -402 - -410. Suppose d*r = i*r - 186. Round r to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/1332857 and 35\/40941?\nAnswer: 11995713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q - 8. Let h be f(20). What is the units digit of (1\/5)\/(h\/166660)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2146*j - 2157*j = 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1770, -3000, -4218, -5418, -6594?\nAnswer: -7740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 11. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18000 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 466*g**2*s**2 + 7181*g*s**2 - 3*g + 3*s**2 + s - 287773 wrt g.\nAnswer: 932*g*s**2 + 7181*s**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -139\/1196 in 5, -1, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 20, -3*z + 8*l = 6*l - 5. Let n(j) = j**2 - 4*j - 1. Give n(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25970?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 7*m + 45. Let d(y) = 29*y + 179. Let j(l) = -6*d(l) + 26*o(l). Let n(c) = -3*c**2 - 6*c. Let t be n(-2). List the prime factors of j(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*n**5 + 2 + 147*n**4 - 147*n**4 - n**4 + 2*n**5 + n**4 + 3*n**3 + 2*n**5 - 3*n**3 + (n**4 + 4*n**4 - 4*n**4)*(1 - 1 + 2*n) - 2*n**5 + 0*n**2 + 0*n**2.\nAnswer: 13*n**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5 = -4*g. Suppose -g*y = 4*a - 42, -6*y - 47 = -3*a - 2*y. Suppose -a*s = -16*s + 3. Solve 0 = -n + 2 - s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.09 in -3\/17, 0.5, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -71.056, -33, -5, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 209 - 184. Let r = w - 28. What is the fourth smallest value in -4, r, -5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - -0.1. Suppose -2*p + 2 = -2. Which is the closest to 0? (a) p (b) 1\/6 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -n**6\/2160 + n**5\/40 - 9*n**4\/16 - 11*n**3\/3 - 8*n + 40. Let d(u) be the third derivative of p(u). Factor d(g).\nAnswer: -(g - 9)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/(-8)*(-18)\/(-15). Put m, 4, -4, 0 in decreasing order.\nAnswer: 4, m, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 + 2. Let s be n(2). Suppose 2*k - k = -s. Let r(p) = -p - 7. List the prime factors of r(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 210 - 125. Let f = -272 + a. Round f to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93090 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 760?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**3 + 3*m**4 - m**3 + 0*m**2 + 3*m**4 + m**2 - 2*m**2 + (0 + m**4 + 0)*(-2 + 2 - 2).\nAnswer: 4*m**4 - m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 102010011010 (base 3) in base 7?\nAnswer: 1600635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1152.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 3)*(-2*o + 5*o - 5*o)*(2*o + 0*o - 7*o)*(-3 + 4 + 0) to i*o**2 + b + y*o and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c - -23a4?\nAnswer: 2385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 327025 - 327065.99975. Let z = 41 + f. What is z rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(66) + -2*sqrt(66)))\/(-2*sqrt(150)).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 9941*x + 7379*x + 4)*(0*x - 4*x + 3*x).\nAnswer: 2562*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33341 + -15503. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 14) in base 5?\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 7*q**3 + 3*q - 5. Let i be t(2). Let l be ((-190)\/i)\/((-2)\/(-108)). Is 33 a factor of l\/50*390\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 228.81 + -230. Let w = -1.2 - h. What is w rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14425 + 14385. Suppose 3*a + 15 = -3*z, a + 4*z + 5 = z. Sort a, w, 1, 2 in increasing order.\nAnswer: w, a, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 11460.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 6. Let w = -8 - u. What is the remainder when w is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.105?\nAnswer: 0.0105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxoqe. Give prob of picking 1 e and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + 5)*(2*q - 2*q - 2*q)*(q - 8*q + 2*q) to t*q**2 + x + l*q and give t.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 3*n)*(-1 + 1 + 2*n + (-2 + 1 + 2)*(0 + n + 0) + 2*n + 4 - 4).\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g + 16. What is w(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378837*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-11) - 90\/(-11). Suppose r + 1 = -3*s. Sort 4, s, 3 in descending order.\nAnswer: 4, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/18 - 14\/(-16). Let p = 6 - 1. Suppose 5*d = -p*f - 25, -f = -3*d + 5 + 4. What is the third smallest value in 3, l, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(-1 + 1 - 3*q - 1)*(10*q - 56*q - 88*q).\nAnswer: 804*q**2 + 268*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/9*-16 + (-1)\/3. Is o at least as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - -6.8. Let g = -6.95 + v. Let i = g + -1.05. Which is the closest to i? (a) 3 (b) -2 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 46.32693 and 44688541.\nAnswer: 44688587.32693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 3*(-11)\/33.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 623 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.5 + -2.5. Let j = -3 + -4. Let u = p - j. Which is the second biggest value? (a) u (b) -2 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/(-2))\/(1 + 1). Let w be (i + -1)\/(2\/(-4)). Determine t, given that -t**4 + w*t**4 - 4*t**2 + 3*t**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41812.37mm in centimeters?\nAnswer: 4181.237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200103 (base 4) to base 5.\nAnswer: -31232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 4:22 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 3*a - 158 = 5*i, 4*i = 5*i - 6205*a + 6203*a + 18 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 153 + 251?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -2*c + w - 45, -5*w = -3*c + 51. Suppose b - 63700 = -c*b. What is b rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 + 1 = 2*i. Suppose -22 = -4*k + i. Suppose -3*d + k = l, -3*l + 3 = -4*d + 4. Which is the closest to 0.1? (a) -5 (b) l (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zgs when three letters picked without replacement from {s: 1, g: 1, z: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/5, 3, -2\/19, -0.04?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/3*(-3)\/(-2). Suppose k = -0*j + j. Let f(x) = 0*x**2 + 1 + 8*x**3 + 0*x**j. Give f(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21475*j**2*n**2 + 3*j*n**2 - 2*j + 214*n**2 - 3*n wrt j?\nAnswer: -42950*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 2 - -5) + (-4 - -6).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4d39 (base 16) in base 15?\nAnswer: 5cce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - y - 2*y)*(-1 + 1 - 2 + 26 - 6 + 28 + (1 + 0 + 0)*(-4 - 1 + 6)).\nAnswer: -141*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + v. Let g(k) = -2*k**3 + 2*k**2 + 6*k. Determine -g(t) + 3*l(t).\nAnswer: -t**3 - 2*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4706, -9385, -14034, -18653, -23242?\nAnswer: -27801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 6 - 4) + -12 + 22\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*y = -10. Suppose -y*g + 120 = -g. What is the tens digit of 14*(g\/(-14) + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -83*d**5 + 2*d**4 + 2251*d**2?\nAnswer: -4980*d**2 + 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/14 + (-31)\/(10850\/21250)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-5)*285\/38)\/(3\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 711 * -0.4\nAnswer: -284.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/((-12)\/9) - -6. Let k = 29 - c. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*r**3 + 1)*(r - 2*r + 2*r) + 3509*r**4 + 3521*r**4 + 27*r**2 - 28*r - 7026*r**4.\nAnswer: 2*r**4 + 27*r**2 - 28*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34111734 divided by -6.\nAnswer: -5685289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 5:07 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.9 + -13. Let k = 5\/51 - -128\/255. What is the second biggest value in k, 0.3, b, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 452 - -2015. Does 30 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 39 in 1\/7, -4, -1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -617, 2, -7, -79, -20 in descending order.\nAnswer: 2, 0, -7, -20, -79, -617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Let q be 5\/5 - 32\/6. Let h = -5 - q. Do t and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -63, -102, -95, -18, 153, 442, 873, 1470?\n\"Answer: 4*z**3 - z**2 - 64*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r + 3. Let n = 1 + -1. Let o(g) = n*g + 3*g - 11 + 4. Let k(q) = -q**3 + 36*q**2 - 38*q + 103. Let u be k(35). Calculate u*o(t) - 5*b(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 25\/(-75) + (50\/6)\/1. Suppose n + q*n = -324. Let z be (-5 + 2)*24\/n. Solve -b + 4 = z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -2863154.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - ((-3 - -5) + -2)) + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 4, v: 1, c: 6}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**5\/3 - 60*z**4 - 2584*z**3\/3 + 66640*z**2\/3 - 76544*z + 216320\/3 = 0?\nAnswer: -52, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14088)\/(-8218))\/((-4)\/49)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 5*n = -3*d, 0 = 3*d + 5*n for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 0.03 (c) -5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 - 56*m - 196. What is h(31)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -32) + (187 - 84) + -100\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 763200 by 530.\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2048 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -735 = -6*f - 15*f. Let l = f + -874\/25. Is -1 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*o - 4*o**3 - 63*o - 36*o + 45*o.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 13*p**2 + 13*p + 6. Let d be y(-14). Solve -o = 4*o + d, 5*o = -5*l - 35 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24319 divided by -2929?\nAnswer: -24319\/2929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.3, -3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 6 = -f - 3, -84*f + 63 = 3*g - 172*f + 84*f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ururuuuuu. Give prob of sequence rur.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/14)\/(-4) + 44\/14. Let w be (34\/i)\/(2\/(-6)). Let s = -9 - w. What is the highest common divisor of s and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfml when four letters picked without replacement from {f: 1, p: 2, l: 2, h: 1, m: 10}?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5 = -0*s. Let d = -19 - 56. Find the common denominator of 31\/2 and 2 - (d\/(-27) + s).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9, 11, 9, 3?\n\"Answer: -2*j**2 + 8*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 + -26. Let l(f) = 4*f - 11. Let o be l(n). Let g(i) = i**2 - 10*i + 13. Determine g(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - 37. Suppose -4*p + 5*r = -m*p - 25, -2*r = -2*p + 10. Suppose -3*g + 4*g - 4*s = -12, p = 3*g + 2*s - 6. Solve -w + g = -5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2952, 2909, 2866?\n\"Answer: -43*i + 2995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -319, 6, -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - 28d?\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -7*g + 2. Let b(h) = -2*h - h + 4*h + 6*h - 5*h. Let y(r) = -5*b(r) - c(r). What is y(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 5*v**2 - v. Let d be q(-5). Solve -d*u - 16 = -1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57.3012 - 2.3012. What is the closest to 0.14 in 5, -0.4, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -7716576\nAnswer: 2314972.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -33935.\nAnswer: -16967.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 331 + 37. Let y = c + -376.05. What is y rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -10. Suppose -x = -3*x - y + 21, b*x - 43 = -3*y. Solve x = -5*r - 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.18 - -2.82. Which is smaller: b or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2201300032 - -1020?\nAnswer: -2201233012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*f + 7*f + 53 = 0, 0 = f + 2. Suppose -5*l = k, d - l - 4*l = 34. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 32. Let m = z - -20. Solve 0*o = o - m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 6)*(-4 + 3). Let k(h) = h + 6. Let n be k(m). Solve -n*f + 6*a - 35 = 2*a, -4*f - 5 = 3*a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-3))\/(7\/273). Let p = -26 - m. Suppose 2*a - 4*s - 12 = p, -3*s = 3*a + 3 + 6. Solve -4*d + l + 4 = a, -3*l = 2*d - 0 - 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -4 (b) 2 (c) 5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 at most as big as 3234\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 934953652?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 207\/12 - 17 - (-81)\/12\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.71 and 25452279118.\nAnswer: 25452279119.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 36*k**2 - k - 1. Let l be b(-2). List the prime factors of 8\/(-32) - l\/(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from irfimroifimiifrrf. Give prob of sequence ffr.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + n - 1. Suppose t = -5*d - 4, -4*d = 4*t + 34 - 2. Let j = t + 4. Let b(k) = -6*k**3 - 2*k**2 + 6*k - 5. What is j*p(o) + b(o)?\nAnswer: -o**3 - 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 166*h**2 + 5784*h - 63. Determine z(-35).\nAnswer: 847","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 1. Suppose 0 = x*c - 4 - 2. Suppose c*i + 8 = -i. Is i greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -m**3\/3 + 19*m**2\/2 + 6*m + 17. Let y be j(18). Let i be y\/11 - (-6)\/(-33). Solve 0*n = i*n + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 388688222 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.05 + -0.05. Let p = 0.033 - 0.133. What is the closest to p in h, 0.1, 1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60129 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, 5, 973, 24 in decreasing order.\nAnswer: 973, 43, 24, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2 + 9*o - 7. Let l = -93 + 96. Let s be t(l). Let f(m) = -m**2 - 4*m + 2. Let g be f(-4). Solve -p + g = 3*y, -y - s = -p + y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + 7. Let f(u) = u**3 - 6*u**2 - 7*u. Let s be f(7). Let m(k) = k - 6 - 4*k**2 + 5*k**2 + 2. Let r be m(s). What is g(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 466 divide 358524556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 6 + (2 - (2 - 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 30 = -165. Suppose 4 = 4*j - 4*b, -1 = j + 5*b - 7*b. Calculate the greatest common factor of s and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 474 + -292. Let l = x - 166. What is the remainder when 120 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 2*a + 119 - 126 = -0*a, 4*x = 4*a - 20 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11067542\/113 or -97943?\nAnswer: -11067542\/113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1442.9403 + -1443. Let m = i - -0.1597. Which is the nearest to 2? (a) 2 (b) m (c) 0.2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2958*f + 3744846. Give m(-1266).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2820 divide 12021660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*v - 69 + 107 + 114 + 28*v.\nAnswer: 7*v + 152","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*z**5 - 6*z + 0*z - 3*z**5 - 3*z**5 wrt z?\nAnswer: 80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/4 + 92*j**2 + 361*j - 1092.\nAnswer: (j - 2)*(j + 6)*(j + 364)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16631088 by -12.\nAnswer: -1385924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*u + 8*u + 192. What is the common denominator of (-28)\/(-150)*4\/u and 59\/15?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.6493 times 6?\nAnswer: 681.8958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 238 and 133150409?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k\/k**3*k*k)\/k*k)\/k)\/(k**(4\/7)\/k))**(-4\/11))**19 assuming k is positive.\nAnswer: k**(304\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -31491 plus 0.036?\nAnswer: -31490.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-5))\/((-3927)\/(-187))?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.813 - -0.187. What is the second biggest value in r, 3, 3\/29, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 7. Let j = -2.9 - s. Let v = 0.5 - 1. Put j, v, -0.2 in descending order.\nAnswer: j, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -155 + 147. Let b(n) = 2*n**2 - 4*n + 5. Let a(r) = 11*r**2 - 11*r + 20. Let g(z) = -z**2 - 1. Let t(k) = -a(k) - 6*g(k). Give l*b(h) - 3*t(h).\nAnswer: -h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 174350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 183, 9, 3, -1, 2.\nAnswer: -1, 2, 3, 9, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 523921 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 821695.\nAnswer: 5, 7, 17, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -205.\nAnswer: 3\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67841 and 2653.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 280 - 448.5. Let h = 169 + l. Put -4, h, -1\/2, -2 in decreasing order.\nAnswer: h, -1\/2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (14 + -7 + -6 - 4)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006778014 rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53634 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 71 + 21. Is l greater than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 5*o - 4. Let v be c(1). Suppose -6*b + 4*b = v. Solve 5*a = 5*q + 35, -3*q = -b*a - 2*a + 18 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from alwa. Give prob of sequence awa.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 + 41.2. Let i = 29.8 + m. Let h = 31.5 - i. What is the third biggest value in 0, h, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 11700b8?\nAnswer: 11700b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89761.34 centimeters to kilometers.\nAnswer: 0.8976134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.283725 and 5.\nAnswer: 6.418625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 5\/34357?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64875.\nAnswer: 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45108114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1391 greater than -1281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 b when two letters picked without replacement from {b: 4, q: 1, l: 1, v: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5.969 * -4\nAnswer: -23.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 96\/9 + (-2)\/3. Suppose -4*v - i + 42 = 0. Let c = 63 - 31. Calculate the highest common divisor of c and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 293 (b) -5 (c) 11 (d) -82 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 33 + 105)*(-p - 3*p + 3*p + (4 + 1 - 4)*(4*p - p - p) + (-3 + 3 - 1)*(-p + 0*p - 2*p))*(4*p - p - 4*p) to the form j*p**2 + f + b*p and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -56*d - 111. Let y(r) = -54*r - 90. Calculate 4*w(x) - 5*y(x).\nAnswer: 46*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**5 + 4413*g**4 - 44379*g**3 + 75507*g**2 - 35544*g = 0 for g.\nAnswer: -1481, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -55294 - 2?\nAnswer: -55296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12760, -50827, -114198, -202867, -316828?\n\"Answer: s**3 - 12658*s**2 - 100*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.2. Let q be (-1)\/3*9\/(-6). Put -0.3, q, w in decreasing order.\nAnswer: q, w, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 17*k + 6. Let w(x) = -2*x**2 + 18*x - 7. Let f(m) = -6*o(m) - 5*w(m). What is the hundreds digit of f(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 11:16 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 662.342um in nanometers?\nAnswer: 662342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -11*m**3 + 6*m**2 - 74*m + 12. Let k(f) = -11*f**3 + 5*f**2 - 75*f + 10. Calculate -6*k(v) + 5*t(v).\nAnswer: 11*v**3 + 80*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 224 and 16055728.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.901475 millennia in years?\nAnswer: 8901.475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20648 - -24722. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154421 is divided by 77203?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l**4 + 22*l**3 - 14*l**2 - 22*l - 4 = 0. What is l?\nAnswer: -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -11*d**2 + 18309*d + 73426. What is r(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/5)\/((-106)\/(-1590))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + v + 1. Let k(w) = -2*w**3 + 4*w**2 - 3*w + 12. Determine -3*i(p) - k(p).\nAnswer: 2*p**3 - p**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 79 = -a, -23*i + 25*i + a = 34. Suppose -i*b - 3*b = 0. Solve -3*f = -5*p - 21, b = 3*p + f - 1 + 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147189169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*t + 5*m, m = 3*m + 10. Let s be (0\/t)\/(3 + -4). Let l be 3 + (-2 - -1) - -3. Which is smaller: s or l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 13009.\nAnswer: -5\/13009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -98*j - 1771. Determine y(-18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -10 - 12*a**2 + a + 9 + 0*a. Let w be (-2)\/4 + (-5)\/(-10). Let f be w + (-1)\/(-2)*2. Give v(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -6*l - 2. Let c be i(-3). Let z be 18\/5 + 16\/40. What is the highest common divisor of c and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z**2 - 14*z**2 - 4*z**2 - 4*z**2 in the form i*z**2 + k + m*z and give i.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -332398*z - 407. Let c(u) = -2444*u - 3. Let t(i) = 814*c(i) - 6*w(i). Let n(a) = 2*a**2. Give n(t(g)).\nAnswer: 49441568*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-4*-2*sqrt(121)*4)\/((sqrt(1331) - -2*sqrt(1331))*-1 + sqrt(1331)) + 2)**2.\nAnswer: 256\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40839143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -39057 - -27?\nAnswer: -39030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2133 + 5174. Differentiate 72 + s*h - 3011*h + 8 with respect to h.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 0 - 23\/15*j**3 + 129*j - 1\/6*j**4 + 2*j**2. Factor i(t).\nAnswer: -2*(t + 5)*(5*t - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 0)*(7 - 7 + 3*r + (-6 + 0 + 4)*(-2*r + 5*r - r)) in the form t*r + o and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -83\/52 smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 3*v + 4. Let m be j(3). Suppose d + m = r, 3*d - 4*r + 16 = -0*d. Suppose d = 3*z - 3*y - 549, 3*y + 11 = -z + 210. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -408, -808, -1208, -1608, -2008, -2408?\n\"Answer: -400*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -216846*w + 6288403. Determine p(29).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 58c - 4?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*n**4 + 2*n**3 + 7*n**3 + 2*n**2 - 7*n**4 - n as p*n + b*n**2 + l + q*n**3 + k*n**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34589291 and 2316986.\nAnswer: 484250074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 j, and 1 x when three letters picked without replacement from {x: 1, j: 2, l: 1, g: 4, s: 6, w: 4}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25827 and 0.3?\nAnswer: 7748.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c**(-2)\/c*c)\/c)\/c*c)\/(c\/((c\/c**(25\/4))\/c)))\/(c*c*c\/(c\/(c*c*c**(-1\/3)*c))*c**(7\/3)\/c))**(16\/7) assuming c is positive.\nAnswer: c**(-260\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/1*-1)\/((-16)\/48))\/(-1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dn when two letters picked without replacement from {d: 1, p: 4, n: 6}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 76\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/6 in -6, -0.1, 1\/8, -1, -6.1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r + 20. What is l(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + -1. Let g = -6 - t. Solve -4*i = -g - 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18493989 to the nearest integer?\nAnswer: 4300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, t: 1, b: 3, j: 1, r: 5, z: 3}. Give prob of sequence tz.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-72)\/14 - (-2)\/(-14). Suppose 2 = v + f. Let i(m) = -2*m**3 - 3*m**2 - 2*m + 5. Does 6 divide i(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/23 equal to 2.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131904 divided by -43968.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s = 3*a + 107, -1098*a = 4*s - 1097*a - 45 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**2\/11 - 48577*s\/11 - 4557402\/11 = 0 for s.\nAnswer: -48483, -94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z - 11. Let a be p(-6). Suppose 21 = y - 4*y. Let h = 10 + y. Sort -4, h, a.\nAnswer: a, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, 67, 44, 19, -8, -37?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.6888 + -21838.6888. Let p = -21832.89981 - u. Let o = p + -1.1. Round o to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/15*(-20720)\/(-1332)*12\/(-14)?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2717946?\nAnswer: 2, 3, 7, 11, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3342*a*l + 512040*a - 5821*l + 14 wrt l.\nAnswer: -3342*a - 5821","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -3\/475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4*(sqrt(228) + -2*sqrt(228)) + sqrt(228))*-6)\/((1*sqrt(144))\/sqrt(12) - sqrt(48)\/(sqrt(100) + sqrt(4))).\nAnswer: 108*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.3 + 0.8. Let n = -5 - v. Let i = -4.8 + 5. Which is the closest to -0.2? (a) n (b) 2\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.622 to one decimal place.\nAnswer: 25.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3465719?\nAnswer: 59, 58741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 212.13 and 0.3.\nAnswer: 63.639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103 - 92 - 3*s - 97 + 381 - 89.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 4*w - 12, -2135*w + 2132*w - 4*c = -19 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = o - 2. Let d(z) = 4 + z + 0*z + 1. Determine d(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3591 = 111*r - 108*r. What are the prime factors of r?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 631.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 1251 = 331. Suppose 0*m + j = 4*m - f, -2*m + 5*j + 373 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**3 + 5*z**2 - 31*z - 97. Calculate p(-5).\nAnswer: 558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2397 divided by -47\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.094 + -0.906. Which is the fourth smallest value? (a) h (b) 3 (c) 5 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5*n. Suppose -f + g + 405 - 46 = n, 0 = 5*f - 3*g - 1805. Suppose f = 2*m - 54. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40686543 and 114.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*l + 3, 96 = l + 2*w + 108. Let z = -26 + 16. Is (3 + l)*(-9550)\/z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pra when three letters picked without replacement from {r: 4, a: 1, d: 2, p: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3105139?\nAnswer: 839, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kkkkkkkkkmm.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1495820 divided by 747910.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -5*z + 6*m, -13*z - 4*m = -10*z + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180673 - x**2 - 180673.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/9)\/(2\/18). Let r be (-12)\/8*16\/x. Solve 2 - 3*p + 4*p + 3*p + 2*p**r = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w\/(w*w**(2\/9)*w))))**18*w*w**(-2\/23)*w*((w\/(w\/w**(-7))*w)\/w)\/w*w)\/((w**(-9)\/w)\/(w\/w**0))**(-6) assuming w is positive.\nAnswer: w**(-2141\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 138, 402, 800, 1338, 2022, 2858?\n\"Answer: n**3 + 61*n**2 + 74*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 9*b**2 - 22*b + 2. Let f = 72 + -61. Let m be w(f). Let d be (-4)\/(-14) + (-300)\/(-28). Solve -p = m*z + d - 1, p = -5*z - 22 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*h + 1674 = 32*h. Let a = 205 + h. Solve 2*l - f = -3*l + a, -2*l - 4*f + 12 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -190, -189, -192, -199, -210, -225, -244?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 62518, 0, -11.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -40, -36, -32, -28?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of 1913*h**4\/12 + 4211*h**3\/6 + 182*h**2 + 1. Find the first derivative of o(v) wrt v.\nAnswer: 3826","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4, -2*u - 3 = -4*v + 1. Let r be (3\/2 + -2)*-4. Suppose 32 = u*j - r*x, -j + 2*x + 14 = -6. What is the highest common factor of j and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*d**2 + 74 - 74 to z*d + g + b*d**2 and give b.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.24 - -1.94. Which is the third smallest value? (a) p (b) 5 (c) 1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/118104 and -47.\nAnswer: 118104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -242 divided by 2\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-5))\/(-2) - (-70)\/25. Solve 0 = -3*t + x - v, -2 = 2*t - 5*x - 13 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -6. Let b(o) be the third derivative of -o**5\/60 + 5*o**4\/4 - 64*o**3\/3 - 2*o**2 - 2. Let z be b(24). Solve c - z = -5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(25\/(-10)) + -2. Let n = -1 - -9. Solve u = -0*h + 4*h - n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(3\/28)\/(m**(-10)*m)*((m*m**1)\/m)\/(m**(-14)\/m) assuming m is positive.\nAnswer: m**(703\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 177228 and 483246?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-4))\/((-2)\/(-4)). Suppose 6 - 11 = 3*j + 4*c, -4*j = 4*c. Calculate the greatest common factor of o and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -209*l - 1171. Let m(o) = 44*o + 1. Let z(x) = 2*j(x) - 2*m(x). What is the first derivative of z(i) wrt i?\nAnswer: -506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48658 - -48378.37. Let w = h + 306. Let d = 27 - w. Round d to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -380235*i**5 - 27*i - 2215 wrt i.\nAnswer: -7604700*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3340\/(-1503))\/((-4)\/(-42))*3?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/3910 and 9\/1190.\nAnswer: 27370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -139*f**6 + 2*f**3 - 18*f**2 - 1 wrt f?\nAnswer: -16680*f**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-1) + (5 - 1). Does n = 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39681?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 35.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65 + 46. Let v = o + 18.9981. What is v rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.226875 litres in millilitres?\nAnswer: 7226.875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 9, -3*a + 11 = 2*c - 1. Suppose -a*f + 0*f = -6. Let x be 2\/(-7) - 52\/14. Sort 5, x, f in descending order.\nAnswer: 5, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20726644 less than -600352?\nAnswer: 20126292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*j = -0*k - 4, -2 = -4*k - 2*j. Calculate the lowest common multiple of k and -3*(-1)\/6*22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -1676\/20511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11*3\/(-6))\/(-1)*(-140)\/70.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1242*n - 752*n - 611*n - 536*n to the form q*n + t and give q.\nAnswer: -657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 3783*a**4\/4 + 4823*a**2 + 2426*a. Differentiate t(y) wrt y.\nAnswer: 22698*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -26895, -53768, -80607, -107394, -134111, -160740?\n\"Answer: 3*n**3 - n**2 - 26891*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 12) in base 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 + (-292)\/16)\/((-39)\/1924).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -409, -834, -1257, -1678?\nAnswer: -2097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -80, 90, 1 in decreasing order.\nAnswer: 90, 1, -28, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1970\/7 + 281. Let d = 89 + -73. Let u = d - 16. Which is the closest to -4\/7? (a) z (b) u (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -13 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 235559 + 1368560. Let r = -4119 + y. What is r rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -10343313?\nAnswer: 10343322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4009, -16049, -36115, -64207, -100325, -144469?\nAnswer: -196639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in meters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + f**2 + 2*f + 25. Let z be n(0). Solve -p + z = -6*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 2*j**3\/3 + 370*j**2 - 742*j - 1499. Factor u(w).\nAnswer: 2*(w - 1)*(w + 371)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0*v - 2*v + 20 + 4*v + 5*v wrt v?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*a*u**4 + 57*a*u**3 - 10*a + 1732 wrt u.\nAnswer: 32*a*u**3 + 171*a*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/18)\/(132\/(-792)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4186 = 192*l + 439 + 1135 for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*p - 815 = -29*p + 175 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - (2 + -42) - -30?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177008.\nAnswer: 2, 13, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2476184 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 944584655 and 15910.\nAnswer: 7955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6445097284682 and -0.01.\nAnswer: -6445097284682.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 5) + (44 - 5 - 29) - (54 + 3).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2289 + 4577 - 2288 + 4121*m**2 to the form k*m + j + h*m**2 and give h.\nAnswer: 4121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let -453*f**4 - 7047*f**2 + 11550*f - 23091\/2*f**3 - 9\/2*f**5 + 7500 = 0. What is f?\nAnswer: -50, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 + 87. Calculate the highest common divisor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 3:01 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/220*8\/6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -107392 divided by 927\nAnswer: -107392\/927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 199 and -0.3.\nAnswer: -59.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 25 = 5*x, 2*x = 5*h - 2 + 12. Solve -y = -x*y - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 8:38 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.18, 1\/8, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/3 - ((-8)\/(-1) + -2). Is 4 a factor of l\/12 + ((-73)\/(-4) - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20335*t + 20669*t - 41985*t + 41202 = 0 for t.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 408 - 418.05. Let u = w - -17.04. Let q = u + -7. Which is smaller: -2\/3 or q?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -334 - -569. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h - 275 = -0*h - 41 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3590 - 8642 = 11*p. Let h = 1690 + p. Does 17 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -189 + 746 - 182 - 4*j**2 - 190 - 189 to n*j**2 + p*j + y and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -c + i + 9, 5*c - 7 = -i. Let y be ((-19)\/(-3) + -3)*-3. Let o = y - -10. Solve o = -s - c*s + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (94 - (-20372)\/(-220))\/(((-3)\/(-20))\/(-3)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75\/17 - 3. Let q = -916\/55 - -2638\/165. Which is bigger: k or q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2 - 0. Let x = -13174 - -197531\/15. Let c = 23\/5 + x. What is the second biggest value in c, m, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzcq. What is prob of sequence czz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 275438309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u + 0*u + 2*u + 9 + 3*u - 9 + (55*u + 44*u + 11*u)*(-1 + 1 - 1).\nAnswer: -101*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 185 - 2957\/16. What is the closest to b in -0.1, -1, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 - (9 + -7 + 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9026 > -1\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1268928 divided by -422976\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4 + 16036*y**3 - 32112074*y**2 - 128640792*y - 128704968.\nAnswer: -2*(y - 4011)**2*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 1. Let n be 9*(1*-2)\/(-4). Let i = n + -5. Which is the nearest to 0? (a) i (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -2\/7, 13, 0.11 in ascending order.\nAnswer: -2\/7, 0.11, 0.3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1167 - -1098.6. What is y rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 316687 divided by -11\nAnswer: -316687\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 160 = 3*a, 3*a + 80 = 5*a - 2*z. Let i = a + -42. Let q(l) = -l**3 + 5*l**2 - 4*l - 2. Determine q(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 1, 3, 0.\nAnswer: -3, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 76\/532*(-1 + 1 + 2)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11358014677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 22. Let h(p) = 3*p**2 - 10*p**z - p - 1 + 28*p**3 - p + p. What are the prime factors of h(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60653522005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26209.\nAnswer: 26209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4352*m**6 - 2*m**2 + 101 wrt m?\nAnswer: 522240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -5*q**4\/12 - 31*q. Let t(i) = -4*i**2 - 4*i**2 + 6*i**2. Give p(t(w)).\nAnswer: -20*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 119 + -103. Suppose -h + 4*w = w, -4*h - 4*w = -b. Suppose h*t + 2*i = 2487, 5*t = -0*i + 4*i + 4145. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 3*o + 32*o**3 - 100*o**3 - 7*o**2 - 27*o**3. Let u be z(-5). Suppose 2720 - u = -x. Round x to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -510220454 or -510220451?\nAnswer: -510220451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 37\/5 of a century?\nAnswer: 8880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47642, 190508, 428506, 761546, 1189538, 1712392, 2330018, 3042326?\nAnswer: 3849226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 4\/(-10) - (-66)\/15. Let y be ((8\/f + -3)*1)\/(-1). Solve 4*r = -5*n - 16, -3*r = -2 - y for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(2 + 0) + 2. Suppose 0 = -5*c - 2*r, -2*c + 3*r = 2*c. Put c, -1, n in ascending order.\nAnswer: -1, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -143\/5 - -29. Let h = -59350 - -59350. What is the closest to o in -0.3, 5, 0.5, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*b + 15. Let w = b - -5. Suppose -5*k + 3*k = 4, w*q + 3*k - 2 = 0. Solve 0 = -4*f + q*i - 20, -f + 3*f + 4 = -i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -112, -237, -360, -481, -600, -717, -832?\n\"Answer: t**2 - 128*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) -6\/5 (c) -0.3 (d) -1349268\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -0.0223, -0.4, 0.3?\nAnswer: -0.0223","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t + 2*f = -17*t, -2*t - 4 = -2*f for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 4*r - 10, 3*l - 5*r = -l - 17. Suppose 29*a - l = 28*a. Solve -2*g - 3*m = -5*g + 12, -a*m = -g + 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11044 - 140*g**3 + 11044)*(-4 + 4 - g**2).\nAnswer: 140*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h - 2. Let l be t(1). Let w(o) be the second derivative of -l*o + 1\/2*o**2 + 0 - 1\/3*o**3. Differentiate w(k) with respect to k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -17. Let q(v) be the first derivative of -2 + v + 1\/2*v**l. What is the first derivative of q(z) wrt z?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = 16*j + 5*h, -29948*j + 22 = -29950*j - 3*h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 6*d + 8*d = 15, -2*d - 10 = 0. Solve 23 - 28 = n*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 292a (base 11) to base 5\nAnswer: 110113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5649582*h**5 + 4*h**4 + 2*h**2 - 2*h + 290748 wrt h.\nAnswer: 338974920*h**2 + 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c**2. Let t(a) be the first derivative of -a**2\/2 + 12. Calculate k(t(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -47*o - 5. Let t(s) = 16*s + 2. Let c(p) = -3*t(p) - x(p). Let z(a) = 21. Determine 21*c(r) + z(r).\nAnswer: -21*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 2. Let x(z) = 5*z**3 + z**2 + 3*z - 17. Let c(r) = -2*r**3 - r + 6. Let w(a) = i*x(a) - 8*c(a). Give w(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -196\/6039 + -68\/183. Find the common denominator of o and 2 - (1337\/35 + -5)\/18.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 153897\/31, 2\/19, -2.\nAnswer: -2, 2\/19, 153897\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4551, 3909, 2837, 1335, -597, -2959?\n\"Answer: -215*r**2 + 3*r + 4763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + f = 10, f + 2 = -k - 0*f. Let o = -2 + 4. Find the third derivative of n**2 + 5*n**2 - o*n**2 + k*n**3 + 0*n**2 wrt n.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 49352883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -b**4\/12 + 11*b**3\/6 + 8*b**2 + 3367*b. Let h = -3 + 15. Calculate a(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 o when two letters picked without replacement from pwnuonoapoon.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100) + sqrt(100)*2*6)\/(3*sqrt(30)\/sqrt(3)))\/((3*sqrt(35))\/sqrt(7) - sqrt(25)\/(sqrt(30)\/sqrt(6))).\nAnswer: 13*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 0*y**3 - 2*y**3 + 2*y**3 + y**3 + 362 - 728*y**2.\nAnswer: y**3 - 728*y**2 - y + 362","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5908 divided by -85497\nAnswer: 5908\/85497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 143178, 14.7?\nAnswer: 14.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -0.5. Put -1\/5, j, 4 in descending order.\nAnswer: 4, -1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**8*t)\/t)**(-7\/6)\/((t\/(t**(-37)\/t*t)*t)\/(t**(-6\/25)*t)) assuming t is positive.\nAnswer: t**(-3568\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, b: 1, d: 2, o: 1, p: 1, g: 1}. What is prob of sequence pg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2259 - 2204. Which is the second biggest value? (a) m (b) -4\/3 (c) 0.2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81162420 divided by -6?\nAnswer: -13527070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*j = 2. Let x be (-1 + j - -14)*7. Let q = x + -739\/7. Which is bigger: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 146464 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11895 is divided by 2700?\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3116475 is divided by 211?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of y**4\/12 - y**3\/3 + y**2\/2 + 6*y. Let x be z(4). Let h(m) = -m**2 + 9*m + 2. What is the units digit of h(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -26*d + 10. Let l(a) = -42*a + 16. Let o(g) = -8*f(g) + 5*l(g). Let b(u) = -841*u**2. Calculate b(o(s)).\nAnswer: -3364*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45171 and 97713?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3065, 6138, 9233, 12362, 15537, 18770, 22073?\nAnswer: 25458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -33. Let h = -1.2 - -0.5. Let p = 0.7 + h. What is the closest to p in 4, w, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*v + 20*v - 26*v.\nAnswer: 89*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3181649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -5 (b) 1\/143051 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.27 + -19.97. Let k = -1293826.5 - -1293806.799798. Let o = k - r. Round o to 5 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1584) + 1 + 5)*-4 - -5*(sqrt(132) + (sqrt(132) + sqrt(132)*2)*-5 + sqrt(132))\/((sqrt(120)*-1)\/sqrt(10)).\nAnswer: -24 + 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*d + 37*d + 40*d - 213*d**2 as a*d + q + j*d**2 and give j.\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -449122, -898179, -1347238, -1796299, -2245362?\n\"Answer: -u**2 - 449054*u - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (329\/(-846))\/(4\/(-18))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 375 divide 310330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5382178070 a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 27 - (6 - (0 + 4)). Suppose 0*y + 5*y = u. Is 4 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 5*n**2 + 18*n - 32. Let z be h(2). Let y be z\/18*(4 + (-15)\/6). Sort y, -36, -4.\nAnswer: -36, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 105 - 305. Let f = u + 489. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.49 + 147.51. Let w = 150.0000468 - d. What is w rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 14) to base 3\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 473688.\nAnswer: 2, 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/10 - 161\/70. Which is the nearest to 17? (a) 0.3 (b) -4 (c) g (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 5*c + 92. What is the smallest common multiple of w(-7) and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (-3)\/(-6)*-2. Let c(j) = -7 - 6*j + 5*j + v + 2*j**2. Let l be c(-4). What is the highest common divisor of 16 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-10*1\/11). Let d = g - 89\/45. Let t = 0 + -4. Which is the smallest value? (a) t (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2989980 divided by -2\nAnswer: -1494990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2060600 rounded to the nearest ten thousand?\nAnswer: 2060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28.5 - -19.5. What is the closest to 0.1 in u, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 3*c - 9, c = k - 5*c - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 49*v**2 + 81*v - 11. Let t be q(-2). Solve -t*g + 71 = -67 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/5 - 39\/15. Suppose 4*f + 39 = -9. What is the lowest common multiple of -2 - q\/(f\/(-32)) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - 70\/(-15))\/((-4)\/(-942)). Suppose 965 = 8*x + s. Is x a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -20*c**2 + 142*c - 10. Calculate h(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 897391928?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5788, 23186, 52176, 92752, 144908, 208638, 283936, 370796?\nAnswer: 469212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**3\/6 - 3*x**2 + 11*x + 29. Determine y(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jk when two letters picked without replacement from jjkhhhj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 5*t**2 + t**2 + 9*t**2 + 25 - 9 + 9*t**2.\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 7190347?\nAnswer: 7190350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(6*(sqrt(68)*1*4 - sqrt(68)))\/(sqrt(484) - (sqrt(484) - ((sqrt(484) - -1*sqrt(484)) + sqrt(484) - sqrt(484))) - (sqrt(24)*1 - sqrt(24))\/sqrt(6)).\nAnswer: -45*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -18d?\nAnswer: -18c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-1)\/(4\/2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 5:10 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 - -48. Is -3\/7 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79162.\nAnswer: 2, 39581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1476 > -14460?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 27*t**2 - 14*t - 116. What are the prime factors of d(-5)?\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1112*h + 1126*h = -42 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 21 - 36. What is the least common multiple of (0 - (-5 + 3))*(n - -1) and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 - 0.3. Let w = -14 + 19. Which is the nearest to v? (a) -2\/7 (b) -0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/11, -1\/133, -4 in descending order.\nAnswer: -1\/133, -1\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/60)\/(18\/17055). Do v and -96 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 16*f**2 - 12*f - 13. Let c be m(18). Let w = -413 + c. Solve 8 = q + w for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 + 6*c**2 + 18*c + 13. What is t(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/4)\/((-5)\/(-250)). Suppose -3*m - m = -20, 2*o - k = -3*m. Suppose -4*c - h + 2*h + 27 = 0, -o*c + 39 = -3*h. Is 6 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434775651.\nAnswer: 3, 19, 31, 197, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1356 - -1340.18. Let b = -21.827 - -33.727. Let j = v + b. What is j rounded to one dp?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*y**2 + 38*y**2 - 79*y**2 + 60*y)*(6 - 10 - 20).\nAnswer: -48*y**2 - 1440*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.027038 - 0.2.\nAnswer: -0.172962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*w = -119*w - 260 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 39*i + 1. Let z(o) = 280896*o**2. Calculate c(z(q)).\nAnswer: 10954944*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of r**4 - 513*r**3 + 3*r - 7596 wrt r?\nAnswer: 4*r**3 - 1539*r**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1894 is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.01 - -0.01. Let s = -160886\/5 - -32296. Let q = s - 118. Sort q, -1\/6, i in descending order.\nAnswer: q, -1\/6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*(s**(-2\/73)\/s)\/s)\/s*s**(-11\/6) assuming s is positive.\nAnswer: s**(-1253\/438)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1070 + -1014. Let r be 3\/(-2) - 6*(-42)\/o. Let f be 5\/(-1)*(-4)\/10. Solve 2*g = -3*q + 16 - 3, -g + f = -r*q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g = -930. Let j(y) = -y**3 + 5*y**2 + 50*y + 12. Let i be j(-9). Let s = g - i. Round s to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -98, -198, -298?\n\"Answer: -100*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/13 (b) -0.2 (c) 0.1 (d) 2 (e) 84\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.3116*-0.1.\nAnswer: 1.43116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 129 - 139. Solve n + 6*n = u*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 197*d**5*w**2 + 2*d**5 - 47*d**2*w - 4*d + w**2 wrt d?\nAnswer: 11820*d**2*w**2 + 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, o: 10, h: 4, j: 1}. What is prob of picking 1 o, 1 h, and 1 j?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 6:43 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*q + 59*q = -18. Suppose -509 = -4*w - h, -3*w = -q*w + h + 380. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -5, -1\/28, 1, -6, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 115317549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-10))\/((-8)\/440). Calculate the common denominator of (43 - 6)*2\/t and -131\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 58*d**2 + 700*d + 14. What is the remainder when c(16) is divided by 67?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 47*j + 451. Let b be p(-9). Solve 0 = g - 5*i + 2, 3*i + b = -5*g + 18 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2018, 2205, 2522, 2975, 3570, 4313, 5210?\nAnswer: 6267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 0. Let t be (-15)\/10*190\/(-15) - 1. What is the greatest common divisor of m and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 1372479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -1, 3\/4, 4, -15, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 800149 or 800229?\nAnswer: 800149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(2678\/2674 - 1). What is the remainder when 40 is divided by y\/(-63) + 4\/(-18)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(154)\/(sqrt(21)\/sqrt(3)))\/(sqrt(11) - sqrt(396)*-2)*3.\nAnswer: 3*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*t + 25, -10*t = -4*n - 9*t + 19. Suppose -2 = a + 4*y, 0 = 5*a - 0*a + 5*y - 5. Solve -m = -3*m - n*v, a*m = 5*v for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -117, -4.\nAnswer: -117, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2982662 to the power of 1\/3, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/24)\/(3\/(-2)). Let y = -560 + 40878\/73. Which is bigger: y or q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 + -49. Let j be -3*d\/12 - -9. Solve u = 3*u - j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(18\/5))\/(b\/b**13))**(2\/49) assuming b is positive.\nAnswer: b**(94\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -15. Let h(d) = -22*d - 4. Is h(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 17*y - 53. Let g be (-272)\/(-24) - (-5)\/3. Let s be m(g). What are the prime factors of (-170)\/(s + 5 + -6)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*d + 7, -4*d + 3 = -2*s + s. Let z(w) = w**2 - 11*w + 9. Calculate the remainder when 0\/(d\/1) - -16 is divided by z(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 8*x - 49955. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-92)\/(-24) - 4) + (-15)\/(-684)*-2?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -5, 5 in decreasing order.\nAnswer: 5, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (r - 5*r + 0*r)*(-103 + 2 - 10) in the form b*r + o and give b.\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g + 1. Let i be l(1). Suppose 3*v - 15 = -5*k, 6*k + 9 = 9*k - 5*v. Solve 0 = -3*x - k, -2*x + 14 = i*a + 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 151? (a) -2 (b) 0.2 (c) -1\/3 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -356\/5 - -1178\/15. Let v = n + -7. Suppose -17 = -115*o + 124*o + 10. Which is bigger: o or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -5. What is the common denominator of 3 - (u - (-11)\/4) and 1\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110101011 (base 2) in base 4?\nAnswer: 12223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**3 - 2*p**2 - 4*p + 4. Let x(f) = f**3 - f**2 + 1. What is m(j) - x(j)?\nAnswer: j**3 - j**2 - 4*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o - 9*o + 4590 = 0. Suppose 3*f - o - 486 = -3*q, -4*q = 5*f - 1039. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1862532 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 10.85778ns?\nAnswer: 0.00000000000012566875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1125\/36 + 6\/8. Suppose 4*v - 127 = 2*u - 39, 2*v + 2*u = q. What is the tens digit of 0 - -2 - v*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 81915 or 81931?\nAnswer: 81931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -8. Suppose -v*h - 8 = -7*h. Suppose 2*y + 3*a = 7*a + 58, -h*y - 3*a + 30 = 0. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -128. Let g = -121.3 + p. Let f = g + 7. What is the biggest value in -1\/10, f, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 9 = -15. Let v(j) = 3*j**2 + 2*j. Suppose -16 = -3*a - 4. Let i(r) = -2*r**2 + a*r**2 - r**2. What is p*v(y) + 5*i(y)?\nAnswer: 2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4425412 - -22200?\nAnswer: -4403212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/56952 and -145\/72.\nAnswer: 56952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2766.9, 2\/9 in descending order.\nAnswer: 2\/9, -4, -2766.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-18)\/(-8))\/((-9)\/(-24)). Let s(x) = -7*x + 3 + 4 + 11*x + x**2 - 10*x. What is the remainder when s(i) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 5:26 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.6461038 rounded to 2 decimal places?\nAnswer: -11.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -80*v + 85*v - 10. Suppose -3*a + 7 = 4*f, -v*f + 4 = 4*a - 2. Suppose -2*z = 5*n - 23, -4*z + 21 = 3*n + 2*n. Sort a, n, -3 in increasing order.\nAnswer: -3, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 10*l**2 + 3*l + 6. Give u(-3).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(13) + (sqrt(78)\/sqrt(6) - sqrt(13)) - sqrt(13)) + 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 351 + -371 + 675\/36?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 621517599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2796*j*t + 64*j - 1 wrt t.\nAnswer: -2796*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 68049206 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103 (base 6) to base 16.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*(sqrt(98) + -2) - (sqrt(72)\/sqrt(75))\/(2*sqrt(1452)))**2.\nAnswer: -1542*sqrt(2)\/55 + 618641\/6050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2095659050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*o - 8*o + 3*o**2 - 8*o - 5*o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270605607 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17892560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1.167.\nAnswer: 2.334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -4, -2\/1287?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -368 + 370. Let n be 1 + (-100)\/(-30) + s\/(-6). Solve -n*p = -20, -v = 3*v - 4*p + 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*f + 90*f + 5*x + 14 = 0, 24 = -5*f - 7*x for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -1231, -10 in ascending order.\nAnswer: -1231, -10, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 6*a - 6. Suppose y = i + 4, -3*y + 12 = i - 6*i. Let z be t(y). Find the third derivative of -3*x**2 - 4*x**6 + 4*x**6 - z*x**6 wrt x.\nAnswer: -240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 41 = -3*a - 2*d, 5*a - 3*d = 62. Suppose -a*g + 6 = -10*g. What is the third derivative of -4*n**g + 40 - 40 + n**4 wrt n?\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42.2999546 + 42.3. Round d to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (1*-52 - 1). Let f = t - 49. Suppose -141 = -f*u + 44. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q**2 + 3*q**2 - 2*q**2)*(-6*q**2 - 4*q**2 - 12*q**2) + 2*q**4 - 3*q**4 - q**4 to h*q**4 + x*q + s*q**3 + k + f*q**2 and give h.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.194547875 rounded to 3 dps?\nAnswer: -2.195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 267484158 to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + q**3 + 2)*(-9 + 2 + 2)*(-1 + 1 + 4)*(6*q + 5*q - 10*q).\nAnswer: -20*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 y when three letters picked without replacement from fyyyf.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and -1.10721.\nAnswer: 0.0221442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00179048253 to five dps.\nAnswer: 0.00179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000986187423 to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2011 (base 4) in base 2?\nAnswer: -10000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.83 times 3?\nAnswer: -2.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**3 - 9*o**2 - 8*o - 9. Let w be a(7). What is the highest common factor of w and 240?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -2002 in descending order.\nAnswer: 3, 1, -2002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22633 is divided by 628.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 742 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -174.312 + -1.388. Round u to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37060 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from upsuvs. Give prob of sequence up.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/(-5) + 3\/(-15). Let z(j) = 0*j + 4*j + 2*j - g. What are the prime factors of z(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1223, 2389, 10835, 24109, 42205, 65117, 92839?\nAnswer: 125365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -139, 0.1, 0.04, 15 in increasing order.\nAnswer: -139, -3, -1, 0.04, 0.1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -5\/16 (b) 0.0316 (c) 0.029\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j - 7 + 7)*(1 + 2 + 3)*(3 - 1 + 0)*(j - 4 + 4) + (-j + 0*j - j)*(-j + 0*j + 4*j) in the form f*j + v*j**2 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 99236551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 7*h - 7*h - 2426*h**2 + 2428*h**2.\nAnswer: 2*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l + 13682*l**3 + 4117*l**3 + 6*l.\nAnswer: 17799*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/66*3*37\/148?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 7 - 23*k**3 - 7 + k. Suppose -5*u = -0*u + 5. Let n be v(u). Solve 0 = 2*f + 4*s + 10, -3*f - 2*s = -7 + n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**4\/15 - 7532*w**3\/15 + 6200008*w**2\/15 + 341767612*w\/3 + 2581831850 = 0.\nAnswer: -195, -25, 1993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 61.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 10. Suppose -2*q = 10, z*b - 3*q - 42 = -b. Calculate the remainder when 24 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2104*c - 2109*c + 210 for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n. Let h(f) be the second derivative of -5*f**3\/3 + f**2\/2 + f. Calculate -h(l) - 6*i(l).\nAnswer: 4*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/3)*i**(1\/11)*((i**(-4)\/i)\/i)\/i**(-2\/9))\/((i**1*i)**(-44)\/((i**(1\/2)\/i*i)\/(i\/i**9))) assuming i is positive.\nAnswer: i**(18047\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 496 and 6432?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/(-4)*2*-1. Suppose -4*g + 4*c = 48, 10*g + 2*c = 7*g - 46. Let k be ((-1)\/3)\/(g\/84) + 19. What is the greatest common divisor of v and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*-137.\nAnswer: -2.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4374 and 5958?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**2 + 25*h - 10. Give o(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qc when two letters picked without replacement from {q: 5, c: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 8*o**2 + 6*o + 6. Let q be x(6). Let n = q - -51. What is the remainder when 82 is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-14))\/(-1)*(-59640)\/56800?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 + 0.2. Let u = 4693 + -4695. What is the nearest to -1 in 21, u, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/1097, -11, 0.3, 0.7, 2\/9?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vl when two letters picked without replacement from {v: 19, l: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 d when three letters picked without replacement from {d: 15, t: 3}?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/39015 and -83\/307785.\nAnswer: 2770065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) 261 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 1664, 5, 0, -3 in descending order.\nAnswer: 1664, 5, 2, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-366)\/9)\/(2\/27). Let q = y + 863. Is (-6)\/(-10) - q\/(-10) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 62b7c9 - 5?\nAnswer: 62b7c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-114)*5\/((-120)\/(-36)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**2 + 15*f**2 - 2*f**2 - 14*f**5 wrt f?\nAnswer: -840*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vtvt when four letters picked without replacement from {v: 2, t: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + 0 + 47 + -6. Let s = o - 48. What is the nearest to -2\/15 in -0.4, 3, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, -4, -31\/3, 3\/2, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 88, 116, 154, 208, 284, 388, 526, 704?\n\"Answer: o**3 - o**2 + 24*o + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 8*l. Let y be w(8). Suppose 2*p + c + 18 = 0, 5*p - 4*c + 0 + 19 = y. Let i = 17 + p. What is the greatest common divisor of i and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/18 and -97\/132.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8516 and 18?\nAnswer: 76644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27184 - 13414. Does 45 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (168\/32)\/(0 - 6\/16). Let t(r) = -r**3 - 12*r**2 + 21*r + 2. Does 50 divide t(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*h**5*x + 181*h**4*x + 4*h*x + 62*h - 2 wrt h?\nAnswer: -80*h**3*x + 2172*h**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.888 rounded to 0 dps?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 509 divide 786929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7162.671 rounded to the nearest ten?\nAnswer: -7160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-545)\/(-21) + (-176)\/(-3696). Sort 6, 2, j in decreasing order.\nAnswer: j, 6, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -5*p - 13 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 7*f**2 - 7*f + 6. Let z(l) = l. Let a be z(6). Let i be q(a). Let r = 23 + -19. Solve 3*m + i*s + 13 = -2*s, s = -r*m - 19 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3550406176 to the power of 1\/2, to the nearest integer?\nAnswer: 59585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -q**3\/3 + 6*q**2 - 16*q + 19. What is p(12)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -29*u + 1769. Calculate i(61).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -411*j**4 + 4*j**3 + 19*j**4 + 856*j - 4*j**3 - 34*j**4 wrt j?\nAnswer: -5112*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -5*q - 6. Suppose 4*u + 2 = 2*z, 3*u = 5*z + 15 + 15. Let h(f) = -2*f - 3. Calculate z*h(r) + 4*t(r).\nAnswer: -2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2677979 is divided by 2641?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 3. Suppose -v*w + 3*w = 2*n + 5, 2*n + 4*w = -20. Suppose 3*g - g - 10 = n. Solve -5*s = 2*a + 8, g*s = 3*a + 20 - 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (26\/10)\/(1 - (-234)\/(-235))?\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/(6600\/(-22)))\/((-6)\/(-105)))\/((-228)\/(-190)).\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -2465\nAnswer: -14790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6, -66, -152, -252, -354, -446, -516, -552?\n\"Answer: 2*a**3 - 25*a**2 + a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/4)\/((-15)\/25)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -5, 0, 1526, 55 in ascending order.\nAnswer: -5, -4, 0, 4, 55, 1526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000 (base 2) to base 10.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 312 and 3480?\nAnswer: 45240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -494 divided by 636.\nAnswer: -247\/318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 96 - 83. Let w(o) = -o - 8. Let v be w(-10). Suppose 5*k = -0*a + v*a + 42, 0 = 4*k - a - 36. What is the smallest common multiple of k and b?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 1:03 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/30)\/((-2)\/(-55))*(-1330530)\/4390749.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/8)\/((-3)\/36). Let v be m + -1*87\/(-3). List the prime factors of ((-15)\/4)\/((-6)\/v).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/((-1)\/(-312)*4). What is the tens digit of (u\/20)\/(27\/12 + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-126)\/10 + 8\/(-20). Let i(x) = -3*x**2 + 11*x + 10. Let a be i(g). What is a rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38514 + 7650. Let x = -14846 - a. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 3*t**2 + 1. Give q(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-906*h + 906*h - 76*h**2)*(0 - h + 0) + (1 - 1 - 2*h**2)*(-2*h - 3*h + 3*h) - 2*h**3 + 2*h**3 - 2*h**3.\nAnswer: 78*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -347, -1270, -2799, -4928, -7651, -10962, -14855, -19324?\n\"Answer: j**3 - 309*j**2 - 3*j - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*m - 116*m + 24 = 4*y, -4*y - 4 = 3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 95*l**2 - 13*l + 1. Calculate the remainder when z(1) is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*n - 67*n + 0*n**2 + 13*n**2 - 28*n**2 - 30*n**2.\nAnswer: -45*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-8)\/t**(-13\/2) assuming t is positive.\nAnswer: t**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 1\/8 (c) 14\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7040 divided by -1.\nAnswer: -7040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.112 times -39280\nAnswer: -4399.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*o**3\/4 + 330297*o**2\/4 + 14361*o\/2 = 0. What is o?\nAnswer: -2\/23, 0, 4787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktryn. Give prob of sequence ry.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w + 12*w - 18 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-192)\/40)\/(44\/(-10)). Sort -3, 3, 1, m.\nAnswer: -3, 1, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**5 + 59*b**4 - 121476*b**3 - 267024571*b?\nAnswer: -40*b**3 + 708*b**2 - 728856*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 134689824 to the power of 1\/4, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -63*t. Let f(r) = 177*r. Give s(f(g)).\nAnswer: -11151*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i**2 + 9*i - 2. Let v(l) = l**2 + l - 1. Let u(y) = o(y) - 6*v(y). Let r be u(-1). Solve -w = r, 3*w + 0*w = d + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = 5*w - 54. List the prime factors of w.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1648 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 71\/(1084\/180 - 6). Suppose -5*i + 5*q = -k, 11*i - 12*i + 635 = -5*q. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-3)*(-1)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.71 + -0.21. What is the second biggest value in -0.2, 1.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 6*a**2 - 7*a + 1. Calculate f(-8).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -57*w**2 - 1. Let s(r) = -3*r**2 - r - 1. Give h(u) - s(u).\nAnswer: -54*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2403 + -2391. Calculate the remainder when 108 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 - -36. Let g be 1 - (50\/p + 3\/(-3)). Let v be (114\/63 - 2)*(-18)\/g. Is -19 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 4*k - 8. Let r be x(6). Suppose -30 = -r*v - 10. Suppose -3 = -4*q + v. Solve -i - 5 = 4*c, -c + q*c = -2*i + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 332.8 - 333. What is the third smallest value in 0.059, 0, 4, m?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/5 + (2 - -3). Let p(r) = r - 6. Let z be p(t). Suppose 9*f - 25 = 4*f. Which is smaller: f or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v = -15*v + 13688. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 562445 - -62b?\nAnswer: 562a74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 3. Let q(u) = -4*u + 8. Let k be q(6). Let y be -10*(-6)\/k + 3. What is the nearest to d in -0.4, 4, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.1 and -0.8.\nAnswer: -2.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 3:30 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/(sqrt(32)\/sqrt(4)))\/((sqrt(10) - (sqrt(10) + sqrt(10)*1))\/sqrt(5) + sqrt(2) - sqrt(2)) - ((-2*sqrt(176) + 3)*2)**2.\nAnswer: -2852 + 191*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -8. Let a = 77 - -30. Suppose -13*m - 42 = -a. Solve -m - c = -5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 229672.9 to the nearest 1000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 120*r**2 - 2062*r + 144. Give m(17).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 - -44.9. Suppose 10 = 3*i - g, -2*g + 16 = -6*g. Let m be (4 + -1)*(-1)\/(-5). Which is the second smallest value? (a) w (b) i (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*j = -34, 4*m + 16 = -1069*j + 1073*j. Let t(c) = 7*c + 65. Determine t(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/21)\/q**(-4))\/((q\/q**6)\/q)**(-34) assuming q is positive.\nAnswer: q**(-4198\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.046, 77, 0.2 in decreasing order.\nAnswer: 77, 0.2, 0.046, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 12*v**2 - 133*v + 31. Determine i(11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(2\/1)*1650\/10000*50\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92 + 39. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -781 or -782?\nAnswer: -781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4374951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401120 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 3. Let q = m - 3. Does 11 divide q + 1 - (-9 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1549?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.85, -4, -11.5, -0.01 in ascending order.\nAnswer: -11.5, -4, -0.85, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/(1224\/(-136))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12e (base 15) to base 16\nAnswer: 10d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 817783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 55124, 110241, 165344, 220439, 275532, 330629, 385736?\n\"Answer: t**3 - 13*t**2 + 55149*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3834*f - 32304*f**2 - 3834*f - 209*f**2 - 11348*f**2 to y*f**2 + n*f + x and give y.\nAnswer: -43861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 205 and 14.\nAnswer: 2870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -49*c**5\/20 + 81*c**2\/2 - 76*c - 1. What is the derivative of y(z) wrt z?\nAnswer: -147*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 2*b - 2*b)*(3*b**3 - 9*b + 11*b - 5*b**3) + 5*b**4 + 0*b**4 - 3*b**4.\nAnswer: -4*b**4 + 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -1098*x - 34. Let p(n) = -1098*n - 42. Let z(o) = 5*f(o) - 4*p(o). Differentiate z(s) wrt s.\nAnswer: -1098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 + -43. Suppose 0 = 4*g + 4*p, -g + i*g = -5*p - 6. What is the least common multiple of 6 and 26 - (2 - 6\/(-3))\/g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 20 = -4*j, 3*f + 5 = 2*j + 11. Suppose 5*d + 3*i = -147, 47 = -3*d - f*i - 50. What is the remainder when (-2 - -1)*(d + -2) 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 6250036 is divided by 206?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**3 - 35*r**2 + 23*r - 16. Let x(s) = -25*s**3 + 210*s**2 - 140*s + 95. Let n(k) = -35*i(k) - 6*x(k). Suppose n(w) = 0. What is w?\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*m - 7 + 7)*(1 + 3 - 2 + 2*m**2).\nAnswer: -22*m**3 - 22*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 29993 (b) 2\/9 (c) -3\/7 (d) 3 (e) 0 (f) -15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**7\/f)\/f**(-1\/2)*f*f\/f**(-1)*f*f*f**(2\/3)*(f**4\/f**7)\/((f**4*f)\/(f\/(f*f\/f**(-8\/5)*f))) assuming f is positive.\nAnswer: f**(17\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 a factor of 76159517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 43 + 36\/(-5 + -1). Differentiate -18*q - m + 2*q + 38*q + 38*q with respect to q.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -20384245\nAnswer: -20384247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -48 + 1 + (1 - -10) + (2 - -1).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.051718541427 plus -0.0974?\nAnswer: -0.149118541427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -7*q - 9. Let h(w) = 8*w + 8. Let a(r) = 4*h(r) + 5*n(r). What is the units digit of a(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2f0f - 16e?\nAnswer: -307d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1976831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 135 + -68. Suppose -3*w + a - l = -0*w, -4*a - 5 = w. Let d = 29 + w. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63 - (-101 + 38)) + 1 + (-15)\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -619\/6 (b) 2 (c) 5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103*p**2 + 232*p**2 + 424*p**2)*(-p**3 - 2*p**3 + 0*p**3).\nAnswer: -1659*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1638 and 1724268?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 + -65.9. Let s = -0.63 + 0.03. Let t = s - y. Which is the second biggest value? (a) t (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3151 - -3152. Which is the smallest value? (a) 2\/21 (b) -3\/7 (c) 136 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1 = 0, -5*j - s = 3*s - 76. Calculate the greatest common divisor of j and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*d**2 + 30*d - 27*d - 17*d**2)*(81*d**2 + 35*d**2 + 20*d**2) in the form o*d + y + f*d**2 + k*d**4 + s*d**3 and give s.\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 253 + -252. Calculate the greatest common divisor of k and 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/4 + -5 - 3. Let i(b) = b**2 + 4*b - 5. Let w be i(l). Let j(u) = -u**3 + 0*u**3 + 2 - 113*u**2 + 107*u**2 + 1. Calculate j(w).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -32, -57, -78, -107, -156?\n\"Answer: -2*h**3 + 14*h**2 - 53*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2, -2*p + 3*p + 2*n = 59. What are the prime factors of p?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 1. Let l(z) = 2*z + 1. Let h(w) = -a(w) + l(w). Let y(p) = 3*p**2 + 0*p**2 - 2*p**2. Calculate y(h(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 8.57?\nAnswer: -8.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -21. Let x(u) = -u**3 - u**2 + 1. Let y(o) = 3*o**4 + 10*o**3 + 10*o**2 + 2. Let w(h) = j*y(h) - 2*x(h). Factor w(q).\nAnswer: 3*q**2*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 7*n - 13. What is m(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**3 - 3*m**3 - m**3 + 4*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -588*o - 55. Let b = -71 - -66. Is s(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 40.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(-6 + 124553\/20770)?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(9\/2)\/l*l*l*l)\/(l*l**(6\/13)*l*l)*l**(-1\/4)*l\/(l**(-5\/8)*l) assuming l is positive.\nAnswer: l**(355\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -p + 2. Let m be 0*(0 + p)*-1. Suppose j - 5 - 9 = 0. Solve m*f + 10 = h + 3*f, -4*f + j = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3362859567?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h - 8. Let l be k(-6). Suppose -2*d + 2*f + 38 = 0, -35 = -l*d - 2*f + 23. Solve 5*u - 2*y = 20, -2*u - 4*y = -0*u + d for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 7006 = -2266. Suppose -y = -10*h + 620. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((81\/6)\/9)\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - 3*sqrt(121)*-2)*1)\/(6*sqrt(110)\/sqrt(810)).\nAnswer: 21*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 140365 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -1885, 0, 1209?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (192\/(-160))\/((-12)\/630*3).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 183139\/173040 + -1\/34608. What is the common denominator of -43\/72 and h?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -206.97 + 204. Let o = p + 3. Let z = 0.0332 - o. What is z rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19432 by -9716.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 2401.955 to the nearest integer.\nAnswer: 2402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 0, 36, 5, 0.4, -20 in ascending order.\nAnswer: -20, -2\/17, 0, 0.4, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13306103 = 9*x + 87759836. Let a = -21202637 - x. Round a to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756129 is divided by 63007.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2032 + 2032 + 58*l)*(-1 - 3 + 2)*(-14 + 14 - 4*l) to the form y*l**2 + s + f*l and give y.\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -11*l. Let t(n) = -58*n**2. Let z = -435 - -433. Let x(b) = -13*b**2. Let k(y) = z*t(y) + 9*x(y). What is k(s(p))?\nAnswer: -121*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w**2 + 8*w - 2. Let i(x) = -9*x**2 + 6*x - 6. Let a(t) = -19*t**2 + 11*t - 13. Let h(y) = 3*a(y) - 7*i(y). Let s(u) = 5*g(u) + 4*h(u). Give s(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v. Let m(n) = 40*n**2. Determine q(m(w)).\nAnswer: -40*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101 (base 5) to base 12.\nAnswer: -548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 12)*1221\/74*(-4)\/(-66).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6406, -25665, -57772, -102733, -160554?\nAnswer: -231241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -9375\/137 less than or equal to -68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 9:09 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 183.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6584*l - 3291*l - 3295*l + 116 to the form f + w*l and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/30? (a) -0.4 (b) -5\/2 (c) 3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.09 + -0.09. Let c = -308 - -313. What is the second smallest value in -6, c, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46447 at least 58169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1002131 - -403?\nAnswer: -1001223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d - 2*d - 5 + d. Suppose 0 = -5*m + 4*s - 146, s = -m + 5*s - 42. Let t = 26 + m. Give g(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 2:51 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdx when three letters picked without replacement from {x: 4, c: 4, d: 1, z: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 24941210 to the power of 1\/3, to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 720*w - 827. Is x(5) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 6*k - 2*k)*((3 - 3 + k)*(-10 + 6*k + 10) + 80*k**2 - 5800*k + 5800*k).\nAnswer: 172*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60*x**2 - 15*x**2 + 11*x**2)*(-2*x**2 - 3 + 3) + (-1 + x + 1)*(-x**2 - 8*x**3 + x**2).\nAnswer: 120*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2205752?\nAnswer: 2, 275719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39880?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**5\/15 + 5*z**4\/12 + 2*z**3\/3 + 15*z**2. Let c(r) = 0. What is r?\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a224a (base 12) to base 13\nAnswer: 1ba831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8\/9 + 4\/9. Suppose -4*l + 2*t = 4 + 10, 0 = -3*l - 5*t - 17. Let z = 0.41 - 2.41. What is the closest to x in -5, z, l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9428283 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1536662.\nAnswer: 2, 83, 9257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*d**(12\/11))\/d*d)**(-5\/3)\/(d\/(d*(d*d*d\/(d\/((d**(-7)\/d)\/d*d)))\/d*d))**(-43) assuming d is positive.\nAnswer: d**(8344\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1944*g**3 - 648*g**3 - 677*g**3 - 653*g**3.\nAnswer: -34*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 719133 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: Let a be (24\/(-4))\/(-2)*(9 + -8). Suppose -3*r + 198 = a*k, -r - 3 = 2*r. What is the remainder when k is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 34*g - 17. Calculate l(6).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*r**2 + 89*r**2 - 383*r**2 - 7*r**3 + 100*r**2 + 108*r**2.\nAnswer: -7*r**3 - 14*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002696 rounded to 6 dps?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1173 and 35\/253?\nAnswer: 12903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 2*z - 2*z)*(37*z + 20*z - 78*z)*(-2*z - 2*z + 3*z).\nAnswer: 21*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bkqidssd. What is prob of sequence kdi?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -1.8. Which is the second biggest value? (a) v (b) -0.1 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -5\/3 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -244*g**2*v**2 - 48*g + v**2 + v wrt g?\nAnswer: -488*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.816 + -2.43. Let z = 0.256 + g. Round z to two decimal places.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6077306797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -70 * -2427.3.\nAnswer: 169911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.4 (c) 2\/333\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -4*z**4 - 2*z**3\/3 - z**2\/2 - 18. Let q be b(-1). Let r = 2 + -1. Solve -r = -4*x + q for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 4) in base 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 90, 103, 120, 141, 166?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(12*-10))\/((-2)\/(-18))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*c = c - 113, 4*k = 5*c + 215. List the prime factors of k.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 10. Suppose -47 = -5*v + l, 2*v - 3*l = -y*l + 23. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w**2 + 2*w + 3. Let i(a) be the first derivative of -2 - 3\/2*a**2 - 11\/3*a**3 - 5*a. Calculate -7*h(q) - 4*i(q).\nAnswer: 2*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**2\/5 + 922*d\/5 - 462\/5 = 0.\nAnswer: -231, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(60)\/sqrt(4))\/sqrt(5) + -2)**2.\nAnswer: -4*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.043? (a) 7 (b) -0.1 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 0 + 11 - (-8 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4768.298 years in months?\nAnswer: 57219.576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 506856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(190) - sqrt(190) - sqrt(190))*1 + sqrt(190) - sqrt(190))\/(1*sqrt(640)).\nAnswer: -sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1295*i - 63 = -1288*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*v**3\/17 - 92894*v**2\/17 + 1368776*v\/17 + 308760\/17 = 0. Calculate v.\nAnswer: -2\/9, 15, 5146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*y - 37 = 77, -4*y - 184 = -4*u. Suppose -195 = -2*f + 3*v, 5*f + 5*v = 239 + 311. Calculate the greatest common divisor of f and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4941 by 61.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1091 - 53463\/49. Let z = d - -110\/147. Which is the nearest to z? (a) -2\/3 (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 98*t**4 + 145082*t**3 - 665048*t**2 + 344488*t - 47520 = 0. Calculate t.\nAnswer: -1485, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 3*i - 5. Let l(o) = 3*o**2 - 6*o**2 + 5 - 4*o + 4*o**2. Let v be l(4). Determine a(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -0*h + h + 347, 0 = 3*h - 3. Suppose f = 6*f - 4*x - 132, -4*f - 3*x = -p. 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(t) = 13*t**3 + 9*t - 11. Let z(g) = -4*g**3 - 3*g + 4. Let a(c) = -4*k(c) - 11*z(c). What is the second derivative of a(v) wrt v?\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 5. Let d be ((-7)\/2 + -50 + 52)\/(12\/(-72)). Solve -b*i - d + 19 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 1)*(-10)\/25.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(24)\/sqrt(8)) + (4 + sqrt(1872))**2.\nAnswer: 97*sqrt(13) + 1888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10260 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294*w**3 - 231*w**3 + 732*w**3 - 241*w**3.\nAnswer: -34*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 5 - 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of l**4\/4 - 5*l**3\/3 - 7*l**2\/2 + 6*l + 4. What is z(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 31 (b) -3.5 (c) -6 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -3. Suppose q = -f + 2*f - w, 2*f - 4*w = 0. Suppose -5*z = -f*z. Solve 10 = -4*i - 3*o - 10, -2*o = z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, b: 3, p: 5}. What is prob of sequence bcb?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a century in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1214.59 (b) 6\/185 (c) 3 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (-60)\/((-8)\/(-2)). Let g be (-673)\/11 - p\/(-88). What is g rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**3 - 4660*z**2 - 470585*z - 465920 = 0.\nAnswer: -91, -1, 1024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -345.13 + 345. Let h(a) = -9*a**2 - a - 2. Let t be h(2). Let m be (-16)\/t - 12\/5. Is y greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123602566093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 103105461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -4*z - 3*d, 14*d - 30 = -2*z + 6*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -0*o + 40. Suppose 3*c - o = -2. What is the third derivative of -2*r**6 + 0*r**c - r**6 + 2*r**2 wrt r?\nAnswer: -360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**3 + 0 + 9 - 9.\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -2\/3*i**3 + 0*i + 0 - i**2 - 1\/24*i**4. Let h(p) = -p**2 - 6*p. Let x be h(-6). Determine q(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 203\/545? (a) 0.3 (b) 162 (c) 0.2 (d) -0.4 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 1 = g, -2*g + 12 = -0*g - 3*k for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - 2*v + v + (-3*v + v + 0*v)*(4 - 5 + 0) - 2*v + 2*v + v)*(-1 + 6 - 2).\nAnswer: 21*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 10*y**2 + 20 - 9.\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.1054061204446 - 3.\nAnswer: -6.1054061204446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 950957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (11 - -3)) + -21 + 204 + -20 + 5\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0.1, 26, 1501.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-11) + 279\/(-99). Let v be (14\/(-8) - 2)*16\/t. Suppose 4*m + v = -24. Round m to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -15 + 14 - 5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 2:19 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 3 - 0. Does 11 divide 21 - u\/(9\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*n - 194 + 1386 - 352 = 0 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -43 (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -273345 (base 8) to base 6\nAnswer: -2020153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -16. Let g(s) = s**3 - s**2 - 5*s. Let c be g(3). Solve 2*h + 2*h - 23 = -c*f, 0 = -q*f + 5*h + 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -18*c**3 - 2*c**2 + 2*c + 2. Let f(z) be the second derivative of 9*z**5\/10 + z**4\/4 - z**3\/2 - 3*z**2\/2 - 278*z. Give -2*f(s) - 3*q(s).\nAnswer: 18*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - -3. Let h = -16.66 + o. Let j = h + 0.06. What is the closest to -2\/7 in -2\/17, j, 2\/11?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49836.\nAnswer: 2, 3, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - ((7 - -1) + (10 - (38 - 10))).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**2 - 30*f + 11. Let v be l(8). Suppose -i - 1 = 5*u + 5, 18 = -3*i - 2*u. Let k = v + i. Solve -3*d = 3*a + k, 15 - 4 = 3*a - 5*d for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 5)*(1 - 3*g + 0 + g + (0 - 13 + 1)*(-4*g + 2*g + 5*g) + 4*g + 3*g - 3*g + (-2*g + 2 - 2)*(-1 + 1 + 2)).\nAnswer: 76*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1101100000110 (base 2) to base 14\nAnswer: -2742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 4) + (7 + -15 - -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q - 13*q = -12*q + 26. Put 3, 0, 4, 24, q in decreasing order.\nAnswer: 24, 4, 3, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 15 = -u. Let f(j) = -j**3 - 12*j**2 + 5*j - 5. Let w(b) = b**3 + 6*b**2 - 2*b + 2. Let m(n) = u*w(n) + 2*f(n). Solve m(i) = 0 for i.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b + 0*b - 2*b)*(51*b**2 - 9 + 7 + 1) in the form t*b**2 + h*b**3 + x + i*b and give h.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 529*v - 7397 - 8473 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 113237274 and 15?\nAnswer: 566186370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 9*h + 6. Let a be p(6). Suppose -7*y + 217 = -57*y + 967. What is the highest common divisor of y and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58598\/244684*67 + (-5)\/(-11)\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 790 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 2*o - 1, g + o = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1722214831 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -0.94, -0.2, 1.4?\nAnswer: -0.94","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a centimeter in millimeters?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ozzezjjjjejjz. What is prob of picking 1 o, 1 e, and 1 z?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bii when three letters picked without replacement from {b: 2, y: 8, i: 4, u: 1, h: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6640093 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9770, -38909, -87580, -155783, -243518, -350785, -477584?\nAnswer: -623915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -538 - 0.0347459\nAnswer: -538.0347459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -16*c**2 + 12*c**2 + 2*c + 4 + 3*c. Find the first derivative of x(p) wrt p.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 4. Let x be t(-7). Calculate the remainder when (x - -4)\/(2\/76) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/16*2 + (-11)\/(-12). What is the nearest to 0 in i, -1.8, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 12. Suppose -3*n - f = 2*n - 91, -35 = -n + 4*f. Suppose 5*m - 1 - n = 0. Calculate the highest common divisor of m and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 3981978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -205*d + 1599. Determine o(8).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4610, -4901, -5192, -5483, -5774?\nAnswer: -6065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-208)\/(-520))\/((-2)\/10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 1926?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1941912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 5 + -90)*-10. Let d(n) = -2*n + 5. Let x be d(4). What is the tens digit of (t\/30)\/((-1)\/x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2.2, 77, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (3 + -3 - -4) - 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -29*z**4\/6 + z**3\/6 - 11*z**2. Let j be d(-5). Suppose -p + 5319 = -j. What is p rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128, 276, 462, 704, 1020, 1428?\nAnswer: 1946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4615400 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + y - 2. What are the prime factors of c(-4)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + u + 4*n + 22, -3*u + 3 = n. Suppose -s + 15 - u = 0. Suppose -a + 7 = -s. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 * -146521\nAnswer: -2783899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5360 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r - 8. Let k(y) = 36*y - 57. Let m(z) = 15*g(z) - 2*k(z). Let n(w) = w - 2. What is 4*m(i) - 11*n(i)?\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 41874 = -5*z, -n - 10*z + 6*z + 13958 = 0. What is the thousands digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.02363 - 0.47637. Which is the closest to -1? (a) -5 (b) z (c) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 9:53 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2603781?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -504, -382, 366, 1740, 3740, 6366?\n\"Answer: 313*g**2 - 817*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3 = 3*j + 4*g, -3*j + 3*g = -12. Suppose 0 = 4*n + 2*a + 18, 2*n + 4*a + 17 = -7. Sort j, n, -5 in descending order.\nAnswer: j, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121450543.\nAnswer: 1427, 85109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2498 is divided by 169?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 - 2175*c + 2177712 + 4923*c - 2*c**2 + 2364*c.\nAnswer: 3*(c + 852)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 218 + -206. What is the least common multiple of 876 and w?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -24*q - 217. Give p(-4).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 210938, 843800, 1898582, 3375284?\nAnswer: 5273906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 771*a**2 - a - 2. Let q(m) = -386*m**2 + m + 1. What is -5*q(r) - 3*z(r)?\nAnswer: -383*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-126)\/(-10))\/((-142)\/(53250\/225))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8245\/4 + 2062. Let o = -93 + 92.994. What is the second smallest value in a, 0.04, o?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -100*z**2 + 7*z + 502. Let p(y) = -432*y**2 + 30*y + 2175. What is 7*p(s) - 30*q(s)?\nAnswer: -24*s**2 + 165","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1129024503 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6*u + 6 = 0. Let c = -69 + 72. Let o(v) = c*v + 1702 - 1702. Determine o(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(7*11\/(-77))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 10*t + 8. Let i be p(-9). Let w be (1 - i)\/((-1)\/(-2)). Suppose 3*o = -2*o + 2*x + 181, -w*o = 3*x - 154. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**4 + 7*z**2 - 6. Let u(s) = -s**2 + 1. Let k(n) = -d(n) - 4*u(n). Let g(m) = 3*m**4 + 6*m**2 + m - 5. Let c(x) = 2*g(x) + 5*k(x). Factor c(l).\nAnswer: l*(l - 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46821 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.15 + 0.2. Let b = 12.05 - u. Let g = b + -11.9981. Round g to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -35*c. Let v(y) = -18*y**2 - 50*y. Let n(x) = 18*x**2 + 40*x. Let b(w) = -5*n(w) - 4*v(w). Determine k(b(r)).\nAnswer: 630*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 54?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112062?\nAnswer: 2, 3, 19, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 15 = 3*j, 0 = 3*n - 5*j + 16. Suppose -167 = 3*y + z + 3*z, 0 = n*z + 6. Let w = -51 - y. Solve -m = -l + 3*l + 2, 5*m = w*l + 26 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 367 - r + 334 + 152 - 133.\nAnswer: -r + 720","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -150 + 259. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.19, 77, 1\/5, -24.42 in descending order.\nAnswer: 77, 1\/5, -0.19, -24.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3042 and 94021122?\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -61*u**2 + 3*u + 2. Let k be a(-1). Let f = -29 - k. Suppose -2*c - r = -24 - f, 0 = c - r - 36. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33*(11 + (-40)\/4 + (-3 - -1)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66 - 67 - (-5 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 359771765?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -485 + 484.761. Let g = 0.815 + j. What is g rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -9*q + 41. Let y be t(4). Suppose 2*i = -4*m + 10 + 12, 4 = 3*m - i. Suppose y*s = 7 + m. Solve -j = s*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -11*g + 74 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -823\/8, 80 in decreasing order.\nAnswer: 80, 22, -823\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ac0b - -4?\nAnswer: -ac07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 2 + 10. Suppose 2*n = 3*m, 0 = -5*n + 2*m - 4*m. Let l(u) = u**2 - 7. Let s be l(-3). Solve n = -c + 2*q + s*q + 10, -x = -5*c + 4*q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-3 + 7)*-5. Suppose -3*l - d*n = -108, -n - 167 = -3*l - l. Suppose 3*q - 203 = 2*f, -3*q + l + 177 = f. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = x + x, 42 = 5*i + 3*x. Let c be -2 + 1 + i\/6. Determine w, given that 0 + 0*w + c*w**2 + 1\/2*w**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 399 and 342.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**4*a)\/(a*a*((a**(-17)\/a)\/a)\/a*a) assuming a is positive.\nAnswer: a**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 156392 to the power of 1\/2, to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 2*m - 10, -11 = -4*h + 2*m - 1. Suppose 3*q - 4 - 1 = 2*l, 5*l + q - 13 = h. Suppose 0 = -l*w + 57 + 9. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 5 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14349 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3234075?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 106*x + 2961. What is o(-129)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 869551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 20 = 3*o, -m = 5*o - 5*m - 16. Let f(p) = p**2 + p + 3. Let l be f(o). Suppose 19 + l = k. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**4 + 402*g**3 - 8169*g**2 - 27366*g - 18792 = 0. Calculate g.\nAnswer: -2, -1, 29, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 35, -7.\nAnswer: -7, -3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2497, 4979, 7461?\nAnswer: 9943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 12 = -20. Suppose -p - p = w. Let f(i) = -2*i**3 - 5*i**2 - 2. Is f(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 18346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + u. Let p = -38 - -44. Suppose p = -6*x - 0. Let o(r) = r**3 + 6*r**2 - 3*r. Let a(g) = x*o(g) - 3*h(g). Find b, given that a(b) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7253001*s**2 + 7855265?\nAnswer: 14506002*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6601?\nAnswer: 7, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*p + 2)*(-3*p**4 + 0*p**4 - p**4)*(-9 + 7 - 25) + (0*p**5 - p**5 + 3*p**5)*(11 + 23 + 36).\nAnswer: 356*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3329\/8 - 9*(-7)\/(-504). Suppose 2*t + 4*i - 60 = 0, 0*i - 122 = -5*t + 4*i. What is the greatest common factor of l and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 11:48 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*0\/(4\/2). Let l be (-3)\/(0 + -1) + i. Solve -4 = l*t + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 10*r - 43. Calculate k(-10).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67 + 62. Suppose -764*j + 6 = -761*j. Which is the nearest to 1\/3? (a) j (b) i (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - x + 12 - 7 = 0, -15 = 3*x. Suppose 19*m = 15*m + 8. What is r in 71 + 2*r**k - 59 + 10*r + 0*r**m = 0?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00067222 rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 165 and (-9416)\/6*(-396)\/264.\nAnswer: 35310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 19*g + 61. Let y be z(4). Does 3 divide y\/(-6) - (17144\/(-48) + -13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -2. Let x(m) = -3*m - 7 + b + 8*m + m**2 - 6. Calculate x(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 541 = -137. Let z = -709\/7 - k. Let v = 4 - 2. Which is smaller: z or v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 387 and 731?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 24 = -4*n, 5*m + 32 = 22 + 10 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38 - 23 + 254*x**2 - 15 + 195*x**2 to the form m*x + q*x**2 + a and give q.\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*c**3*k*w**2 + 6*c**3*k - 8449*c**3*w**2 - 3*c**2*w**2 + c**2*w + 3548*c*k*w + w**2 + 5*w wrt c?\nAnswer: 24*k*w**2 + 36*k - 50694*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2754326?\nAnswer: 2, 691, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 254*l + 2286. Let q be g(-9). Let n be (-2)\/7 - 60\/(-14). Suppose -z - n = -3*z. Solve q = -0*j - z*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6397428*l**3 + 1764290*l**2 wrt l?\nAnswer: -38384568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5, -242, -651, -1226, -1961?\n\"Answer: s**3 - 92*s**2 + 32*s + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21209 is divided by 731.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 2\/3 (c) 14 (d) 2 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*a - 16. Let w be (-5 - -4)\/(1\/a). Suppose w*m - 3*m - 28 = 0. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38647, -38645, -38643, -38641?\nAnswer: -38639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -3\/2830, 1, -133?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.3 - -2.3. What is the nearest to -1\/4 in -1.4, p, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 3*c - 111. Suppose -15 = -v - 5*s, 4*v + v - c = -4*s. Calculate the remainder when 27 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**3 - d**3 + 2*d**3)*(3*d - 3*d + 2*d**2 + (0*d - 2*d - d)*(-2 - 4*d + 2)) - 2 + 2 + 3*d**5.\nAnswer: -25*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**2 - 3840*x - 53564 = 0.\nAnswer: -3826, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 - 1885*y**2 - 87100*y + 589380.\nAnswer: 5*(y - 418)*(y - 6)*(y + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 5 - 168\/70*(-10)\/4.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5899 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -13*q + 17*q - 3*s, 5*q + 5*s = -70. Let x(v) = -v. Give x(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = s - 0*s. Suppose s*x = 781637 + 12618363. What is x rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*s - 28*s = 6. Let z be (-6)\/(-1) - 0\/(-9 - s). Solve 3 - z = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 3 + 5)*(8*w**2 - 5*w**2 - 7 - 5*w**2)*(-3*w**3 + 4*w**3 - 2*w**3).\nAnswer: 20*w**5 + 70*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 97 by 218416.\nAnswer: 97\/218416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or 121855?\nAnswer: 121855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + -2 - -4)*3. Solve 2*s - 10 = -3*f, 0 = -5*f + x*s + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 481160912?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 981.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -187*y + 2. Let g(m) = m. Determine x(g(p)).\nAnswer: -187*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 6 = -12 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9257274, 18514539, 27771806, 37029075, 46286346, 55543619?\n\"Answer: a**2 + 9257262*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45725 and 125.\nAnswer: 228625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175773039.\nAnswer: 3, 13, 271, 16631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1806, -7212, -16230, -28866, -45126, -65016, -88542, -115710?\n\"Answer: -d**3 - 1800*d**2 + d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3989175?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49622 and 172.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - d + 5*l = 15, 0 = -4*d + 2*l + 30. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*o = 42. Let f = 14 + o. Solve f = 4*i - 12 - 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4248065 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + -5 + 3 + -2. Suppose u = -0*c - 2*c + 8. Differentiate 10*w**4 - 3 - 5*w**c - w**4 with respect to w.\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4\/45, 5\/128 in ascending order.\nAnswer: -4\/45, 5\/128, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4. Suppose -16*g + 768 = 21*g + 27*g. Let c(a) = -a - 1. Determine g*c(u) + 3*b(u).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 - 4*a**3 + a**2)*(3*a + 3*a - 2*a)*(-1 + 1 + 4).\nAnswer: -64*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6470 is divided by 101?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a day in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-16) - 234\/8. Let x = f + 47. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*s - 32*s + 115 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/4, -30 in increasing order.\nAnswer: -30, -3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 5*h**2 + 5*h - 8. Let w be y(-6). Let a be (-11)\/((-11)\/86)*(-3 - w). Let b = a + 101. Solve 5*g + 5 = b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 92955899 = -22743919. Suppose -5*t = 3*m - s, m - 5*t = 6*m - 29254995. Round m to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2. Let z(c) = 33*c - 148*c + 38*c + 41*c - 6864 + 35*c. Calculate z(t(f)).\nAnswer: -f**2 - 6864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1083604*p**3 + 1083595*p**3 - 2167201*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 924986.5ng in kilograms?\nAnswer: 0.0000009249865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1617?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 838 - 806. Determine g so that 128\/3*g**5 - 488\/3*g**3 - c*g + 32*g**4 - 382\/3*g**2 - 8\/3 = 0.\nAnswer: -2, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l**3 - 1430*l + 480*l + 474*l + 476*l + 25*l**3.\nAnswer: 32*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a**3 - 7*a**2 + 12*a + 21. Let v(c) = c**3 + 2*c**2 - 3*c - 5. Let d(i) = 9*v(i) + 2*y(i). Determine d(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 475, -7, -2?\nAnswer: 475","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15647 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3276\/16 + (-7)\/(-28). Suppose -3*f + 172 - r = 0. Let i(g) = 4*g**2 + 9*g - 6. Let o(k) = -7*k**2 - 17*k + 11. Calculate f*i(s) - 6*o(s).\nAnswer: -2*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -57070*0.103\nAnswer: -5878.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.48 (b) 0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(16)\/(3*sqrt(8)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -54 - -4 - (75 - 105)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 c, and 1 p when three letters picked without replacement from sciiptitssississi.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -155 - ((1 - 9) + 4). Let d = 165 - s. What are the prime factors of d?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10298 (b) 3 (c) 0 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 q when four letters picked without replacement from ppqqppqpppqpppqppp.\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -120036 (base 11) to base 7\nAnswer: -1422010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(14\/2))\/((-2)\/8).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/3 (b) 6\/7 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 + -47. Let g(n) = -n**3 - 5*n**2 + 8*n - 5. Let w be g(d). Solve a**4 - 41*a**3 + w*a**3 + 3*a**2 - 2*a**2 - 2*a + 4*a**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/64 of a hour?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -5, -0.3, 7, -0.01 in decreasing order.\nAnswer: 7, -0.01, -0.3, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-14)*w)\/(w*w**(-8\/5)) assuming w is positive.\nAnswer: w**(-62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1336?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021837 to the power of 1\/2, to the nearest integer?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*c = 59*c. Suppose -w + 8*w = c. Which is smaller: w or -1\/99?\nAnswer: -1\/99","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-16 - (13 + -14)) + -27 + 19.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in 4, 1\/2, -0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*t - 29 = -1395, 4*t + 687 = s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**3\/21 - 446*q**2\/21 + 16510*q\/21 + 999998\/21 = 0?\nAnswer: -31, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4992 + -34931\/7. Let g = -194165\/77 - -2522. What is the common denominator of g and z?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**2 + 7*k - 8. Let x be n(6). Suppose 2*i + l + 3*l - 60 = 0, -5*i = -4*l - x. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*o = 64*o + 2720. What is o rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8510 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2848 divided by -6.\nAnswer: 1424\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**4\/24 + 2*y**3\/3 - 18*y**2. Give h(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 7. Let n be g(5). Suppose s = 2*d - 7*d + 24, 0 = -4*d - n*s + 24. Suppose 0 = -j - j + d. Solve -3*f = j*f + 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 6:29 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(13\/((-39)\/9)*(-23)\/(-6))\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6094520 take away 2822.6?\nAnswer: -6097342.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 14*h**2 + 11*h - 2. Let v be c(-4). Find the second derivative of 121*n - 6*n**5 + 59*n - 188*n**2 - 13*n + v*n**2 wrt n.\nAnswer: -120*n**3 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 13001?\nAnswer: 12330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -5*y**3 + 5*y**2 + 11*y - 12. Is z(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93376262?\nAnswer: 2, 7, 79, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 8*n + 37. Let o be q(-3). Let f(v) = -7*v + 1. Let i be f(-2). Suppose -o*z = -i*z + 254. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -5211 - -234481\/45. Let b be (-2)\/5*2\/36. Let u = b + p. Which is smaller: u or 30?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14023 - -12536. List the prime factors of a.\nAnswer: 3, 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (39 - (15 + 4)) + -37\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 9. Let w = p - 5. Let k = w + 7. Calculate the highest common factor of 33 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 6*p + 4. Let u = 2 - 5. Let v = 3 - u. Let q be j(v). What is the highest common factor of q and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**4\/8 - 76*a**3\/3 + 5925*a**2\/4 - 5625*a - 2021. Factor y(d).\nAnswer: (d - 75)**2*(d - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3627, 0.2, 35 in decreasing order.\nAnswer: 35, 0.2, -1\/3627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 266 and 84.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/175 and 27\/5.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**3 - 2*v**2 - v + 1. What is q(-2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (86*h**2 - 188*h**2 + 91*h**2)*(-12*h**3 - 8*h**3 + 5*h**3) + 4*h**5 - 5*h**5 + 3*h**5.\nAnswer: 167*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2208 - 2181. Which is smaller: 60 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -3*d - 25. Suppose d*i - 5*r = -2*r + 5, 0 = -3*i + 4*r - 8. Let n be (-2)\/i*(-6)\/27. What is the second biggest value in 0.4, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17027182 to the power of 1\/3, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + y + 27243 - 27230 = 0, 2*g = -y + 7 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b98 + -4?\nAnswer: -ba0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 39 + 241 = 0. Let g be 7\/(-28) - (-2)\/k. Which is the closest to -1? (a) 4\/7 (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 54130 - -441?\nAnswer: 54571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ayyyyxpj. What is prob of picking 1 a, 1 j, and 1 x?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 m when four letters picked without replacement from ommoomommmmomooommom.\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*n**4 + 2*n**3 - 23621*n**2 + 3*n - 191621.\nAnswer: 48*n**2 + 12*n - 47242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g + 11. Let p be d(5). Let k = 9 + -11. Put k, 4, p in descending order.\nAnswer: 4, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.33 - -0.03. Let l be (-9 + -3)\/4 - -10. Sort -2\/3, l, y.\nAnswer: -2\/3, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*n**3*y**3 - 2117*n**3*y + 8*n**3 + 97850*n**2 + 1147*n*y**3 wrt n.\nAnswer: 96*y**3 - 12702*y + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22.501 + -0.401. Let t = 2 - c. What is t rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 364837 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2575927 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 34, 79, 160, 283, 454, 679, 964, 1315?\n\"Answer: b**3 + 12*b**2 + 2*b + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 98 - 104. Let n(j) = -7*j**3 + 23*j**2 - 3*j - 11. Let p be n(3). Sort p, -1, m, -3.\nAnswer: m, -3, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171759 equal to 1030555\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-6))\/((-25)\/20)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.11 - -1.31. Let x = -1.1 - -1.3. Let i = x - s. Which is the second biggest value? (a) 1 (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s + 2. Let c be w(2). Suppose c*d + 4 = 6*d. Suppose 0 = 5*z - 2*b + 2, -z - d = 3*z - 2*b. Solve -l + 4 = -z*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8366772 weeks to nanoseconds.\nAnswer: 506022370560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 710932*i + 9242110. What is q(-13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13795003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 399*j = -394*j - 33, -6 = 2*d - 2*j for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 + -0.2. Let z be (-3 + 6)*4\/18. Let g be 2\/(-3) + (-10)\/3. Which is the smallest value? (a) z (b) q (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1416, -1074, -512, 264, 1248?\nAnswer: 2434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2034295 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, l: 2, b: 2, t: 1, c: 1}. What is prob of picking 2 l and 2 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2*(sqrt(275)*1 - sqrt(275)) + sqrt(275))**2 - sqrt(275)).\nAnswer: -5*sqrt(11) + 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -26*d**2. Let c(n) = 9*n**2. Let f(l) = -16*c(l) - 5*i(l). Let a(j) be the first derivative of 4 + 1\/2*j**2 + 0*j. Calculate f(a(y)).\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.1195183521 * -4\nAnswer: 0.4780734084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34384 and 176?\nAnswer: 378224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42312460.\nAnswer: 2, 5, 37, 57179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - k + 1. Let r = -18 + 30. Suppose -8 = -4*d - r. Let w(p) = 5*p**2 - p - 12. Let m(x) = d*q(x) + w(x). Differentiate m(t) wrt t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.31669 rounded to one decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**2. Let t(c) be the third derivative of 7*c**5\/20 + 2*c**3 - 6*c**2. Let z(o) = -o**2 - 1. Let g(n) = -t(n) - 12*z(n). Determine g(y(l)).\nAnswer: -36*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 60711516 take away 2379420?\nAnswer: 58332096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**48*s)\/s**(-32)*(s*s*s**(-48)*s)\/(s**(6\/11)\/s) assuming s is positive.\nAnswer: s**(401\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/5 (b) 58839 (c) -2 (d) 3 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5437536.3 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 9*i + 5 + 5*i - 2 as d + n*i and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 157 = -9*a - f, 0 = -152215*a + 152210*a + f + 83 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7656981 is divided by 10223.\nAnswer: 10177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 13 = 5*y, -4*w + 5 = 2*y + 7. Let a be 15*(-4 + y) + -3. What is a rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 310411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2388411132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2690, 2732, 2812, 2930, 3086, 3280?\nAnswer: 3512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, -4, 9.709, 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 51, -5 in descending order.\nAnswer: 51, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*a + 179, -169 - 40 = -3*r - 4*a. What is the greatest common factor of 36 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 674593849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4182679869 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2 - 76638*k + 383177. What is i(5)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 52. Let j be (2\/4)\/(2\/(-24)). Is 17 a factor of ((-6)\/(-3))\/(j\/q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/((-25)\/(-6))*(-2 - -17). Let f = -8 + u. Calculate the least common multiple of 2\/3 - 160\/(-12) and f.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20\/693 or 0?\nAnswer: 20\/693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/33 and 11\/699.\nAnswer: 7689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 108 and 0.4.\nAnswer: 43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -873430 to the nearest ten thousand.\nAnswer: -870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*k - 111*k - 115*k + 342*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 5*d**2 - 7*d + 4. Let r be z(-6). Let s(a) = -21 + 21 + r*a**2. Let u(k) = -k. What is u(s(n))?\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 1614.\nAnswer: 1614.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + l - 2*l**3 + (-5*l**2 + 3*l**2 + 0*l**2)*(4*l - 28*l - 17*l).\nAnswer: 80*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-14)\/(-49)*(-14)\/8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -5, -4, -361, 115.\nAnswer: -361, -5, -4, -1, 0, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.8 + -10.2. Let q = -52.16 - -65.175. Let x = q + i. Round x to three dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 + -1 - -1 - (36 - -8 - (69 - 16)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 139, 150, 183, 250, 363, 534?\n\"Answer: 2*d**3 - d**2 + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112330 + -22?\nAnswer: -112402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**3 + 5*i**3 - 2*i**3 - 9*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, g: 1, k: 1, u: 8, w: 1, b: 1}. What is prob of picking 2 u, 1 g, and 1 e?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((2 - -214) + -1)*1. Suppose 43 + f = 6*q. Suppose -k - 27 = -q. What is the remainder when 56 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o**2 - 4*o + 3. Let l(d) = -11*d**2 - 7*d + 7. Let h(z) = 7*j(z) - 4*l(z). Let a(x) = 5*x**2 - 4. What is -7*a(p) + 4*h(p)?\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -112, -225, -338, -451, -564, -677?\n\"Answer: -113*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 - 174 = -l. Suppose -l*x + 73600000 = -7*x. What is x rounded to the nearest 1000000?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/5 or 840?\nAnswer: 840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**12*k)\/k)\/k*((k\/(k\/k**(-9))*k*k)\/k)\/k)\/(k\/(k\/k**(1\/11))*k*k*k**(-2\/11)*k*k*k) assuming k is positive.\nAnswer: k**(-32\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/n**(-20)*n)*n**18*n**(-1)\/n**(6\/7))**(-17) assuming n is positive.\nAnswer: n**(697\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**4\/12 - 76*s. Let x(c) be the first derivative of 2 + 1\/2*c**2 + 0*c. What is y(x(o))?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1747 + -119. Suppose -4*a + 8*a = -p. Let j = -202 - a. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j**2 + j. Let f = -11 - -5. Let v(i) be the first derivative of -7*i**3\/3 - i**2\/2 + 1. Calculate f*h(g) - 5*v(g).\nAnswer: -g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m - 11. Let q(f) = -3*f + 5 + 3*f + 4*f - 17. Let i(k) = 6*c(k) - 5*q(k). Differentiate i(v) wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 4*z = -4*p - 24, 5*p + 2*z = -33 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 7:27 AM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -983*m**2. Let f(k) = -2*k**2 + 696*k. Calculate f(q(i)).\nAnswer: -1932578*i**4 - 684168*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**3 + 375154*g**2 + 154776*g + 2.\nAnswer: 12*g + 750308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 3*y**2 + 9*y + 3. Let q be l(-6). Let g = q - 54. Solve -3 = -6*z + g*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 144*s*v**2 - 143*s*v + 160357*v**2 with respect to s.\nAnswer: 144*v**2 - 143*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + -2)*40\/16. Solve m = 4*u - 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 442312 divided by 110578\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 divided by -14?\nAnswer: -72\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2 = 22. Let n = -15 - -15. Suppose n = -4*w + z + 2*z + 36, -2*w + 16 = -z. What is the lowest common multiple of w and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1131908*b*c**3 - 646102*c**3 + 2 wrt b.\nAnswer: -1131908*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 13. Let y(b) = -11*b**3 - 3*b**2 + 4*b - 10. Let q(p) = 26*p**3 + 5*p**2 - 7*p + 21. Let c(a) = -3*q(a) - 7*y(a). Give c(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 959*z**2 - 17*z + 9. Let u(f) = 478*f**2 - 8*f + 4. What is -4*n(y) + 9*u(y)?\nAnswer: 466*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5711529.7 - 26.7.\nAnswer: 5711503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/3*-458*3 - (-1 - -3) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -108.5 - -59. Round k to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 12:59 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*m = 16. Suppose n + 3 - m = 0. Solve n*b - 5*j = 4*b + 17, b = 4*j + 13 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106871 divided by -6.\nAnswer: -106871\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 9460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 - 686*z + 1368.\nAnswer: (z - 684)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-6\/13)*n*n*n*n\/n**18*n*(n**(-11\/2))**(-27) assuming n is positive.\nAnswer: n**(3511\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23 or 10?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2 + 6. Let i be -13*3\/(-3) + 0. Solve -33 + i = -r*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 98673 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-3))\/(((-355)\/(-18))\/(-71)). Suppose 0 = -3*q + 2*q - 4. Let o be (-280)\/(-966)*d\/q. Which is smaller: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/19 (b) -121 (c) -11539 (d) 2 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3\/4, -65\/926 in decreasing order.\nAnswer: 3\/4, -65\/926, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18747 + 122562. Suppose 0 = -2*c + 5*l - w, 2*c - 2*l + 57394 + 46412 = 0. Round c to the nearest one thousand.\nAnswer: -52000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -23. Solve 4*c + 5*u + 13 = c, -d*u - 6 = -2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 848 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20850873*s**2*t**2 + 278*s**2*t - 8*s**2 + 51*s*t + t + 8 wrt t?\nAnswer: 41701746*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19424 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + h - 9 = 0, -3*h = 2*l - 4*h - 6. Solve t + 0*t + l = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 3*b**2\/2 + 1413. Let y(t) = -13*t**2 - 29*t**2 - 5*t**2 + 5*t**2. Give y(w(o)).\nAnswer: -378*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1216*q = 42*q + 35344 + 14976 for q.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297144 is divided by 604?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 2731318\nAnswer: -3\/2731318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n - 27. Let l be s(6). Let m be (l - 85\/15)*3\/(-2). Solve j - m*j + 3 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4967*y + 48 = 4959*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1792 - -1804. Let t(l) be the first derivative of h*l - 18 - 1\/2*l**2. Calculate t(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5656 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i - 245 - 1355*i**3 - 487 + 236 - 1336 + 475*i**3 with respect to i.\nAnswer: -2640*i**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6336, 12759, 19274, 25881, 32580, 39371?\nAnswer: 46254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 13 + 50*s - 15\/2*s**2 - 20\/3*s**3. Suppose q(m) = 0. What is m?\nAnswer: -2, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13953601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1 + sqrt(171) + -2 - sqrt(171)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/91 or -0.054?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -35 and -32 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4223 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: Calculate the least common multiple of 13658 and 85458.\nAnswer: 583592682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -172461 divided by 57487\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 943 is divided by 67?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 + -15)*(3 + (-5 - -1)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2126 and 17.318470809.\nAnswer: 2143.318470809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 123*t - 119*t - 400, k - 146 = 5*t. Solve -3*f + 20*f - k = 0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 8) to base 12\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 3*q**2 - 3*q - 4. Let h be j(-4). Let t be (27\/(-2))\/((-4)\/h). Let v = -15 - t. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2093*j**2 + 3383*j**2 - 9 + 9 + (-3 - j**2 + 3)*(-4 - 1 + 4) - 4*j + 4*j - 3*j**2 + 11*j**2 + 0 + 0 to the form f + c*j**2 + k*j and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3, -16, -27, -30, -19, 12, 69?\n\"Answer: r**3 - 5*r**2 - 5*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o - 23*o**3 + 4*o + 16*o**3 + 35*o**3 + 3.\nAnswer: 28*o**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3920113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 + -123?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 4. Let w(b) = -b**3 - b - 2. Let q be w(k). Let x(i) = -4*i**2 - 3. Let l(v) = 6*v**2 + 4. Let a(m) = -5*l(m) - 7*x(m). Determine a(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**2 - 5*a**2 + 2*a + 0*a + (-3*a + 5*a + 0*a)*(0*a + 5*a - 4*a) - a**2 + 2*a**2 - 3*a**2 + (-22425*a + 22425*a + 18*a**2)*(-4 - 2 + 4).\nAnswer: -40*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.61213 to 2 decimal places.\nAnswer: -2.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236567?\nAnswer: 181, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 18.4 (b) -0.33 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2055000 rounded to the nearest ten thousand?\nAnswer: -2060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -139\/50 + -7\/100. Find the common denominator of t and (-86)\/(7 - 2 - 49).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5065324611 a multiple of 4573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -80\/13316721 and -7\/403537?\nAnswer: 13316721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/9)\/((1452\/44)\/(-990)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, s: 1, o: 1, p: 1, r: 1}. Give prob of sequence spo.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56 + 10209\/(-166))*14\/66?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4 = -3*k - 6*g, -4*g = 8. Solve -k*h + h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 1 - (-2 + (-8 - -14 - 7)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 3*a + 2. Let v be y(-4). Let r = 46 - v. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 901 + -711.4. Let v = 184 - n. Round v to one dp.\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f - 13*f - 10*f + (0 + f + 0)*(2 - 1 + 2) + (2*f + f - 5*f)*(2 - 2 + 2) + 1 - 1 + 2*f + (-f - 2*f + 5*f)*(1 - 3 + 4) in the form z + n*f and give n.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*y + 2 = 0, -9*z - y = -6*z - 7. Suppose 0 = -3*x + 9 - 0. Differentiate 4*n**x - 6 - z*n**3 - 5*n**3 + n**3 wrt n.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19186 is divided by 136.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1674 + 40201\/24. Find the common denominator of -68\/33 and g.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m**3 - 2 - 2*m**3 - 3*m**2 + 3*m + 0 + 0*m**3. Let x be n(2). Let o = 22 - x. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1844 - 1841. Let p be -2 + 1\/((-3)\/(-51)). Suppose p = -3*u + m*t + t, 3*t - 13 = 4*u. Is u bigger than -30\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 95 + -93. Suppose -6*l = -d*k - l + 2083, -3*k + 3115 = 2*l. Is 34 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 99.01516l?\nAnswer: 99015.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 7*v**3. Let k be i(1). Let z be k\/85 - 2\/10. Sort z, -3\/2, -5 in descending order.\nAnswer: z, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 divided by -24142.\nAnswer: 31\/12071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -108.3 in -2, 11, -6.94?\nAnswer: -6.94","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25.8 - -9.2. Which is the nearest to 0? (a) p (b) -0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/34 and 69\/4250?\nAnswer: 4250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 5) in base 16?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h + 62. Let o be r(12). Let -58*k**2 + 5*k**4 + 53*k**o - 45*k**3 + 45*k - 2*k**4 + 2*k**4 = 0. Calculate k.\nAnswer: -1, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 0. Suppose j*z - 6 = 4. Suppose 0 = 4*a - z*y - 186, -5*a + 2*y + 262 - 28 = 0. Does 24 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 233 - 235. What is the closest to -1\/37 in a, -0.2, 0.4, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**4\/4 + i. Let r(s) be the first derivative of 3*s**2\/2 - 1. Determine h(r(y)).\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 5*k - 112 = -73, 4*k = 4*f + 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*y**2 + y**3 + 59*y**2 + 12*y**2 + 14960 - 14960.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -13*r**2 + 28*r - 10. Let u(y) = 17*y**2 - 42*y + 14. Let b(j) = -5*u(j) - 7*w(j). Let d(x) = -2*x**2. What is b(d(v))?\nAnswer: 24*v**4 - 28*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -6. Let s(n) = -n**3 + 4*n**2 - n + 2. Let t be s(4). Let w = t + r. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 360 and 84690.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/33)\/(2532\/11394).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1353927879 to the nearest integer?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -199\/459 - -8\/17. Let i(r) be the third derivative of 0*r - 1\/270*r**5 - v*r**3 + 2*r**2 + 0 + 1\/54*r**4. Find w, given that i(w) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -11*x**2 + 23*x + 14. Let c(m) = -6*m**2 + 12*m + 7. Let q(n) = 5*c(n) - 3*s(n). Is q(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -14938.02838726\nAnswer: -14932.02838726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*r - 2*f, -2*f = 0. Let x(o) = -o**3 + 397. Is x(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 e when two letters picked without replacement from botbe?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/2 and 221954 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 (base 10) in base 4?\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h + 17. Let k be n(-4). Let v be ((-24050)\/(-1))\/(1\/10*k). What is v rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24188 - 24185. Solve d = -3, -d = -c*t - 158 + 167 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f. Let q(s) = 53304797*s. Give r(q(l)).\nAnswer: 106609594*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4588\/5*a + 2631218\/5 + 2\/5*a**2.\nAnswer: 2*(a + 1147)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -1563*j + 23277. What is v(14)?\nAnswer: 1395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.91 - -0.01. Let m = z - -2. Let y = 3.2 - 3. Which is the second smallest value? (a) y (b) -2\/11 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -1995*c + 53859. Calculate f(27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1022, 4097, 9216, 16373, 25562, 36777, 50012, 65261?\nAnswer: 82518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 r, and 1 f when three letters picked without replacement from {f: 2, a: 4, r: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, z: 1, k: 1, t: 1, l: 1}. What is prob of sequence zks?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z**3 - 2*z**2 - 3*z - 3. Let c(x) be the first derivative of -x**4 + 2*x**3\/3 + x**2 + 2*x + 65. Let u = 22 - 25. Calculate u*c(w) - 2*s(w).\nAnswer: 4*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ca when two letters picked without replacement from accac.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a - 1 - 1 + 3 + a**3 + 0 - 5 + a**2. Calculate j(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 8 = -m - 0*m, 0 = 5*m + x - 8. Solve 3*v = -m*v - 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 17107, 69299, 156285, 278065, 434639, 626007, 852169?\n\"Answer: 17397*r**2 + r - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1328*b*p**2 + b*p + 4*b - 3*p**2 - 3851*p wrt b?\nAnswer: 1328*p**2 + p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 283523134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 416\/(-48)*(-18)\/(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4024\/4527*36\/(-8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -99614215 or -1?\nAnswer: -99614215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v**2 + v**2 + 4*v**2)*(4 - 6 + 1) + (-2*v**2 + 5*v**2 - v**2)*(0 + 2 - 3) as h + x*v**2 + r*v and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1024 - -44212?\nAnswer: 100241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 23335*-342.1\nAnswer: -7982903.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.1, 5\/18, 0.02, 1\/6, -2\/3 in decreasing order.\nAnswer: 4, 5\/18, 1\/6, 0.1, 0.02, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 155, 482 in decreasing order.\nAnswer: 482, 155, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 - 3)*(2*g**2 - 3*g**2 + 0*g**2) + (-3 + 3 + 2)*(3 - 2*g**2 - 3) - g**2 + 3*g**2 - g**2 to t + m*g**2 + o*g and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -10. Let n = 2\/31 - -25\/93. Let s = -1 + 0.9. Which is the closest to s? (a) -3 (b) n (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(200)*-1)**2.\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000461873 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -13, 3\/7, -102, 0.2, 5 in descending order.\nAnswer: 5, 3\/7, 0.2, 0.05, -13, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 317506 and -1.\nAnswer: -317506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6878?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (2 - 0 - (-349 + 351))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15663082 is divided by 5221025.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.514 times -40?\nAnswer: 20.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 20*s**2 - 2*s + 1. Suppose -5*d + 20 = 5*a, 0*d - 8 = -2*d + 3*a. Suppose 3*v - 7 = -d. Is l(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1731a126 + 2?\nAnswer: 1731a128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 88365187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 5. Let i(n) = n + 3 - 3. Let o be i(4). Suppose o*r = -0*r - 16. Calculate x(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 12652180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21364 + 60232\/3. Let k = 6421\/5 + j. Let i = -3369\/2 - -1644. Calculate the common denominator of i and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/91 and -47\/33169332?\nAnswer: 431201316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-61*r**2 + 61*r**2 + 11*r**3)*(0 + 2 + 0 + (-4 + 5 - 2)*(-2 - 1 + 5) + 2 - 3 + 0 - 1 + 0 - 1) in the form q*r**3 + g + m*r**2 + w*r and give q.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114231604.\nAnswer: 2, 28557901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -2*l**3 + l**5 - 1\/2*l**2 + 0*l + 3\/4*l**4 - 12. What is the third derivative of n(z) wrt z?\nAnswer: 120*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29.62 + 28.113. What is t rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + -32. Suppose -y = -5*y - m + 382, -f*m = 4*y - 378. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193936147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 12:34 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 17845337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 132 from -266662.\nAnswer: -266794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1322 - 682. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87 - 29. What is the remainder when w is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 137*x + 1209*x + 639*x - 6*x.\nAnswer: 1979*x + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 5*u + 17 = -2*h, 3*u = -h - 10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -346 - -348. Suppose -s*j + 3*r - 2087 = -6*j, -4*r + 512 = j. List the prime factors of j.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2442 * -0.056\nAnswer: -0.0136752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 737301.1 millimeters in nanometers?\nAnswer: 737301100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -1. Let f(g) = -g - 1. Let c(h) = f(h) - 2*i(h). Let l = -16 - -9. What are the prime factors of c(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 5*r - 4 = 12, 3*b = -5*r - 19 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 14 = 0, -94*f = -4*y - 98*f + 8 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18338 - 260?\nAnswer: 18078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and 530657.\nAnswer: -5837227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + f = 24 + 25, -5*l + 135 = 5*f. Let y = -2096 - -2179. Calculate the remainder when y is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 5:50 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 193 + 538. What is the highest common factor of 43 and h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 638940646.\nAnswer: 2, 113, 241, 11731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1476284?\nAnswer: 2, 369071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 650*b**3*o + 14*b**3 + 14*b wrt o.\nAnswer: 650*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 179345 - 18651547\/104. Let w = x - 25\/8. Is w smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 533720 to the nearest 10000.\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 34. What are the prime factors of c(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 2 + sqrt(325))*-5 + 5)**2*-4.\nAnswer: -33400 - 3000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuiizzzuzizzziiziizw. What is prob of sequence ii?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/1 - 11*-1. Suppose s = -k + 3*l, l + 1 - 5 = 0. Suppose -4*a = -k*i - 74020, 4*i - i - 2*a = -55510. What is i rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -1220*v + 11575. What is the thousands digit of u(-26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -3. Let i be (9\/2)\/(5\/10). What is the units digit of g + -2 + -1 + i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 7 = 9. Suppose -s*d + 11 + 5 = 0. Let r(t) = t**2 - 2*t - 3. Calculate r(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -41*h - 2. Is 5 a factor of a(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*d - 175*d + 103*d.\nAnswer: -255*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 20791655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1155 = 4*n, -3*s + 1157 + 16 = 2*n. List the prime factors of s.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116 + -127 - (11 + 5 + -8 - 2).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 14527 = 2*z - k, 0 = 5*z - k - 36310. List the prime factors of z.\nAnswer: 53, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2851278 and 119336.\nAnswer: 79835784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1673, -1672, -1671, -1670?\n\"Answer: s - 1674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 58 in 2\/19, -2\/17, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -6 - (590\/(-2) + (-20)\/4) is divided by 158.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 61*y - 42. Let c(k) = -123*k + 83. Let s(d) = 5*b(d) + 3*c(d). Is s(-20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/4, 0.34, -1\/16, -697, 5, 0?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1359, 5, 4, 1 in descending order.\nAnswer: 1359, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7 and -2387318.6646?\nAnswer: 2387311.6646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (72 - (-2 + 4)) + 3. Let v = 198 + y. Suppose -4*o - 3 = -v. What are the prime factors of o?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 2*h - 3*h)*(83*h - 4*h + 12*h)*(-h - 3*h**2 - 3*h**2 + 4*h**2).\nAnswer: 182*h**4 + 91*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 - 6*x + 6*x)*(-624*x**3 - 20*x**3 + 54*x**3).\nAnswer: 1180*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*20 - (-1 - (-2 + 4)). Let f(c) = -3*c + 13. Let s be f(25). Let v = d + s. What is the remainder when 61 is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*6*(2 + (0 + sqrt(832) + -4 + sqrt(832) - sqrt(832)) - ((sqrt(832) + 0)*6 - (sqrt(832) + 3 + -1*sqrt(832))))**2 + 1.\nAnswer: -624029 + 2400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -10. Calculate the remainder when 69 is divided by 2\/(-8) + (-146)\/b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 4*c. Let x be s(6). Calculate the highest common divisor of x and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0, 0.1925, -110, 0.2, 16?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*g**3 + 330*g**2 - 723*g - 234 = 0. Calculate g.\nAnswer: -2\/7, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) 1 (c) 8\/9 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7370\/(-1340) - (2 - (-22)\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - v. Let y(u) = -u**3 - u**2 + u + 3. Let w be y(v). Let j = w + 4. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -46*t + 36 + 15 + 805*t - 376*t wrt t?\nAnswer: 383","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 23 + 6 + 10)*(3 + 2 - 1 + (7 - 3 - 2)*(4 + 4 - 4) - 3 + 2 - 1).\nAnswer: -10*a - 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*d - 2*t, 0*d + 2*d = 3*t - 4. Which is smaller: d or 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, 0.4, -7\/24, 45, -9 in descending order.\nAnswer: 45, 4\/5, 0.4, -7\/24, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 226, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 19 - 256 = 0. Let x = q + 58. Suppose -73583 = 4*b + 3*h + 126402, 150025 = -x*b + 5*h. What is b rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1654, -6595, -14828, -26353?\n\"Answer: -1646*y**2 - 3*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 7797 = -3*g + 7805, 2*m + 16 = 5*g for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -13302 * 0.12\nAnswer: -1596.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a kilogram in grams?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 1. Let z(h) = -44*h - 5. Calculate 4*s(g) + z(g).\nAnswer: -40*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 292*i + 2838. Calculate k(-12).\nAnswer: -666","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 836, 6684, 22600, 53630, 104820, 181216, 287864, 429810?\n\"Answer: 841*w**3 - 12*w**2 - 3*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90.483796 + 36.\nAnswer: -54.483796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 54 and 14.139777?\nAnswer: 39.860223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(2*sqrt(7)))\/(sqrt(4) + -4*(sqrt(64) - sqrt(4))) + -4.\nAnswer: -4 - sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31998\/29 + 3310\/3. Which is smaller: -5\/6 or o?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 9*m**3 + 2*m**2 - 11. Let g(r) = -2*r**2 - 6 + 5*r**3 + 0*r**2 + 3*r**2. Let q(s) = 11*g(s) - 6*u(s). Find the third derivative of q(v) wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1010586038636830.96100071 - -1010586043902029. Let d = 5265198 - k. Let w = -0.039 - d. Round w to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 12506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 + -1 - (34 + 40 + -68)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, k: 1, b: 5, q: 2, c: 3}. Give prob of sequence qckc.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 8*g**2 + 4*g - 17. What is the least common multiple of 15 and r(8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 2*b**2 - 5*b - 3. Let l be g(4). Let i = -25 - l. Is (-124)\/(-6) + 10\/i a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2270\/22 - (80\/55)\/8. Let n = j - -28. What are the prime factors of n?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = v - 8*d - 14, 0 = -5*d - 15. Suppose 2*i + 0 = v, -4*f + 1320 = 5*i. What are the prime factors of f?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4106*y + 4104*y + 15*c + 77, 3*y = -4*c - 17 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 12*q**2 - 9*q - 13. Calculate the remainder when f(13) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**3\/6 - c. Let l(b) = b**2 + b. Suppose 2*k = -k + 6. Calculate k*l(a) - 3*q(a).\nAnswer: 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 1:47 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (0 - -43) - (-2284 + 2291)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.058340643 and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**5\/7 + 93140*j**4\/7 + 1084848064*j**3\/7 + 1548878272*j**2 + 4955473920*j + 34685337600\/7 = 0.\nAnswer: -23280, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 67451 (b) -3 (c) 0 (d) -0.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*i + 414 = 84*i. Calculate the least common multiple of i and 328.\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.9 and 0.21.\nAnswer: 0.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -303333313 - -3?\nAnswer: -303333310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 - 86940*c.\nAnswer: 5*c*(c - 17388)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**2 - 6848009*b + 6848008 = 0 for b.\nAnswer: 1, 6848008","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -214575 and 13.05.\nAnswer: -2800203.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/7)*a)\/a**(-1\/3))\/(a**(-2\/23)\/(a\/a**19)) assuming a is positive.\nAnswer: a**(-8077\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.4 + -5.38. What is the closest to 0 in -3, h, 3\/4, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + 2 + 12 - -1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.18864 and -1.2?\nAnswer: 0.226368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*63055.\nAnswer: -25222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**3 + 8*s. Let d(j) = -15*j**3 + 39*j. Suppose 30 - 62 = 16*y. Calculate y*d(t) + 11*r(t).\nAnswer: -3*t**3 + 10*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (21\/2)\/(2 - (-21)\/(-14)). What is the second derivative of -1 + 5*t**3 - 39*t**3 - 83*t**3 + s*t + 122*t wrt t?\nAnswer: -702*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 998257721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - n. Let x(k) = 3*k**2 - 6*k + 4. Let u(i) = i**3 + i**2 - i - 2. Let h be u(-1). Calculate h*x(r) + 6*d(r).\nAnswer: 3*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 3*r + 6, -v - 8005 = -2*r - 8007 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/66770 and 29\/230660.\nAnswer: 2537260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-25 + 62 - 26) + -3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - ((-156)\/(-4) + -4 + 2). Let s = 69 + t. Calculate the remainder when s is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16133 rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eessyeyssysxse. Give prob of picking 1 x, 1 e, and 2 s.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 73*m**2 + 72*m**2 - 2*m**3 - 145*m**2 - 3*m. What is v(-3)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 31*c**2 + 38*c + 199. What is v(-32)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10656, -10368, -10080, -9792, -9504?\n\"Answer: 288*m - 10944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n - 24. Let k be m(-8). Suppose -q + 1 = 0, -4*r + k*q - 19 = q. Sort r, 0, -9 in ascending order.\nAnswer: -9, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(180)\/(sqrt(6) + sqrt(30)\/sqrt(5)))\/sqrt(10))**2 - -5*(3 + (sqrt(192) + 0)**2).\nAnswer: -4*sqrt(3) + 3967\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 246286.8 rounded to the nearest 1000?\nAnswer: 246000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -362*b**3 + 2946*b - 1 wrt b?\nAnswer: -2172*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 20 = 3*u - 0*u, -2*b = -u - 12. Suppose 0 = -2*y - 3*c + 407, -c + b*c + 1070 = 5*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 5. Let x(s) = -15*s + 2. Let q be x(c). What is the greatest common divisor of q and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 3:12 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 2*g + 49, -2*f + 576*g - 102 = 572*g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 95? (a) 0.1 (b) -16.12 (c) -0.4 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**6\/120 - 11*m**5\/30 + 11*m**4\/12 - 11*m**3\/2 - 47*m**2 - 4. Calculate z(-23).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36784 and 220704?\nAnswer: 220704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 9:59 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1, 2, 4\/7, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 32 - 44. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-823911)\/(-22) + 15\/(-10) + 2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.002 + 3.298. Let o = -1.3 + v. Let j = 14 - 15. Which is the third biggest value? (a) o (b) j (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 + 128. Suppose 9*k = 5*k + 48. What is the highest common divisor of j and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39? (a) -3\/4 (b) -1\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 283 + 338. Let d be -36*(10\/(-12))\/(9\/k). What is d rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - (-5 - -7)) + (3 - -6).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -2\/9 (c) 4 (d) -4\/5 (e) 1\/209 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/45 - 1\/5. Let z = -1 + 1. Is h > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52924, 1, -4 in ascending order.\nAnswer: -4, 1, 52924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 74608*g**3 - 231*g**2 + 947*g wrt g?\nAnswer: 447648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14931919879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 6*t + 10. Determine w(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -3261095\nAnswer: -4\/3261095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/5)\/((-7)\/(-280)). Let d(m) = -m**3 + 11*m**2 - 11*m + 7. Let i be d(10). Let r be 48 - (3\/i - -1). What is the greatest common factor of g and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40365 + 56665. What is x rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -17, -14, 11, 70, 175, 338, 571?\nAnswer: 886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20470 + -20472. Let u be 4\/(-6) + 4\/6. Which is the nearest to u? (a) -2\/5 (b) f (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-230)\/(-8) + (-16)\/(-64). Let q = 32 - p. Suppose -5*j = c - 10, 4*j + q*c = -3 - 0. What is the remainder when j is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d - 17*d = -17*d. Let g(k) be the third derivative of 0*k**3 + d*k + 0 + 4*k**2 + 0*k**4 - 1\/60*k**5. Let n(w) = -w**2. Give -g(z) - 2*n(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1076436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 172020436 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*u**2 - 35*u**2 - 54*u - 36*u**2 + 54*u.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4\/8 + 27*v**3\/8 + 9*v**2 + 6*v.\nAnswer: 3*v*(v + 1)*(v + 4)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78 + 85. Suppose 5*l = -o + 14, -5*l + d = -l + 5*o. Let a be l\/2*8\/36*-6. Sort 15, a, 2, 0 in descending order.\nAnswer: 15, 2, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/7)*v**10 assuming v is positive.\nAnswer: v**(72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b - 354 = 17*b. Suppose 10 + 50 = 4*s. What is the remainder when b is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 260*d + 23. Is y(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.17176998 + -7.89381162. Let p = y + 0.0652416. Let k = 8 + p. What is k rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -87 + 89. Suppose 6 = 3*y, -w*y = 3*b + 2*b - 34. Let v be (b\/(-15))\/(-1) + 117\/45. Solve -v*f = -0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 1\/3*w**3 + 0*w - 3 + 3\/2*w**2. Find the second derivative of f(x) wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131976, 264020, 396130, 528312, 660572, 792916?\nAnswer: 925350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i = 15*i + 5*n - 6103, -2*i = 4*n - 6098. What is the hundreds digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**7\/70 + p**4\/8 - 3*p**2\/2 - 1. Let h(r) be the second derivative of m(r). What is the second derivative of h(x) wrt x?\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 + 41. Suppose -4*h = -2*w - 26, -g*h - 1 = w - 16. Factor -2*c**4 + 8*c**3 - c**h - 8*c**3 + 3*c**5.\nAnswer: 3*c**4*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**4 - 2*d**4 + d**2 + 0*d**2 + (4 - 4 + 3*d**2)*(6*d**2 + 5*d**2 - 5*d**2) to the form i*d**4 + s*d + w*d**3 + m + r*d**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 5*m**4 + 10*m**3 - 100*m**2 + 120*m = 0.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/3*(-24)\/8. Let x(m) = m**3 - 30*m**2 + 57*m - 12. Let b be x(28). Suppose -3175 = r*n - b*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -44181.\nAnswer: 4418.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1042440034 (base 5) to base 12.\nAnswer: -935a9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/40 - (-5 + 285\/25)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*h - 101 + 126 - 47 + (-h + h - 2*h)*(2 + 2 - 3).\nAnswer: -29*h - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -37, 1\/5, -1 in decreasing order.\nAnswer: 0.4, 1\/5, -1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27733745 and 1688141?\nAnswer: 194136215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-7)\/(f**1\/f))\/(f**(-3\/7)*f*f*f*f**5*f*f))\/((f\/f**(-2\/9))\/(f*(f*(f**2\/f*f)\/f)\/f)*(f**0)**27) assuming f is positive.\nAnswer: f**(-995\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15510, -30028, -44558, -59100, -73654, -88220?\nAnswer: -102798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 22*v - 26*v - 28, 2*v = -10. Sort 6, r, -24.\nAnswer: -24, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 8*w**2 - 185*w - 88. Let n be y(-18). Solve 2*p - u + 5 = 14, 0 = 5*p + n*u - 18 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 3, t - v + 2 = 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3846030151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*((-3 + sqrt(891)*4 + sqrt(891) + sqrt(891))*5 - (((-6*(0 + sqrt(891)) + sqrt(891) + sqrt(891))**2 - sqrt(891)) + -5)).\nAnswer: -1395*sqrt(11) + 71334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - z. Give n(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 17*m**2 + 13*m + 32*m**3 + 3978 - 3995 + 7*m. Let g(f) = -11*f**3 - 6*f**2 - 7*f + 6. Let n be 8\/6*9\/2. Let l(q) = n*o(q) + 17*g(q). What is l(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 - 359*k + 13046. Determine l(71).\nAnswer: -2361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-269)\/3)\/((-181)\/1629) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - k**2 - 2*k + 8. Let i be u(-6). Round i to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n - 3. Suppose -2*f + m = -9, -2*m + 4 + 13 = 3*f. Let u be j(f). Let o be u\/(-27) - (1 - 0). Which is the biggest value? (a) 2\/5 (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**6*x - 1205*g**3*x**3 + g**2*x**2 - g**2 - 305*x**3 + 10 wrt g?\nAnswer: -120*g**3*x - 7230*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*i = -808 - 192. Let f be (-2)\/(-3)*(-1 - -22). Suppose -m - 6 + f = 0. Calculate the remainder when i is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29 and 1752905.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 358, 1574, 3856, 7414, 12458, 19198, 27844, 38606?\nAnswer: 51694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -91 (base 16) to base 12\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5*t**3 + 35*t**2 - 78*t + 48. Let w(b) = -10*b**3 + 70*b**2 - 155*b + 95. Let l(x) = 5*a(x) - 3*w(x). Factor l(p).\nAnswer: 5*(p - 3)**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -492 - -494. Is (-39)\/21 + k - 205548\/(-49) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 20. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 494 and 7.7?\nAnswer: 3803.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441 is divided by 121?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -195b5 + -7?\nAnswer: -19600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5245170438.\nAnswer: 2, 3, 19, 2421593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 159 - 162. Let l be o - -92 - (1\/(-1) + 2). Calculate the greatest common divisor of l and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 941798*l*n + 342875*n wrt l?\nAnswer: 941798*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 5*h**2 - h**2)*(0*h - 4*h + h).\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3725 and 586315?\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1255 + -862. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*g - 5 = -l, 0 = 2*g + 5*l - 19. Suppose g*r - 11 = r. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -41 + 13. Suppose -12 = -y*r - 0*r. Let q = 92 + r. Is 19 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiwwiiiwi. Give prob of sequence iw.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36.6 - 37.1. Let y = -136 + 136.5. Suppose 5*i = -4 - 16. What is the third smallest value in y, -0.1, i, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003368786 rounded to five dps?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44114 is divided by 72?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 124*j**2 - 5. Determine t(2).\nAnswer: 491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*a*p**2*w**3 - a*p**2*w - a*p**2 - 16*a*p*w**2 + 2*a*p + 3*p**2 - 2*w**3 wrt w?\nAnswer: -42*a*p**2*w - 32*a*p - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 288 and -46.\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**3 + 113*v**2 + 64*v + 450. Give t(-56).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 1*-2 + 28 + (7 - 0)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106683 is divided by 401.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -136*v - 119*v - 340*v - 509*v - 1191*v in the form g*v + x and give g.\nAnswer: -2295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2754)*1 - sqrt(2754))\/sqrt(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**3 - 1152*b**2 + 1120*b + 11099. Calculate k(383).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30*c**2 - 103*c**2 + 11*c**2)*(-49 + 28 + 21 - 25*c) to the form u*c**2 + h*c**3 + b + y*c and give h.\nAnswer: 1550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 2*r. Let f be w(2). Let j be ((-6)\/2 - -4) + f. Solve 3 = -2*l + j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/481 and 23\/204?\nAnswer: 98124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 + -34. Solve -2*w + 8 = -d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19b (base 14) in base 3?\nAnswer: 110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 8:18 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((2\/36)\/((-68)\/(-408)))\/((-1)\/(-6)). Let a be (-16)\/(-10) - 4\/(-10). Let f(r) = 0*r + 12 - 9*r + a*r - 14*r**d - 5*r - r**3. What is f(-13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 14) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 739 is divided by 704.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-7)*d\/(d**(-5)\/d))**(3\/13))**(2\/69) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -16670 divided by -5\nAnswer: 3334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 807, 1730, 2657, 3588, 4523?\nAnswer: 5462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -7*m + 2*m + 42, 3*w + 2*m + 63 = 0. Let c = w + 5. Does 19 divide (c\/(-6))\/(2\/30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*o - 95, -54 - 7 = -a + 3*o. Suppose -4*z - a + 60 = 0. Determine b, given that -2*b + 2 + 3*b - z*b**2 + 2*b**3 + b**3 - 4*b**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12019998 a multiple of 957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-2))\/(9\/6). Suppose -5*h = 0, 0*h = -3*k + w*h - 450. Let q = k + 213. Is q a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in -0.2, -2\/15, 2\/7, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -520.9 - -497. Let f = t + 24. Is f < 129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 2\/1015 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 172*k - 158*k + 432*k - 4 in the form y*k + r and give y.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 20. Let s be f(-13). Suppose -47 = s*u + 16. Let m(o) = o + 6. What is m(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -175\/6 (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.64695 kilometers to centimeters.\nAnswer: 3864695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*b**3 + 113*b + 14*b + 110*b - 237*b.\nAnswer: -22*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1747.\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/25)*a)\/(a\/a**(-1)*a))\/((a*a\/((a*a*a**13*a)\/a)*a)\/((a*(a**6*a)\/a*a)\/a)) assuming a is positive.\nAnswer: a**(423\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*p - 166025 + 52065. What is the thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/7))**1\/((a**0*a)\/((a\/(a**(-1\/7)*a))\/a*a*a)) assuming a is positive.\nAnswer: a**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3*5.19179\nAnswer: 15.57537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from {q: 1, n: 2, v: 3, x: 1, u: 6}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55.4 - -43.1. Let f = 98 - q. Let z be (-7)\/5 + 2*1. Which is the nearest to 1? (a) 0.3 (b) f (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 9:17 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -9\/4, 1\/5, 0 in descending order.\nAnswer: 1\/5, 0, -2, -9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -676254, -676267, -676306, -676383, -676510?\n\"Answer: -2*x**3 - x**2 + 4*x - 676255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p. Let q(z) = 6*z**2 - 7*z + 6. Calculate s(q(g)).\nAnswer: -6*g**2 + 7*g - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 457*f = 243*f + 62214722. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*x - 5*x - 2*x)*(100*x + 40*x - 410*x - 385*x) as v*x**2 + f + k*x and give v.\nAnswer: 8515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1324 divided by -938.\nAnswer: -662\/469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r - 23*r + 20 = 0. What is the second derivative of -4*d**4 + 8*d**5 + r*d + 4*d**4 + 5*d wrt d?\nAnswer: 160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*m - 23, -23 = -4*j + 3*m - 0. Find the third derivative of 3 - 1 - 2*u**3 - 2 + 6*u**j wrt u.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 413*b - 424*b = -22. Solve 11 = -b*m + 3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d - 5. Let v(m) = -18*m**2. Give b(v(x)).\nAnswer: 18*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(209)\/sqrt(275))*-5.\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*n + 1075 = 515. Sort 2, -36, n in decreasing order.\nAnswer: 2, n, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -0 - 3, 2*o = 5*r - 7. Let x be -1 + 2 + (o - -1). Let p(z) = 1 + 4 - 2*z - 2*z**3 + z**2 - 4. Give p(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 11*z**2 + 2*z + 40. Let w be k(-11). Is 14 a factor of 1518\/(-8)*(-48)\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10522, 10436, 10156, 9574, 8582, 7072, 4936?\nAnswer: 2066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2669380 and 29363180?\nAnswer: 29363180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrbrrrrrrbrbr. Give prob of sequence bbr.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjdddpqpqgp. Give prob of sequence gd.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**0*p)\/(p**7*p*p*p)*p**(-2\/21)\/(p\/p**(-1\/4)))\/(((p*p*p**(-3)\/p*p)\/(p*p**(-2)))\/((p*p**6*p)\/p*p**(-1\/10)\/p)) assuming p is positive.\nAnswer: p**(-1027\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 9 - 6 = 0. Let s(w) = 6*w**2 - 3*w + 6 - 3*w**k - w**3 + 3*w**3 - 4*w. Let z = -4 + 9. Determine s(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2118*j = -46679 + 10673 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -757.8 - -757.7. Which is the nearest to 2? (a) x (b) -2\/7 (c) 23\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, 69 in descending order.\nAnswer: 69, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 4 = -3*r + 7, 9 = -r + 5*s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-9 + 11)) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177752256 + 2*z + 177752256.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 2. Let x be b(-2). Let n be x\/(-3)*(-9)\/(-6). What are the prime factors of (n - 0\/(-3))\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 55, 188, 457, 910, 1595, 2560?\nAnswer: 3853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5*o = 200, -136 = -2*p - 2*p + 4*o. Let i = -20 + p. Let j(l) = l**2 - 5*l. What is the remainder when i is divided by j(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjkjkjjjkkkkjjkkjkj. What is prob of picking 2 j and 1 k?\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22152 + -11022. Is p a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -352, -703, -1054?\n\"Answer: -351*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 12 + 2 = 0. Suppose 5*a - 4*l = 70, -a + 29 = 2*a - s*l. Calculate the smallest common multiple of 8*(-12)\/(-10) + (-160)\/(-400) and a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**1*v)\/v)**(-1\/5)*v*(v**(-7)\/v)\/v*v*v**6)\/(((v**(1\/5)*v)\/(v\/((((v**4*v)\/v)\/v)\/v)))\/(v\/((v*v**(-2\/3)\/v)\/v))**(-1\/30)) assuming v is positive.\nAnswer: v**(-157\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9424 and 309814?\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50070 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 2*c**2 + c + 3. Let p = 53 - 57. Let h(x) = -5*x**3 + 11*x**2 - 5*x - 15. Calculate p*h(w) - 22*g(w).\nAnswer: -2*w**3 - 2*w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.22 + 914.78. Let r = h - 937.00002165. What is r rounded to 6 decimal places?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*o + 3*w, 2*o + 2*w - 9 = 3*w. Let y = o + 8. Calculate the highest common divisor of y and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmpmmpm. Give prob of sequence ppmm.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1315 times 0.09?\nAnswer: 0.011835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**7\/1365 + r**6\/390 + r**5\/390 - 16*r**2. Determine b so that q(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/3, 0.1, 2\/13, 47.29, 3\/2, 1\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q + 3*q - 2*q**2 + (10 + 8*q - 10)*(3*q + 0*q - 4*q).\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**5\/5 + z**4\/5 + 3*z**3\/5 - z**2 + 2*z\/5 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-6 + -6 + 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25\/39 - 4\/13. Put -1, 2, x in increasing order.\nAnswer: -1, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1858419 by -11.\nAnswer: -1858419\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12172, -12190, -12212, -12232, -12244?\nAnswer: -12242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 884326518 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 2*r**5\/5 + 3*r**2 + 18. Let z(m) = -30*m. Determine g(z(l)).\nAnswer: 21600*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + ca?\nAnswer: cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -d0634 (base 14) to base 13\nAnswer: -146b40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-three fifths of a microgram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a micrometer in nanometers?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 137646 (base 8) in base 15?\nAnswer: e80c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18658 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 7*x - 47. Let y be u(8). Suppose 5 = 2*n - 12*b + y*b, 4*n + b = 3. Is 34 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 11. Let n be 2\/y*-3 + 20. Let x = -13 + n. Solve v - 6 = 5*c + 2, 5*c = x*v for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 2*m**2 - m + 1. Let w be q(-1). Calculate the greatest common factor of 2 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h - h + h**2 + (-h - 1 + 1)*(-2*h + 1 - 1) + (2*h**2 - 5*h**2 + 2*h**2)*(-1 + 2 - 3) - 138*h**2 - 280*h**2 - 197*h**2 - h**2 + 0*h**2 + 5*h**2.\nAnswer: -606*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 87 and 145?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 15.9. Let u = 0.0731 + 0.0269. Which is the closest to u? (a) h (b) 5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5*v + 4. Determine y(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 8. Let k be b(-5). Suppose -k*a + 6 = -3. Suppose -5*o + 60 - 14 = a*f, 2*f - 36 = 2*o. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - 1001111111110001?\nAnswer: -1001111111110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10846.7044 + -10851. Let v = 0.0656 + o. Let i = 0.23 + v. Which is the second biggest value? (a) i (b) 0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmvvmmhmhrhrh. Give prob of sequence rhm.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**5\/7 - 20*p**4\/7 + 48*p**3\/7 + 20*p**2\/7 - 50*p\/7 = 0. Calculate p.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548 is divided by 260.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 5 (b) 0.5 (c) 2 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2 = -j. Let c = 4 - j. Suppose -8*t - 2*t**c - 3*t**2 + 3*t**2 - 8 = 0. Calculate t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by (-9)\/(-15)*(9 - (-5 + 4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.97?\nAnswer: -3.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 51612402 (base 7) to base 4\nAnswer: 100203130203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10807 + 3293. Round i to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 102?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -67.589633 - 945\nAnswer: -1012.589633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115272 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -q**2\/2 + 5*q + 4. Let h be r(-4). Calculate the greatest common factor of 99 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1752684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, y: 3, c: 2, t: 1, h: 1}. Give prob of sequence ycty.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 13*s**2 - 33*s - 30. Determine g(3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*c**4 + 11*c**4 - 22*c - 8*c**4 wrt c?\nAnswer: -240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 + 92 - 88*q**2 + 88*q**2 + 39 in the form p*q**2 + c*q + u + y*q**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**4 + 23440*b**3 - 18804504*b**2 - 23440*b + 18804500 = 0.\nAnswer: -6575, -1, 1, 715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 85?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2676024.5 to the nearest 100000.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b + 14. Let l be m(6). Let s(o) = -4*o - 7. Let x(t) = -t**2 + 9*t + 14. Let c(f) = l*x(f) - 9*s(f). Find the first derivative of c(w) wrt w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1799 - -2279. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**8\/5376 - p**7\/2016 - p**6\/144 + p**5\/24 - 7*p**4\/4 + 34*p**2. Let x(n) be the second derivative of g(n). Factor x(i).\nAnswer: 5*(i - 2)*(i - 1)*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 14 - 42 = -3*p, -4*p = -2*x - 20. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 4*j**2 + 8. Let q be b(-3). Let c = q + 25. What is the greatest common divisor of c and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 7 + 3 - 1 + 0 + (-3 + 1 + 3)*(-4 + 2 + 0) + 3 + 1 - 6)*(-1 - f + 1).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*j, -j - 387 = -3*b + 6. Calculate the remainder when b is divided by 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5419, -5, 3, 1 in descending order.\nAnswer: 5419, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 864573.6 minutes?\nAnswer: 14409.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -71 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82641606 and 12450.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -2)*2 - (37 + -1). Let g = a - -70. Let k = 35 - g. Which is bigger: 25\/6 or k?\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**5\/40 + 3*f**4\/40 - f**3\/20 - f**2\/20 + 4*f. Factor x(p).\nAnswer: -(p - 1)**2*(5*p + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -9*l**3 + 44*l**2 + 35*l + 22. Let d(o) = 5*o**3 - 22*o**2 - 18*o - 11. Let i(v) = 7*d(v) + 4*j(v). What is the tens digit of i(22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -3) + 1 + -1. Let t be (m - (4 - 0))\/(-2). Solve 4*p = -3*r - 1, p = 3*r - t*p + 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(3\/4)*g*g**5*g*(g*g\/((g*g**(22\/5))\/g))**(12\/13) assuming g is positive.\nAnswer: g**(1439\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2361557111?\nAnswer: 61, 1279, 30269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1183664 (base 9) to base 5.\nAnswer: -131130314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*k - 1 - 5 - 6 + 2 to l*k + y and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2\/11 - 693754*i\/11 + 693756\/11 = 0. What is i?\nAnswer: -346878, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 4. Suppose q = 0, 4*n - b*q = -0*n + 12. Suppose 5*t - 14 = n*t. What is the remainder when t is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10959307?\nAnswer: 197, 55631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5145*h - 20576. Let b be s(4). Suppose 4*r - r = 12. Solve -2*z = -b*o - r, 3*o = -0 + 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6885 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 782600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**4 + 5*t**4 - 7*t**4 - 1)*(3 - 2 - 3).\nAnswer: 4*t**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -676748, -676815, -676884, -676955, -677028, -677103?\n\"Answer: -g**2 - 64*g - 676683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 16. Suppose -4*p - q + 5 = 17, -q = 0. Sort h, p, 1 in ascending order.\nAnswer: h, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**5 + 1936*f**4 + 45676*f**3 + 344336*f**2 + 678546*f - 1070496 = 0.\nAnswer: -944, -9, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 23 - 62*j + 117*j - 44*j in the form l*j + m and give m.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**5\/5 - 3837904*k**4\/5 - 767581*k**3 = 0.\nAnswer: -1, 0, 3837905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 9. Let p = 0.1 - 0.3. What is the third biggest value in 2, p, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18606 + 18614 + 1876*w - 37222.\nAnswer: 1876*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**18)**(-39)*(c*c**(2\/43))**(-32))**(8\/11) assuming c is positive.\nAnswer: c**(-253008\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -195 + 170. Let m = 5 + -16. Let t = m - j. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -408283643 and 32087.\nAnswer: -408251556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -0*y + 296. Suppose 7*w - y = 5*w - 2*m, 0 = -3*w + 2*m + 222. Suppose 5*d - 259 = -w. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2555085*g**2 + 371021*g**2 - 47500*g**2.\nAnswer: 2878606*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 1:39 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -5*r + 23, r + 0 - 5 = -z. Let x be (-2)\/3 - z\/(-3). Find the third derivative of 6*j**5 - 52*j**2 + 43*j**2 + x*j**5 wrt j.\nAnswer: 360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -41*l**3 + 9*l**2 + 48*l + 17. List the prime factors of r(-6).\nAnswer: 59, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuubbbu. What is prob of sequence bb?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {o: 10, t: 10}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1023 (base 7) in base 9?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.298 to zero decimal places.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1656 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1984.5 - 1984. Put -4, 4, k, 8\/11 in ascending order.\nAnswer: -4, k, 8\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9751611?\nAnswer: 3, 701, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4.44952 meters?\nAnswer: 444.952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*l - 36 = -65*l. Find the common denominator of (-4)\/(-2) - -30*1\/(-16) and 3\/57*(-1 + l)\/5.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 3*y + 1, o + 2*y - 5 = 3*y. Let z = -71.8 - -72. Let l = 8 + -6. What is the nearest to -1\/3 in o, z, l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (7\/3)\/((-1)\/(-3)) and (4 - (-9 - -4)) + -4.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 352 (base 6) to base 13\nAnswer: aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + (0 - (-7 + 12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172453*o + 15 - 2367993*o - 15.\nAnswer: -2195540*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 183485570 and 40100?\nAnswer: 4010","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378.81*41.\nAnswer: 15531.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(468)*5.\nAnswer: -60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 10:48 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 76*m - 1167. Let k be s(21). Sort -2\/7, -1, -18, k in descending order.\nAnswer: -2\/7, -1, k, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o = 1920. What is o rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31711\/66760*(-12)\/(-38)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1469380853.\nAnswer: 1469380853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 2474249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 67*y**3\/6 + 3*y. Let r be l(1). Let n = 98 - r. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*o - 215*o - 98*o - 4025 = 0 for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -529*i**2. Let b(n) = 175*n**2 + 5*n - 2. What is b(x(j))?\nAnswer: 48972175*j**4 - 2645*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q - 2*q + 0*q)*(-2*q + 2*q + q) in the form i + b*q + t*q**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 1. Suppose 337 + 67 = d*x. Suppose 4*i - x = 51. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 - 8*h - 64.\nAnswer: 2*(h - 8)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 24?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j - 673 = 177. What is the tens digit of j\/(-3) - 3\/(-10 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2388, -3\/7, 2, -6 in increasing order.\nAnswer: -2388, -6, -3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5473488 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 5:54 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-115)\/425 - -5*(-42)\/(-600)*(-66)\/(-77)?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cj when two letters picked without replacement from cjcjccjc.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/24 of a day?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 - 9 = -28*l. Suppose l*b - 2*p = 30, 7*p = 5*b + 5*p - 35. Let a(u) = u**3 - 1. Let f be a(1). Solve -n + 2 - b = f for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22\/4 - 8\/(-16). Suppose z*y = y. Differentiate y + 3*r - r + 6 with respect to r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -8, 3, 4, -4 in ascending order.\nAnswer: -8, -6, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 42\/(-4) + (-12)\/(-24). Let n = 25 + j. What is the greatest common factor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 157066, 157061, 157056, 157051, 157046?\n\"Answer: -5*i + 157071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*w + 74. Let n = 20 + w. Find the third derivative of n + 5*i**2 - 1 - 3 + 6*i**6 wrt i.\nAnswer: 720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -11*o + 30. What is the remainder when 14 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9129\/537 + (0 - 14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 4*z, 0 = -4*i + 3*z + 4. What is the third derivative of 4*c**5 + 0*c**2 - i*c**5 - c**2 + c**6 wrt c?\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2835)*1)\/(-4*(sqrt(5) + sqrt(20))).\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1053 is divided by 176.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -4\/7, -4, -2\/2725, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 84 - (-2 - (-8 + 2)). Let q(m) = -56*m**2 - 3*m - 1. Let h be q(-1). Let g = b + h. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 622*p + 52642. Determine c(-101).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v - 29. Let l be g(-11). Let n be (-4)\/(-10) - ((-192)\/l)\/(-2). Which is smaller: -16\/3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 12 = 4. Find z, given that -4*z**r - 2*z**3 + 5*z**3 + 19*z - 19*z = 0.\nAnswer: 0, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -693, -699, -705, -711, -717, -723?\n\"Answer: -6*q - 687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 101471 (b) 111 (c) -1\/3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(117) - (sqrt(117)*2)**2*-2).\nAnswer: 3*sqrt(13) + 936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*v**3 - 110*v**2 - 61*v + 741*v**4 - 42*v - 17*v - 736*v**4.\nAnswer: 5*v*(v - 4)*(v + 1)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -17 + 1 + -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**4 + 4*z**3 + 2440*z**2 - 9568*z = 0. What is z?\nAnswer: -26, 0, 4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwfffwffffffffffff. Give prob of picking 2 f and 2 w.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/60 and -53\/8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52926 divided by 3.\nAnswer: 17642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220012 (base 3) to base 11.\nAnswer: -544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -8*m**3 - 7*m**2 + 79*m - 101. Let v(l) = l**3 - l**2 + l + 1. Suppose 25 = 5*t + 2*g, -4*t - g + 2*g = -20. Let u(d) = t*v(d) + f(d). Factor u(h).\nAnswer: -3*(h - 2)**2*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9437\/16 - 590. What is the second smallest value in t, -2\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 198230 and 4610?\nAnswer: 198230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(-5 - 1 + 4)*(-13 + 10 - 87)*(-2 + 2 + 2*x - 1 - 2*x + 1 + 6*x - 3*x - 2*x - 2*x + 4 - 4 + (2 - 2 - 2)*(2*x + 0*x + 0*x) - 2*x + 3*x - 3*x).\nAnswer: 1260*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 4 = -l + w, 4*l - 3*w + 35 = 0. Let q(c) = c**3 + 10*c**2 + 4*c + 7. Let t be q(l). Suppose 0 = -j + t + 1. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 9*k + 45. Let j be i(-2). Solve -m = -5*t - j, 7*t + m = 3*t - 9 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13209652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 13*y**2 + 4*y + 3. Let g be b(-4). Suppose 414*l + 4060 = 22698 + 12412. What is the highest common divisor of l and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3562*x - 12175 wrt x?\nAnswer: 3562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 11505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 16. Let c = o + 8. What is the smallest common multiple of c and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**2 - 5*x + 4. Calculate g(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -1, -111680 in descending order.\nAnswer: -1, -2, -5, -111680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sixteenths of a day?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17230230.\nAnswer: 2, 3, 5, 191447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/11144 and -87\/407552?\nAnswer: 2852864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/4? (a) 513 (b) 16 (c) -2\/5 (d) -1\/3 (e) 1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 12. Let b be m(10). Suppose -3*f + 414000 = 4*s, -4*f + b*f - s = -276000. Round f to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l**3 - 2*l**3 + 8*l**3 - 13*l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.227 * -379.\nAnswer: 86.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -k - 2*t, t - 74 = -5*k - 2*t. Let m be (-2)\/(-4) + 1\/(-2). What is the remainder when 0 + 27 + -2 + m is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 5:27 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32*((-4)\/286)\/(800\/(-2200))?\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 1327 = -5*z, 0 = 9*x - 14*x - 5*z + 1715. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43989+-5.09328\nAnswer: -43994.09328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, y: 2, s: 4}. Give prob of picking 4 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11926 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -293.5 * 7\nAnswer: -2054.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00570981 rounded to five dps?\nAnswer: 0.00571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/4 - 25*w\/2 - 51\/4.\nAnswer: (w - 51)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*w - 1 = 0, 0 = -0*n + 2*n + w - 8. Let o be n + 0 + -11*(-476)\/120. Let y = o - 159\/5. Calculate the common denominator of y and -139\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**7*n*n)*n\/(n\/(n\/n**(1\/2)))*n**0\/n**(-6))**(-1\/16) assuming n is positive.\nAnswer: n**(3\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 0*j**3 - 4*j**2 + 67\/12*j**4 + 1\/20*j**5 - 7*j - 1. Differentiate o(k) with respect to k.\nAnswer: 3*k**2 + 134*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -9*t**4 - 2*t**2 + 6*t. Let f be (-19)\/17 + 2\/17. Let i(q) = -q**4 + q**2. Let v(b) = f*s(b) - 2*i(b). What is the second derivative of v(m) wrt m?\nAnswer: 132*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 8*z + 20*z - 3.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 434200 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 153 + -103. What is the smallest common multiple of 55 and f?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t - 3. Let z be q(-4). Let j = -6 + z. What is the nearest to -2 in j, -0.2, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*f + 2 + 35*f + 10*f)*(0 + 0 + f**3).\nAnswer: 73*f**4 + 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkmimimimiihyihihw. Give prob of sequence yhm.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 4*d + 12, 0*x = -2*x + 3*d + 31. Let i(t) = 2*t - 4*t + 2*t + 3*t + x. Let w be i(-2). Solve -w = -4*o + 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-6*(sqrt(72) + sqrt(72) + (sqrt(72) - (sqrt(72) - sqrt(72)*-2)) + sqrt(72) - sqrt(72))\/((sqrt(60)\/sqrt(2))\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13203137.\nAnswer: 197, 67021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (3 - 3 - 0) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 - 52 = -3*g + 4*n, -3*g = 16*n - 112 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68035 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3 - 9 = 0. Suppose 0 = 2*b - f*b - 4. Is 2\/9 less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -8*n**3 + 20*n + 1. Let g(f) = 5*f**3 + 219*f**2 - 39*f + 209. Let z be g(-44). Let c(r) = 15*r**3 - 39*r - 2. Give z*h(w) - 6*c(w).\nAnswer: -2*w**3 + 14*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (74120\/(-310))\/17.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 7. Sort -9, 5, a in descending order.\nAnswer: 5, a, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + -4 - (97 + -100)) + -18.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2292904 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -24*q - 144. Let k be u(-6). Solve k = a - 38 + 39 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*z - 4662 - 3042 = -2597 + 1277 for z.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-4) - (-74)\/8. Find the second derivative of -15*s**4 + h*s - 13*s**2 + 4*s**4 + 13*s**2 wrt s.\nAnswer: -132*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 330072383\nAnswer: 330072382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -352016 divided by 695.\nAnswer: -352016\/695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 divided by -4272?\nAnswer: -11\/712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 1261*o + 180. Let p be z(0). Solve p = 50*f - 5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03535978 to 5 dps.\nAnswer: -0.03536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, u: 4, x: 3, b: 3}. What is prob of sequence xbb?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - (-95 + 5) - (-5 - (-4 - -2))) + -1?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 62*d - 290. What is v(9)?\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 21857604 divided by 4\nAnswer: 5464401","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve 302*x + 1575 = 699 - 1238 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*n - 22, -164 = 4*n - 176. Solve -4*y = -5*d + q, 2*d + 23 = 5*d + 4*y for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 <= -660\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqqlq. Give prob of picking 1 x and 2 q.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1631722722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*c - 3*v - 1069 = 0, -2*c + 107*v - 29 = 106*v for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.22 - 1.22. Let g = 0 + -0.4. Which is the nearest to 2\/3? (a) p (b) 0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 227.9 + -228. What is the nearest to d in -5, 21, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 1574. Let b(j) = 2*j + 1794. Calculate m(b(g)).\nAnswer: -2*g - 220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1481806\/53 or -27958?\nAnswer: -1481806\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 3:52 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 16\/160267?\nAnswer: 16\/160267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6*u - 3. Let n(x) = 2*x + 1. Give 6*n(a) - s(a).\nAnswer: 6*a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -92 + 95. Let t(a) = -2 - 4*a + 9*a + 0. Let p(w) = -4*w + 2. What is n*t(m) + 4*p(m)?\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 462440 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 1:53 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3019254?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1434.5 + -0.3\nAnswer: -1434.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -97, -3\/5, 3\/2, 0.5 in descending order.\nAnswer: 3\/2, 0.5, -3\/5, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (198 - 218) + -8 + 13?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -282\/13 - -1397\/65. Let r = -30 + 27. Put r, y, -5 in increasing order.\nAnswer: -5, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 217993?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 110\/385 + (1\/7 - 0)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - ((-7)\/7 + 1 + 2). What is the remainder when ((-177)\/5)\/(2*f\/(-10)) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -0*v + 20. Suppose -4*w + l = -42, -2*w + w + v = 3*l. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1333 take away -38?\nAnswer: 37.8667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -283695 + 430768. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + 84. Calculate the least common multiple of 108 and b(36).\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -31*v - 149. Let w(r) = 171*r + 747. Determine 11*g(y) + 2*w(y).\nAnswer: y - 145","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 200*i**3 - 6*i**2 - 6*i - 78. Let u(w) = 201*w**3 - 5*w**2 - 5*w - 78. Let a(z) = -5*c(z) + 6*u(z). Find the first derivative of a(x) wrt x.\nAnswer: 618*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 22, 54, 88, 124, 162?\n\"Answer: t**2 + 29*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 1373 + 1433 = -2*h, -5*h + j = 114. Let m be 1 + (2 + -1)*1. Which is the closest to m? (a) 2\/11 (b) 0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**21\/(z**(2\/39)*z)*z**(-13\/4)*z\/(z\/((z\/(z**(6\/7)*z))\/z)) assuming z is positive.\nAnswer: z**(16207\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1891 - 11*d + 1891 in the form g + l*d and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 18, -45?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -4*a + 3*a + 25, -39 = -6*m + 9*m - 3*a for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7652048.607 rounded to the nearest one thousand?\nAnswer: -7652000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 1753597.\nAnswer: -350719.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -51*w**2 + 5*w - 17. Let f(h) = -49*h**2 + 6*h - 19. What is 6*f(l) - 7*y(l)?\nAnswer: 63*l**2 + l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4579*i - 586. List the prime factors of g(-14).\nAnswer: 2, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/19? (a) 3 (b) 8 (c) -5 (d) 25.8 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 119.9 - 119.9. Put 222, -2, i, -0.5 in increasing order.\nAnswer: -2, -0.5, i, 222","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - (36 - 82)) + (-5 - 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**28*f\/f**(-1\/23)*(f**(1\/32))**(6\/11))**(2\/81) assuming f is positive.\nAnswer: f**(117637\/163944)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 0*m**3 + 22*m**2 + 0*m + 1\/60*m**5 + 0 + 0*m**4. Let d(a) = -49*a. What is d(f(b))?\nAnswer: -49*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2525, 2530, 2571, 2666, 2833, 3090, 3455?\n\"Answer: 3*j**3 - 16*j + 2538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 6438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/343752 and 101\/10.\nAnswer: 1718760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 5*g + 14. Give i(-10).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -80343852879.799999697 + 80343852804. Let f = d + 75.8. What is f rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 374*r - 94. Let a be b(8). Suppose -a = -10*f + f. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*z - 11 = 11, -4*b = -4*z - 16. Let p(a) = -43*a - 1 + 20*a + 9*a. What is the units digit of p(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 11*w + 32. Suppose 4*l - l = -3*p + 243, 4*p - 333 = -l. Let k = p + -78. Let s be f(k). Solve 4 = y + o + o, 0 = -2*y + o - s for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 41.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -11*v**4 + 343*v**3 + 1610*v**2 - 4924*v + 840 = 0.\nAnswer: -6, 2\/11, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 0*k**3 + 0 + 0*k**5 + 0*k**2 - 20*k - 11\/12*k**4 - 2\/5*k**6. Find the third derivative of q(m) wrt m.\nAnswer: -288*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**5 - 4*h**2 + 1228*h**4 - 1226*h**4 - 4*h + 2 + 2*h + 4*h**3 = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 952620 divided by 317540.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -150846 and -1179.\nAnswer: -152025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 379, 1509, 2601, 3637, 4599, 5469?\nAnswer: 6229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 0*d**4 + 2*d**3 + 3\/20*d**5 - 10*d**2 + 0 + 0*d. What is the first derivative of a(w) wrt w?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1780152 divided by -7356\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 126 - 93. Let b(z) = 29*z**2 - j*z**2 - 26 + 26. Let a(s) = 14*s. Determine b(a(f)).\nAnswer: -784*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -201021 (base 6) to base 8\nAnswer: -36645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*b + b**2 - 2*b)*(3*b**2 - 2*b**2 - 3*b**2) + 10*b + 3*b**4 - 10*b)*(4 + b - 4).\nAnswer: b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3*k**3*n**2 + 21*b**3*k**3*n + b*k*n - 668898*k**3*n**2 + k**3*n - 2*k**3 + 1058*k**2 wrt n.\nAnswer: -2*b**3*k**3 - 1337796*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s + 51. What is y(10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - ((17 - -23) + -26).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2) + -1) + 3 - (-4*(sqrt(2)*-2)**2 - -1*sqrt(32)).\nAnswer: -8*sqrt(2) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 14*r**3 + 3*r**2. Let p(m) = 27*m**3 + 7*m**2. What is 7*k(f) - 3*p(f)?\nAnswer: 17*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*h*x + 158*c*h - 220*c*i*x + c*i + c*x + h*i with respect to x.\nAnswer: -c*h - 220*c*i + c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 7*h**2 - 3*h. Let v(l) = 3*l**2 - l. Let s(u) = -5*v(u) + 2*z(u). Let w be s(-4). What are the prime factors of (w\/(-5))\/((-4)\/(-240))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 15*a**2 + 5*a + 18. Calculate the remainder when 966 is divided by c(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -129.2\nAnswer: 516.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-17 - -5) + -3 + 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8589 + -566779\/66. Calculate the common denominator of 59\/9 and w.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 + 2*p**2 + 2*p**2)*(2*p**2 + 2 - 7*p + p + 5*p).\nAnswer: 14*p**4 - 7*p**3 + 14*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 1. What is the tens digit of 0\/5 - (3 - s)*25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 342398 and 147371.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 - 33 = 3*i. Let n(x) = -x - 38. Let d be n(i). Let g(t) = -t - 11. Determine g(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 315 - 603345?\nAnswer: -603030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, m: 4, h: 5, e: 3}. What is prob of sequence mex?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118178.\nAnswer: 2, 37, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.045713 - 10.\nAnswer: -10.045713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -30*q**2 - 3*q + 2. Let k be w(2). Let o = 11 + k. Let x = -161 - o. What is x rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 418 - 409. Solve 5*i - 3*a - 10 = j, -5*i - 4*a = -33 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -196.24485216767 - -8?\nAnswer: -188.24485216767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 19 + 9 = -2*o, 0 = -3*w + o + 34. Let b = -151205 - -151207. Solve -b*a = 8*a + w for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001467418647 to five decimal places.\nAnswer: 0.00147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1064*f = -258*f - 19830 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3116 is divided by 3106?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121 - 1?\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1480184 is divided by 237.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23840*h - 23842*h = 5*n - 4, 2*h - 5*n + 4*n = 28 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*u - 677 = 23*u - 3357. What is the remainder when 707 is divided by u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*t + 8*t + 4*t)*(-5*t + 0*t + 6*t) - 91*t**2 + 4 + 89*t**2 + 3 as a*t**2 + d*t + i and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 511 = -598. Calculate the remainder when d is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-18) + (16540\/90 - 7). What is v rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 42087?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 12*r - 10. Suppose -10 + 3 = -t. What are the prime factors of a(t)?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, r: 2, x: 12, c: 4}. What is prob of picking 2 p, 1 x, and 1 r?\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -339 - -356. Let s(o) be the second derivative of 4*o**3\/3 + 3*o**2\/2 - 2*o. Calculate the remainder when s(10) is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112 + -558\/5. Factor 6\/5*a - q + 2\/5*a**2 - 6\/5*a**3.\nAnswer: -2*(a - 1)*(a + 1)*(3*a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2 + 3 - 3 + 1 - s**3. Suppose -m - 2*k = 2*k - 3, 12 = 4*m + 2*k. Suppose m = -2*w + 9. Give t(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.755 + 43?\nAnswer: 43.755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.73731 months in years?\nAnswer: 1.3114425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/4 - 2300\/(-16). Suppose -5*k = -4*d + 132, -4*d + 2*k = -0*k - g. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 370650078?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 777562697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.031 + 0.131. Which is the closest to -2\/3? (a) -0.1 (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09 and 0.995.\nAnswer: 0.08955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-444)\/(-518) + 67\/(-70)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2359*w**2 - 2350*w**2 - 2354*w**2 - 91*w**3 + 7063*w**2.\nAnswer: -91*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 714505 to the nearest integer?\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 81\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04356? (a) 4\/3 (b) -17 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 4 - -1 - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 4*r - 9*r. Let l(n) = 2*n**2 - 29*n - 39. Let d be l(r). Solve -2*j - d = -11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 32*c + 21*c**3 - c**3 - 4*c**3 - 17*c**3 + 170*c to the form a*c**3 + k*c**2 + f + r*c and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.1 + 5.3. Which is the biggest value? (a) -0.32 (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6404 - 0.0596. Which is the third smallest value? (a) s (b) 0.01 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w + 442 = 3*d - 26*w, 2*d = -6*w + 338. Solve 0 = -56*p + 34*p + d for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300 divided by 26431\nAnswer: 300\/26431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**21*d**(-10\/3) assuming d is positive.\nAnswer: d**(-70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15738 (base 9) to base 12.\nAnswer: 6308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 748 and 318824.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 17*x**3 - 3*x**2 + 6. Calculate i(-2).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 6*l**2 - 17. Let h be j(5). Let r be (14\/(-21))\/(2 + h\/18). Solve 10*z + 40 = r*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - -1) + -20 - (5 + (-73 - (4 - -1))).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -4. Suppose 1 = -h - 0. Put 5, h, j in descending order.\nAnswer: 5, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2)\/((-5)\/(-80)*4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-4))\/(26\/52). Let d be (-3 + 5)\/(a + -2). What is the nearest to 3 in -0.06, 0, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -217*u**4 - 108*u**3 + 2*u**2 + 608429*u.\nAnswer: -2604*u**2 - 648*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 565768 and 0.0338.\nAnswer: 565768.0338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 20, 104, 250, 464, 752, 1120?\n\"Answer: x**3 + 25*x**2 + 2*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3170 - 3096. Which is the third smallest value? (a) 2\/5 (b) v (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(891) + 1 - sqrt(891))*2)**2 + (3 + 3 + (sqrt(11) - sqrt(33)\/sqrt(3)*1))**2 + -3)*-2.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*t + 16013 = 27403 for t.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1808 a factor of 26379171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 106*v + 2202. Calculate q(24).\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 10:20 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 2002*z - 2006*z + 1 + 4007*z. Let t(b) = 7*b**2 - 5*b + 7. Let l be (-2)\/(-8) + (-130)\/8. Let u = l - -10. Calculate u*q(h) + t(h).\nAnswer: h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001604 rounded to 6 decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62475, 124953, 187429, 249903, 312375, 374845?\nAnswer: 437313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8615, 8615, 8613, 8609, 8603, 8595, 8585?\n\"Answer: -o**2 + 3*o + 8613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*o - 5*y, -y = 4*y + 20. Let a be (-64)\/(-2)*(-6)\/o. Calculate the greatest common divisor of 6 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386.96551 - -58336?\nAnswer: 58722.96551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1315944455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1812 is divided by 457?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 4*k**2 + 3*k + 1. Let o be l(-2). Let h(v) = v + 5. Let x be h(0). Let u be -1 + 6 + x + -8. Does o = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus -250024680014?\nAnswer: -250024680013.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3101 - 3101 - 191*v)*(2*v**3 - 6*v**3 + 0*v**3).\nAnswer: 764*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-4831954.\nAnswer: -24159770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 4 + 8 - 15 - 500*c**2 + 4.\nAnswer: -500*c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312*u = 192*u + 360 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*6\/96 - (2 - (-33)\/12). What is the fourth smallest value in 3, -2\/9, p, -0.24, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3122 + 43683\/14. What is the common denominator of -101\/206 and q?\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1758464019 to the power of 1\/3, to the nearest integer?\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j - 2*j + 0 + 2. Let q be m(-7). Put -2, q, 4 in increasing order.\nAnswer: q, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 334\/9, 1\/7, -0.3 in ascending order.\nAnswer: -0.3, 1\/7, 334\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -151 + 284. Is 19 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 1. Let x(s) = -s + 11. Let u(q) = -q**3 + 3*q + 4. Let d be u(-3). Give d*c(y) - 2*x(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.237 (c) 0.4 (d) -1\/8 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-171)\/(-15) + 8\/(-20). Suppose 0 = 2*c - 5*c + 36. Suppose -14*g = -d*g + c. Sort -2, 2, g in descending order.\nAnswer: 2, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -29*t - 25 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**9\/z)*z)\/z**(-12))**(4\/11) assuming z is positive.\nAnswer: z**(24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.7679 and -4.\nAnswer: -23.0716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 4*h - 9 - 5, 2*h + 18 = 4*w. Solve -w*q + 9 = q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*i + 11, -3*i + 0*i + 2*p + 8 = 0. Calculate the lowest common multiple of 1 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 - (70 - 44 - -42)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -449, -924, -1431, -1970?\nAnswer: -2541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b - 5*b = 153*b - 2414 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10448?\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(91)*2 + sqrt(91)*-1*6)\/((sqrt(63)*-1 + sqrt(7))*-6).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -712, -895, -1078, -1261, -1444?\nAnswer: -1627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4583458915?\nAnswer: 5, 7, 130955969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 20 + 11 - 445*v**2 + 247*v**2.\nAnswer: -198*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5*1\/(4 + -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b - 3. Let c(d) = -451*d - 458*d + 2 + 902*d. Give -3*c(t) - 2*j(t).\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -73388, -73338, -73288?\n\"Answer: 50*z - 73438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 12*r**2 + 4*r - 40. Let b be w(12). Calculate the highest common factor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -12*a**3 + 242*a**2 - 40*a - 37. Calculate t(20).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 737 = 3*w, 6*q = 5*q + 4*w + 356. Calculate the remainder when q is divided by -2 - -1 - (-576)\/9.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 + (13 - 39 - -65)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -88 (base 14) to base 6.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9, g: 7}. What is prob of picking 1 g and 2 l?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 77, -1893, -0.1?\nAnswer: -1893","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 4:41 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 3:51 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/25)\/p**(-19))\/(p**(4\/7)*(p*p\/(p\/(p*p**(-16))))\/p) assuming p is positive.\nAnswer: p**(5864\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 175\/21)*24 + ((-28720)\/2050 - -6).\nAnswer: -2\/205","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3*l**2 - 75 = 0.\nAnswer: -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 3:14 PM?\nAnswer: 143","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*y - 12. Suppose 3*r = y*w - 157, 5*w - 9*r + 5*r - 197 = 0. List the prime factors of w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8931, -17751, -26571, -35391, -44211?\nAnswer: -53031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 111101101011011 (base 2) in base 12?\nAnswer: 16337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 30379?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -45, -55, -65?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5697805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*b - 9. Suppose 5*z = -b*t + 4*t + 35, 5*t - 20 = 0. Find the third derivative of -z*a**2 + 1 - 1 + a**4 - 2*a**4 wrt a.\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 17 = -2*n + 15, 0 = a - 4*n + 42. Let o = a + 38. Let h = -5 + o. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2953583273 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/12 (b) 2\/7 (c) -5 (d) 3\/2 (e) 0.12 (f) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 519830071.\nAnswer: 7789, 66739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 + 215. Suppose 2*o - 4*o = -g. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12693, 50843, 114417, 203415, 317837?\nAnswer: 457683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-1 - (-12)\/10). What is the tens digit of (s\/(-3) + 1)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.17 + -4.83. Let u = -0.28 + -0.16. Let w = u - -0.94. Which is the nearest to -1? (a) w (b) 0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56946 (base 10) in base 8?\nAnswer: -157162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8336375 and 510.\nAnswer: 50018250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 195\/(-130) + 6\/8\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - -9 - -2 - -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.295 - -4.295. What is the biggest value in -4, w, 0.094?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 32*j**2 + 61*j - 24. Calculate the remainder when 213 is divided by r(30).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, z: 2, n: 1, e: 2, b: 1}. Give prob of sequence nezb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 99620 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -93*v - 1. Suppose -3 = -5*t + 2*d, -2*t - 5*d - 22 = -0*t. Let i be q(t). Does 8 divide (-2)\/(-3) + i\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = b. Suppose 5*n + 394 = 4*v, -b*v + n + 280 = 5*n. Suppose -7*t = -3*t - v. What is the greatest common divisor of 60 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 51237462 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -8*o**3 - o**2 - 3*o - 17. Is n(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s**(4\/11)*s)\/s))\/s*s**(-10)*s*s assuming s is positive.\nAnswer: s**(-92\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2687, 2673, 2659, 2645, 2631?\n\"Answer: -14*m + 2701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m + 11*m + 99 = 0. Suppose m + 17 = 4*r. Find the second derivative of -7*l - r*l**4 + l**4 - 35*l wrt l.\nAnswer: -72*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -11 + 5 - 5 + c + 2*c. Let r be q(5). Suppose 0 = 2*z + 5*x - r, -5*z = 3*x - 2*x - 56. What is the lowest common multiple of 2 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 4*r**2 + 5*r. Let f be v(-5). Let q(z) be the second derivative of 1\/90*z**5 + 0*z**3 + f + 0*z**2 - 1\/54*z**4 + z. Solve q(m) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 1 = -4*n, -4*n - 5*z - 5 = -n. Solve 0 = -n*y + 2*y + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 96*t**4 + 7*t**2 - 2*t.\nAnswer: 2304*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23425740 to the power of 1\/3, to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 143\/(-33) + 2\/(-3). List the prime factors of (r\/(-1) + 2)*3.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 603614*i**5 + 6*i**4*r**2 + 146432*i**2 + 145*i*r**2 wrt i?\nAnswer: 36216840*i**2 + 144*i*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233159*j - 3*j**3 + 233156*j - 699475*j + 233160*j.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z - z**3 + 2*z**2 + 2*z)*(-3*z - 4*z - 3*z) + (3 - 2*z - 3)*(-1 + z**3 + 1) to t*z**4 + l*z**2 + m*z**3 + v*z + q and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 506 a factor of 2693438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60900884*f - 134260405.\nAnswer: -60900884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 12:19 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09535024268 + 672.\nAnswer: 672.09535024268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 6:28 PM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -7*p**2 + p - 2. Let q be (1 - -2)\/3 + 2. Let z = 2 - q. Let r be ((-8)\/6)\/((-4)\/18). Let o(h) = -h**2. Calculate r*o(f) + z*d(f).\nAnswer: f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5))**(-2\/77)\/(n**25\/n**14) assuming n is positive.\nAnswer: n**(-837\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9643 - 9643 - 4386*i)*(-1 + 1 + 2).\nAnswer: -8772*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/2 and 81\/544.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.097 (b) 1\/9 (c) -4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19144593 by -39.\nAnswer: 490887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5\/2 (b) 1\/2 (c) -0.018 (d) 361 (e) 5 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 93.28042mg?\nAnswer: 93280420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*f - 32 = -30*f - q, -4*f + 36 = 3*q. Solve 0 = 3*j + f - 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36350 - 17006. What is the thousands digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32074 and 1624?\nAnswer: 128296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -0.0755, -5, -1\/20?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2550 (base 8) in base 16?\nAnswer: -568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*n + 2*n + 3*n + (-3 + 4 + 1)*(-4672*n + 6565*n - 4274*n) as x + y*n and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h - 7. Suppose -2*o + 4*u + 39 = o, 4*o + 2*u = 30. Let c be i(o). Solve -g - c*g + 8 = 2*d, -d = 2*g - 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1532701 - -1532702. Let o be 56 + 2 + (-2)\/2. Which is the third smallest value? (a) 2 (b) i (c) o (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1.1 (b) 77\/4 (c) 4 (d) 2\/3 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320342.\nAnswer: 2, 11, 14561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*o + 7984 - 7984 + 132*o + 97*o.\nAnswer: 33*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 87758036 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*k, 0 = -4*k + 2*k - 5*l - 9. Solve -3*w = -4*w - 4, -37 = -5*d + k*w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5367 >= 5367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.139847 from 1368088.944.\nAnswer: 1368088.804153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -508 from 306182.\nAnswer: 306690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 117 = 3*v. Solve -3*g + 0*w - 2*w - 7 = 0, -3*g + 2*w + v = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 4 = -5*r. Let c(x) be the third derivative of -x**5\/60 + x**4\/12 + x**3\/6 - 14*x**2. Calculate c(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (4 + (-2 - 6) - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -59550 divided by -2382?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - 4*y**2 + 3*y**2)*(0 + 2*y**2 + 0) - 4*y**4 + y**3 - y**3 - y**3.\nAnswer: -8*y**4 - y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 5*h - i, 5*i = -3*h - 2*h - 55. What is the remainder when (2\/3)\/(h\/(-885)) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -9. Let a = -10 + u. What is the third biggest value in -3\/2, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53412 divided by -65?\nAnswer: 53412\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -72057541161?\nAnswer: -72057541166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Solve 11418*n + 1684*n + 109591 = -217959 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -9544*r - 114486. Calculate the lowest common multiple of 1012\/14 + (-4)\/14 and i(-12).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1226 - 1266. What is the third smallest value in 4, -5, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131783, -263608, -395445, -527300, -659179, -791088, -923033?\nAnswer: -1055020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-2\/19)*k*k\/(k\/k**5*k)*(((k**(1\/4)*k)\/k)\/k)**50)**(15\/4))**(-11) assuming k is positive.\nAnswer: k**(196845\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87427042 is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**5 + 39300*t**4 + 128903316*t**3 + 1279103466*t**2 - 19648764135*t + 43950787650 = 0.\nAnswer: -6545, -19, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 5*k**3\/3 + 2*k - 1426. Calculate a(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.068 in 5, -2\/13, 0.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/253 and -6\/3151.\nAnswer: 34661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6*163175\nAnswer: 979050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4707 + 6313. Calculate the greatest common divisor of z and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -485\/444989 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4\/7 - 32*s**3 + 4416*s**2\/7 - 5120*s + 102400\/7.\nAnswer: 4*(s - 20)**2*(s - 8)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, k: 2, d: 4, c: 2, s: 1, b: 2}. What is prob of sequence uub?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 14. What is n(0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/(-8) + (-2)\/4. Suppose m = -j*m + 87. Let g = m - 14. 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: Add 338.52 and 15707785.\nAnswer: 15708123.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 376720 or 376723?\nAnswer: 376723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3731\/255 - -319\/17. Suppose 13 - 5 = -3*i + 4*n, -5*i = 3*n - 6. Which is smaller: y or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 248.\nAnswer: 248.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42197139 divided by 1971.\nAnswer: 21409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3369264 divided by 34\nAnswer: -99096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 437955523 to the power of 1\/2, to the nearest integer?\nAnswer: 20927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 30039455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*g + 52*g + 120. Calculate the remainder when g is divided by 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -270 - 5?\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3*w + 14 = -31, 5*f + 2*w = 40. Let m = -5 - -3. Let j = f + m. Sort j, 2, 3 in descending order.\nAnswer: j, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -187 - -174.3. Let s = i + 13.76. Let x = -0.76 + s. What is the smallest value in 2\/13, -0.1, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -104 - -104. Let a be 3\/(-2)*-14 + c. Solve 1 = -4*m + a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 + 58. Let d(w) = w**3 - 10*w**2 + 13*w - 12. Let u be d(9). Calculate the greatest common factor of u and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b0 - -4639?\nAnswer: 46e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 859.2493l?\nAnswer: 859249.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppwppppwppdpp. Give prob of picking 1 d and 1 p.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -4. Suppose 0 = 4*h - r + 1, 3*h - l + 2 = r. Solve h = c + 3 + 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2227 is divided by 35?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (924\/24)\/(-11)*(-204)\/119. Sort 4, 2, a, 7, -4 in decreasing order.\nAnswer: 7, a, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u. Let p(f) = 3*f**2 + 0*f**2 - 5*f**2. Determine p(c(k)).\nAnswer: -50*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence blbb when four letters picked without replacement from {w: 3, l: 3, b: 5}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 1424 = 1454 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 122*f - 56*f - 80*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d**2 - 31610320*d + 42147120 = 0.\nAnswer: -2107356, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.15 and -0.317.\nAnswer: -0.04755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**2 + 0*h**3 + 8*h**2 + 2*h**3 - 1 + h**4 - 5*h**2 as l*h**4 + f*h**3 + c*h**2 + w*h + n and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 739, 2987, 6773, 12097, 18959, 27359?\nAnswer: 37297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1201571 + 1768593. Let v = -567017.800235 + z. Let l = v + -4.2. Round l to five decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + ((1*sqrt(3)*3)**2 - (sqrt(3) - (sqrt(300) + -2)**2)).\nAnswer: -41*sqrt(3) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 5*r - 1, -4*x - 297 = -325 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5996443.1605916 + 3\nAnswer: 5996446.1605916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -189379, -189331, -189283, -189235, -189187?\nAnswer: -189139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2))**(-6\/35)\/(q\/(q\/(q*q*q*q**4))*q)**(-3\/13) assuming q is positive.\nAnswer: q**(606\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*(-2)\/50*25. Suppose -4*z + u*t - 10 = 0, -4*t + 2 = -5*z - 3*t. Suppose z*g = 3*g + 3. Which is greater: g or 1\/43?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 0*i**2 - 3*i**2 + 4*i**2. Let x(k) = -11*k**2. Determine q(x(a)).\nAnswer: 121*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17262431 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4988)\/(-8) - (6\/(-4))\/3 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416 is divided by 100.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 1 = -4*l, -5*n = -9*n + l + 41 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.541 + -25331010479.\nAnswer: -25331010476.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**7\/168 - f**6\/15 + 71*f**5\/20 - 691*f**4\/24 + 581*f**3\/24 + 1127*f**2\/4 + 4294*f. Determine v so that t(v) = 0.\nAnswer: -23, -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a4d7 + 101?\nAnswer: 2a5d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 558564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-8)\/48*-3*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1114722 and 645246?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25222 (base 6) to base 11.\nAnswer: 2907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 85777 to the power of 1\/2, to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 + 2 + 13*o - 2 + 21*o - 1 - 29*o. Let x = -3 + 5. Let f = x + -6. What is d(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c + 34. Calculate x(-14).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 0.30568.\nAnswer: -0.40568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -103?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 d when two letters picked without replacement from {t: 3, d: 2, f: 1, a: 3, s: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 270.79*-1.5\nAnswer: -406.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + a979?\nAnswer: a981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b**2 - 31*b - 6. Suppose -27 = -c - 2*c. Calculate the smallest common multiple of c and r(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20681\/20 - 1034. Let z(p) be the second derivative of -6*p + 0 - s*p**5 + 1\/6*p**3 + 3\/2*p**2 - 5\/12*p**4. Calculate z(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/3)\/((q*q**2)\/q*q)*q**(-1)\/(q*q**(2\/5)*q))\/(q**(-6)\/q*q*q*q*q**(-3))**8 assuming q is positive.\nAnswer: q**(754\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -90 + 94. Suppose -f = 27*j - 4. Solve -2*q + 4*q = j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**7\/42 - l**6\/8 + l**5\/4 - 5*l**4\/24 + 9*l**2. Factor y(v).\nAnswer: 5*v*(v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6304327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p - 2. Suppose -4*y + 3 - 7 = 0. Let g(n) be the third derivative of -n**2 + 0 + 1\/6*n**3 + 0*n. Determine y*k(r) - 4*g(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.3 + 14.1. Let r = z + -9. Let d = -149 + 1045\/7. Which is the nearest to -1\/5? (a) r (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 - 9*h**2 + 7*h**2 - 2*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*i + 94 = -50*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2998 - 804. Suppose -2270 - k = -6*h. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + n = 40, 0 = n - 1. Let g = -103 - -110. Calculate the remainder when t is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -12 - 130. Let c(s) = 2*s - 80. Let k be c(0). Let l = k - -98. What is the remainder when i is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 2 - 5)*(3*v - 2*v + 0*v) + v + 5 - 5 - 315 - 19*v + 315)*(4*v - v - 2*v).\nAnswer: -17*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 + 32*n + 30. Let l(f) = 5*f**2 + 61*f + 61. Give -7*h(m) + 3*l(m).\nAnswer: m**2 - 41*m - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2362035*z + 12237494 wrt z.\nAnswer: 2362035","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 - 16. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + s + 2 - 7, -4*q + 15 = 3*s. Which is the second biggest value? (a) q (b) -4 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5864 at least as big as -5865?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2936500739?\nAnswer: 1973, 1488343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 - 3*h**2 - h. What is the least common multiple of t(-2) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -0*g + 4*g + 30, -4*g + 18*y - 60 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1131303221 + 102?\nAnswer: 1131303323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/(-10) - 2)\/((-8)\/(-80)*-4). Which is smaller: -1\/5242 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0903002077 to 5 dps.\nAnswer: -0.0903","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.774954ms in hours?\nAnswer: 0.000000215265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-18)\/((p**(-30)\/p)\/p*p) assuming p is positive.\nAnswer: p**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1572)\/10 - 0) + 3. Let z = 155 + h. Let s = 4 - 7. Put s, 1, z in increasing order.\nAnswer: s, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -412610 (base 7) to base 4\nAnswer: -101033120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4254 divided by 3\nAnswer: 1418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 5:54 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (((-272)\/40)\/(-17))\/(88\/20)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 19*f - 17. Let y be w(-18). Let h be (-1)\/2*16*y. Let g = h - -52. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**4\/2 + 3*x**2\/2 - 9. Let o(c) be the second derivative of q(c). Let r(k) = k**2. Determine o(r(y)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2 + ((sqrt(36)\/sqrt(4))\/sqrt(3) - (-1 + sqrt(75))**2))*2.\nAnswer: -154 + 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66480?\nAnswer: 2, 3, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1922152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -611*a + 2. Let c = 32 - 35. Is q(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -3. Which is the closest to 0? (a) 1 (b) -6 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-92)\/(-7889)*14*(-14)\/(-4).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.44571 * 15551.\nAnswer: -6931.23621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-12)\/288*-28.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 7:29 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*l + 156 = 38*l - 702. Suppose 0 = 5*v - 44 - 6. Suppose -v*n = -12*n + l. Calculate the highest common divisor of 24 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-32528)\/1070*(-5)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**3 - 3*n**2 + 25*n + 947. Let z(u) = -5*u**3 + 2*u**2 - 17*u - 948. Let y(x) = 2*o(x) + 3*z(x). What is the first derivative of y(v) wrt v?\nAnswer: -21*v**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 6*u + 9. Let s(q) = q**2 + 27*q - 36. Suppose -4*c + 156 = -5*o, 5*c + 13 = -2*o - 23. Let m be s(o). What is j(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z\/(z\/(z\/(z*z\/(z*z*z**(-2\/9)))))*z*z*z*z\/z**(-2\/5)*(z**(-4\/3))**(-6) assuming z is positive.\nAnswer: z**(683\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 515774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 226 - 198. Suppose -19*w = -3*w - 1792. Calculate the highest common divisor of w and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11000 (base 2) to base 8\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 13*u - 2. Let i(y) = 12*y - 2. Let z(a) = 6*i(a) - 5*r(a). Let o be z(14). Suppose o = -4*v + 5*v. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 9*y - 6781 - 19940, 0 = -5*y - 5. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 15 + 2*p)*(-3 + 108 + 132 + (-2 - 2 + 6)*(2 - 3 + 0)).\nAnswer: 470*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.737 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 13*g - 7. Let b be t(14). Let n be (-2)\/((-3)\/3) - b. Let u be 2 + (-5 - (n - -2)). Solve 3*s = -u*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*c**2 + 6*c**2 - 11 - 26*c**2 - 3*c + 7*c**2 + 7*c**2 in the form b*c + y + p*c**2 and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 10 = -2*q. Suppose -2*j - 1539 = -3*h, 3*j + q*h = 6*j + 2309. Let c = j - -1115. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-5)*(-3000)\/100.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -52, -68, -94, -130?\n\"Answer: -5*m**2 - m - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 0 - (16 + -12 + -10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6559471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 12436617.\nAnswer: 3730985.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/411989 + 37491269\/55618515. What is the common denominator of -38\/105 and d?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**4\/12 + 11*k**3\/3 - 7*k**2. Let w be 1\/(-2) - (-19)\/(-2). Does 2 divide h(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/7 (b) 2 (c) 115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 54.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 + (-1 - -1))\/(((-730)\/105950)\/(-73))?\nAnswer: 5, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -263 - -483. Suppose a = -5*x + 2115. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3 + 5 = 0. Let x = n - -3. Find the third derivative of -l**2 - l**x - l**2 + 3*l**5 wrt l.\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 0. Let f = x + 28. Solve 0 = 5*s - 25, -o + 25 = 2*o + f*s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 10:54 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + 37. Let l be 136\/6 + (-8)\/12. Let o = m - l. What is the greatest common factor of o and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*h - 2*h - 2*h)*(-3*h + 0*h + 2*h)*(h + 373 + 13*h - 426) in the form n + c*h + g*h**3 + d*h**2 and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*c**2 - 14*c**2 + 11*c**2)*(-2*c**2 + c**2 + 0*c**2) + 0*c**4 + 0*c**4 - c**4 - 6*c**4 - 8*c**4 + 6*c**4)*(2 + 3 - 6).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/18 - 2\/(-6). Suppose -2*x + 2*j + 16 = 0, -3*x + f*j + 5*j = -30. Solve x*l - 4 = 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 182 + -176. Suppose 58*n - 52*n + l = 0. Which is bigger: 34 or n?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 3)*(5 - 5 + 6)*(-2*j + j - 4*j**4 + 2*j**4) in the form s*j + l*j**4 + f*j**2 + b*j**3 + o and give l.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 7 - 5 = 0, 4*a = -2*t - 4. Let z be -5*(-11)\/(110\/t) + 0. Solve -z*o + 7*o + 27 = 3*n, -4*n - 3*o = -7 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24\/83 - -146\/1079. Which is the closest to -0.1? (a) -3 (b) 0.01 (c) -1\/4 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**4\/10 - 88*n**3\/15 - 141*n**2\/5 + 541. What is p in f(p) = 0?\nAnswer: -3, 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-293)\/5 + 5685 + -5626. Suppose d*r**4 - 264\/5*r + 144\/5 + 148\/5*r**2 - 6*r**3 = 0. What is r?\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1872) - (3*(sqrt(1872) + 1 + sqrt(1872) - sqrt(1872) - sqrt(1872)) - sqrt(1872) - sqrt(1872))))**2 - -4*(-1*sqrt(1872) + 5)**2.\nAnswer: -840*sqrt(13) + 24461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 104000 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2.9*-35\nAnswer: 101.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -0.3 (c) -67 (d) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/6*(-36)\/8. Suppose 5*n - 22 = -2*k - 4, -y = -n + 2*k. Suppose -3*c + n*o + 50 = -31, 3*c - 2*o = 75. Solve -2*a - b - 1 = 6, 3*b = 5*a + c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2096192031.\nAnswer: 3, 698730677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*j**3 - 9762*j**2 + 108432*j - 30184.\nAnswer: 2*(j - 686)*(j - 11)*(7*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2284?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 39*x + 110. Let o be a(-3). Let n(t) be the first derivative of 0*t - o - 13\/2*t**2. Let g(f) = f. Determine n(g(c)).\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/3587, -1, -1\/4, -3, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, c: 7, i: 2, y: 2}. What is prob of picking 2 i?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g - 136. Let v be w(28). Suppose 2*n = 5*u + 33006, n - 4*u + 49463 = v*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 1:06 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 79*w + 60. Let c be t(8). Let x = c - 604. Suppose 0 = -p + 3*p - 4*q - 36, 0 = -2*p + q + 42. What is the greatest common factor of p and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -87, -1, 39.14?\nAnswer: 39.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q + 4. Let f be m(-3). Let v = 1387 + -1385. Which is the nearest to -0.2? (a) 1 (b) v (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + -23. Let c = -25 - g. Suppose -v + 345 = c*v. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wz when two letters picked without replacement from wwzwwzwwzwwwwwwzzz.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + 16. Is y a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6599 - 384*x**2 - 569*x**2 + 6599 as s*x + t + j*x**2 and give j.\nAnswer: -953","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-90))\/((-88)\/440))\/((8\/30)\/4)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(168)\/sqrt(3)*5 - sqrt(224)*1))\/((sqrt(80) + sqrt(80) + (2*sqrt(80) - sqrt(80))*-6)\/(sqrt(110)\/(2*sqrt(11)))))**2.\nAnswer: 63\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11825, 26908, 41991, 57074, 72157, 87240?\n\"Answer: 15083*v - 3258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 82207\/47940 - -3\/1598. What is the common denominator of 139\/18 and r?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 3, -5, -4847.\nAnswer: -4847, -16, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 138 - 60. Let o = t + -236\/3. Which is the closest to 2? (a) -0.3 (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkaorrn. Give prob of picking 1 r and 1 o.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -291\/2 - -145. Which is the second smallest value? (a) 40 (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**4 + 7*j**4 + 32*j**4 - 4*j + 4*j - j**2 + 6*j**4 + (-3*j + 2*j**3 + 3*j)*(0*j - 3*j + j) in the form f*j**4 + w*j + o*j**2 + r + k*j**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 13*c - 10.\nAnswer: (c - 5)*(3*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -186477877, -186477878, -186477879, -186477880, -186477881?\nAnswer: -186477882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 54?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 + -25. What is the greatest common factor of 180 and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 363488 and 67932.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -10.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93922.\nAnswer: 2, 151, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-1)*-1 - 230\/4. Let n = g - -57. What is the second smallest value in n, 5, 3\/7, 2\/11?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1601\/744 - -68\/31. Let p(g) be the second derivative of -s*g**3 - 1\/8*g**4 + 1\/24*g**6 - 1\/40*g**5 + 15*g + 1\/8*g**2 + 0 + 1\/56*g**7. Factor p(h).\nAnswer: (h - 1)*(h + 1)**3*(3*h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -284?\nAnswer: 3\/284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 277 - 266. Suppose 499 - 4 = 5*y. Calculate the greatest common divisor of y and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**3 + 12*f**2 - 6*f + 1. Let h be s(-6). Find the third derivative of h*w**5 - 38 - 34*w**2 + 21 + 17 wrt w.\nAnswer: 2220*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/59407 and -93\/172?\nAnswer: 10218004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -41, 1.13, 5, 0.\nAnswer: -41, -1, 0, 1.13, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*f = 14, o = 4*f - 4 - 12. Suppose -3*x + 196 = 6*p - o*p, 0 = 2*p - 4*x - 182. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3193?\nAnswer: 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*v - 0*v - g, -g + 14 = 5*v. Suppose 0 = -4*b - 5*i + 9, -6 = -2*b + v*b + 4*i. Solve -4*r + 2 = -b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 912257 is divided by 152035?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 2. Let d(c) = 14*c**2 - 5*c + 9. Give 2*d(t) + 10*g(t).\nAnswer: 28*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -225, -231, -241, -255?\n\"Answer: -2*r**2 - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433835257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6957? (a) -5 (b) 3.7 (c) -1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h + 1. Let w be r(5). Let t(f) be the first derivative of -4 + 5*f + 2*f**4 + w*f - 17 - 3*f**4 - 4*f**3. Suppose t(c) = 0. Calculate c.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*p**4 - 19*p**5 + 5*p**6 - 7*p - 11*p**6 + 8*p + 25*p**4 - 61*p**2 wrt p?\nAnswer: -720*p**3 - 1140*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-10)\/n*n)**(-15))**(1\/8))**(-1\/22) assuming n is positive.\nAnswer: n**(-135\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 511 by -3.\nAnswer: -511\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 66, -4, 0.4, 92, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (110\/25 + (-6)\/(-10))\/(-4)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 66 = -178. Suppose -47 - k = -5*j. What is the greatest common divisor of 60 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72\/36 + (-3 - -27*31) a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 5*z**2 + z - 5. Let r be j(4). Suppose -5*g + 0*b + 11 = -3*b, 3*g - r = -b. Suppose 5*y = -g*y - 27. Does y = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - g**2 - g + 3. Let o be q(0). Suppose 0 = -o*k + 4 + 2. Let t be (-1 - -1)\/((-1)\/1). Put k, -4, t in descending order.\nAnswer: k, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107195 is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 8*c + 11. Let n be i(7). Suppose -377*s**n + 3*s + 36*s**2 - 391*s**4 - 3*s**3 + 3*s**3 = 0. What is s?\nAnswer: -1\/8, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3815672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21659 is divided by 249?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - (sqrt(72) + -4)**2) + 2)*3 + -3*(sqrt(72) + 4 + -3 + sqrt(72))**2.\nAnswer: -1125 + 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 4*w + 3*n, -2*w = -7*w + n - 23 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = -5*x + 4*w, x - w = 2*w - 36. Let l be (-7539)\/x + 2\/(-9). Suppose 0 = -3*k - 0*k + l. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**7\/21 + 2*d**3\/3 + 14*d - 13. Let o(z) be the first derivative of x(z). What is the second derivative of o(t) wrt t?\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 3. Let t be a(3). Let n be (-18)\/(-36) + t\/4. Solve 5*r + 5 - 1 = n*k, 4*r = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 60?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 2*b = -4, -5*d + 5*b = -d - 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 3*u = -2*c + 14, 0 = -4*c + u + 28. What is the derivative of c*r**3 + 4*r**3 - 4 + 7 wrt r?\nAnswer: 33*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 9*b**2. Let t(u) = -1221*u**2. What is t(a(q))?\nAnswer: -98901*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11217 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 42\/2 - (-17)\/289*-119. Solve -q*a + 95 = 5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -19 + (-32272)\/(-1040) + -18.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.74 and -2919?\nAnswer: -16755.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2.292616 hours?\nAnswer: 8253417.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 304.5645 - 304.8. Round u to two decimal places.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75845 and 19855.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 - -24. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5089868 and 2?\nAnswer: 5089868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114464.\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 135 + 72. Suppose -28*w - 28*w + 16224 = 22*w. Is q greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 43615.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108667 is divided by 384.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/716 and -149\/6780.\nAnswer: 1213620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d + 36 = 25*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8915.\nAnswer: 5, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/7 - ((-87633)\/3675 + 25)*10\/16.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 6. Suppose 34 = 4*s + 10. Calculate the remainder when ((-2)\/a)\/(s\/(-498)) is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43310144 - -1104?\nAnswer: -43304040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/292 and 71\/352.\nAnswer: 25696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -86*(-1 - (-8)\/16). Suppose 3755 = -w*c + 20783. What is the highest common divisor of c and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + -7)\/(-1)*(-274)\/(-2). Let h = s - 5999\/4. Is h < 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*g + 18*g - 51*g + 16*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - -2)\/(3\/(-1527)). Let k = n - 234. Suppose -3*t + 2*i + 142 = -t, -i = -4*t + k. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*s + 16 = -40, 3*s + 9 = 0. What is the common denominator of l*(9\/440)\/(-3) and -49\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6926947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -57324 at most as big as -57327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -y**5\/20 + y**4\/12 + y**3\/6 - 18*y. Let h(d) = 7*d**3 - 5*d**2 - 4*d. Determine h(c) + 4*v(c).\nAnswer: 3*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 9*k - 11. Let l(y) = y + 4. Let b be l(6). Let g be i(b). What is the third smallest value in -0.3, g, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1722 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -114, -45, -16, 5 in descending order.\nAnswer: 5, -6, -16, -45, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1088 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, -3\/4, 0.32, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 316, 315, 314, 313, 312, 311?\nAnswer: 310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 a factor of 3431200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**4 + 6232*u**3 - 9696983*u**2 - 38868988*u - 29165772 = 0. Calculate u.\nAnswer: -3, -1, 3118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 8*x**3 + 8*x**2 - 28*x + 23. Let q be b(8). Suppose 0*r + 4*r - 8815 = -3*w, 0 = 2*r + w - q. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 602268?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 59*t - 812. Give l(-11).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-2*4)\/((-2*sqrt(81))\/sqrt(9)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -106\/121 + -9557\/1936. Calculate the common denominator of (-5 + (-54)\/7)\/(-2) and v.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.05 (b) -9 (c) -7 (d) 0.5 (e) 3\/8 (f) -1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157323*d - 314676*d + 157337*d.\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3e9d544 - -3?\nAnswer: -3e9d541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((((sqrt(76)*-2 + sqrt(76))*-1 - (-5*1*sqrt(76) + sqrt(76) - sqrt(76)))*2)\/(-6*(sqrt(4) - -3*1*sqrt(4))*-6))**2.\nAnswer: -19\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1599821950 to the power of 1\/2, to the nearest integer?\nAnswer: 39998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4769 (base 10) in base 16?\nAnswer: 12a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 7:56 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 15*h**3 - 15*h**2 + 7. Let t(u) be the first derivative of -2*u**4 + 8*u**3\/3 - 4*u + 151. Calculate 6*n(l) + 11*t(l).\nAnswer: 2*l**3 - 2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13961 and 51595?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-5))\/(1320\/6580) - (-6 + 1 + 9).\nAnswer: -2\/165","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46314185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -37\/453?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 0.15, 3, 2\/29?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4590*u + 6. Let h(p) = 3055*p + 4. Let y(t) = -7*h(t) + 5*z(t). Let x(f) = -2*f. What is x(y(l))?\nAnswer: -3130*l - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4070754 divided by -278?\nAnswer: -14643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99419333 - 99419333 - 13*n.\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 6:07 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 411 or 2880\/7?\nAnswer: 411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1212 - -2074?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(378)*2)\/sqrt(9))\/(4*sqrt(6)*-1).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 50*n**2 + 10*n - 8. Let x be o(1). Suppose -3*k = -2*z + 198 - x, -5*k = 5*z - 315. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 713545.7 years?\nAnswer: 8562548.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c**(-3))*c)\/c*c)**50\/(c**(-4\/13)*c*c\/(c*c**(7\/5))) assuming c is positive.\nAnswer: c**(16296\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6 + (-35)\/(-6))*-6*1357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1147 (b) 0.06 (c) 1106\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -183 + 43. Let y = o - -140. Solve 3*t = -y*t + 2*l + 1, -4*l = -t - 13 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1689220*j**4 + 679262*j**2 wrt j.\nAnswer: 40541280*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyv when three letters picked without replacement from vyvyvvvvvvvyvv?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/((f\/(f**(1\/15)\/f))\/f)*f))\/f*f**13*(f**0)**(3\/5) assuming f is positive.\nAnswer: f**(194\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -5935 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 + 38 - (3 - 15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 569595004 to the power of 1\/2, to the nearest integer?\nAnswer: 23866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.2 (b) -3 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 170474 to the nearest 1000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19887054, 19887052, 19887050, 19887048, 19887046?\nAnswer: 19887044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.347 take away -14850980854?\nAnswer: 14850980856.347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (2 - 7) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -1835 + 916 + 11*v**2 - 53*v**3 - 11*v + 930. Let n(y) = 18*y**3 - 4*y**2 + 4*y - 4. Calculate -4*f(k) - 11*n(k).\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(320) - sqrt(320)*2)**2 + ((-1*(sqrt(5) + 0))**2 - sqrt(5)).\nAnswer: -sqrt(5) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4401456079 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 3 - (4 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 3*k**6\/10 + 19*k**3\/6 - 7*k. Find the second derivative of b(w) wrt w.\nAnswer: 108*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1679*q**2 + 23774*q - 23774*q.\nAnswer: -1679*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 57.9034197 milliseconds?\nAnswer: 0.00000009573978125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -167 + 716?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + f - 9 = -k, -k = f - 5. Suppose 5*n = 2*n - g + 17, 3*g = k*n - 1. Suppose 0 = -2*l - 2*l + 112. What is the greatest common factor of n and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.163608*-2\nAnswer: 0.327216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + (sqrt(152) - 2*sqrt(152))*-4 - -6*-1*sqrt(152))\/(sqrt(8)*2*3 + (sqrt(8) - sqrt(56)\/(-2*sqrt(7)))))**2.\nAnswer: 76\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -1. Suppose 3*p - i = 28. Find the third derivative of -16*o + p*o + o**2 - 2*o**5 wrt o.\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2923\/1887)\/79)\/(4\/(-24))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1317051 and 162.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.52641l to millilitres.\nAnswer: 71526.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f + 1. Let t(z) = z**2 + 10*z + 13. Let o be t(-9). Let a(k) = -4 + 5 + 4 - o - 4*k. Give 3*a(x) - 5*g(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, u: 7}. Give prob of sequence ouo.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.34 - -3.94. Let y = w - 5. Let d = y - -6.4. Put -2, d, -4 in decreasing order.\nAnswer: d, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -17 + 20 - 46\/(-2). Let q(l) = -4*l + y + 4*l**2 + l - 6*l**2 - 23. Let d(t) = -t**2 - 5*t - 3. Let r be d(-5). Give q(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88313583 to the nearest integer?\nAnswer: 9398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2139*b**2 - 1125*b**2 - 1015*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 5. Let r be d(-7). Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-1 - 0)*10. Let f be (-4)\/r - (-17)\/5. Suppose -f*i + 41 = -19. Calculate the least common multiple of i and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-2))\/((-2)\/(-92)). Let d be (2\/7)\/(h\/805). Solve -5*m + 5 = d for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 871 is divided by 73?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 21989.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013781101 to four decimal places.\nAnswer: 0.0138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**6\/t)\/t)\/t*t)**3 assuming t is positive.\nAnswer: t**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*b - 6*b - 50. Suppose 0 = -4*m + b*m - 66. Solve 3 = -2*j + m for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -7. Let l = y + 2. Differentiate 5*k**l - 3*k**2 + 0*k**2 + 2 - 4 with respect to k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-9) + (-154)\/36. Let j = d - -67\/14. Which is the closest to j? (a) 3\/4 (b) 12 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -862925, -862996, -863179, -863528, -864097?\nAnswer: -864940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -797*z**5\/5 - 35*z**3\/3 + 3*z + 794. Find the third derivative of x(u) wrt u.\nAnswer: -19128*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mrrr when four letters picked without replacement from bbmmrrbrmbrrb.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 5*o**2 + 2*o + 3. Let w be y(-4). Suppose b - w + 3 = 0. What is the remainder when (-3)\/(-12) - 55\/(-4) is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 396*l + 29455425 - 26*l - 29455425.\nAnswer: 370*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -127551082, -255102164, -382653246, -510204328?\n\"Answer: -127551082*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3760.2 - -4010. What is n rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, -1, 187, 4 in ascending order.\nAnswer: -9, -4, -1, 4, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3786*j = 1468*j + 169214 for j.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (34\/17)\/(((-3)\/4)\/3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-1 + 3)*(-8 - -12). Let k(c) be the second derivative of -c**3\/6 - 5*c**2\/2 + 75*c. Determine k(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 300 divide 132871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 divided by -13.\nAnswer: -55\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 3*v + 0*v**5 + 0 - 4*v**2 + 4\/15*v**6 + 0*v**3 + 0*v**4. Find the first derivative of f(a) wrt a.\nAnswer: 32*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 3*g**2 - 3*g - 3. Let j be o(-3). Is ((-2)\/7)\/(j\/(-11802)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 h when four letters picked without replacement from ddhdhdhddh?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 173*w**8\/336 + 49*w**5\/60 + 27*w**2 - 3*w. What is the third derivative of s(l) wrt l?\nAnswer: 10380*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) -0.02 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 4*v = 20, -2*o = -3*o - 3*v + 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25, 21, 17, 19, 33, 65, 121, 207?\n\"Answer: l**3 - 6*l**2 + 7*l + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r + 1. Let x(z) = -z - 1 + 4*z - 4*z + 0*z. Let y be x(-2). Let u be m(y). Solve 6 = p + 4*p - 2*k, 5*p - k - u = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or 359?\nAnswer: 359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001783984 to seven decimal places.\nAnswer: 0.0000178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*j**3*y - 27420*j**3 - 2*j**2*y + 227*j*y + 1156*j wrt j?\nAnswer: 108*j*y - 164520*j - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1067683?\nAnswer: 23, 61, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + r**2 - 4*r - 1. Calculate the remainder when d(4) is divided by (-2)\/(-2) - (-8 + -13).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -161*b. Is x(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -p**8\/20160 + p**6\/720 + p**5\/180 + p**4\/8 - 6*p**2. Let j(o) be the second derivative of m(o). Factor j(z).\nAnswer: -(z - 2)*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8128?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 303863474.6 + 2.7.\nAnswer: 303863477.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6518 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*y + 112 = 0, -35 = 5*y - 10. Let f be ((-1)\/4)\/(99\/c). What is the closest to -1\/2 in 2\/3, f, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2529*x**3 - 1417*x**2 wrt x?\nAnswer: -15174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 3:02 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -144 + 155. Suppose -4*p + a*y + 10 = 6*y, 6 = -p - 3*y. Sort 4, 1, p in decreasing order.\nAnswer: 4, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - w - 4*w - 2)*(237*w + 710*w + 25*w).\nAnswer: -972*w**2 - 1944*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 113 = 29. Solve -3*l = q + 3 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 931 and 12863?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -537*h + 159*h + 237*h + 161*h.\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(35) - -2*sqrt(35))*-3 - sqrt(35))*-4)\/((((sqrt(70)*3 - sqrt(70)) + sqrt(70))*-4 - sqrt(70))\/sqrt(10)).\nAnswer: -40*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, n: 2, a: 3, c: 1, g: 1}. What is prob of sequence mn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 26*b**2 - 7*b - 26. Suppose -4*a + 7*a + 63 = -5*z, -4*a - 98 = 2*z. What is the remainder when n(a) is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c - 1. Let w be h(10). Let a = 9 - w. Suppose a*o = -o - 3. Is o less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*j - 83*j - 2*j**2 + 49*j)*((2 - 2*j - 2)*(1 - 4 - 2) + 3*j - 4*j + 0*j).\nAnswer: -18*j**3 + 126*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5 = 3*m. Let s = m - 3. Let x = 4 - s. Calculate the remainder when 11 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1330, 5 in decreasing order.\nAnswer: 1330, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-5*2\/(-120)). Suppose 6*d = 3*d + r. Let l be (d - -22)*(-2)\/(-3). Solve -3*b = -i - l + 6, 4*i + 4*b = 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 32*k**2 - 4407*k - 8970. Determine g(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -795 + 794. Sort q, 0, 2, 0.09 in descending order.\nAnswer: 2, 0.09, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.6, -1\/4, -5\/133?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2206\/171 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1073990350 and 4495?\nAnswer: 4495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 7*r - 10. Suppose 2*q + 8 = 4. Let y = q - 4. Let j be z(y). Is j less than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 299050690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 11662, -2\/19, 0.2 in increasing order.\nAnswer: -2\/19, 0.2, 6, 11662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -202\/135, 1, 12707 in increasing order.\nAnswer: -202\/135, 1, 12707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006190987381 to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/50*-2*1. Let t(p) = p - 1. Let h be t(4). Let f be (-1)\/3*(-18)\/12. Which is the second smallest value? (a) h (b) f (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62327.\nAnswer: 62327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -521932, -521937, -521942, -521947, -521952, -521957?\nAnswer: -521962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 14*y**2 + 11*y - 33. List the prime factors of c(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 0.153984, 3, 2 in ascending order.\nAnswer: -8, 0.153984, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6}. Give prob of sequence eeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n - 22. Let t be q(11). Solve 0 = -t*z - 2*z - 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/(-30) - (-5 + 5). Let d = u - 1\/30. Which is the third smallest value? (a) 4 (b) 0.3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1120 and 1441416.\nAnswer: 201798240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 4 (c) -0.03 (d) -0.2 (e) 0.289 (f) 3 (g) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (287\/(-14) - -1)*(-220)\/15 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k - 10. Let q be g(-5). Suppose -f + q*f = f. Is 12\/11 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -3*s + 4*l, 1933*l - 1935*l - 14 = 2*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -117, -174, -231, -288?\nAnswer: -345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 9) to base 6\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 421841 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 3\/2, -71\/27?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**3 + 9*b**2 - 7*b + 9. Let q(u) = 2*u**3 + 4*u**2 - 4*u + 4. Let c(t) = 9*q(t) - 4*w(t). What is the second derivative of c(g) wrt g?\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -13 - (-22 - 5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1202033 - 32?\nAnswer: 1202001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-12\/5)*(((s*((s*s\/((s**(-5)\/s)\/s))\/s)\/s)\/s)\/s)\/s*s)\/(s**(10\/7)*s\/(s*s**(-1\/41)*s*s)))**(-25) assuming s is positive.\nAnswer: s**(-36930\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 124405*k**3 + 2*k**2 + 9*k + 7. Is b(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((68\/48)\/(-17))\/(273\/312). Let s = -1.5 + -4.5. Let k = -4 - s. What is the fourth biggest value in d, 1\/6, 0.5, k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.5 + 19.5. Let m = u + -21. Which is the nearest to -3? (a) 4 (b) m (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -817, -1679, -2531, -3367, -4181, -4967, -5719?\n\"Answer: u**3 - u**2 - 866*u + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 5*k - 383, 8*k - 11*k = 2*m + 255. Suppose f = 2*l - 94, -4*f + 5*l - 132 = 259. Let r = f - m. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 8*u**2 + 8*u - 2. Give f(-4).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*v**2 + 7*v - 12*v**2 - 3*v + 2 + 6*v - 2*v**3 to h*v + q*v**3 + r + y*v**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-5)\/q**(4\/7)*(q\/(q\/(q*q**(1\/2))))\/(q*q**(1\/8)) assuming q is positive.\nAnswer: q**(-291\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/132 and 95\/408.\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6153 (base 7) to base 9\nAnswer: 2843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -672*u**4*y**3 - 10*u**4 + 82*u**3*y + 21*u**2*y**3 - 4*u**2*y + 2*u**2 - 3136*u*y**3 - 1 wrt u.\nAnswer: -16128*u*y**3 - 240*u + 492*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 6*z + 6. Let m be (-15)\/25 + (-33)\/(-5). Let f be o(m). Calculate the greatest common divisor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -16*m. Let c(i) be the third derivative of 1\/60*i**5 + 0*i**3 - 8*i**2 + 0 + 0*i**4 + 0*i. Calculate w(c(p)).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3331541 and -7?\nAnswer: 2.3320787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 734 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -115600 to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 6 = -3*s + 12, 2*z = 4*s - 30. Suppose 1 = 2*i - s. Let k = i + 536. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -6.7.\nAnswer: -2.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.364746 to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -443, -459, -475, -491, -507, -523?\n\"Answer: -16*n - 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1703441 to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 2*n = 31, 4*n = 1674*w - 1685*w - 41 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4348 - -12394. Is 54 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - -37. Calculate the remainder when a is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 24 = 2*c, 4*c = m - 9. Sort -55, -5, m.\nAnswer: -55, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6*m - 15 = 0. Is -59*m\/6*-2 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1264909773\/(-416)*3\/9. Let i = j - -1013549. Let n = -11\/32 - i. Which is the third biggest value? (a) n (b) -2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 30abd?\nAnswer: -30abb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a = 55*a + 13735. Let l be (-5 - a\/65) + 53190\/39. Calculate the greatest common factor of l and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from fddddfdfdddffffdfdf?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 - (2025 - 2014) - (-570)\/((-15)\/(-3)).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 + -6 + 15 - 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 485*p - 7280. Let b be x(15). Let r(s) = -3*s**3 - 11*s**2 + 6*s - 6. Determine r(b).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 17. Let f = 44 + x. Suppose 3*s - 12 = 0, v - 4*s = -8*s + f. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + (-1)\/(-2 - -3). Suppose 3*s = v*t + 174, 3*s + 0*s = -2*t + 184. Calculate the remainder when s is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 3*g - 2*t + 72 = 0, -3*g = 5*t - 63. Let p = -30 + g. Put 6, 3, p in decreasing order.\nAnswer: 6, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*x, 8*d - 3*d - 4*x + 176 = 0. Is 4\/d + ((-3332)\/(-32) - -4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rdd when three letters picked without replacement from {r: 7, d: 6}.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -24797 plus 3209358.9?\nAnswer: 3184561.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1508 and 1566?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2 + (6*sqrt(32) + sqrt(20)\/(sqrt(40)\/sqrt(4)))*5))**2 + -2 + 3.\nAnswer: -4500*sqrt(2) + 281287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 359200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-91)\/14)\/13)\/(((-1776)\/(-5920))\/(4\/5))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84224 a multiple of 352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 66639647 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0.8 (c) -1\/5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 7*w + 11. Let i = w + 27. Suppose -3*q - i = -64. What is the greatest common divisor of q and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4132 + 4159. Solve -13*p + 25 = -o for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 155 = -10*h + 2*z, -2*h - 90 = 2*z. Is -50 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55 (base 15) to base 6.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3 + -1 + -4 + 8 + -24\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2150961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*z - 2*r, r = 3*z - 4*r + 9. Let x be -1 + -10*5 + z. Let n = -29 - x. What is the greatest common divisor of 50 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57518 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 10 + -2 + (10 - 13)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 158958227?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -s**6\/1980 + s**4\/132 - s**3\/2 + s. Let b(i) be the second derivative of u(i). Solve b(m) = 0 for m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 709 = 131. What is the highest common divisor of n and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 22 + 26. Let x = -8 - -11. What is the derivative of 5*v - 4 - x*v - u*v wrt v?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 571 minutes before 3:56 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 + -1044?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 8*r**2 + r - 5. Let y be v(8). Let l(f) = f**3 - 3*f**2 - 1. Give l(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 7:51 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 12) to base 2\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f**2 + f**2 + 2*f**2)*(-f + 2*f - 2*f) + (-415 + 974 - 323)*(-2*f**3 - 3*f**3 + 13*f**3) to b*f**2 + u*f + r*f**3 + h and give r.\nAnswer: 1887","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 32 = v. Let o = v - -10. Solve -o*s = 3 + 7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71 - 78 - 56 + (-2 + 0 + 3)*(-3 + 5 - 3))*(0*s**2 + s**2 - 3*s**2).\nAnswer: 412*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -680, -2734, -6158, -10952?\n\"Answer: -685*w**2 + w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 137 (base 16) to base 14.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 23, 2, 126783?\nAnswer: 126783","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2044*d + 1970*d - 6053*d + 2041*d - 25777*d**2)*(2 - d - 2)*(2 - 3 + 4) in the form w*d**3 + b + l*d + x*d**2 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -243 - -162.2?\nAnswer: -80.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 218.85 - 215.85. Which is the fourth biggest value? (a) -2 (b) k (c) 2 (d) 3.201\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6338 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 3*t - 7. Let c be d(-2). Let l be 0 - (-2 - -2)\/1. Suppose 0 = -2*k + 2*j + 44, -4*j - 48 = -2*k - l*j. Solve -2*b - k = c*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1006 - 1006 - 13*w**2 + w - w.\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2102210 - -121010?\nAnswer: 10000220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.0638 and -1\/36 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000313027 to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 3)*(0*o**2 + o**2 + o**2) + (-1 - 4 + 2)*(1 + 2*o**2 - 1) to u*o**2 + w*o + c and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*d - 17*d - 16 + 1.\nAnswer: 2*d - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2375\/12439?\nAnswer: -2375\/12439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 120732723 to the power of 1\/3, to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 141782565?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/2))**(3\/11)\/((b\/(b*b**(-2\/5)))\/b*b*(b*b*b\/(b\/(b\/(b\/(b*b**6*b)))))\/b) assuming b is positive.\nAnswer: b**(-1049\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4394\/55 + 399\/5. Let t be (-4)\/(-12) - 5\/9. Which is the nearest to t? (a) h (b) -0.1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37293167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 12 = -o, -24 = -3*o - 0*o + 5*p. Let l(d) = o*d + 14*d**2 + 3 - 5*d**2 + 11*d**2. Is l(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 560*21\/18 - (-6)\/9. Let o = r + -656. Which is the nearest to o? (a) 12 (b) 0.3 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 8:44 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -17501 (base 11) to base 15\nAnswer: -7429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.040008 (b) -5 (c) 123\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/4 + 7055*t**2 + 13207773*t\/4 + 779232537\/2.\nAnswer: (t + 237)**2*(t + 27746)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*a = 98 + 66. Sort 0.5, a, 0.6 in decreasing order.\nAnswer: 0.6, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 9:24 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d. Let n(b) = 2*b + 2626. Calculate n(c(t)).\nAnswer: 4*t + 2626","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x - 82*x**2 + 112*x**2 - 3*x - 4*x as i + a*x + s*x**2 and give s.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 5\/2, 5, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 228 by -1626350.\nAnswer: -114\/813175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 606 - v - 5*v + 2*v + 2*v - 602.\nAnswer: -2*v + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6765*-12\nAnswer: 81180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -9. Let b(d) be the third derivative of d**4\/24 - 7*d**3\/6 - 2*d**2 + 21*d. Calculate b(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/105 + 262\/14. Let j = 31 - m. Suppose 0 = -4*n + w + j, 0 = w - 2*w - 4. Solve -3*f = -n*f - 5*g + 4, -5*f + 2 = -3*g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 255\/900 - (-3)\/(-36).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27976 is divided by 51?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -909*i + 1092. What is d(2)?\nAnswer: -726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q. Let n(m) = 54813*m. Calculate n(p(j)).\nAnswer: -54813*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -111060860 rounded to the nearest 100000?\nAnswer: -111100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74461212?\nAnswer: 2, 3, 7, 23, 29, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*n - 3. Let k be n\/8*2*2. Calculate the greatest common factor of 21 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 u, and 1 o when three letters picked without replacement from {o: 1, u: 1, t: 1, b: 4, l: 5, i: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y + 442. Let o be s(-111). Is 36.69 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/24)\/((-2)\/21). Let y be 2 + w\/(-4) + 4\/16. Suppose -4*t - 156 = -4*o, 116 = y*o + 3*t - 54. Calculate the remainder when o is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 9*s - 60. Calculate the highest common divisor of s and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10792 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54022934349945.2300002 + 54022940096443. Let y = z + -5746431.77. Let o = -66 + y. What is o rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 6 = 6. Let x be 3 + 0 + 6\/h. Suppose -1 = -x*l - 6, 3*l = 2*p - 9. Solve 4*n = -2*a - 5 + 13, -p*n = 4*a + 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = p + 3*o, 29 - 9 = 3*p + 4*o. Is p > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**17\/(p\/p**(-18)))**43)**(10\/7))**36 assuming p is positive.\nAnswer: p**(-30960\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-11)\/3)\/(1\/(-3)). Let f(g) = g**3 - 5*g**2 - g + 1. Let a be f(5). Let c = u + a. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56318 and 26234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -195467\/5506 + 2\/2753. What is the common denominator of 73\/(-20) + (-2)\/(-4) and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 141666\/71, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92533 is divided by 11565?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 4) to base 11\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + 1 + sqrt(252))*-5 - -2*(1 + sqrt(7))*-4 - (-1 + sqrt(112)*2 + -1*(sqrt(7) - (sqrt(7) - sqrt(42)\/((sqrt(24) - sqrt(6)) + sqrt(6))))))**2.\nAnswer: 1812*sqrt(7) + 160183\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 185 = -2*k + 5*x, 3*k = 2*x + 261. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 3*n. Let u(s) = -s - 5. Calculate u(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1269948?\nAnswer: 2, 3, 105829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1635*a**5 + 18*a**3 + 1840*a - 3?\nAnswer: 32700*a**3 + 108*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9864340 divided by 4.\nAnswer: -2466085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 5, 2, -1\/6, -327?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 9*h**2 + 9*h**2 - 4*h**2 - 15*h**2. Let z(q) = -597*q. Calculate z(k(w)).\nAnswer: 597*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**6\/20 - b**5\/60 + b**4\/24 + b**3\/3 + 19*b**2 - 2. What is y(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*z**2 + 35 - 35.\nAnswer: 39*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -34, -5, -4\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 200136522*d**3 - 446508013*d?\nAnswer: 1200819132*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*i + 6823 = -6345 - 4976 for i.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 3*y - 9 = 0, 3*y + 126 - 37 = -23*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1018909 nanometers to meters.\nAnswer: 0.0000000001018909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 148\/7 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1077 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.045, 0, -2\/89, -3, -1, 3\/4 in descending order.\nAnswer: 3\/4, 0, -2\/89, -0.045, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*z**5 - 94*z**4\/3 - 64*z**3\/3 + 4*z**2 + 20*z\/3 + 2\/3 = 0. What is z?\nAnswer: -1, -1\/9, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107436 is divided by 85?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -10*i**2 + 13*i. Let l(u) be the third derivative of -u**5\/20 + u**4\/6 - 5*u**2. Let h(o) = 2*a(o) - 7*l(o). Let z be ((-12)\/8)\/(6\/(-8)). Give h(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 12:26 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -x + 122. Calculate the remainder when (3\/18)\/((-11)\/(-21450)) is divided by x.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.1 (b) 5 (c) -0.002 (d) -86.2 (e) -2 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/50 + 18708\/(-100). Let f = -517 + 1206. Let n = f + b. What is n rounded to the nearest 10?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 6*t + 7. Let f be a(-3). Let x(q) = -4 + f*q**2 + q + 24*q**2 + 5. Is x(-1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37211 + -25374. What are the prime factors of t?\nAnswer: 7, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 543*w**3 + 559*w**3 - 1109*w**3.\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494 is divided by 450?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9623, -1, 5, 4, 24.\nAnswer: -9623, -1, 4, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185 divided by -37.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211431142 (base 7) to base 9.\nAnswer: -25541347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11\/3 (b) 1 (c) -1\/4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -353*r + 8*r - 175*r - 31*r + 77*r as g*r + h and give g.\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 194.\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/30 - (3 - 546\/45). Let x = 9 + -3. Calculate the remainder when (-89)\/(-3) + -3 + 21\/i is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4286269 is divided by 691?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 8:39 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -987, -2047, -3109, -4173, -5239, -6307?\n\"Answer: -h**2 - 1057*h + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7137 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18642 and 321334.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 - 143*f - 3865. Give c(92).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -295732 divided by -5?\nAnswer: 295732\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4\/18*(-72)\/48\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 4*d**3 - 43812*d**2 + 87612*d - 43804 = 0.\nAnswer: 1, 10951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4026881 micrometers to meters.\nAnswer: 0.0000004026881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97546 is divided by 422?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*h*l - 3*h + 17784*l - 130863 wrt l.\nAnswer: 16*h + 17784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-542 + 1125 - 458)*(3*t - 2*t + 0*t) + 6*t + t - 4*t)*(-3*t + 4*t - 2*t).\nAnswer: -128*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5188547773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -11*y**5\/20 - y**4\/6 + y**2\/2 + 281*y. Give j(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*u - 20 = 30*u. Let w(q) = 23*q**2 - 23*q - 77. Is w(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 6 + (-5 - 1 - -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9 - 0.1. Suppose -8*n + 3*n + c = 55, -44 = 4*n - c. Let x = n + 8. Which is greater: x or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = k - 4, 4*h + k = 41. Let d(s) = 11*s - 114. Let c be d(11). Suppose 217 = -c*o + 231. Calculate the least common multiple of o and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -70.14952 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/((-12)\/4) - 2. Let g = 4 - r. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2005, -1867, -1731, -1597, -1465, -1335, -1207?\n\"Answer: -x**2 + 141*x - 2145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 554353567?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s + 12. Let g(i) be the first derivative of -i**3\/3 + 8*i + 2208. Determine r(g(p)).\nAnswer: -3*p**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 233 - 217. Suppose -3*i = -15 - 0. Calculate the remainder when s is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a minute in seconds?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 + 23. Let i(b) = b**3 + 3*b**2 - b + 1. Let k = 1287 + -3919\/3. Find the common denominator of i(c) and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w + 7. Let h(p) = p + 2. Let q(b) = -14*h(b) + 4*t(b). Let o(i) = -3*i**2 - i**2 + 3*i**2. Give o(q(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (1 - 0) - (-15 - -25)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 5*v + 10 = -10, 8 = 4*v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 198, 275, 352, 429, 506, 583?\nAnswer: 660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 23*f**2 + 181*f - 9. Let a be l(-12). What is the greatest common factor of 13 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*z - 3*g - 13, -g = -3*z + 7. Suppose 0 = o + z*o. Solve o = t + t - 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1964833, 3929659, 5894485, 7859311, 9824137?\nAnswer: 11788963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-5) - (-38)\/10. Suppose -n = -t*r + 188 + 384, -2*r + 286 = 4*n. What is r rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/42)\/((-12)\/(-168))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -15*(2\/12)\/(27\/54). Let l(v) = -v**3 - 3*v**2 + 12*v + 15. Let z be l(b). Let t(a) = a - 17. Give t(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330)*1)\/sqrt(6))\/sqrt(5)*-2 - (sqrt(88)\/(sqrt(8)*-2) - (sqrt(11) - (sqrt(396) + -1))**2).\nAnswer: -23*sqrt(11)\/2 + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/4 and 47\/542740.\nAnswer: 542740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vkyvqzy. What is prob of picking 1 v and 1 z?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 213 and 16977.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/21)\/(-19*6\/(-228))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + 25. Let h(w) be the second derivative of -w**4\/12 + 8*w**3\/3 + 11*w**2 - 4*w. Let k be h(17). Solve 14 = -k*z + r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 10*y - 6*y + 16, 5*g + 2*y = 6. Solve 3*c - 4*x - g = 0, -c + 2*x = -0*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 170261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40460 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -3 (b) -5 (c) -17 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -337*o*r**3 - 2*o*r**2 + 2*o*r + 18*o + r**3 + 10*r**2 + 1342 with respect to o.\nAnswer: -337*r**3 - 2*r**2 + 2*r + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100201111 - -202?\nAnswer: -100200202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/2)\/h*h)**34\/((h*h*h\/(h\/(h*(h\/(h**(1\/3)\/h))\/h*h)))\/h*h**(-2\/9)) assuming h is positive.\nAnswer: h**(122\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 3045*r**2\/2 - 3113*r + 3231. Differentiate g(l) wrt l.\nAnswer: 3045","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - (-128)\/(-28) - -3)*-7. Suppose 98 = l + 2*u + u, f*u - 102 = -l. What is the remainder when l is divided by 25?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 - -3. List the prime factors of o.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**4 + 5*y**4 + 0*y**4)*(3 + y - 3 + (-5 + 3 - 1)*(2*y - 4*y + 5*y)).\nAnswer: -48*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -w + 570, 0 = 43*w - 48*w - 2*q + 2850. What is the highest common divisor of w and 456?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**3 + 0*y + 0*y + (51881 - 26252 - 27872)*(y**3 - 6*y**3 + 4*y**3).\nAnswer: 2245*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2\/11*d**3 - 448\/11*d + 58\/11*d**2 + 392\/11 = 0?\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 128060?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 400 and 40.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -914743*q**5 + 341749*q.\nAnswer: -18294860*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -227 - -147. Let y be 20\/o - (-447998)\/(-8). Round y to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 294492 by -6.\nAnswer: -49082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-60)*3*(-10)\/(-18)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**2\/6 - 89*t\/6 = 0.\nAnswer: -89, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 993210 is divided by 672.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27\/206300 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2609338?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -86175*u**3 + 82725?\nAnswer: -258525*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w = -18*w - 3*m + 58796, 0 = 4*w + 5*m - 58796. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1540*c**3*g**3 + 6*c**3*g**2*l**2 + 41*g**3*l wrt l?\nAnswer: 12*c**3*g**2*l + 41*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11152140 divided by 4.\nAnswer: 2788035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -1244 (c) 2\/33 (d) 0 (e) -6.62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 2:48 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18802, -75186, -169176, -300766, -469950?\nAnswer: -676722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -22*k. Let h(b) = 3*b**2. Determine j(h(n)).\nAnswer: -66*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by (5 - 120\/56)\/(4\/14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 6*h**2 - 11*h - 936. What is g(0)?\nAnswer: -936","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 75*r - 45.\nAnswer: 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56210, 56212, 56214, 56216?\nAnswer: 56218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 2. Let a(p) = -p**2 - 18*p + 1. Let z be a(-19). Let l(m) = -m**3 - 17*m**2 + 20*m + 36. Let y be l(z). Solve y = r*c + c + 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1292 + -1291.8. What is the smallest value in 0.03, -5\/2, -4, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -12*u. Let f be i(-2). Let z = f - 22. Suppose 0 = l + v - 7, -l = -z*v + 4 + 4. Solve 5*x - l*a + 2 = 2*a, 4*x + 1 = 3*a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-235)\/188 + (-3)\/(12\/(-13)). Factor -c*s**4 - 22 + 7*s + 8*s**2 + 2*s**3 - 3*s**2 + 24 + 3*s**2 - s**5.\nAnswer: -(s - 2)*(s + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 201936?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/265947 and -59\/264?\nAnswer: 2127576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -523.1 - -571. Let v = h - 48. Which is the nearest to -0.1? (a) -2\/9 (b) v (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/54*30 - (2 - 32). Solve 0 = -4*i - 5*t + 2*t + 24, -q = -3*i - 4*t for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 20. Suppose d*x + 10 = 4. Sort -2, 7, x.\nAnswer: x, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - -6) + 10\/(-8). What is the nearest to -1 in 2, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 11. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddqdddqd. Give prob of sequence ddqq.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -ab4927 (base 12) in base 4?\nAnswer: -22121030233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(33\/2) - 1743\/(-33). Suppose d*t - 51*t = -56. Let s = t - -52. Is s a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 16*l + 135098 = -14*l, -5*n + 337785 = -5*l. What are the prime factors of n?\nAnswer: 43, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -5*j + 10*j. Calculate the remainder when j is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250550808019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 540438*a + 1080870. Give m(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1399279.86848 and 0.2?\nAnswer: 1399279.66848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-700)*5)\/(9*(-5)\/(-25))?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -13*x**5 - x**4\/4 + 2*x**3\/3 - 37*x + 74. Find the third derivative of g(u) wrt u.\nAnswer: -1560*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 11. Let u(r) = r**3 - 6*r**2 + 7*r - 6. Let w be u(f). Suppose 3*j + 3*s + 1 = -29, w*j - 3*s + 12 = 0. Let x(i) = i**2 + 8*i + 3. Give x(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 6*t**2 - 14*t + 34. Let x be j(-8). Let s(z) = -z**2 + z + 2. Let d be s(0). Suppose -d*a + 12 + x = 0. Solve -4*i = i + a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -8*n - 726. Let o = n - -58. Let t = -35 - o. Solve -20 - t = -5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11135*o**3 + 10915*o**3 - 22048*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -v**8\/1176 - 32*v**7\/245 - 139*v**6\/35 + 14936*v**5\/105 - 1584*v**4 + 62208*v**3\/7 + 11544*v**2. Factor m(u).\nAnswer: -2*(u - 4)**3*(u + 54)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 195, 409, 623, 837, 1051?\nAnswer: 1265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -451712 or -451720?\nAnswer: -451712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21*l + 10*l - 50*l - 51*l)*(-10 + 4*l**2 + 10) to a*l + i*l**2 + s*l**3 + p and give s.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a day in minutes?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/429 and 452\/(-96)*(16 + 550\/(-33))?\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 1.9. Let k = 652 - 1634. Let w = k - -981. Which is the closest to -1? (a) v (b) 0 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -1, 5, 23, 14 in ascending order.\nAnswer: -15, -1, 5, 14, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 1733?\nAnswer: 1731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 45*p**3 - 5*p**2 - 8*p - 11. Let n(y) = -15*y**3 + 2*y**2 + 3*y + 4. Let j(f) = -11*n(f) - 4*x(f). Calculate j(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 59855855 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 120) + ((-268)\/(-12) - 20 - 230\/15).\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1821978151 to the power of 1\/3, to the nearest integer?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*r**3 + 16*r**2 - 3*r + 15352?\nAnswer: 48*r**2 + 32*r - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -377 (b) -12 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2. Let p(z) = -2*z + 5. Let s(j) = -4*j + 10. Let b(y) = 13*p(y) - 6*s(y). Determine d(b(i)).\nAnswer: -4*i**2 + 20*i - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2. Let u(j) = -j**3 + 8*j**2 + 5. Let q be u(8). Let y(o) = 5*o**2 + 11*o + 4. Let w be y(-2). Let v(d) = 7 - 3*d**2 - w - q. What is v(k(c))?\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(-1\/4))*b*b)**(-2\/11)*b**(-2\/7)\/((b*b**(2\/25)*b)\/b*b) assuming b is positive.\nAnswer: b**(-10333\/3850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*o + 3*o - 40 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2da40 (base 14) to base 3.\nAnswer: 12211002111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-4)\/6 + 115\/15. Let f(a) = -6*a - 1. Let c(d) = -908 + 452 + 457 + 7*d. Give m*f(j) + 5*c(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - q - q**3 - 4*q + (3 - 3 - 1)*(3*q**3 - 3*q**3 - 4*q**3) + 3*q**2 - 3*q**2 - 2*q**3.\nAnswer: q**3 - 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 p, 1 m, and 1 a when four letters picked without replacement from {m: 4, p: 7, k: 1, s: 3, a: 1}.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -93 + 93.048. Let q = -1.048 + g. Which is the second smallest value? (a) 0 (b) q (c) 0.4 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-60)\/8)*3*16\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 0 (b) 1 (c) -7627 (d) 4 (e) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8400 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 j when three letters picked without replacement from ljttttjwlj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g**3 - 64*g**2 + 62*g - 5. List the prime factors of b(-34).\nAnswer: 5, 8363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence di when two letters picked without replacement from iiiiiiiiiiiiiiiiidii?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 511221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1029, -8524, -28869, -68490, -133813?\nAnswer: -231264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o - 1. Let v be d(-1). Let m = -1192 - -777. Let u = m - -411. What is the closest to v in -3, u, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 6 = -46. Let w(o) = -o**3 + 10*o**2 + 5. Let i be w(10). Let h(q) = -q - q + i + 4*q. What is h(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - 14. Suppose -j - 2*j = -m. Suppose -3*k + j = -4. Let u(z) = -z**2 + 5*z - 3. What is u(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2202 - 2198. Let y(c) = c**3 - 3*c**2 + 5. Calculate y(k).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 14 = 4*h - 2*h, -4*o = -3*h + 1. Let p(s) = -16*s - 67. What is p(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0389877 - -188206846?\nAnswer: 188206846.0389877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttnvtvvvttttttttvvv. What is prob of picking 2 t and 1 v?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31115152 divided by -4.\nAnswer: 7778788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/8 and 57\/1040.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -95 - -97. Suppose q*k - 4*s = -188, -k - 4*s - 27 = 37. Let m = 98 + k. Calculate the highest common divisor of m and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.05 (b) 0 (c) 18254.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -4, 0, 26583?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 3*z - 34, -127*r + 68 = -119*r + 5*z for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 173990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/6 and 35\/106.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (8 - (-2 + 2)). Let o = 45667\/8 + -5716. Calculate the common denominator of o and (i\/(-28))\/((-6)\/(-8)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*b - 45 = 0, -6 = -b - 9. Let v be (-2 - h\/5) + 0\/19. Sort 4\/29, v, 0.1 in descending order.\nAnswer: v, 4\/29, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2556 - 5?\nAnswer: -2563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 4 - 3 + 3*g.\nAnswer: 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -99*i + 26*i**3 + 99*i + (2*i**2 - 2*i**2 + i**2)*(4*i + 2*i - 4*i) - 2*i**3 - 2*i**3 + 5*i**3 + 3*i - i**3 - 3*i.\nAnswer: 28*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2259082207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 132\/55*25\/(-1). Let i be (200\/v)\/(5\/(-6)). Solve l = -i*l + 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 3*v**2 - 4*v + 5. Let m be x(4). Suppose 13*q = m*q - 24. Sort 1, -5, q, -11 in decreasing order.\nAnswer: 1, q, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1141*h**5 - 58*h**4 + 10*h**2 - 337613*h + 40 wrt h.\nAnswer: 22820*h**3 - 696*h**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvwvwvv. Give prob of sequence vww.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 6*q**3 + 4*q**2 - 2. Let w(n) = 8 + 3518*n**2 - 3 - 3526*n**2 - 13*n**3. Give 9*a(v) + 4*w(v).\nAnswer: 2*v**3 + 4*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 782.6 * -0.3.\nAnswer: -234.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -8*i**3 + 6*i**2 - 5. Let a = -69 - -64. Let p(t) = 7*t**3 - 5*t**2 + 4. Calculate a*f(g) - 6*p(g).\nAnswer: -2*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a tonne in kilograms?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124864 is divided by 113.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 505 and 707.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-five quarters of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/89453 and -83\/102232.\nAnswer: 715624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, u: 1, w: 5, x: 1, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87745 = 699*p - 70*p + 176*p for p.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 104\/795 - 14\/53. Which is the second biggest value? (a) g (b) 3\/2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 - -33. Let g = 1 + -1. Let k = m + g. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 5*d - 9, 3*b + 2*d + 2*d - 30 = 0. Let l be 1 + b\/(-45) - 1. Sort l, 1, 2 in increasing order.\nAnswer: l, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 2:47 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33083, -33084, -33085?\nAnswer: -33086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -9*o. Let p(f) = -10*f. Calculate p(v(y)).\nAnswer: 90*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*y - 4 = -22, -4*f = 5*y - 20. Let j be 4\/f + 12\/(-30). Suppose -2*q + j*n = -5*n - 61, 3*q + 5*n = 104. What are the prime factors of q?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103584091.\nAnswer: 13, 7968007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**2 - 115*y + 300 = 0. Calculate y.\nAnswer: 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62 - -76. Suppose -16*a + t*a = -506. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 0.16 (b) 0.17 (c) -5 (d) -2\/17 (e) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1056 divided by 16?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18115309 to the power of 1\/3, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8715183*t + 69788452.\nAnswer: -8715183","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 8 + 0 - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4117158 or -4117168?\nAnswer: -4117158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.17 and 0.33.\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.044 in 3, -2.1, 0.8, 9?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 26*m**2 + 4*m - 80. Let l be p(-18). Let d = -1440 + l. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 25*b + 25. What is m(-20)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -6*g**2 + 10255*g - 101960. Calculate t(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 3:51 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26260 - 8433. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 584 = 4*b, 38*b - 1160 = 4*d + 34*b. Is -288 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 6 = -n + a, 0 = 5*n - 4*a - 42. What is the least common multiple of n and 1*(8 - (-2)\/(-2))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35741 + s**2 + 17871 + 17870.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 40 + 12. Let w = p + -4. What is the second derivative of w*c + 4*c**5 + 0*c**5 + 3*c wrt c?\nAnswer: 80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m - 12. Let r(k) = 34*k + 42. What is 4*c(s) + r(s)?\nAnswer: 38*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 8:16 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 4*c**2 + 2. Let f be i(4). What is the first derivative of f - 5*o + o + o + 0*o wrt o?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 1061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 11. Let k be r(-5). Let m = -13\/2 + k. Let h = -0.8 - -4.8. What is the closest to 0 in 5, h, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -85, -91, -97, -103, -109?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -4777.\nAnswer: -3\/4777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8aa + -a?\nAnswer: -8b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + 28 + 33 + -23.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25082111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -6*d**2. Let u(h) = -h + 1. Let s(g) = 2*g**2 - 2*g + 2. Let v = 20 + -12. Let a = -12 + v. Let j(z) = a*u(z) + 2*s(z). Give j(i(t)).\nAnswer: 144*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 5. Let w(p) = 2*p - 3 + l + p**3 + 2 - 4*p**2 + 2. Let i be w(4). What is the greatest common divisor of i and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by -10\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/9)\/((-1)\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from edggldygyfygdy. Give prob of picking 1 e and 3 g.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 + 24\/3 + 215?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -c + 5*d + 4, c = -4*d + 18. Suppose -2*u + 28 = 3*u - c*b, -5*u + b + 29 = 0. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5865870688.\nAnswer: 2, 23, 239, 33347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0350004 to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*k - r, -r - 3 = -5*k + 13. Suppose -c = p - k - 63, -265 = -4*c - p. Let g = 1968 + -1924. Calculate the highest common factor of g and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 l when two letters picked without replacement from {u: 3, l: 4}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 910.2726 meters in centimeters?\nAnswer: 91027.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -410065 less than -410067?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -24486034052.8569 take away 0.3?\nAnswer: -24486034053.1569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 157 + -157.3. Let g(f) = f**3 - 7*f**2 + 6*f + 3. Let h be g(6). Let s = h - 0. What is the nearest to 0 in -0.1, s, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**5\/2 + 15*z**4 + 15*z**3 - 40*z**2 - 75*z\/2 + 45 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4299 - 532*g + 3933 - 8230.\nAnswer: -532*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1878 - -8?\nAnswer: 1886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1262, 0, 1, -5 in descending order.\nAnswer: 1, 0, -3, -5, -1262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00142478 rounded to five dps?\nAnswer: 0.00142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -973879*r**4 - 335164.\nAnswer: -3895516*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooopoopopo. Give prob of sequence oop.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7024.177 nanograms in tonnes?\nAnswer: 0.000000000007024177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3899 (base 15) to base 13.\nAnswer: -5655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.26 and 2101851.7979.\nAnswer: 2101856.0579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1386 and 16984198?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 59087, 16 in increasing order.\nAnswer: -2, 16, 59087","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14.2151 and -0.6.\nAnswer: -14.8151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 6*t**2 + 9*t + 48. Let m(o) = -o**3 - 7*o**2 - 12*o - 47. Calculate -3*m(s) - 4*r(s).\nAnswer: -s**3 - 3*s**2 - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 2*n - 9. Let f(l) = -2*l**2 + 2*l - 9. Suppose 468 - 80 = 134*c - 14. What is c*f(b) - 4*d(b)?\nAnswer: -2*b**2 - 2*b + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(((-1)\/3)\/((-2)\/(-18)))\/(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (81\/14850*50)\/((-75)\/10).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2229, -17487, -42931, -78573, -124425?\nAnswer: -180499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 4. Let f(l) = l + 7. Let w be f(y). Put 20, w, -1 in increasing order.\nAnswer: -1, w, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -71*l**2 + 71*l**2 + 122*l**3 + (2*l**2 - 2*l + 2*l)*(1 - 3*l - 1) + 2*l**3 - 3*l**3 - 4*l**3.\nAnswer: 111*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 48946 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h - 12. Let b be a(-3). Solve -3*j + 2 + 4 = b for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 2. Let t(r) = 54 + 11*r - 20*r - 23*r + 3*r. Let k(w) = -3*s(w) + t(w). Differentiate k(v) with respect to v.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2230, -2254, -2294, -2350, -2422?\nAnswer: -2510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010000010101100 (base 2) in base 4?\nAnswer: 122002230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2*-383\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -547 + 555. Solve 13 = 7*i - b for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 10*b - 18. Let u be d(-7). Let u*w**3 - 16*w - 95*w**2 - 4*w**3 + 103*w**2 = 0. Calculate w.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -195 + 176. Let q(z) = z**2 + 14*z - 103. Let o be q(r). Let b(n) = n**2 + 7*n - 8. Give b(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5361, 5352, 5339, 5322?\n\"Answer: -2*x**2 - 3*x + 5366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k - 3 - 2*k + 4*k. Let p be s(-3). Factor -4*u - 3*u**p + 8*u + 2 - u**3 - 2*u**4.\nAnswer: -2*(u - 1)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 - -29. Let x = 1662 - 3409\/2. Find the common denominator of x and 2088\/z*(0 - 1\/12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18097 is divided by 970?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in 5, 1\/3, 1\/32?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*u = 0, 0 = 2*j - 2*u - 0*u + 12. Let o = 1.21674 + -15.21674. Which is smaller: j or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69520000 rounded to the nearest one million?\nAnswer: 70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iydxccddiqdcd. Give prob of sequence yi.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + 2*i + 5*i + (-2*i - 2*i - i)*(-2 + 0 + 0) - i + i + 2*i - i + 4*i - i + (3*i - 3*i + 2*i)*(-3 + 4 + 1) + 4*i + 0*i - 5*i - 23 + 5*i + 23.\nAnswer: 28*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 594758146?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12466 + 2835 + 1605 + 8428)*(2*a**2 - 2*a**2 + a**2).\nAnswer: 25334*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, y: 2, v: 6, e: 1}. What is prob of sequence ecc?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from jjjjjjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(720) - sqrt(720)*-2) - sqrt(720))\/(sqrt(40)*2*-3).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43645526 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.039 - -0.037. What is t rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 519306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 547674 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: Suppose 0 = u - 8 - 2. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4743 and 7371552?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2382 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 i when three letters picked without replacement from {w: 3, i: 3}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/63)\/(2\/(-6)). Let n = -4 + 6. Which is the third biggest value? (a) n (b) w (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 33 (b) -0.5 (c) -2 (d) -1\/8 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/3)\/((-2)\/(-3)). Let c = 38 + -16. What is the highest common divisor of i and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35403864.83514653 - 35403865. Let s = 0.05185416 + i. Let m = 0.113 + s. Round m to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 893352*j**3 + 4104*j - 34 wrt j?\nAnswer: 5360112*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 0) + -4 + 5. Let m be (-2 + 6 + -2)*-1. Let k be (m\/6)\/(-1) - 55\/99. Put 4, k, h in ascending order.\nAnswer: k, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 3*u + 696 = 16*c, 0 = 5*u - 5. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1*sqrt(245) + -1)*-5)**2*1 + 3.\nAnswer: -350*sqrt(5) + 6153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + u + 4. Let m(d) = -5*d**2 + 20*d - 2. Let t(z) = -m(z) + 3*s(z). Suppose 2*f + 3*f - 65 = 0. Is t(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261 - 721 = -5*p. Suppose -134*o**2 + 15*o + p*o**2 + 67*o**2 = 0. What is o?\nAnswer: -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*c - 136. What is the remainder when c is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5484*v - 2 - 14197*v + 5545*v in the form y*v + f and give y.\nAnswer: -3168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, x: 2, y: 1, f: 2, v: 1}. What is prob of sequence qx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 178.0917619 to one dp.\nAnswer: 178.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -532*y - 5984. Let v be m(-24). What is the highest common factor of 64 and v?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 4*i - 6 = 0, -i - 7 = 155*a - 84*a - 69*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 10, t: 2}?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 189 - 241*y + 37*y - 189 to the form c + x*y and give x.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.26 + 2.26. Let k = -2.4 + 0.4. Let c = -1.9 - k. Are m and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 24 + 40 = 3*x, -3*x = -3*m - 60. Let t = -8 + x. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**5\/60 + x**4\/2 - 2*x**3\/3 + x**2 + 20*x + 1. Let w(u) be the first derivative of p(u). What is w(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 3, 166, 1, -86 in descending order.\nAnswer: 166, 3, 1, -12, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/6)\/(12\/(-54)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185178797.\nAnswer: 185178797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -12*q**2 + 5*q - 10. Suppose -5*j + 29 = f, 0 = -4*j + 5*f - 0*f. Let s be t(j). What is the units digit of s\/(-18) - 1\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -i + 2*u, 22334*i - 22339*i - u = 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 3 = -3*s, 7*k - 4*k + 3 = s for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -522 at most -522?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 384*z**2 + 46 - 7 - 1205*z**2 + 40*z - 25*z - 13*z wrt z.\nAnswer: -1642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 9:59 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7c6a (base 14) to base 7.\nAnswer: 120063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 3*g - 44 = -33, 0 = -5*s - 5*g + 5. Solve 10 = 2*t + 4*j - 0*j, 2*j - 6 = -s*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -11*w. Let g(s) = 6*s**2 + 204. Give g(x(h)).\nAnswer: 726*h**2 + 204","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.08, 4\/9, -1\/632 in descending order.\nAnswer: 4\/9, 0.4, 0.08, -1\/632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 385795459 a multiple of 1001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16007 + -15813. What is the lowest common multiple of 14 and q?\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -64491\/97 > -664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 17 + 3 + 3*u - 20 - u.\nAnswer: 2*u - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 33*g**2 - 9*g - 75. What is the remainder when p(-18) is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, h: 6, r: 4, v: 1, w: 4}. Give prob of picking 1 f and 1 w.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 883171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 11, 5, 45652020 in increasing order.\nAnswer: 3, 5, 11, 45652020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 284640 to the power of 1\/2, to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 97*f - 7683. Determine t(76).\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16\/9, -1, 3, 68\/15, -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q. Let j(w) be the second derivative of 0 + 3*w + 1\/6*w**4 + 0*w**3 + 0*w**2. What is l(j(z))?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220943148?\nAnswer: 2, 3, 18411929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 228 + -118. What are the prime factors of x?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 0)*-1*(1 - 0). Let z(v) be the third derivative of v**6\/60 + v**3\/6 - v**2. What is z(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 z when two letters picked without replacement from lxllllzhjluljjllxlx.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7*5.2\nAnswer: -36.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1562)\/(-426)*(-162)\/99?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-140)\/168 - 598\/(-732))\/((-19)\/38)?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -758595379\/5 >= -151719075?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.8411749 and -4.429.\nAnswer: -7.2701749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -720375.2 from -4.\nAnswer: 720371.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -g + 5. Let p(o) = -6 - 6*o + g*o - 10*o + 2. Is 18 a factor of p(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 44456*w**3 + 13*w**2 - w + 42. Let b be v(6). Round b to the nearest 100000.\nAnswer: 9600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f - f**2 + 24*f - 17*f.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -1, -275, 0, 289, -3 in descending order.\nAnswer: 289, 2, 0, -1, -3, -5, -275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 8*m**2 + 32 - 2*m**2 + 12*m**2 - 10.\nAnswer: 2*m**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 338*o**4 + 290524*o**3 + 84276840*o**2 + 111028941748*o\/13 + 1093713494126\/13.\nAnswer: 2*(o + 11)*(13*o + 3677)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6978909958132 minus -0.16?\nAnswer: 6978909958132.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 + -3 + 5 - -3 - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2705 equal to -2860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 29. Let h = -8 - t. Solve -12 = 6*l - h*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/13 (b) -0.07 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 44*j - 8. Suppose -3*m = -4*i - m, -4*i = -4*m + 8. Suppose 2*d + i*o + 182 = 4*d, -4*d + 3*o + 366 = j. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -9.33\nAnswer: -27.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 446*q + 0 + 0 + 120*q - 41*q + 65*q.\nAnswer: 590*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.05 or 1628?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(72\/(-32)) + (-31602)\/(-27)?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2. Let x(d) be the second derivative of 0*d**3 + 0 + 1\/12*d**4 + 0*d**2 + d. Calculate x(f(u)).\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 7*w**2 - 6*w - 23. Let m(b) = 2*b**2 - 7. Let r(x) = g(x) - 4*m(x). Let h(j) = 2*j**2 + 7*j - 6. Give 3*h(t) + 4*r(t).\nAnswer: 2*t**2 - 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 189\/(-180) + 15\/12. Which is the third smallest value? (a) 6 (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/238*-20*(-9)\/135?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 38*z**2 - 37*z + 135. Let n(f) = 2*f**3 + 76*f**2 + 75*f - 272. Let o(h) = -4*n(h) - 9*p(h). What are the prime factors of o(-36)?\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95276 = 89*r - 87*r. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.6 - 1.8. What is m rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 155, 163, 173, 185, 199, 215?\n\"Answer: v**2 + 5*v + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 7. Let m be n + (-2 - 1) - -1. Differentiate 3*y**2 + 3*y**2 - m + 7 wrt y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 103047 and 735.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 10158722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24*y + 53*y + 17*y)*(-1 + 2 - 2) - 2*y + 6*y - 3*y to the form s + w*y and give w.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2.2*22\nAnswer: -48.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*i)*(2*i - 2*i**2 - 2*i)*(-3*i - 4 + 4 + (4 - 3 - 2)*(-2*i + 1 - 1)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 7. Let h(j) = j**3 - 6*j**2 + 2*j - 8. Let t be h(r). Suppose 4*x - 78 - 238 = 2*p, 5*x - 382 = -t*p. What are the prime factors of x?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 r when three letters picked without replacement from krrkrkkkkrkkkr?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 9:35 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1977.051 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.75? (a) -2\/13 (b) 1\/8 (c) 3 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22.51 - -20.4. Round w to 1 dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -10 + 168\/18 - ((-74146)\/6 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*q**(-2\/5)\/q*q)**(-3\/52)*(q*q\/(q\/(q\/q**4))*q)\/((q\/q**3)\/q) assuming q is positive.\nAnswer: q**(37\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1.4, 1\/4, -1\/3, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 3)*(0*s - 7 - s + 1)*(-164 - 59 + 25) to q + y*s and give y.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 6*x - 6. Let u be (8\/(-5))\/(10\/(-25)). What is the least common multiple of l(u) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + (8856\/168)\/9)*(-14)\/(-38)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -1\/20*n**5 + n + 0 - 2\/3*n**3 + n**2 - 5\/12*n**4. Is v(-4) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3 + k**2 + 11*k**2 - 8 + 4 wrt k.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 7*n = -6. Let c be (22 - 4)\/n + 6\/3. Put 28, c, -4, 0 in decreasing order.\nAnswer: 28, 0, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -338349848 divided by -84587462.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**2. Let o(a) = a + 11*a - 3*a. What is o(n(b))?\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 317500542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1971 and 7373.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4887, 9779, 14673, 19569, 24467?\nAnswer: 29367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*(z\/z**6)\/z*z)\/z**5*(z**(-1\/4)\/z)**(4\/35))**(-2\/55) assuming z is positive.\nAnswer: z**(114\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108872 and 248.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30190.\nAnswer: 2, 5, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4 + 55044*u**3 + 474719640*u**2 + 973614666800*u - 2690991643488000.\nAnswer: 2*(u - 1488)*(u + 9670)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 7. Let k = 5.5 + -6.6. Let x = k + 1.5. What is the biggest value in x, p, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1501459*g**5 + 207536*g wrt g.\nAnswer: 30029180*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -54349, -61431, -68513, -75595?\n\"Answer: -7082*a - 47267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uquq when four letters picked without replacement from uqjjqjuj.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8159.\nAnswer: 41, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b\/(b\/b**1)))\/b)\/b*b*b*b**(4\/3) assuming b is positive.\nAnswer: b**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 r when two letters picked without replacement from {r: 2, j: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13120760 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 3)*(-i**2 + i**2 - i**2) + 3*i**2 + 5*i**2 - 5*i**2 + (10*i - 7*i + 9*i)*(-2*i + 2 - 2) to the form q*i**2 + u*i + f and give q.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52036?\nAnswer: 2, 13009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g + 24*g + 3*p + 58 = 0, 0 = -5*g + 5*p + 250. Solve -30*t = -g*t - 48 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(-4\/7)*f)\/(f\/f**(4\/11)*f))**(-2\/11))**(7\/2))**(-40) assuming f is positive.\nAnswer: f**(-3720\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23.7 - -40. Let s = j + 118.7. Let g = -136 + s. Does g = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*u**3 - 95887*u + 5*u**2 - 95795*u + 191598*u - 2 to t*u**3 + c*u**2 + m + q*u and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 80\/(-1045) + (-4)\/(-22). Let n = 2.5 + -2.6. Which is the nearest to 0? (a) 3 (b) n (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3649*-3.3\nAnswer: 12041.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7882, -7886, -7892, -7900, -7910?\nAnswer: -7922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 120, 86, -8, -192, -496, -950?\n\"Answer: -5*a**3 + a + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5787959 * 6\nAnswer: -34727754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -32897.982181 plus 0.03?\nAnswer: -32897.952181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3*m - 105 = 0. Let d = 69 - 45. Suppose 0 = -b + d - 6. What is the remainder when m is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.2, 4, 269, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 459972 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand p + p**2 - 2 - p + (2*p + 0*p + p)*(3*p - 2*p + 2*p).\nAnswer: 10*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 11:52 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.25 + -0.24. What is the biggest value in v, -10, 0.5, -5\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97321206?\nAnswer: 2, 3, 79, 205319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -137*i**3*s**3 - 2*i**3 - 6*i*s**3 - 278 wrt s?\nAnswer: -411*i**3*s**2 - 18*i*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29a (base 14) to base 5.\nAnswer: -4103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3522?\nAnswer: 2, 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -w - 4. Suppose -10 - 6 = -w*l. Solve -4*t = -2*m + m - 22, -l = -3*m - 2*t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4075 (base 16) to base 14.\nAnswer: -6029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + t - 30 = 0. What is the third derivative of i - i - 17*i**2 + 62*i**t - 93*i**6 wrt i?\nAnswer: -3720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*v**2 - 3*v**3 - 4*v**3 + 17*v**3 + v**2 wrt v.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 16 = 3*r. Suppose 4 = 4*p - r. Let x(s) = -p*s - 4 + 1 + 5*s. What is x(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**3\/6 - y**2 + 5*y. Let a be b(2). Is 28 a factor of (1 - a)*138\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4402913?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b + 6466*b**2 + 12427*b**2 - b - 4471*b**2 to f + j*b**2 + h*b and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*z + 3*z**3 - 5*z**3 - 9*z)*(30 - 31 - 266*z + 1) as b*z**2 + o*z + d*z**3 + l*z**4 + m and give l.\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (0 + 7 - 4 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-16) - 7\/28)\/(-13)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*f - 873 + 81 = 0. Sort -140, -2, 1, f.\nAnswer: -140, f, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 45201, 180356, 405463, 720522?\n\"Answer: 44976*f**2 + 227*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*m = 0, 0*r + 4*r + 48 = -4*m. Let c = 15 + r. Suppose -4*g - 14 = -c*g. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.719 rounded to one dp?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/12 and -67\/525.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 5 = 0, -y + 4*y - 4*o = -16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -65576742, -131153478, -196730212, -262306944, -327883674?\n\"Answer: p**2 - 65576739*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**2*l**2*q**2 - 4*g**2*q - g*q**2 + 82*g*q - 8458*l**4*q - 3*q**2 with respect to l.\nAnswer: 4*g**2*l*q**2 - 33832*l**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 10340186*z**2. Let k(g) = 8*g**2. Determine w(k(o)).\nAnswer: 661771904*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 b, and 1 c when three letters picked without replacement from zcibf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.087479*18.\nAnswer: 1.574622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2 - 43*m. Let i(g) = 29*g. Calculate y(i(d)).\nAnswer: 2523*d**2 - 1247*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -94*b. Let h be k(-6). Let i = h + -564. Solve -7*d + i*d = -28 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 + 8*h + 6. Let y(k) be the third derivative of k**4\/24 + k**3\/6 - 2*k**2. Determine p(x) - 6*y(x).\nAnswer: 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1774, -3543, -5312, -7081, -8850, -10619?\nAnswer: -12388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48702365 divided by 9740473?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v + 2*v**2 + 2*v - 4*v - v.\nAnswer: 2*v**2 - 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (4 - (0 + -18 - -21))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwrcwdijd. What is prob of sequence ij?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*u - 71, -3*l + 120 = 5*u - 0*u. Are 28 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15919 + -16206. Which is the second biggest value? (a) 3\/25 (b) -0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 3*q, -q = -4*h + 3*q - 24. Let j(c) = -2*c**2 - 8*c - 8. Let u be j(-3). Sort -5, 1, h, u.\nAnswer: -5, h, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*l - 482420 = -454814 for l.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/15039 and -717 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11642135 (base 7) in base 8?\nAnswer: -4007357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 - 40*v + 18. Give h(20).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.9061 and 5.\nAnswer: 2.0939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13823414*i**4 - 11903624.\nAnswer: -55293656*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 2*o - 2. Let p = -128 - -134. Which is bigger: p or o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + g - 5*g)*(11 - 28*g - 46*g - 10).\nAnswer: 148*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 258 and 1806.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 17989281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/21 (b) -1 (c) -3\/8 (d) 6 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 117 - -150. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 127637 - 127638. Let j(h) = -2*h - 7. Let u be j(-5). Let b(r) = -2*r + 2 - 3*r - u. What is b(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61.13 - 57. Let m = 0.13 - k. What is the third biggest value in m, -1, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27193 + (8 + -10)*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 680516747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**6 - 3*g**5 + 2*g**2 + 46*g?\nAnswer: -120*g**3 - 180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 2:09 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.367 + 14.367. What is the fourth smallest value in o, -7, 7.4, -3?\nAnswer: 7.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 184085, 184202, 184319, 184436, 184553?\nAnswer: 184670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62.7 - -60. Let k = -3 - z. Let r = 64\/93 + -2\/93. Which is the closest to r? (a) k (b) 0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 1 + 1 - -4. Let m(j) be the second derivative of 3*j**5\/20 - j**4\/3 - 2*j**2 - 95*j + 4. Let n(l) = 2*l**3 - 3*l**2 - 3. Give y*m(r) - 4*n(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 3*s + 6111 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 136.034 + -136. What is v rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 6, 0 = -4*l + j + 2*j + 174. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1047 + -1820. List the prime factors of 2 - -2 - (p - -5).\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3912 + 3909. Sort a, -28, -4, 1\/3, -8 in descending order.\nAnswer: 1\/3, a, -4, -8, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 28 = 5. Calculate the remainder when 21 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, 0.01, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 36*s**2. Let y(c) = 2*c - 3. Let u(q) = -3*q + 5. Let b(n) = -3*u(n) - 5*y(n). Determine m(b(j)).\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 5*l**2 - 2*l - 4. Let q be -4*1*(-3)\/3. Let z be r(q). Put -3\/7, z, 2 in decreasing order.\nAnswer: z, 2, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/20 + 102\/(-340). Let k = 0 - -4. Let t = k + -6. Which is the nearest to s? (a) -5\/3 (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*f = 15, -3*f = -w + 1 + 14. Suppose -202608 + 202118 = -98*d. Factor 2\/5*y**4 + 0*y - 2\/5*y**d - 2\/5*y**2 + 2\/5*y**3 + w.\nAnswer: -2*y**2*(y - 1)**2*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41824013 is divided by 464711.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*i**2 - 58*i - 15*i**2 + 26*i**2 to the form h*i**2 + n*i + c and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 96102988 a multiple of 3989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16878293, -67513188, -151904681, -270052772, -421957461?\nAnswer: -607618748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 2636*r + 2331888.\nAnswer: -2*(r - 1924)*(r + 606)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000145146 to 6 decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u - 64932 = -4*s + 11*u, -3*s = -u - 48755. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123, -249, -375?\nAnswer: -501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -49.28 and 0.066.\nAnswer: -49.214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4559 - 4216. Solve w*f = 351*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13281 + -2?\nAnswer: 1327c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -9*n + 10. Calculate the remainder when 18 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -321 (base 4) in base 8?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (0 - 2)) + 86 + -88?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -3. Let x(y) = y - 2. Let d be x(k). Let s(m) be the third derivative of m**5\/60 + 5*m**4\/24 + 2*m**3\/3 - 3*m**2. Give s(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*k + 132 = 94*k. Let z be (-18984)\/k + 12\/33. Calculate the greatest common divisor of z and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1298099, 2596182, 3894271, 5192366, 6490467?\nAnswer: 7788574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 15 = -3*c, 0 = 5*c - 0*c - 4*d + 17. Put c, 6, 4, -5 in descending order.\nAnswer: 6, 4, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/7 (b) 3\/43 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -145159 divided by -139?\nAnswer: 145159\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 4 - -4) + -17.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3980)\/7761 + (-12)\/(-18).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 8*l**3 - 10*l**2 + 2. Let m(s) = 32*s**3 + 2*s**2 + 3*s + 4. Let k be m(-3). Let v = k + 850. Let u(q) = q**3 - q**2. Calculate v*h(t) + 10*u(t).\nAnswer: 2*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 3. Let l be (9\/(-15))\/((-5)\/50). Let w = 13 - l. Let j(r) = -3*r**2 - r - 10. Let t(y) = w*k(y) - 2*j(y). Factor t(f).\nAnswer: -(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**3 - 6*u**2 + 12*u + 24. Let a be b(-5). Suppose -28924 = 185*p - a*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -44*r**3 - 4*r**2 - 18*r - 44. Is y(-3) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 519?\nAnswer: -515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - a**2 + 0*a)*(2 + 4 - 1) + 0*a + 0*a + a**2 + (-22*a + 6*a - 11*a)*(-4 + 4 + 2*a).\nAnswer: -58*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 7*r + 4*s + 84, 3 = -3*s. Suppose -5*a = -2*b - 75, 5*a + 4*b - 89 - r = 0. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + -26. Suppose -g = 3*d, 8 = 3*i - 6*d + 5*d. Factor 28\/5*f**i + 0 - 8\/5*f.\nAnswer: 4*f*(7*f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 464965408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131908.\nAnswer: 2, 7, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466050 is divided by 7211.\nAnswer: 4546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -890, -919, -968, -1037?\nAnswer: -1126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 15019200?\nAnswer: 15019200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -96525 bigger than -96528?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 202?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-18) - (-32)\/18. Suppose 0*x = -x + l. Suppose -x*s - 4*w + 3 = s, 3*s - 24 = 3*w. Solve s*j = -5*f, -f - 12 = -j + 6*j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 - -1.6. Let h = n - 2. Which is the nearest to -1\/3? (a) 0.5 (b) -1\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -691*u - 1026. Let z(w) = 345*w + 511. Let n(q) = -2*j(q) - 5*z(q). Differentiate n(x) wrt x.\nAnswer: -343","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77311103332 - 24.\nAnswer: -77311103356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 676 - 674. Let t(o) = -3*o**3 + 3*o - 1. What is t(x)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16174 + 5291 = -370*t - 33*t + 6151 for t.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5355.764mm in kilometers?\nAnswer: 0.005355764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) -0.2 (b) -1\/4 (c) 2\/7 (d) -32228\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 8:11 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 6*j + 24 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b (base 12) in base 7?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -1, -0.1, -1\/90, 2035.81?\nAnswer: 2035.81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 3) in base 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(2\/19)*t)\/(t*t*t*t**(2\/17)*t*t)*(t\/(t\/((t*t\/t**0)\/t))*t)**(2\/31))**(-46) assuming t is positive.\nAnswer: t**(1425034\/10013)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131197 + 4*u**3 + 261872 + 0*u**2 - 130675 + u**2 - u**2.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4*((sqrt(224) + sqrt(14))*1)\/(sqrt(98)*-1)*-2 + -1.\nAnswer: -40*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 6 - 14 = 0, p = 5*n - 14. Which is the nearest to 1? (a) n (b) -0.3 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2400 is divided by 671.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20302, -20268, -20206, -20104, -19950?\n\"Answer: 2*p**3 + 2*p**2 + 14*p - 20320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 53 = 211. Let x = i - -352. Suppose 5*l - 3*z = -z + x, 0 = l - 4*z - 95. Calculate the remainder when l is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 9*j + 7)*(427*j**2 - 2 + 15 - 2*j - 429*j**2).\nAnswer: 18*j**3 + 18*j**2 - 117*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 5\/3 - 884\/(-204)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, e: 3, m: 5, r: 1, c: 6, v: 1}. Give prob of sequence mtcm.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -121*v**2 + 1543*v - 4903. What is g(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -79d93?\nAnswer: 79d90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157740 = 29*z + 157682 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/8, -3, 9167?\nAnswer: 9167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2301 (base 5) to base 14.\nAnswer: -194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -13. Let o = -3 - k. Suppose 18 = 4*p + o*u, 4*u = -4*p - 0*u + 20. Let m(w) = w - 5. Determine m(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qaa when three letters picked without replacement from aqeqqqeqeeeaaeee.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -225916224 divided by 3\nAnswer: -75305408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b**3 + 4*b**2 - 4*b + 1627. Let m(q) = 6*q**3 + 5*q**2 - 5*q + 1627. Give -4*m(j) + 5*u(j).\nAnswer: j**3 + 1627","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001198 to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -10, 6996738 in ascending order.\nAnswer: -10, 0, 6996738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - 10198*g - 16 - 32.\nAnswer: -10198*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2010153 plus 5?\nAnswer: -2010148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8233092 by 222516.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3424262150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1072231229 divided by -14779?\nAnswer: -72551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 922, 1708, 2236, 2380, 2014, 1012, -752?\nAnswer: -3404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001494234 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*y - 64, -5*y = 4*p - 9 - 40. Let u be (((-76778)\/(-12))\/y)\/1. Let b = u + -490. What is the common denominator of 47\/3 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5*(-4 - -7))\/((-4)\/4). Let r(m) = -m**2 + 14*m + 45. What are the prime factors of r(y)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 51*v**2 - 32*v - 1093. Determine l(-51).\nAnswer: 539","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -47803 (base 9) in base 3?\nAnswer: -1121220010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6*y + 107. What is q(-20)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2945\/858 + -145\/52. What is the common denominator of t and -197\/330?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59866507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2) + -1 - (sqrt(4)\/sqrt(2) - sqrt(2))*6)**2.\nAnswer: 2*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21543424 - -12?\nAnswer: 21543436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 72651192 to the power of 1\/2, to the nearest integer?\nAnswer: 8524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 478 - 385. Find the second derivative of 176*y**2 - 159*y - 92*y - w*y**2 + 117*y**2 wrt y.\nAnswer: 400","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21.9 - 22.9. Which is the closest to 4? (a) v (b) -2 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.811076ml in litres?\nAnswer: 0.003811076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 9:38 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 8:47 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 1\/7*y**7 + 0*y**5 + 0*y**3 + 0*y**6 + 4*y + 0*y**2 + 0 - 5\/12*y**4. Find the third derivative of r(x) wrt x.\nAnswer: 360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5534361 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 210, 32, -34.\nAnswer: -34, 4, 32, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -32a97 - 20a?\nAnswer: -331a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - 1. Let q(i) = 5*i - 2. Let w(r) = 3*q(r) - 6*y(r). Let v(z) = -2*z**2. Give v(w(f)).\nAnswer: -882*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 21. Suppose 3*t + 2*m - 3*m = 10, -w*t - m + 8 = 0. Solve z - u + t = 0, 0 = -4*z - 5*u + 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/3 + 11\/(330\/52). Let m = -12.2 + 12.253. Let y = m - -1.947. Which is the fourth biggest value? (a) o (b) y (c) -1.4 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1*(sqrt(2)*-1)**2 - sqrt(2)) - (sqrt(176)\/(sqrt(44)\/sqrt(4)))\/sqrt(8).\nAnswer: -2*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/6*(4 - 2). Suppose 0 = 5*v - 8*v + 3, -3*i + 148 = -2*v. Put 0, -3, i, m in descending order.\nAnswer: i, m, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - 2*v + 23 - 18 to z + r*v and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10265\/6 < 1710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9116 is divided by 253?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3 + -5 + ((sqrt(252) - -5*(1 + sqrt(252))) + (sqrt(252) - (sqrt(252) + sqrt(252)*-1 + sqrt(252))*5 - sqrt(252)) + -5 + 4 + -1*sqrt(252))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1553 - -1554. Which is greater: x or -20\/59?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, -1\/4, -0.79, -22\/9, -2\/15, -0.4, 1.1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -9\/4, 2, 3, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39761861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5 - 2 + 66 + 4*k + 3*k**2. Is a(9) a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 11216*b**2 - 134595*b + 30. Determine p(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/2 + (-492)\/42. Let q = 1 + -6. Let m = q - 3. Sort m, -2, x.\nAnswer: m, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1558465 and 1325?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + x**2 + 3*x - 2. Let d be o(2). Suppose -3*v + 1965 + 2574 = d. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 10*f. Let x(j) = -2*j**2 - 11*j - 11. Let v(n) = -n**2 - 6*n - 6. Let u(k) = -11*v(k) + 6*x(k). Calculate u(r(w)).\nAnswer: -100*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vb when two letters picked without replacement from vbg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**2\/9 - 520412*h\/9 + 520414\/9 = 0.\nAnswer: -260207, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 1872225 = -8*b. Suppose -2*x = 2*j - 0*x + 208010, -2*j = 5*x + b. Round j to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*20\/10*-1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5715 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113 a factor of 107314281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 235\/(-6)*(-48)\/(-320)*(-80)\/10?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -23986 = 1972*m + 29258 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one fifths of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 9 + -5 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-27669)\/(-45) - ((-438)\/(-90) - 5). Let j = b + 176. List the prime factors of j.\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m - 1. Suppose 3*k = -2*k - 4*o + 7, 4*o = -4*k + 4. Let l be p(k). Let t be (5 - (9 + (-12)\/(-4))) + 6. Sort l, 2, t in descending order.\nAnswer: 2, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4551791 divided by 59.\nAnswer: 77149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 - -41024?\nAnswer: 41102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*g*i**3 - 121413*g*i - 4907*g - 2*i**2 - 1688 with respect to i.\nAnswer: -9*g*i**2 - 121413*g - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 1)\/(16 - 15)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.015 in -0.4, 0.4, -0.2, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97, 2, 1760 in increasing order.\nAnswer: 2, 97, 1760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 23*t + 54. What is r(22)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2886b (base 12) in base 9?\nAnswer: -85482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/9*(7 - -2). Suppose 0 = 14*p - 12*p - l. Round p to zero decimal places.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, j: 4, a: 7, h: 2, s: 2}. What is prob of sequence hlh?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -490911778 and 4905.\nAnswer: -490906873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 5:57 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4.0423+-0.1\nAnswer: 3.9423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 940 = -0*d - d, -3*d = 2*l - 480. Suppose 9*k = 15*k - l. Suppose -5*w + 66 = -k. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 6:00 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1.45 (b) -10 (c) 1\/2 (d) -11.3 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1234 - 35?\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 7\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 5*g - 8 = 0, 2*q + 3*q - 6*q - 2*q - 21*g - 57 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/9? (a) -1\/11 (b) 2 (c) 1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (1 - -7) - 9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t + 3. Let p(c) = c + 1. Calculate 5*p(s) + q(s).\nAnswer: s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -208 + 81747?\nAnswer: 81538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/7*(-3)\/(-21)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 930 - 40. Find the second derivative of 3 - p*n**5 - 3 + 42*n + 828*n**5 wrt n.\nAnswer: -1240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**4\/12 + 5*g**3\/2 + 10*g**2 - 19*g. Let q be o(16). Let r(t) = 3*t**3 - 4*t + 4 - 5*t**2 + 10*t**2 - q*t**3. Give r(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 2*c = 31, -6 = -4*c + 6 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 10*k = -36, -4*o - k + 1002 = 998 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.061218l in millilitres?\nAnswer: 6061.218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*x - 110 = -88*x. Let q(o) = 2*o + 69. Let n be q(x). Solve 5*z - 4*d - n = 0, 3*d + 8 = 2*z - 2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*m + z - 0, 4*z = -2*m - 6. Let s(i) = -2*i + m*i - 10*i. Let d(w) be the first derivative of 2*w**3\/3 + 122. Calculate s(d(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-5)\/5) + 33\/30?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 4. Let y be b(-4). Let p = 12604\/5 + -2511. Factor -p*g**5 + 8\/5*g**2 + y*g + 52\/5*g**3 + 0 + 14*g**4.\nAnswer: -g**2*(g - 2)*(7*g + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56298 - -56482. Suppose -232 = -2*u + c, -u + 238 = u - 4*c. What is the greatest common divisor of u and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 3*b**2 + b + 4. Let v be q(2). Find the third derivative of 29*g**v + 50*g + 3*g**3 - 50*g wrt g.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 960747.\nAnswer: 3, 293, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -636.65 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -482, -2 in increasing order.\nAnswer: -482, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/6664626 and -137\/6664626.\nAnswer: 6664626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z*z*z*z**(4\/3)*z*z*z*z)\/z)\/z**(-8))\/(z\/z**1*z)**46 assuming z is positive.\nAnswer: z**(-89\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 17*j - 5. Let r be v(5). Let g = 57 - r. Solve l - g*t = -1 - 2, -t = -3*l + 11 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 7*v**2 + 2*v - 2. What is the smallest common multiple of 20 and a(-2)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 8*z - 12. Suppose -7 = 4*w - 47. Let i be p(w). Suppose 0 = -3*u + 15 + 36. What is the greatest common factor of u and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -60319600 to the nearest one hundred thousand.\nAnswer: -60300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -87 - 0. Suppose 3*c - 2*k - 3*k - 7 = 0, -y = -5*c + 4*k. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 529101 to the nearest integer?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -15*c**4\/4 + 11*c + 12. Differentiate g(x) wrt x.\nAnswer: -45*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -0.113683?\nAnswer: 4.113683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3084*v**3 - 8118*v**3 - 6386*v**3.\nAnswer: -17588*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, s: 7, w: 2}. What is prob of picking 2 w and 1 d?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238223006.\nAnswer: 2, 7, 17, 23, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c - 4*c - 1061*c**3 + 1062*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/25 and 13\/160.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 48844926 times 12\nAnswer: 586139112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 0.4. Let h = -1.1 - -1. Let b = h - 0. What is the closest to b in -2, a, -5\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/2, 0.36222, -5, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w\/(w\/w**1*w))**(-33)*(w*w**(-2\/5)*w*w*w)\/(((w\/(w*w\/(w**4\/w)*w))\/w)\/w) assuming w is positive.\nAnswer: w**(-307\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -34*d - 202. Let c(t) = 26*t + 199. Calculate -6*c(p) - 5*k(p).\nAnswer: 14*p - 184","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y - 1. Suppose -2*n = -0*n - 6. Let q(x) = 2 - 119*x + n - 4 + 117*x. Let v(t) = 4*k(t) + 5*q(t). What is v(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 1. Let c(k) = -3. Suppose b + 1 = -0*b. Calculate b*c(s) - 2*x(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -327210, -654003, -980796, -1307589, -1634382?\nAnswer: -1961175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4607639 to the nearest integer?\nAnswer: 2147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 179\/4 + -45. Which is the second smallest value? (a) 2\/5 (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*t**2 - 16*t**2 + 3*t**2 - 14*t**2 to the form g*t**2 + q*t + l and give g.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 122929 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**4 - 2*s**4 - 3*s**4 - 1 - 2*s**4 + 1 + (0 - 2*s + 0)*(-2*s**2 + 2*s**2 - 2*s**3))*(-s + 4 - 4).\nAnswer: 2*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2918722?\nAnswer: 2, 139, 10499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -438.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -45830?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 5*l = 75. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*c = 161301 - 167720 for c.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -734084251 plus 6544?\nAnswer: -734077707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 444765739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 j, and 1 o when three letters picked without replacement from oooojooobojjjiob?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 1 - 1)*(-2 + 3 + 0) - 55 - 30 - 64)*(0 - 3*u + 0) - 2*u - u + 2*u as a + r*u and give r.\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3035*c = 3010*c + 350. Solve 5 = -c*s - 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-154)\/7 - (3 - 1). Let n be (3\/9)\/((-4)\/v). Solve 0*m - 2*m + k - 4 = 0, 0 = n*m - 3*k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, -55, -286, -681, -1282, -2131, -3270, -4741?\nAnswer: -6586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((2*sqrt(130) - sqrt(130) - sqrt(130))*5)\/(sqrt(10) + 3*sqrt(360)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/4 (b) -43.6 (c) 1 (d) -2\/9 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from nnxncxnnxxxxxxxxxnnx.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2*g**3 - 3*g + 22*g**4 - 17*g**4 - 11*g**4 to the form y + h*g**4 + k*g + f*g**2 + u*g**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mss when three letters picked without replacement from uumssssm.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/65)\/((-1)\/13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 285819890888 and 0.00858.\nAnswer: 285819890888.00858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -585 and -4938.09?\nAnswer: 4353.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*a - 36 = 0. Round a to zero dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 8325566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*g**2 - 166*g**2 + 107*g**2.\nAnswer: -218*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96 - 99. Suppose -4 = -x - 3. What is the nearest to x in 1, -1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 + 6484096 - 6484096.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbbbb. What is prob of sequence bbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032982945 rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(11) - ((sqrt(1331) - -1*sqrt(1331) - sqrt(1331)) + sqrt(11))) + -2 + -2*sqrt(11) - ((sqrt(99) + -2*sqrt(99))*-2)\/(-2*sqrt(9)*-6).\nAnswer: -79*sqrt(11)\/6 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 23 = -5*c, -14*c = -16*c + 2*b + 12 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 4*p = 0. Suppose p = 6*d + 37 - 43. Let f be (3760\/d)\/(10\/(-75000)). What is f rounded to the nearest one million?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 8 + 24 = 0. Let m be (6 - l)*(-10)\/(-4). Let k(w) = w**3 + 5*w**2 - 3*w - 4. What is the tens digit of k(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i - 3 - 4*i + 20 + 4*i. Let d(t) = -t**3 - 4*t**2 - 2*t + 1. Let g be d(-4). Let r be l(g). Calculate the highest common factor of 16 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -5, -3, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -954*u**2 - 135741*u - 267666 = 0. What is u?\nAnswer: -44611\/318, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + k + 693 + 688 = 1358, 0 = -3*u + 3*k + 33 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -164*x + 13 - x**2 + 166*x - 6. Determine z(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 22*j + 1 - 12 - 7*j - 13*j. What is x(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of 4*k + 0*k**3 - 1\/6*k**6 - 5\/12*k**4 + 0 + 0*k**2 + 0*k**5. Find the third derivative of i(n) wrt n.\nAnswer: -120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 473, 474, 475, 476?\n\"Answer: r + 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176 = -33*u - 15*u + 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 256437073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -13*t - 4. Let w(p) = -3*p - 1. Let c(r) = g(r) - 4*w(r). Let z(y) = -7*y**2. Determine z(c(b)).\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-8))**19 assuming y is positive.\nAnswer: y**(-133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002997847 to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 3*q**3\/2 + 41*q**2\/2 - 24*q. What is the derivative of o(f) wrt f?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5262 = 1277*u - 55065 for u.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -173, 1247 in decreasing order.\nAnswer: 1247, -4, -173","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jfl when three letters picked without replacement from {j: 1, r: 1, q: 1, f: 4, l: 3, m: 6}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - 2 - (3 + 231\/(-22)). Let r(h) be the second derivative of -h + 0 - a*h**2 - 1\/6*h**3. What is r(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -4, -5, -0.19 in decreasing order.\nAnswer: -0.1, -0.19, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 p, and 1 z when three letters picked without replacement from ppyzppyzzpzp.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -213 + 217. Which is the third biggest value? (a) -2\/11 (b) 10 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*732.7\nAnswer: -146.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, v: 5, c: 1}. What is prob of picking 1 v and 1 m?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d - 97 = -937. Calculate the lowest common multiple of d and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -86 - -88. Let a(f) = f - 28*f**i + 32*f**2 - f. Let k(o) be the second derivative of -o**3\/6 - 4*o. What is a(k(c))?\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z. Let s(a) = -3*a**2 - 2. Calculate 2*f(t) - s(t).\nAnswer: 3*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wyw when three letters picked without replacement from yqyydwqwdy?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 8*g - u + 73616 = 0, 0 = -5*g + u + 122704. What are the prime factors of g?\nAnswer: 2, 3, 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 127 + -76. Let q = 61 - n. Let d = q + -9.99924. What is d rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7008775059 to the nearest integer?\nAnswer: 83718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 - 8 - 12)*(1 + 2 - 1)*(-3*z**2 - z**2 + 3*z**2) to the form y*z + t + b*z**2 and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w**2. Let s be (-2 + 1)\/(-7 - -6). Let k(d) = 3 - s - d**2 - 2. Determine k(t(p)).\nAnswer: -25*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*2*6)\/(-1*sqrt(196)).\nAnswer: -12*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -529 - -531 - ((0 - (-3 - 1)) + 4) - -115?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*w + 815 = -t, 0 = -w + 2*t + 275. List the prime factors of w.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 306 = -d + 552, -138 = -3*m - 3*d. Solve -5*v - m + 20 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 2*b**2 - 136634*b + 136634*b + b**2 + 5.\nAnswer: 2*b**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 88260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**2 - o - 2. Let u(j) = -2 + j**3 + 5*j - 2 + 5 - 3 + 6*j**2. Let x be u(-5). List the prime factors of p(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 3*s = 15 - 79, 5*k = -3*s + 76 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 - (10\/20)\/((-15)\/234). What is the closest to 1 in 2\/9, c, -3\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*r = -0*l + 6, -r + 2 = -l. Let i(a) = a**3 + a**2 - a - 4. Let y be i(l). What is the remainder when 7 is divided by y\/(-5) + 22\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 40, 22, 16, 4.\nAnswer: 3, 4, 16, 22, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*u - 7*u. Suppose 3*z = -4*x + u, -2*z - 4*x + 10 = 3*z. Let i(d) = -6*d**2 + 3*d**2 + d**z. Let j(l) = 9*l**2. Give j(i(c)).\nAnswer: 36*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**5 + n**5 - 6*n**5 + (0 + 0 - 2*n)*(-3*n**3 - n**4 + 3*n**3 + (-n + 6*n - 3*n)*(-2*n**3 + 4*n - 4*n) + 0*n**4 + 4*n**4 - 5*n**4).\nAnswer: 11*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3001*j - 5975*j + 29*j**3 + 2974*j.\nAnswer: 29*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*g = 5*g. Suppose -5*i = 3*r - 13, -4*i + g*r = r - 9. Let m(w) = 3*w - 3. What is m(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -31*g**2 - 1610*g + 94. Determine f(-52).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 858673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7418952 is divided by 115.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - u**2 - u + 12. Let c be i(0). Is 17 a factor of (561\/(-12))\/((-3)\/c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-114) - -15*(-20882)\/(-422940)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**5\/60 + 7*h**4\/24 + 7*h**3\/6 - h**2. Let r = -4 - 1. Determine x(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 187, -3, 0, -106, 5 in ascending order.\nAnswer: -106, -3, 0, 5, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 391038958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/84 and -2 + 672\/315 - 105\/(-18).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*16\/(-40)*1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 - 515*k + 21 + 515*k + 22.\nAnswer: 2*k**2 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 5*m - 8*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -1254412 in decreasing order.\nAnswer: 1, 0, -1254412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2728049.\nAnswer: 43, 63443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 12 - (-2 - (-1 - 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 - -47. Let o be w*0\/(-2) + (-2 - -2). Let g(k) = -k**3 + o*k**3 + 141*k**2 - 2*k - 146*k**2 - 1. Give g(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11012 (b) -0.0226 (c) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2660.42 to the nearest 10.\nAnswer: -2660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.630582 tonnes in micrograms?\nAnswer: 9630582000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13303 = -19*j + 8015. Calculate the highest common factor of j and 816.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(2736) + 0) + 2.\nAnswer: 2 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*b + 26 = -251 - 23 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8320 and 1840.\nAnswer: 191360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, v: 1, j: 3, k: 5}. What is prob of picking 2 j and 2 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-668)\/(-6) - (-2)\/(-6). Is (c\/(-9))\/((-2)\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 234, -0.01, 2, 121\/12, -1, -2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1070127.\nAnswer: 3, 118903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 168228398 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**2 + 78456*n - 512945328 = 0.\nAnswer: 13076","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 k when two letters picked without replacement from {k: 3, x: 13}?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) - 2*sqrt(36))\/((sqrt(60)\/sqrt(5))\/sqrt(4)) + 1.\nAnswer: -3*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**2\/2 + 2. Suppose 5*p - 1522 = -3*a, a + 5*p - 527 = -33. Let b = -517 + a. Let m(z) = 2*z - 1. Calculate b*x(r) + 2*m(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 0.7. What is the closest to 1\/4 in g, -4, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2296 - -132.4704. Let y = 133.0004 - d. What is y rounded to two dps?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 351 + -353.08. Let t = -2.18 - g. What is t rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43779 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.349028 to 2 decimal places.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 14 = -2*b, 3*b - 4*f + 19 + 2 = 0 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**5\/20 - 2*z**4\/3 - z**3\/3 + 5*z**2 + 24*z. What is w(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-19)\/(-4) - (-2)\/8. Let d = -0.32 + 0.3. Let o = -3.02 - d. Which is the third biggest value? (a) -4 (b) o (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-110))\/(97\/(-2134)).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 + 84*w**3 + 4*w**4 - 2*w**4 + 51*w**3 - w**4 - 16*w**3 + 1 as a*w**2 + n*w**4 + o*w**3 + y + m*w and give o.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3985 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 - -435143221?\nAnswer: 435143241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 4*h**2 - 4*h + 5. Let k be j(-5). Let l = 69 + -73. Suppose -2*p = -3*p - 2. Which is the nearest to k? (a) p (b) 3\/7 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 + 39*i**2 + 1 - 21*i**2 + 3*i + 2*i**3 - 19*i**2 as b*i**2 + o*i + t*i**3 + m and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 16) to base 4\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.687 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3806 = -923. Let g = -19076335\/12 - -1590664. Let m = f - g. Find the common denominator of m and 77\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -2, 11154, 38 in decreasing order.\nAnswer: 11154, 38, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 + 1602*f.\nAnswer: -3*f*(f - 534)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/1687 and 2\/723?\nAnswer: 5061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 64, 168, 192, 136?\n\"Answer: -40*s**2 + 224*s - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2053076, -8212308, -18477688, -32849210, -51326868, -73910656, -100600568?\nAnswer: -131396598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwv when three letters picked without replacement from yyyywvvyqyqyy?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from ybbybbb?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -16*v. Let k(r) = -4182*r. Calculate s(k(m)).\nAnswer: 66912*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/5 + 670059*w\/5 - 2010168\/5.\nAnswer: -(w - 670056)*(w - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 c when four letters picked without replacement from yxyxyxygyxxxxyxygcx?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*a = 15, 3*a + 0*a = 4*j - 20. Suppose -6 = j*y - 26. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -507468.752 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 0.5 (b) 1\/11 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 + 1)*(-9)\/9. Suppose 5*g = a - 5, a + 5*g - 1 = m. What is the third derivative of 5*l**2 - 69 + 6*l**a + 16*l**5 + 69 wrt l?\nAnswer: 1320*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 122*l + 3516632*l**2 - 763*l**3 + 3 - 3516632*l**2 wrt l?\nAnswer: -4578*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -938701, -1877395, -2816089?\n\"Answer: -938694*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 167*z**2 + 6011*z + 90. What is g(-36)?\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 19703716.\nAnswer: -9851858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = v - 0 + 9, 2*s - v - 7 = 0. Which is the closest to -0.2? (a) s (b) 2 (c) -0.4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - 39. Let v = 11 + g. Solve 4*y - v*y = 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/((r*r**(1\/2)\/r)\/r)*r))\/(r**(-30)\/r)*(r\/((r**27\/r)\/r))\/r*r*r**(-33) assuming r is positive.\nAnswer: r**(-55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c - 4587. Let n(d) = 4*d. Calculate t(n(w)).\nAnswer: 12*w - 4587","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3 - 1) + -1)*4\/(-10). Suppose -41 - 271 = -2*k - n, d*n + 780 = 5*k. Calculate the highest common divisor of k and 546.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 290, 1\/5, 2, 14, 545?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rpp when three letters picked without replacement from {r: 3, p: 9}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(2 + 12\/(-4)). Let x be 0 + ((-5)\/k - -2). Does x = -56\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6896\/113784 + -1 + 1 + 168\/495?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13989038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 111782 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i + 40*i = -105 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30592579.\nAnswer: 30592579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 8*w**2 + w. Calculate x(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/36 and 1 - 1 - 16\/((-2112)\/(-1309)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 25?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 24*s**2 - 3785*s + 90881. What is v(24)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 99 in 10\/7, 2.4, 1\/2, 1, 2\/105?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1700832?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5 + 7. Solve 0 = 5*a - 5, -d*y - 4*a + 1 = y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.93 - 9. Round n to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1460, 1482, 1508, 1538, 1572?\nAnswer: 1610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -205 - -123. Suppose -24 - 5 = 73*v + 44. Which is the nearest to v? (a) -2 (b) -0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 7691*q**3\/4 + 1699713*q**2\/4 + 1257589*q + 327 = 0.\nAnswer: -218, -3, -2\/7691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 103 (base 4) to base 2\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3262723554.\nAnswer: 2, 3, 543787259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/4)\/o**(-1)*(o\/o**6*o)**26 assuming o is positive.\nAnswer: o**(-411\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-15) - (-72)\/15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -g - 3*v + 12, -4*g + 2*v + 26 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0, 2, 22\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -c**3\/3 - 6*c**2 - 8. Find the second derivative of s(x) wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (7 - 5 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20001011 + 11?\nAnswer: -20001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398390 is divided by 193?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 212 = 160. What are the prime factors of v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 + 2*d**2 - 8*d**2 - 6*d**3.\nAnswer: -3*d**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -395*f - 2 + 10*f**3 + 5*f**2 + 197*f + 200*f to the form s + o*f**2 + w*f**3 + a*f and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26377632 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + 10. Let n be i(-5). Suppose 0*w = -4*q + 3*w + 13612, 0 = 4*q - n*w - 13620. Round q to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36994*x - 89 + 36984*x + 36985*x - 110986*x.\nAnswer: -23*x - 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + (0 - -3))\/(-1 - -3). Suppose j = 2*v - v - 5. Which is the closest to 0.1? (a) 1 (b) v (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 43*b - 23. What is d(7)?\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - (-8)\/(-6))*-3. Which is the third smallest value? (a) 2\/7 (b) z (c) -0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/((252\/(-1107))\/14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 152, 1270, 4380, 10502, 20656, 35862?\nAnswer: 57140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 0, 57, 5, 677 in ascending order.\nAnswer: -4, 0, 1, 5, 57, 677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 594 - 616. Is 7 + (-325332)\/(-99) - (-4)\/f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 6*x**2 - 7. Determine k(7).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -159\/13 in -4, -3, 0.09, 2, 0.66?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 28*t + 64. Is r(7) a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1016 - 993. What is the remainder when u is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8b0 - 5?\nAnswer: -8b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -514 - -887. Let c = v - 748. Let k = -212 - c. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i - 7620 = -7659. Let q(n) be the third derivative of 0*n + 1\/12*n**5 + 0 + 5\/6*n**i - 3*n**2 - 5\/12*n**4. Factor q(l).\nAnswer: 5*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o. Let a(f) be the first derivative of -3*f**2 - 8. Suppose -4 = -9*r + 5*r. What is r*a(k) + 3*i(k)?\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 8*j + 13. Let n be c(-7). Let l(g) = 5*g**3 - 6*g. Let f(b) = -b**3 + b. Suppose -4 = 2*d - 6*d. Calculate d*l(v) + n*f(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 142.24 and -10.\nAnswer: 132.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24\/(-10) + 0)\/((-47)\/235). Let c be (12\/k - (2 - -1)) + 6. Let j = 6 + -2. Calculate the greatest common factor of j and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2515.93 to the nearest 10.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 4*c - 8, 4*k + 105*c = 107*c - 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/3)\/(-11)*8\/24*-4.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -312, -308, -304, -300, -296, -292?\n\"Answer: 4*h - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/50)\/(204\/(-1360))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2076 is divided by 876.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 595 - 49*c - 595 to the form x + k*c and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162998.\nAnswer: 2, 11, 31, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20c8d8b - 0?\nAnswer: 20c8d8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -11, 8, 24, 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3\/7 + 78975*r**2\/7 + 519635736*r\/7 - 1559618064\/7.\nAnswer: 3*(r - 3)*(r + 13164)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -23*f. Let r(j) = 369*j. Let p(k) = -33*g(k) - 2*r(k). Let q(i) = 33*i. Give q(p(a)).\nAnswer: 693*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.544 times -0.3?\nAnswer: -27.1632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.041 take away 2501.1?\nAnswer: -2503.141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vfc when three letters picked without replacement from {y: 1, f: 2, k: 1, t: 4, c: 3, v: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -233 (base 4) to base 7\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(234\/24))\/(-2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -340467 + 483335. Let o = z + -26573333\/186. Let x = 3\/62 + o. Which is the third biggest value? (a) -0.4 (b) 1\/2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -10, 62, -4 in descending order.\nAnswer: 62, -4, -10, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 860.7 - 861. What is the fourth biggest value in -64, w, 4\/9, -0.4?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, l: 9}. Give prob of sequence lljl.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0*g = 2*d - 19, 5*g - 25 = 4*d. Suppose -2*y - 2 = -4*u + 5*u, -5*y = -u - g. Suppose -5 = -3*z + y. Solve -z*h + 3*h = -5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1234.\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*l + 5661, 4*l + 3*j - 6381 = -726. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13111658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9.1 and -7675289?\nAnswer: 7675298.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mu when two letters picked without replacement from {p: 1, u: 1, m: 1, y: 2, a: 1, e: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t + 5. Let k be v(-5). Let f be (5 - 1) + 1 + k\/(-5). Solve f*z = -2*z + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22001 + -10022?\nAnswer: 11202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 135926465 a multiple of 1220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -5. Suppose 0*b - f*b = -48. Suppose -3*c = -7*c + b. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16052 - 8554. Suppose -14*k + m = 9*k. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*h - 200, 84 = 5*n - 4*h - 166. Let x = n + -50. Let -53*m + 55*m - m**4 + 3*m**2 + x*m**4 = 0. Calculate m.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9517264.\nAnswer: 2, 594829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -168399161*j**2 - 22746*j - 1572 wrt j.\nAnswer: -336798322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*3\/(-80)*(-60)\/72.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3423*p**2 - 3414*p**2 + 10220*p**2 - 3413*p**2.\nAnswer: -30*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -452 + 476. Factor -9*x**2 - 3*x**2 - 240098*x**4 + h*x - 6*x**3 + 240101*x**4.\nAnswer: 3*x*(x - 2)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18, 48, 78, 108, 138, 168?\n\"Answer: 30*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 4*l = 3*t - 6, 4*l - 3 = 5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 3*q + 5*c, 3*q - c - 13 = -0*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - t**2 + (2 - 4 + 0)*(t**2 - 2 + 2) + 1729*t**2 - 542*t**2 - 754*t**2)*(t + 2*t - 2*t) to the form l*t**2 + a*t + r + w*t**3 and give w.\nAnswer: 430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-6)*20\/15?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/6 + (-1278)\/(-54). Solve -m*y = -23*y + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153720\/158112*5*36\/210?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -111795 divided by -37265?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*n = -178, -336 = -3*m + n + 134. Suppose -4*z + 3*j + 114 = 0, -4*z - 4*j + m = z. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29\/5 or -39863?\nAnswer: -39863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -78.1, 4, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (207 - 210) + -30 + 1 + 7?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/53? (a) 0.2 (b) -170 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -7*p + 25. Let u be q(7). Let r = u + 27. Does 2 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.103450699 to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 269, 232, 197, 164, 133?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 7:43 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-58 - 5*o + 58)*(-2 + 2 + 1)*(7 - 1 + 2) in the form x + f*o and give f.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 j, and 2 o when four letters picked without replacement from {k: 1, o: 1, l: 4, j: 1, p: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)*-5)\/(sqrt(2)*2*2) + sqrt(2)*2 + -2 + sqrt(32) + sqrt(800).\nAnswer: -2 + 89*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-17)*1\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/5 + 105516*d**2 + 337778991*d\/5 + 54163913814\/5.\nAnswer: 3*(d + 321)**2*(d + 175218)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 294, 3, -5, -56, 5.\nAnswer: -56, -5, 3, 4, 5, 294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 136937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1 - -23) + -3)\/1. Let z = -11 + d. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 15*y - 1. Let r be w(6). Let c = 75 + -68. Suppose 0 = q + 2, 0 = -2*h + c*h - 2*q - r. Solve -5*s + 3*u = u + h, -1 = s + 2*u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 13 = -5*m, -27*m - 42*m - 5*b + 27 = -91*m + 59*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fuhhuhuu. What is prob of sequence hu?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13266 by -14.\nAnswer: -6633\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 13. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 758757 - 15?\nAnswer: 758742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 15 + 5. Solve 5*w + 5 = -h + 22, 0 = -w + u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 306.105 - 538.42. Let y = 231.19459 + x. Let d = y - -1.12. What is d rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9791840 divided by 40.\nAnswer: 244796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 9*g - 5. Let a(u) = 8*u - 4. Let c(b) = 5*a(b) - 4*q(b). Let p(l) = -10*l. What is p(c(o))?\nAnswer: -40*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1872)*-1 - (sqrt(325)*-1 + 0 + (2*sqrt(13) - sqrt(13))))**2.\nAnswer: 20800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -730 + 858 = 8*d, -s - d = -16 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -182, -205, -228, -251, -274, -297?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 7*s**2 + 10*s - 13. Let w be t(8). Solve -4 = w*z - 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*g**2 - 68*g + 36 = 0. Calculate g.\nAnswer: -9, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 4:37 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/19? (a) -5 (b) -248620 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -8. Let r = 94 - 93. Solve 0 = j - w - 3 + 2, 0 = -3*j + z*w - r for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 89648838*d**2 - 38806425.\nAnswer: 179297676*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149733773.\nAnswer: 7, 17, 1258267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 115*p - 1271. Calculate q(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1728 and 663336?\nAnswer: 5306688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 124*p - 3. Let d be j(5). Suppose -5*w + d = 87. Is (w\/8)\/(1\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**4\/6 + 519*k. Let s(h) = 32*h**2 + 4. What is s(z(o))?\nAnswer: 128*o**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 3*o - 68 + 63 = 0, 10 = 2*h - 4*o for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 2*i**2 - 3*i - 4. Let a be h(-2). Suppose -4*x + 2*v + 65 - 13 = 0, a*v = 8. Solve 5*z - x = -5*s, 3*s = 4*z - 2*s - 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 10, x: 2, l: 3}. What is prob of picking 3 n?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (12\/11)\/2*(-19756)\/(-7184) and 71\/222.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26400 divided by -32\nAnswer: -825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -47 (b) 0 (c) -0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(sqrt(12) + sqrt(108)*6))**2.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + b = -100, 2*y + 3*y + 3*b - 162 = 0. Suppose -3*z + 4*f + 22 = 0, -2*z + 5*f - 3 = -20. What is the remainder when y is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24374.9 nanograms to micrograms.\nAnswer: 24.3749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 11*o**3 - 5*o - 3. Let l(p) = 4*p**3 - 2*p - 1. Let r = -70 + 67. Calculate r*s(k) + 8*l(k).\nAnswer: -k**3 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 15*f + 1. Let t be 5\/10 - 9\/(-6). What is the units digit of o(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + q = -2, -2*q - 1 = 5*j + 6. Let u be (-234)\/(-24) - j\/4. Let z(r) = -r - u*r**3 + 0*r + 5*r**3 - r**2 + 1. Determine z(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 + 17*w - 22. Let y(k) = 4*k**2 - k**2 + 17*k - k**2 - 21 - k**2. Let d(f) = 2*j(f) - 3*y(f). Let z be d(16). Solve z*h + 20 = -h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + x - 1 + (-1 - 2 + 4)*(6*x - x - 4*x) + x - 2 + 2)*(1725*x - 18 - 863*x - 855*x).\nAnswer: 21*x**2 - 54*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -37, -57, -75?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, -6.5, -1\/37884, -4?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9524168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3325 is divided by 554?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 37 - 4)*(-2 + 2 + d)*(9721*d**2 + 181*d**3 - 9721*d**2) in the form a + b*d**3 + z*d + k*d**2 + j*d**4 and give j.\nAnswer: 5068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.054 (b) -1 (c) -2\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 3703*n + 29646. Determine j(8).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 2*h**2 - 2*h - 2. Let c be -1*9\/45 + (-9)\/5. Let b(g) = 2*g**3 + 3*g**2 + 3*g + 3. What is c*b(v) - 3*n(v)?\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*c - 2*o + 441 - 115, -4*o = 2*c - 44 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 4*k**2 - 3*k. Let u be x(-3). Suppose -c = 4*i - u*i - 6, 4*i = -3*c + 10. Suppose -3*f + c*f + 19 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.26 (c) -100 (d) -460 (e) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 7*a - 8. Let x(k) = -3*k - 3*k + 9 - 2*k. Let g(h) = -6*x(h) - 7*y(h). Determine g(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -36. Let v = t - 13. Suppose 5*k = y + 3*y - 119, v = -k. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/42 and 139\/1200?\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*j + 4 = -11, 2*j = -d + 10. Suppose -35*y - 47*y = 194340. Is (d - -3)\/(-1 + y\/(-2361)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001461912 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-100)\/350)\/(32\/168))\/(3\/58)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 14399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7682409 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: Work out -3 * 0.71.\nAnswer: -2.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 2*y**4 + 3*y**3 + 88*y**2 - 176*y**2 + 86*y**2 to the form n*y**2 + r*y**4 + s + u*y + q*y**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 3. Let g(a) = -a**2 + 1. Let b(s) = 2*s**2 - 4. Let u be (-34)\/(-8) + (-3)\/12. Let w be 418\/(-99) - u\/(-18). Give f*b(l) + w*g(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -16 - (-2 - (0 + -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/7 + 43124*w\/7 + 129390\/7.\nAnswer: -2*(w - 21565)*(w + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 10:22 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -958, -2241, -4378, -7369, -11214, -15913?\nAnswer: -21466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -984*j**2 - 19 + 18 + 13*j - 13*j.\nAnswer: -984*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 5*w**2 + 2. Suppose 8 = 2*u, -5*i + 23 = 4*u - 13. Suppose 5*o + i*r = 42, -26 = -2*o - r + 4*r. Suppose 3*h + 5 + o = 0. What is b(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 109*s - 112*s + 5, -4*n = -s + 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-590)\/40 + 2\/(-8). Let b be ((-35)\/n)\/(1\/3). What is b rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -429, -335, -241?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 19504, 4, -1.\nAnswer: -5, -1, 4, 19504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*j - 60, -7 = -4*j - 19. Let f = 2 - 0. Suppose -i - 2*c + 2 = c, -f*i + 3*c = -n. Calculate the lowest common multiple of i and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 20. Suppose -44 = -n - 3*i, -80 = 2*n - 4*n - r*i. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 509\/15 + -103\/3. Sort -2, 2\/3, 1, j.\nAnswer: -2, j, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13760006*c**4 - 21293015*c wrt c.\nAnswer: 165120072*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 + 7 - 20)*(-10 + 2 + 2)*(81*o - 21*o**3 - 81*o)*(0*o - 5*o + 4*o) in the form u + j*o**2 + i*o**4 + g*o**3 + k*o and give i.\nAnswer: 3402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.24089 kilograms in micrograms?\nAnswer: 28240890000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5*(0 + sqrt(288) + sqrt(288))*-5)**2.\nAnswer: 4800*sqrt(2) + 720016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8\/25 of a kilometer?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141, -251, -373, -507?\nAnswer: -653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 7*i**2 + 1\/24*i**4 + 0*i - 1\/4*i**3 + 0 + 1\/120*i**5. Factor p(k).\nAnswer: (k - 1)*(k + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -20*z**5 + 968*z**4 + 7196*z**3 + 3568*z**2 - 2640*z = 0.\nAnswer: -6, -1, 0, 2\/5, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2\/7*b**4 - 12\/7*b + 4\/7*b**3 + 10\/7*b**2 + 0 = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 718*k**2 + 2 - 45*k**2 - 2*k.\nAnswer: 673*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 21*x**2 - 4*x + 177. Let r(u) = 20*u**2 - 3*u + 178. Let v = 80 + -77. Let g(w) = v*f(w) - 4*r(w). Find the first derivative of g(o) wrt o.\nAnswer: -34*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (0 - -1) + (-21 - -24)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262444713?\nAnswer: 3, 89, 982939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 17*i**2 - 19*i - 14. Let c be p(-18). Suppose -2*b - 3*g = -4*g - 8, 5*g + c = b. Is 0 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 18*s + 57. What is the remainder when h(12) is divided by 111?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (4*(sqrt(3) + -1))**2)*4 - (sqrt(135) + 1*sqrt(135))\/((sqrt(60)*-2)\/sqrt(12)).\nAnswer: -125*sqrt(3) + 260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlqxqllolxxfllqjq. What is prob of picking 1 j and 1 x?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 737.\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3909\/5 - -782. What is the second smallest value in -8\/7, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313529551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/((-23)\/23))\/((6\/(-8))\/(63\/24)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -586, -1183, -1792, -2419, -3070, -3751?\n\"Answer: -x**3 - 590*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 356*b*d**3 + b*d**2 + 73*d**2 wrt d?\nAnswer: 2136*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5544)\/224)\/(23\/(2760\/45)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*56\/980*49.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -231*b**2 + 20313*b + 1320 = 0. What is b?\nAnswer: -5\/77, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a kilogram in grams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - (23 + 17)) + 12.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + a130?\nAnswer: a135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -5, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/261 and 38\/319.\nAnswer: 2871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352865 is divided by 47.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1702*p**2 - 2*p - 12275?\nAnswer: -3404*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 7*n**2 + 7*n - 3. Let d be z(6). Suppose 0 = -4*q + t + 413, 0 = -d*q - q - 4*t + 428. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 2*w - 416, 592 = 4*m - 56*w + 54*w. What is the remainder when 532 is divided by m?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 24903 and -10.098.\nAnswer: 24892.902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + r = 534348, -26*r + 25*r - 712471 = -4*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 113024 - 77658. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9067.093 litres to millilitres.\nAnswer: 9067093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1217, 2376, 3535, 4694, 5853, 7012?\n\"Answer: 1159*g + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/2 and 76\/135.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(2 + 35\/(-10) - 3). Which is smaller: n or 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1055, -71983, -2\/5, 1\/8, -1 in decreasing order.\nAnswer: 1\/8, -2\/5, -1, -1055, -71983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2642 + 1386. Are y and -1256 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-21 + 18 - (-3 - -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -596*v + 2772 = -1066*v + 554*v for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 321, 5, -311, -627, -943, -1259?\n\"Answer: -316*k + 637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80116526, 80116542, 80116558, 80116574, 80116590?\nAnswer: 80116606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -26*y - 1. Let k(n) = -25*n - 471. Calculate -k(c) + p(c).\nAnswer: -c + 470","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 1 - (3 - 1) - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*c = -5338, 4*j - 7*c - 5318 = -12*c. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-12)*j\/j**(-1\/3))\/((j**(-10\/3)*j*j)\/j)**(-5))**(-42) assuming j is positive.\nAnswer: j**896","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 93336?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3184 + -0.0154. Let k = 67.697 + t. What is the third smallest value in 5, 0.4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - -8)\/(4\/13894)*28\/56 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 348415678 to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 8:07 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*k**5 - 215*k**4 - 645*k**3 - 865*k**2 - 530*k - 120 = 0.\nAnswer: -4, -2, -1, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 4:19 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 577058947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.22, -3\/2, 0.5, -6, 4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 129 and 5375?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 3.5. Let w = r - -0.3. Which is the third biggest value? (a) 4 (b) w (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*c + 7*c - 498 - 1896 = 0. Solve 10*p - 13*p = c for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 62.10566 millilitres?\nAnswer: 0.06210566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 1\/3*y**3 + 0*y**2 + 2*y + 4. Differentiate u(k) wrt k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 11:18 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = -4*g - 144. Is 26 a factor of (24 + 0)\/(350\/g - -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k + 5*k**2 - 4*k**2 - k**3 - 4*k**2 - 3*k**2 to the form p*k**2 + m*k**3 + a + u*k and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19681.\nAnswer: 19681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -272c (base 16) to base 5\nAnswer: -310103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -31, -67, -123, -211, -343, -531?\n\"Answer: -2*i**3 + 2*i**2 - 28*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1112423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(7) - 4*(sqrt(7) - sqrt(112)) - sqrt(7))*-6*-6 - (sqrt(1764)*-2)\/(sqrt(567)*-1))*1)**2.\nAnswer: 292121200\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 254239.5 to the nearest 1000.\nAnswer: 254000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2. Let k(o) = -154299*o. What is k(p(b))?\nAnswer: -308598*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 419138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 36 (b) 1\/19 (c) -0.4 (d) -2\/9 (e) 3\/4 (f) -4\/37 (g) 3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 8:47 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 646*l**2 + 95. Let o(u) = 27*u**2 + 4. Calculate 95*o(j) - 4*p(j).\nAnswer: -19*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-912)\/7 - 46\/(-161). Which is smaller: x or -123?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5438944, 5438946, 5438948, 5438950, 5438952?\nAnswer: 5438954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-1446)\/210 - (-2)\/(-7)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2383278*o**2. Let b(t) = t**2. What is p(b(w))?\nAnswer: -2383278*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/2 + (-170)\/51 + 4\/3. Let w(s) = -4*s + 2. Let c(i) = i - 1. Suppose -2*m - m + 5 = -l, -m - 5 = 3*l. Give a*w(n) + l*c(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-28)*2*-14. Suppose h - 22 = -v*p, -3*p - 2*h = 2*h - 23. Suppose p*c + 30 = 4*y - 29, 3*y - 48 = 3*c. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**4*b*b\/(b\/(b*b**(-7)))*b*b*b**(-2\/13)*b*b*b**5 assuming b is positive.\nAnswer: b**(102\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15160, 30306, 45438, 60550, 75636, 90690, 105706, 120678?\n\"Answer: -v**3 - v**2 + 15156*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -8. Let q = u - 0. Solve -2*t = -3*h - 18, 0*h - 4*h - q*t - 10 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 101 - 61. Suppose -n = 2*j + 5 - 13, -5*n + g = 3*j. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 11:20 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/64 and -73\/32.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -15 (b) -29 (c) -1\/34909\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1248291 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 127199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 8 = -s. Suppose -3*b - 128 = -s*p, -b + 3*b = p - 27. Is p 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 -54*q**5 + q**4 - 3*q**2 - 28 wrt q?\nAnswer: -3240*q**2 + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25\/114 + -246\/19. Calculate the common denominator of -6\/7 and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(572)\/(sqrt(11) + sqrt(66)\/sqrt(6) + sqrt(11)))\/(1*sqrt(16)) + (sqrt(624)*1)\/sqrt(3) + (sqrt(325) - (sqrt(325)*-2 - sqrt(325)))**2*-2.\nAnswer: -10400 + 25*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 14 = 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - c + 6. What is the least common multiple of (-78)\/(-4) + (-1)\/(-2) and r(0)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -33?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*p**2 + 1540308*p + 2464544.\nAnswer: -4*(p - 77017)*(5*p + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 845 is divided by 747.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyiuuiyiyuii. Give prob of sequence iyii.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 157*j**7\/210 - j**6\/120 + 3*j**5\/10 - 3*j**4\/8 - 497*j**2. What is the third derivative of w(o) wrt o?\nAnswer: 3768*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u - 2*u + 2*u)*(2*u - 15*u + u)*(2 + 5 - 5)*(3 + 3 - 5) as w + x*u**2 + s*u and give x.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, d: 2}. What is prob of picking 2 d?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 358889 divided by 4?\nAnswer: 358889\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (72 - (-42 - -21)) + -103\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**5 + 0*p**5 - p**5 + (p**2 - 2*p**2 - 2*p**2)*(-2*p**3 - p**3 - 2*p**3) - p**2 + p**2 + p**5 + 21*p**4 - 21*p**4 + 16*p**5 - p**5 + 0*p**5 - p**5.\nAnswer: 27*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 + 2062?\nAnswer: 2054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 + 1 = 3*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/2684511 and 31\/8053533.\nAnswer: 8053533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -4\/5*t**5 + 0*t + 34 + 4\/3*t**3 + 2\/3*t**6 + 12*t**2 - 7*t**4. Determine z, given that r(z) = 0.\nAnswer: -2, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 67298970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**2*j**3 + 7*d**2*j**2 + 5010198*d*j**4 + 137*j**2 + 103*j + 2 wrt j.\nAnswer: 6*d**2 + 120244752*d*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 341710075 and 2450.\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21551870 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3326912 millimeters in micrometers?\nAnswer: 332.6912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24007887 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 12. Suppose 4*a + 217 = 3*t + 2*a, 0 = n*a + 25. Is 23 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o - 35. Calculate u(17).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -64 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 343*v**2 + 10*v + 24. Let d(o) = -113*o**2 - 4*o - 9. Let m(l) = -11*d(l) - 4*p(l). What is m(-1)?\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-6 - 2*(0 - 1)). Let n = -71 + 211\/3. What is the closest to -2 in -16, n, u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 10, f: 1, a: 6}. Give prob of sequence ef.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -1883*h + 2364. List the prime factors of o(-5).\nAnswer: 11779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 - 30\/9) + 15\/45. Solve -d - 1 = -n*a - 2*d, -2*a - 1 = d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -17*q - 33. Let r(u) = -10*u - 16. Let j(l) = 3*d(l) - 5*r(l). What is j(0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -177 + 178. Suppose 15 = 5*l, 5*m - m + 3*l + 55 = 0. Let z = 16 + m. Put -18, -4, p, z in ascending order.\nAnswer: -18, -4, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*j**3 - 9*j**3 - 15*j**3.\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003940658 rounded to 5 decimal places?\nAnswer: -0.00394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, f: 2}. Give prob of sequence rf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 339.96, 0.1, -113, 4\/7, 8 in decreasing order.\nAnswer: 339.96, 8, 4\/7, 0.1, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 9*x - 21. Suppose a - 3*d = -10, 3*a - 322 = d - 320. Let j(g) = 2*g - 4. Let v = 8 + -19. What is a*i(h) + v*j(h)?\nAnswer: -4*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -24*a - 4. Let i(h) = 347*h - 97*h - 91*h - 96*h - 3 - 88*h. Calculate 4*i(t) - 3*v(t).\nAnswer: -28*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/470 and -37\/18.\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -204 (base 5) to base 4.\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-26 - 1)\/(-3) + 0. Let s = j - -2. What is the lowest common multiple of s and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20861412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a centimeter in millimeters?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33862080 and 1410920.\nAnswer: 33862080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-2 - -1 - -7) + -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -31021 (base 5) to base 15\nAnswer: -8e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3775560\/750)\/146 + 34\/(-1)?\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 3:58 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-12) + 1)*(-756)\/693?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -2\/3 (b) 0.1 (c) 1 (d) -1017\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.574 + -22?\nAnswer: -49.574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16548093 is divided by 96.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 160719, 642917, 1446593, 2571753, 4018403, 5786549?\n\"Answer: y**3 + 160733*y**2 - 8*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -51 - 0. What is the remainder when 67 is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7436 divided by -286.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17\/3 + 56\/9. What is the common denominator of p and 65\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*i - i - 2*p, -25 = -5*p. Suppose o + o - 40 = i. Calculate the remainder when o is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (6 + -2) - 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 37 - (-98 - -19).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001383241 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/559026 and -11\/98.\nAnswer: 27392274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 320\/(-144))\/((-1)\/18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/5 - 4587688\/(-340)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xenv when four letters picked without replacement from nesvx?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - u - 1. Let n(c) be the third derivative of -23*c**6\/120 - c**5\/30 - c**4\/12 - c**3\/3 - 3*c**2 + 163*c. Calculate -n(a) + 2*z(a).\nAnswer: 23*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02014361777 rounded to four decimal places?\nAnswer: -0.0201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 545610.225 rounded to the nearest ten thousand?\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0331954143 rounded to three dps?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2498 is divided by 72?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -58.6 in 8, 2\/9, -156?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -7*l**2 + 527*l - 391. List the prime factors of u(72).\nAnswer: 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 780 and 416.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 - (4 - 1))\/(18\/24). Suppose 5*u - 2*i = -6, u - 6 = -2*i - 0*i. Let s(r) = 5*r**2 - 42*r + 13. Let l be s(8). Put l, u, v in ascending order.\nAnswer: l, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**3 - 63*j**2 - 786*j + 174. What is c(41)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (0 + -5) - (4 - 13)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 - 30?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -370b7 + -5?\nAnswer: -370bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 338985 and 8100.\nAnswer: 6779700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17 (b) -4 (c) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o*o**18)\/o)\/(o\/(o\/((((o\/o**1)\/o)\/o)\/o*o*o*o))))**11 assuming o is positive.\nAnswer: o**209","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56756 is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84, 54, 24?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -143 in 1.2, -2\/7, -0.1, -2\/15, -125?\nAnswer: -125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1260 and 2604?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 19. Calculate the greatest common factor of 110 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**3 + p**3 - 4*p**3.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 3625127.96\nAnswer: 1450051.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*d**3 + 4*d**2 - 18732 + 18732 + d**5 + (-4*d + 3*d**2 + 4*d)*(-4*d**3 + 4*d**3 + d**3).\nAnswer: 4*d**5 + 9*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 210760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6092\/15 + -406. Which is the third smallest value? (a) u (b) 3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -37962, -151836, -341618, -607302, -948882?\n\"Answer: q**3 - 37960*q**2 - q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 19. Let y be 2*-1 - (-3 + w). Let i be (-4)\/2 + 1 - -5. Solve x + 3*b + y + 8 = 0, 4*x - i*b + 4 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 2:07 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-347.8.\nAnswer: 104.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**4 + h**4 - h**4 + (6 - 1 - 3)*(5*h**3 - 5*h**3 - 5*h**3)*(-3*h - 2*h + 6*h) to the form t + i*h**2 + u*h**3 + m*h + n*h**4 and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**(-1\/47)\/(f*f\/(f\/(f**3\/f))*f\/(f**(-4)*f)*f) assuming f is positive.\nAnswer: f**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12122 (base 3) in base 7?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txtttxttt. Give prob of picking 1 t and 2 x.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 11:37 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, l: 2, q: 10, a: 4}. What is prob of picking 2 z?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 5*z + 3. Let p be a(-5). Let l(v) = 6*v + 2 + p - 6. What is l(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -4 + (-5 - -15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6157 is divided by 766.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.07 + 0.37. Let k = -0.1 + 0.1. Let n(y) = -y**3 - 2*y**2 + 4*y + 1. Let x be n(-3). What is the third smallest value in i, k, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 42 (b) -1.587 (c) -1\/6 (d) 1\/3 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 197*y**2 - y. Determine x(-1).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (39\/((-2574)\/(-44)))\/((-1)\/9)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(605) - sqrt(605)*-2*1 - (sqrt(160) + sqrt(160) + (sqrt(160)*-2 - sqrt(160)))\/sqrt(2))**2*1*5.\nAnswer: 34223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -159 - -72. Is p\/6*30\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1962*t + 28 = -1958*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(12\/(-5)))\/((-62)\/310*(-35)\/(-476))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/210 and -41\/294?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 54 = -10*s. What is the remainder when 24 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2079 and 24570?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q + 12. Let u(f) = 4*f - 12. Let m(n) = 3*u(n) + 2*v(n). Let a be m(5). What is the smallest value in a, 1, 11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 103 + -99. Suppose 0 = -2*j - 0*j - p*x + 198, 510 = 5*j - 5*x. What are the prime factors of j?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7018.5 - 7018. Put -0.2, n, 6.9 in descending order.\nAnswer: 6.9, n, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3784*c + 4294*c + 1218 - 12406*c + 2526 + 355*c wrt c.\nAnswer: -3973","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*b + 72*b + 1911 = 0. Calculate the remainder when b is divided by 98.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42631427?\nAnswer: 17, 2507731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 53 = -12*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1213 + 1348. Suppose -15 = -3*o, -4*a - 2*o + 14 = -3*a. Calculate the smallest common multiple of a and b.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 3)*(4 - 2). Let m(z) be the first derivative of -z**4\/4 + z**3 + 2*z**2 - 390. What is m(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-18)*(-54)\/(-12). Which is greater: 10\/7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 3:45 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 24*l**2 - 83*l - 44. Let u be k(-20). Let q(m) = -2*m + 31. Give q(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*w + 108*w - 47*w.\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-76)\/12*-6*(-3)\/1116 and -77\/12.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 8*o - 19. What is the remainder when 53 is divided by v(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 52345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/((-189)\/(-36))*-1. Find l, given that h*l**3 - 4\/7 + 1\/7*l**4 - 4\/7*l + 3\/7*l**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 28 (c) -2\/9 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4696, -3, -46, 3, 5 in decreasing order.\nAnswer: 4696, 5, 3, -3, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76661\/12 + 21755\/3. Let c = u + -874. Find the common denominator of c and (16\/(-6))\/(63\/105).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sevenths of a week in minutes?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 2:48 AM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -j - j + 135, 5*p = 2*j + 627. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -4*f - 36, 4*f + 1 = -4*t + 37. Let i be (2 + -5)*(-15)\/(-9). Let x be 0 + 0 + (i - -28). Solve -x = 3*g - t for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*h**4 - 64*h + 57*h + h**4 + (-4 + 4 - h)*(h**3 - 4*h**3 + 4*h**3) - 3*h**4 + 0*h**4 + 2*h**4.\nAnswer: 5*h**4 - 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - z - 4. Let m be r(0). Let y be 55\/10 - 2\/m. Calculate the highest common factor of y and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1176 - -1277.44. Let f = z - 113. Let o = f - -6.69. What is o rounded to 1 decimal place?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 3)*(-6*b + 6*b + 6*b**3 + (b - b + b**2)*(-4*b + 0*b + 5*b)) to the form d + u*b**2 + z*b + c*b**3 and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k - 5. Let v be z(-3). Which is the closest to -2\/3? (a) 1 (b) v (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c7b786 (base 14) in base 5?\nAnswer: -3212120344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 101 in -5, 22, -182.9?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.7 at most as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t - 8. Suppose -s = -5*s + 8. Suppose -u + 12 - s = 0. Calculate the lowest common multiple of u and a(11).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 31*q - 63. Suppose -2*d - 5*i + 66 = 0, i = -2*d - 3*i + 66. Let c be v(d). Factor 4\/3*y**c + 0 - 2\/3*y**4 + 0*y + 0*y**2.\nAnswer: -2*y**3*(y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 - -55.1. What is p rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -4, 51, 4, -2345.\nAnswer: -2345, -4, -2, 2, 4, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w + 21*w**2 + 0*w + 3*w. Let t = 397 - 374. Let p(d) = -2*d**2 + 45*d - 22*d - t*d. What is p(u(f))?\nAnswer: -882*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*n**3 - 4*n**5 - 11*n**3 + (-3*n**4 + n**4 + n**4)*(0*n + 2*n + n) + 2 + n**5 - 2.\nAnswer: -6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14, -35, -56, -77?\n\"Answer: -21*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62.2 - -62.5. Let c = 2 - 2. Put -4\/7, c, i in increasing order.\nAnswer: -4\/7, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002066970985 to 6 dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6855602?\nAnswer: 2, 13, 263677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 45, 54, 67, 84, 105?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + (-1 - -2) - (-44 - -44)) + 4?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rcvcydryvyyccp. What is prob of picking 1 v and 1 c?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -396, -4, -2, 3, 4, 1 in decreasing order.\nAnswer: 4, 3, 1, -2, -4, -396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/4207 or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5*sqrt(50))**2 + -3 + 0.\nAnswer: 1247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, f: 7, c: 3, k: 1, t: 2, n: 4}. What is prob of picking 2 c, 1 k, and 1 t?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (995949 + 1884*y - 995949)*((-1 - 1 + 4)*(-1 + 0 + 3) + 4 - 3 + 2)*(3*y - 4*y + 2*y).\nAnswer: 13188*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2513*w + 13. Is v(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -4, 1\/5, 256, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53199*l**2*w + 1749*l*w - 11*l wrt l.\nAnswer: 106398*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 8*y - 3*y)*(-17 + 12 - 12*y**4 + 11).\nAnswer: -60*y**5 + 30*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1965453773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from ziiz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k - 6. Let c(z) = z**2 - 2*z + 1. Let o(l) = -4*l**2 + 4*l - 2. Let f(r) = -2*c(r) - o(r). What is w(f(v))?\nAnswer: 10*v**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/(1\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75242, -75330, -75420, -75512, -75606?\nAnswer: -75702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -1242*i**2 + 3769*i. Let y(v) = v + 15. Give l(y(a)).\nAnswer: -1242*a**2 - 33491*a - 222915","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -141.025 + 0.025. Let d = v - -137. Which is the nearest to 0.2? (a) -1\/2 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/66 and 13.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 521237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2\/4 - 1141*h\/2 + 241660 = 0. Calculate h.\nAnswer: 562, 1720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 3*k - 6. Let m be z(4). Suppose -20*s = -m*s + 270. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + f = -2144. Let u = f + -15040\/7. Find the common denominator of u and 6\/(-21) + (-223)\/(-21).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 4 + 4. Let o(y) = -y**3 + 3*y**2 - 3*y + 2. Let t be o(n). Suppose t = 4*h + h + 5. Let r(w) = -8*w**3 + 1. Determine r(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 167 + -665\/4. Let k = 1.6 - 12.6. Let j = -7 - k. What is the closest to 2\/7 in j, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11979 + 18057. List the prime factors of k.\nAnswer: 2, 3, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m. Let y = 4 + -2. Let l be d(y). Find the third derivative of -n**l + n**6 - n**2 + 0*n**6 wrt n.\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-5))\/(5\/(-25)). Suppose -23966 + 23956 = -10*y. Put m, y, -3 in descending order.\nAnswer: m, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 178.28 - 1.28. Which is greater: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.074 in -1.2, -6, -3, 36?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/134 in 0.1, -3\/10, 1\/65, -14?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -105607 from 0.74021.\nAnswer: 105607.74021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6a84 + -3?\nAnswer: -6a87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - 550?\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, f: 13}. What is prob of picking 2 f?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-396)\/(-165)*(-2)\/4)\/((-2)\/(-15)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.21 + -1.01. Which is the closest to -2? (a) r (b) -0.5 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -10. Let r be (-6 + 6)\/(j + 0). Solve 0 = 3*q - x - 9, x - 3 = -r for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klkclkklkklllkka. What is prob of picking 1 l and 1 k?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.299827 millilitres to litres.\nAnswer: 0.004299827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) -2\/9 (c) 1.033 (d) 2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -293, -461\/23, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 22129, 22139, 22149?\n\"Answer: 10*k + 22119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-45421)\/1 + (13 - 19))\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 959739553 divided by 12671.\nAnswer: 75743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*r - 8*r - 60 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8921 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**4\/4 + 12945*r**3\/4 - 103413*r**2\/4 + 193815*r\/4 = 0?\nAnswer: 0, 3, 5, 4307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40107 and 0.5?\nAnswer: -20053.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*q = 112*q. Solve q = 8*a - 5*a - 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3641, -9311, -14981, -20651?\n\"Answer: -5670*j + 2029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*m + 13 = 0, -2*m + 4 + 1 = -3*r. Let p be 10\/5 + -2*r. Solve 3*h - n = 4*n - 18, 2*h - 2*n + 8 = p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7420, 79 in descending order.\nAnswer: 7420, 79, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 11 = -67. Let i(y) = -y**3 - 9*y**2 - 16*y - 140. Let t be i(-9). Calculate the highest common factor of t and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 19 + 3 = 0. Let i be (-14)\/f*(4 - 2). Let v(n) = 7*n + 4. What is the tens digit of v(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*a - 3*a. Let t = 1 + 4. Let j(d) = d**3 - 4*d**2 + 75*d - 300. Let h be j(4). Sort -1, a, h, t in ascending order.\nAnswer: a, -1, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r**2 - 2*r + 4. Calculate w(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/(-30))\/((-2)\/(-30)). Suppose -3*s + 5 = -2*c, -2*c - 4 - 7 = -d*s. Factor -4\/7 + 16\/7*m - 4\/7*m**4 + 16\/7*m**3 - 24\/7*m**c.\nAnswer: -4*(m - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 2 - 175*d + 183*d - 15.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -220 (base 4) to base 15\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 + (3 - -20)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 6186540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -26 (b) 3 (c) 5 (d) 2\/3 (e) 186 (f) 1 (g) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/8 and -5\/12528?\nAnswer: 12528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23268858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 2*y - 64 = -4*y, s - 11*y - 68498 = -68478 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -185.3 + 185.7. What is the nearest to 2\/7 in 2\/7, 56\/11, k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**6\/60 + 3*j**5\/5 + 27*j**4\/4 - 9*j**2. Determine x, given that z(x) = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2310102 + 21?\nAnswer: -2310021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 296*y - 586*y - 353*y**2 + 292*y.\nAnswer: -353*y**2 + 2*y - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 140?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4113240 is divided by 2056568?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1984 and 3520.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/33)\/(376\/2068).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-nine fifths of a millisecond?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5 = 2*q + 150, 4*u + 200 = -3*q. Let p be (-34)\/q + (-2)\/5. What is the third smallest value in 2\/15, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/(14\/12)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 160.5 + -160. What is the nearest to 1 in 1, -39, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {l: 3, h: 8}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 8*k - 5*v - 25 = 0, -11 = 4*k - 3*v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 14\/2 + -3. Let s = 5 + 7. Let c = s - x. Calculate the remainder when 8 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 128\/35 - 34\/7. Is h at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16767, 16766, 16765, 16764, 16763?\nAnswer: 16762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 215959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2183 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3523 (base 7) to base 12\nAnswer: 8b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98 and 2.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21)\/12 + 1\/(-4) - 9. Let l = s + 18. Suppose 2*o - 126 = -o. Calculate the highest common factor of l and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/369 and 32\/441?\nAnswer: 18081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.0479478, -3, -1, -0.3?\nAnswer: -0.0479478","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 736*i**2 + 1150*i**2 + 40*i - 41*i to the form j*i + p*i**2 + b and give p.\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/108 and -139\/25773336.\nAnswer: 25773336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/5844 and 71\/96?\nAnswer: 46752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 55054172 to the power of 1\/2, to the nearest integer?\nAnswer: 7420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000019438019196 to seven dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -234.7 in 0.3, -0.3, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/11 (b) 1 (c) -2 (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1213101020 (base 4) to base 8\nAnswer: -1472110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/(-9 - 1932\/(-216))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011882821937 rounded to 6 dps?\nAnswer: 0.000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 21\/8 of a microsecond?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 17 = -6*f + 36 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 37\/15?\nAnswer: 37\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, d: 2, u: 2, q: 2, x: 1, m: 6}. Give prob of picking 1 m, 1 d, 1 u, and 1 q.\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 - 10364520*u - 6713954676900.\nAnswer: -4*(u + 1295565)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Let n(g) = 14*g**3 + 31*g - 207. What is n(0)?\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.0275, 1\/2, -0.5, 15, 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - i**2 - 2*i + 19. Let s be y(0). Let x be 1204\/60 - 4\/6. Let w = x - s. Sort w, -0.8, 4\/7.\nAnswer: -0.8, w, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**46)**(-2\/131)\/(f*f*f**(-1\/38)*f*f\/((f*f**(-2\/7))\/f)) assuming f is positive.\nAnswer: f**(-172895\/34846)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.45 + 0.27. Let n = c + -0.6. Let p be (-32)\/(-4) + (-6 + -11 - -10). What is the third biggest value in p, -3, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 25. Let c = 5 + u. Let m = 44 - 42. Sort c, m, -6 in decreasing order.\nAnswer: m, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 5*l - 115, -2*d + d + 4 = 0. Suppose -3*o + l = 4. Solve o*b = 7*b + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1034 + -1008. What is the highest common factor of d and 1846?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 766 or 765?\nAnswer: 765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tjthththjtj. What is prob of picking 3 j?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 + 6*b**3 - 4*b**3 + (-b - b + b)*(2*b**2 + 5*b**2 - 4*b**2))*(3 - 3 + b).\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = t + 5*j, 9 = -4*t + 5*j - 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttwwninyttywywtcyt. Give prob of sequence wwy.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/50)\/(3\/12*-2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (3 - 4 - -5 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5518, 11141, 16764, 22387?\n\"Answer: 5623*d - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (sqrt(76) + 1 + sqrt(76) + sqrt(76) + -3)) + sqrt(76)*-2 + 4)**2*-5 - (6*(sqrt(76) - sqrt(76)*1))**2*1*6.\nAnswer: -6260 + 480*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/((-6)\/8*(-440)\/132). Let x(p) be the third derivative of -3\/8*p**y + 1\/60*p**5 + 7\/6*p**3 + 0*p - 28*p**2 + 0. Determine x(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6*u - 2. Let y be v(7). Let h = 20 + -16. Calculate the remainder when (-4)\/(-14) + y\/7 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1605027239, -1605027240, -1605027241, -1605027242, -1605027243, -1605027244?\n\"Answer: -q - 1605027238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 42 = -a. Suppose -a = -3*t + 3*c, 12 = -t - 4*c + 34. Let d be (-201)\/(-5) - 2\/t. What is the greatest common divisor of 8 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 297 and 363.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17021 times -1.2?\nAnswer: -20425.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/592? (a) -53 (b) -0.1 (c) 11\/6 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23577 - -39384. What is the thousands digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/10 - (-372)\/60. Let x(u) = -u - 10. Let j be x(-15). Find the third derivative of 3*h**5 - g*h**5 - 3*h**5 + 4*h**j + 3*h**2 wrt h.\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/31611789 and -107\/34485588.\nAnswer: 379341468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-60))\/((-6)\/8)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -63036 or -68947?\nAnswer: -63036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3249812 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 995*f - 78919 - 5656 for f.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 37*m - 3. Let c(b) = 184*b - 16. Let r(h) = -140*h + 1831. Let g be r(13). Calculate g*y(u) - 2*c(u).\nAnswer: 39*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - d - 1960433 = -2*c, -3*c + 4*d + 2940662 = 0. Let r = 1498214 - c. Round r to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 18089\/4, 0.1, 2\/405, -0.1?\nAnswer: 2\/405","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5\/3 - 19\/6. Which is the nearest to r? (a) -4 (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 10*s = 2*v + 55 + 111, 6*v + 31 = 2*s - 27 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-1)\/11 - 9\/(-132)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(-b + 0*b + 3*b)*(7 - 9 - 18).\nAnswer: 40*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-2)*6*2\/(-4). Let k(c) = c - 4. Let s(x) = -x**3 - x + 5. Give r*k(f) - 2*s(f).\nAnswer: 2*f**3 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 34*v + 111. Calculate p(37).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/110*(-25)\/6*2\/(-30)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1160?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-6)*15\/(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4 - 18870*f**3 - 2621317*f**2 + 16539612*f + 19142060 = 0 for f.\nAnswer: -18730, -146, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61686398162808 + -0.3.\nAnswer: 61686398162807.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 f when two letters picked without replacement from {f: 1, r: 2, z: 3, p: 5, j: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttttttptpt. What is prob of picking 4 t?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*x + 11*x - 13*x + 1368. Sort x, 2, -4.\nAnswer: x, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*b + 2882 + 33702 = 0, 4*p - 29230 = -3*b. List the prime factors of p.\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355635734 to the power of 1\/2, to the nearest integer?\nAnswer: 18858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-8)*4\/3. Suppose 4*d + 33 - 33 = 0. Suppose -4*t = -0*c - b*c + 194, 3*c + t - 263 = d. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240460184?\nAnswer: 2, 30057523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhzzhh. Give prob of picking 1 z and 2 h.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -648*u**2 - 11*u - 2. Let c(g) = -g**2 - 10*g - 2. Let y(f) = c(f) - x(f). Find the second derivative of y(h) wrt h.\nAnswer: 1294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**9*r**5*(r**(-2\/9)\/r)**(3\/2) assuming r is positive.\nAnswer: r**(73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 713626927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 88852.24 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**3 - g**2. Let z(f) = 140*f**3 + 7*f**2 + 639. Let j(p) = -6*n(p) - z(p). What is the first derivative of j(w) wrt w?\nAnswer: -456*w**2 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 16849.9 hours?\nAnswer: 60659640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 - 1 + 1)*(4*d - 5*d + 0*d)*(0 - 4 + 1).\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 10 - 16 - 2*b)*(2*b**2 - b + b).\nAnswer: -4*b**3 - 38*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 16 = 4*t - 7*s, -2*t - 4*s + 16 = 0. Suppose 3*g - 21 = -t*g. Let c(a) = a**2 - 5*a - 7. Calculate c(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, z: 1, q: 1, i: 3, y: 2}. What is prob of picking 1 l and 1 q?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 9:42 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - p**2 + 2. Let m be 14\/21 - (-2)\/(-3). Let z be x(m). Let b(h) = -h**3 + 2*h**2 - h + 1. Calculate b(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/20, -1, 5\/2, 0.5 in descending order.\nAnswer: 5\/2, 0.5, -1\/20, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/3*1*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2. Let u(c) = 2*c**2. Suppose -t - 2*p - 1 = 3, p - 13 = 2*t. Let s(w) = t*i(w) + 4*u(w). Let q(v) = 4*v**2 - 6*v**2 + 0*v**2. What is s(q(z))?\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -2, 7, 20, 37, 58, 83?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3979914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 206171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100 - 39) + -1 + -55?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-26)\/130)\/(1\/(-1255)) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (1 - (-8 - (-1 - 4)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(-170) - (-2)\/17. Solve -3*c + h = 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 i when two letters picked without replacement from {b: 1, d: 6, a: 1, i: 4, h: 1}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11, 22, 57, 94?\n\"Answer: c**2 + 30*c - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1342834*b - 85 = -1342749*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (98\/(-441))\/((-1)\/(9\/1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4647.114 weeks in nanoseconds?\nAnswer: 2810574547200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 3178342525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 37*y. Let x(j) = -3*j**2 - 39. What is t(x(b))?\nAnswer: -111*b**2 - 1443","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 973 = -388. Let k be -4*(-1 + 3\/6). Let g be k*1\/(4\/26). What is the highest common factor of g and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15.6 times 62555\nAnswer: 975858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f + 20 = -13*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-4 + -2 + 13).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lhq when three letters picked without replacement from hjhjqjllshdqq?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1932031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2075 is divided by 340?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 384, 765, 1146, 1527, 1908?\nAnswer: 2289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -12. Let l = -9 + f. Let j = l + 7. Which is smaller: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -5. Suppose 3*v = 4*w + 3, v - 1 - x = -w. Is (-20)\/(w\/(-3)) - 1 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 2*m - m - 15, 4*m = -p - 16. Let o be (-1)\/((-1)\/(-1))*2. Sort 2\/9, p, o in decreasing order.\nAnswer: p, 2\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (553\/(-154) + (-2)\/(-22))*2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.2815 + -2.2815. Which is the fourth biggest value? (a) -8 (b) -3 (c) -0.1 (d) f (e) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 p when two letters picked without replacement from pndndnnnnpn?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*w - 750 = 64*w - 22*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.9 + -1. Let g(m) = -12*m + 96. Let p be g(8). Put p, -2\/17, n in descending order.\nAnswer: p, n, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8 - -13) + 15964\/(-36). Is -439 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/((-3)\/9*-7)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1*-3*sqrt(171) + -1*(sqrt(171) + sqrt(171)*2))\/(sqrt(441)*-3 + 5*(sqrt(9) + sqrt(81))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 9*m = -36 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftgt when four letters picked without replacement from fbffbtgrftfftgtg.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - -5)*(-2 + -1). Let b(k) = 9*k**3 - 11*k**3 + 18*k**q - 2*k + 1. Is b(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17*150\/(-5610)*-2?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w - 9*w = 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.096 - 4.904. Let z = 1566 - 1561. What is the closest to 1 in 3, z, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1828 + 1826.176. What is o rounded to one decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 660 and 484?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -523225893, -523225894, -523225895?\n\"Answer: -b - 523225892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-588)\/576912*34*4\/(-7).\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3252 is divided by 464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 95*c + 889. Let x be u(0). What is the highest common divisor of 21 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - q - 1. Let w(t) = t**3 - 5*t**2 + 4*t + 4. Give -w(j) - 4*y(j).\nAnswer: -j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 8. Let o = 1114.4 - 1114. Sort -0.2, o, x in ascending order.\nAnswer: -0.2, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (25 - 25 - 4*b + (-3 + 3 - 2)*(0 + 0 + 2*b))*(10*b - 29*b + 9*b) as y*b**2 + k + h*b and give y.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 + 523859 - 523859.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1 + -3.9. Let z = 0 + -4. Let i be (-1)\/7*(-175)\/(-125). Which is the closest to -2\/7? (a) i (b) z (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -706 = -m - 3*u - 709, -5*u = 3*m + 21 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**4 - w + w - 2)*(-w + 3 - 3).\nAnswer: -2*w**5 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94607 is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1950668 divided by 24?\nAnswer: 487667\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 19*l**5\/20 - 47*l**4\/20 - l**3\/10 - 4*l**2 - 6*l. Factor a(x).\nAnswer: 3*(x - 1)*(95*x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**3 - f**2 - f + 2. Let x be t(1). Suppose 46 = x*v - 245. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from ttxxxgxgtxtgxg.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000442 rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-132)\/16 - -5) + 2)\/(1053\/468)\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -2 - (-12 - -11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 - 4882*c**2 - 2981680*c - 2976800.\nAnswer: -2*(c + 1)*(c + 1220)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.1, 0, -1.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 831 (b) 0.3 (c) 0.04 (d) 39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-2 - -2) + 2 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -39*6\/(-81) + (-30)\/(-270). Solve 11 = -2*l - 4*m + 5, g*m = 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 62317 and 0.134.\nAnswer: 8350.478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 300 and 1226850?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1061*r**2 - 74*r + 528*r**2 + 534*r**2 - 291 + 94*r.\nAnswer: r**2 + 20*r - 291","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2140.103 nanometers to millimeters.\nAnswer: 0.002140103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 10:04 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(448) + -1 + -2 - ((2 + -3 + sqrt(448))**2 + sqrt(448))) + 0 + (-4 + (sqrt(448) - 4*(sqrt(448) + 0 + sqrt(448))))**2.\nAnswer: 464*sqrt(7) + 21517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 8 + 20 = 0, -4*m + 3*w + 16 = 0. Solve -2*q + o = -m, 18 = -4*q - 4*o + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.7 + 1.7. What is the biggest value in 1, -1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v - 3. Let x be o(-7). Find the third derivative of -s**2 - x*s**2 + 11*s**3 - 2*s**3 + 2*s**2 wrt s.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - l - 15, 4*l + 5 = 4*k + 9. Solve 3*o + q = 4, -4*o - o - k*q + 2 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(10\/3)*356\/(-1602).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/17? (a) -1.39 (b) 5\/4 (c) -2\/13 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 2*i + 21. What is the lowest common multiple of 77 and i?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.044 + -0.004. Let u = n + -1.5. Round u to 1 decimal place.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -344 - -325. Let f be 3 - (a - -18 - 1*-4). Solve 3*g + 40 = 5*v, 4*g = -2*v - f - 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50802.901 - 50854. Let k = y - -0.099. Let u = k + 51.00205. What is u rounded to 4 dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 9*n + 16. Let u be g(7). What is the second derivative of -830*d**2 - d + 830*d**u + d**4 wrt d?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 734 = 5*p + o - 261, 2*p - 391 = o. Calculate the highest common divisor of p and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4414 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 9:46 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 97*p**2 - 879*p - 218. What is y(-87)?\nAnswer: 565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + (1 - 3) + (-132 - (152 - 271))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14306, 28234, 42162?\n\"Answer: 13928*j + 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10767229 > 10767233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*(1 + -3 - -1). Suppose 1546*i - 1549*i = -3. Suppose -2*o + 1 = 3. Put i, o, s in decreasing order.\nAnswer: i, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 15 = 2*i. Let c be ((-6222)\/95)\/i*(-35)\/(-616). Let p = c + -2\/209. What is the biggest value in 3\/5, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0105 - -0.2105. Let d = -453 + 9515\/21. Which is the closest to f? (a) d (b) -0.2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001 - 1100111011100011110?\nAnswer: -1100111011101000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 less than or equal to -178\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 115*c**2*p**3 + 4*c**2*p + 3*c*p**3 - 107*c*p wrt c.\nAnswer: 230*p**3 + 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50873822 is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*y - 14618 = -4776. Calculate the highest common factor of 154 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.143 and -4175?\nAnswer: 4175.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(9\/(-2)) - 0. Solve 0 = -2*t - 5*a - 20, -f*t - 9 = t - 3*a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4 + 3 + -4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -5\/3*f**3 - 4*f + 0 - 1\/2*f**2. Calculate the remainder when q(-1) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 47 - 356. What is t rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 5*d + o - 6, -2*o = -4*d + 16. Suppose 2*i = -d*i - 840000. What is i rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-27)\/6)\/((-6)\/(-16)). Calculate the common denominator of (372\/(-496))\/((-7)\/(-40) - 1) and 8\/m + 13\/(-12).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1540 - -47?\nAnswer: -1471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -160, -125, -52, 71, 256?\nAnswer: 515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 99, 2\/27 in decreasing order.\nAnswer: 99, 2, 2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -1647*z - 2309. List the prime factors of m(-6).\nAnswer: 7573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342403942?\nAnswer: 2, 171201971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -2) + -7 + -11 + 19?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 430247 to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.990087 milligrams in tonnes?\nAnswer: 0.000000006990087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 + 21*m + 30. Let l be w(-9). Solve -16*i + 19*i = -l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/17 (b) -37 (c) 3 (d) 6 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 + 1)*(-2 - 2 + 2) + 0 + 0 - 1)*(-913*p**2 + 1925 - 1925).\nAnswer: -2739*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 3 (c) 2984\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61 - -66. Let z be (-1 - -2)\/(1\/2). Sort z, 4, n.\nAnswer: z, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l - 5*l + 4*l)*(-51*l + 38*l - 55*l) + (-1 - 4 + 3)*(1 + 2*l**2 - 1) + l - l + l**2 to z + d*l**2 + p*l and give d.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5606119*a**2 - 4560722 wrt a?\nAnswer: 11212238*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*m + 71 = -25 - 104 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 32*g + 1. Let w(x) = 7*x. Let t(b) = 2*n(b) - 9*w(b). What is t(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -14. Let s = y + -7. What are the prime factors of -1 - 3 - (s + -68)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-1)*((-285)\/(-6) + 1). Suppose 0 = -2*w - 2*t - 2*t + j, -t = 4*w - 367. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zlta when four letters picked without replacement from tzzxtllatxlxtxxtzt.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -36*z**3 + 12*z**2 + 5*z + 423. Let f(j) = -54*j**3 + 19*j**2 + 8*j + 635. Let r(x) = 5*f(x) - 8*s(x). Differentiate r(c) wrt c.\nAnswer: 54*c**2 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 2*f + f)*(4 + f - 4) + (0*f + 4*f - 6*f)*(6*f - f + 4*f).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -45355, -45877, -46399, -46921?\n\"Answer: -522*r - 44833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 o when two letters picked without replacement from {r: 4, j: 3, o: 6}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6 = -2. Find the second derivative of 5*p**4 - 4*p**4 - 7*p**v - 4*p wrt p.\nAnswer: -72*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3195, -6471, -9747?\n\"Answer: -3276*g + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ohd when three letters picked without replacement from {y: 1, o: 4, h: 1, d: 1, g: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 913*i - 1757. Give c(2).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p**5\/4 - p**4\/4 - p**3\/2 = 0. What is p?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 120274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 233009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybc when three letters picked without replacement from vccvvvcvbyvvcvvcbvcc?\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.3, 0.5, 12\/31?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6692 and -64?\nAnswer: -428288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 0.2, 3, 5 in ascending order.\nAnswer: 0.2, 3, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 429936.01 to the nearest 10000.\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(1*(-3)\/(-6)). Let l = -30 + m. Let z(a) = a**3 + 10*a**2 - a - 7. List the prime factors of z(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(1\/20)\/o)\/o*o)\/o*o)**(-37) assuming o is positive.\nAnswer: o**(703\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 399482.\nAnswer: 2, 199741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 889 - 511. Suppose 19*w = 13*w + p. What is the highest common factor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) -0.08 (c) -11\/7734\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 1866 = 2*g + 1848, 0 = -5*g + 45. Factor -1\/10*j**3 + 2\/5*j + k - 3\/10*j**2.\nAnswer: -j*(j - 1)*(j + 4)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -758 - -5284\/7. Let o = 49069\/5 + -183641\/20. Let g = o - 640. Calculate the common denominator of r and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -218 at least as big as -1309\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**3 - 88*u**2 - 80*u + 69. What is g(-43)?\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -856, 22, -115, 14?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = l + w, w + 52 = 4*l - 3*w. What is the hundreds digit of 20\/(-140) - (-9186)\/l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d68cb7 (base 15) to base 7.\nAnswer: 152513431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11690142 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: What is prob of picking 1 e and 1 u when two letters picked without replacement from {e: 4, z: 4, u: 1, l: 3, x: 3, y: 2}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 12:11 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**2 - w - 1. Let h be c(-1). Let a(z) = z - 1. Let i be a(h). Suppose i*n + 2 = 6. Solve -2*p - n = -4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3465*l + 5253*l - 1754*l + 5707*l as g + o*l and give o.\nAnswer: 12671","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 0)\/(-1 + 2). Let h be 26\/60 - (-2)\/(-6). Do k and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273 = 4*p - 453. Solve -38*v = -p*v + 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(171)\/sqrt(9) - (sqrt(152) - (-3*sqrt(152) + sqrt(152)))\/sqrt(8))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -1325.\nAnswer: -1325, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2184, -2196, -2222, -2268, -2340?\n\"Answer: -i**3 - i**2 - 2*i - 2180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.381 less than 3148?\nAnswer: 3148.381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 18*i + 784 = 0. Find the common denominator of (-2)\/(-28)*(-44)\/(-1) and i\/(-20) - (-4)\/10.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -53.81206574 to two dps.\nAnswer: -53.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 380 + -270. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 26. Which is greater: -19 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.1486 - -0.1486. Which is the nearest to -2\/9? (a) 3 (b) 1\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 1. Let x(k) be the second derivative of 0*k**2 + 0 - 1\/50*k**t + 1\/15*k**3 + 1\/30*k**4 - 3*k - 1\/75*k**6. Factor x(h).\nAnswer: -2*h*(h - 1)*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -2\/54669?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -134.9 and -6.\nAnswer: 809.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283616509?\nAnswer: 11, 2377, 10847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3916*p**2 - 3968*p**2 + 7892*p**2.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4642 + -32?\nAnswer: -4674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 9:23 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 628*c - 626*c + 44 = 0, -v - 110 = 5*c for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 6 - 395*g**2 - 1.\nAnswer: -395*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 16*o**2 + 8*o - 21. Let j = -320 + 327. List the prime factors of a(j).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 449.3\nAnswer: 453.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3699246.38 - -3733900.3774. Let z = -34651 + c. Let g = z - 3. Round g to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-5 + (6*(0 + sqrt(75)) + (-2 + sqrt(75))*1)*-2 + -1)**2)*3.\nAnswer: 840*sqrt(3) + 44100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 16 = 3*w. Let p be (-2)\/(-15) + (-14)\/105. Suppose -z - s + 6*s = 0, 2*z - 5*s - 5 = p. Solve z*y + w = -4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 970931 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282, 582, 906, 1266, 1674, 2142, 2682, 3306?\nAnswer: 4026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 9) to base 12\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0144 and -37.\nAnswer: -0.5328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 125\/1125*(-9)\/(-4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) -1\/4 (c) -31 (d) 0.1 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 483 = 8*v + 91. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1806 and -0.203330944?\nAnswer: 1805.796669056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 296 + -254 + (-33 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -228 divided by -4.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 2 - 23*u**2 - 6 + 12*u**2.\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 896 - 3639\/4. Find the common denominator of 29\/16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*f = -8, 0 = 2*i - 3*f - 1 + 20. Let d be i\/(88\/(-24))*1. Solve 4*c + 3*s = -2*s - 7, 2*c = -3*s - d for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 204 and 757843?\nAnswer: 9094116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12732941579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = z + 27. Suppose -5*f - u = 2*u - z, 2*f = 5*u - 14. Let p be (-5)\/((-45)\/6)*-6. Sort p, 0, f in increasing order.\nAnswer: p, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7227211*n**2 + 27*n + 51595622.\nAnswer: 14454422*n + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 7:57 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-21)\/9 + 2)*2. Let d = -1 - -0.6. Let f = -0.2 - d. Which is the third biggest value? (a) 1 (b) f (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5630121 and 189?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m + 5. Let z be g(4). Suppose -p - 1 = -4*p + 2*t, 5*t = -3*p + z. Let v be 1 + -4 + 8 - p. Solve 3 = 5*h - v*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/5*15\/(-6). Let i(o) = 2*o**2 + 6. Let k(w) = -1. Let m(c) = r*k(c) + i(c). Differentiate m(q) with respect to q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24425564 is divided by 71.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1086771090?\nAnswer: 2, 3, 5, 36225703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1225 in -3, -0.03, 0.2, -215?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 3:53 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-6) - (-6)\/18. Suppose w = v + 2*v - 48. Calculate the remainder when 77 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.10214 microseconds in nanoseconds?\nAnswer: 27102.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -848, -722, -520, -248, 88, 482?\n\"Answer: -d**3 + 44*d**2 + d - 892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2708341?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*t**2 + 17*t**2 + 16*t**2 + 17*t**2 - 93*t**2 + 21*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34425247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(125) + -5 - sqrt(180)*-2)**2 + (-1*sqrt(320) + 2)*-4*4.\nAnswer: -42*sqrt(5) + 1438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*b**4 + 3*b**2 - 1333*b.\nAnswer: -552*b**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 50*w**2 - 2*w - 6. Let o(y) = -49*y**2 + y + 5. Let s(k) = -4*n(k) - 5*o(k). What is the second derivative of s(q) wrt q?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 192 and 336.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 125902 and 27853.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 129426 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 8458.\nAnswer: 8461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 26\/5 of a microgram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 17 = u, 0*w + 5*w = -2*u + 22. Let v be 1\/(-4) + 95\/(-20). Let g = v - -3. Put g, -5, w in ascending order.\nAnswer: -5, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -435 (c) 23 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110202222 - 10?\nAnswer: 110202212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 - -29. Let y = -39 - t. Which is the closest to -5? (a) -3 (b) y (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -786*k + 72*k - 14537 = -72371 for k.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 4 - (1 + -6)) + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p - 20285*p**2 + 10122*p**2 + 0*p + 10155*p**2.\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - x**2 - x - 1. Let q(s) = -5*s**3 + 12*s**2 - 3*s - 3. Let t(w) = -4*j(w) - q(w). List the prime factors of t(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*r**3 + 259*r**4 - 260*r**4 + r**2 + 10*r**3 + 2*r to the form f + k*r + a*r**2 + l*r**4 + x*r**3 and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/5)*s)**21*(s\/(s\/(s*s\/s**(-2\/9)*s)))\/(s**(-8)*s) assuming s is positive.\nAnswer: s**(1027\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 16. Let t(b) = -3*b - 4. Let h(o) = -7*o - 10. Let f(l) = -4*h(l) + 10*t(l). Let q(s) = s. Determine i*f(u) - 7*q(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, f: 1, c: 1, p: 1, z: 2, h: 1}. What is prob of picking 1 f and 1 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p**2 - 16*p**2 - p - 34 - 3 - 17*p**2 wrt p.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*g - 2*g. Let a be (-1)\/3*48\/(-4). Suppose -a*d + 20 = -4*u, 2*d + 2 - 8 = -2*u. What is the remainder when d is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -761 from 20.\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/2 - 19276*j - 38551\/2.\nAnswer: -(j + 1)*(j + 38551)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/((7 + -2)\/75). Suppose -4497 = -g*p + 177*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 180*h**3 - 2*h**2 - 1. Let f(m) = -181*m**3 + 3*m**2 + 1. Calculate 3*a(i) + 2*f(i).\nAnswer: 178*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 157530899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40 - 34) + (-80)\/14.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 240, -4, -6, -865 in increasing order.\nAnswer: -865, -6, -4, 12, 240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a centimeter in millimeters?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11)\/(132\/(-8))*12. Suppose -4*u + 4*q + 0*q = -30532, -2*q + w = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12348*x**3 - 16*x + 83.\nAnswer: 74088*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38766, -38807, -38848, -38889, -38930, -38971?\nAnswer: -39012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**38*k*k**(-23)*k)**(18\/7) assuming k is positive.\nAnswer: k**(306\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-24)\/28)\/2)\/(87\/(-9541)). Solve k*w - 46*w + 2 = -g, w - 10 = 3*g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1842687733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 650*z + 97. Let t be g(-1). Sort 2, -2, t in descending order.\nAnswer: 2, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52 (base 7) to base 8.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 80*x**2 + 156*x + 7964. Give n(-79).\nAnswer: 1881","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 42439583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -393 (base 12) to base 16\nAnswer: -21f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16596 divided by 6?\nAnswer: 2766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -498596 not equal to -498596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -74366444 (b) -1\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**2*p**3*x - 9*a**2*p**3 - 130*a**2*p**2 + 7929*a**2*x + 2*a*p**3 wrt x?\nAnswer: 2*a**2*p**3 + 7929*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 142, 37, -280, -923, -2006?\n\"Answer: -19*c**3 + 8*c**2 + 4*c + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 44*c**3 - 50*c**3 - 1 + 7*c**3 - c. Let n(h) = -5*h**3 + 4*h**2 + 4*h + 4. Calculate 4*b(w) + n(w).\nAnswer: -w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351 is divided by 88.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 250284*o**4 - 972407 wrt o?\nAnswer: 1001136*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 55 - (-51 + -7) - 9\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*i - 5*c - 89, -4*c = i - 9. Calculate the remainder when 45 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -9 - ((0 - 0) + 8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3*z**5 - 159*z**4 - 5121*z**3 - 9417*z**2 + 5118*z + 9576 = 0?\nAnswer: -21, -2, -1, 1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -2.9. Let x = -33287.878 - -33288. Is m > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 35cd + f?\nAnswer: 35dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (-2)\/2 - 0. Suppose -z = -3*w + 199, w - l*w + 73 = -2*z. What are the prime factors of w?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00036761664 to seven dps.\nAnswer: 0.0003676","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19098 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: Solve -191*w + 191422 = 181108 for w.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1457.7 + -1561.7. Is 13 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 101850 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and -5*(0 - 46\/5)?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/21)\/(2\/(-42))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -127 - -122. Sort -2, 4, -4, o in ascending order.\nAnswer: o, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1448216167.\nAnswer: 1579, 917173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -j + 242, -d = 4*j + 2*d - 930. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 1775*b + 2. Let s(y) = -y**2 - y + 13. Let j be s(0). Suppose 3*k - j = -5*a, -5*a + 9 = 4*k - 5. Is g(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9955 + -8326. Does 2 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262514 is divided by 7718?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-13539)\/21)\/1 - (-2)\/(-7). Let j be (3 + 15\/(-9))\/(10\/l). Let z = j + 349\/4. Which is the nearest to 2\/7? (a) z (b) 2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 23. Let c be (-16)\/(1 + -2) - 0. Let x be (-2 + 4)*4\/c. What is the second smallest value in h, x, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -395.2907 + -2.7293. Let l = x + 405. Let h = 7.6 - l. What is h rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-24)*3*-114. Differentiate -101 + 27 + o**2 + n*o - 2*o wrt o.\nAnswer: 2*o + 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66 - 62. Solve f - w = -9, -4*f = -w + 5*w + d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 663 + -679. Which is the nearest to -1\/4? (a) g (b) 0.1 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - -11) + 12 + -17?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 2.4103?\nAnswer: 2.4103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a = 34*a - 702. Suppose a*b = 41*b - 566. Is b a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6473501.4 to the nearest one hundred thousand.\nAnswer: -6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 4:06 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**2 + 2709492*f - 611778908172 = 0.\nAnswer: 451582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 13) + 4 - (0 + -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5246.452mg?\nAnswer: 5246452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3373843 and 32549?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2100102 (base 3) to base 11\nAnswer: 1317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 1012362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008429 to six dps.\nAnswer: 0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p - 11. Let k be a(-12). Solve 13 - k = 3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*f**5 - 10*f**4 - 55*f**2 + 1.\nAnswer: 720*f**2 - 240*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-10)\/10*(-35)\/5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1376603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 57 = p, 0 = -4*a - 4*p - 0*p + 52. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 88 - 88 = -13*b. Solve 5 = a + 2*o, b*a - 10*a - 3*o = -15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {a: 1, q: 17}?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*t**2 + 99*t**2 - 148*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 92 = -2*g. Suppose h = -3*q - 3*h + 114, -3*h - 76 = -2*q. Let t = q + g. What is the highest common divisor of 165 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + 9239254219585\nAnswer: 9239254219585.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 21*d**2 - 141*d + 31. What are the prime factors of i(-37)?\nAnswer: 2, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifteen quarters of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 794 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -151*a**2 - 978*a - 19. Determine l(-6).\nAnswer: 413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x - 835 + 635 = 0 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*1*((-115)\/10 - -8). Let y = -59 - -40. Let l = y + j. Solve 5*w = 2*q - 0*w - 14, l*w = -4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3 + (-16)\/240)\/(2\/(-70))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19058 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: Collect the terms in 25 + 21*s**2 - 10*s**2 + 32 + s**3 - 11*s**2.\nAnswer: s**3 + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -526*g**2 + g + 36. Let b(z) = z**2. Calculate o(b(j)).\nAnswer: -526*j**4 + j**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*2*186\/(-124)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + 2 + (28 - (6 - 6 - -34))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, k: 1, j: 1, h: 2, x: 2}. Give prob of picking 1 x and 1 j.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 79 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3797094 divided by 8\nAnswer: -1898547\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 0.08, -5, 3.\nAnswer: -5, 0.08, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(133) + 3*sqrt(133) + sqrt(133)))\/(sqrt(21)\/(sqrt(3) + sqrt(147))).\nAnswer: 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-117)\/78*(-2)\/(12\/(-5)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i. Suppose -5*j - 4*q = -185, q + 185 = 5*j - 0*q. Let w(c) = -36*c**2 + 87*c**2 - j*c**2. Calculate w(t(m)).\nAnswer: 224*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n**2 + 3*n - 10. Let k(i) = -5*i**2 + 4*i - 9. What is -3*k(p) + 4*t(p)?\nAnswer: -5*p**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 687456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fsqfqsqffsqqsf. Give prob of picking 1 s, 1 q, and 1 f.\nAnswer: 25\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 7 = -5*v - 2, -2*v + 2 = 2*p. Suppose 0 = -m + 8 - 3. Let u be (-2)\/m - (-26)\/(-10). Sort p, -1, u in decreasing order.\nAnswer: p, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.005774 times -3.9\nAnswer: 0.0225186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (294\/4)\/7*58\/87?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-80)\/14 + 348\/(-42).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1010061, -2020103, -3030127, -4040133?\nAnswer: -5050121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -13 + 4. Let j(o) = o**3 + 5*o**2 + 3*o - 3. Let n be j(u). Let c(f) = 8*f - 3. Let r be c(n). Calculate the highest common factor of r and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -4175.\nAnswer: -3\/4175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18311275943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 46*b - 39. Give p(-2).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 12) to base 10.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 0.03, -0.1, -5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 369938, 369874, 369808, 369740?\n\"Answer: -k**2 - 61*k + 370000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 448509456 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 24 = 2*j, 2*d + 2*j + 251 = 235 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00722625 rounded to 5 dps?\nAnswer: 0.00723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-24)\/(-24))\/(2\/4). Suppose -3*f + 3 = -r*f. Let p(k) = 2*k + 6. Let t be p(-4). Sort t, f, 1 in decreasing order.\nAnswer: f, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 - 4*o**2 - 3*o - 4. Give x(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/9174 and 46\/7?\nAnswer: 64218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2216079, 2216585, 2217079, 2217555, 2218007, 2218429?\nAnswer: 2218815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(2\/7 + 48\/(-462))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 182*l - 198*l - 64. Let r(w) = -w - 3. Let i be r(-7). Sort i, -7, l, -2 in decreasing order.\nAnswer: i, -2, l, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/12*1730*(-18)\/(-15). What is the hundreds digit of (-32)\/(-24)*i\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -x**5\/20 - 19*x**4\/12 + 19*x**3\/6 - 17*x**2\/2 + 95*x. Let h be v(-20). Solve -4*o - 11 = 3*t, -4*o = 5*t - h*t + 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10262 and -12.\nAnswer: 123144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zr when two letters picked without replacement from grgrzbrr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x - 1905. Let y(p) = -125*p - 8. Let c(m) = 31*m + 2. Let j(z) = 4*c(z) + y(z). Calculate d(j(t)).\nAnswer: -t - 1905","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1770 and 1290?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35 + 111 + 283)*(20*n - 15*n - 9*n)*(2*n**2 - 3*n**2 + 3*n**2) to d + h*n + p*n**3 + a*n**2 and give p.\nAnswer: -2872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -231*k - 35435. Calculate q(-145).\nAnswer: -1940","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/891924 and -23\/7018?\nAnswer: 9811164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*g = -184. Let w = 277 + g. Let u = w - 26. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -7487.407.\nAnswer: 1497.4814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -114 less than -52084\/455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-8) - (-38)\/8. Suppose -3*l - 2*v + 167 = 0, -p*l = -9*l - 2*v + 277. Suppose -l*i + 59*i - 92 = 0. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*f + 106*f + 4*d + 13 = 0, -19 = 4*f + 5*d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 + -63. Let h be (2\/4)\/((-110)\/c). Which is smaller: -0.2 or h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20054 and 213548?\nAnswer: 7901276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 34, 37, -1, 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**11*o)\/o)\/(o*o**(-3\/13)*o*o)*(o\/o**(2\/9))**(1\/27) assuming o is positive.\nAnswer: o**(26092\/3159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -347*x + 1395 = -680*x + 342*x. Suppose -v + 2 = -3. Calculate the highest common divisor of x and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 8 = 3*h. Solve h*w - 6 = -2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3960184.\nAnswer: 2, 17, 37, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (-5 - (4 - 2))) + (-9 - 18).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41)\/246*2*3*3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1566 or 30?\nAnswer: 1566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -221*r + 326. List the prime factors of v(-10).\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 2\/(-4)*6. Let o(q) be the first derivative of -1\/2*q + 2 + 1\/4*q**2 + 1\/6*q**g - 1\/8*q**4. Find b such that o(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a micrometer in nanometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence roo when three letters picked without replacement from roowwfwfowwwrwwofrww?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 0*i - 16485 = 5*i - 16560, 0 = -10*o - 5*i + i + 74 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -3 - (10 + -3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 4) in base 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.466 and 2.\nAnswer: 0.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a - 77. What is g(0)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*a + 12*a - 121*a**3 - 9600*a**2 + 9610*a**2 to k*a**2 + l*a + r + x*a**3 and give x.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*l*y**3 - 173886*l*y + 25*y**3 - 66*y - 3 wrt l?\nAnswer: -7*y**3 - 173886*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1992663 and 0.4.\nAnswer: -1992662.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -23*b**2 + 5*b + 17. Let k(i) = 145*i**2 - 29*i - 103. What is 3*k(z) + 19*w(z)?\nAnswer: -2*z**2 + 8*z + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.10707 + -0.1003. What is o rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 0.30883958\nAnswer: -0.70883958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -2)\/(20\/(-98182)). Let u = 4903 + s. Calculate the common denominator of u and 46\/(-5) + 33\/(-55).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/13860 and -67\/3861.\nAnswer: 540540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -42 greater than 0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + c**2 - 1. Let w(z) = -z**3 + z**2 + 30*z - 4. Let n(a) = 4*v(a) - w(a). Find the second derivative of n(d) wrt d.\nAnswer: 30*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -660\nAnswer: -1980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z*z**(-7))\/(z*((z*z**(-9\/5))\/z)\/z))\/((z**(-2\/17)*z)\/(z*z**6)))**(-20) assuming z is positive.\nAnswer: z**(-1332\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p - 5. Let x be v(0). Suppose -5*m - 18 - 12 = 5*a, -5*m = -a + 6. Let c be 22\/5 - m\/x. Calculate the highest common divisor of 2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/1*(4\/(-14))\/(135\/(-1260)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -p. Let r = -1 - -2. Solve -5*j + 19 = -3*a, 2*a = -p*j + j - r for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -222, -223, -234, -261, -310, -387, -498?\nAnswer: -649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10798, -11466, -12152, -12868, -13626?\nAnswer: -14438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1735*a - 1737*a - u - 75 - 212, 3*a - 4*u + 425 = 0 for a.\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2 (b) -0.4 (c) -8\/7 (d) -8 (e) -672\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1389678808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(30)\/sqrt(6) + 5) + -4.\nAnswer: 3*sqrt(5) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -2. Suppose 0 = -2*n - l*k + 494, -2*n + 4*k + 494 = 2*k. Suppose -93 = -4*v + n. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003511580519 rounded to six dps?\nAnswer: -0.000351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/2 - 37*2164\/(-18). Let o = k + -4442. Let b = 31 - 100\/3. Find the common denominator of b and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*l**3*w + 2*l**3 + 2*l**2*w - 129*l**2 - l*w - 61*l + 13*w wrt l.\nAnswer: -30*l*w + 12*l + 4*w - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 199*q**3 + 19*q wrt q.\nAnswer: 1194*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-36)\/4 - 12\/(-4). Which is the biggest value? (a) -4\/5 (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -1\/2, -2\/9, -4\/7, 7, 374, 3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -213*g**3 + 116*g wrt g.\nAnswer: -1278*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/3*(-2)\/(6\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -331, -588, -777, -892, -927?\n\"Answer: k**3 + 28*k**2 - 348*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7795, 15499, 23203, 30907, 38611, 46315?\nAnswer: 54019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*w + 10 + 6, -n - w = -6. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/12 and 63\/80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1\/(5\/70) - 0 and 48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (51 - 1 - (20 + -34 - -16))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 639775597?\nAnswer: 421, 1519657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2153, 4\/7, -1\/6?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-4)*-1)\/11\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) -36 (c) 16 (d) 4\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 21 = -0*s. Suppose -53 + s = -4*z. What is the lowest common multiple of 6\/10*4830\/207 and z?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*r - 72 = 32*r. Does 18 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 743168594 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 2 (c) 987.37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 12230653 to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3 + 14\/9*f - 2\/9*f**2.\nAnswer: -2*(f - 6)*(f - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1747393 is divided by 8870.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -3. Suppose 5*h + 5 = 0, 2 = 2*j - 5*h - 1. Which is smaller: j or w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 357470.86 to the nearest 1000.\nAnswer: 357000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.7 + -2.7. What is the nearest to o in 44, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*i - 3*i. Let v = -978\/7 - -2285\/14. What is the common denominator of v and 87\/(-10) - 2\/i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -10 + 7. Suppose 3*k - 4*x = 32, -4*k + g*k = 5*x + 21. Let q(f) = 4*f**2 - 2*f + 5. What are the prime factors of q(k)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n - 5. Suppose -5*v + 5*c - 63 = -18, 45 = -5*v - c. Let r = v - -4. List the prime factors of o(r).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*p + 100*p - 50*p + n - 9 = -2*n, -2*p = -2*n + 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*a = 2*a - 2922, -2*a + 1468 = -2*y. Let x be (-3)\/6*2*401. Let q = x - y. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**4\/12 - 5*z**3\/3 - 9*z**2\/2 - z - 14. Calculate q(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15713.81 millennia in centuries?\nAnswer: 157138.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2074418730 to the power of 1\/2, to the nearest integer?\nAnswer: 45546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**5\/60 + b**3 - 3*b**2. Let i be o(0). Suppose -i*x = -7*x, 0 = -3*z + 2*x + 228. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -74*d - 11276. Give o(-152).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1500\/225)\/((-2)\/(-36) + 0). Suppose l*a = 123*a - 1728. Does 32 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14122 + 36938. List the prime factors of q.\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2042 or -2041?\nAnswer: -2041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 d, and 1 g when three letters picked without replacement from gqzgdtggd?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 + 23805*r**2 - 47258856*r + 141562404.\nAnswer: -3*(r - 3966)**2*(r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65 by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6121 (base 7) in base 13?\nAnswer: -c73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -955*j - 106*j = -573*j + 869*j - 56994 for j.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-302)\/7 + 10\/70)*-1. Let t = -43 + p. Suppose -5*n + t*n = 35. Is -6 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 * -198961\nAnswer: 298441.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (4 - 5 - -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.04, -3, 1\/5, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -3*z**2 - 173. Let j(u) = -6*u**2. Determine j(g(r)).\nAnswer: -216*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -7*v + 4*o - 274, 2*v - 175 = 5*o. What is the first derivative of -24*a**2 - 2*a + 91 - 3 - 229 - v wrt a?\nAnswer: -48*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -190091.81 and -75.\nAnswer: 14256885.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 - 2*c**2 + 3*c**3 - c**2 - 9*c**3.\nAnswer: -7*c**3 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 75.5.\nAnswer: -15.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/(-2))\/(-1)*12\/(-5). Suppose -f*r + 50 = -40. Calculate the smallest common multiple of r and 27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 6*j**2 - 27*j + 140. Let q be y(7). Which is bigger: -3\/574 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10764 divided by 46?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/7 + 12210*j**2\/7 + 494022*j + 239454902\/7.\nAnswer: -2*(j - 6379)*(j + 137)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4830, -6029, -7228, -8427?\nAnswer: -9626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2139593857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, t: 1, i: 3}. What is prob of picking 1 t, 1 i, and 1 f?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 22.27 (b) 2 (c) -5\/106 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 12:30 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -975, -984, -991, -996?\nAnswer: -999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 + -109. Let w be -2 - -5 - 35\/7. Let i be (w + 4)\/(-2*(-2)\/(-120)). Is r at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-504)\/420*2\/12*1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60 - -30. Let p be (-1188)\/v + (-2)\/(-5). Let y = p + -36. What is the greatest common divisor of y and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 28096*a - 814563. Calculate m(29).\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1704 divided by 82?\nAnswer: -852\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -3. Let x be (0 - -7)\/((-1)\/r). Differentiate -11 - 3*i**4 + 0*i**4 + x wrt i.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572000 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1497?\nAnswer: 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - n**2 + n. Let d be f(0). Let g be (4 - 3) + 8 + d. Let j = -48\/5 + g. Which is the biggest value? (a) -1 (b) 0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -224 (base 6) to base 13\nAnswer: -6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3336 is divided by 1665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-20457*p + 370 + 10229*p + 10231*p).\nAnswer: -6*p - 740","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6009 is divided by 543.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-91)\/182*390\/(-3)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k*k\/(k*k*k**(-2\/5))*k)\/k)**(-2\/19)*k\/k**4*(((((k*k**5*k)\/k)\/k)\/k)\/k)\/k*k)**(-9) assuming k is positive.\nAnswer: k**(126\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 + 2*q**2 - 10*q + 132867 - 132852 - 3*q**2 + 10*q.\nAnswer: -4*q**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 171 or 2220\/13?\nAnswer: 2220\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12035 by -2407.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(30\/100)*(-144)\/48.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*z - 26, z - 10 = 6*z. Let n be 2\/((-1 - -5) + -5). Put c, n, -23 in decreasing order.\nAnswer: c, n, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000100 (base 2) in base 9?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6275 + 6967. Is 693 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 32 - 26 - 3*1. Suppose 2*u - 2*f = 942, 9*u - 2365 = 4*u + j*f. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.359 - 0.059. What is the closest to 0 in -3, w, 22?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35*a - 955*a**6 - a**4 + 1015*a**6 + a**4 + a**2 wrt a?\nAnswer: 7200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 186 and 87172?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 69400.64nm?\nAnswer: 0.00006940064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 18*n - 73. What is j(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/7 - 1677*x + 199274\/7.\nAnswer: (x - 11722)*(x - 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27333 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(-t - 1 + 1 + (-2*t - 2 + 2)*(-1 + 0 + 0))*(-29 - 28 - 5*t + 60).\nAnswer: -10*t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2582 (base 16) to base 4\nAnswer: -2112002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xm when two letters picked without replacement from ymxxgy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.4 - 33?\nAnswer: -22.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 516 - 495. What is the least common multiple of s and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 3 + u**2 + 4*u + 6. Let x be 8\/(-2) + (-7 - -9). List the prime factors of o(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i - 161. Let a(u) be the first derivative of 3*u**2 - 1510. Calculate b(a(x)).\nAnswer: -12*x - 161","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -1000101010?\nAnswer: 1000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10812.95 rounded to the nearest 10?\nAnswer: 10810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + 3*(sqrt(170) + 1*sqrt(170)))\/(sqrt(30)\/(sqrt(27)\/sqrt(9))).\nAnswer: 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6106 + 2.3894. Put 0.4, 0, u, 20 in increasing order.\nAnswer: 0, 0.4, u, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (262\/6)\/((-28)\/21). Let o = 33 + z. Let i be (-6)\/4 + 8\/16. Is i greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 6*z + 2. Determine j(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in seconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -11, 2\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*l**3 - 6*l**3 + 8 + 3*l**3 wrt l?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 32 = 5*v. Let k(y) = -y**3 + 7*y**2 - 3*y - 8. Let m be k(v). Let s = -8 + 12. Calculate the greatest common factor of s and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1035, 1017, 999, 981, 963?\nAnswer: 945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -235226728, -235226733, -235226742, -235226755, -235226772, -235226793, -235226818?\n\"Answer: -2*k**2 + k - 235226727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, u: 2}. What is prob of picking 2 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 9*x**2 + 5*x - 13. Let u(w) = -4*w**2 - 2*w + 6. Let l(g) = 6*i(g) + 13*u(g). Factor l(z).\nAnswer: 2*z*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - 31.87. Let s = v + -5.13. Which is the third smallest value? (a) -0.2 (b) -1\/2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4772, -9549, -14328, -19109?\n\"Answer: -q**2 - 4774*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*p = 0, 0 = -3*t - 3*p. Suppose 2*k - 125 - 77 = t. Suppose 3*j - 5*j + 52 = -4*h, 4*j - k = 5*h. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*u + 38 - 217, 19 = u - 4*i. Suppose 0 = 5*a - 0*a - u. Calculate the remainder when a is divided by (-4)\/(-2)*6\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 1 = 3*y - 5*a, 90*y - 5*a + 2 = 89*y - 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/432 and 137\/816?\nAnswer: 7344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 1040.\nAnswer: 1\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 11*v**3 + v. Determine r(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2437 + -241. Is r a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -97 and 33.885.\nAnswer: -3286.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.12399408 - -0.12395. Round p to seven dps.\nAnswer: -0.0000441","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j. Let b(n) = 29*n. Calculate y(b(w)).\nAnswer: 145*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1ca0 (base 13) to base 12\nAnswer: -262b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46882478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2012202111 (base 3) to base 8\nAnswer: 125054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-1*sqrt(156)*2)\/(sqrt(120)\/sqrt(40) + ((sqrt(120)\/sqrt(5))\/sqrt(2) - sqrt(12))))**2.\nAnswer: 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 3:15 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 8 = 3*i + 1, 5*c + 23 = 4*i. Let j = 2046\/3605 + 2\/515. Let -j*v**i - 2*v**3 + 4\/7 + 2*v = 0. Calculate v.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -422424153 (base 6) to base 5.\nAnswer: -3344000102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 864776, 864176, 863168, 861746, 859904, 857636?\n\"Answer: -n**3 - 198*n**2 + n + 864974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*k**3 - 7*k**2 - 10*k**2 + 24*k**3 wrt k?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288.05923 rounded to the nearest ten?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -1\/7*t**2 - 1\/105*t**6 - 1\/147*t**7 + 1\/35*t**5 + 1\/21*t**4 - 2*t + 0 - 1\/21*t**3. Let k(l) = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**3 - 2*t - 1. Let d be v(-1). Let r be 2 + (-24)\/10 - 132\/(-30). Find i, given that -r*i**3 - 3*i**d + 5*i**3 - 3*i**4 - i**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 2993*m**6\/120 - 1471*m**5\/60 + 67*m**2. What is the third derivative of f(z) wrt z?\nAnswer: 17958","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/526 and -57\/50?\nAnswer: 13150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 14 + 22 = 0. Let j = a + -4. Solve m + 4*l + 1 = 6*l, j*l - 9 = -4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from rryryrrr.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-4 - 5) - -6) + -32 + 6?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p - 1. Let r(l) = 52*l**2 - 3*l + 3. Let z(o) = 2*q(o) + r(o). What is the units digit of z(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6391?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = -4*c, 4*h + c = -14. Let a(z) = z**3 - 5*z**2 - 9*z - 3. Let o(t) = -6*t**2 - 9*t - 3. Let d(u) = h*a(u) + 4*o(u). Factor d(w).\nAnswer: -3*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, s: 3, y: 3, r: 1}. Give prob of picking 1 s and 1 p.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(891))*1 + -6*(sqrt(1100) + -1) + 2 + (-4 + sqrt(891)*2 - (sqrt(891) + -2*sqrt(891)*2 + sqrt(891) + sqrt(891))**2).\nAnswer: -888 - 33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28303334 is divided by 165516.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8313840?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.9 + -0.1. Suppose 3*d - 2 = 13*d - 11*d. What is the nearest to 0.1 in 0.2, l, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(1*sqrt(66) - sqrt(66)) - sqrt(66)) + sqrt(66) + (sqrt(66) - (sqrt(66) + -5*(2*sqrt(66) + sqrt(66)))))\/(sqrt(60)\/(sqrt(10) + 4*sqrt(40))).\nAnswer: 135*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 532133214.39178 - -5?\nAnswer: 532133219.39178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/4 and (1284\/(-18))\/(6*-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 7*j**2 - 2*j - 18. Let w(l) = 20*l**2 - 6*l - 55. Let b(z) = -17*n(z) + 6*w(z). Calculate the remainder when 65 is divided by b(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 + 0.3. Let g = 14.6 - 14. Let x = -0.8 + g. Which is the closest to -1\/2? (a) x (b) -0.3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5879514551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/9 (b) 27 (c) 5 (d) 2 (e) 1\/8 (f) -21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4097308?\nAnswer: 2, 1024327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4219 or 4470?\nAnswer: 4219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -164*s**2 + 1358 + 600*s**2 - 220*s**2 + 2*s - 221*s**2 to the form t*s + a*s**2 + p and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/45 + (-2)\/(-6)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 5*m = -72 + 42, -s + 7 = m for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25 - 8*u - 3*u**4 - 39 + 0*u - 10*u wrt u?\nAnswer: -12*u**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -7*q**2 + 5*q - 5. Let u(o) = 8*o**2 - 6*o + 6. Let k(l) = 6*j(l) + 5*u(l). Let s(w) = -38*w**2 + 2. What is k(s(p))?\nAnswer: -2888*p**4 + 304*p**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4317 is divided by ((-5)\/(-15) - -10)\/(3\/27*3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -p + 7, -p + 5*q + 5 = 4*p. Suppose -3*t = -3*y + 2*t + 57, -p*t = -5*y + 111. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkk when three letters picked without replacement from kzkzz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 10:19 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 293809 divided by 101.\nAnswer: 2909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3bb2d (base 14) in base 16?\nAnswer: 240ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7847152, 7847149, 7847144, 7847137?\nAnswer: 7847128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -r**2\/2 + 2*r - 55. Let u = -6 - -10. Calculate o(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -8.6, 1\/17?\nAnswer: -8.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**3 - 65*p**2 + 60*p + 788. Determine m(31).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-6))\/(28*2\/(-16))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/11 <= 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 327930224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - -726688?\nAnswer: 726681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -295460, -295451, -295442, -295433?\nAnswer: -295424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + sqrt(171)*-1*6)\/(-2*sqrt(900) - sqrt(900) - sqrt(900)).\nAnswer: sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**3)**(21\/2)\/(v**(-1)\/v*v)**31)**(-50) assuming v is positive.\nAnswer: v**(-3125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -490 - u - 70*u**2 + 1318*u**2 + 490 to the form s*u**2 + y + d*u and give s.\nAnswer: 1248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 6*q - 3. Solve 10 = q*h - 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 21*o**2 - 18*o - 4. Does 6 divide p(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3247 + -3088. Calculate the remainder when 2063 is divided by c.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.6 + 1.6. Which is the closest to v? (a) -0.1 (b) 2\/7 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/7*9*29848\/3198?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1118867162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -397a2b (base 12) in base 15?\nAnswer: -13a77b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 - 2)*(2*f + 5 - 5)*(-7*f - 5*f + 2*f) to u*f**2 + t + n*f and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/283926 and 99\/473210.\nAnswer: 1419630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 344 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/(897\/52))\/(-6)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -830*k - 1 + 1 + 2371*k.\nAnswer: 1541*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**5\/7 + 544*c**4\/7 - 16782*c**3\/7 + 45504*c**2\/7 = 0 for c.\nAnswer: 0, 3, 32, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*k + 2632 = -7*k, -2*d + 5*k + 1310 = 0. Let u be (-78279)\/d - 3\/(-12). Let g = -587\/5 - u. Calculate the common denominator of g and -117\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73 - -76. Suppose -5*g + 4*a + 6 = -0*a, 0 = 5*g + 5*a + 30. What is the nearest to g in -0.5, n, 2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m - 13. Let l be a(7). Let g = -26 + 16. Let v = l + g. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 + -62. Suppose -z + 1 = -2*d, 40*d - 36*d = -4. Let u = z - a. What is the greatest common divisor of 210 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/3609 + -147958\/39699. Calculate the common denominator of j and 10\/(-15) + (-26)\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38524*b**3*o**5 - 2*b**3*o**3 - b**3*o**2 - b**2*o - 9*b**2 + 688*b*o**2 wrt o.\nAnswer: 2311440*b**3*o**2 - 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 9346*c\/7 - 1335\/7.\nAnswer: -(c + 1335)*(7*c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 54*d**2 + 112. Let a be b(15). Suppose 311*g + a = 313*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3*r + 3*d + 18, -d - 4 = 0. Suppose -4*b = -r*w + 97, 3*b - 146 = -0*w - 4*w. What is the greatest common divisor of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.3 in 7, 3, -0.01, -302, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 647213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2143.75 litres?\nAnswer: 2143750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 b when three letters picked without replacement from lbdhyddlbd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 451 + 472 = 0. Solve 0 = -2*c + 1 + o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 11:27 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 245.42061 and 40612.5?\nAnswer: 40367.07939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 11*b**6\/2 + 5*b**3\/3 - b**2 - 751*b + 1083. What is the second derivative of h(q) wrt q?\nAnswer: 660*q**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2 + 9 = 2*v, 0 = 5*y + 5. Let m be 2*(9\/v)\/1. Let o(a) = -m*a - a - a. Let n(l) = -l. Determine o(n(d)).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(sqrt(2) + sqrt(2) + 4*sqrt(2)) - sqrt(95)\/(sqrt(5) + (-1*sqrt(5) - sqrt(5))))**2.\nAnswer: 931\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 s, and 1 t when three letters picked without replacement from {w: 1, s: 1, t: 6, p: 1, h: 4, q: 3}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 10*b**2 + b + 10. Let s be a(-10). Let l be 3\/(((-15)\/20)\/(-1)). Solve -4*g - 12 = -s*g + 4*t, l*g = 4*t - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 - 0.8. Let q = -263.9 + 245. Let i = -19 - q. Which is the closest to -2? (a) z (b) -0.2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 85289*a**2 - 13*a - 3403032 wrt a.\nAnswer: 170578*a - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -4.41887.\nAnswer: -1.325661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*0*6\/12. Solve 7*u + 0*u - 7 = f for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1694218873 to the nearest integer?\nAnswer: 1192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b + 45. Give x(-13).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, 3, -1.\nAnswer: -6, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x + 26. Let w(g) = 9*g**2 - 145*g - 5. Give w(j(b)).\nAnswer: 144*b**2 + 1292*b + 2309","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**5\/40 + p**4\/24 - 85*p**3\/3 - 8*p. Let n(q) be the second derivative of k(q). Suppose 0 = 3*w - 2*w + 2. What is n(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42385 less than -42323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -537366, -537402, -537440, -537480, -537522, -537566?\n\"Answer: -h**2 - 33*h - 537332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43*x + 36*x - 1 - 77*x + 60*x**3 + 5 wrt x.\nAnswer: 360*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124318?\nAnswer: 2, 61, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14268, 14272, 14278, 14286, 14296, 14308?\nAnswer: 14322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(833))*-4.\nAnswer: -28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1611c (base 16) in base 2?\nAnswer: 10110000100011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-348)\/(-8))\/(-3))\/((-1)\/2). Let m = c + -29. Solve m = -0*g - 3*g + 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/105690 and 109\/42276.\nAnswer: 211380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j\/(j**(-4\/7)*j))\/j*j*j))\/(j**24\/j))\/(j**11)**(-18) assuming j is positive.\nAnswer: j**(1214\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 2*x**2 + 3*x + 57. What is l(6)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 0*c - c)*(8 + 1 + 1) + (-1 + 1 + 2*c)*(3 - 2 - 2) - 26*c - 18*c + 33*c.\nAnswer: -43*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 221454 bigger than 221453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0634 - -4.7566. Let f = 5.02 - s. What is the nearest to 0.2 in f, -3, 1, -1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 177.959987029 + -177.96. What is o rounded to 7 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52403\/8 - 6550. Let i(b) be the third derivative of 0*b**5 + 3*b**2 + 0*b + 0*b**3 + q*b**4 + 0 - 7\/120*b**6. Find the second derivative of i(p) wrt p.\nAnswer: -42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4047*n**5 - 2*n**4 - n + 16735 wrt n?\nAnswer: 80940*n**3 - 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 138466, 278496, 418516, 558520, 698502, 838456?\n\"Answer: -h**3 + h**2 + 140034*h - 1568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -46. Suppose 0 = -11*o - i + 7. Which is smaller: -7\/6 or o?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -488951, -488930, -488909, -488888?\n\"Answer: 21*y - 488972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 24*z + 45.\nAnswer: 3*(z - 5)*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 488663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14300 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 376810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -m + 1. Let x be -2 + m + (8 - 10). Suppose 4*g + 5*l + x = -1, -4*l = -4*g + 8. Calculate the highest common divisor of g and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6*z**2 - z. Suppose 2*y + 0 + 2 = 0, 2*y + 11854 = 4*p. Let j(k) = 3*k**2 + p - 2963. What is f(j(n))?\nAnswer: 54*n**4 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m + 4. Let u be a(-3). Suppose 0 = -1754*y + 1802*y - 192. Let k be -1*(y + u)\/(-318). Is k smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 640 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: Let y(n) = -n**2 - 11*n + 1. Let f = 6 + -14. Let p be y(f). Let v = p - 4. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(6)*1) - (sqrt(6) - (-1*sqrt(6) + sqrt(6))*-1))\/((-2*sqrt(64) - sqrt(64) - sqrt(64))\/(sqrt(32)*-4 + sqrt(8))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 - -205. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (38 - (1 - -17) - 78)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-8))\/(-13 + (-301)\/14). Sort v, -4, 0.2 in descending order.\nAnswer: 0.2, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 5*k**2 + 4*k - 35. Let c be z(9). Let u be (3 + (-34)\/20)*c\/10. Factor u*a**2 + 13*a + 1.\nAnswer: (13*a + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*s**3 - 10*s**3 - 25*s**3)*(18 - 9 - 8 + 6*s)*(2 + s - 2).\nAnswer: 126*s**5 + 21*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/((-1242)\/135)*(-1)\/5*-22?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3515 (base 7) to base 12.\nAnswer: -8b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*c = z + 34*c - 1554, -4688 = -3*z + 16*c. What is the greatest common factor of z and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 5, -2, 0.11, 1\/5?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 10:32 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*p**3 + 146 - 7*p**3 - 146 + 2*p to the form m*p**3 + j*p + s*p**2 + q and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131, -128, -125, -122?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -5*r + h + 79, 5*r + 4*h = 214. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = h. Suppose 3*z = 7*z - 4. Which is the closest to h? (a) z (b) 2 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -52?\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/(l*l\/l**1*l))*l*l\/(l*l**(-2\/47)))**(1\/32)*l**(-1\/6)*l**9\/l*l**(-5)\/((l**(3\/4)\/l)\/l*l) assuming l is positive.\nAnswer: l**(7241\/2256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from etcateecett. Give prob of picking 1 e and 1 t.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140677634?\nAnswer: 2, 19, 3702043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27480 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14285?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1241 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 3*u**3 + 2*u**3 + 0*u)*(0*u + 2*u**2 + 0*u + (0*u - u + 2*u)*(-3*u + 4*u + u) + u**2 + 3*u**2 - 3*u**2 + 721*u**2 + 759*u**2 - 1232*u**2).\nAnswer: -253*u**5 - 506*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1448189 times -0.2?\nAnswer: 289637.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, s: 3, l: 2, w: 10}. What is prob of picking 1 l and 1 w?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5149*a**6*v + a**5 - a**3*v + a**2 + 30*a*v + 5*a + 44*v wrt a?\nAnswer: 617880*a**3*v + 60*a**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -1, 5 in decreasing order.\nAnswer: 5, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -121126032 divided by 218?\nAnswer: -555624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**3\/11 + 9124304*o**2\/11 - 18248602*o\/11 + 9124300\/11 = 0?\nAnswer: 1, 4562150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47206 divided by 2.\nAnswer: 23603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-59)\/413 + 2\/7)*5.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -12, -692, -1, 5, 1 in decreasing order.\nAnswer: 5, 2, 1, -1, -12, -692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = -12*b + 196 + 52 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -90*l**2 - 4*l - 5. Let s be j(-1). Let c = s + 144. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, z: 4, v: 3}. What is prob of sequence cv?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*(sqrt(171))**2 - (sqrt(684) + 0 + sqrt(684))**2) + (3 + -4*2*sqrt(76))**2.\nAnswer: -7952 - 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 91, 93, 95, 97, 99?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -319, -616, -891, -1144, -1375, -1584, -1771?\n\"Answer: 11*w**2 - 330*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -10. Suppose -3*y = -d + l - 49, -4*d - 2 = y. Calculate the lowest common multiple of 18 and y.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46\/17 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 174186 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 8*b - 15*b + 74*b + 43*b + 74. What are the prime factors of r(7)?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*a + a. Find the second derivative of -8*k**4 - k**3 + k**3 + 11*k**4 - a*k wrt k.\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 2*d - 10. Suppose -5*l + 260 = -d*t - 0*t, 5*t = l - 268. Let a = 39 + t. Which is bigger: -14 or a?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -1652 - 33*d + 1652. Let u(b) = 4*b. Determine u(t(q)).\nAnswer: -132*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/52*(-18)\/5184*-48?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) 1\/3 (b) -0.1 (c) -3.93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 885 - 312. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/8 of a millennium?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 970.\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -221*l**2 + 424*l**2 - 201*l**2. Let g(p) = 3291*p**2. Calculate g(y(r)).\nAnswer: 13164*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8916*j - 1021*j - 7893*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z - 1. Let v(c) be the second derivative of -c**4\/24 - c**3\/6 - 23*c**2\/2 + 14*c. Let l(h) be the first derivative of v(h). Give -5*l(d) + 2*x(d).\nAnswer: d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(9\/5)\/t*(t\/t**(-9\/5)*t)\/t)\/(((t\/(t\/((t**(-5)*t)\/t)))\/t)\/t**7) assuming t is positive.\nAnswer: t**(83\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 1.4?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6210, -12422, -18634, -24846, -31058?\n\"Answer: -6212*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -1.1. Let r = -87.7 - -94. Let j = r + -6.2. Which is the nearest to j? (a) m (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 1164, -5, 1 in decreasing order.\nAnswer: 1164, 5, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(75) + 3)**2 - ((1 + sqrt(3) + sqrt(3))*1*-4)**2.\nAnswer: -4*sqrt(3) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/12)\/(-3*(-7)\/(-42))*(-1242)\/(-9)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 8 + (-75 + -14 + 25 - 1)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 123 - 122.982. Let k = -0.182 - j. What is the fourth biggest value in 4, -0.3, k, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 2*u - 3. Let d be f(-4). Suppose -4*r = -d*i - 15 - 9, 2*r + 4*i + 14 = 0. Calculate the highest common factor of 1 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 1\/4, 8\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 167*p. Let i(z) = z**2 + 3. Let o(a) = -3. Let l(v) = 3*i(v) + 3*o(v). What is n(l(q))?\nAnswer: 501*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/100)\/((-308)\/280).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-4*sqrt(343))**2 + -3 + -1 + 1*sqrt(77)\/(sqrt(110)\/(sqrt(360) - sqrt(10)))).\nAnswer: 20*sqrt(7) + 21936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1087 - 5)*(3 - 2). Suppose -3*r + a = -r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -343 + 342. Which is smaller: -19 or o?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1419297 and 5?\nAnswer: 7096485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/476 and -57\/2524636.\nAnswer: 17672452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 3:23 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 14942 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000032781619 rounded to 7 decimal places?\nAnswer: 0.0000328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3662\/(-14) + 3\/(-7))\/(-2). Suppose -12*u + 13*u = h. Calculate the remainder when u is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 6. Let m be (-1)\/(-2) + (-455)\/v. Suppose 0 = 4*r - 8*r + m. What are the prime factors of r?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 7:04 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -68 (base 9) to base 5.\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 2*c + 4. What is the tens digit of k(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 85, 82, 79, 76, 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v**2 + v**2 - 3*v**2)*(10 + 8 - 5) in the form q*v + y*v**2 + b and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a**2. Let o(v) = 87*v**2. Let l(c) = 18*i(c) - o(c). Let w(r) = 29*r - 1. Give w(l(n)).\nAnswer: 87*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a + 55?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2538, -5070, -7612, -10170, -12750, -15358, -18000, -20682?\n\"Answer: -s**3 + s**2 - 2528*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1458) + -4 + sqrt(1458)*-2 - (sqrt(1458) - (1 + (sqrt(1458) + -1)**2))) + (-6*-5*sqrt(800)*-2)**2.\nAnswer: -108*sqrt(2) + 2881456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 43\/3, 9, 1, 56, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 f, and 1 x when three letters picked without replacement from bfbxxbxxbbxbfxx.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + (sqrt(152) + -2*sqrt(152) - sqrt(152))*5)\/(2*sqrt(128)).\nAnswer: -9*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 883 = -3*h + 18, -3*v + 3*h - 495 = 0. Find the common denominator of ((-8)\/(-100))\/(16\/v) and -39\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7\/134 + 271\/1340. Is j at most 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 1. Let n(p) = -p + 6. Let b be n(5). Let m(g) = 4*g - 19. Let i(d) = b*m(d) + 2*v(d). Differentiate i(j) with respect to j.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*c - 12 = 0, 3*t + 10*c = 5*c - 14. Suppose -3*f = 6, l = t*f - 3*f + 3. Suppose -l*y + 99 + 26 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 6270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b**2 - 12*b**2 + 85*b - 25*b.\nAnswer: -b**2 + 60*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -12. Suppose -5*g + c = -13. Let z be (-1)\/(-1) + (8 - g). Let s(h) = h**2 - 6*h + 4. Give s(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410*d - 486 = 329*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 368015544*p**3 - 136180242*p**2 wrt p?\nAnswer: 2208093264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7\/16, 0.5, 0.19, 2\/125, 4, 2?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 713777 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, i: 13}. Give prob of sequence idid.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -413340 or -1\/35?\nAnswer: -413340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13872767 to the power of 1\/2, to the nearest integer?\nAnswer: 3725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**4 + 1932*x**3 + 24567*x**2 - 26502*x = 0.\nAnswer: -631, -14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/155514 and -7\/3970.\nAnswer: 308695290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 169*r**4 - 7*r**3 - 604*r**4 + 325*r**4 + 4173*r**2 wrt r?\nAnswer: -2640*r - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 - 16. Suppose 4*v - 2*h - 10 = a, -4*h + 27 = 3*v. Let r = v + -7. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43347383621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*a - 11 = 0, -5*n + 27 + 3 = 5*a. Let r be 6*5 - ((-24)\/(-2) - 12). Suppose 0 = 27*g - r*g. Solve g = 3*j - n*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1096, 1120, 1144, 1168, 1192?\n\"Answer: 24*c + 1072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than 6907?\nAnswer: 6910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 33318, 33370, 33448, 33558, 33706, 33898?\n\"Answer: k**3 + 7*k**2 + 24*k + 33286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*y - 2, 0 = i - 2*y - 0 + 2. Let j(g) = g**2 + 16*g + 2*g**i - 15*g. Suppose 2*z + 4 = 0, -2*q + 5*z = -3*q - 9. Give j(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-286)\/(-1573))\/(2\/(-4))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -12. Suppose 3*s - 14 = -4*q, 7 = f*q + 4*s - 5. Solve q*o - 25 = 7*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17701384529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 412743 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -112*g - 2125 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 5*q + 7. Suppose 4*v + 68 - 88 = 0. Determine y(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 865059 to the power of 1\/3, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 12*w - 16 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**3 - 29*w**2 + 14*w + 1. Let o be d(-15). Suppose 8*y = 4*y + o. Solve 0 = -2*z + y*r + 12, 4*z + r = -7 - 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 15*u - 11. What is k(-9)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -9*z**3 - 14*z**2 + 47*z + 6. Let l(d) = -8*d**3 - 12*d**2 + 48*d + 6. Determine 7*l(y) - 6*o(y).\nAnswer: -2*y**3 + 54*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 + -2 + 70 + 2.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 463, -4, 3, 107, 0, 2, 1 in descending order.\nAnswer: 463, 107, 3, 2, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 5:53 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -5) + 11 + (2 - 18)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95377?\nAnswer: 127, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45 - 44 - 24 + 78*q + 86 to l + x*q and give l.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/(-12)*(-8)\/(-3). Let x(h) = -4*h + 1. Let f be x(-1). Let b be y\/(-15)*f*-1. What is the third smallest value in 0.1, b, -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/29)\/((-7)\/14). Let s = r + -68\/145. Which is smaller: 0.1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 - -6)\/(-3 + 0). Suppose -m - m = v, -5*z + 6295 = -4*m. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -88461178?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 354 divide 76846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9, 138, 503, 1224, 2421, 4214, 6723, 10068?\n\"Answer: 20*m**3 - 2*m**2 - 5*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/4)\/((-51)\/136). Suppose -5*f = -3*p + 4*p - 50, -j*p = 0. Let i be (24\/f)\/((-9)\/30). Are i and -8 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - w + 14, s = -5*w + 4 + 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4273, -4484, -4695?\nAnswer: -4906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = -4*g + 383. Suppose -a - 2*a = g. Is (90\/a)\/((-2)\/10) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1271946 is divided by 818?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.286 times 29166?\nAnswer: 8341.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*w - 144 = -150*w + 40*w. Factor 8\/9 + 4\/9*x**2 - 14\/9*x + 2\/9*x**w.\nAnswer: 2*(x - 1)**2*(x + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03325 + 2048.96675. Let b = s - 1971.37. Let m = -82 + b. Round m to 1 dp.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0534 - -1.4534. What is the second biggest value in -4\/57, -3\/5, 0.1, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -63*i + 236. Solve 9 = 3*a, -i*v - 35 = -2*a - 3*a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjwjwwjljjjwj. Give prob of picking 2 w.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81761.\nAnswer: 81761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 14 (b) 5 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3672 + -4. List the prime factors of s.\nAnswer: 2, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*v**2 - 574*v + 574*v to the form z + c*v**2 + l*v and give c.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.091291 - 0.11128. Round m to four decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 127 divided by -7\nAnswer: -127\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 33577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 16*h**2 + 12*h. Let r(m) = -16*m. Give c(r(f)).\nAnswer: 4096*f**2 - 192*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 37602?\nAnswer: -37576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -17 + -18 + 122 - (5 + (-6 - 1)).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -4 + sqrt(343) + sqrt(343)*-2 + 4 + -3)**2 + 5)*-2.\nAnswer: -746 - 140*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 11695728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -185*d + 2. Let c be g(-1). Calculate the greatest common divisor of 17 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/(-4)*(-80)\/35. Suppose f = -2*b + 3*b. Is b\/20 + 416\/10 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*s + 7. Let l = -2.23 + 2.2307. Let u = l + 0.0393. Put 1, s, 2, u in descending order.\nAnswer: 2, 1, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8834)\/(-7) - (-8)\/1. What is the remainder when w\/2 + (0 - -9) is divided by 72?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 23*z**2 - 4*z - 96. Let j be l(-23). Put 382, -2, 3, j in ascending order.\nAnswer: j, -2, 3, 382","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1091*i - 27331 - 1809 = 366*i for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 10126.97, 1\/2, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1854773 + 1854773 + 3*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2930488 to the power of 1\/2, to the nearest integer?\nAnswer: 1712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**2 + 2*t**2 - 3*t**2 + 6*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 610822 - -3729.71.\nAnswer: 614551.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -170, -147, -124, -101, -78, -55?\n\"Answer: 23*m - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7957207 is divided by 114.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13503?\nAnswer: 3, 7, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 12052*w + 0 - 11758*w + 23813*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 4360a14?\nAnswer: 4360a16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 10. Let l be 5 + 17\/(-2) - (-3)\/(-6). What is p(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16369*z + z**2 + 16369*z.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0333499804 to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2. Let a(j) be the third derivative of -j**5\/24 - 2*j**3\/3 + 6*j**2. Let w(p) be the first derivative of a(p). Give w(k(n)).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z**2 - 6*z - 7. Suppose 0 = -57*m + 70*m + 78. Let n(i) = -i**2 - i - 1. Give m*n(j) + g(j).\nAnswer: 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, w: 4, d: 8}. What is prob of sequence wi?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111 + -114. Let b be -1*((4 - 1) + j). Solve 0 = -y - b*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(24)\/sqrt(2)*4)\/sqrt(6).\nAnswer: 2 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8250 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33813*r**2 + 95*r - 95*r.\nAnswer: 33813*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 16\/(-6)) + -2. Let p = -0.67 - -0.37. What is the nearest to 0.1 in 1\/6, p, u?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -619*c - 12380. Determine v(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 9 - 4)*(4 - 5 + 2)*(-4*z - 160 + 160).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 15\/60)*-38*2.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -906, -3644, -8216, -14622, -22862, -32936?\n\"Answer: -917*s**2 + 13*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t + 787*t**2 + 5*t - 9*t.\nAnswer: 787*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + x - 1. Let l(f) = 5*f**2 - 4*f - 15. Let u(n) = -l(n) - 4*o(n). Determine u(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1200\/500*5\/14?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 8*t - 1. Suppose -8*w - 4 = -28. What is d(w)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 329628, 659249, 988870?\n\"Answer: 329621*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19126176 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22 + -5?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*n - 15. Let x = n + -8. Suppose 2*i - 1 - 35 = 0. Solve -2*h = -3*l - 11, -3*l + x*l + i = h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.812342 to one decimal place.\nAnswer: -10.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -3*z**5\/80 - z**4\/16 - 4*z**2 + 2. Let h(y) be the second derivative of q(y). Factor h(g).\nAnswer: -3*g*(3*g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 32 = -4*m, -2*m = m + 5*l - 2. Let u = -1 - m. Let s = 0.17 - 0.37. What is the second smallest value in u, -1\/2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -1811*c**3 - 8*c**2 + 7*c + 10. Give y(-1).\nAnswer: 1806","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 - 58*y**2 - 520*y - 43. What is t(-10)?\nAnswer: 1357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42518378?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25 + 25 + 11*s**2 + (6*s - s - 3*s)*(s - s + 3*s + (0*s - 3*s + s)*(2 + 1 - 5) - 2*s + 4*s - 4*s + 3*s + 0*s - 4*s) + (2*s + 2*s - 5*s)*(1 - 1 + 3*s).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3334)\/16670)\/((10*-1)\/2))\/(-1).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 446 - 342. Let r = 0 + h. What is the highest common divisor of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 1010110011010?\nAnswer: 1010110010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -167*a**2 - 70*a + 99. Let v(p) = 84*p**2 + 35*p - 54. Determine 6*s(t) + 11*v(t).\nAnswer: -78*t**2 - 35*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 2*j + 12, -348*g = -350*g + 2*j - 3*j + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 21542 from 0.08674080718.\nAnswer: -21541.91325919282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -58*k + 121*k - 61*k. Let q(m) = 4*m - m + 3*m. Determine l(q(v)).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -968 by -2.\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 25 = 85. Let k be i\/(-10)*30\/(-12). Suppose -v - 2 = -k*d + 4, 3*v - d = 6. Solve -b = -v*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.1 (b) 5\/2 (c) -8 (d) 5\/9 (e) -6 (f) -0.152 (g) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 6:52 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2\/21, -187 in decreasing order.\nAnswer: 0.1, 2\/21, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0410375 rounded to three dps?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-3 - (3 + -4)) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 150 = 2*p, 0 = -5*p + 2*q + 362 - 9. Let z = p + -63. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(288)*2 + sqrt(2)))**2 - (sqrt(108) - (sqrt(108)*2 - sqrt(108)))\/sqrt(9).\nAnswer: 3\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -5)*1 + -1. Sort 0, p, -1, -4 in increasing order.\nAnswer: -4, -1, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**22\/p*p**4*p**(-3\/4)*p*p**(3\/8) assuming p is positive.\nAnswer: p**(205\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-456)\/(-95))\/((-3)\/(-10)). Suppose 2040 = -5*r + 6*r. Suppose q*v - r = -v. Is v a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -17, 2, 0 in decreasing order.\nAnswer: 4, 2, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (0 - 4) + (32 - 35)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/465 and -127\/930?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95518 is divided by 1403.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 400 divide 2326000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5426 + 10521. Suppose -s + 14175 = 20*q. List the prime factors of q.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rcy when three letters picked without replacement from updyrpc.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157114356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qh when two letters picked without replacement from {h: 2, q: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 5:42 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_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: Is 341329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + k + 104 = 0, -10*k + 11*k = -4*s + 202. Let q(r) = 172*r**2 + 22*r - 1. Let m be q(2). What is the greatest common factor of m and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (2 - (5 - -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8 - 1) + 4\/2. Let r = 9 + k. Solve 1 = -z - r for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 29664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -648 + 6321?\nAnswer: 5562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 160196665\nAnswer: 160196664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 444826951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 12, -10, 3.53?\nAnswer: 3.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07429107 rounded to 3 decimal places?\nAnswer: -0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184009?\nAnswer: 7, 97, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2\/3*l**3 + 0*l + 8\/3*l**2 + 0 = 0?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 132830866?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47545 is divided by 6133?\nAnswer: 4614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -122200212010202 (base 3) to base 6\nAnswer: -533332415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2365015 - 2365015 + 3*t + 2*t + 15*t**2.\nAnswer: 15*t**2 + 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/(-25)*(-1 - -6). Solve h*n - 35 = 5*l, 4*n + 3*l - 36 = 7*l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -343, -700, -1057?\n\"Answer: -357*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.03 * 115491.\nAnswer: 234446.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*b + 2*k, -5*b = -2*k + 7 + 12. Let z be (666\/b)\/((-10)\/5) - 3. What are the prime factors of 1\/(-4) + 20223\/z?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 2:34 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 + -30.9. What is the closest to -1\/3 in b, 1, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13946? (a) 5 (b) -0.4 (c) -6\/7 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -21726.042?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 268 - 265. What is the remainder when 52 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3178*f**2 - 1034*f**2 - 2 - 8232*f**2 to h + q*f**2 + b*f and give q.\nAnswer: -12444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + 1*-1*sqrt(121) + sqrt(121) + (sqrt(121) + (sqrt(121) - 2*sqrt(121)) + sqrt(121))*6)\/((-5*sqrt(110)*3)\/sqrt(10)).\nAnswer: -7*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34 and 1370448.\nAnswer: 23297616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = 1283 + 193. Let s = r - -132. What are the prime factors of 5 - s - 276\/(-3 + 1)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -20. Suppose 0 = 2*b + 8 - 30. What is the remainder when b is divided by (-4)\/6 - 69\/h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25492071, 50984141, 76476221, 101968317, 127460435?\nAnswer: 152952581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/4831159 or 1?\nAnswer: 6\/4831159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96716 is divided by 2429?\nAnswer: 1985","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21929589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36\/1051 - -22901\/331065. Calculate the common denominator of 37\/450 and h.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 0.44?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 6:35 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-6))\/((-1)\/(6\/(-4)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5772 + 0.0772. Which is the nearest to 2? (a) y (b) 1\/4 (c) -2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 864 + -853. Which is the nearest to -2\/7? (a) p (b) -1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -w*x**4 + 19*w*x**3 - w*x**2 + 23*w*x - 59*w - 501*x**4 + 6*x wrt x?\nAnswer: -24*w*x + 114*w - 12024*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 12. Let k be p(21). Suppose -14*d = -k*d - 15. Solve d = -0*i - i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(3))\/sqrt(10) + ((sqrt(8)*-2 - sqrt(8) - sqrt(8))\/sqrt(4))**2.\nAnswer: sqrt(2) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 38*k + 5. Give b(-2).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -432531 (base 6) to base 5.\nAnswer: -2114443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 632797510 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 8*s**2 + 4*s - 27. Let o be d(8). Suppose 0 = -o*a - 5*l + 2*l + 598, 3*a = -l + 358. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-3)\/(-11)*(-240977)\/(-2306).\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2411365*u + 1205698*u + 1205553*u + 3.\nAnswer: -114*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 44\/3*r**3 - 1\/2*r**2 + 17 - 4*r. Is p(2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*12\/30 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -98*k**3 - 3*k**2 + 5*k + 19. Let l be o(-2). Calculate the greatest common divisor of l and 231.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zgwwwcwzzwwzw. Give prob of picking 2 w, 1 c, and 1 z.\nAnswer: 84\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -502 - -491.74. Let d = z - 0.04. Let l = -16 - d. Round l to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53*-3\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) 0.01 (b) 2\/3 (c) 420 (d) 3\/7 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 6*a - 5. Let z be u(-4). Suppose z*y + 2 = -4. Let l(k) = k**2 - 3*k - 3. What is the remainder when 19 is divided by l(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 - -84. Let g = 45 - z. Which is the closest to g? (a) -1 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 980334.\nAnswer: 2, 3, 107, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 734342400 divided by 1631872.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 5:24 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4, -71, -250, -595, -1160?\n\"Answer: -9*o**3 - 2*o**2 + 2*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 155\/(-186) + 41\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m - 1 - 9 + 10.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 69*p - 7*p**2 - 2*p**3 - 71*p + 5 as y*p + j*p**2 + z + i*p**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-104)\/39)\/(1\/(-132)). Calculate the greatest common divisor of 32 and a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 1\/9*t**4 - 3 - 2\/9*t - 2\/9*t**2 + 2\/45*t**5 + 0*t**3. Factor y(c).\nAnswer: 2*(c - 1)*(c + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2700 = 3*q. Suppose 0 = -2*v + 1994 + q. Suppose v = 9*c - c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - u + 4, -4*x = -7*x - 5*u - 8. Is (x\/(-2))\/((-15)\/(-55170)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 5:00 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (5 - (-2 - -8)) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3 + 2189*q**2 - 2187*q**2 + 1.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence od when two letters picked without replacement from {u: 2, d: 1, q: 1, o: 1, i: 7, e: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.5 + 1.5. Let a = -2.97 + s. What is a rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, u: 2, g: 1, p: 2, q: 1, b: 2}. What is prob of sequence qug?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1492504.\nAnswer: 2, 13, 113, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00311131 to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3900630770941022.9999931 - 3900631876713122. Let l = 1105772159 + i. Let j = l - 60. What is j rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 - -60. Let r = -3 + 6. What is the greatest common divisor of f and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*w + 37*w - 4*c + 164, 4*w = 2*c + 656. Calculate the least common multiple of 2 and w.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(175)*1.\nAnswer: -15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -3.4?\nAnswer: -1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -194, 43, 446, 1021, 1774, 2711?\n\"Answer: q**3 + 77*q**2 - q - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -3\/11, -2, 129 in ascending order.\nAnswer: -2, -3\/11, 0.2, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32 or -2890?\nAnswer: -2890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -80 + 86. Let h(q) = 3*q**3 - 13*q**2 + 7*q - 7. What is the hundreds digit of h(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 - ((-32 - 28) + 26).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -77? (a) 28\/5 (b) 56 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 7 + (-1 - 7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*r - 12 = 4*l, -4*l = 4*r + 8. Let u be (0 + 0)*(-2)\/l. Solve g + v = 0, u = -2*g - 0*v + v - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*y**2 + 73*y**4 - 35*y**4 - 36*y**4)*(4 - 20 - 12)*(2*y - 6*y + 3*y).\nAnswer: 56*y**5 + 364*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -0.104 (b) -3 (c) -1\/4 (d) 13\/2 (e) -3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w + 17. Let b be p(-13). Suppose -y = -3*f - 8, 3*y + f = -b + 28. What is the highest common divisor of 2 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u. Let c(s) be the third derivative of 0*s + 0 - 1\/12*s**4 + 0*s**3 + 3*s**2. Give j(c(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*r + 84*r + 290 = 176*r. Solve -p = -4*o - 16, -7*p + r*p + 3 = -5*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 0 + (6 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (144078\/1628)\/(21\/14)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1803*c**4*t - 1296*c**3*t + 2*c*t + 4983724*c wrt c?\nAnswer: -21636*c**2*t - 7776*c*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 4:55 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 1230*y - 91009. Give v(70).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b. Let g(n) be the first derivative of -1081*n**2 + 355. Calculate c(g(p)).\nAnswer: -4324*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.5 - 0.1. Let l = 1.6 + i. Which is the closest to -1? (a) l (b) -5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 1 = 5*k - 5, 4*p = -16 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 2. Let l = g - -0.5. Let x = 2253.3 + -2252.3. Sort x, l, 1\/5, -4 in ascending order.\nAnswer: -4, 1\/5, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -1156?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 15 = 4*a + 11, -21*a = -g - 67 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27608348 a multiple of 912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -240 by -16.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -19*i**2 - 102*i. Let d(r) = 3*r**2 + 17*r. Let a be (-4)\/(2*4\/(-12)). Let s(m) = a*z(m) + 34*d(m). Find the second derivative of s(j) wrt j.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5773 * -29\nAnswer: 167417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -5*u + 4*i - 15, -3*u - 25 = 5*i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 5 - d**2 + d**2 + 3*d. Let q be p(4). Suppose 0 = -5*h - 4*i - q - 100, -h + 4*i - 17 = 0. Find the common denominator of h and -33.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -152.433773 to two decimal places.\nAnswer: -152.43","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1383 is divided by 99?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 6*a. Let c be (20\/6)\/((-2)\/3). Let v be d(c). Let g = v - 6. Let s(n) = n**2 - 1. Give s(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 8:19 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 11*l**2 - 59*l - 69. What is the units digit of x(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 220?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, o: 7}. What is prob of picking 1 h and 2 o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7164 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -2, 12, 42, 94?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(1377) + -2*sqrt(1377))*1 + sqrt(1377)) - (sqrt(1377)*-1 + 4 + 1 + sqrt(1377) + 0))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t + 16. Let b(g) = -4*g + 33. Let x(r) = 3*b(r) - 7*u(r). What is the units digit of x(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7)*q**(1\/4))**(1\/17)*((q*q**(-1\/5))**(-22\/5))**(-36) assuming q is positive.\nAnswer: q**(214749\/1700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*r + 21*r - 27 = 0. Let n = 15 + -13. Let w be (-1 - n\/(-4))*(2 + 0). Is w not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.89 + 6. Let z = f - 2.11. Let s = 0.3 + 0.7. Which is the closest to 0? (a) z (b) 0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.2 - -4.7. Let p = 1406 - 1406.02. Which is bigger: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c - 1. Let g be v(1). Solve q = g + 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.01445319 - 70.98603681. Let k = r + 71. What is k rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 12 = -5*a. Suppose -4*d - 5*h - 3 = 9, -4 = h. Suppose -5*v + 6*c - d*c = -77, 3*v - 27 = -4*c. What is the least common multiple of a and v?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f - 1657 - 2855. Suppose f = 3*q - 165. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 534 and 7732.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 1) + (2 + -2 - 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/84*(406 - 378).\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) + (sqrt(216)\/sqrt(4))\/sqrt(9))\/(-2*sqrt(300)) + 4)**2 - ((-1*sqrt(50) - sqrt(2) - -2*(0 + sqrt(2))) + (2 + -3*sqrt(8)\/sqrt(4))**2).\nAnswer: -299\/50 + 76*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by 13\nAnswer: -31\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/115, 4, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15410672 (base 8) in base 11?\nAnswer: -20002a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -14) + -5 - 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/12878067 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/206765 + 1543181\/40939470. What is the common denominator of 25\/4 and i?\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369245721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p + 3. Let d be o(-4). Let h be ((-2)\/(-16))\/((-10)\/(-10)). Let s = 189 + -195. Which is the nearest to s? (a) 0.1 (b) h (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00393711522 to 4 decimal places.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25904013?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3 = -0. Does 5 divide 6 + (-1 - w - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78 + 280*t - t**3 - 144*t - 134*t - 2*t**4 to the form y*t + p*t**4 + f*t**2 + o*t**3 + x and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2097 * 0.4.\nAnswer: 838.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 305 + 556 = 0. Suppose f*i - 859*i - 16 = 0. Calculate the remainder when 15 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -6*f**3 - 6*f**2 - f + 2. Let l(v) = v**3 + v + 1. Let y be 3\/2*(-8)\/12. Let u(g) = y*o(g) - 5*l(g). Let t be u(-6). Which is smaller: 18 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-35 - -56 - (3 + 5 + 1 + -5)) + -2\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-182)\/(-6)*4002\/9338?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 674.3542085348.\nAnswer: 674.0542085348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -2*w**7\/175 - 9*w**6\/200 - w**5\/50 - 9*w**2\/2 - 28. Let n(m) be the second derivative of u(m). Find r, given that n(r) = 0.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 303, 1073, 2305, 3987, 6107?\nAnswer: 8653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 5:27 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 - 1078570*b - 58165662245.\nAnswer: -5*(b + 107857)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53 + 101. Let i = 31 - 24. Suppose -i*l = 2*l - 153. What is the remainder when d is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(2\/7)*g*g**(3\/8)\/g*g\/(g\/(g*g**(-1\/13)\/g*g))*g**4 assuming g is positive.\nAnswer: g**(4377\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 370786, 370768, 370738, 370696, 370642, 370576, 370498?\nAnswer: 370408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = a + 11, 0 = -2*o - 0*a + a + 25. Suppose -26 = -5*p + o. Let v = -4 + p. Solve v*n - q + 17 = -n, -q = -3*n - 11 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-7) - 117\/(-63). Suppose 4*o = -4*z - 24, w*z = o + 6*z + 15. Which is bigger: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 39*m**3 + 5*m**2 - 4*m. Let v(b) = -b**3 + 18*b - 9*b - 8*b. Let d(t) = i(t) + 4*v(t). Determine r, given that d(r) = 0.\nAnswer: -1\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (55\/4 - 2)*-4. Let u = 42 - q. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131438, 262922, 394452, 526034, 657674?\nAnswer: 789378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ttttwtwttttwtwwt?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -1 - -16)*1. Suppose -2*r = r + 4*i - 25, -2*i + t = 2*r. Calculate the least common multiple of 7 and r.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 - (-9 + 97 + -4 + -22)\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3\/47 + 417\/94. Let y(i) = -i - 6. Let u be y(-10). Let z = u + 2. Which is greater: z or j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-490)\/14 - (-480)\/18) + -1 + 1.\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1198.\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*m**3 + 2\/5*m**2 - 2\/5*m**4 + 2\/5*m + 0.\nAnswer: -2*m*(m - 1)*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3\/5)\/h)**(-33)\/(((h**(-3\/5)\/h)\/h)\/(h*((h\/((h\/h**(8\/7))\/h))\/h)\/h*h)))**(-39\/4) assuming h is positive.\nAnswer: h**(-39273\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 510228116 to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4 - 9*t**3 - 7*t**2 + 9*t + 8.\nAnswer: -(t - 1)*(t + 1)**2*(t + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 856796 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 209 and 54872.\nAnswer: 603592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -145*b + 94*b - 83*b in the form o + t*b and give t.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/20 and 41\/150280890.\nAnswer: 300561780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-2 - -3) + 5 - -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*o = 0. Let i be (-2 - o)\/(-2 + 3). Let n = 14 - 73\/5. Is n at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1720)\/16)\/(((-5)\/(-2))\/5). Let d = 222 + z. Let c = 0 - -1. Solve 0 = -2*i + 3*g - 12, -2*g + c + d = -3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -34, 7, -5, -2 in increasing order.\nAnswer: -34, -5, -2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 49615735919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4131125556 - -1?\nAnswer: 4131125560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/2 - 99368513*t + 9874101375831169\/2.\nAnswer: (t - 99368513)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 230241378 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.786 - 1.519. What is r rounded to 1 decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*i)*(-10425*i**2 - 3 + 3 + 13450*i**2).\nAnswer: 6050*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is beaa - -45e9?\nAnswer: 115a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 13 - 47 - -32.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*(5\/(-2))\/(-5). Suppose b*d + 46 = 58. Suppose d*v = 4*p - 8, -8*p = 5*v - 3*p + 40. Are -4 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g**2 + 150*g + 75. Let s be c(-37). Sort 0, 2, 3, s.\nAnswer: 0, s, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of w**4\/4 - w**2 + 2*w - 7. Let t(l) = 4*l**3 - 7*l + 7. What is -7*n(q) + 2*t(q)?\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 110465339861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1*-1)\/((-2)\/(-434)). Let v = -146 - k. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 604.49542 to two dps.\nAnswer: 604.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/56 and 43\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*s = -458*s + 107*s + 7959 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1956\/180 - (326\/(-4401) - (1 - 74\/270)). Factor -55*l - y*l**2 + 50\/3.\nAnswer: -5*(l + 5)*(7*l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 4*i + 2. Let r(v) = 6*v**2 + 14*v + 4. Let b(u) = -5*u**2 - 13*u - 3. Let x(d) = 7*b(d) + 6*r(d). What is -7*w(g) + 4*x(g)?\nAnswer: -3*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - -1010122?\nAnswer: 1010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*sqrt(208)*-4)*4 + 0.\nAnswer: -128*sqrt(13) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2 = 4*u - 7, -2*c - 10 = 3*u. What is the units digit of (-3)\/(9\/(-48)) - u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 times 1088\nAnswer: -1196.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11676 divided by 3?\nAnswer: -3892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 22529.8*0.07\nAnswer: 1577.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1380 (base 11) to base 12\nAnswer: -1046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-18) + (-88)\/(-9) + -6. Solve -5*g = -5*w + 19 + 1, -w + i*g = -1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -208 divided by -8\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jij when three letters picked without replacement from jimiiiijmiijimmmm?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 2*s + 1. Suppose 7*h - 9*h = 2. Let n(w) = -12*w**2 + 12*w - 6. Let a(b) = h*n(b) - 6*i(b). Let o(r) = -r. Give o(a(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86955*y**4 - 312*y**3 - 3*y**2 + 33*y - 92189?\nAnswer: 1043460*y**2 - 1872*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 6 = -o, 3945*o - 3950*o = 3*n + 24 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 28, -113 in ascending order.\nAnswer: -113, 9, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 106127717 to the power of 1\/2, to the nearest integer?\nAnswer: 10302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + z + 1. Let o(h) = 3*h + 13. Let r be o(-4). Let b(f) = 12*f**2 - 9*f - 9. What is r*b(v) + 9*t(v)?\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28063*f**2*i**2 + 996343*f**2 - 6*f*i - 2*i**2 wrt i?\nAnswer: 56126*f**2*i - 6*f - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k. Let y be b(1). Let i(j) = -y*j + 8*j - j - 4*j. Let m(o) be the second derivative of -o**3\/3 + o. Calculate i(m(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/7 + 11*p**2\/7 + 12*p\/7.\nAnswer: -p*(p - 12)*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 951323.1 millennia?\nAnswer: 951323100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, o: 6, q: 5, l: 1}. What is prob of sequence qq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1306000\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24116 is divided by 1722.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(0 + 8)*-2. Put 2, s, 26, 1 in decreasing order.\nAnswer: 26, 2, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 62*h - 12. Suppose -4*n = -6 - 6. Suppose -5*u - n*t + 10 = 0, t - 6*t = 25. Is o(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38364811 times 0.7?\nAnswer: 26855367.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 2267*n = -2263*n + 19, 3*n + 18 = 6*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(65) + sqrt(65))*-3)\/(sqrt(125)*-2 - sqrt(5)))**2.\nAnswer: 117\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 40 and 137515.654.\nAnswer: 137555.654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6517719ml in litres?\nAnswer: 0.0006517719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 4\/11, 17793, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 492191.\nAnswer: 7, 70313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2007578304 divided by -4?\nAnswer: 501894576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 51 = 366. Let v = w + -12. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**19)**(-5\/8)*s**(-23\/3)*s*s\/s**(12\/5)*s assuming s is positive.\nAnswer: s**(-2273\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -11*u + 5*u. Let w(t) = -t**2 - 2*t + 5. Let x be w(u). Factor 1\/6*v**x + 1\/6*v - 1\/6 - 1\/6*v**3.\nAnswer: -(v - 1)**2*(v + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3493 + 3491 + 0*q**2 - 5*q**3 + 2*q**4 - 2*q**2 to b*q**3 + s*q**2 + m*q**4 + u + d*q and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*i + 5153399*i**2 - 5153402*i**2 + 10*i**3 - 11*i.\nAnswer: 10*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 1233, 4, -1 in decreasing order.\nAnswer: 1233, 5, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.3 + 3.3. Let y be (-16)\/7 - 9\/(-18)*4. Suppose l - 3 = 0, -2*w - 5*l = 2 - 11. Which is the closest to y? (a) s (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 y, and 1 f when three letters picked without replacement from {m: 4, y: 4, f: 1, h: 5, w: 5}.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4262*h**3 - 4262*h**3 - 30*h**4 - 8*h**4 - 2*h**4 + 8*h**4 + (0*h**2 + 0*h**2 + 2*h**4)*(3 - 6 + 1).\nAnswer: -36*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1915, -4071, -17939, -39695, -69345, -106895?\nAnswer: -152351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 50\/7 of a week?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 2*q + 10, -4*q + 4*w = -48 + 20 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5862*b**2 + 19*b - 161 wrt b?\nAnswer: -11724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 7*t - 7. Let x be v(-4). Solve x*o = 36 - 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 716477.\nAnswer: 716477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2589085 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mib when three letters picked without replacement from bmxxiiixbbxmx?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o - 2*o - o + (-4 - 3 + 17)*(-23*o - 61 + 61).\nAnswer: -233*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 2, a: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 212831911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -260*t + 2082. Let w be j(8). Let u(v) be the first derivative of 17\/3*v**3 + 22 - 17\/2*v**w + 0*v. What is the second derivative of u(x) wrt x?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**4 - 1302*d**3 - 189216*d**2 - 9331200*d - 17915904.\nAnswer: -3*(d + 2)*(d + 144)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3948*i**2 + 18778*i**2 + 6542*i**2.\nAnswer: 29268*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111034976 is divided by 8293.\nAnswer: 8292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75037461?\nAnswer: 3, 271, 92297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -7.65 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 968*p + 2 + 0 - 15*p**2 - 968*p.\nAnswer: -15*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 17 - 3 = 0. Solve a + 4*i = -0*a - 2, -3*a + i = -w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7\/19 + 17\/57. Let t = 0.47 + -0.5. What is the nearest to f in t, 2\/7, -3\/8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2733, -4, 37, 1, 0, 81 in decreasing order.\nAnswer: 81, 37, 1, 0, -4, -2733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 5*s - 50, 0*s + 1 = s + 6 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 91943098 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 34969621 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1978393 is divided by 7010?\nAnswer: 1573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40315\/29 - -240442807\/172956. Find the common denominator of r and 67\/20.\nAnswer: 29820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3 = -4*i. Suppose -2*t + 0*t = -3*x - 129, 5*x = -i*t + 203. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4 + (2 + (sqrt(612) - sqrt(612)*2) + 0)*-4 + 3)**2*-2.\nAnswer: -19582 + 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1100))*-6 + (0 + sqrt(1100))**2 + 3.\nAnswer: -60*sqrt(11) + 1103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y - 29*y - 15 = 0, -a = -4*y - 14. Suppose -4*d**4 + 22*d**2 - 1088*d**5 - 24*d + 1090*d**5 - 2*d**4 - a*d**3 + 8 = 0. Calculate d.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 5*t - 7 + 2, 0 = 5*l + 3*t - 7. Let k be 1\/(4\/(-6) - l\/6). Is 221 + (3 - 0) + k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/3)\/b**(-1)*b\/(b*b**(-7))*b*b**(-1\/10) assuming b is positive.\nAnswer: b**(247\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/1585352 and 37\/342?\nAnswer: 271095192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 372384 by 14.\nAnswer: 186192\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*y - 12364 = -4*x, -5*x + 3091 = y. What are the prime factors of y?\nAnswer: 11, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34*(-27)\/4131*(-6)\/4)\/((-2)\/(-14)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 1. Let i(u) = -47*u + 2. Let x be i(w). Round x to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(144)\/(-2*sqrt(12)*-4).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -147 + 203. Suppose 560 - b = 2*p. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, 4, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 10*o. Let w(v) = 3*v. Suppose 3*x - 2*y + 11 = 58, 5*y - 10 = 0. Suppose -9 = -5*c + 2*c + 3*q, 4*c = -q + x. Give c*n(f) - 11*w(f).\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2482 or 0.1?\nAnswer: 2482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.3 (b) 5 (c) 2 (d) -507\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 5, -3, -2\/277, 2\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 132*p**2 - p + 1. Let n be g(1). Let m be ((-31)\/(-3) + -12)*(-12)\/5. Let c be 2268\/n - m\/22. Solve -c = -5*z - 3*t, -5*z = 2*t - 19 + 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5, -30, -73, -134, -213, -310?\n\"Answer: -9*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 9:01 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 603 - 600. What is the smallest common multiple of 161 and p?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**3 - 52*l**2 - 113*l - 362. What is the hundreds digit of i(-32)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -208 + -203?\nAnswer: -40b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -47*n**2 + 1. Let y(k) = 17*k - 5. Let r(l) = -17*l + 6. Let x(s) = -5*r(s) - 6*y(s). Calculate v(x(o)).\nAnswer: -13583*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 3. Let b be (3 - (1 - 2))*-33. Let d be 1\/(-4) + b\/(-16). Let h = d + -13. Give k(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/22*(-40*(-2)\/8)\/(-21).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -5*g + 20, 5*g = 4*i - 15 + 36 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2*u + 3 - u - 2*u + u + (-3*u - 2*u + 4*u)*(0 - 1 - 2))*(-5 + 1 + 3)*(0 - 1 + 3)*(-36*u - 6 + 39*u + 4) to f + z*u**2 + q*u and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21664496.\nAnswer: 2, 7, 193433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -377. Suppose 3*j - 136 + h = 0. Let g = 77 + j. Solve 2*q - g*t + 12 = -7*t, -5*q + t = -24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119348.\nAnswer: 2, 29837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -510?\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m + 13. Let n be w(-17). Let i be -3*2 - (37 - n). Solve -9*b - 3*q - 21 = -i*b, -2*b - q - 8 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186716, -186718, -186722, -186728, -186736, -186746, -186758?\nAnswer: -186772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, r: 3, c: 3, o: 1, t: 5, h: 1}. What is prob of picking 2 t and 1 h?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((4 - 2) + -2)\/2. Suppose q*r = -r + 35. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 10*x**2 - 2*x - 24. Let p be c(-10). Calculate the least common multiple of (-89)\/p + (-2)\/8 and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, o: 4}. What is prob of picking 3 o and 1 h?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 167 + -145. Let j = 23 - f. Which is greater: 1\/18 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10 + -2 + 0 + -3. Suppose l*m - 6 = -3*d, 2*m + 4*d + 6 + 0 = 0. What is the remainder when 1 + 4\/(-3) + (-7025)\/(-843) is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*r - 3*r - 3*r)*(-2 - 1 + 5)*(117 - 399 - 544 - 620) in the form q + i*r and give i.\nAnswer: 2892","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14.8 and -82.4519?\nAnswer: 97.2519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 + 4*f - 1. Let z be q(-3). Let s(w) = 10*w - 22. Let g be s(z). Suppose 2*x - 2*a = g, -x - 5 = -2*a - 23. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 476 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 6)*(1 - 4). Let p = w - -5. Suppose -3685*f = -3689*f - 40. Sort f, -1, p.\nAnswer: f, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**5\/11 + 2284*u**4\/11 - 40558*u**3\/11 + 105716*u**2\/11 - 67440*u\/11 = 0.\nAnswer: 0, 1, 2, 15, 1124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 5 = -2*t. Suppose 0 = -3*o - 0*o. Solve -x = -i - t, 5*x - 3*i - 25 = -o*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 6, 2, 14, 48?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**3 + 28*c**2 + 20*c - 9. Suppose -4*d + 5*l = -15 - 52, 2*d = 2*l + 34. Calculate the remainder when s(-13) is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/50 or -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 72*h**2 - 274*h - 49. Calculate r(68).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 59177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*d - b + 1, 5*d - 25 = -5*b. Suppose 5*j = 4*s + 37 + 9, 0 = -d*s + 2. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 + -69 + (18 - 3) - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11227.83 - -11273. Let s = 2.07 - m. Round s to zero decimal places.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a day in seconds?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -28. Let a = g - 7.83. Round a to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 6 - 4*x + 28 + 13. Let w(i) = i**2 + 4*i - 241. Let z be w(-18). Let c be r(z). Put -2, -5, 0, c in decreasing order.\nAnswer: c, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 + 4)*(-4*u + 4*u + u) + 0 + 0 + 2*u + (12 - 12 - 6*u)*(0 + 0 - 4) to v*u + m and give v.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 6*h**2 - 3*h + 3*h - h + 2*h**3 + 12*h**2 - 30*h**2 to the form i*h + z*h**3 + d + x*h**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/801 and -1\/534.\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*c + 2. Let j be c\/5 + (-48)\/(-10). Let a(s) = -s**2 + 5*s + 6. What is a(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3379513 to the power of 1\/2, to the nearest integer?\nAnswer: 1838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -1) + (5 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) 0.5 (c) 5\/2 (d) 8\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**3 + 33*j**2 + 988*j = 0.\nAnswer: -19, 0, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15.78 - -749.78. Let z = 704.025 - p. Let o = -30 - z. What is o rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 8*q**2 - 25*q + 135. Give y(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - 23 - (0 - 1 - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3849443*t**2 + 875180*t**2 - 2486495*t**2.\nAnswer: -5460758*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 c, and 1 l when three letters picked without replacement from cccncxxddclwl?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -11*i + 22. Let z(q) = 2*q**2. Calculate z(b(o)).\nAnswer: 242*o**2 - 968*o + 968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2540 - 870. Is j bigger than 1670?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o - 33. Let s = 759 + -771. Give x(s).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -101011111010011100?\nAnswer: -101011111010011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 9 = -3*g. What is the remainder when (1 - 4)\/((33\/143)\/(1\/(-1))) is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.3311064 to three dps.\nAnswer: -9.331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mxmp when four letters picked without replacement from mmpmxmpmmmxppmxppxmm?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2\/3 + 70*p - 1360\/3.\nAnswer: -5*(p - 34)*(p - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -93.05287 rounded to one decimal place?\nAnswer: -93.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**2 + 158064*s + 3123028512 = 0 for s.\nAnswer: -39516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -465 + -191?\nAnswer: -616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 10. Let b be y(4). Let r be b - (1 - (-2 + -1)). Find the third derivative of -2*u**r + 61 - 61 + u**5 wrt u.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*r - 23 = -8*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -2903 and 7888483.4355.\nAnswer: 7885580.4355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q + 634 = 655 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**7\/5040 - k**6\/48 + 23*k**5\/60 - 15*k**2. Let z(g) be the third derivative of u(g). Let o be z(18). Solve 2*l = o*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/5))**45\/((x**(-1\/8)\/x)\/(x*(x*x\/(x\/(((x\/(x*x**(-6\/5)))\/x*x)\/x)*x)*x)\/x)) assuming x is positive.\nAnswer: x**(813\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 16204804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -17, -26?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.889258 nanograms to kilograms.\nAnswer: 0.000000000002889258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1668*v - 6670*v = -230150 + 50078 for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -38, -295, -724, -1325, -2098, -3043?\n\"Answer: -86*v**2 + v + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 a when three letters picked without replacement from {n: 1, w: 1, a: 2}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.52 - 16. Let d = -0.02 + u. Let s be (-1)\/2 + (-13)\/(-14). What is the third smallest value in -1\/4, d, s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 1\/4, 35485.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -24*t - t + 44*t**2 - 32*t**3 - 68*t**2 + 1 + 33*t**3. Give r(25).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 55198214\nAnswer: 11039642.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -5*d + 4*c, -4*d + 42 = -4*c + 2. What is the remainder when 17 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 9:46 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -656 - -719. Suppose -31*a - 264416 = -i*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*q**2 + 0*q**2 - 4*q**2)*((3 + 3 - 7)*(3*q - 3*q + 2*q) - 3*q + 0*q + 6*q)*(-197 + 99 - 165) to the form d*q + g*q**2 + b + i*q**3 and give i.\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/3)\/t**(-3\/2)*(t**(1\/5))**(-7))\/((t**(1\/3)*t)**11\/((t**(-3)\/t)\/((t*t\/t**(2\/5))\/t))) assuming t is positive.\nAnswer: t**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-2))\/(4\/(-152)). Which is smaller: i or 20?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1498, 1490, 1482?\nAnswer: 1474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.37 - -3.45. Which is the closest to 2? (a) -1\/2 (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5043 + -5016.7. Round r to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 81*f + 1140 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 1. Let i be (k\/(-70))\/((-5)\/(-50)). Sort 2, i, 3.\nAnswer: i, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.29 and -11.\nAnswer: -3.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 250733*n**3*v**3 - n**3*v**2 + 1431*n**2*v**3 + 24*n*v**2 - v**3 wrt n?\nAnswer: 1504398*v**3 - 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 207 - 1?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261890864 is divided by 65472712?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 4*q - m + 5197, 4*m = 4*q - 4148. Is 23 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24208 is divided by 551.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24*(-2)\/((-16)\/(-6)). Let q = z - -24. Suppose 0 = -0*j - q*j + 42. Calculate the remainder when 13 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18689067?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**3 - 12*y**2 - 10*y + 4. Let o(p) = p**3 - p**2 + p - 1. Let q(l) = j(l) + o(l). Is q(-13) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lclm when four letters picked without replacement from pjpcupppppcpllcpppmp?\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -2 (b) -4 (c) 7 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -243 (base 6) to base 7\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h + 7*h - 4*h)*(3*h + 0 + 0) to c + x*h + v*h**2 and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*u + 326 - 333 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 55 = 3*h. Let o(y) = -y**3 + 6*y**2 + 5*y + 14. Let r be o(h). List the prime factors of 4\/(-14) - r\/14.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 273376388 and 2958?\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*r - 12, -3*r = -n - 10 - 8. Let f = r + -9. Let k(b) = 5*b**3 + 5*b**2 + 4. Let s(t) = 4*t**3 + 4*t**2 + 3. What is f*k(z) + 4*s(z)?\nAnswer: z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**2 + 156*k = 0. Calculate k.\nAnswer: -52, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1416181093 to the nearest integer?\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 23 = -k. Put -7, 8, k in decreasing order.\nAnswer: 8, k, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-7)*7*(-2)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 20*d - 92. Let h be r(-12). Suppose -5*t + 6642 = -z - 22878, -5*z - 147516 = -h*t. What is z rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebxxembmxnxmexnxex. Give prob of sequence bn.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/(-36))\/((-6)\/(-9)). Let r = -2 + f. Find the common denominator of -33\/20 and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 5*o - 75. Suppose b + 5*t = -0*b + o, 5*b = 4*t - 12. Is 10 a factor of 1 + 2 + 35 + b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -231*x**5 - 4*x**4 - 1324*x**2 - 2528441*x wrt x?\nAnswer: -4620*x**3 - 48*x**2 - 2648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321*g - 35 = -316*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30.1 - 30. Let v = 9.7 - 10. Let h = v + 0.3. Which is the closest to h? (a) l (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -270 + 270.2. Let s = 1 - 6. Which is the closest to 2? (a) r (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + j + 11 = 0. Find the common denominator of (-5)\/11 - (j - 11) and (6 + -1)\/((-4)\/(-38)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -991640, -991681, -991722, -991763, -991804?\n\"Answer: -41*h - 991599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.298939 and -667?\nAnswer: -199.392313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/45*-1*3*(-161)\/(-161).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**2 - 2615*c + 13061. Determine h(5).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 1. Let h be 6\/((-48)\/(-20))*-12. Let q = h - -33. Give p(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 30617908.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((-4)\/3*(-6)\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-85)\/5)\/(1\/(-6)). Suppose 3*d + 0*d + g = 0. Let i = 69 + d. What is the highest common divisor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36100562*x**3 - 2 + 182089*x**3 + 2.\nAnswer: 36282651*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*r = 4*r + 720. Which is the second biggest value? (a) r (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391871?\nAnswer: 31, 12641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 1:10 AM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by -7\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307982 is divided by 489.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.156221 kilograms in grams?\nAnswer: 3156.221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 9 = 2*c, -5*l + 61 = 2*c + 16. Let q be 4\/(-10) + (-2)\/(-5). Let i = 9 + q. Calculate the highest common factor of l and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8613 + -0.1?\nAnswer: 8612.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15686 + 16945. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, d: 4, e: 8}. What is prob of sequence le?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 12:13 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 44.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 13*q - 9. Let g be p(6). Differentiate 203*d + 10 - 231*d - g with respect to d.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -355? (a) 0 (b) 1\/34 (c) -0.045\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1109 + 0.110926. What is a rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18688 divided by 18688\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 5*u**2 - 4*u + 5. Let w(b) = -b + 2. Let l be w(2). Let q be l\/(-2) - (7 + -3). Let x be r(q). Solve 0 = -x*a - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 144068282*q**2 + 25*q - 3942945?\nAnswer: 288136564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*x + 49904 = 0, -124728 = -9*y + 4*y + 2*x. What are the prime factors of y?\nAnswer: 2, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l - l + l)*(1 - 4 + 1 + (-1 - 5 - 1)*(-6 + 2 + 3))*(-2*l + 7 - 7) to the form f + t*l**2 + y*l and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 120 = 4*n. Suppose 0 = j + 4*j - 3*s - n, -2*j + s = -9. Solve 2*c = -j*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/5? (a) -2\/9 (b) -5 (c) 48887\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4560 divided by 912.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1051, 2109, 3167?\nAnswer: 4225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -82637, 13, -5 in ascending order.\nAnswer: -82637, -5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -74, 16 in descending order.\nAnswer: 16, 3, -4, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 4*a - a + 6, 2*u - a = 2. Let g = -437 - -440. Suppose u = 5*o - g*l - 313, 5*o + 2*l - 50 = 283. List the prime factors of o.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001434 to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.69 + -5.29. Let h be (-2)\/5*5\/1. Let q be 2\/(-12)*-14 + h. Which is the biggest value? (a) q (b) 0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/6 + 123\/18. Suppose a*l - 5 = 2*l. What is the remainder when 2 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 276755547 and 717?\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 - -38. Let v be (-75)\/(-27) + 6\/27. Suppose v*c - 125 = -95. Calculate the smallest common multiple of c and t.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40326545 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 3*q + 17. Let w be p(4). Suppose 19*h = w*h + 480. Does 40 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3791 is divided by 165?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14476?\nAnswer: 2, 7, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(2*(-6)\/8). Let t(x) = -x**2 - 2*x + u*x**2 - 2*x**2. Is t(4) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 0*i - i + 3*i + 4*i - 6*i + 3*i - 2*i + i + (-4*i + 2*i + 3*i)*(5 - 3 + 0) - 4*i + 2*i - 4*i)*(4 - 6 + 10).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -8*q + 5*q + 2*x, 3*x = 6. Let f be (q + 36\/10)*5. Suppose f*j = 49 + 11. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18*(-1 + (-16)\/(-12)). Suppose 0 = -w*f - 13 - 5. Let u be 3 + f*(-2)\/(-6). Let y(n) = 3*n + 2. Give y(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3\/13)*g)\/g**(-14))**(-22)*(g\/(g*g**2\/g*g))**(-21)\/(((g**8\/g)\/g)\/(g**(-5)*g*g)) assuming g is positive.\nAnswer: g**(-3795\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 112296707 to the power of 1\/3, to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**4 + 60984*x**3 + 6189390*x**2 + 12195816*x + 6067413 = 0.\nAnswer: -99, -1, 20429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(18\/15) + 1\/6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5626928, 11253849, 16880770, 22507691, 28134612?\nAnswer: 33761533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.4 (b) -4 (c) 0.3 (d) 7.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*n = 3 + 9, 3*n - 9 = 0. Suppose 3*o - 10 = o. Suppose v = o*h - 2*h. Solve d - h*d - 3 = x, -3*x = -4*d - 26 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4*n**3 + n**2 - 2*n - 1. What is x(-2)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 41. Let i(b) = -b**3 - 5*b**2 + 6*b. Let r = 9 + -15. Let f be i(r). What is the remainder when t(f) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-10)\/(d*d**16))\/((d\/(d**(-2)\/d))\/d)**(-6\/7) assuming d is positive.\nAnswer: d**(-171\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and 2.818.\nAnswer: 0.02818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y - 182. Let k be c(36). Suppose 3*d - 15 + 6 = 0. Let j(i) = -6 + 3*i**3 + i**3 + 4 - i**2 - 6*i**d. What is j(k)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382 is divided by 198?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2)*(4*f - 2*f + f)*(-4*f**2 - 428*f**2 + 2113*f - 2114*f) in the form z*f**3 + n + i*f**2 + u*f and give z.\nAnswer: 2592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 + 3*m**2 + 2*m**2 - 9*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -255 + 162. Let c be (-2)\/11 - t\/(-33). Let k = c - -12. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2104491 to the nearest integer?\nAnswer: 1451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 + 21*k**3 - k**2 - 7*k**3.\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 11:11 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -23943739 divided by 7\nAnswer: -23943739\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -32*f - 57. Let j be (-6)\/2 - ((-10)\/(-2))\/5. Calculate the remainder when 84 is divided by q(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(500) + sqrt(500))*4)**2 - sqrt(500)) + (sqrt(500) - (-6*(sqrt(500) + -1*sqrt(500)))**2) + -3.\nAnswer: 31997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2 + 3 = 0. Put g, 0, 2 in descending order.\nAnswer: g, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -108309*c**2 + 10*c - 34565 wrt c?\nAnswer: -216618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 a when two letters picked without replacement from atldlladatal?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14760632.99999996 + 14760628. Let b = 5 + y. Round b to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 78 = 9*m - 126 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -274\/7 - -286\/7. Find r, given that -4\/7*r**2 - 8\/7*r + g = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 4*v = 3*d - 6, -5*d - 3 = -v. Solve -z - v = 2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001072515 to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 1)*(-2*l - 4*l + 4*l)*(-120 - 24 + 50) to c + x*l and give x.\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u. Let z(o) = 18*o + 17 + 7*o - 35*o. Let s(w) = 6*m(w) + z(w). Is 3 a factor of s(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**3 - 3*p + 5*p - p**2 - 42682*p**4 + 42680*p**4 as v*p**3 + t*p**4 + r*p**2 + w*p + b and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 7*p + 5. Let c be i(-7). Suppose c*k = -4*z - 7 + 93, -2*k + 41 = -5*z. Let n = 3 + k. What is the remainder when n is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 448 + -17a333?\nAnswer: -179bb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shhhgsxhthste. Give prob of sequence seg.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 47097290 greater than 47097285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/6)\/(-5)*2. Find the common denominator of -57\/40 and -5 + v - -1 - (-95)\/(-684).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/112 and -37\/21?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 2.04. Suppose 0*i - i + 11 = z, 0 = z + 5*i - 31. Let s = -6 + z. Which is smaller: s or r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/136*(-140)\/105.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 2)*(0*i**2 + 4*i**2 - 17*i**3 + 26*i**3) as f*i + h + d*i**3 + n*i**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/2 + -3\/14. Let h = 38.3 - 38. What is the closest to j in h, 5, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 17122?\nAnswer: 154098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 88*r**6 + r**5 - 698*r**3 - 14483*r**2 + 3*r.\nAnswer: 10560*r**3 + 60*r**2 - 4188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -40*k - 914. What is m(-23)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(3 + 1 - 10)*(-2*q - q + 4*q).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + b. Let c(q) = -6*q**3 - q**2 - 7*q. Give c(n) + 2*s(n).\nAnswer: -6*n**3 - 3*n**2 - 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9d6 + -271?\nAnswer: -c57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*d = -11, 3*d - 8 = d. Suppose -v - u = -0*v, -2*z = -v - 3605. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -13011*y + 845694. Calculate z(65).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 855725?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*((-2)\/((-56)\/(-2)))\/(-1)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -989.4 + 989. What is the third biggest value in i, -0.5, 5\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 134764 and 2296.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 10 = -2*z, -13*f + 14*f - 6 = z. Let w = 2 - 2. Is (24 - w\/(-2)) + f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 691058 is divided by 146.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(5\/2))**(3\/23)\/(((j**(1\/16)*j)\/j)\/j**(-1)) assuming j is positive.\nAnswer: j**(-271\/368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 21*p + 35. What is u(-15)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/80969 and 17\/86?\nAnswer: 161938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**2. Let p be a(-1). Suppose -9*k + p*k = -132. Suppose 0 = 3*u - 5*f - k, 46 = -0*u + 5*u + f. Solve u = 3*h, 4*z + 5*h = -z - 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77 (base 9) to base 15.\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 3 = 3*k, 2*k + 12 = -3*w + 14 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5*f + 6 = -49, 5*f = 2*z - 29. Suppose 4*h - x - 11 = z, -x = 3. Let k(c) = 7*c - 5. Let q(b) = b. Let d(w) = k(w) - 4*q(w). Give d(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*t - 183*t = 48. Suppose 3*c + 3 = t, 15 = -2*s + 5*c. Let h = 73\/15 - 1724\/345. Which is bigger: s or h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6474, 7444, 9062, 11328?\nAnswer: 14242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 14. Let y be s(9). Suppose 2*x - 6 = 2*d + 6*x, 2*d + 9 = -y*x. Solve d*a - 3 + 0 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 62.81404 years?\nAnswer: 0.06281404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**3 - 2*k + k**3 + 7*k**3)*(0*k + k**2 + 0*k).\nAnswer: 5*k**5 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -5, 7, 19, 25, 19, -5?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.313 - -0.013. What is the biggest value in -2\/7, 3, w, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*a**2 - 34*a**2 + 2*a**2)*(-7 + 7 + 5*a).\nAnswer: -290*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/(r**(-4)*r))**(10\/13) assuming r is positive.\nAnswer: r**(60\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/660)\/((-3)\/(-36)*2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m + 17*m + 4*m as l + u*m and give u.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-2\/11)*c*c\/c**(-1\/5)*c)\/((c*c**(-2\/7))\/c*c*c)**(2\/5)*((c**(-1)\/c)\/c)**5*c**1*c*(c\/c**0)\/c assuming c is positive.\nAnswer: c**(-3582\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98104 is divided by 3164.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 b, 1 o, and 1 z when four letters picked without replacement from {o: 1, u: 1, r: 1, b: 2, y: 1, z: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-2)*(-1469)\/(-226)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*x**2 - 2363*x + 1234 wrt x?\nAnswer: -4*x - 2363","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - 2*y + 4*y + (-2*y - 2 + 2)*(-2 + 5 - 4) - 2 + y + 2)*(4 - 5 - 35)*(0 + 1 - 3).\nAnswer: 144*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 2135311630876918?\nAnswer: 2135311630876917.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 + 4*u**2 + 2*u**2)*(u + 0 + 0).\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/81)\/(3*(-4)\/9)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(2*q**2 + 0*q**2 + 0*q**2) + 5599227*q - 5599227*q - 18*q**2 - 22.\nAnswer: -14*q**2 - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7002 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183, 365, 547, 729, 911?\nAnswer: 1093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 428\/3 - 142. Sort -1\/4, 0.5, x in descending order.\nAnswer: x, 0.5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97\/3 != 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -68870, -69229, -69588, -69947?\n\"Answer: -359*i - 68511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3968 a factor of 21109678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32961427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -3*v**4\/8 - v**3\/2 - 3*v**2. Suppose x + 3*x + 5*p - 12 = 0, 3*x = -p - 2. Let t(y) = 4*y + 1. Calculate x*w(z) - 5*t(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 374, 1252, 2648, 4562, 6994, 9944?\nAnswer: 13412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*p - 1177*p - 211200 = 1330*p for p.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(22 + 92 + -4))\/(3\/99)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25298861909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a second in milliseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 7*s + 3*o - 32 = 0, 0 = 4*s - 4*o - 32. Let a be (-82)\/(-2) + 8\/(-2). Let h = a - 21. Solve -s*f + 3*f = h for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(1584)*-3*-2 + -1)*-5)**2*4 + 3)*-1.\nAnswer: -51321703 - 43200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25394715.54 + -29685851599.54. Let z = j - -29660457181.00000246. Let y = -297 + z. Round y to seven dps.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**2 - v + 1. Let o(h) = 2*h**2 + 15*h. Let a(y) = -3*y**2 - 24*y. Let x(l) = -5*a(l) - 8*o(l). Let g(t) = -n(t) - 5*x(t). Give g(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-18)*5972\/29860*10\/28*-2\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 21958, -4, 0, 3, -5 in descending order.\nAnswer: 21958, 3, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 135429.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1160060 rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 3*w**5\/20 - w**4 - 127*w + 75. Let c(l) be the first derivative of a(l). Find q such that c(q) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -13*u - 50. Let s be j(-4). Solve -3*y - 4*n + 12 = 0, 0*y + 3*n + 8 = s*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23685a2 (base 12) to base 7.\nAnswer: -112200563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + j + j + (0 - 4 + 3)*(3*j - 3*j - 2*j) - 2*j + 0*j + j + (-4*j + 10*j + 14*j)*(-5 + 5 + 1) + 5*j - 2*j - j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101110101 - -100110000?\nAnswer: 10010100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84849599?\nAnswer: 23, 3689113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*y = 10*y + 25. What is the tens digit of y\/(-2) + 6135\/30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8764 and 33524?\nAnswer: 73451084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2*o - 3, -4 = -3*x - 5*o. Let s be (-5 + x + 6)*-1. Let l(z) = z - 2. Give l(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + -0.7. Let k = 2 + -3. Let p = -24 - -26. What is the closest to r in k, p, 2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-3090199.\nAnswer: 309019.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*p + 2*z, 5*p + z - 4*z - 9 = 0. Suppose -9*q + 12 = -p*q. Let n be 21 - q\/(-4)*0. Solve -b - b + n = -5*c, 0 = -4*b + 3*c + 21 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -921 (base 12) to base 16\nAnswer: -529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 77215, 77211, 77205, 77197?\n\"Answer: -t**2 - t + 77217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2 + 14 = 0, 4*x = l - 8642. Is l a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -63\/2*a - 555\/2 - 3\/8*a**2.\nAnswer: -3*(a + 10)*(a + 74)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -53\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 + 189. Let j = y + -134. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 25124, 50325, 75526, 100727, 125928, 151129?\n\"Answer: 25201*b - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*i + 3*z - 50, 10 = 5*z. What is the second derivative of -a + i*a + 22*a**3 - 12*a**3 wrt a?\nAnswer: 60*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16240 (base 8) to base 11.\nAnswer: 5562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -372342, -372329, -372306, -372273, -372230, -372177, -372114?\nAnswer: -372041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 24986 - 6?\nAnswer: 24980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 17\/84*q**8 - 43\/24*q**4 + 0*q**7 + 0*q**6 + 0*q**3 + 87 + 0*q - q**2 - 1\/30*q**5. Find the third derivative of m(w) wrt w.\nAnswer: 4080*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 950, -8, 0.1, 1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23718985.\nAnswer: 5, 4743797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -178 minus -0.05?\nAnswer: -177.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32584 is divided by 214.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 159684 and -315.\nAnswer: 159369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1 - (1 + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 + 5*q**2 + 2 - 10*q - 1.\nAnswer: 5*q*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12686a7 (base 12) to base 8\nAnswer: -15643737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fb when two letters picked without replacement from {f: 14, b: 5}?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/22 and -17\/5126.\nAnswer: 5126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3)*6\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1499 and 1515478507.\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 5. Let t be x(5). Suppose -c = c + 4*i + 12, t = 5*c - 5*i - 15. Solve c = 2*g + 4 + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*y = -84, -3 = 5*y + 7. Suppose -5*w = -o + 9 + 1, -5*o = 5*w + z. Which is the biggest value? (a) 3 (b) w (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12528 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -466, -930, -1380, -1810, -2214, -2586, -2920?\nAnswer: -3210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41433 and 2163.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.48 + 4.\nAnswer: 1.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)*-1*-6 + -5*(0 + sqrt(153)) + -2*2*2*sqrt(153)*1.\nAnswer: -21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 259*x - 50 + 29 + 26 - 751*x + 1299*x as u*x + y and give u.\nAnswer: 807","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**3\/6 + a**2\/2 + a. Let t(v) = 5*v + 5. Suppose -3*o + 8*o + 10 = 0. Let p be -2 - 2\/(o + 0). Determine p*t(m) + 4*q(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.079 - -106.921. Let m = -0.09 - -101.09. Let w = t - m. What is the closest to 0.3 in 0.5, -0.3, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*c - 2*n + 2, 0 = 5*n - 20. Suppose 30*h = 39*h + 54. Let z be 80\/(-15) - c\/h. Let u(m) = -m**3 - 5*m**2 + 5*m - 5. Give u(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -8 - 70. Let y = -77\/3 - v. What is the nearest to -1\/3 in 0.3, 2, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239324.97 months in years?\nAnswer: 19943.7475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4422 rounded to 1 dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1351, -1352, -1353, -1354, -1355, -1356?\n\"Answer: -a - 1350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -209, -633, -1435, -2741, -4677?\nAnswer: -7369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 1. Let j(v) = 2*v**2 + 3*v + 7. Calculate 2*j(h) - 14*m(h).\nAnswer: 4*h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -20) + -20 - -15?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**6\/40 - 30*t**2. Let l = -1 + -2. Let m(q) = -q**3. Let z(s) = -642*s + 3204. Let p be z(5). Determine l*b(o) + p*m(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10202 + -4?\nAnswer: 10165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128105, 127633, 127135, 126599, 126013, 125365, 124643, 123835?\nAnswer: 122929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-54))\/(47\/(-17202)). Let x = -41\/3 + p. What is the nearest to x in -0.02, -4, -2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -971\/254 greater than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 4:42 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -171804\/5 at most as big as -34362?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116671.\nAnswer: 17, 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**4 + 85*f**3 - 2*f**2 - 2*f + 4. Let a(t) = -9*t**4 - 254*t**3 + 7*t**2 + 7*t - 14. Let i(h) = -2*a(h) - 7*b(h). Factor i(c).\nAnswer: -3*c**3*(c + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2111011 - 2?\nAnswer: 2111003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 630982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231*d - 3831501 - 2424903 = 0. List the prime factors of d.\nAnswer: 2, 3, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2311 + 6931\/3. What is the closest to -2 in -9.6, h, -0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88808, -710386, -2397496, -5682902, -11099368, -19179658, -30456536, -45462766?\nAnswer: -64731112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -714950 divided by -5.\nAnswer: 142990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2394772941 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 312?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*d + 1243*d = -558*d + 9750 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 409770873*l**3 + l**2 + 261690025 wrt l.\nAnswer: 2458625238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 7*x**2 + 3*x + 16. Let m be k(-7). Let l(j) = -8*j + 2. Let y(q) = 12*q - 3. Determine m*y(i) - 7*l(i).\nAnswer: -4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t + 3*d = 15*t + 27, -15 = -5*t + d. Let y(c) be the second derivative of 21*c - 1\/12*c**t - 3\/2*c**3 + 0 - 4*c**2. What is y(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, x: 5}. What is prob of sequence gg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 237680016 divided by -1037904.\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2270 <= 2055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 237.4 plus -3?\nAnswer: 234.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 3*u - 15, -4*f + 13*u = 10*u - 21. Solve 3 + f = 9*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*((p**1*p)\/p)\/p)\/p)**(-21)\/(p**(2\/19)*p\/p**(-7)) assuming p is positive.\nAnswer: p**(-154\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 14*49237\nAnswer: 689318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -3\/8, 0.4, 1\/241, 2\/11?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20899047691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 2520?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1198961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + sqrt(80))*1 + -5)*-4)**2.\nAnswer: -128*sqrt(5) + 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 128304 and 720.\nAnswer: 641520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/2, 0 in descending order.\nAnswer: 0, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 - 63*g**2 - 32*g - 3. Let j be v(32). Let w = -8 - -7.8. What is the biggest value in j, w, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 634001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i - 14. Let h(d) = -12. Give 5*h(n) - 4*q(n).\nAnswer: 4*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, b: 2, l: 8}. What is prob of picking 3 s?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6920 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b8 + 58?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/6*9*14\/(-42).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -37*t**3\/3 - 44*t + 16. What is the first derivative of v(s) wrt s?\nAnswer: -74*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/16 - (-2 - (-5)\/2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -7. Let u = 0 + s. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -75331*q**3 + 644*q**2 + 39882239 wrt q.\nAnswer: -225993*q**2 + 1288*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1566489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 16, 3*b + 1 = 5*m + 33. Suppose -b*t - 24 = -92. Calculate the lowest common multiple of 5 and t.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/11)*y)\/(y**(-1\/6)*y))\/(y\/(y\/y**7)*y*y**(2\/3))*(y\/y**(-7)*(y\/(y*y\/y**1))\/y)\/(y**(-1\/2)*y)**15 assuming y is positive.\nAnswer: y**(-90\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1013 and 21020109.\nAnswer: 21021122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 8\/2406857?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18964 is divided by 1576?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2. Let d(z) = 12*z**2 - 5*z + 5. Let i(x) = -119*x**2 + 49*x - 49. Let l(p) = 49*d(p) + 5*i(p). What is y(l(t))?\nAnswer: 98*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2496189 to the power of 1\/2, to the nearest integer?\nAnswer: 1580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -83 (base 9) to base 4\nAnswer: -1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*m - 549 + 549.\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -3. Let s = a - -5. Solve 0 = t - s*t - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*n = 281*n - 14 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 14\/18 + (-16)\/(-72)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(153)*1)\/sqrt(9) + -1 + sqrt(17) + -4 + 3*sqrt(187)\/((sqrt(44)\/sqrt(4) + sqrt(11))*-5)).\nAnswer: -17*sqrt(17)\/5 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*k = 4*k - 760. Let a = -17 - k. Sort -30, -5, a in ascending order.\nAnswer: -30, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1912023334 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o. Let r(d) = -6*d - 13. Let c(b) = -r(b) + 5*s(b). Let h be c(-9). Does 28 divide h\/26 - (-3892)\/52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1114, 2198, 3288, 4384, 5486, 6594, 7708?\n\"Answer: 3*b**2 + 1075*b + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w - 4 + 4 + 5*w**2 - 7*w**2 - 2*w**3 - 8. What are the prime factors of s(-3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34058 - -170294\/5. What is the nearest to 0.1 in b, 2\/9, -1, 44?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of 5*h**3\/6 - h**2 + 3*h. Let q be u(4). Let o be 2\/(-4) - 99\/q. Let p(c) = -c**3 - 6*c**2 + 2*c + 6. What is p(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00029811 rounded to six decimal places?\nAnswer: -0.000298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -15313.173 times 1?\nAnswer: -15313.173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, j: 5}. What is prob of picking 2 o?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1287 + 1286.9. What is the nearest to -1\/3 in m, -5, 0.1, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + 3*2*(sqrt(128) + -1)*-2)**2.\nAnswer: -110886 + 8064*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5*w + 76. Let o be a(-15). What is the units digit of o\/((-6)\/3092*(-14)\/21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*w + 86*w + 2*w**2 - 196*w + 25*w**2.\nAnswer: 27*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - 0. Let x = g - -7. What is the third smallest value in 0.1, 5, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6726, -13449, -20172, -26895, -33618, -40341?\n\"Answer: -6723*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7)\/b**(-3))\/(b**(1\/2))**(-38\/7)*((b*b**(2\/5))\/b)**(5\/12)*(b\/(b*b\/(b**2\/b)))**(-1\/13) assuming b is positive.\nAnswer: b**(-47\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 221875?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 + 115 = 5*o. Calculate the remainder when 205 is divided by o.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -54.708\nAnswer: -54.708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.418 * 5.3\nAnswer: 2.2154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1055800*x**3*z + x**3 - x**2 - 3*x*z + 5002*x + 74 wrt z?\nAnswer: -1055800*x**3 - 3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 11858*a**3 - 729*a**2 - 13*a - 15. Let l(x) = -5*x**3 + x**2 + x + 1. Let c(r) = -15*l(r) - p(r). What is the third derivative of c(y) wrt y?\nAnswer: -70698","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23745 * -0.04.\nAnswer: 949.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/7326 and 23\/74?\nAnswer: 7326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of x**6\/15 + x**4\/4 - 4*x**2 + 8. Let t(u) be the second derivative of l(u). What is the second derivative of t(h) wrt h?\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 861 and 287910.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**3 + 3*q**3 + 4*q**3)*(-2 + 2 - 2)*(0*q + 0*q - 4*q**2).\nAnswer: 24*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-135)\/(-20) + (-2 - 5\/(-4)). Is 47\/9 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 66. Let i = 66.6 - g. Round i to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 726521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -366*t**3 - 102*t**2 + 3*t?\nAnswer: -2196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4942\/3 - 1648. Is 1734 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/24)\/(48\/(-16)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 461.1241 millilitres to litres.\nAnswer: 0.4611241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 3*g**4\/4 + 70*g**3 + 3675*g**2\/2 - 86. Factor k(l).\nAnswer: 3*l*(l + 35)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 73 - 67. Suppose 0 = -u*k - 2*k + 935. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*t = 1059 - 1274 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 15836, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6060 - -8471. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -2, 50, -1, 10, 0 in increasing order.\nAnswer: -5, -4, -2, -1, 0, 10, 50","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338325 is divided by 6526.\nAnswer: 5499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-102)\/8*(-32)\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*d + 682, -2*d + d + 142 = l. Let s be (-7)\/((-49)\/l)*7. Let r = 368 - s. Round r to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 577233370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b = -8*b - 63. Is 1\/(-7) + 6177\/b a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 28 = -4*u, -5*t - 4 = -276*u + 274*u. Suppose -4*w + 3*v + 3 = -w, 0 = -4*w - 3*v - 17. Put u, w, -1 in decreasing order.\nAnswer: -1, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 325565*h**4*v + 49369*v with respect to h.\nAnswer: 1302260*h**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -4 (c) -166\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-4 - 2 - -7). Suppose 0 = -2*l - 0*n - 4*n, 4*n = -l. Suppose -3*h + l*h = 9. Which is the nearest to r? (a) h (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 3*z + 2. Let c be o(4). Suppose -c = -n + 4*n. What is the units digit of (-98)\/35*5\/n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*r - 5*r - 129360 = 0. What is the lowest common multiple of 880 and r?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10770*a + 1870 = -10600*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*v)*(0 + 0 + 2)*(-7 + 1 - 17) - 1 + 1 + v + (2 + 4 - 4)*(3 - 3 + 2*v) + v - 2*v + 2*v - 3*v + 4*v + 0*v + 2 - 2 - 2*v.\nAnswer: -87*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i - 1. Let a(j) = -15*j - 4. Let v(p) = -6*p - 1. Let d(w) = -6*a(w) + 17*v(w). Give -2*d(s) - 14*l(s).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/30385 and -27\/34845518.\nAnswer: 174227590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 14\/(-3) + (-1430)\/(-39). Suppose -m + x = 34. Let h be 64\/(-297) - 6\/(-27). Is h < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -115574 to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 21*g**2 + 17*g - 30. Let j be p(-19). Let z = 369 - j. Solve 3*a = 3*u, -2*u + 7*u + a + 30 = z for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**1*b*(b*(b**(1\/11)\/b)\/b)\/b*b*((b\/b**(-2\/7))\/b)**(-5\/2) assuming b is positive.\nAnswer: b**(-48\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 52*y**2 + 10*y + 28. Let q be t(-16). Let f be (-2)\/9 - q\/(-180). Calculate the highest common divisor of f and 219.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*i*t**2*w - 3*i*t**2 + i*t - 256298*i*w + 2*t**2 - 3*t + 6141 with respect to w.\nAnswer: 8*i*t**2 - 256298*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 29 = 4*r, -4*v - 27 = -4*r - 3*v. Suppose k = -5 + r. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*p**2 + 116*p**2 + 387*p**2 + 32*p**2.\nAnswer: 744*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = o + 1. Let r(j) = -138*j - 5386. Let i be r(-39). Let n(m) = -m**3 + 3*m**2 - 3*m + 2. Let x be n(2). Sort o, x, i in increasing order.\nAnswer: i, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(17) - (sqrt(17) + -1 + -3))**2 + 0 + ((sqrt(153) + sqrt(153) + 1*sqrt(153) + sqrt(153))*-4)\/(-1*sqrt(900)))*-4.\nAnswer: -64 - 32*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -43812.3 rounded to the nearest 100?\nAnswer: -43800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 12232*w + 7750. Is k(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2 - 6*k - 2*k - k - k - k**2. Does 11 divide z(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-492 + -13)\/((-1)\/17). List the prime factors of u\/(-68)*20\/(-25).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-108)\/(-32))\/(-9)*2212\/(-474)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 208*q**2 + 4*q**3 + 208*q**2.\nAnswer: 4*q**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 178 and 7?\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c - 1. Let y(q) = -7*q + 3. Let u(a) = -5*h(a) - 3*y(a). Suppose -215*x = -187*x - 196. Determine u(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6268 (base 16) to base 4\nAnswer: -12021220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003018714 to 7 dps.\nAnswer: 0.0003019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 358415 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0806 - -233.6194. Let z = j + -234. Which is the second smallest value? (a) 2 (b) z (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -5.767?\nAnswer: 5.767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-5)*7*(-16)\/42*(-57)\/2204\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 238358609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -56*m - 77. Let b(u) = -3*u - 4. Let n(s) = -77*b(s) + 4*q(s). Let i(z) be the third derivative of -z**5\/15 - 5*z**2 - 26*z. Determine n(i(h)).\nAnswer: -28*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88 - (186 + -5 - 55).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.91 + -0.09. Let z = q - -5. Let s = -0.5 + 0. Which is the nearest to z? (a) s (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 9*c - 8. Determine h(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/24350780 and -17\/256324.\nAnswer: 24350780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7039913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -390 - -390. Let z be -7*(-24)\/(-588)*(-2)\/(-8). What is the nearest to t in 3, -2\/9, z, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 37193*o + 185991. Calculate k(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -648769.7 to the nearest 10000.\nAnswer: -650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 2*x**5\/15 - 25*x**4\/6 - 2*x**3\/9 + 25*x**2\/3 + 1460. Factor w(q).\nAnswer: 2*q*(q - 25)*(q - 1)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 951063 + -1637088. Let i = n - -686027.0000036. Let l = 2 - i. Round l to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*r + 24*r + 45 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4882174, -9764348, -14646524, -19528702, -24410882, -29293064?\n\"Answer: -p**2 - 4882171*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 278*h. Let d be t(0). Which is smaller: d or -408?\nAnswer: -408","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 9*v - 5. Let c = -33 + 43. Give w(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.09143 + 0.20857. Sort 20.4, u, 3, 5 in increasing order.\nAnswer: u, 3, 5, 20.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2023324 (base 5) to base 8\nAnswer: -100304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 35 = 5*r, -n + 2*r - 11 = -2*n. Suppose 0*a + 12 = n*a, 5*x - 2*a - 447 = 0. Suppose -p - z + x = -6*z, 5*p - 455 = -5*z. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + v + 29 = -5*z - 4*v, -16 = -2*z + 4*v - 36 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223560.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-4 + sqrt(17))*5 + sqrt(272) + 4 - -3*-6*(4*sqrt(2057) - sqrt(2057)))**2.\nAnswer: 18720*sqrt(17) + 5818083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 455*v**3 + 841*v - 841*v + (-v**2 + v**2 - v**2)*(-3*v + 0*v + 5*v).\nAnswer: 453*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 257, 556, 889, 1262, 1681, 2152?\n\"Answer: f**3 + 11*f**2 + 259*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - h**2 - 2*h**3 + 3*h)*(-9*h - h + 9*h).\nAnswer: 2*h**4 + h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 + 2*z + 2. Let n be b(-1). What is the third derivative of -12*w**5 + n*w**5 + 14*w**2 + 30*w**2 + 4*w**2 wrt w?\nAnswer: -600*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 31*y**5\/15 - y**4\/6 + 7*y**3\/6 - 279*y**2. Is x(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 98*h**2 + h + 9?\nAnswer: 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jlr when three letters picked without replacement from rlrllrrirrjjrrirrrir?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385 is divided by 128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -33, -100, -283, -642, -1237, -2128, -3375?\n\"Answer: -10*q**3 + 2*q**2 - 3*q - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1181960 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 4*a - 4, -u - 4*a - 2 = 3. Suppose m = w + u + 7, 0 = 4*m + 5*w - 4. Calculate the lowest common multiple of 20 and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53 (base 10) to base 2\nAnswer: -110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (-4 - 12\/(-4)). Suppose 7*v + 5*z = u*v + 18, -4*z + 4 = -2*v. Suppose 5*m = -4*d + 1411, d - 1102 = -v*d + 5*m. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from hvhv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 14. Let x(o) = -o**3 + 8*o**2 + 8*o + 11. Let f be x(m). Is 7\/3 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1154 + -5?\nAnswer: 114f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -557 - -999. Is 26 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73152\/35 + 2090. What is the nearest to y in -4, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -4 - 21. Let d(a) = 3 - 1 - t. Let i(y) = -2 - 8*y + 7*y + 5 + 4. What is 5*d(l) + 2*i(l)?\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7168087 divided by 121493\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 3:30 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*v + 24*v + 23*v = -t + 65*v - 27, t + 999 = -166*v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.4 (b) 2\/9 (c) 3\/8 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81972 and 352.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.4 (b) -14 (c) 656 (d) 1 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*b = 372*b - 88920. What is the least common multiple of 9 and b?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*w = -109*w - 1417 + 499 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -3*r - 6, -2*n + 28*r + 125 + 9 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 2*m - t - 903, -1803 = -4*m - t. Let i = -230 + m. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -557*j - 45117. Let v be b(-81). Find y, given that 2\/7*y**3 - 20\/7*y + v - 18\/7*y**2 = 0.\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 13*f + 11*f + 20 = 0, 5*c - 5*f + 35 = 0. What are the prime factors of (-223)\/(c\/(-36)*-3)?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8330000 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**4 + 0*p + 0*p)*(-3*p + 0*p + p) + (0*p**4 + 0*p**4 - p**4)*(3*p + 5*p + 0*p).\nAnswer: -10*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 + 0 - 3 + 1 + 4 - c**2 - 4 - c**2 + 3*c - 3*c + 1 + 2*c**2 - 1 + (2*c**2 + 3*c**2 - 6*c**2)*(-2 + 0 + 1) + c**2 + 5*c**2 - 4*c**2.\nAnswer: c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 57126210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -4, 15.\nAnswer: -4, -1, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zufuuuuuuuvs. Give prob of sequence uufv.\nAnswer: 7\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/154 and 51\/19490174.\nAnswer: 136431218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + 13. Suppose -i = -b - 15. Suppose 368 = b*z - 11*z. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.08 and 122702.\nAnswer: 122700.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*l + 33, -31 = 4*l + 4*g + g. Let i be 36\/27*l\/(-2). Solve -5*u - 9 - i = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 - 4*j - 35. Let t be b(5). What is the common denominator of (13 - 18) + 15\/54*t and (131\/24)\/(2\/(-4))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*((-35)\/15 + -1). Let x be 4*((-6)\/a)\/(12\/(-50)). Let n(c) = 7*c**2 + 10*c + 2. Is n(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -0.037, 3\/4, 2\/7, -0.1 in ascending order.\nAnswer: -6, -0.1, -0.037, 2\/7, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -11*p + 1 + p**2 + 1 + 12*p. Let h be n(0). Suppose -2*s - 3*s + 439 = -3*i, -5*s - h*i + 424 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -x - 10 + 8, 0 = 3*c + 3. Sort x, -4, 6\/19, 2 in ascending order.\nAnswer: x, -4, 6\/19, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99524, -199043, -298560, -398075, -497588?\nAnswer: -597099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 91 = -t, h + h + 2*t - 48 = 0. Suppose j = 3*o + 9, j + 5*o - o = h. Let c be 8\/(-6)*j\/(-10). Solve 0 = -2*m - 2*w + c, 0 = -5*m - 4*w + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28644832 is divided by 512?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29125250, -2, 5 in decreasing order.\nAnswer: 29125250, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 676, -229, -2\/3, -2.2 in increasing order.\nAnswer: -229, -5, -2.2, -2\/3, 676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0.1, 2, 4\/5, -723 in descending order.\nAnswer: 2, 4\/5, 1\/3, 0.1, -723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 5 (c) -5\/72 (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -201 - -225. Let m(h) = -39*h + 23*h + 16*h + 5*h**2 - c*h**2. Let p(o) be the third derivative of -o**4\/12 - 2*o**2. Give m(p(w)).\nAnswer: -76*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2251948?\nAnswer: 2, 562987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-4))\/1*3094\/(-21). Calculate the greatest common factor of 17 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v - 8 + 6 - v - 2*v. Let c(h) = -h + 1. Let w(z) = 5*c(z) + q(z). Let p be 8\/28 + 33\/7. Give w(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2485656664 to the nearest integer?\nAnswer: 1355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/2)\/(6\/213). Let d = -38837\/3 - -13089. Let t = d + m. Calculate the common denominator of t and 16\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3701*x**2 + 7*x - 1015. Let i(p) = 14805*p**2 + 29*p - 4056. Let d(r) = -17*a(r) + 4*i(r). What is the second derivative of d(v) wrt v?\nAnswer: -7394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence flk when three letters picked without replacement from ffllffkkkfxfx?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150742061?\nAnswer: 1097, 137413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91 and 663?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5740994*q**2 - 5741102*q**2 + 11482179*q**2.\nAnswer: 83*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130, -240, -338, -424?\nAnswer: -498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 549 = 145*x - 322 + 581 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of c**4\/3 - c**3\/2 - 13*c**2\/2 - 8. Let p(d) be the second derivative of y(d). What are the prime factors of p(5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/17 - 13\/119. Let r = 233 + -229. Which is the closest to 2? (a) r (b) u (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + (sqrt(204)*-3 - sqrt(204)))*5*2)\/(sqrt(84)\/(1*1*sqrt(7))) + -2.\nAnswer: -30*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 51198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 5:36 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 1. Let v be b(4). Suppose -4*q + 8 = n - 28, 0 = 3*n - v*q - 48. Does 20 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*a + 0*a + a)*(-2*a**4 + a**4 - a**4) + 0*a + 5*a**5 + 0*a - 2*a**5 + 2*a**2 - 2*a**2)*(5 + 0 - 4).\nAnswer: a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.43 - -7.43. Sort c, 1, 0.3, -3.\nAnswer: -3, 0.3, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3090\/7 - 31761\/70. Calculate the common denominator of m and -17\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 15040\nAnswer: -15040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, w: 1, n: 5}. What is prob of sequence nns?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.14 + 0.06. Are 2 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m + 2. Let x be b(1). Suppose x*z = 360 + 410. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(539) + ((-1*sqrt(539) + sqrt(539))*5)**2 + sqrt(539) + ((sqrt(88) + sqrt(88)*1)\/sqrt(8) - ((-3*sqrt(110))\/sqrt(10) - sqrt(11)))**2.\nAnswer: 14*sqrt(11) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -32214211 (base 7) to base 8\nAnswer: -12356174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32714803, -32714805, -32714807, -32714809, -32714811?\n\"Answer: -2*s - 32714801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*q + 97*q = -122640. Is q\/330 + 2\/11 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69080 and 3454.\nAnswer: 69080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 11 = 2*m, -4*m + 17 = -6*n + n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*c, -7 = 5*b + 3*c - 34. Suppose 0 = -4*h + 3*j + 28 - 9, -3*j + 9 = b*h. Solve g - h*n = -2*g - 19, -17 = 4*g + 3*n for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76871 is divided by 4694?\nAnswer: 1767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10240 + -3210?\nAnswer: -13450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*d)*((0*d**2 + 0*d**2 + 2*d**3)*(2 - 4 + 0) - 3*d**3 - d**3 + 2*d**3 + d**3 + 2*d**3 - 2*d**3 - 7 + 7 - 2*d**3).\nAnswer: 14*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2004.849 + 2003.5209431. Let d = -1.328 - w. What is d rounded to six dps?\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24.6 - -39.6. Is w > 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*q + 11*q + 100 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59179?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 12*r - 27 = 0, 2*r - r - 2*r + 45 = -4*m + r + 25 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 408.13 - 408. Sort p, 1, -1\/7, -1\/4, -4 in ascending order.\nAnswer: -4, -1\/4, -1\/7, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276742?\nAnswer: 2, 138371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 take away -0.27761?\nAnswer: 667.27761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((2 - -3) + -4)\/1. Which is smaller: 16 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5))**34\/((g*g\/g**9)\/(g*g**(2\/23))))**17 assuming g is positive.\nAnswer: g**(-63308\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjs when three letters picked without replacement from {j: 1, g: 3, s: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-12))\/((-1)\/(-9)). Let k = p - -2. Let r(w) = -4*w + 4*w - 202 - 2*w + 206. Give r(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35735 and 210?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2200 (base 3) to base 6\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 69, 71, 75, 81, 89, 99?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12680 is divided by 352.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11466 + 11466. Which is greater: 2\/17431 or r?\nAnswer: 2\/17431","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*k - 6 = 0. Let x be k - ((-1)\/(-1) + -3). Let f(h) = -4*h**3 + 4*h**3 + h**3 - x. What is f(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = -4*k. Let b be (-1)\/k + -4 + 2. Are 1\/4 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3 = -7. Suppose 3*a + z*f = 67, -3*f + 2*f - 14 = -a. Calculate the remainder when a is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 4 + 2 - 7 - 188*n**2 as p*n + l*n**2 + f and give l.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3695, 3699, 3703, 3707, 3711, 3715?\n\"Answer: 4*g + 3691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -59316234, -59316236, -59316238, -59316240, -59316242, -59316244?\n\"Answer: -2*g - 59316232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 7) in base 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*r - 2478 + 2478 + 3*r - 6*r + 4*r + r + 4*r - 4*r + (-3 + 3 + 2)*(-r + 4*r - 2*r) + 0 + 0 + 2*r + 0*r + 0*r + 2*r)*(r**3 - 2*r**2 + 2*r**2).\nAnswer: -13*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3195551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/3 - 4852*r**2 + 11770952*r - 28556329552\/3.\nAnswer: 2*(r - 2426)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 5*p + 10, 0 = -4*p + 5*p - 3*a + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45051*i**2\/5 + 90108*i\/5 - 12\/5.\nAnswer: -3*(i - 2)*(15017*i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -5, 1, 3, -4, -23, 17.\nAnswer: -24, -23, -5, -4, 1, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 2, 5*h - 10 = 234*s - 236*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*v + 10*v - 83*v to the form h + t*v and give t.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/5 (b) 24 (c) -0.1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*p = 6*p + 828. Sort p, -2, 17 in ascending order.\nAnswer: p, -2, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*p - 126 = -1 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5836 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -2)\/(6\/(-436)). Let g = 72 - j. Which is smaller: g or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 75*c - 294. Let v(b) = 5*b**2 + b - 2. Let h be v(1). Let t be o(h). Let s(j) = -j**3 + 5*j**2 + 2*j + 1. Give s(t).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7436158.\nAnswer: 2, 223, 16673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 7*w**4\/8 + 3*w**2 - 4. Let t(j) = -5*j**2 + 3*j**2 + 0*j**2 + 0*j**2. Calculate g(t(q)).\nAnswer: -42*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 at most as big as -1\/401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5.285 * -0.9\nAnswer: -4.7565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(15\/8)*h*h)**11\/((h\/(h**(-10\/17)*h)*h)\/h**(-3\/13)) assuming h is positive.\nAnswer: h**(72145\/1768)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 32*l**3 - 6*l**2 - 195*l + 11. Let m(g) = 15*g**3 - 3*g**2 - 98*g + 5. Let y(c) = -13*m(c) + 6*o(c). Is y(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/10*(-752)\/40. Let r = -59\/275 - o. Find the common denominator of r and -3\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 + 4. Let a(n) = 2*n**2 + 3. Let o(l) = 4*a(l) - 3*u(l). Let c(g) = -48*g + 15*g + 16*g + 13*g + 19*g. What is c(o(v))?\nAnswer: 30*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 + 77. Let f = o + -3.99999928. Round f to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + -0.3. Let g = 66.7615 + 0.0385. Let w = g - 67. Which is the third smallest value? (a) n (b) 0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 6) + 3 - -4 - -77. Calculate the greatest common divisor of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 492053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-287)\/(-21) - (-1)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 20*d**3 - 4*d - 24 - 14 + 9*d**3 + 50.\nAnswer: -11*d**3 - 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 46\/(-10) + 4\/(-10). Let r = 1.98 + 0.02. Let p = 0 + r. What is the smallest value in 3, p, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4330212 + -34?\nAnswer: 4330123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2046 and 27132564?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 366, 1463, 3292, 5853, 9146, 13171?\n\"Answer: 366*z**2 - z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.2 - 2.35. Let u = 0.45 + d. Let v = 199\/1017 - -3\/113. What is the second smallest value in u, 4, v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3)\/j**(-7) assuming j is positive.\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -347*b**4 - 2*b - 899 wrt b.\nAnswer: -4164*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001011100111 - -1010010000110110?\nAnswer: 1001000101001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.04 (b) -0.5 (c) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 4 + 4 - 9 + 11*t.\nAnswer: 9*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6007639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 94304\/617032 - 26\/169. Is s less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1579, -2551, -3523, -4495?\nAnswer: -5467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w - 16. Let k be i(-9). Let z = 9 + -23. Let n = k - z. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2142*6\nAnswer: -12852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105 - 109) + -1 + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-33)\/30 + 1)*8. Suppose -5*k - 25 = -0*k. Let c = -0.5679 - -0.9679. What is the second biggest value in -0.1, k, o, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17*(-1)\/(-1))\/((174\/290)\/((-42)\/35)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3826 + 3828. Let t(v) be the second derivative of 11*v + 0*v**3 + 0 + x*v**2 + 1\/12*v**4. Find the first derivative of t(y) wrt y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9304 + 8?\nAnswer: 930c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b - 36 - 24 = 0. Let x(u) be the first derivative of 1\/2*u**3 + 6*u - 2 + b*u**2. Factor x(c).\nAnswer: 3*(c + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -485, -502, -531, -572?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/38, -5, -139613, 5 in ascending order.\nAnswer: -139613, -5, 1\/38, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11826\/130 - 5384\/(-174980)) + (-3 - 8) + 2?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 3*w - 7. Let o(f) = 4*f + 3. Let b(c) = -3*c - 106. Let q be b(-37). Let v(n) = n. Let g(s) = q*v(s) - o(s). Calculate -7*g(z) + 3*y(z).\nAnswer: 3*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3\/3 - 949376*s**2\/3 - 25641900*s.\nAnswer: 4*s*(s - 237425)*(s + 81)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n + 15 = 24*n. Solve -b - 2*p = n*b + 6, 2*p + 6 = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -5\/3, -4, -0.3, 1362?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, e: 6}. Give prob of picking 3 e.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/(-7) + (-13068)\/(-189) is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a day in minutes?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46790393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away -0.033472?\nAnswer: -2.966528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7985\/12 - -666. Let d be -2 + 11 + 2 + -1. Calculate the common denominator of b and (-4)\/8*123\/d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1050, -1048, -1046, -1044?\n\"Answer: 2*g - 1052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**5 - 10*d**4 - 24*d**3 - 2*d**2 + 23*d + 12 = 0.\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 + 43. Let y(g) = o*g**3 - 2*g - 3 - g**3 + 3 + g**2. Let t be y(1). Solve -a - 25 = t*a + 5*d, 0 = 4*a + 2*d + 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**12\/((q**(-7\/4)*q)\/q)*q\/q**(-3\/8)*q**0*q)**26 assuming q is positive.\nAnswer: q**(1677\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p = 27*p - 36. Suppose 9*x - 780 = -p*x. Calculate the greatest common factor of 16 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 30 = q, -4*q = q. Let s = -6 - n. Solve s*h - 2*h - 6 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + h + 3005 - 2986, -5*q + 3*h + 29 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 7448821695.8904?\nAnswer: 7448821696.0904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*h**2 + 17*h**5 - 18*h**5 + 2*h**3 - h**3 wrt h.\nAnswer: -60*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 2596?\nAnswer: -2591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 14. Let t be 2\/v + (-72)\/(-154). Let p = 5 + -5.5. Which is the closest to t? (a) -1 (b) 0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -97 and -2230\/23 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 993817.\nAnswer: 11, 167, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -22 (c) -0.4 (d) -0.1 (e) 2057\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 5*g - 7. Let t be k(-9). What is the first derivative of -t*r**3 + 146*r**2 + 3 - 146*r**2 wrt r?\nAnswer: -87*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 403*t**2 + 399*t - 1175. Determine f(-402).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 36 = 23. Suppose -4*c - v - 25 - 4 = 0, -3*v = -4*c - 25. What is the smallest common multiple of 2 and (i + c)*(-6)\/(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 - 8. What is the lowest common multiple of q and 6\/((-6)\/(-171)*3) - -3?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**3 - 318*f**2 + 9*f - 939. Calculate h(106).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - r + 10, r = m - 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1800 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59046429600 + 0.0612.\nAnswer: -59046429599.9388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1952113861?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*f + 78*f - 40128. Is f a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 11 - 4 + 2*t + 3 in the form n*t + a and give a.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-11 - (-16 - (-6 + 0))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12000*c**3*k - 37416*c**3 - c**2*k wrt k.\nAnswer: -12000*c**3 - c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -175 + 43. Let c(j) = -3*j**2 + 2*j - 13. Let r be c(5). Let f = r - n. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 + -29. Let t(b) = 3*b + 5. Let h(n) = -5*n - 8. Let r(l) = i*t(l) + 5*h(l). Let p(y) be the third derivative of y**4\/24 - 2*y**2. Determine p(r(k)).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 + y**2 + 0*y**2 - 18*y**2.\nAnswer: -19*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x = -23*x - 27, a - 60 = -3*x. Let s = -258 - -461. Calculate the greatest common factor of a and s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(-4)*4\/(-6)*60\/(-4480)*-64\nAnswer: -45\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -872473506 divided by -6\nAnswer: 145412251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.15 - -0.07. Let z = 0.31 - w. Round z to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -110*28\/3024*18?\nAnswer: -55\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8277, 16589, 24887, 33165, 41417, 49637?\nAnswer: 57819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*q**(-16)\/q))\/((q\/(q\/q**(3\/2)*q*q))\/q) assuming q is positive.\nAnswer: q**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 - 44. Suppose 5*b + q*f - 1315 = 0, 520 = -2*b + 4*b + 4*f. Suppose n + 3*m - 74 - b = 0, m = -5. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 5*r - 2. Let b(j) = -j + 4. Let u be b(-2). What is i(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13952854 to the nearest integer?\nAnswer: 3735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*j = -6864. Suppose 5*x = 16*x - j. What is the greatest common factor of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -56, -109, -196, -329, -520, -781?\nAnswer: -1124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + sqrt(300) + -1 + sqrt(300) + -4 + -1 + sqrt(300))**2.\nAnswer: -8112 + 360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 10, z: 4}. Give prob of sequence aa.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 153\/7 + -22. Let f = -0.1 - 0.2. What is the closest to -2\/9 in u, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + (sqrt(567)*1 - sqrt(567)) + sqrt(63)\/(sqrt(99)\/sqrt(176)).\nAnswer: 5 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -39*g**2*n - 57*g**2 - 41*g*n**3 - 60*g - 3*n wrt n?\nAnswer: -39*g**2 - 123*g*n**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 125575.57 + -126192. Let n = t + 612. Round n to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -755347 divided by -6?\nAnswer: 755347\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 79997\/10*-2 + 21\/(-35). What is u rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 90.76 and 0.6.\nAnswer: 54.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + 0.1. Let p = 0.03 + 1.97. Let g = 2.2 + -2.3. What is the biggest value in g, z, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/4 and 31\/8174.\nAnswer: 16348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 480*-2*(-21)\/6. Round y to the nearest 100.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -9*t + 10*t + 5*t**2 - 4*t**3 + 4*t. Let w(s) = -4*s**3 + 4*s**2 + 4*s. What is 4*d(m) - 5*w(m)?\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, n: 2, s: 2, k: 2, c: 6}. Give prob of sequence xkxc.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 7 + 7 + (-1 - 1 + 1)*(-1 + 1 + 2*g) + 12*g - 4*g - g)*(-1 + 2 + 0).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 + -47.9. Let f = w - -8. What is the closest to -1 in 1\/7, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 21 in decreasing order.\nAnswer: 21, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o - 12*o**2 - 71*o**2 + 4*o + 93*o**2.\nAnswer: 10*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -12 (c) -3 (d) 1320089\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162, -328, -520, -744, -1006, -1312, -1668?\nAnswer: -2080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237102728?\nAnswer: 2, 173, 171317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -3*z**5\/140 + 6*z**3\/7 + 24*z**2\/7 + 74*z + 2. Factor l(g).\nAnswer: -3*(g - 4)*(g + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2895591654 + 5\nAnswer: -2895591649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 226 - 124. Suppose -3*c = -6*c + w. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5*-2*sqrt(208) + 4 + (sqrt(208) - (sqrt(208) + sqrt(208) + -2*sqrt(208))))**2*-2.\nAnswer: -33696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*g**2 - 266 + 266 + (-2*g + g - 2*g)*(-2*g - 1 + 1) as l*g**2 + v*g + a and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 398 - 398. Suppose -18 = -a - 5*j, -6 = -a - s*a - j. Solve l + 10 = 2*n + 3*l, 0 = 4*n - a*l - 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6417 divided by 1.\nAnswer: -6417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.283 to 1 dp.\nAnswer: 21.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*a - 1058 = -13*a - 134 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + sqrt(396).\nAnswer: 4 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 866\/11 or 78?\nAnswer: 866\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 2. What is the closest to -0.2 in 2, -1\/2, p?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3743 and 126844.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2811500?\nAnswer: 2, 5, 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -54624392571 less than 305?\nAnswer: 54624392876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, w: 2, t: 1, v: 1, f: 2, s: 5}. What is prob of picking 1 b, 1 s, and 1 t?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 673, 1347, 2047, 2785, 3573, 4423, 5347, 6357?\nAnswer: 7465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -8*l + 3 + 7*l - l**2 - 6*l. Let a = -15 - -9. Let t be q(a). What is the highest common factor of t and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {r: 1, p: 4, b: 6}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1.06*-1.6\nAnswer: 1.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 2002001?\nAnswer: -2001222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7541*j**6 - 3707*j**2?\nAnswer: 904920*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/33, 0.202, 0.151, -0.01, -4 in descending order.\nAnswer: 0.202, 0.151, 2\/33, -0.01, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*i*j*l**3*v - i*l**3*v + 12*i - j*l**3 - j*v + 7*l**3*v wrt i?\nAnswer: 15*j*l**3*v - l**3*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 15876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53 - -148. Suppose 11 = 4*b - 0*a - a, -3*b + 8 = -a. Suppose 0 = v - 2*v + o + 21, -q = -b*v - 5*o. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1871 is divided by 75.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 428009177?\nAnswer: 127, 3370151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) -1\/5 (b) -0.3 (c) 2 (d) 115\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 115\/(-299) + ((-108)\/(-156))\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/52583, -8, 16, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*n**4 + 3*n - 3*n**2 + 61*n**3 + 24*n**2 - 16*n**3.\nAnswer: 3*n*(n + 1)*(3*n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4\/3)\/f**4)\/((f**(1\/3)*f*f)\/f**(-1\/4))*(f\/f**(1\/4)*f)\/(f**(-2\/7)\/f)*(f**(1\/4)*f)**(1\/21) assuming f is positive.\nAnswer: f**(-135\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 3. What is the tens digit of q(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z. Let h(v) = 1. Let u(f) = -6*f + 9. Let p(l) = 18*h(l) - 2*u(l). Suppose -8*j = 5*t + 146, -3*t - 366*j - 70 = -370*j. What is t*i(x) - 6*p(x)?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000259936 rounded to 7 decimal places?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*w = -115830488 - 244066952. Let n = -9095401 - 3702035. Let t = n - w. What is t rounded to the nearest 100000?\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*m - 5420 = 0, -4*m + 1 = 13. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v - 2 + 2)*(-24*v**2 + 745*v - 745*v) in the form h*v**3 + m*v + p*v**2 + a and give h.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 5:50 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4 + 3*f - 5*f - 3 + f. Let p be 3 - 1 - (39 - 8). Let a = 30 + p. Calculate l(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 153343271?\nAnswer: 153343271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m + 27*m**4 - 3*m - 4*m - 11*m**4 wrt m.\nAnswer: 192*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -301221 - -1003223?\nAnswer: 102002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 7:18 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 261532 and 54662.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 667 - 658. Solve 5*k = -q - c, 0*q + q = 2*k + 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4740388 - -2.4393\nAnswer: 4740390.4393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 6*s - 3. Let m(c) = -c**3 + 2*c**2 + 42*c + 41. Let x be m(-5). Give b(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 1:47 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/5 - 82*j**2\/5 - 93*j - 684\/5.\nAnswer: -(j + 3)**2*(j + 76)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3060409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2550? (a) -6277 (b) -0.2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*l**3 + 419956*l**2 - 119988*l = 0. Calculate l.\nAnswer: -59994, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 49*d**6\/60 - 41*d**3\/3 - 244*d**2. Find the first derivative of n(s) wrt s.\nAnswer: 294*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 1\/69, 3\/2282?\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 8*f - 7. Suppose 17 + 3 = -5*h. What is the lowest common multiple of o(9) and 3 + h - (-10)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 36 + 7*r**2.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5*2*(3*sqrt(152) - sqrt(152)))\/(sqrt(1200)\/sqrt(6)*3).\nAnswer: -16*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*n - 94*n = 12, 0 = -5*k - n + 4. Solve k*p = -5*l - 5, 4*l - 2*l = 2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21 + (0 + 6 - 4). Let j(r) = r**2 - r - 3. Let g be j(-2). Suppose -g*t + f = -16. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 34, 64, 90, 112, 130?\n\"Answer: -2*w**2 + 36*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -344 and -0.3.\nAnswer: -344.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 8:54 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3471 = -2*v, -1162 = -x + 2*v - 3*v. What is the remainder when x is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/9)\/(((-1250)\/525)\/(-25)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 10591448107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2 + 30*m - 31 = 0.\nAnswer: -31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -26484\/17 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 54\/24*16\/(-3). Let d be -1 + 2 + 13 + r. Suppose -2*l = 2*v - 22, 2*v - v + d = 0. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 65*x + 3843 - 28803. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -234 + 493. Suppose -19 = -5*f + 1. Suppose -292 = -f*p + 4*s, -5*s + k = 4*p - 24. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 a when two letters picked without replacement from laululqqlxuxaxxualu?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*w**2 - w + 88*w**2 + 313 - 153 - 158 to the form i*w**2 + k + f*w and give i.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 1. Let q = -67\/3 - -22. Which is the biggest value? (a) r (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 30638.\nAnswer: -30633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 12*i - 6. Let t be d(11). Let j(a) = -2*a + 2. Let c(v) = 6*v - 6. Give t*j(n) - 6*c(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -10*i**2. Let w be ((-18)\/(-15))\/((-3)\/(-10)). Let p(o) = o + 5*o - w*o. What is s(p(f))?\nAnswer: -40*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -365 by 5.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**4\/4 + 2*l**3 - 69*l**2\/4 - 63*l = 0 for l.\nAnswer: -12, -3, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31 - 11?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 divided by -1.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1931*f = 2054*f - 615 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 989832 is divided by 810?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (-86 - -86)) + -5 + 1 + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 65100 = 3*a - 202821, -5*w + 2*a = -334861. List the prime factors of w.\nAnswer: 3, 5, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.343 + 0.057. Which is the closest to -2\/5? (a) y (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5648346ml to litres.\nAnswer: 0.0005648346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1197*y**3 + 6149 + 6475*y**3 + 164*y**3 wrt y?\nAnswer: 23508*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3510174763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 5411 (b) 0.2 (c) -1 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 42a1 - -11a?\nAnswer: 43bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -150, -534, -1126, -1920, -2910, -4090, -5454?\n\"Answer: z**3 - 110*z**2 - 61*z + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1027?\nAnswer: 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3206*m = -3201*m. Which is the nearest to m? (a) -2\/133 (b) -6 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.64627t in grams?\nAnswer: 14646270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h - 16. Let x be j(7). Let g be 1700\/40*(-1)\/3*x. Which is bigger: g or 28?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - x + 5 = -8, 5*x + 55 = -5*q. What are the prime factors of -10*(-10)\/75 - 12428\/q?\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 7*b. Does 10 divide b + (1 - 4) + 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -379 by -82.\nAnswer: 379\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 1:51 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**2 + 51*d - 39. Determine h(25).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + h - 440. Suppose 0 = -3*z - n + h, -n - 12 = 2*n. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19.017 and -0.3.\nAnswer: 5.7051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (78 + 7*k - 78)*((0*k**2 - k**2 + 0*k**2)*(-43*k + 19*k + 15*k) - 1 - k**3 + 1) in the form r*k + u*k**2 + s + j*k**4 + w*k**3 and give j.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -c - 12. Let n = 12 + c. Let s(g) = n - 4*g - 11 + 2*g + 6. Determine s(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (6\/(-12))\/(5\/24)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -104226100 to the nearest 100000.\nAnswer: -104200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 29*d + 44. Let o be h(-27). Let s(a) = a + 12. Let r be s(o). Solve -4 = -r*y + y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -34, -58, -86, -118, -154?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(4) - sqrt(16)) + (sqrt(68)*1)\/sqrt(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 + 1 + -17)*-1. Find f, given that -22 + 13*f - h*f - 3*f**2 + 16 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -32, -513, -1822, -4373, -8580, -14857, -23618?\n\"Answer: -69*j**3 + 2*j + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180701920 is divided by 1188?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144043540 and 72021770.\nAnswer: 144043540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197 - 8576 = -533*f + 6684 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 6 - 18 = 3*g, -3*d + 21 = -2*g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u. Let j(t) = 47*t**2 - 4*t + 4. Let d(r) = -516*r**2 + 43*r - 43. Let i(n) = 4*d(n) + 43*j(n). Calculate m(i(v)).\nAnswer: 86*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.399 + 8.54863. Let b = -0.149 + v. Round b to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/6 and 11\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 575580 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**5 + 1629*g**4 - 19206*g**3 + 47874*g**2 - 44631*g + 14337 = 0. What is g?\nAnswer: 1, 9, 531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -s**5\/20 - 34*s**2. Let f(p) = -2*p + 1 - 1. Give o(f(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 25. Suppose 22 = r*d - 20. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffffffxxffxxxffff. Give prob of picking 2 f.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 17*r**6\/360 - r**4 - 8*r**3\/3 - 12. Let v(h) be the third derivative of k(h). Differentiate v(i) with respect to i.\nAnswer: 34*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 363 and 6380946.\nAnswer: 70190406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzzn?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186 + 1654 - 135*w - 1466.\nAnswer: -135*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + (sqrt(13) + -2 + 1 + sqrt(13) - sqrt(13))**2 + -1).\nAnswer: -2*sqrt(13) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10365, 16118, 21873, 27630, 33389, 39150, 44913?\n\"Answer: u**2 + 5750*u + 4614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 2. Suppose l*w + 0 + 2 = 0. Let j(o) = -5*o - 1. What is the units digit of j(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-18))\/(-1)*(-7 + ((-300)\/12 - 7))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 9*f**3 - 2*f**2 + f. Let b be v(1). Suppose 5*q = -5*g + 10, g - q = q + 11. Solve -g*n = -d - 5, -b + 3 = 2*d - 5*n for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -205, -427, -635, -823, -985, -1115?\nAnswer: -1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -158? (a) 6 (b) -3\/7 (c) -2\/9 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 5. Suppose -2*k = -0*k + p - v, -3*p + 3 = 0. Let t be (-2 + (1 - k))\/(-1). Put t, -2, -3 in increasing order.\nAnswer: -3, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/6)\/m*m**(-9)*m*m*(m\/m**2)\/m*m*(m*(m**(-20)*m*m)\/m)\/m assuming m is positive.\nAnswer: m**(-169\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22 + -a61?\nAnswer: -a3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1*185\/74*288\/(-30)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*y = 601, 5*d = d - 5*y + 792. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 4:47 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = z - 10. Let s(h) = h**3 + z*h - 1 + 4 + 2 + 4*h**2. Let o be ((-104)\/130)\/((-2)\/(-10)). What is s(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/14 and -89\/4448.\nAnswer: 31136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17883 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 788*d**2 - 262*d**2 - 261*d**2 - 267*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4167532793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 7:21 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -352 divided by 17\nAnswer: -352\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -195 + 275. Let d = -82 + p. Let b(w) = -w**2 - 2*w + 2. Let q be b(d). Solve -q*x = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/4)\/((-42)\/(-16))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/11 + 71570*h\/11 + 357900\/11.\nAnswer: -2*(h - 35790)*(h + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -15*n - 9. Let r(c) = -8*c - 5. Let p(l) = -4*h(l) + 7*r(l). Let x(a) = -26*a - 659 + 654 + 5*a + a**2. Calculate 11*p(d) + 2*x(d).\nAnswer: 2*d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -190254, -190205, -190156, -190107?\n\"Answer: 49*j - 190303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168293607*s**3 + 168293618*s**3 - 336587211*s**3.\nAnswer: 14*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4232 - 33847\/8. Find the common denominator of s and -71\/11408.\nAnswer: 11408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/27 - (-416)\/(-9). Let o = -139\/3 - c. Let l = 5 - 3. What is the third biggest value in -0.1, l, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 46, 69, 112, 181, 282, 421?\n\"Answer: y**3 + 4*y**2 + 4*y + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.8 + -77.8. Let a = p - -74.07. Let h = 4\/31 + 11\/155. What is the closest to -1\/3 in a, h, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2294325 to the nearest integer?\nAnswer: 1515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141548085.\nAnswer: 3, 5, 7, 71, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -9*z**3 - z**2. Let l = 7 + -6. Let v be a(l). Let h be v\/35 + (-2)\/(-56). Which is smaller: 3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 3, 7 in descending order.\nAnswer: 18, 7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12b + 18?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3068 - -3053.974. Let l = 12 + 2. Let t = l + b. What is t rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 956.8 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2\/5 + 2712*a\/5 - 260768\/5.\nAnswer: -4*(a - 562)*(a - 116)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5*q - 441, -4*q - q + 4*d = -461. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, t: 4, b: 3, j: 3}. What is prob of sequence jjl?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 145 - 2?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o**5 + 14*o**4 - 4*o**3\/3 - 40*o**2\/3 - 16*o\/3 = 0. What is o?\nAnswer: -2, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*d**2 - 46*d**2 + 47*d**4 + 27*d**2 + 2*d**3 + 33*d**4 + d as b*d + x + w*d**4 + t*d**2 + p*d**3 and give w.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**4\/12 - 7*v**3\/6 - v**2 + 6*v. Let d(i) = -41*i - 1263. Let h be d(-31). Determine n(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15951 - 51*o + 24*o - 15884.\nAnswer: -27*o + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/5 - 16\/5*j**4 - 6*j**2 - 13\/5*j - 3\/5*j**5 - 32\/5*j**3 = 0. What is j?\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 213 + 15. Let w = -126 + m. List the prime factors of w.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -6*y + 4. Let l(p) = p**3 + 12*p**2 + 17*p - 24. Let w be l(y). What is w rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1815*j + 1214?\nAnswer: -1815","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -7. Suppose -u + 0 + 7 = t. Let x = u - 7. Solve -3*f + x*f - 15 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9*(-2)\/12)\/(1\/12). Let z(s) = -1. Let d(p) = -4*p - 21. Let g(r) = -d(r) + 5*z(r). List the prime factors of g(v).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -q + 3*q - 266, -3*q + 15 = 0. Calculate the highest common divisor of m and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3598 - 493 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -33\/29, 1\/3, 2.2, 4, 1\/6, 1.53?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*(-1 + -2 + (-1*sqrt(720) - sqrt(720))**2 + 4 + -4).\nAnswer: 2882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 384 and 1401472.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 128.13 rounded to zero decimal places?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**4\/9 - 4876*b**3\/3 + 29272*b**2\/9.\nAnswer: -4*b**2*(b - 2)*(b + 3659)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(16\/72) - 1. Solve 5*u = u + q, 0 = a - 4*u + 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a century in months?\nAnswer: 8160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44330568379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, j: 3, f: 1, l: 1, s: 1, o: 4}. Give prob of picking 1 s and 1 l.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20744.5258 + 20740. Round p to 2 decimal places.\nAnswer: -4.53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) -88 (c) -1 (d) -8\/3 (e) 0.3 (f) -2\/149\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijjiijjyjjjijijjj. Give prob of sequence iy.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322814 is divided by 2709.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/5 - (-1947)\/(-30))*2. Let d = -129 - w. Suppose f + d = 1. Does f = 104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/14 - 80\/182. Let u = 20 + -15. What is the biggest value in u, o, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/sqrt(2))**2*-1 + 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 10:55 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**7\/6 + 19*j**6\/6 - j**3\/3 - 363*j**2 - 3504*j. Find the second derivative of q(v) wrt v.\nAnswer: 140*v**3 + 1140*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3111213 to two dps.\nAnswer: 1.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 7 - 8 = -5*c, -2*v - 412*c - 12 = -411*c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -86510464836.\nAnswer: -86510464836.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - 4636?\nAnswer: -4630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 3*b**2 + 52*b + 13. What is p(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*t - 199 = -115. Solve t*l = 2*v + 10, 4*v = -5*l + v + 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u + 7. Let c be b(1). Suppose c = -5*d, 1005 + 546 = 5*p + 2*d. List the prime factors of p.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 - 23*j**2 + 95*j + 119.\nAnswer: (j - 17)*(j - 7)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2)*(-3*d + 0*d + 6*d) - d - 2*d - 4*d + (6 - 3 - 2)*(12*d + 5*d - 2*d) to l + h*d and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2010, 8094, 18248, 32472, 50766, 73130?\nAnswer: 99564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -188 + (3\/((-9)\/(-6)) - 6). Let u = 192 + f. Solve u*k + k - 2 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 33\/5 of a meter?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4176 and 72?\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**4 - n**3 - n**2 + n. Let k(x) = 5*x**3 - 4*x**2 - x. Let w be 7*(6 - 5) + -5. Let i(d) = w*m(d) + 2*k(d). Factor i(z).\nAnswer: 2*z**2*(z - 1)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -63? (a) -3.5 (b) -4\/5 (c) -2 (d) 1 (e) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 4*n - 404 + 447 = 0, 9*d - 5*n = 53 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 553 - -34152?\nAnswer: 34725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2, -27\/2, 141?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 + 59. Suppose 9*b - 1240 - 479 = s. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -585 - -585.00003784. Round a to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-26))\/9*-4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 4979554.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 1 - (-2 - 4). Factor 0*f**2 + 21 - 25 - f**2 + y*f**2 + 4*f.\nAnswer: (f + 2)*(3*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 + 20 = 5*n. Let s = -13 + n. What is the third derivative of -22*g**6 + 5*g**6 + 6*g**6 + 6*g**s + 18*g**2 wrt g?\nAnswer: -600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -179\/3 + 60. Let w = 11 + -9. Which is the nearest to 1? (a) s (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16268, 32479, 48690, 64901?\n\"Answer: 16211*s + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 9:13 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxxxxxxxnxxx.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/13 (b) 2\/3 (c) 1338\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 + 25*f**3 - f - 2*f**3)*(-3*f - 6*f + 8*f).\nAnswer: -22*f**4 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*2*sqrt(102) + sqrt(102))\/((2*sqrt(42))\/sqrt(7) - sqrt(6)) + -3 + sqrt(425) + -2 + 2)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.5 - -3.5. Let m = 0.3 - -2.7. Let k = n - m. What is the smallest value in 2\/9, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 + 642*s - 19 - 36 + 685*s - 1301*s. Give i(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3}. What is prob of sequence aaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**2 + p + 4*p**3 - 7 + 10*p**2 + 4*p - 7*p**2 + p**2. Let s(x) = x**3 + x**2 + x - 1. Give 5*s(o) - w(o).\nAnswer: o**3 - 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2111 (base 3) to base 6\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/5, -3, -0.37, 2, -10?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59533810?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_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: What is 0.4 times -9.4?\nAnswer: -3.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 3, 325, 1 in increasing order.\nAnswer: 0, 1, 3, 5, 325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t. Let z(x) be the first derivative of -123*x**2\/2 + 6*x + 1313. Calculate k(z(f)).\nAnswer: -246*f + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(108) + (sqrt(108) - -2*sqrt(108))).\nAnswer: sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16.4, -0.079, 1\/22, 2\/7, 1 in descending order.\nAnswer: 16.4, 1, 2\/7, 1\/22, -0.079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n - 24 = 2. Let u = -63 - -77. Suppose -20*c + 18 = -u*c. Put n, 2, 0, c in ascending order.\nAnswer: n, 0, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/9, -1.6, -213, -30\/7?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -1\/2, 5, 4, 1425?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1629?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*(n\/(n**(31\/3)*n))\/n*n)\/n*n*n**(12\/11)\/n*(n**(-5\/6))**19 assuming n is positive.\nAnswer: n**(-1589\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 668b (base 15) in base 2?\nAnswer: 101010011100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2*-2 + 459\/459\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1535255 + 144?\nAnswer: -1535111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 0 - (74 + -84) - (-2 - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 490\/3 - 3607\/21. What is the common denominator of n and -3 - 2 - (-928)\/48?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 278*j**4 - 2471*j - j**2 - j**2 - 625*j**4 + j**3 - 289*j**4 wrt j?\nAnswer: -7632*j**2 + 6*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7381 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 27*n**2. Let y(w) = -266*w + 49. Let m(a) = 11*a - 2. Let s(h) = 49*m(h) + 2*y(h). Give s(j(g)).\nAnswer: 189*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-3))\/((-1968)\/(-2952)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -5*y + 16 + 11, 0 = -2*y + 5*o + 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide -9 - 0 - -4*270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 8*z + 18. Determine v(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/45*12\/(-16)*(-6)\/(-2)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 868211868\/5512 + (-2)\/52 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 56\/20*-1 - (-4 + 3). What is the second biggest value in 5, 6, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 + -68. Let l = m + 100. What is the closest to -0.4 in l, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 0*x**2 + 0*x**6 - 2\/3*x**3 + 5 + 0*x**5 + 0*x**4 + x**7 + 0*x. What is the third derivative of g(w) wrt w?\nAnswer: 840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 913*p**2\/2 - 456*p - 1\/2 = 0.\nAnswer: -1\/913, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-104)\/(-40) - (-6)\/(-10). Suppose -f = -2*s + 4. What are the prime factors of 20 - 1*(0 - s)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from cjccjcccccccc.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**2 + 0*l - 5*l + l = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351216504 a multiple of 3670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 559086826 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -527 times -658?\nAnswer: 346766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 94.04547ms?\nAnswer: 0.0015674245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**6\/5 - 13*f**5\/15 - 4*f**4\/3 - 2*f**3\/3 + 43*f**2. Factor d(p).\nAnswer: -4*(p + 1)**2*(6*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1092 + -12?\nAnswer: -10a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50.5 + 38. Let p = 13 + q. Which is the biggest value? (a) -1 (b) -5\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**4 + 2*k**4 - k**4)*(-3 + 0 + 5) + k**4 + k**4 - k**4 + 0*k + 0*k + k**4 + k**4 + k**4 + 0*k**4 - k**4 + 13*k**4 + 20*k**4.\nAnswer: 38*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 5*c**2 - 6*c - 1. Let u(q) = 2*q + 8. Let z be u(-7). Let w be n(z). Let k = 4 - w. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 13*l = 2, 3*r - 13 = -81*l + 77*l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 5*h**3\/6 - h. Let k(l) = 28*l**2 - 58*l**2 + 31*l**2. What is y(k(p))?\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 7 + -9 + -10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 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: Let a = -10 + 18. Solve -4*j - 8 = -a*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36.8 - 36. Let d = 0 + 0.3. Let k = 1000 + -999.5. Which is the third smallest value? (a) u (b) d (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, 3, 7, -11, -8 in increasing order.\nAnswer: -11, -8, 1, 3, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -447 less than or equal to -446?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*f**5 - 7*f**4 + f**3.\nAnswer: f**3*(f - 1)*(6*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**2\/2 + 31*p - 63\/2 = 0.\nAnswer: -63, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 16 (b) -0.1 (c) -2\/7 (d) -1\/20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8121374?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 83132 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21991 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -2*o**5\/5 + 171*o**4\/2 - o**3 - 1849*o**2\/2 + 11741. Find the second derivative of w(z) wrt z.\nAnswer: -24*z**2 + 2052*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 1442300?\nAnswer: -1442301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 - 2360*g**3 + 1397112*g**2 - 5560160*g + 5550736.\nAnswer: (g - 1178)**2*(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -222.\nAnswer: 1\/222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*v - 188 - 242 = 110 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 20*o - 6. Let l be w(-3). What is the units digit of ((-6)\/4)\/(3\/l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 10:35 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -150150 (base 6) to base 2\nAnswer: -11011111110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3212324 (base 5) to base 7\nAnswer: -313460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) -32 (c) 4\/15 (d) 0.35 (e) -3.4 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -566, -2279, -5134, -9131, -14270, -20551?\nAnswer: -27974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2370862 (base 10) to base 15.\nAnswer: -31c727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 1. Let n(z) be the second derivative of -z**4\/2 + 3*z**2\/2 + 9*z. Calculate -3*g(t) - n(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 76*r + 207. Calculate k(-78).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*d + 8 = 35*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131303, 264031, 396759, 529487, 662215?\nAnswer: 794943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 18*i**2 - 298*i + 1745. Give p(6).\nAnswer: 605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 431361 and 862722.\nAnswer: 862722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2125605744 a multiple of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -48191487, -48191491, -48191495?\n\"Answer: -4*z - 48191483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*o + 2. Suppose -201 = -o*b - b. Suppose -y - 2*j = 0, 6*j - 5*j = -4*y + 35. What is the remainder when b is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**3\/6 - v**2\/2 - 4*v. Let k(c) be the second derivative of -c**3\/6 + 734*c. Calculate k(n(j)).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 - 14*b + 6. Let g be z(-7). What are the prime factors of ((-508)\/g)\/(4\/(-6)) + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6776065.2 to the nearest 1000.\nAnswer: -6776000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1246 = 11*g - 11899. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + -5. Let a = -10 - z. Is (-2)\/a + (-9810)\/(-110) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -34900, -34914, -34928, -34942, -34956?\n\"Answer: -14*l - 34886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2097 - 3667. Round t to the nearest ten.\nAnswer: -1570","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 2:20 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*d + 18 - 47 = 0, -4*d = -12. Let n = i + 5. Let s = 8 - 3. Calculate the remainder when n is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*572\/(-176) + (-3)\/(-4).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 778? (a) -51 (b) -2 (c) -3 (d) 27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (1 - 1) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2675411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, j: 3}. Give prob of sequence kk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2 - 62*k + 205. Let l be m(-34). Solve j - 3*h = -3, l - 7 = 5*j - 6*h for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -230, 13 in descending order.\nAnswer: 13, -29, -230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 n when three letters picked without replacement from nqnnqqnnnqnnnnqqnn.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7325 or 7177?\nAnswer: 7325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c*c**(-1\/7)*c**(-2\/29)*((c**(-5\/6)*c*c)\/c)\/(c*c\/c**6*c*c*c) assuming c is positive.\nAnswer: c**(4817\/1218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5*d = -17790, 15*y + 2*d = 18*y - 10654. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, p: 4, c: 8, u: 4}. Give prob of picking 1 p and 2 u.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 17*j + 1991. Suppose 2*z = -j + 671. Calculate the highest common factor of 35 and z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -1485*p - 18. Let i be j(3). Let k = i + 7044. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/6)\/((-1)\/9). Let t = -2 + f. What is the units digit of (-4)\/t + 1133\/77?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -435 + 430. Put 1, 2\/11, w, 0 in ascending order.\nAnswer: w, 0, 2\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**4\/3 - 138154*s**3\/9 - 259991596*s**2\/3 + 19662579976*s + 13146899376 = 0.\nAnswer: -11622, -2\/3, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 802749*i**4 - 179377*i + 9?\nAnswer: 9632988*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1421 is divided by 181.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*11935\nAnswer: -716.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 466.\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 2) + (5 - 10) + 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 151476178, 302952359, 454428540, 605904721, 757380902?\n\"Answer: 151476181*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1133 is divided by 148?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*o + 19 = -74*o + 5*d, 1 = 3*o - d for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/48 and 16\/81?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2277)\/66*1*(-2)\/132 and 61\/6.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 + 60. Suppose 3*h - 8 = 13. Let n be (0 - 1)*(h + -3). Which is the smallest value? (a) v (b) 0 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 5:43 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 = -7*s + 2*s. What is the least common multiple of s and (-24)\/(-16) - (895\/(-10) - -11)?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 50 = 2*p + 2*p, -5*p - 3 = q + q for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 213*r**2 + 21*r - 20. Let k be n(6). Suppose 5*d = 566 + k. What are the prime factors of d?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(1 - (-3 - -2)). Suppose -p*a + 13 = -g, -3*g - 1 = 2. Let c = a - -8. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 12*n - 16 = 0. Suppose p - n = 3. Solve 4*i - 13 = p for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (-4 - (0 + -1)). Suppose a = 5*y - 199 - 96. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 305 + -302. Solve 1 = -4*y - a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 6*q - 4*g = -4*q - 22, 18 - 33 = 5*g for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -438 + 428.14. Let i = 113.86 + t. Does i = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1143 is divided by 88?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 29, -2, -579172 in decreasing order.\nAnswer: 29, 2, -2, -579172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32 - -2) + (-80 - (-76 + -8)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 6 + 12*x + 7 + 3 as l*x + n and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/19 (b) -14 (c) -55396 (d) 0.03 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 203970 and 13728?\nAnswer: 35898720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 511676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1085072?\nAnswer: 2, 73, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 2. Let k = z + 1.9. Let t = -27 - -22. Sort 1\/4, k, t in ascending order.\nAnswer: t, k, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(0 + 0 - 3)*(2 + 3*r - 2)*(1 + 2 - 5) + 21*r + 12*r + 21*r.\nAnswer: 72*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c - 12. Let z be m(-10). What is the common denominator of 2 + (-1)\/14 + 3 and z\/(-15) + 1076\/(-120)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7143.51614 rounded to the nearest 10?\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*f + f + f)*(4*f + 2*f - 3*f)*(-10 + 11 - 5 + 4 - 4 + 1 + (-2 + 4 - 1)*(-1 - 1 + 0)) to h + t*f + j*f**2 and give j.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -757*n + 4606. Give a(7).\nAnswer: -693","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 102 + 102 - 206 - 2*p**3 + (-p**3 - 3*p**3 + 2*p**3)*(2 + 1 - 1).\nAnswer: -6*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 less than 1896\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*d - 8 = 48*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3\/358997?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -10*o**3 + 8*o**2 + 43*o - 197. Let x(v) = -2*v**3 + 2*v**2 + 10*v - 49. What is -2*h(m) + 9*x(m)?\nAnswer: 2*m**3 + 2*m**2 + 4*m - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132 by -6.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65 + 66. Let y(d) = 0*d - 3*d - 6*d + 15 + 6*d. Calculate the least common multiple of y(3) and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 + 18?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + (8 - ((-2 - (13 - -9)) + 17))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.43796 and -0.4.\nAnswer: -0.175184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 12:18 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4427 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 - 16*i - 5. Let k be m(8). What is the biggest value in k, 5, 2\/61?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 5*q**2 - 2*q - 6. Let f = -291 + 303. Calculate the remainder when k(-6) is divided by (-6)\/24 + 30*f\/32.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1067 + -1063. Suppose 3*k - 65 = -59. Solve -j = -2*o - b, 7*j - 6 = k*j + 3*o for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 902, 1760, 2618?\n\"Answer: 858*y + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 a factor of 176827588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8299.\nAnswer: 43, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 215.0307 - 0.0307. Let s = -214.9999994 + k. What is s rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126511, -126519, -126527?\nAnswer: -126535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13845120)\/122587 - (-1)\/(-17)?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1\/8 (b) 4.7 (c) 5 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*a + 12 + a - 12.\nAnswer: -74*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 4*l = 0, 2*j - l = 4*l for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 6*k. Let z be u(6). Suppose 0 = 3*r + 3*r - z*r. Solve -2*p + 4*t = 4, 3*p = -r*p + 2*t - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12459?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 17897640.\nAnswer: 17897640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11194015.1 - 102864.\nAnswer: -11296879.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0*o - 4*o + 15, -4*o = 3*l - 3. Suppose i + 48 = o*g, -7 = -i - 4. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 29. Let x(u) = 4 + 3*u + 2*u - 3*u. What is the remainder when 46 is divided by x(c)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2 - 27*f - 22. Let o be q(-12). Suppose 0 = 13*y - o*y + 3. Solve -4*u + u = -y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 - 198*m**2 - 197*m.\nAnswer: -m*(m + 1)*(m + 197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7980 or -7982?\nAnswer: -7982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42.031 + -0.031. Let l = -42.1 + p. Which is the third biggest value? (a) -0.4 (b) 0 (c) 0.3 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 135\/2, 3\/5, -0.4?\nAnswer: 135\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9038683 - -3?\nAnswer: 9038686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -7)*3\/15*-2. Factor -5*p**4 + 28*p - 34*p + 15*p**b + 16*p.\nAnswer: -5*p*(p - 2)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52090 is divided by 17360.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110, -5, -1 in decreasing order.\nAnswer: 110, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.198? (a) 0.2 (b) -3 (c) -32 (d) 7.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**4\/24 + s**3\/6 + 11*s**2. Let j(b) = b**3 - 8*b**2 - 11*b + 10. Let z be j(9). Let i be (2 + (z - -3))*2. What is k(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 0.7, 1\/3, 0.03, 1\/5 in increasing order.\nAnswer: 0.03, 1\/5, 2\/7, 1\/3, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 2) + 19 + -17.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 48 - 47 - (-2)\/(-2). What is the closest to p in -2, 0.2, -1, 3\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 27 + g - 270*g**2 + 271*g**2 + 86. Calculate the remainder when b(0) is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1474*l**2 - 1467*l**2 + 7332*l**2 - 1469*l**2 - 1460*l**2 - 1464*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2\/9 (b) 0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1504, 2992, 4470, 5932, 7372, 8784, 10162, 11500?\n\"Answer: -h**3 + h**2 + 1492*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22705247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 755*c - 262 + 791 - 265 - 264 to the form q*c + v and give q.\nAnswer: 755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3008*c**3 + 3007*c**3 + 5*c + 3011*c**3 - 12046*c**3 + 3015*c**3.\nAnswer: -5*c**3 + 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 802300 or 802360?\nAnswer: 802300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -510? (a) -436 (b) 4\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.94 + -553.94. Let a = t + 532.3. Round a to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s - 33. Suppose -x + 153 = 2*q, 73*q = 74*q + 4*x - 80. Suppose 4 - q = -5*h - 3*w, -3*w - 12 = -2*h. Calculate b(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -41, 10, 4.\nAnswer: -41, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17826, -17824, -17812, -17784, -17734?\nAnswer: -17656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 1. Let m(i) = i + 5. Let f = 2 - 7. Let s(y) = f*t(y) + m(y). Let v(r) be the second derivative of -r**3\/2 + r. Determine s(k) + v(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10816680 and 1931550.\nAnswer: 54083400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-48)*m)\/(m*m*m**(-44)) assuming m is positive.\nAnswer: m**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.024, 3\/4, 4 in decreasing order.\nAnswer: 4, 3\/4, -0.024, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7683164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 2)*(o - 2*o - o) + 5*o - 2*o - o - 3*o - 3*o + 4*o + o + 0*o + 0*o - o - 4 + 4 + 201 - 201 - 25*o to r + s*o and give s.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 5*z - 6. Suppose -2*l = h - 18, 26 - 10 = z*l + 2*h. Suppose -r = 3*m + m - 19, -2*r + l = m. Let y(x) = -3*x + 3. Determine y(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.49 + -0.39. Let i = -9635 - -9624. Sort p, 2, i, -1\/2.\nAnswer: i, -1\/2, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -55. Let m = j + -9. Calculate the highest common divisor of m and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11\/22)\/(2\/48). Does 19 divide (-3 - z\/(-20))*-40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123562652.\nAnswer: 2, 31, 557, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 3 - (4 + 1 + -6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/7 in -6, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*q**2 - 2231*q + 11*q**2 + 2231*q + 17*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 714499330?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*b + 2*b + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbn when three letters picked without replacement from nwggwgwwwwpwwwwnwpwb?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 4*x**2 - 4. Let n be d(3). Solve 5*l - 4*o = -n, -3*l = o - 4*o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-0.774863\nAnswer: -0.0774863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*1 - sqrt(19)) + sqrt(228)\/sqrt(48).\nAnswer: 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of b**5\/60 - 11*b**2\/2 + 9. Let h(d) be the second derivative of g(d). Let k(n) = -n. Calculate h(k(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 7*a + 14. What is the least common multiple of i(6) and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014225 rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(6*j**2 + 10*j - 10*j).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5)\/2*124\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-676)\/(-1014))\/(-4 - (114\/(-27))\/1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3335178?\nAnswer: 2, 3, 7, 11, 7219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcpewcwwwppepwjjcwp. Give prob of picking 2 e.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = d - 2*f - 12, 3*d = -2*f + 78. Suppose 41 = 2*k + 3*a - d, -5*a = -k. Calculate the remainder when k is divided by (1 - (1 - 2)) + 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 422261 (base 7) to base 15\nAnswer: 168c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 146619 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.679976 months in centuries?\nAnswer: 0.01389998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 271291 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 - -52. Let p be 476\/(-6) + (-4)\/12*l. Let s = p - -166. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 861.8 * 0.1\nAnswer: 86.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2380016 to the power of 1\/2, to the nearest integer?\nAnswer: 1543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.702 - -0.70218202. What is y rounded to 5 dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 15 = 50. What is the tens digit of (84\/6 - t)*81\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 305 = 8*s - 3*s, 5*v - s = 311. Does 31 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.99083 tonnes in kilograms?\nAnswer: 12990.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32? (a) -3 (b) 2\/3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14 + 10)*14\/4. Let j be (r\/4)\/7*-4. Suppose -j*y + 5*n - 2*n = -21, 0 = 2*y + 4*n - 28. Calculate the smallest common multiple of 14 and y.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -9 + 4 + -4 + (33 - 4)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w**4 + 2*w + 2*w**2 - 4*w**2 + 15 - 15 to the form x*w + o + m*w**2 + j*w**3 + v*w**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5\/3 + 232*c**4\/3 - 9778*c**3\/3 + 39000*c**2 - 131616*c - 173952 = 0 for c.\nAnswer: -151, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**3\/2 - 6*a**2 + 11*a\/2 = 0. Calculate a.\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 220 - -35?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 5\/(-10))*2. Let b be 126\/(-10) - (-4)\/(-10). Let w = b - -18. Sort w, g, 2 in ascending order.\nAnswer: g, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 5:33 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 216 and 38982188.\nAnswer: 2105038152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6031 + 123?\nAnswer: -5706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cii when three letters picked without replacement from {i: 2, c: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (127097 - -2) + (2 - (-12 - -16)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/12)\/(20\/(-30)))\/((-3)\/(-84))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*o - 2 = 0, 2 + 10 = 3*o. Suppose m + 1 = 5. Calculate the greatest common factor of g and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/33 and 19\/22302.\nAnswer: 245322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4002 - 3979. Let x be 1\/((-5)\/6*2). Which is the closest to y? (a) -1\/12 (b) -2\/15 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294 = 12*j + 19*t, -3*j = j - 47*t + 52*t + 74 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57 - 8) + -14 + -7 + 8.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -2*j**2 - 5*j - 224. Give f(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - z**2 - 4. Is 22 a factor of y(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 2. Let w = -175 - -169. Let r = f - w. Which is the nearest to 1? (a) 2\/7 (b) r (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12034 + 12034.2. What is the closest to -1 in -11, l, 2\/55?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 6*b**2 + b - 4. Let l be 9*((-276)\/(-27) - 9). Let y(v) = -17*v**2 - 2*v + 11. Give l*r(c) + 4*y(c).\nAnswer: -2*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*x, -4*b - 4*x - 206 = -9*x. Which is bigger: -53 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -25 + 47. Suppose 0 = 2*r + 4*u - 14 - 0, 5*r - 2*u = y. Suppose -2*t = -r*a - 3*t + 198, 0 = a - 3*t - 66. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)*w)\/((w*w*w**(-2)\/w*w*w)\/w)*(w\/(w**5*w))\/w**5 assuming w is positive.\nAnswer: w**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 332*d**2 - 159694*d + 1477. Give a(481).\nAnswer: 515","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80192 is divided by 1485?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -6*y + 41. Let q = 30 + -31. Let f(w) = w**2 + 3*w + 2. Let l be f(q). Solve l*o - 2*o = 3*d + 1, 0 = -4*d + 5*o + y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4 = -0. Suppose s = 4*x - m*s - 17, 0 = 5*x - 3*s - 19. Suppose 0 = x*b + 4, 0*h - 33 = -h - 4*b. What is the remainder when h is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -65\/2188214 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 16*y**2 + 17*y + 26. Determine m(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3025931110.\nAnswer: 2, 5, 107, 2827973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 106213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 176742.33 months to years.\nAnswer: 14728.5275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 3*n - 58*n**3 - 18*n**2 - 189\/5*n**5 + 66 - 69*n**4 - 8*n**6. Determine v so that b(v) = 0.\nAnswer: -1, 1\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120358291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 9.16. Let z = -88.06 - -88.3. Let w = t + z. What is the closest to -2 in -4\/3, w, -1\/2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07 and 1297.921?\nAnswer: -90.85447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -4 - 3 - -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1048.32814 to 0 decimal places.\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200091 is divided by 1042.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 22 + (4 - 14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 - -4 - 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -38.7 times 847.895\nAnswer: -32813.5365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 2*l - 24, -11*y = -56*y + 17*y + 5*l + 142 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.3 and 122.94586.\nAnswer: -159.829618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3057*f + 0 + 0 - 3063*f. Let m(h) = -33*h. Calculate s(m(a)).\nAnswer: 198*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4 + 4 = 5*o, c + 18 = 3*o. Let q = -4 - c. Let g(u) = u**3 + 4*u**2 - u + 1. Let v be g(-4). Solve v = -q*l - 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, 0.4, 0, -19\/96, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -200405.59.\nAnswer: -80162.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p + 2. Let d be g(-9). Let v = d + -60. What is the units digit of (0*(-2)\/v)\/(-1) + 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**5 + 0*c**5 - c**5 + (3*c**4 - 3*c**4 - c**4)*(2 - 2 - 2*c) - 8*c**5 + 6*c**5 + 8*c**5 + (c**4 + 3 - 3)*(-c - 4 + 4) + 5*c**5 - 4*c**5 - 5*c**5.\nAnswer: 6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5 + ((-5 + sqrt(176))**2*-3 + sqrt(176) - (-4 + (-4*sqrt(176) + sqrt(176) - sqrt(176)))**2) + -2)*1.\nAnswer: -3431 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 21*y**2 + 25*y + 103. What is t(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.7, 1, -3\/5.\nAnswer: -3\/5, -0.1, 0.7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven quarters of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 + -108 + 134)*8\/(-3).\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 39122\/21887?\nAnswer: 39122\/21887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 14800. Let z be s(0). What is z rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -3. Suppose 3*b + b = 4*t + 24, 0 = 4*t + 20. Sort v, b, 3.\nAnswer: b, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*t**4 + 4*t**2 + 23*t**4 + 17935 - 18168 + 24*t**4 wrt t.\nAnswer: 164*t**3 + 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15964, 61745, 137374, 242851, 378176, 543349, 738370?\n\"Answer: 14924*h**2 + 1009*h + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/1*(-6)\/36.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(-1)\/(-2 + 4). What is the units digit of (-2 - v)*(5 + -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 30*a**3 - 157605*a - 33617148 wrt a?\nAnswer: 90*a**2 - 157605","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (-1 - (0 - 3)). Suppose -2*j + 712 + 286 = y. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10476 - -11780. Is u a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 608*c**3*s*w**3 + 4*c**3*w**3 + 9*c*w**3 + 2*s*w**3 wrt s?\nAnswer: 608*c**3*w**3 + 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 968641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-109*o + 56*o - 136*o)*(0 - 2*o + 0).\nAnswer: 378*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88266151\/3401 - 25953. Is s bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 3*d + 8. Let r be q(7). Let u(i) = 2*i**3 - i**2 + i - 9. Let x be u(-3). Let p = r - x. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3026 equal to 39330\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (56\/(-42))\/((2\/(-9))\/1). Is -20*u\/24*(-4 + 2) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -40*u + 6*u + 9*u + 8*u + 11*u. Let s(r) = 12*r. What is s(j(i))?\nAnswer: -72*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - s**2 - s + 200. Let m be p(0). Suppose 8 = 6*y + m. Let z be (-2*(-60)\/32)\/((-6)\/y). Calculate the greatest common factor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 2*v + 7. Suppose -15 = -4*w + d, 18*d + 15 = 21*d. What is y(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 3:44 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t - 13. Let p be 3*(0\/(-2) + 2). Let f be y(p). Solve 0 = -4*z - f*i + 14, 4*z = -4*i + 18 - 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 1. Let m be (-2)\/(0 + b) - -5. Is m at least as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15608, 19002, 22394, 25784, 29172, 32558, 35942?\nAnswer: 39324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96 - 747 - 4*p**2 + 651.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32814060?\nAnswer: 2, 3, 5, 487, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -698, -684, -656, -608, -534, -428?\n\"Answer: z**3 + z**2 + 4*z - 704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w + 9*w - 5*w + 4*w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 46 = 5*q - 4*d, -4*q + 26 = 3*d. What is the remainder when 85 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 + 153606*i**2 - 2949580800*i + 8847360000.\nAnswer: -2*(i - 38400)**2*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -8*a - a + 6*a. Let u(l) = 6*l - 5. Let t(k) = k - 1. Let z(c) = -10*t(c) + 2*u(c). Calculate z(s(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5 = 3. Let p(k) = -6*k + 214. What is the lowest common multiple of p(32) and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 47 + 37)*(-41*m - 2168 + 2168) - 3*m - 3 + 4*m + 2.\nAnswer: -2336*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 105 = p. Let j = p + -31. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}