diff --git "a/data/dm_maths/full_data/1193_11255.jsonl" "b/data/dm_maths/full_data/1193_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1193_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Which is the closest to -1\/24? (a) -0.5 (b) -2 (c) 0.16 (d) -60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*u = 103*u + 44. Suppose -49*o = -u*o + 50. Is o smaller than -43\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 9791.\nAnswer: -1\/9791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -4 + (-94)\/(-12)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, z: 1, g: 2, i: 1}. What is prob of picking 2 q, 1 i, and 1 z?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -9*i + 62. What is the remainder when i is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.532 and 49221.\nAnswer: 49220.468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 3899324 and -193.6.\nAnswer: 3899130.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*b**2 + 9*b + 15*b**2 + 6*b + 6*b to the form a + s*b**2 + j*b and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21162372.\nAnswer: 2, 3, 7, 11, 37, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -5) + (-2 - 3) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 8 + 1)*(2*h + 11*h + 5*h).\nAnswer: 54*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.892, 0.02, -1.3, 0.4?\nAnswer: 0.892","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/3)\/(3\/9). Let w = j + 3. What is the second derivative of -2*s**4 + 0*s - w*s + s**4 + 3*s**4 wrt s?\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10829, 21657, 32485, 43313, 54141?\n\"Answer: 10828*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2839995 + 23960005. Round w to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.13613 + -10.13. What is g rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3 = -11, -32 = -2*k + 3*y. Solve 6*o = o + k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 - -47. Let n = 60 + -50. Let x(o) = o**3 - 9*o**2 - o + 1. Let t be x(n). What is the highest common divisor of c and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -23252*x - 1890. List the prime factors of r(-3).\nAnswer: 2, 3, 11311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1534.092 millennia to months.\nAnswer: 18409104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 10*b**2 - 11*b + 160. Let l be j(-12). Let f = 2.9 - -1.1. Let a = 4.07 - f. What is the biggest value in a, l, 2\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = j - 4*q + 1392, 5*q = -j + 356. Suppose o + 284 = -j. What is the common denominator of -43\/6 and o\/52*(-1 - (-7)\/6)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 29. Let q be k(27). Suppose q*x + h - 2437 = 0, -2*h - 5 = 3*h. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-10))\/(2\/(-10)) - -10. Let q(a) = -g*a - 22*a + 29*a. Let v(d) = 5*d - 1. What is -6*q(u) + v(u)?\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 6:18 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 4*m**3 - 1\/4*m**4 - 11*m - 3 - 9\/2*m**2. What is the units digit of b(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.505969ml in litres?\nAnswer: 0.000505969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(990\/(-69)) - 6\/33. Let y = -3.4 + 24.4. Which is the third biggest value? (a) y (b) 0.3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4858, 20244, 45888, 81790?\nAnswer: 127950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4149721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 67*a**3\/3 - 2*a**2 + a - 20. What is the hundreds digit of c(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 7696533.\nAnswer: 1\/7696533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 352, -173, 3\/5?\nAnswer: 352","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5534?\nAnswer: 2, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3448 + 3459 + (2 - (-39 + -3)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27024, -54201, -81392, -108603, -135840?\nAnswer: -163109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 25*j - 3019 = -27*j, -3*w + j = 1811. Let r = w + 629. Calculate the remainder when 257 is divided by r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -223, 0, 1, 5, 66, -1 in descending order.\nAnswer: 66, 5, 1, 0, -1, -223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3859*c**2 - 1790?\nAnswer: -7718*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 38472?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/2)\/(3\/250*-5). What is the greatest common factor of w and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 11:27 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 4\/(7\/((-28)\/(-8)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + r + 2. Suppose 0 = u + 2*u + 3*a, 0 = 5*u + 4*a. Let l be h(u). Suppose -l*f - 3*f = -245. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 8*l**2 - 11*l - 89. Let m be a(-8). Let i(o) = 20*o + 25. Let p(t) = -t - 1. Give m*i(r) - 25*p(r).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10820827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 4 + (-11 - -9 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 2:37 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3\/7 + 2052*u**2\/7 - 350892*u\/7.\nAnswer: -3*u*(u - 342)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6201 + 4225. Let i be u\/(-40) - 6\/15. Let v = 50 - i. Solve -4*h + 9 = v for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0.2, -3, 74?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n**2 + 1784 - 902 + 4*n**3 - 882 - n**2.\nAnswer: 4*n**3 - 9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -15315 (base 11) in base 12?\nAnswer: -10663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - v - 24 = -m, 5*v - 3*m + 30 = 0. Let t(l) = l + 3. Let j(i) = i + 4. What is v*t(q) + 5*j(q)?\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1072600 by -1.\nAnswer: 1072600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*h = 17, 0 = 2*p + h - 8 - 5. Suppose -p*x = -2*x - 10. Suppose -x*l = l - 9. Solve v = l*v + 5*z - 25, 22 = 2*v + 4*z for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482\/878137 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**4\/24 - w**3\/4 + 12*w. Find c, given that f(c) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 8*u**3 - 4*u**2 - 1050*u + 1054. Determine o(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14220667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12101222202002 (base 3) to base 6.\nAnswer: 141331215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1872207000 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 1:17 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(3 + -2)*63\/(-18). What is the units digit of (0 + a\/(-2))*(-2 + 24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 1\/2*s**2 + 3*s - 4 + 1\/3*s**3 + 1\/4*s**4. Let q be t(0). What is the closest to -0.2 in -2, q, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 154\/(-110) + 11\/(-10) - (-21)\/(-2)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -124647?\nAnswer: 249294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -70 (c) 1842197\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 67949 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -264 + 105. Let s = 161 + l. Which is the closest to -0.06? (a) -5 (b) s (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 360137 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*u + 57*u - 141*u = 0. Which is smaller: u or 29\/500?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.5058 - -893?\nAnswer: 878.4942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 15*m - 450. What is p(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t**2 - 7 - t**3 - 8*t + 13*t + 6. Let s(g) = 3*g. Let f be s(-2). Let q be y(f). Solve 0 = -4*h + q*o, -h = 5*o - 0 + 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11780638 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 431587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4*y + 354, 0 = y - 0*g + 5*g - 111. List the prime factors of 4 - (-1 + 3 - y).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 8*l + 90 = 0. 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: Suppose 5*d = -0*f + f + 71, 0 = 2*d - f - 26. Let o be (d + 1)\/1*2. Suppose -3*u = 11 - o. Do 7 and u have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 890259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/21315 and -97\/3654.\nAnswer: 127890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 - 82 + 165 = -18*i. Let o(c) be the first derivative of i*c**2 + 21*c + 26 - 17\/3*c**3. What is the first derivative of o(z) wrt z?\nAnswer: -34*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1114163573 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(9\/2)*k\/(k*k**(-13))*k**(-1\/10)*k*k**11)**40 assuming k is positive.\nAnswer: k**856","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -319.7 - -316.7. What is the closest to 0.1 in i, -545, 4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/((sqrt(7)*-2 - sqrt(7))*6))**2.\nAnswer: 11\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z + 4. Let y(j) = j + 1. Let n(m) = m**2 + 13*m - 12. Let k be n(-15). Suppose -3*l + k = 12. What is l*x(c) - 6*y(c)?\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19208*m + 710619 = 13865*m for m.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0032112452 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 4*c - 34, -1 = n - 4*c - 11. Let y = n - 2. Suppose -114 = -5*o + 3*f, f - 72 = -y*o - 3*f. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0043749 and 0.05.\nAnswer: -0.000218745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46*s**2 + s**2 + 199*s**5 + 403*s - 48*s**2 wrt s.\nAnswer: 3980*s**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -110*k**3 - 3*k**2 + 15*k + 27. Let d be n(-3). What is the common denominator of -76\/63 and ((-67870)\/d)\/(-11) + (-2)\/13?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 3. Let q be j(-3). Let k be (-3)\/q*-6 - 0. Solve i - k = -4*d - 2*i, -d - 3*i = -3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -6*a**2. Let h(x) = -40*x**2 - 2. Let j(i) = -2*i**2 + 1. Let n(z) = -h(z) - 2*j(z). What is l(n(s))?\nAnswer: -11616*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g*g*g**4))\/g**(3\/4)*g**(-5)*g**(4\/7)*g*g)\/(((g*g**(-6))\/(g*g**(-6)))\/(g**3\/g**4)) assuming g is positive.\nAnswer: g**(-229\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 424703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03 + 0.43. Suppose -2*a + 6*t - 6 = 7*t, -4*a + 2*t = 20. What is the nearest to z in a, -7, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -1\/10*l**6 - 6\/25*l**5 - 8 + 6\/5*l + 3\/10*l**4 + 8\/5*l**3 + 21\/10*l**2. Factor a(u).\nAnswer: -3*(u - 2)*(u + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2875*p - 2873*p + 11 - 4)*(-3*p - p + 5*p) as t*p**2 + u + q*p and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*d - 48*d - 4*d + 20*d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**5 + 1100*d**4 - 70985*d**3 + 1117710*d**2 - 1960200*d = 0. Calculate d.\nAnswer: 0, 2, 20, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 31. Let m(d) = -d**3 + d + 1. Let x(w) = 6*w**3 - 6*w - 5. Let b(a) = n*m(a) - 2*x(a). Factor b(u).\nAnswer: -2*u*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110111 (base 2) to base 13\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-7)*s\/s**(-8)*s*s*(s*(s*s**(2\/5))\/s)**(-1\/10) assuming s is positive.\nAnswer: s**(193\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 4*m = 5*w + 10, -5*m = 25. Suppose 4 = 4*i - r, -w*i - 2*r = -i + 8. Solve 4*z + z + 10 = i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(77) - (sqrt(77)*-1 + sqrt(77)))*5*3)\/((sqrt(66) + 3*sqrt(66)*2)\/(sqrt(24)*1)).\nAnswer: -180*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 26, 85, 180, 311, 478, 681?\n\"Answer: 18*g**2 + 5*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + o + o)*((-2*o - o + o)*(-3 - 4 + 17) + (o + o - o)*(0 - 5 + 3) + 1 - 1 - o + o + 3*o - 7*o).\nAnswer: -78*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 71*j - 2484. Let s be m(35). Solve -p + s = 3*g, 9*p = 10*p - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 11\/10 of a microsecond?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 3*x**2 + x - 2. Let v be o(-3). Let c be ((-1)\/3)\/(2\/(-12)). List the prime factors of (1\/1 - c)*v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 8. Suppose -l + 3*l + 4 = -g, 3*l = -x. Calculate the remainder when g + 0 - 28\/(-2) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + o - 2. Let k be 6\/(-1 - (-3)\/(-6)). Let g be (-12)\/18 - k\/(-3). Give j(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-8))\/(380\/1216).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 32 (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4097537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -6\/5 (b) 1.9 (c) 2\/11 (d) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 9*r - 64. What is t(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32.62 + 24.62. Which is the second biggest value? (a) j (b) -3\/4 (c) 0.1 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/5596540 and -123\/18440.\nAnswer: 11193080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -14*1)*1. Suppose t = 5*u - 14. Let p = 1 + -1. Put 4\/7, u, p in increasing order.\nAnswer: p, 4\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*f - 192 = 2*m + 49*f + 44*f, -3*m = 8*f - 2*f - 300 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*z**4 + 41661439*z**3 - 388*z**2 - 8338*z - 2 wrt z?\nAnswer: 48*z + 249968634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - -3 - (-4)\/(-2). Let k be 96\/(-42)*(-14)\/y. Round k to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + z + 1, 0 = 3*v - 5*z - 0*z - 5. Suppose v*j = 3*j. Solve -2*l + c = 8, 2*c + 12 = -j*l - 3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4024\/13*q + 2\/13*q**2 + 2024072\/13 = 0.\nAnswer: -1006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44383 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4*12\/9)\/4\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -17*v**2 + 31*v - 2. Calculate q(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 115, -86, -709, -1964, -4061, -7210, -11621?\n\"Answer: -35*v**3 - v**2 + 47*v + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 0*q + 2*q + 5 = -5*b, -3*b - 35 = 2*q for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/5, -40, 2, -0.0623, 6?\nAnswer: -0.0623","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 83 - 38 = 0 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233332 (base 4) to base 7.\nAnswer: 11644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -905, -7277, -24571, -58247, -113765, -196585?\nAnswer: -312167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 4*v + 5*k + 18613 = 0, 0 = -5*v + 3*k - 23220. Let o = 922 - v. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 327501100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a - 29*a**3 - 1 - 28*a**3 + 56*a**3. Let p(h) = -4*h**3 + 7*h**2 + 9*h - 5. Let t(w) = p(w) - 5*x(w). Calculate t(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 270?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (88\/11)\/(-32)*1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/8)\/(2\/8). Let p(b) = -b**2 - 5. Let w be p(4). Let n be 2\/(d + (-66)\/w). Calculate the greatest common divisor of n and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2601112.35 to the nearest 100.\nAnswer: 2601100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 52 = 4*o + 3*b, 47 = 3*o - b. Solve 24*w - o = 29*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, -2\/3, -116\/5, -4, -40?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 4*u + 75. Let q = u + 20. Suppose -q*y + 17 = -z - 144, 5*y = -z + 169. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yt when two letters picked without replacement from oyahohaotyytta?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4.2 * 7635\nAnswer: -32067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259954 is divided by 374?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**3\/3 + s**2\/2 - s + 7. Let v(c) = 6*c**2 - 4*c + 4. Give 4*m(l) + v(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 + -62. Suppose -456 = -f*w + 986. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 6*p + 6. Suppose -5*r + 3*r + 16 = 0. Let o be a(r). Does 12 divide (o\/(-15))\/((-9)\/60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -5*q**3\/6 - 103*q**2\/2 - 3*q + 33. What is b(-20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.5 (b) 3\/2 (c) 990 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 3087 - 3067 = -5*i, 5*n + 16*i + 1 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 159864 + -1758500\/11. Solve 4\/11*a**3 - i*a + 2\/11 - 2\/11*a**2 = 0 for a.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -13, -12 in descending order.\nAnswer: 3, -2, -12, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 6\/7, -5, -2\/19.\nAnswer: -11, -5, -2\/19, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -9. Let z = 25\/7 + y. Which is the second biggest value? (a) z (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -175 (base 15) in base 6?\nAnswer: -1315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 12 - -12) + 5 + -20 + 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 34955\/26 and 1345 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-8\/5))\/s**(2\/95)*((s**(2\/25)\/s)\/s)**(5\/6) assuming s is positive.\nAnswer: s**(-211\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g - 2148 = -28*g. Let z = g + -533. Solve 5*y = 11 + z for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -100000000000111001011011?\nAnswer: 100000000000111001011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by 776.\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*17\/17 - (13 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73 + 73. Is (-263)\/((1 - (k - -2))*1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 - 466*l - 464.\nAnswer: -2*(l + 1)*(l + 232)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 8\/35 (b) -0.1 (c) 1 (d) -2\/15 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3770.\nAnswer: 2, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -31 and 2431518.\nAnswer: 2431487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -84 and 674.4?\nAnswer: -56649.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -4\/5, 0.2, 2, -0.25?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/180 and 13\/180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0206 in 1.3, 0.07, 1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0*y**(-3))\/(y**(-2\/13)*y**(6\/5)*y) assuming y is positive.\nAnswer: y**(-328\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 97*v**2 - 488*v + 57439. Let o be 0 - 2*(6 - 1). Calculate the remainder when (-52)\/o*5\/1 is divided by k(98).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 306 + -597\/2. Let l = 1\/85 + 763\/170. Let -3 - 39\/2*c**3 + 27\/2*c**4 - 3*c**5 + l*c + q*c**2 = 0. What is c?\nAnswer: -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/44504 and -63\/206?\nAnswer: 4583912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3716114.\nAnswer: 2, 1858057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-134)\/(-26) - (-8)\/(-52). Let b(k) = -k**2 + 1. Let j(a) = -1. Let m(f) = z*j(f) + 2*b(f). Differentiate m(r) wrt r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 + 60. Suppose 5*k - t = 34. Calculate the greatest common factor of k and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.942778 millilitres in litres?\nAnswer: 0.008942778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102003 - -3?\nAnswer: -102000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -391 divided by 21.\nAnswer: -391\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243*t**2 + 480*t**2 - 235*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 13*m - 80. Suppose 7 = -a + m, -q + 3*a = -204. Is 15 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 20.40839 weeks?\nAnswer: 12342994.272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -11 + (80 - (118 - 82))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkwakawa. Give prob of picking 1 a and 1 k.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 9*l**2 + 17*l - 4. Let g be i(-6). Solve -g*x - x - 12 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 + -0.9. Let f = k + 0.7. Let t = -7 + 12. Which is the smallest value? (a) 1\/4 (b) f (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 + 0.3. Let m(z) = -z**2 + 9*z - 1. Let v be m(9). What is the nearest to o in 0.5, -2\/13, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 34, 0, -34, -68?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 17, w: 3}. Give prob of picking 2 b.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + z + 5, -3*v - 4*z - 3 = -39. Suppose i - 6*i + 5*f = -60, -2*f = 3*i - 41. Let d = i - v. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0768 and 0.0178.\nAnswer: 0.00136704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 - 35. Calculate the lowest common multiple of 540 and i.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 9:34 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1486401 divided by -5739\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2935946887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 101512411 to the power of 1\/3, to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, q: 3, z: 2, h: 1, f: 3, y: 5}. What is prob of sequence zgzf?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 6:22 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - k**2 - 4*k. Suppose -3 = -4*m + 3*m. What is y(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 299700\/(-945) + (-2)\/(-14). Is f > -315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/108 and 59\/50760?\nAnswer: 50760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1272, -2548, -3824, -5100, -6376?\n\"Answer: -1276*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 14*f - 1. What is the remainder when y(-7) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 227 - 109. Let h = q + -114. Let r(i) = 4*i - 4. Determine r(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70a0 (base 11) to base 5\nAnswer: 300202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**3 - 15*y**2 + 14*y - 185. Let p be q(8). Let t(n) = -5*n - 41. Give t(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -349 - -492. Let h = f - 125. Calculate the greatest common factor of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + (-468)\/(-21) - (-2)\/(-7). What is the units digit of 8*63\/(-42)*z\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54 + 10 - 23)*(-3*r + r - r)*(2 - 6 + 10).\nAnswer: 1206*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*g - 29*g - 64*g - 20*g - 2 as o + f*g and give f.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 2*b + 4, k - 5 = 2*b - 2. What is the nearest to k in 11, 2\/5, 10\/7, 0.2?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -1)*(17 - 17). Let z = 24 - 71\/3. Factor 0*u**2 + x*u - z*u**3 + 0 + 1\/3*u**4.\nAnswer: u**3*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.4378+6.939993\nAnswer: 18.377793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 59*h**2 + 172*h + 141. What are the prime factors of b(61)?\nAnswer: 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(-1))\/(-3) + 2. Let k = p - 0. Let b(t) = k*t + t - 4*t. Let l(z) = -2*z. Calculate l(b(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9097, 9052, 9007, 8962, 8917?\n\"Answer: -45*y + 9142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -4\/5, -14\/13, 1, 2\/759, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1) + (-49 + 21 - 13) + 36?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 3*k + 368. Let n = 307 - k. Let g = -1597\/13 + n. Which is the third biggest value? (a) -3\/5 (b) -3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = i. Let g = i + 5. Solve 2*t + 6*o = o - 17, -2*t + 33 = -g*o for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -51803, -51820, -51837, -51854, -51871?\n\"Answer: -17*h - 51786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3162)\/(-153))\/(1\/90). What is the highest common divisor of x and 480?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*m + 28. Let x(t) be the second derivative of 0*t**2 + 0*t**m + t - 1\/6*t**3 + 1\/20*t**5 + 0. Find the second derivative of x(z) wrt z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1271614179 to the nearest integer?\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 4, -0.14, -2?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 25, 0*r - r - 25 = -5*l. Suppose 3*g = 7*g. Suppose 0*z - 5*z - 15 = g. Which is the third smallest value? (a) r (b) z (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*((-12567)\/236 - -53).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.1, -2, -3, -1\/4, -0.4 in descending order.\nAnswer: -1\/4, -0.4, -2, -3, -5.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**3*h - 8*f**3 - 1512*f**2*h**2 + 19*f**2 + 2*f*h**2 - 6*f*h - 4*f + 143*h**2 + h wrt f.\nAnswer: -6*f*h - 48*f - 3024*h**2 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2515 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/287 and -4\/19.\nAnswer: 5453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, c: 2, o: 1, z: 1, i: 1, a: 1}. Give prob of picking 1 o, 1 c, and 1 x.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + c + 107 - 42, -5*q - 5*c - 85 = 0. Let n be (-16)\/q*(-6)\/(-4). Factor 8\/9 + 8\/9*l + 2\/9*l**n.\nAnswer: 2*(l + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v + 37. Let j be y(12). Let b = 30 - j. Suppose 2*c - b = -4*u + 3, -4*c - 16 = 0. Calculate the highest common divisor of u and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331143 (base 5) to base 14.\nAnswer: 423d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94789 is divided by 36?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 249, 397, 523, 615, 661, 649, 567?\n\"Answer: -2*m**3 + m**2 + 159*m + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-135)\/4)\/(16\/12160*475)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + q + 1. Let c(s) = -5*s + 41 - 46 + 6*s**3 + 0*s. Calculate 2*c(r) + 10*d(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {q: 4, t: 3, i: 1, f: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*i**2*j**2 - 898641*i**2 + 254*i*j + 95*j**3 wrt j?\nAnswer: 6*i**2*j + 254*i + 285*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 9:46 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 4. Let s be l*7\/((-21)\/788). Let m be 0 + 1 + s\/(-4). What is the highest common factor of 22 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5177 - -5245. Solve -s = h + 16*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 171*b - 6. What are the prime factors of r(1)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 793247 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 p(v) = v**3 - 28*v**2 + 54*v - 254. Let h be p(27). Which is smaller: 473 or h?\nAnswer: 473","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2598d2 (base 14) to base 9\nAnswer: -2382243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 261*s**3 + 2*s - 253*s**3 + 2*s**4 - 3*s**2 + s**2 as z*s**4 + n*s**3 + f*s + i + y*s**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8335116.9 minutes in days?\nAnswer: 5788.275625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*-349 + -10*(-10)\/20. Let m = -680 - b. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u - 7 + 27 + 5*u)*((-1 + 0 + 0)*(-1 + 5 - 3) - 2 - 3 + 3 + 3 - 4 - 3)*(2 + 0 + 0).\nAnswer: 28*u - 280","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4680 and 2925?\nAnswer: 23400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1239072989*c*k**2 + 35654499*k**2 - 5*k wrt c?\nAnswer: -1239072989*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kzq when three letters picked without replacement from lnlkqzzlzqzqz.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 u when three letters picked without replacement from xxheeugju?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 12*f**2 + 1 - 2 - 11*f**2. Give z(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-11))\/v**(2\/69))**(-1\/20))**(22\/7) assuming v is positive.\nAnswer: v**(-649\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(((-16)\/4)\/4). Let h = 8 + f. Let v be (0\/(h - -1))\/2. Is 1 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 9:05 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2, 8, -2\/21, -2.9?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1072 (b) -0.13 (c) -1\/30931\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 302 - 2421\/8. Is n at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*x**3 - 7*x**3 - 4*x - 2*x**4 + x**2 + 2*x + 2 - 13*x**3 in the form y*x**2 + d*x**3 + n*x**4 + b + l*x and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -151 - -169. What is the remainder when 49 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -107.1?\nAnswer: 214.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 + 58. Does 20 divide 4\/(g\/(-15)) + 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27.6487865 - -1.325.\nAnswer: -26.3237865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155105 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 2\/269, -2\/11, -0.5?\nAnswer: 2\/269","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*p = -20. Calculate the least common multiple of 48\/(-1)*(-3)\/9 and p.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/70 and 53\/9130?\nAnswer: 63910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81667.\nAnswer: 81667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * 519.9586\nAnswer: 467.96274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 9, u: 2}. What is prob of sequence uuq?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**2 - 5*q - 1. Let v be c(4). Suppose 1102 - 1141 = -13*j. What is the highest common factor of v and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9\/107 + -349\/1605. Let y = -179 - -177. Which is the nearest to 1? (a) g (b) y (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 364*v + 401*v + 7.\nAnswer: 37*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**2 + x**2 - 2*x**2)*(-11*x**3 - 13*x**3 + 12*x**3) + (1 - 3*x**4 - 1)*(-3 + 3 + 3*x) + 2*x**5 - x**3 + x**3 - 2*x**5 + 3*x**5 - 2*x**5.\nAnswer: -44*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 208 - 208. Which is the second biggest value? (a) 1\/3 (b) -24 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 662398394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*y + 7, -y + 21 = 3*y + 5*q. Let m be 4 - 9 - (2 - 1). Let c = 4 - m. Sort c, y, 2 in decreasing order.\nAnswer: c, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-105)\/70)\/(2\/(-8) + 0). Suppose -r = -4*r + h. Find the third derivative of 10*o**2 - 9*o**4 - r*o**2 + 23*o**4 wrt o.\nAnswer: 336*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1700 - 1711. What is the nearest to b in 7, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((105\/50)\/(-7))\/((-51)\/(-476)*-2)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -314*d + 53. Let m(k) = -209*k + 37. Determine -7*a(n) + 10*m(n).\nAnswer: 108*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004074 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 11 = -4*j + 21, -2*m - 2 = -3*j. Suppose 4*a = -3*g + 4277, -a + 0*a = -3*g - 1058. Calculate the highest common factor of m and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/(18\/(-12))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*5*(-18)\/(-15). Suppose -a + 6*a = m - v, 2*m - a - 12 = 0. Suppose 0 = -2*z + m. Calculate the remainder when 8 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1568) + -2.\nAnswer: -2 + 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63620 and 47715.\nAnswer: 190860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 12.5 (b) -0.2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -324, -649, -974, -1299?\nAnswer: -1624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, s: 1, n: 2, r: 2, v: 1, f: 1}. What is prob of sequence nrh?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -42, -34, -26?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a7 - 22?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 r when four letters picked without replacement from {r: 6, b: 12}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67474 or -67483?\nAnswer: -67483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 178 and 15.55.\nAnswer: 2767.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**2 + 6*t**2 + 2 - t**3 - 14*t**3.\nAnswer: -15*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccxadocxax. Give prob of picking 1 d and 1 o.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -112.4837 rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4*a - 19, 0*a = -3*t + a + 5. Solve -8*y = -9*y - t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 35*q - 1. Let s = -93 - -101. What are the prime factors of x(s)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.45 (b) -2 (c) 64 (d) 1\/4 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2310 is divided by 106?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -11*i**5\/10 - 91*i**4\/24 - i**3\/3 + i**2 - i. Let f(u) = 0. What is u?\nAnswer: -2, -1\/4, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, u: 2}. Give prob of sequence yu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 121133312000?\nAnswer: -121133311332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39364867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3708, 2\/9, 3, 97?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + j - 1. Suppose -13*s + 4 = -11*s. Let y(m) = -9*m**2 + 5*m - 2. Let b(g) = s*a(g) - y(g). Give b(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 14*k**2 - k - 1. Suppose 789 = 5*y - 3*i, -5*y - 4*i + 778 = 10. What is the lowest common multiple of (-3)\/(-3 + y\/56) and o(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4272.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -61911, -247595, -557075, -990357, -1547447, -2228351?\n\"Answer: -z**3 - 61892*z**2 - z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4562*t - 31932. Let z be h(-7). Suppose 5*u = 3*j + 3, u = -3*u + j + 1. Let u - 2\/9*y - 2\/9*y**z = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4186693.238 to the nearest 100.\nAnswer: 4186700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -28406) + 1 - (36 - 30) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 8*y**2 - 2 - 14*y**2 - 2*y**2 + 4 + 7*y**2. Let f(t) = 11*t. Determine d(f(j)).\nAnswer: -121*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38059711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -91 + 161. Let y = z + -61. Solve 4*i = 3*r - 4*r + y, -5*r = 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 33 = -4*f, 0 = t + 3*f + 3 - 2. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**4)\/r)\/(r\/(r*r**(-12))))**(-19)*r*(r*(r\/(r\/(r\/r**(-4\/3))))\/r)\/r*r*(r*r*(r*r**(-5)*r)\/r)\/r*r**(-2\/9)\/(((r\/r**2)\/r)\/r) assuming r is positive.\nAnswer: r**(1396\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/2 + 6\/18. Let v be 2\/(0 + -12)*-2. Let c = 6\/5 - 7\/5. What is the closest to v in -5, c, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/81, -2416\/19, -5, 1\/121?\nAnswer: 1\/121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 56, 54, 56, 62, 72?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (495\/20)\/(5291\/(-5772))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8520 and 284355.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31298.27 minutes in microseconds?\nAnswer: 1877896200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 983741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100000010110010101001011 - 100?\nAnswer: 1100000010110010101000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 1)*(-1 - d**2 + 1)*(-385*d + 91*d - 69*d) in the form j + n*d + z*d**2 + m*d**3 and give m.\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 3*n**2 + n. Let w be f(3). Suppose j + 3*r = -10 - 15, 0 = w*j + 4*r + 65. Let s = 50 + j. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 525641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 175640104 and 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 328 and 3?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (27\/1056)\/(55\/990) and -16\/33.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -15*y**2 - 2*y - 2. Let o(m) = 240*m**2 + 33*m + 33. Let b be (6\/(-8)*(-6)\/9)\/((-8)\/1056). Determine b*h(g) - 4*o(g).\nAnswer: 30*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.02190933361 - 0.5\nAnswer: -0.47809066639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*sqrt(68))**2*2*-5 + ((sqrt(272) + sqrt(272) + (sqrt(272) - 2*sqrt(272)) + 2 + sqrt(272))**2 + -1)*-5.\nAnswer: -6135 - 160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 4339.37 weeks?\nAnswer: 2624450976000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 452 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 + 35.2. Let m = 1 - 5. Which is the nearest to -1? (a) 3\/7 (b) u (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from prprppr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xaxxxaaaaxaax. What is prob of sequence ax?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1957 is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 4:41 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -11*r**3 + 25*r**2 - 20*r - 9. Let c(w) = 4*w**3 - 8*w**2 + 6*w + 3. Let l(p) = 8*c(p) + 3*s(p). Determine l(10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 4. Let a = -2.2 + x. Let h = -2 - 1. What is the nearest to 2\/7 in h, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 490532225755.6 and -1.15.\nAnswer: 490532225754.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = -3*l - 28. Suppose 46 = 4*w - l. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011816 divided by 9729?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 113.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 1 = 5. Let r(u) be the second derivative of 1\/6*u**4 + u**2 + 0 - u + 2\/3*u**b. Solve r(n) = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -5, -n - 3*b = b + 2. Differentiate l**3 - 1 - l**n + l**2 with respect to l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(4\/5)\/i*i*i\/(((i\/(i\/(i\/(i**(-2\/19)\/i))))\/i)\/i*i)*(i*i**(-1)*i)**(22\/7))\/((i**0)**(-8\/13)*i**(1\/11)*i*i*i**7*i) assuming i is positive.\nAnswer: i**(-45743\/7315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -231, -445, -745, -1131, -1603?\nAnswer: -2161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 9*f**2 + 8*f + 1. Let q be o(-2). Calculate the greatest common factor of q and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + b - 3. Suppose 0 - 5 = 5*o, 2*o + 2 = 5*g. Let p be i(g). Let n = -0.5 - -0.8. Put 1, n, p in descending order.\nAnswer: 1, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87 and 725?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3135 is divided by (1 - 0)\/(17 + (-102330)\/6021).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 273. What are the prime factors of n?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (24\/2)\/(-4). Suppose 4*w = 5*p - 56, -t*p + 103 = 4*w + 39. What is the lowest common multiple of p and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-50)\/(-3)*(-57)\/8. Let j = 3223\/28 + f. Let a = -137\/2 + 301\/5. Find the common denominator of j and a.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -439 - -414. Sort -3, 4, p in increasing order.\nAnswer: p, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4 + 19*c - 10*c + 5 - 10*c + 1. What is o(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 6*i**2 + 5*i + 4. Let w be g(-5). Solve -w*r + 2*r = -6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jsjjjjcjjcecejleecww. What is prob of picking 1 l and 1 j?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/m**(-4))*m)\/m**4)\/((m\/((m\/(m\/((((m\/(m*m**(2\/7)))\/m*m*m)\/m*m)\/m*m)))\/m)*m)\/(m**(-4\/3)*m)))**(-50) assuming m is positive.\nAnswer: m**(10100\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-40)\/(560\/(-42)))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-8))\/(-1) + 0. Let w = -0.17 + -0.83. Which is the closest to 0.1? (a) w (b) 2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.5, -5, 0, -269?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77150, -154295, -231438, -308579, -385718?\nAnswer: -462855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4356 at most 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 37976599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66 by -136889.\nAnswer: 66\/136889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*((h\/h**(5\/7)*h)\/h)\/h*h\/((h*h\/h**40*h)\/h)*h assuming h is positive.\nAnswer: h**(282\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3536*68.\nAnswer: 240448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06789 rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*z = 0. Suppose -5*m - 8 = 12. Let x = -6 - m. Sort -3, x, z.\nAnswer: -3, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + -9 - (0 - 6). Let k(g) = 0 + 3 - c*g - 1. Give k(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1454194.\nAnswer: 2, 7, 241, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -64265 at most as big as -64259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u. Suppose 2*m - 30 = -4*n - 4, 0 = -4*n + m + 23. Let v = -4 + n. Let q(k) = -k**2 + 9*k + 3*k**v - 9*k. Determine q(a(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -443 - -448. What is the nearest to 0 in h, 1\/2, -3\/4, 6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 292*v + 149*v + 149*v.\nAnswer: 6*v + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 450?\nAnswer: -443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -467 + 669. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + p + 6. Let j be x(3). Solve -2*o - 5*l - 25 = 0, -5 = l - j for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.040812046, 0.1, 5?\nAnswer: -0.040812046","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2. Let p = 263 + -293. Let u(h) = 2*h**2 - 2*h. Let i(r) = 57*r**2 - 30*r. Let t(k) = p*u(k) + 2*i(k). Calculate t(d(l)).\nAnswer: 54*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = -2*q + 6*q - 5*p, -3*p = -2*q + 41. Let d(a) = -a**2 + 7*a + 7. What is the remainder when q is divided by d(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -4*v - 4*f + 69, -4*v + 1 = 3*f. Let a(x) = -x + 5. Let s(k) = -1. Let i(o) = -4. Let g(w) = -5*i(w) + 16*s(w). Determine v*a(h) + 3*g(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 4. Let x be l*1 - 0\/(-19). Let i(q) = q**2 + q - 1. Let d(u) = 4*u**2 + 5*u - 5. What is x*d(p) + 5*i(p)?\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(6\/19)*h)\/(h**(-3\/16)\/h) assuming h is positive.\nAnswer: h**(761\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(2\/7)*k**(1\/7)*k\/(k**(3\/2)\/k)*k*k\/(k**(-4)\/k)*k)**(-4\/23) assuming k is positive.\nAnswer: k**(-306\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1029?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 11*k**2 - 9*k**2 + 0*k**2. Let m(x) = -10*x. What is w(m(b))?\nAnswer: 200*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c (base 15) to base 12.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 2*k + 2. Let u(b) = 1 + 1 + 0 + 3*b. Let j(w) = 3*s(w) - 2*u(w). Differentiate j(c) with respect to c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -151\/8, 1\/2, -4, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22590?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-6)*(-9)\/6. Let u(y) = 29*y. Let g be u(x). Let c = -27 + g. Let a(f) = -11*f + 3. Calculate a(c).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -381 - 2.33.\nAnswer: -383.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2307, 4566, 6825?\nAnswer: 9084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 7*d + 2*d = 27, 4*o - 5*d = 63. Let a(c) = c + 8. Let u be a(-4). Solve 0*p = -u*p - o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and -29121152.45262?\nAnswer: 29121152.15262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 6:51 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**2 + 0 - u**4 - u**4 - 2 - u**2. Let q(d) = -d**5 + d**4 + d**2 + 1. Let f(z) = l(z) + 2*q(z). What is the third derivative of f(k) wrt k?\nAnswer: -120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 3*x**2 - 4. Let k be w(-6). Suppose -h + 3*h = k. What is the greatest common divisor of h and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63249299 + 312549299 = -3*h. What is h rounded to the nearest 1000000?\nAnswer: -83000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a4661 - c?\nAnswer: a4652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -89 - -89. Let s be ((-14)\/(-184))\/(3\/24). Which is smaller: s or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + y**2 + 1. Let w(p) = -4*p**3 + 5*p**2 + 4. Calculate 6*l(j) - w(j).\nAnswer: -2*j**3 + j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + p + 1254 = -5*c, 4*p = -2*c - 498. Let a = -228 - c. What is the remainder when 67 is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*(-36)\/27.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 0 - 3*t**2 + 0*t + 0*t**4 + 0*t**3 + 1\/630*t**7 + 1\/360*t**6 + 0*t**5. Let y(o) = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/2, -1\/348, -1375, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -16 - (8 + 7) - 3) + 8.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 712.394ug to tonnes.\nAnswer: 0.000000000712394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 405504533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**4\/8 - 16*j**3\/3 + 4815*j**2. Let d(q) = 2*q - 31. What is -5*d(k) + 4*g(k)?\nAnswer: 2*k + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2590 + -18132\/7. Let l = -3 - -8. Sort 0.5, l, -3, c in increasing order.\nAnswer: -3, c, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1279 or 1270?\nAnswer: 1270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 16. Let l be w(-14). Let p be l - 1*(-2 - -4). Let x = -10 - -11. Sort x, p, 11 in ascending order.\nAnswer: p, x, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 6*k**3 + 2*k**2 + 4*k - 1. Let s be ((-116)\/(-754))\/(2\/(-26)). Let c(a) = -a**2 - a - 1. Give s*c(l) - u(l).\nAnswer: -6*l**3 - 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 961 * 541.\nAnswer: 519901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 q when three letters picked without replacement from {q: 1, d: 8, p: 4, f: 5}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*r**2*w + 386*r**2 + 2*r*w + 2*r - 51*w - 2 wrt r.\nAnswer: -32*w + 772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 3\/7280, -2\/3 in decreasing order.\nAnswer: 3\/7280, -2\/3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 544 + -1231. Round d to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26890704 by 4.\nAnswer: -6722676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w**2 + 2*w - 1. Let a be x(1). Suppose a*z - 20 = z. Suppose o = 7*j - 2*j - 381, 2*j - 157 = z*o. What is j rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 - 1)*(4 - 4 + 2)*(268*z - 130*z - 5 - 132*z) to the form l*z + q and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 0 - (-160)\/5. List the prime factors of 9\/(-18) - r\/(-2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (276\/(-60))\/(1\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 21 + 15)*(4*z**3 - 10*z**3 - 35*z**3 + (1 - 2 - 1)*(-2*z**3 + 2*z**2 - 2*z**2)).\nAnswer: -555*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d - 10. Let c(y) = -y + 2. Let b(s) = -4*c(s) - m(s). Let z(o) = -1. Let v(f) = -2*b(f) - 4*z(f). Let g(i) = 107*i**2. Calculate g(v(n)).\nAnswer: 428*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 42. Solve -3*f + h = 5*s, -1 = -2*f + s - 2*s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-600)\/140*490\/875.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.5 - 3. Let r be ((-12)\/9)\/(-2) + (-560)\/714. What is the third smallest value in 2\/3, r, b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (22\/(-18) - -1) + 0. Let h(n) = 4*n + 35. Let w be h(-8). What is the nearest to w in -0.1, j, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 0.2, -1\/6, 3\/17?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-3)*(-60)\/(-40)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 - 57. What is the highest common factor of 63 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-3)\/2*2. Suppose 4*c - r*c - 4 = 0. Solve z - 4*z + 18 = 2*i, c*z - 22 = -2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**28*j*j)\/j)\/j*j**8\/j assuming j is positive.\nAnswer: j**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1117*z**2 - 29*z**2 - 2159*z**2.\nAnswer: -1071*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*t - 264 - 2377 = 383 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in decades?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -2*d**4\/3 + 147*d. Let t(a) = 21*a**2. Determine t(o(l)).\nAnswer: 1344*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76564744 to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 220680187 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -59*y - 6963. Let a(k) = 2*k**2. What is t(a(c))?\nAnswer: -118*c**2 - 6963","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -58 from -238.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-42)*-4 - 80\/30. Let o(m) be the second derivative of m**4\/6 + 2*m**3\/3 + 3*m**2\/2 - m. Determine o(t).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2824.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -0.5 (b) 0.5 (c) 2\/2201 (d) -0.32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)\/sqrt(9))\/sqrt(8) + -4.\nAnswer: -4 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*(1 + 1*sqrt(684) - (0 + sqrt(684) + sqrt(684))*-5)**2)*5.\nAnswer: 660*sqrt(19) + 413845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 744 and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -46388907\/16 less than -2899307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 8*l - 3. Let v(h) be the first derivative of h**3\/3 + 7*h**2\/2 + 2*h - 10. Let s(j) = 4*d(j) + 5*v(j). Determine s(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*x = -39*x - 130 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4959953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 74\/(-2))\/3. Let s = a + 13. What is the third biggest value in s, 0, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 2. Let h be ((-6)\/8)\/((-12)\/48). Suppose -h*s + 7 = -2. Let q be k(s). Is q less than or equal to 3\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -1 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8621 - -8621.1. Let q = -22 + 12. Let t(l) = l**3 + 11*l**2 + 10*l + 2. Let w be t(q). What is the third smallest value in 1\/2, z, 3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -254*r**2 - 3. Let x(a) = 2*a**2. Give j(x(c)).\nAnswer: -1016*c**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - (-7834)\/6) + 6\/(-9). Suppose 13*k = m - 489. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 + 9*x**2 - 54 + 28 as g*x + s + z*x**2 and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(60)*-2)\/(-4*sqrt(12)*-3)*-3.\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 13, -13, 7, 0 in decreasing order.\nAnswer: 13, 7, 0, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 632395 is divided by 14050.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*c**3 - 25*c**3 - 8*c**3.\nAnswer: -142*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 48186779 a multiple of 576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11164 - 2664. Is 17 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76\/51 - -1\/102. Suppose 1 + a*m + 0*m**2 - 1\/2*m**3 = 0. Calculate m.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11124 + 11125.0834. Round y to 2 dps.\nAnswer: 1.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 5*x - 33. Let q(k) = -9*k + 2 - 7*k + x*k - k**3. Determine q(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*r**3 + 45*r**3 - 4*r**3)*(0*r + 2*r - 4*r) + 2*r**4 + 2*r + 2*r**4 - 2*r**4 to q*r**3 + s*r**2 + g*r**4 + y + f*r and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 17*l - 16. Let r = 194 - 191. Calculate the remainder when 86 is divided by n(r).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -41*t + 4 + 39 + 18*t wrt t.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + (-5 + 6 - -12) + (-8 - -4).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -804384517 - 1?\nAnswer: -804384518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7bb7 - 10?\nAnswer: 7ba7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6644 divided by 3322\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*d = 3*q - 57*d - 81048, 4*q - 4*d - 108080 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 46\/42 + -11 + 10. Put k, -2\/5, 3\/2, 4 in increasing order.\nAnswer: -2\/5, k, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (7 - -3 - 12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*g = -143*g. Solve g = -5*m + 5*n - 15 - 35, 0 = m - 3*n + 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + 6. Let d(i) = 3*i + 4. Suppose 4*f = 3*f + 4. Calculate the lowest common multiple of y and d(f).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 187228544 and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9 + -6 - 4\/(48\/(-2770)). Let v = i - 234. Which is the biggest value? (a) -3 (b) 3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0018967804158 rounded to 7 dps?\nAnswer: 0.0018968","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2015 and 38411542?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 364.1392 seconds in nanoseconds?\nAnswer: 364139200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/722 and -45\/152.\nAnswer: 2888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 164703 and 59675.\nAnswer: 4117575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000312013 rounded to six dps?\nAnswer: -0.000312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d - 2*d - d**2 - d. Suppose 293*m - 75 = 308*m. Let p be q(m). Sort 1, -2, p.\nAnswer: -2, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*k + 79*k + 81*k = 242*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13277 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/7 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*4\/(-96) - (-506)\/(-12). Let j(s) = s**3 - 3*s**2 - 23*s - 13. Let a be j(6). Let m = a - q. Which is greater: m or -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (404 - 487 + 807)*(-4*v**2 - v**2 + 1 + v + 3*v).\nAnswer: -3620*v**2 + 2896*v + 724","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -90.9 times -0.9\nAnswer: 81.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1861289 is divided by 204?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83, 139, 163, 149, 91, -17?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w - 5. Let j be u(8). Let l = -7 + j. Round l to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(468) - (sqrt(468) - 4*sqrt(468))) + -5 + -1.\nAnswer: -6 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1607\/19148?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 3)*(11883*r + 1783*r**3 - 11883*r) + (-1 + 0 + 0)*(-5*r**3 + 5*r**3 + r**3) + 5*r**3 - r**3 - 2*r**3 as a*r**2 + h*r**3 + o + j*r and give h.\nAnswer: -1782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2280.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w**2 + 44*w + 294. Give q(-6).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, c: 2, z: 8}. What is prob of picking 2 c?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -91 and 951.53538.\nAnswer: 860.53538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 782750392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -6. Calculate the remainder when (-44)\/(-6) - 17\/(255\/(-10)) is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -304979607 divided by 1341?\nAnswer: -227427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.33 or 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43\/416 + 20621\/3744. Calculate the common denominator of r and -87\/160.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**2 - 376*q + 362*q - 16 + q**2 - 6. Determine d(-7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 627227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 9*m**3 + 23*m**2 - 17*m. Let v(h) = 3*h**3 + 8*h**2 - 6*h. Let k be ((-1)\/2)\/((-3)\/102). Determine k*v(w) - 6*y(w).\nAnswer: -3*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**4\/3 + 676*x**3 + 334449*x**2 - 8476812*x - 28422252 = 0.\nAnswer: -1026, -3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 7607.26046 to 1 dp.\nAnswer: 7607.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -355, -1202, -2537, -4360, -6671, -9470?\nAnswer: -12757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 411876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 303*z**3 + z**2 - 31*z + 4.\nAnswer: 1818*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 + -57. Suppose 4*x + 14 = 6*x. Suppose -l + 4*u = -93, -o*l + x*u - 2*u = -195. Is l a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + sqrt(432) + 0 + sqrt(432) + -3)**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1805)\/12 + 2 + (-38800)\/(-93120)?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49545915581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 83302327 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 410440 + -3?\nAnswer: 410433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.023 + 102.977. Let k = z - 104. Which is the smallest value? (a) -2\/15 (b) k (c) 0.77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 9. Is (i + 4)*47\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 288 - 12. List the prime factors of a - ((-2)\/(-4) + 54\/(-12)).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/31, -0.1, 0.1801378, -5 in descending order.\nAnswer: 3, 0.1801378, 2\/31, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*h**3 + 79*h**3 + 0*h**3.\nAnswer: 160*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 13. Suppose 0 = -3*n + 4*j - 62, -3*j - 13 = 2*n - 0*j. Let z be c(n). Is 3 - (z + -4)*(-4952)\/(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16882.05 nanograms in milligrams?\nAnswer: 0.01688205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -675 divided by 135\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 21915.\nAnswer: 1\/7305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -6*m**3 + 8*m**2 - 1. Let q(s) = -s**3 - 1. Let w(g) = -5*q(g) + t(g). Determine w(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3142310 (base 8) to base 5.\nAnswer: -203234213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -302 + 298.98. Let z = -0.02 - n. Let c = 7 + -5. What is the third biggest value in z, c, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194 - 23 = -3*p. What are the prime factors of 56\/(-20)*p*5?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-3))\/((-1)\/9). Suppose -5*z + 25 = 2*a, z - v*z - 5*a = -10. Solve 4*u = -w - 17, -z*w + 3*w - 8 = u for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2, -159.6, 2\/3, 0 in increasing order.\nAnswer: -159.6, -0.4, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -116663862*1\nAnswer: -116663862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + -5. Let g be (-1904)\/1144 - (-2)\/f - -2. Put g, 0.06, 2, 5\/3 in descending order.\nAnswer: 2, 5\/3, g, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-9)\/a**(1\/14))**(-2\/37))**(3\/19) assuming a is positive.\nAnswer: a**(381\/4921)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in seconds?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 + 7 = 5*s - c, -5*s = -2*c + 58. Let u be 0 + 0 - (0 + s). Is 4\/u + 1140\/25 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w + 168 = -20*w. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 8*h + 3. Let g be j(8). Suppose -34 = -g*a + 5*q, -6 = a - 3*q - 20. Solve a = 2*l - 0*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/787388 and -11\/3416.\nAnswer: 1574776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 6*i**3 - 63*i**2 + 6*i - 22. Is c(19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 106, 164?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 5*f + 5, -53*y + 57*y - 3*f = 7. What is the third smallest value in -1, y, -0.2, 0.1, 0.8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1168 is divided by 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 12:43 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-3))\/((-5)\/45). Let r(j) = -j**2 - 7*j + 4. Let l be r(-7). Which is the second smallest value? (a) l (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3521077 (base 9) to base 6.\nAnswer: 104444241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 3*x = -19, -2*x = -5*t + 10*x - 17*x - 25 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 2\/13, -386.1981?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*x - 74*x - 82 - 57 = -4*g + 76*x - 227*x, x - 1 = 0 for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68926 is divided by 268?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 3 + -1 + 14 + -7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1254304*c**3 + 3*c + 23061936.\nAnswer: 3762912*c**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 69*a**2 + 10014*a + 10012. Determine i(-1).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00178703813 to 5 decimal places.\nAnswer: 0.00179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3448901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 5*v - 47 = -78, z - 13 = -2*v for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 22 = -5*u, -61*u + 62 = 3*b - 56*u. Solve h - b = -11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-3)*t\/t**(1\/14))**(-44)\/(t\/t**(-2\/13)*t*t**(-5)*t\/(t\/t**4)*t**(1\/8)\/t) assuming t is positive.\nAnswer: t**(34117\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2, 476, 6, 10, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.142 - 0.021?\nAnswer: 0.121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3357884972 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12*(-5 + 21\/4). Suppose 0 = -3*r + 4*i - 0*i + 28, 16 = -r - 5*i. Suppose -4*o + 3*p = -2*o - 15, r*o = -3*p + 21. Solve j*q = o*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69128?\nAnswer: 2, 8641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 218151449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f + 1. Determine q(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 495.3677 years?\nAnswer: 5944.4124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a factor of 438500448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101 + -23. Suppose -x - i = -4*x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -8328445?\nAnswer: -8328448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**3 - 3*b**3 + 6*b**3 + 3*b**2 - 7*b**3 - 4 + 4*b. Determine k(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64999287 > 64999286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6.470938 micrometers?\nAnswer: 6470.938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 1023 = -0*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50196177 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157 less than or equal to 1156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppaa when four letters picked without replacement from {p: 9, a: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 19*p**2 - 34*p. Let x be t(17). Put -3, 4, -25, x in ascending order.\nAnswer: -25, -3, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 7*a + 2. Suppose 4*p = 0, 34*p - 31*p - 12 = 4*d. Let c(k) = 4*k + 1. Give d*t(z) + 5*c(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/13 - 2231920*n\/13 - 171686.\nAnswer: -2*(n + 1)*(n + 1115959)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*l + 68 - 13 = -396 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -171, -342, -513, -684, -855, -1026?\nAnswer: -1197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yjqq when four letters picked without replacement from ooqjoqqqoqyjqyj?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18*(-32)\/384)\/(((-2)\/72)\/(2\/(-3)))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, u: 6, h: 1, c: 3}. Give prob of picking 1 c and 1 u.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2))\/(r\/r**(-2\/9))*((r\/r**1*r)\/r)**(-3\/7))**(-2\/81) assuming r is positive.\nAnswer: r**(40\/729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -284\/685 - -2\/137. Which is the nearest to 1? (a) w (b) -4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 8*m - 4*m = -4, 4 = 2*r - m for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbbhthatbtb. Give prob of sequence th.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 961 and 7493878.\nAnswer: 961","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 10:55 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 8 = -4*c, -3*c - c + 22 = 3*p. Let b(z) = -5 + 5 + 2*z - z - 4. What is the units digit of b(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**5\/20 - d**4\/12 - 2*d + 16. Factor r(n).\nAnswer: n**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -192 at least as big as -200330\/1039?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1811, -1819, -1827, -1835, -1843, -1851?\n\"Answer: -8*x - 1803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z = -119 + 64 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.96494 and -2.\nAnswer: 19.92988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -18*z**4 - 2*z**3 - 13*z. Let i(b) = -17*b**4 - 3*b**3 - 12*b. Let y(q) = -2*i(q) + 3*l(q). What is the second derivative of y(d) wrt d?\nAnswer: -240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 5*q - 38. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w - 9 + 49 = 0. Let q be w*3\/(-6) + 4. Solve 10 = -3*a - q for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.108 + 0.892. Are f and -8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2d4 - 4?\nAnswer: 2d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 12, 94, 5, 4, 3 in decreasing order.\nAnswer: 94, 13, 12, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40523 + -26060. Does 25 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 2*w = -126 + 141, 4*z + 4*w = -48 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(342))\/(3*sqrt(128)))**2.\nAnswer: 475\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 3*t**2 - 3*t - 3. Let y be a(-2). Let m be (7 + -5)\/(y\/(-2)). Suppose 8*i - 564 = m*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -4*n, -16*n + 2*w = -15*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s - 1 - 8*s - 4. Let z(k) = 3*k + 11. Calculate 9*r(d) + 4*z(d).\nAnswer: 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 78547254 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + 59. Let t = 25 - -9. Suppose 2*w = -z + t, z + 26 = 2*w + 6*z. What is the remainder when i is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, n: 1, z: 3}. What is prob of picking 3 z and 1 h?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00026554305 rounded to 5 decimal places?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express r**4 + 6*r**4 + 6*r**4 + (-8*r + 4*r + 2*r)*(2*r - r**3 - 2*r) in the form z*r**4 + k*r**2 + j*r + i*r**3 + v and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3) + (-153)\/(-108)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3*b - 3, 2*b + 0*b - 8 = -a. Suppose 3*n - b*t - 30 = 0, 3*n = 2*n - t. Let z(p) = -2*p + 11. Let y(i) = i - 6. Give n*y(w) + 3*z(w).\nAnswer: -w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -195, -88, 91, 342?\nAnswer: 665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 5*s - 33. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 290 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13223 - 12440?\nAnswer: -31213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -37779*k - 11. Let c be m(-9). What is c rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5410561302 from -0.5.\nAnswer: 0.0410561302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*q - 8*q - 13*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -19*x. Let z(d) be the first derivative of d**2 + 33. Calculate p(z(s)).\nAnswer: -38*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 45*y**2 + 8*y - 7. What is b(2)?\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111111769 is divided by 2950?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -7*o**2 + o + 1. Let d be (1 - 0)*(6 + -7). Let r be g(d). Is r at least as big as -11\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18036, 36029, 53954, 71811, 89600, 107321?\nAnswer: 124974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + w)*(0*w**4 - 2*w**4 + 7*w**4).\nAnswer: 5*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5488 and 14714357.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 56 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21416430 by 35994.\nAnswer: -595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 2*i + 465. What is the remainder when i is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8461?\nAnswer: 8461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/9519?\nAnswer: 4\/9519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 79550000 to the nearest one million.\nAnswer: 80000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27356 - 12434. What are the prime factors of v?\nAnswer: 2, 3, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -106, -220, -370, -550, -754?\nAnswer: -976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 - 0 - (-15 - -25 - 42)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 7 = -27. Solve -g*q + n + 28 = 0, -2*q - 3*n = n + 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 1. Let p(u) = 12*u**5 - 17*u**2 + 4. Let x(m) = -p(m) - w(m). Find the third derivative of x(b) wrt b.\nAnswer: -720*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4\/(32\/110)*584\/730 and 81?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 6 + 6. Let y be ((-10)\/4)\/(2\/z). Let s(v) = 7*v**3 + 5*v**2 + 5*v - 5. Let l(k) = 22*k**3 + 16*k**2 + 16*k - 16. Give y*l(x) + 16*s(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 417 - 280. Suppose -m = -4*f - 3*a, -2*f + 48 + 19 = a. Suppose -16 = -2*q + 4*l + f, -q - 3*l - 1 = 0. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6518*d - 6518*d - 235*d**4 - 228 wrt d.\nAnswer: -940*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**3 - l - 1. Let m be i(-1). Suppose -f = 2*n - 65, -4*f = 21*n - 23*n + 100. Solve 0 = m*u - 32 + n for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 1. Let v(y) = -6*y + 7. Let h(i) = -39*s(i) + 6*v(i). Suppose -9*j - 29 = -5*f - 5*j, -5*f - 3*j + 22 = 0. What is h(f)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 570596017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-14)*-18)\/((-2)\/(-7))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.464 - -17.389. Let r = 0.075 + b. Let a be 16\/44 + (-2)\/11. Is a != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 7*y**2 - 6*y - 6. Let m(s) = 2*s**2 - 2*s - 2. Let t(z) = -3*m(z) + o(z). Let j(k) = 2522*k. Determine j(t(f)).\nAnswer: 2522*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/36 + 1\/3. Suppose -4*y - 4*k = 0, y + 3*k = -m*y + 2. Put y, 0, 2 in ascending order.\nAnswer: y, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93, 89, 85, 81, 77?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 48. Calculate the remainder when k(16) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4903453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -133 at least -133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*b + 371, 42*y + 369 = 4*b + 43*y. What is the remainder when b is divided by 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111 - -2312300?\nAnswer: 2312123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1065 - 2138 + 2*a + 1073.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/70*(10\/(-3) + 2). Let l = 0.95 - -0.05. Let v = -0.1 - -0.3. Which is the closest to t? (a) -1 (b) v (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - (4 - 95852\/89). Let w = 1077 - k. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 891, 893, 895, 897, 899?\n\"Answer: 2*t + 889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1947323 - 5*i**4 - 5*i**4 + i**3 - 1947325 + i**2 to j*i + h*i**4 + y*i**2 + l + q*i**3 and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -22. Sort 0.2, -5, r in ascending order.\nAnswer: -5, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 2*u + 20, 0*w - w + 4*u + 22 = 0. Suppose 2*p = 6 - w. Suppose -d - 2 = -p*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, m: 1, g: 3, t: 2, v: 3, x: 2}. What is prob of picking 1 v and 3 g?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17674 + 17673.85591. What is v rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1306*s - 270*s + 212 + 1187 = -673 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = -8*c + 583. Suppose -l + 8*l = c. Suppose 0 = -l*a + 7 + 38. What is the fourth biggest value in -0.02, -3\/5, -5, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*y**2 - 16*y + 309 with respect to y.\nAnswer: -10*y - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 8:27 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 25399, -2\/3?\nAnswer: 25399","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4474192819.\nAnswer: 29, 199, 491, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -50 + 2 + 12 + -460 + 435 - -11.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -1. Let v(o) = 5*o**2 - o - 6. Let l be v(6). Let u be (-2)\/7 - (-132)\/l. Which is the nearest to 1? (a) -0.5 (b) p (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 649*h**2 + 1602*h wrt h?\nAnswer: 1298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.77369319 rounded to one decimal place?\nAnswer: -60.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 24, 69, -4, -3, 4, -2 in descending order.\nAnswer: 69, 24, 4, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 224*u**2 + 96*u - 32. Let t(g) = g**2 + 3*g - 1. Give -5*l(i) + 160*t(i).\nAnswer: -960*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -n + 4*b + 1033, 4*n - 1394 = -3*b. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 60 = -4*s, -2*s + 2*v + 38 = -v. Let n = 21 - s. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 401959 = 73*l + 63239. List the prime factors of l.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -9*g**3 + 2*g**2 + 2*g + 1. Let t be p(-1). Let h(a) = 40*a - 27. Is h(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4799, 6720, 8641?\nAnswer: 10562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22\/55 - (-18)\/5. What is the second derivative of -33 + 18*w + 58 - 25 - 8*w**y wrt w?\nAnswer: -96*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/16 in -0.4, 1\/3, 3.2, -0.1, 0.029?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dwdww. Give prob of picking 2 d and 2 w.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1971552.065 rounded to the nearest ten?\nAnswer: 1971550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 - (22 - (11 + (7 - 10)) - 5).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4\/13))**(-5\/4)\/(g**6\/g**8) assuming g is positive.\nAnswer: g**(31\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -777 divided by -111?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, -2, 5, -1, 413 in increasing order.\nAnswer: -3, -2, -1, 5, 7, 413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*l - 3*w, -3*l + 73 = 17*w + 44 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2. Suppose -4*h = -g - 5, 4 = 4*g - 8. Let x(s) = -10*s**h - 9*s**2 + 3*s**2. What is l(x(f))?\nAnswer: 512*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 935\/6 + -155. Which is the closest to -1? (a) 0.4 (b) k (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-88)\/550*25\/10\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -24 (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*x**2 + 9*x**3 - 15*x**2)*(-2*x - 3*x + 3*x)*(1 + 0 - 2) as u*x + v + k*x**3 + l*x**2 + c*x**4 and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2350 is divided by 157?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 825161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 13*p**2 + 5*p - 65. Let r be d(13). Solve -4*k - 4 + 16 = r, -s = k - 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 6, 5, -1264 in descending order.\nAnswer: 6, 5, 3, 2, -1264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5445 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5921, -47297, -159591, -378263, -738773, -1276581, -2027147?\n\"Answer: -5910*t**3 + t**2 - 9*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 7:21 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 457 + -88b?\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, j: 11}. Give prob of picking 1 j and 1 r.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5*sqrt(117) + -5)**2.\nAnswer: 60*sqrt(13) + 2929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -27*v + 594. What is s(23)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 4 - (-22)\/(-2). Let w(f) = f**3 + 9*f**2 - 9*f + 9. Let a be w(h). Let r = -15\/7 - -127\/56. What is the closest to a in 0, r, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3\/11 - 21535*d**2\/11 + 172328*d\/11 - 344688\/11 = 0. What is d?\nAnswer: -21543, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4116.49936 - 4117. Let o = d - -0.5. Round o to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (17750\/25)\/(1\/70). Round a to the nearest 1000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2193*(-2)\/3*3\/(-6). Is 731 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51c8 (base 13) in base 14?\nAnswer: -41a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -297 + 512. Is 39 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and (-4)\/(-24) + (-6065)\/(-6) - 7?\nAnswer: 3012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6795*w**5 - 6105*w**2 wrt w.\nAnswer: -407700*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = -1 - 6. Which is the closest to 0.3? (a) l (b) -1\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 10*k**2 + 5*k - 6. What is q(-9)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 252002 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50623, 50646, 50669, 50692, 50715, 50738?\nAnswer: 50761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -103\/4 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**3 + 98*j**2 + j + 42. Let g be z(-49). Sort 1\/2, g, -5, 0 in decreasing order.\nAnswer: 1\/2, 0, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7682 - 8*g**3 + 7682 + 12*g as d*g + n + u*g**2 + r*g**3 and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -124263034 by 124263034.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000915 rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 176*j + 422. Let c be q(-175). Solve c*k - 216*k + 217 = 0 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/195 and -46\/117?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10098 times -2.2528?\nAnswer: 22748.7744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 867161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.9 and 2272.440873854.\nAnswer: 2268.540873854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3361481 (base 9) to base 5\nAnswer: -430440322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*t**4 + 17*t**4 + 4*t**4 + (-2*t + 3*t - 4*t)*(-4*t**3 + 2*t**3 + t**3) - 2*t**4 + 0*t + 0*t.\nAnswer: 15*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1802944 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 8:32 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 5 (b) 2\/11 (c) -5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**5\/7 + 10*n**4\/7 + 282*n**3\/7 - 3632*n**2\/7 + 6383*n\/7 - 3042\/7 = 0. Calculate n.\nAnswer: -18, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2414 (base 6) to base 9\nAnswer: -721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2199 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 15160216.\nAnswer: 106121512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 28*o**2 + 55*o + 5. Calculate g(-26).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-207)\/(-230)*((-25)\/15 + -1).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -42*-1001.3\nAnswer: 42054.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 5*b**3 - 183*b**2 + 10*b + 20. Let h(r) = -14*r**3 + 550*r**2 - 28*r - 55. What is -4*h(v) - 11*q(v)?\nAnswer: v**3 - 187*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (6 - ((-91 - (4 - -2)) + -11 + 5))?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2810 = 228*a + 365*a - 409*a - 6022 for a.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50080994 a multiple of 5538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5660, 5846, 6176, 6650?\n\"Answer: 72*b**2 - 30*b + 5618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a factor of 483840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1737*s = -1426*s + 8086 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.263 + 0.103. Let w = 1.16 + l. What is the nearest to -2\/5 in -1, 75, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(1\/15)\/i)\/i)\/i*i**(4\/13))\/(i\/((i*i**(-8))\/i*i))**20 assuming i is positive.\nAnswer: i**(-31517\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (2 - 0) + (43 + -103 - -56)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 8*n**3\/3 + 13*n**2\/2 - 4*n. Let u(o) = 11*o + 9. Give 7*u(h) - 5*w(h).\nAnswer: -3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 918789967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -6\/5514949?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, z: 4, i: 1, j: 1, w: 2, b: 4}. Give prob of sequence jz.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 4*n - 8. Let t be v(-6). Solve 5*d = -r - t, 3*d + 6*r + 12 = 3*r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (117 - 1 - 1)*(13 - 8 + 18)*(-2*j + 3*j + 2*j) to p + b*j and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 178064 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 value of (-270)\/(-756) - (-1)\/(-2)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11043 (base 5) to base 16\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + (-1*sqrt(1872))**2*5).\nAnswer: -18712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11076056.438 - -20708.\nAnswer: -11055348.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5207155 is divided by 546?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-15)*(9108\/(-23))\/(-4).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 4*o + (o + 3*o - 6*o)*(4 - 3 + 1) + 2*o + 2*o - 2*o - 2 - 2*o + 2 + 0*o + o - 3*o)*(o + 0*o + 2*o**3 - 33*o**3).\nAnswer: 310*o**4 - 10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14.262 or -744?\nAnswer: 14.262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-4))\/((-6)\/(-4)). Let q = -208738 - -417477\/2. What is the nearest to q in 1\/2, y, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -23920 and -0.4?\nAnswer: 23919.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16*65\/(-52) + -3 + 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20\/23 or -57749?\nAnswer: -57749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7803 by 867.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46896.14 hours to seconds.\nAnswer: 168826104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -44454450 (base 6) in base 15?\nAnswer: -1b87b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -24 and 27322.514184.\nAnswer: 27298.514184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21857, -43699, -65523, -87329?\nAnswer: -109117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 8. Let r be p(10). Let b(t) = 3*t**2 + 2*t + 6. Let j(u) = -3*u**2 - 2*u - 5. Let l(f) = -5*b(f) - 6*j(f). List the prime factors of l(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 196 - (1 + -2)*-4. Suppose -y = 5*b - n - 916, n + 148 = b. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002294016 rounded to five dps?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -685297706*o**2 - 565798424 wrt o.\nAnswer: -1370595412*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 464*g*m**4 - 217061*g*m**2 + 189*m**4 wrt m?\nAnswer: 11136*g*m + 4536*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4357 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 7*i - 10. Let h be b(8). Let n be ((-1)\/5)\/(h - -1). Let y = 0 + -0.1. Put y, n, 1\/9 in descending order.\nAnswer: n, 1\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w + 42 = 15*w. Let h be (-9)\/w + (-58)\/(-44)*-1. What is z in -56\/11*z - 24\/11 - h*z**4 - 46\/11*z**2 - 16\/11*z**3 = 0?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 14*b**2 + 2*b. Let p(d) = -2*d**3 + 22*d**2 + 2*d - 1. Let o(i) = -3*p(i) + 5*u(i). Give o(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 500 (b) -1 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + m. Let v be f(0). Find the first derivative of 6*c**3 - 4 + v - 2 - 1 wrt c.\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-62)\/(-4) - (-1)\/2. Suppose -6*t - 7 = -7*t. Suppose -t*a - 13 = -349. What is the highest common divisor of a and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -180*b + 178*b + 24722. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.009? (a) 1 (b) -0.2 (c) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 11:17 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*r - 0*r. Suppose 0 = -5*p + r, -213 = -4*y - y - 3*p. What is the remainder when y is divided by 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 173314.6359 - 87.\nAnswer: 173227.6359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3492 - 3490. What is the closest to 0 in -22\/5, o, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -v - 3*v + 117, -107 = -4*v + q. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -2b1bb1?\nAnswer: 2b1bb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 112437883511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2161003, 4322007, 6483011?\n\"Answer: 2161004*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 996577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, r: 1, i: 1, a: 1, y: 2, o: 1}. Give prob of sequence asiy.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/909?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -4\/11, -2, -1\/3, -46, -2\/13, 11, 0?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.532939 centuries in decades?\nAnswer: 35.32939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**2 + 72409 - 36214 - 36195.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 2*y - 5, -10*a = -15*a - 4*y - 21. Let c(m) = m**2 + m + 1. Let q(r) = 4*r + 3. Give a*q(v) + 3*c(v).\nAnswer: 3*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 37 = 3*k, 0 = 2*k + 4*j - 27 - 5. Suppose -16 = 6*s - k*s. Suppose -s*g = -10*g + 16. Solve -2*b - 6 = -4*x, -x + 5 = 5*b - g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + p - 894606 - 1120280 = 0, -4*m + 2686514 = 2*p. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/45 + (-28)\/(-12). Calculate the common denominator of 6\/54*((-419)\/i - -4) and 9\/(-132) + 0 + 1.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g - 74. Let y be c(10). Let l be (y\/84 + 15820004\/14)*-2. What is l rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-22)\/(-121) - (-34)\/(-66). Which is the smallest value? (a) -4\/5 (b) p (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 73150 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(77) + ((sqrt(77) - -2*sqrt(77)) + sqrt(77))*5)\/(-1*-1*sqrt(175) + sqrt(175)*-2*-2).\nAnswer: 32*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 96?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 749385986?\nAnswer: 2, 331, 1132003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.263 - 10.954. Let t = -16.04 - x. Round t to 1 decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2. Let a(l) = -21*l**2. What is c(a(y))?\nAnswer: -441*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -95433378 take away 0.7?\nAnswer: -95433378.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 15*a**2 + 27*a + 562. What is u(-14)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*p = 19, -5*y + 5*p + 70 = 10. Let k = y + -12. Which is smaller: -1\/54 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 3*u + 8. Let p = 69 - 45. Let h = 23 - p. Let o be ((-4)\/h)\/((-4)\/(-6)). What is x(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l**2 + 3*l**4 - 2 + 484*l + 483*l - 968*l as r + x*l**4 + o*l**3 + s*l**2 + g*l and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 52*d + 473. Let j be w(-9). Suppose -y - 3*o + 39 = -o, -3*y + 123 = 4*o. Suppose -j*c = -2*g + 57, -5*g + c = -y - 40. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*114.606.\nAnswer: 22.9212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 - 6*h + 5. Let v(s) be the first derivative of -s**3 + 11*s**2\/2 - 9*s - 7. Calculate 7*b(r) + 4*v(r).\nAnswer: 2*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w**3 + 0*w + 7*w**2 - 14*w + 12 + 3*w**2 + 4*w**3. Let j be a(-11). What is the greatest common factor of 18 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f - 11. Let r be z(6). Let i = -5 + 10. Suppose -2*s + r = -i. Which is the nearest to -0.1? (a) 1\/3 (b) -0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -21*j**2. Let m(d) = -d**2 - 3. Let x = 319 - 318. Let h(o) = 1. Suppose -9 + 0 = -3*i. Let a(w) = i*h(w) + x*m(w). Give r(a(t)).\nAnswer: -21*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**4\/3 + 1224*f**3 + 10438849*f**2 + 40485854374*f\/3 = 0. What is f?\nAnswer: -2231, 0, 8134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2004 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/144775?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*6\/(-20)*5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1036408 and 1412000?\nAnswer: 518204000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29385777 is divided by 5226?\nAnswer: 5205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + -30. Let u = 34 + a. What are the prime factors of u*-2*1155\/(-60)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.07 + -0.37. Let d = -0.008 - 4.992. Which is the second smallest value? (a) j (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -5. Find the third derivative of -2*y**4 + y**s + 8*y**2 - 10*y**2 wrt y.\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 3, -18, 5 in ascending order.\nAnswer: -18, 3, 5, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.07, 4.9, 212\/5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r**3 - 2 + 2*r + 6*r + 0*r - r**3 to o*r**3 + u + v*r + w*r**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 92 and 253.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 870959 is divided by 51198.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**3 + 8*c**2 + 38*c - 4. Calculate the remainder when 239 is divided by l(6).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (80\/64)\/(2\/(-8)). Put -3, 5, u in decreasing order.\nAnswer: 5, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 3:08 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**3 + 0*l**3 - l**4)*(-l - 3*l + 2*l + (-1 + 1 - 2*l)*(-5 + 0 + 3) + 13*l + 25*l - 12*l).\nAnswer: -28*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/6)*(u*((u**(4\/3)*u*u)\/u)\/u*u*u)\/u*u)**(2\/55) assuming u is positive.\nAnswer: u**(5\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 551 = 589. Let k = m + 689. Is 116 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4460 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 496, 432, 356, 268, 168, 56?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 136*u + 160*u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 92, 3944, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 297 - 299.11. Let f = 2.0245 + r. What is f rounded to 3 decimal places?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmzpspfzzmzzsz. What is prob of sequence mz?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28.4 + 28.3. Is 275 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 12:24 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 323\/4? (a) -8 (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 7*w**2 + w - 3. Let s be r(7). Suppose -s*f + 6 + 2 = 0. Suppose 226 = -f*n + 4*d, 6*n - 3*d = n - 572. What is n rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1678*u - 1687*u - 1685*u - 17*u**3 + 5049*u.\nAnswer: -17*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 22*s + 13. Let n be o(21). Suppose 0 = b + 4*f + 43, b = 2*f - n + 3. Let r = 62 - b. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/9228038 and 77\/26?\nAnswer: 119964494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 2. Let x(n) = -6*n + 14. Let g(q) = 14*j(q) - 2*x(q). Let m(u) = -3*u - 2. Let l(d) = 13*d + 9. Let h(a) = -2*l(a) - 9*m(a). Give h(g(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -4*c - 2*q - 12, q - 10 = -3*c. Suppose 0 = c*i - 3*i + 1. Solve -3*h = 2*r - 0*h - i, 3*r - 8 = 2*h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89 + -61. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 510379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1197*m - 538 + 269 - 967*m - 1627*m + 267 as u*m + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.32 (b) -1\/3 (c) -1 (d) -667639\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*i**2 - 38*i**2 + 69*i**2.\nAnswer: 74*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/17*1\/(-1))\/(-8).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.66 - 0.56. Let b = 182 + -1453\/8. Put -1\/3, b, q in decreasing order.\nAnswer: b, q, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1586 + 0.1414. Let y = -321\/52 + 90\/13. Which is the smallest value? (a) -0.2 (b) 6 (c) y (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2\/(-5))\/((-574396)\/(-18530) - 31) is divided by 202?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 19 = 4*j. Let o be (-2)\/(-6) - 2100\/(-18). Suppose j*n - o - 17 = -2*w, -3*w = 9. Calculate the remainder when n is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*y + 23 = 0, 0*y + y = -i + 5. Solve 2*c + 5*j + 4 + 16 = 0, 20 = -i*c - 5*j for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/27)\/(68\/(8976\/55))*60?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnsnnssnssssnsnnnns. Give prob of sequence sn.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1341388089.\nAnswer: 3, 4861, 30661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -56*j**2 - 297401*j + 297401*j - 4*j**3.\nAnswer: -4*j**2*(j + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 2, -0.06, -5, 4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -48502 and 126.0463107.\nAnswer: -48375.9536893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 558.3, -4\/3, 1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1112\/(-834))\/((4\/(-10))\/(9\/65))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6273 is divided by 396?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 579*j**2 + 537*j**2 - 126*j**2.\nAnswer: 990*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1971680576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -139*a**3*i - 10*a**3 + 1171*a**2 + 8*a*i - 1 wrt i.\nAnswer: -139*a**3 + 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 12, 2, -26, -78, -160, -278, -438?\nAnswer: -646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-126)*0 - 17?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 4*a + 2. Let c(n) = -3*n**2 - 9*n + 5. What is 4*c(b) - 10*r(b)?\nAnswer: -2*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 21*c + 0 + 0*c in the form b*c + i and give b.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-70)*4*-1\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(33)*-2)\/sqrt(11) + sqrt(9)\/sqrt(3)*-5 - (-1*sqrt(90)\/sqrt(3))\/(1*sqrt(40)))**2.\nAnswer: 363\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*t - 49 = 0, 15*b - 4*t = 16*b - 17. What is the remainder when b is divided by -4*5\/(-2) + -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 + -10 - (10\/(-2) + -1). What is the second smallest value in u, 22, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t + 1. Let z be d(-9). Let y = -19 + z. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 478.\nAnswer: -1434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*-2*(-3 - -1). Calculate the remainder when 65 is divided by 222\/10 + q\/40.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 351546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20413200 + -1?\nAnswer: -20413201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/6)\/((-30)\/(-52)). Let s = -1\/5 + p. Solve 0*t**2 + 2\/3 - s*t**4 + 8\/3*t - 20\/3*t**3 + 4*t**5 = 0 for t.\nAnswer: -1, -1\/2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 + 18*u - 41. Let g be j(8). Let c = g + 249\/10. Which is smaller: c or 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*((0 + sqrt(704))*5 - sqrt(704) - -2*(-1 + sqrt(704)))*5.\nAnswer: -240*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 7078*h - 632. What are the prime factors of j(2)?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffrrberffrdrfdf. Give prob of picking 1 d, 1 b, and 1 e.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19166223 and -4.\nAnswer: -76664892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-12))\/((-9)\/(-6)). What is the nearest to -0.2 in -1\/7, h, -4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, -0.1, 1\/9, -3 in descending order.\nAnswer: 1\/9, -0.1, -3, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21341628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2\/7 + 4015275*d\/7 - 4015274\/7 = 0. Calculate d.\nAnswer: 1, 4015274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, n: 4, m: 5, g: 3, f: 1, w: 1}. Give prob of sequence fggj.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32695590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7442*h + 12 - 3816*h + 1893*h.\nAnswer: -9365*h + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2281657 + 2267600.276. Let f = b - -14176. Let p = f + -119. Round p to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*p + 18*p + 4795 - 4723.\nAnswer: -5*p + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5 + 0*q**2 + 4 + q**3 + q**2 - 2*q**2. Let m(h) = -7*h**3 + 6*h**2 + 2*h + 6. Give m(s) + 6*o(s).\nAnswer: -s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-24)\/18*3 + 16 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 6*v - 2*o = -33, 5*v - 4*o - 9 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 877583887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -21835251559123.\nAnswer: -21835251559124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17)\/3 - (-4)\/6. Let j = -1384\/9 - -15242\/99. What is the second smallest value in 4, 2, t, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0165 rounded to 3 dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.7 + -0.3. Let m = -4 + 5. Let r = l - m. Which is the third biggest value? (a) -2\/5 (b) r (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*b - 179. Suppose -2*n + 2*d = -34, -n + d - 103 = -6*n. Calculate the remainder when b is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4568 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 1 + 1 - 2 - l**2 to the form a*l + p*l**2 + v and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 406 = -77. Let p be (-2)\/5 - i\/5 - 0. Solve 0 = -2*u + 5*u + p for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**22*v*v**(-13) assuming v is positive.\nAnswer: v**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 119*a + 17*a**2 - 50*a**2 - 2 + 17*a**2 + 14*a**2 + 0 in the form n*a + p + x*a**2 and give n.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-126)\/(-3)))\/((-8)\/28)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 35?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -476*f**3 - 479*f**3 + 953*f**3 - 214*f**4 + 2*f**4 + 2*f + 2 to u + q*f**2 + v*f**3 + i*f + l*f**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h + 198 = 21*h. Suppose 11 - h = -y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/2*388\/1649.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/((-3)\/(18\/(-4)))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010 (base 2) in base 9?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = p - 3*p. Suppose -49 = 4*m + 3*n + 2*n, 0 = -p*m - 5*n - 65. Let r = 35 + m. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -c**4 + 304*c**3\/3 - 2888*c**2 - 752. Factor t(r).\nAnswer: -4*r*(r - 38)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -1 (c) 29 (d) -3 (e) -68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 y when two letters picked without replacement from {y: 7, l: 3}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 12 = 4*y - 0, -5*y - 15 = 2*g. Let j(t) = 7*t**2 - t**2 + g*t - t. What are the prime factors of j(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*d + 11721, -45*d + 2347 = j - 47*d. Let o(i) = -5 + j*i - 2344*i + 1. Determine o(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 432, 746, 1060?\n\"Answer: 314*r + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 653 is divided by 153.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -0.2, 4, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 3) + 5 + 0 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105134524 + -2?\nAnswer: -105134530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135253210 (base 6) to base 4.\nAnswer: 22211212212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1603 + 2409. What are the prime factors of v?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/20*(2 + -6). Sort -12, 2, a in increasing order.\nAnswer: -12, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/18 - ((-4)\/(-12))\/(16\/(-144))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -291564?\nAnswer: -1\/145782","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 2*h**2 - 47*h - 30. Let q be f(14). Solve -u + w = 3, 5*w - 2 = 4*u + q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 9.97. Suppose -171*n + 166*n - 34 = -3*g, -2*g = -4*n - 24. Which is the third biggest value? (a) 3 (b) n (c) i (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 22 = 5*u, 646*u + 2*s = 648*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -2. Let d be (s\/(-10))\/((-1918)\/(-1778)). Let x = 2\/137 + d. What is the biggest value in -3\/2, 3\/11, x?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71499 is divided by 851.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 16) in base 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, n: 1, a: 1, i: 3, u: 4, t: 5}. What is prob of picking 1 i, 1 a, and 1 n?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5749 or 1?\nAnswer: -5749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m**2. Let o(c) = -418719*c. What is o(s(b))?\nAnswer: 1674876*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*v - 0*z - 148, -v + 38 = -3*z. Let r = 7 + v. Solve -2*x = -4*f + 2*x + r, -f + 5*x = -25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*y - 7 = 39*y - g, -3*y - 6 = -g for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 437481031.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/5990108 and 85\/12.\nAnswer: 17970324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 15*l + 28. Let j be v(-13). Suppose 5*u = j*t + 73, 2*t - 3*u - 6 + 85 = 0. Is t at most -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 8*d**2 + 6*d - 6. What is w(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -138, -163, -200, -249?\nAnswer: -310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80397 - -80403.0133. Let u = -6.584 + y. Round u to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7246.\nAnswer: 2, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -174, 0, 20, -7.\nAnswer: -174, -7, -5, 0, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/840 and 117\/1120.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*q + 24 = -4*z - 252*q, -5*q - 48 = -4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39 or -1319?\nAnswer: -1319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8 and -1311881.\nAnswer: -1311889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 528?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 4*g**2 + 5*g + 1. Let k(s) = -s**3 - 3*s**2 + 3*s + 4. Let r be k(-3). Let j be x(r). Solve -j = -f + 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 - -67. Let o = -10 + w. Suppose -r + 5 = -o. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 take away 109?\nAnswer: -110.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-24))\/(198\/(-528)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3095623842 to the power of 1\/2, to the nearest integer?\nAnswer: 55638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 171170447 and 143479?\nAnswer: 171170447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i + 3. Let s(k) = -5*k - 9. What is 3*s(m) + 8*v(m)?\nAnswer: m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**4\/36 - 12*c**3 + 2*c + 649. Solve f(b) = 0 for b.\nAnswer: 0, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + 4. Suppose -3*g - 2*g + 92 = 2*l, 0 = -2*g + x. Calculate the highest common divisor of l and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*r = -6 + 1, -5*q - 2*r + 19 = 0. Let p be (-9 + -2)\/((-3)\/q). Calculate the highest common divisor of 1 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 6*y**2 - 2*y - 10. Calculate q(7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4*(27\/18 - 1)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2190750 divided by -47625.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 58*z**2 - 196*z + 2598. Is t(14) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(128) - 6*(-2 + sqrt(2))**2.\nAnswer: -36 + 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - a + 4. Let r(z) = -6*z**3 - 8*z**2 - 70*z + 30. Calculate 8*f(v) - r(v).\nAnswer: 6*v**3 + 62*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/147)\/((-2)\/(-4)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7780*j**3 - 16312*j**3 + 8566*j**3.\nAnswer: 34*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 57.9678 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120694 and 7610974?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-3 - -3))*-2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2. Let w(n) = -553*n**2 - 371. What is w(f(d))?\nAnswer: -2212*d**4 - 371","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 20782*w**3 + 2*w**2 - 3*w + 4. Let j = 17 - -11. Let z be (-3 - j\/(-12))*6. Let t be l(z). What is t rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 30 + 757*h**2 - 84 + 23.\nAnswer: 757*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3*-1)\/(6 - 7). Suppose 0 = -5*s - 2*k + 26, 16 + b = 4*s + k. Find the third derivative of 0*y**4 + 2*y**4 - 4*y**s + y**4 - y**2 wrt y.\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -170392583*m - 200658839 wrt m.\nAnswer: -170392583","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4200 - -1195. What are the prime factors of g?\nAnswer: 5, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 10:23 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2332\/1515 - -60\/101. Let d be -2*((-3)\/(-6) + -2). Do d and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*x - 914 = -394 + 990 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 10:53 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -183 - -192. Suppose 3*o = n, 5*l - 3 = 2*l + 2*o. Solve -11 - 4 = -l*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -1\/2 (b) 1\/3 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 617 a factor of 196723046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of 67*n**7\/210 - 6*n**5\/5 + 43*n**2 + 2*n. What is the third derivative of g(w) wrt w?\nAnswer: 1608*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 79*t - 20*t - 18*t + 46*t as o + h*t and give h.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 44 = 28. Calculate the highest common divisor of q and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**3\/3 - 5*p**2 + 27*p + 15. Let x be n(-12). Suppose x*d - d = 6. Solve -2*q + 10 = d*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -9 + (-112)\/(-20).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - u**2 + 2*u**2)*(u - 2 + 2) + u**3 + 0 + 0 - u**3 + 3*u**3 - 3*u**3 + (-264*u**2 - 1133*u + 1133*u)*(5*u - u - u).\nAnswer: -790*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b - x = 15*b, -4*x = -3*b - b + 24 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 376.4382g to micrograms.\nAnswer: 376438200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 - 91*u - 228. Let b(i) = i**2 - 38*i - 91. Calculate 12*b(l) - 5*h(l).\nAnswer: 2*l**2 - l + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 2:36 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000020056551 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**6\/120 + r**5\/10 + r**4\/12 - 7*r**3\/6 + 2*r**2. What is the remainder when 140\/6 + 12\/(-36) is divided by u(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -8*l - 6 + 2*l**2 + 2*l - l + 2*l. Is 23 a factor of x(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72 + -54. What is the third derivative of -20*a**4 + 2948*a**3 + s*a**2 - 2948*a**3 wrt a?\nAnswer: -480*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 663740446?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 37160 (base 9) in base 13?\nAnswer: b460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/29)*o**(-1\/7))**(-20) assuming o is positive.\nAnswer: o**(300\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = d + d - 15, d + 4*y = -15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, l: 1, u: 4, g: 2, h: 4, z: 7}. Give prob of picking 1 g and 1 l.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -85 divided by -15\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/45 (b) -1.1 (c) 1\/3 (d) 0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d + 3*d - 30*d**2 - 11*d**2 - 7 + 52*d**2 - 23 = 0. Calculate d.\nAnswer: -1, 30\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -455, -1171, -1897, -2639, -3403, -4195, -5021, -5887?\nAnswer: -6799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*a**4 + 8*a**2*d**3 - 39*a + 24*d**3 wrt a?\nAnswer: -276*a**2 + 16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 13 = -i + 28, 4*o - 5*i = -14 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (48\/5)\/(9\/1035)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*-5)\/((-77)\/(3465\/(-20))*1\/4)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 1052 a factor of 28195393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 1, -8\/5, -470, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1367 + 897 = -8*t. Let j = t - -494. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 8*s**5 + 124*s**4 + 130*s**3 - 250*s**2. Let i(j) = 2*j**5 - j**3 + j**2. Let m(c) = 6*i(c) - z(c). Solve m(v) = 0.\nAnswer: -2, 0, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 + -35. Let w(u) = 10*u + 16 + 77*u**3 - o*u - 7 + 3*u**2. Is w(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g + 6. Let z(v) = -4*v - 5. Let r(m) = 5*j(m) + 4*z(m). Suppose -5*q = -k + 334, 4*k = 4*q + 108 + 156. Let o = q + 74. Determine r(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 649\/(-36) - (944 + -962).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8610*-0.0361\nAnswer: 310.821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - 6*s + 56, -15301*c - 2*s = -15299*c - 22 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64626, -129259, -193900, -258543, -323182?\nAnswer: -387811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23488 is divided by 139?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -2, 10486911 in descending order.\nAnswer: 10486911, 13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/42 and -5\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**4\/24 + 7*s**3\/6 - 12*s**2. Give u(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 867 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*593.\nAnswer: -296.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1699 is divided by 284.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + 7. Let o(j) = j**2 - 16*j + 24. Let t be o(16). Suppose -b = -2*u + b + t, 2*b = 3*u - 38. What is the remainder when m is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43920?\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10988903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b7b - 5?\nAnswer: -b84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5135.5 + -5136. Sort 5, -1, 17, -2, c in descending order.\nAnswer: 17, 5, c, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1045578*r + 289141 with respect to r.\nAnswer: -1045578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002422 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198 divided by 2.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(21)\/(sqrt(7)*2).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*h = 47*h + 26. Suppose -5*a + 12 = -13. Suppose -a*l + 19 = -f, 4*f + 0*l + l - 8 = 0. What is the third biggest value in 5, h, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 188\/5 - 38. What is the second biggest value in i, -1\/4, -0.5, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38915844?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-22933)\/(-150))\/(-17) + 9. Let c(g) be the second derivative of 4*g - 1\/20*g**5 + 0 + 2\/15*g**3 + d*g**6 - 4\/5*g**2 + 1\/10*g**4. Factor c(a).\nAnswer: (a - 2)**3*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 <= 151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5692*v**3 + 6*v - 34594 + 34594 - 6*v + 3970*v**3.\nAnswer: 9662*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + 3*-5*sqrt(405) + -3*(2 + sqrt(405) + 0).\nAnswer: -162*sqrt(5) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -78*t**2 + 17*t - 15. Let u(b) = -234*b**2 + 52*b - 45. Let c(m) = -7*f(m) + 2*u(m). Let h(v) = -11*v**2 + 2*v - 2. Give 2*c(s) + 15*h(s).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 1\/5 (c) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*a**3 + 4*a**3 - 4*a**4 - 11*a**3 + 4 wrt a?\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2816004*x**4 + 2*x + 2925184.\nAnswer: 33792048*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 50?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -11, 0.4, 1\/5, 4.79?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*n - 27*n - 72 = 0. What is the greatest common factor of 3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-22))**(-4) assuming d is positive.\nAnswer: d**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 264 and 3.\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2616 and 33027.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12894.3 - 12894. Let i = 1.8 - 1.6. Let j = -116\/105 - -8\/15. Put u, i, j, 5 in decreasing order.\nAnswer: 5, u, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 6427, -16730 in ascending order.\nAnswer: -16730, -2\/5, 6427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1788 > 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35557725*t - 35558156*t = 42669 for t.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0581 and -1?\nAnswer: -0.0581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + -16 + 35 + (5 + 0 - 0).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 6) in base 13?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5578167629?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 - 12*a + 12. Suppose 0 = 2*r - 3 + 13. Does 2 divide z(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 4*i**2 + 3. Let w be z(4). Find the second derivative of 192*b + 3*b**2 - w*b**2 - 184*b + 14*b**3 wrt b.\nAnswer: 84*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (110 + -219 - -80) + (-2 - 0) + 25\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -17. Let g(i) = -i + 11. Let a(s) = -8*g(s) - 5*n(s). Calculate a(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqqqvqqvqvvq. What is prob of sequence vqq?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 567707 rounded to the nearest ten thousand?\nAnswer: 570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.759208cm to micrometers.\nAnswer: 67592.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0762912 - 4.\nAnswer: -4.0762912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.151 + 0.151. Which is the closest to 3? (a) 1\/9 (b) l (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.056 + 3825.6?\nAnswer: 3825.656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 31637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 648086644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -73 (base 14) to base 13\nAnswer: -7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5\/609 + 3\/29. Let o = 0.09 + 0.01. Let r be -6 + ((-64)\/(-6) - (9 - 3)). What is the nearest to -1 in r, w, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2474*y - 65645 = -135*y + 4525 for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) - (sqrt(243) - (sqrt(243) + 0))*6)**2*6*4 + -2.\nAnswer: 5830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -14\/1357 (b) 0.2 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g - 61 + 233 - 92 = 0. Solve -g*v = 4*r + 11, 12*v - 9*v + 6 = -3*r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6570240*z**2 + 9729895*z.\nAnswer: -13140480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xh when two letters picked without replacement from {h: 3, d: 1, o: 6, k: 4, c: 2, x: 3}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -427*q**2 - 2987*q + 27. Give c(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 225648*o**3 + 9*o**2*t + 8139*t + 149 wrt o.\nAnswer: 676944*o**2 + 18*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 + 7. Let t(l) = 50*l + 625. Let d be t(-12). What is the greatest common factor of i and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 5*n - 1. Let j be y(5). Suppose -7 - 6 = 2*m + 3*l, 4*m + 5*l = -27. Let i be (75\/(-800))\/(10\/m). Are i and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 239859358 to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 4:54 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 798 + 2*l**4 - l**2 - 32*l**3 + 2*l + 3*l**2 + 57*l**3 - 25*l**3 to o*l**3 + q + y*l + m*l**4 + f*l**2 and give q.\nAnswer: 798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -2, -7, -22, -53, -106, -187, -302?\nAnswer: -457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w**2 + 16*w**2 - 14*w**2. Let p(y) = -y**2. What is s(p(c))?\nAnswer: 7*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c**2 - 198*c + 103. Calculate v(-5).\nAnswer: 1268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/6, -3, -5, -81, -1\/7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10054 is divided by 86?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 37 - 18 - 4*a + 10*a. Let v(u) = -7*u - 18. Let m(h) = 5*r(h) + 4*v(h). Find the first derivative of m(x) wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -292*h - 16375. What is q(-56)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c - 6. Let g(v) = v**2 + 9*v + 8. Let a be g(-3). Let q be r(a). Put q, 3, -5, -15 in ascending order.\nAnswer: -15, -5, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44754 is divided by 3724?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 2946454073.86.\nAnswer: 2946454070.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (159 + 799 - 83)*(q**2 + 2 - 2)*((0*q + q + 2*q)*(-q + 2 - 2) - 4*q + 2*q**2 + 4*q - q**2 - 3*q**2 + 3*q**2).\nAnswer: -1750*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 608400 divided by 65?\nAnswer: 9360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68004769 is divided by 10728.\nAnswer: 10705","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -532 + 613. Calculate the remainder when n is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 5*i = 5*w + 11, 0 = 2*w + i - 33. What is the remainder when w is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 130, -5, 7, 21, 9.\nAnswer: -5, 7, 9, 21, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23291 - 23286. Let z = -0.3 + 1.3. Which is the nearest to z? (a) 1\/7 (b) -8 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3706902 divided by 6117\nAnswer: -606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 80*l**3 - 5*l - 7*l**2 - 43*l**3 - 38*l**3 - 2. Calculate t(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (195\/20)\/13*40\/(-90). Sort m, -6\/5, 4, -0.1, -1 in ascending order.\nAnswer: -6\/5, -1, m, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -184 - -173 - 12\/(-2 + 1). Suppose -z = -3*n + 3 + 6, 13 = 2*n - 3*z. Let r = n + 0. Which is bigger: r or b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**3 + 131*t**2 - 67*t + 158. Let f be g(65). What is the greatest common factor of 672 and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f - 4 = -15*f. Solve 4*j - f + 0 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 63*f**2 - 4*f + 7. Let w(c) = -94*c**2 + 6*c - 11. Calculate 8*m(r) + 5*w(r).\nAnswer: 34*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*t**3 + 26*t**3 - t**2 + t**2.\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 801131 is divided by 855.\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2907 and 172482.\nAnswer: 517446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-5) - 147\/420.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*d + 13*d + 150*d**3.\nAnswer: 150*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 21021111211 (base 3) to base 15\nAnswer: 2c6a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9762 - -113.\nAnswer: -9649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5399*14\/5040 - 15 and 59\/1125.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 18*t**2 - 18*t - 17. Let y be a(-17). Suppose -4*h + 4*b + 37 = -51, y = h - 5*b - 38. Calculate the highest common divisor of h and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/5 - 133244*m**2\/5 + 443875736*m - 887644880.\nAnswer: 2*(m - 33310)**2*(m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.985 - -0.215. Let j = l - 6.9. What is the nearest to 0 in 0, -5, j, -22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99941946.\nAnswer: 2, 3, 13, 17, 23, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**3 - 95778212*q**2 + 191556436*q - 95778220 = 0.\nAnswer: -23944555, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9858 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -4 - (-1 + (-2)\/9).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -38.866272.\nAnswer: 77.732544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7298 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0\/(-2) + (-3 - -329)*1?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyrrpyyyyyf. What is prob of sequence yf?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 at least -402\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154474 divided by 12.\nAnswer: -77237\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 2728148.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 2 - (-4 - -9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3364*p**3 + 417*p**2 + 3370*p**3 - p - 270*p**2 in the form g*p**2 + y*p + f*p**3 + s and give g.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*k - 31 + 23 = 0, 5*k = -3*t + 32. Suppose 0 = 2*d - 2*r + 6, 4*d = -r + 4 + 4. Put d, -3, t in increasing order.\nAnswer: -3, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -20535578, -41071148, -61606718, -82142288, -102677858, -123213428?\n\"Answer: -20535570*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 2, -4, 590.2, -29 in descending order.\nAnswer: 590.2, 2, -0.06, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 404 in -0.1, -140, 1\/58?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5082 is divided by 101.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5244186, 10488375, 15732566, 20976759, 26220954, 31465151, 36709350?\nAnswer: 41953551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/1050)\/(2\/8)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14503, 1, -12, -1 in descending order.\nAnswer: 14503, 1, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 3:25 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.176 and 0.11.\nAnswer: 0.01936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 2:30 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-120)\/28)\/(5\/(140\/(-8))). Solve k - 14 = v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 7026607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 563 and 3597007?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 84, 84, 94, 120, 168, 244, 354, 504?\n\"Answer: s**3 - s**2 - 4*s + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 101431, 101428, 101425?\n\"Answer: -3*b + 101434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q**2 - 17*q + 20. Calculate a(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 13. Let t be -6 + 4 + (d - 0). Suppose -3*q - 5*r + 60 = 0, 3*q - 31 - t = 2*r. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 23. Suppose -2*z - 2*z = 4. Suppose -4*r - 2 = v - 6, v - 4*r = -12. What is the third biggest value in v, z, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/8358 and 3\/119.\nAnswer: 142086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 172*c**2 - 880*c - 702. Give k(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -1)*-1 - (75 + -77).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -12 = -7.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 165935, 1327489, 4480281, 10619933, 20742067, 35842305, 56916269?\n\"Answer: 165937*d**3 - 3*d**2 + 4*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z + 211. Let u be b(-35). Suppose -u*c + 47560 = -40*c. Round c to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-24)*15\/(-2))\/((-197)\/(-2364)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a0517 (base 16) to base 4.\nAnswer: -22200110113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 2*y + 12 = 0, -3*k = 5*y - 2 - 30 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -38d3 - -6?\nAnswer: -38cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62\/(-38) - -1)*480\/1920.\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 11:05 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 y, and 2 s when four letters picked without replacement from yzyyyyszzszopojyjjoo?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 3*j**2 + 7*j + 6. Let g be 2 + 3 + -8 - 1. Let l be r(g). Let a = -16 + 14. Put l, 4, a in descending order.\nAnswer: 4, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*w - 200 = -86*w. Which is the biggest value? (a) -2 (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + s**2 - s + 1. Let a(u) = -6*u**3 - 4*u**2 + 7*u - 5. Let y(q) = -4*a(q) - 20*z(q). Factor y(c).\nAnswer: 4*c*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 2) + -1 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -228 or -121?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-886464)\/32826)\/9 + 3. Let o = b - -125968\/246195. Calculate the common denominator of o and 133\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4385, 8565, 12745, 16925?\n\"Answer: 4180*g + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.17 + 0.03. Let s = j - -0.1. Sort 0.2, 3\/7, s.\nAnswer: 0.2, s, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30447454*b*h**3 + b*h**2 + 4*b*h + b - 1590*h**2 - 361 wrt h.\nAnswer: 182684724*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvh when three letters picked without replacement from {c: 1, v: 1, h: 2, k: 1, y: 1, n: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**5 + 16*c**4 - 16*c**4)*(-1 + 0 + 0).\nAnswer: -2*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -35*t**3 - 13*t**2 - 13*t + 13. Let v(j) = -18*j**3 - 6*j**2 - 6*j + 6. What is -6*r(y) + 13*v(y)?\nAnswer: -24*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 288566585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**3 + 13*j**2 + 67*j - 450. Give f(5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6329 a factor of 1327944451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 197.183g in tonnes?\nAnswer: 0.000197183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -4*v + 7*v. Let a = 149 - v. What is the least common multiple of 8 and a?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(2299) + 4)**2 + sqrt(2299).\nAnswer: 165*sqrt(19) + 2348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*a**3 - 6*a**4 + a**2 - 5385*a + 5385*a + (2*a**3 + 2*a**2 - 2*a**2)*(-a + 5*a - 2*a) as r*a**4 + x*a**2 + l + i*a + o*a**3 and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (555\/(-25) - -18)*(-25 + 20).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 - 5*u - 5. What is d(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1297*t - 8263 = -1218*t + 58810 + 20952 for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 3*k - 9, 5*i - 4*k + 42 = 0. Let s be 3\/18 - 264\/(-144). Which is the second smallest value? (a) s (b) -3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 914, 3112, 7396, 14462?\nAnswer: 25006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**5 - 3*b**5 + 5*b**5 + 4 - 4 + b**5 + (b + b**2 - b)*(4*b**3 + 2*b**3 - 4*b**3) - 3*b**5 + 3*b**5 - 3*b**5 + 27*b**2 + 0 + b**5 + 1 - 22*b**2.\nAnswer: 2*b**5 + 5*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -598859\/32 - -18712. Calculate the common denominator of z and -15\/74.\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1163152 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -39 (b) 3\/7 (c) -920924\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1239 and 153?\nAnswer: 63189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11286 and 855?\nAnswer: 56430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*v = -3806 + 3364 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 10 - 2. Suppose f*z - 3*z - 83 = -a, 0 = a - 5. Suppose 182*t - 179*t = z. Calculate the greatest common factor of 39 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k**4 + 202*k**3 + 998*k**2?\nAnswer: 72*k + 1212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -15*y - 17. Let d(h) = -7*h - 8. Let t(c) = -6*b(c) + 13*d(c). Let p be t(-5). Let -p*s**4 + 0*s**4 + 5*s**4 + s**2 + 4*s**3 + s**2 = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56377534 to the nearest integer?\nAnswer: 7508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4597395 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -151*b - 318. Determine i(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118, -461, -1032, -1831, -2858?\nAnswer: -4113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/3 - 2*k**2\/3 - 20*k + 48.\nAnswer: 2*(k - 4)*(k - 3)*(k + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -23.02. Let p = 0.92 + n. Is 1\/3 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 1:55 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54848\/1539 - -664\/19. Let u = 1001\/918 - 39\/17. What is the common denominator of u and c?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*d + 164*d**3 + 132*d - 182*d to the form s*d**2 + p*d + i + l*d**3 and give l.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 48400711 + -0.1\nAnswer: 48400710.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*x**3 + 381*x - 381*x - 276 + 158*x**3.\nAnswer: 248*x**3 - 276","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25.842 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 3\/14, 45, -5, 7?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (2 - 1) + (-45)\/35. Suppose 9 = 7*s - 26. Which is the nearest to 0? (a) s (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*t - 40 = -54*t. Let k be ((-16)\/20)\/(-2) - t\/20. Solve -3*a = -k*a - 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 + 24. Let l(y) = y. Let r(n) = 2*n. Let i = 70 - 62. Let p(m) = a*r(m) + i*l(m). Let k(h) = -33*h**2. Give k(p(d)).\nAnswer: -132*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 3 = -w + 3*b, 0 = -3*w - b + 46. Does 2 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*i + i - 25*i**3 - 28 + 11 + 17 as x*i**2 + a*i + u + y*i**3 and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 961*m**3 + 3*m**2 - 478*m**3 - 482*m**3 - m in the form u + x*m**3 + c*m**2 + z*m and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**2\/5 + 19*l\/5 = 0.\nAnswer: -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*n**4 + 139*n**3 - 3078*n**2 - 54*n + 248898 wrt n?\nAnswer: -36*n**2 + 834*n - 6156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggrgggrggggggggggg. What is prob of sequence rrg?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 7*q**2 - 2*q - 4. Let v be c(-6). Let h be 1*(-3)\/5*-5. Suppose -h*k + 22 + v = 0. Calculate the least common multiple of 20 and k.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -6 + -6 + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9.777, 30, 0.4.\nAnswer: 0.4, 3, 9.777, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1763705 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zurzeezuzzzz.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 310, -113, 4.\nAnswer: -113, 4, 310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n + 1. Let b(y) = -19*y - 20. What is -b(u) - 6*j(u)?\nAnswer: u + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 26)*(-1 + 0). Suppose -3*g - 2*g = -h. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*q**2*x**3*z**3 - 568*q**2*x**2*z**2 + 6*q*x**3*z**3 + 22*q*z**3 + 13*x**2*z**3 wrt q?\nAnswer: 6*x**3*z**3 - 1136*x**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 63023 and 0.01323867.\nAnswer: 63023.01323867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000767069 rounded to six dps?\nAnswer: -0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 146\nAnswer: 5\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -3*h - 20, 26 = 7*h + 3*z + 42 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zwxwjzzxzzztjj. What is prob of sequence zzz?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 5*f + 3*x, -5*x - 56 = 3*f. Is (4\/f)\/((-6)\/60174) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 15) in base 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 6\/(-4))\/((-111980)\/(-610800))\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 17*l - 62. Let k be w(11). Suppose -5*m + 17 = 5*b - 13, -3*b - 2*m + 21 = 0. Solve -t - u = 3*u - b, 2*u - k = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 277 - 220?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2242 to three dps.\nAnswer: -0.224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 27 + 13)*(0*c**2 + 0*c**2 - 2*c**3)*(4 - 3 + 0).\nAnswer: 76*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -13, -17, -23, -31?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(27*10\/450*100\/90)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*0\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -494, -19397, -0.1, -4 in descending order.\nAnswer: -0.1, -4, -494, -19397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 a when two letters picked without replacement from {o: 4, a: 3, l: 5}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crff when four letters picked without replacement from rrrccfcccrccrrccfcc.\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + -2 + 1 - -7. Solve -a = -v*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or 31940750?\nAnswer: 31940750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001111011110 + -1?\nAnswer: -10001111011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 944, 2049, 3524, 5375, 7608, 10229, 13244, 16659?\nAnswer: 20480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 2:09 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - p + 393 = -0*p, -3*p + 152 = 2*s. Calculate the remainder when s is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, b: 1, t: 2, r: 1, a: 2, j: 7}. Give prob of picking 1 r and 1 j.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - p - 3 = 11, 2*p = -q + 7. Let s(f) = -f**2 + 8*f + 4. Let v be s(q). Let z = v - 12. Which is the third biggest value? (a) z (b) 4\/5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -2.1. Let i = f + 3.1. Let u = -57.8 + 58. Which is the biggest value? (a) -4 (b) i (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*r - 47*r = 52*r + 182 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24034282?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -24*g + 21*g. Let z(m) = -2*m**2 - 8*m - 17. Let a(n) = -1. Let i(k) = g*a(k) - z(k). Is 15 a factor of i(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**7\/5040 - n**6\/360 - n**5\/60 + n**2. Let t(h) be the third derivative of b(h). Let p(v) = 2*v + 3. Give -2*p(d) - 3*t(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359100 is divided by 413.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is (110 - (69 - -31))*(1 + 1 - 94\/(-10))?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -196*w**2\/3 + 2408*w\/3 - 7396\/3 = 0.\nAnswer: 43\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1118c7d + -1b?\nAnswer: 1118c62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-1)*p**(-2)*(p\/(p*p**0))**(3\/2)*((p**(2\/11)*p)\/((p\/(p*p**(-2\/21)*p))\/p))\/(p**(-1\/2))**(3\/2) assuming p is positive.\nAnswer: p**(3545\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 5)*(0*n**2 - 2*n**2 + 4*n**2) - 2*n**2 + 2 - 2 - 12*n**2 + 17*n**2 + 26*n**2.\nAnswer: 23*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, k: 3, d: 3}. What is prob of picking 1 d and 2 k?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -d + 6. Suppose -4*g - 4 = w, d*g + 4 = 6*g - w. Solve 3*r - r = g for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1547 + -865. Calculate the remainder when b is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -8, 0, -17, -4 in increasing order.\nAnswer: -17, -8, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1395 + 1399. Let n = -0.1 + 3.1. Which is the closest to n? (a) m (b) -0.3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95841 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 15*g**2 - 2*g - 1. Let p = 8 - 5. Suppose 5*k + 2*j = 50, 2*k = 7*k + p*j - 50. Calculate the remainder when b(-15) is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 625 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2067489939 - 92.\nAnswer: -92.2067489939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 700 is divided by 95?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 31*v**2 - 127*v + 164. Give u(-5).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0540539 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or 0.43?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/3, -6\/13 in ascending order.\nAnswer: -6\/13, -1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, d: 2, u: 5, h: 2, c: 2, s: 2}. What is prob of picking 1 q and 1 u?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82755560?\nAnswer: 2, 5, 29, 71341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 81070 - 81066.6543. Let i = 3.609 - u. Let a = i + -0.26. What is a rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (58\/(-4640))\/((-42)\/60).\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(10)\/(sqrt(20)\/sqrt(4)) + sqrt(2) + -1 + sqrt(128))*6 + 0)*-4.\nAnswer: -72 + 720*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -49, 2630 in descending order.\nAnswer: 2630, 1\/2, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/19)\/2)\/((-347)\/(-347))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17777 and 48427.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136743 is divided by 556.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of j**4\/24 - j**3\/6 + j**2\/2 + 2. Let y(c) be the second derivative of v(c). Determine y(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/51327 (b) -8\/5 (c) 0.2 (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*z - 2*v - 9, 5*z = -3*v + 16. Calculate the remainder when z is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (-1 + -4 + 2). Let o(y) = 2*y**2 + 2*y - 2. Let j be o(-2). Let x = q - j. Which is smaller: x or 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -59, 0.58, 4, 47 in decreasing order.\nAnswer: 47, 4, 0.58, -2\/5, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**8\/168 - 2*s**7\/105 - s**6\/30 + 2*s**5\/15 + s**4\/12 - 2*s**3\/3 + 2*s**2. Let i(o) = 0. Calculate o.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1331 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 5*k - 2*k - 3231, 3*k - 4*j = 3266. Let o = k - 1042. What is the highest common divisor of 190 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1489.9686 to the nearest ten.\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3438 (base 13) to base 2\nAnswer: -1110010010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4009.56 and -0.08.\nAnswer: 320.7648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16683560.\nAnswer: 2, 5, 417089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b + 23. Determine g(6).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 777083487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 225*m + 3390. Suppose 0 = 5*w - 446 - 69. What is the remainder when w is divided by d(-15)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -269\/1419 - -1\/129. Let p(h) = -h - 18. Let f be p(-14). Let l = 2879 - 14399\/5. Which is the third biggest value? (a) o (b) -11\/3 (c) l (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -1) + (232 - -6). Let t = -63 + x. Calculate the highest common factor of t and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 10797289*j**2. Let q(g) = 3*g**2. Determine u(q(n)).\nAnswer: 97175601*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 554 by 18407.\nAnswer: 554\/18407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.8 + 4. Let m = 1364712 - 1364713.80000068. Let n = m - w. Round n to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54204.\nAnswer: 2, 3, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 48 (base 10) to base 7\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1086 and 2973?\nAnswer: 1076226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, 4, 1, -12, -34, -2 in decreasing order.\nAnswer: 53, 4, 1, -2, -12, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p - 2*p + 3*p + 12*p to the form v + o*p and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 265 - 262. Let j(g) = 3 + g + 4 - 2*g. What are the prime factors of j(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.93 - -0.43. Let s = 0.2 + f. Let o = s + 1.432. Round o to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*f + 6, 5*f - 2 - 6 + 6 = -j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y + 4*y - 19 - y**4 + 21 + 2*y**2 to the form u*y**2 + b*y**3 + j*y**4 + n + g*y and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 387.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 1266295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-26))\/(-38*(-25)\/55575)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1760 and 68860?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.46 + 0.04. Let t = 3\/13762 + -2649191\/27524. Let l = -97 - t. Which is the third smallest value? (a) 0.3 (b) l (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b8d1d5 - 4?\nAnswer: -1b8d1d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 m when two letters picked without replacement from {e: 1, m: 1, b: 1, u: 1, k: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/25)\/((9504\/(-120))\/36).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(95)\/sqrt(5) + 1).\nAnswer: 5 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -1, -4 in increasing order.\nAnswer: -4, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -9) + (13 - 1 - (4 - 3))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 18387*g**2 + 6*g - 2. Is q(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - -3*sqrt(228))*2)\/(sqrt(12) + sqrt(1452) + (sqrt(1452) - 3*sqrt(1452))).\nAnswer: -4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 7*c**2. Suppose -7*q - 2*j - 3 = -6*q, 3 = -j. Let t(k) be the third derivative of 0*k - 1\/24*k**4 + 0*k**3 + 0 - q*k**2. What is s(t(a))?\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/6*(-21)\/(-14). Suppose 5*v - 4*z + 35 = -2*z, -q*v + 2 = -4*z. Let g(s) = 40*s**2 + 9*s - 40. Is g(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 349828 and 95.\nAnswer: 1749140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 219 + -199. What is the highest common divisor of 50 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + -36. Let o(w) be the first derivative of 22*w**3\/3 - w**2\/2 - w - 1. Is o(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*j + 2*j + 10 = 0, -3*h = 4*j - 15. Let l(t) = -t**3 + 8*t**2 - 7*t + 1. Let y be l(7). Let o(c) = 2 - c - y + h*c. Calculate o(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(1134\/(-5))*11*408\/16830\nAnswer: -2\/243","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/4)\/(-3)*(-8)\/(-12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**3\/2 - 12060*o**2 - 24240600*o = 0. Calculate o.\nAnswer: -4020, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.2? (a) 9 (b) 2\/105 (c) -2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -310257 (base 11) to base 4.\nAnswer: -1321212302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f + 5*j - 22, 8*j - 26 - 7 = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 370 by 30394.\nAnswer: 185\/15197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.9 - -6.82. Let p = -5.92 + f. Which is the smallest value? (a) -0.3 (b) p (c) 1\/6 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -8753*o**4 + o**3\/3 + o**2 + o + 1. Let i be x(-1). Let v = 34988 + i. What is v rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 5057\/3934?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 517 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/115, 4, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 229, 4, 127, -3, -4.\nAnswer: -4, -3, 4, 127, 229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 53, 116, 235, 428?\nAnswer: 713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 467 = 466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(19) - (-5 + sqrt(114)\/sqrt(6))) + sqrt(19).\nAnswer: sqrt(19) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 + -202?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143098 is divided by 62.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-1)*16\/(-6). Let i(s) = -1. Let d(q) = -q**2 + 6*q + 4. Let y(u) = -d(u) - i(u). What is the units digit of y(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnn when three letters picked without replacement from nnnnlnl.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -2*c**3\/21 - 92*c**2\/7 - 4232*c\/7 - 239. Factor y(a).\nAnswer: -2*(a + 46)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 60 (b) 5 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -416 - -419. Which is greater: p or 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -35 (b) -2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -12 (b) -2\/5 (c) 5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -2*l**4\/3 - l**3\/2 - 36*l**2 - 36*l. What is the first derivative of d(o) wrt o?\nAnswer: -16*o - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -294, -442, -834, -1590, -2830, -4674, -7242, -10654?\nAnswer: -15030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44604 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*((t\/t**(-7\/2))\/t*t)\/t)\/(t\/((t*t**(-5))\/t)))\/(t**0*t**19*t))**(-22) assuming t is positive.\nAnswer: t**473","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m = 57*m - 39. Let q be -1 + (0 - (2 - 1)). Sort m, 3, q, -1.\nAnswer: q, -1, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (30025 - 30025 + 163*l + (-2*l + 2*l + l)*(-2 - 1 + 1) + 2 - 2 - l - 2*l + 4 - 4)*(0*l + 0*l + l)*(l - l - l) as k*l + b + d*l**3 + o*l**2 and give d.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 12*h**2 - 6*h. Let c(v) = 30*v**2 - 2*v - 3. Let o(b) = -24*b**2 + 3*b + 2. Let m(s) = 2*c(s) + 3*o(s). Determine -5*f(u) - 6*m(u).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 943 divide 6018581511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*a**4 + 7*a**2 - 273*a wrt a?\nAnswer: 252*a**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(1\/9))\/(u**(2\/17)*u)*(u**(-3))**9 assuming u is positive.\nAnswer: u**(-4013\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*u - 159*u + 18660 = -108*u + 295*u for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + 0. Let t = -48 + 80. Let i = t - 37. What is the closest to j in -1, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/15))**(-4)*(l**7\/l)**(-39) assuming l is positive.\nAnswer: l**(-3514\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 0 - 5296*t**3 + t + 3*t**2 + 5295*t**3 + 3. Suppose 3 = 4*r - 9. Calculate q(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-5\/2)*y))**(4\/5)*y**(-20)\/(y\/(y**(2\/27)*y)) assuming y is positive.\nAnswer: y**(-484\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m + 2*m - 4*m)*(3*m**2 + m**3 - 3*m**2) + 102*m**2 - 6*m**4 + 43*m - 46*m - 128*m**2 as g*m + c + z*m**4 + l*m**2 + i*m**3 and give l.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -130 - -70. Let v = f + 61. Which is the nearest to v? (a) -3 (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/28 - (2 - 4\/(-14)). Find the common denominator of 73\/6 and (-1)\/r*(-234)\/(-81).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 852952064 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 136*u**2 - 3030*u - 234. Determine x(-108).\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*d + 11 + 115 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 3*l = 5*m - 51864, -4*m - l + 41481 = 0. Let q = m - 145255\/14. Calculate the common denominator of q and ((-2670)\/(-20))\/(-1 + -404).\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 7*p**2 + 4*p + 4. Let j be x(-6). Let z be (12 + 0)*76\/j. Suppose -5*k = -o - z, 5*k + 4*o = k + 60. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 402334, 402333, 402332, 402331, 402330?\n\"Answer: -w + 402335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((14 + -1)*2)\/(-2 - -4). Let x(h) = h**2 + 10*h**2 - c*h**2. Let w(l) = -2*l. Calculate x(w(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 2*y - 25, -4*q + 4*y = -0*y + 32 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.8 + 6.8. Put j, -5, 0 in ascending order.\nAnswer: -5, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, p: 2}. What is prob of picking 2 v and 2 p?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - (-812 - 3)) + -2. Let a = k - 411. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -230225033 (base 6) to base 10\nAnswer: -4218285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g = -5*g - 5820. What is the remainder when g is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 50*c**3 - 41*c**2 + 11*c - 11. Let v(d) = -10*d**3 + 8*d**2 - 2*d + 2. Let y(j) = -2*b(j) - 11*v(j). What is the third derivative of y(w) wrt w?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1040995 is divided by 3470.\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -111258*l*u**5 + 3*l*u**2 - 5*u**4 - 147256*u**2 wrt u.\nAnswer: -6675480*l*u**2 - 120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6369239354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttr when three letters picked without replacement from {t: 5, r: 9}?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28271?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j - 10. Let q be f(5). Solve 2*c = -q*r - 3*r + 13, -5*r + 2*c + 11 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 26*j**2 - 2*j + 1. Let i be n(1). Suppose 5*l - i = 0, -3*v + 9 = -v + l. Let q(d) = -d**2 + 6*d - 3. Give q(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4*(-8 + -2). Let f be -7 + 9 + (-8)\/y. Find w such that 2\/5*w**4 + 0 - f*w**3 + 2\/5*w - 2\/5*w**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**21\/v*v**(-7)*v**(-2\/21)*v*((v*(v\/(v*v**(2\/5)\/v))\/v*v)\/v)\/v assuming v is positive.\nAnswer: v**(1418\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*k = -5*u + 26, -3*k - u = -13. Let w be (-8)\/6 - (76\/k)\/(-4). Solve w*d - 2*d + 3 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -122222?\nAnswer: -122213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1161 - 2541 + 937)*(13 + 8 - 4*d**4 - 22).\nAnswer: 1772*d**4 + 443","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 n when four letters picked without replacement from rsrbbbnbbbsrbnn?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48052 = -11*z - 18825. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20866, -83197, -187074, -332491, -519442, -747921, -1017922, -1329439?\nAnswer: -1682466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8208) + (sqrt(8208) - -1*sqrt(8208)*6))\/(sqrt(24)\/sqrt(2) + 2*sqrt(3)*-1 + sqrt(3)).\nAnswer: 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) -2\/3 (b) -97 (c) 1 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/16)\/(14\/(-56)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -942 = 3*y + 771. Let l = y + 615. Let g(i) = i**3 - 4*i**2 - i + 4. What is the least common multiple of g(5) and l?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 12*c**4 + 18*c**3 - 220*c**2 + 218*c + 81. Let z(g) = 2*g**4 - 2*g - 1. Let x(p) = b(p) + z(p). Factor x(d).\nAnswer: 2*(d - 2)**2*(d + 5)*(7*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/1060 and 95\/13886.\nAnswer: 138860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11528.373 - -10972.94801. Let z = v + -8.89401. Let w = z - -564. Round w to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*v**4 - 362*v**3 + 82*v**2 - v - 20693?\nAnswer: -60*v**2 - 2172*v + 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmvvmvaa. What is prob of picking 4 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 5*x**2 + 3*x - 9. Let y be v(2). Suppose 3*g + 5 = 5*n, -g = -2*n + 3*n - y. Solve -q = -0*q + g for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 11*x**2 - 10*x - 13. What is d(-12)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8073034 + -4133034. Round w to the nearest 100000.\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/8)\/(o**(-1\/5)\/o))**(1\/33))**(10\/13) assuming o is positive.\nAnswer: o**(53\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x = -x - 50017. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c - 40*c**3 + 13*c**3 + 259*c**3.\nAnswer: 232*c**3 - 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -91?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 887165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrrr when four letters picked without replacement from {w: 2, r: 3, y: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324632843 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 + 91. Suppose -5*c + 5*q - 235 + y = 0, 4*c - q = -171. Is -42 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) 4 (c) -6\/5 (d) -2\/5 (e) 1\/4 (f) -102\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*r**3 + 1077*r + 25*r**3 - 1077*r)*(r**2 + 3*r**2 + 2*r**2).\nAnswer: 294*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 266153 and 3459974\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 133838 * -2791\nAnswer: -373541858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0026604118 rounded to 5 dps?\nAnswer: 0.00266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 2*h + 1. Let r be x(-3). Suppose 2*o = -s + 15, r*o - 30 = 2*o + 4*s. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 203 + -206. Let v be q\/4*(-72)\/18. Solve -v*g = -9 + 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 0.17, -119, 5, 7, -24?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24945 is divided by 234?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**3 - 5*t**2 - 2*t - 3. Calculate w(-4).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 6:21 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 6*m**2 + 62*m + 125. Determine d(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 7*h + 19. Is b(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1525785 is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145905 is divided by 3389.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*s + 12*s - 7*s)*(252 - 252 + 82*s) - 5*s - 51*s**2 + 4*s + 53*s**2 in the form x + z*s + h*s**2 and give h.\nAnswer: 986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2)*51\/85?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-320)\/(-6))\/5)\/((624\/(-36))\/(-26))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 9*g + 3. Let j be ((15 + -1)*1)\/1. Let t be ((-1)\/2)\/(1\/j). Let a be m(t). Calculate the greatest common divisor of 51 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -3*d - 2*z, -37*d + 33*d = -20*z + 296 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -510*j**4 + 117*j**3 - 51*j**2 - 413032874 wrt j?\nAnswer: -2040*j**3 + 351*j**2 - 102*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 171 and 124641?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -45, 132, -6\/7, -5?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 13) to base 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 12*p**2 - 9*p + 23. Let i be h(13). Let t be 4\/6*(i\/(-10) + 0). Which is the nearest to 1? (a) 0.1 (b) t (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -235 - -229 - (-10 + -1 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1587?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q\/((((q**(1\/4)*q)\/q*q)\/q)\/q*q)*q*q))**(-2\/25)*q**(1\/9)*(q*q\/(q*q**(-4\/5)*q))\/q assuming q is positive.\nAnswer: q**(59\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3119 - 3587 + 1512 + 2*r**2 - 798. Let x(g) = 2*g. Determine x(d(n)).\nAnswer: 4*n**2 - 11984","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216*i - 181*i - 2695 = 0. What is the lowest common multiple of 105 and i?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/3)*r**(-2\/33))**(-18) assuming r is positive.\nAnswer: r**(144\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49688 + 49692.0206. Round f to two decimal places.\nAnswer: 4.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 0.1 (c) -2\/17 (d) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, 5 in ascending order.\nAnswer: -3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**4\/4 - 141*v**3\/2 + 358*v**2 - 435*v\/2 - 2583\/4 = 0. What is v?\nAnswer: -287, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-12))\/(1\/4). What is the biggest value in 5, a, 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40003 (base 6) in base 5?\nAnswer: 131222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -666*b + 108. Let p(m) = 31*m - 5. Calculate -5*o(q) - 108*p(q).\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -794395 in descending order.\nAnswer: 3, 2, -794395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-6)*((-2)\/(-2))\/((-259)\/37)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 - 5*s - 7. Is c(-4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -10967*j**3 + 3*j**2 + 108*j + 590. Let c be o(-5). Round c to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1930229 is divided by 193021.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -258 - 5*a + 2*a + 258.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174 = 9*l + 75 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r + 32. Let t be j(7). Which is the third biggest value? (a) -5 (b) 6 (c) 0.3 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-2 + 0)*(-102)\/170. Let s(a) be the first derivative of -4*a**2 - r*a + 1\/4*a**4 - 9 + a**3. What is s(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 1\/24*s**4 + 0*s + 0*s**3 + 8 + 4*s**2. Let l(z) = -4*z**2. Determine l(j(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1242\/1242)\/(2*119\/(-348) - (-4)\/6)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-10))\/((-3)\/(-10)). Suppose -q*s + 3 + 5 = 0. Find the second derivative of f**s - 6*f - 2*f**2 - 2*f**2 wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 7*o**2 + 7*o + 8. Let b be s(5). Let q(f) be the first derivative of -f**3\/3 - 5*f**2\/2 - 2*f - 14. What is q(b)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/4 of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -15 + 16 + -12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 250200 rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*s + 158*s = 260 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(17) - (sqrt(17) + 1)) + 5)**2 - 5*((sqrt(17) - sqrt(34)\/sqrt(2)) + sqrt(17))*5) + 0.\nAnswer: -25*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c - 8 = -29 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from omo. What is prob of sequence moo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10101332023213 + 11?\nAnswer: 10101332023230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/8 - 0 - 7222\/(-7536)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 + 11 + 3*g - 15*g**2 + 14*g**2)*(-11*g + 2*g - 7*g)*(-g + 5*g - 2*g).\nAnswer: -64*g**4 - 96*g**3 - 352*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*h + 2 = 0. Suppose h*s + 9 = -7. Let o(q) = q**3 + 7*q**2 - 10*q - 5. What are the prime factors of o(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -257*n + 32*n - 1474 - 326 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllnllln. Give prob of sequence lnn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 34 = s, 3*r - 38*s = -36*s - 23. Let u(p) = 15*p + 137. Determine u(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-142 - 4*u + 297 - 136)*((0 + 0 - 2*u)*(0*u + 2*u - u) + 2*u**2 - 3*u**2 - u**2 + 0*u**2 - u**2 - u**2).\nAnswer: 24*u**3 - 114*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -206 - -210. Solve -16 = 3*p + k*j, 3*j + 0*j = -5*p - 23 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (h - h + h)*(21*h - 13*h - 14*h + 2*h**2) as l + g*h**2 + i*h + n*h**3 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10761 and 0.0668.\nAnswer: -718.8348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**5\/5 + 4*o**4\/5 - 4*o**3\/5 - 8*o**2\/5 + 2*o\/5 + 4\/5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -41471.\nAnswer: -8294.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 16 = -3*u, 0*u - 3*q + 16 = -u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 757615351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9528456 millilitres?\nAnswer: 0.0009528456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 4*s, c + 4*c - 15 = -s. Suppose -c = -0*x - 4*x. Solve 2*b - 16 = 5*j, 2*b + j - 5 = -x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -16. Let m = 9.2 - 9. Which is the closest to m? (a) 0 (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 449\/7 - 64. Which is the closest to 2? (a) 3\/2 (b) -0.19 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -14 + 22. Suppose 3*o = 8*o - 10. Let r be o - 2 - 1 - -89. What is the greatest common factor of m and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*q**3 + 631*q**3 - 82*q**3 - 35*q**3.\nAnswer: 607*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 1:59 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19148321 and -0.3.\nAnswer: -5744496.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.4, -2, -2\/19, 0.04 in decreasing order.\nAnswer: 0.04, -2\/19, -0.4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 476140 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x + 3. Let n(o) = 3*o + 10. Let p(r) = 3*n(r) - 10*v(r). Let a(t) = 2*t**2 + 7*t**2 - 3*t**2. Calculate p(a(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -216, -325, -434, -543, -652?\nAnswer: -761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -653 + 657. Solve f*z - 20 = -0*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t - 15. Let c be y(6). Let s = -4601 - -5081. What is the greatest common factor of c and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 5*x**2 + 2*x. Let z be (-4)\/(2 - (3 + -2)). Let g be k(z). Suppose -2*j - g = -4*j. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392653037.\nAnswer: 7, 31, 1809461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10779 + 6785 = 4*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -619.72 - -619.690219. Round f to 4 dps.\nAnswer: -0.0298","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -103881, -107748, -111615, -115482, -119349?\n\"Answer: -3867*k - 100014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 5*v = -11, -v = -15*r + 17*r - 7 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -3*g**5\/40 + 3*g**3\/4 + 3*g**2\/2 + 14*g. Factor i(r).\nAnswer: -3*(r - 2)*(r + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/162 and 77\/6126975.\nAnswer: 36761850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -411 (base 11) to base 16.\nAnswer: -1f0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**3 - 68*w**2 - 287*w - 310. Let x(b) = 3*b - 2. Let y be (-9 - -17)*1 + -10. Let j(l) = y*n(l) + 6*x(l). Factor j(r).\nAnswer: -4*(r - 38)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -9, 4*f - 24 = 2*z - 5*z. Suppose 17 = -z*v + x + 52, -3*x - 33 = -4*v. Solve -t - 2*t + v = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (18\/3)\/2. Suppose w*p - 30 = -0*v + 4*v, 0 = -5*p + 2*v + 36. Suppose 3*h - 1 = 8. Solve -h*l = -0 + p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1680)\/135)\/(-28))\/(((-2387)\/66)\/(-31))?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000354297 rounded to 7 decimal places?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1886239 from 0.946.\nAnswer: -1886238.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*z = 51*z. Suppose 5*b + z*h - 5*h - 120 = 0, 5*b - 112 = -3*h. Calculate the remainder when 183 is divided by b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**6\/360 + q**5\/24 + q**4\/3 + q**3\/6 - 3*q**2. Let o(p) be the first derivative of t(p). Is 7 a factor of o(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3 = 6*b. Suppose -3 = -o + b. Suppose o*f + 4*d + 6 - 26 = 0, -3*d = -6. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.68 - 0.66. What is the nearest to 1 in -1, -0.2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65354 and 656?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 19*p + 36. Let n be x(-15). Let h be (-1)\/6 - 2\/n. Sort -4, h, 1.\nAnswer: -4, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04256734 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 40 (b) 10 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmvv when four letters picked without replacement from vvvwmexvvvxxxxexxvxx.\nAnswer: 7\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y**3 - 2*y**3 - y**3)*(3515 + 4331 - 6603) + (-2*y - y + 4*y)*(-y**2 + 4*y**2 - y**2) to the form v*y + i + f*y**3 + c*y**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + n = -7, -y = -2*n - 4 - 0. Let g be (-7)\/7*(-2 - 2). Suppose -y*q = -g*q. Solve 6 = 2*p + 3*a + a, q = -4*p + 3*a - 21 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4*d + 17. Let c be u(-8). Let o = c + 33. What is the highest common divisor of o and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 112. Calculate the remainder when k is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 43\/2*c**2 - 31*c + 22. Differentiate i(b) wrt b.\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -825, -2062, -3825, -6114?\nAnswer: -8929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**3 + 29*s**2 - 42*s + 10. Let l(c) = -5*c**3 - 57*c**2 + 83*c - 20. Let i(w) = 3*l(w) + 7*z(w). Does 30 divide i(30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-130675)\/10890 + 4 - (5 - 13). Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9233, 18464, 27695, 36926, 46157?\nAnswer: 55388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + -2.1. Let n = -1.94 + -0.06. Let r = k - n. What is the second smallest value in r, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53877904.\nAnswer: 2, 3367369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 105, 167, 235, 309, 389?\nAnswer: 475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3*g = -617, -2*g - 182 - 189 = 3*t. Let b = 310 + t. Let p = b - 135. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10005.65659 to the nearest 10.\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmh when three letters picked without replacement from mhmmcmmmm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = -k + 3*o + 12, 3*k = -4*o + 36. Let u be (-1)\/(-8)*k\/9. Let j = -35 - -35. What is the nearest to j in u, -2, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i + 4. Let s = -162 - -161. Let h be c(s). Solve h = -0*o + 4*o + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77038813 - 13*u**2 + 77038813.\nAnswer: -13*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 387 = 2*w, -16*w + 19*w - 561 = -2*x. Let d(f) = 747*f - w*f - 186*f - 182*f - 183*f. Calculate d(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*s = -5847 + 3130 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*w, w = 2*w + 3*z. Suppose w = -0*o + 6*o. Which is the closest to 1? (a) o (b) 0.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2 + 11 - 6 - 11*m**2 + 4*m**2 - 51*m**2. Let z(f) = f**2. Determine o(z(h)).\nAnswer: -58*h**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-33)\/(u*u**(-4\/3)) assuming u is positive.\nAnswer: u**(-98\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/28)\/(-1))\/((-11)\/539*-329).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 291843599 less than or equal to 291843598?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 882 and 2304.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 3. Suppose x - 19 = -q, -94 + 29 = -3*x - i*q. Suppose -3*b + x = 2*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -8*o**5 + 2860*o**4 + 24732*o**3 + 57032*o**2 + 23504*o - 29280 = 0.\nAnswer: -5, -2, 1\/2, 366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2562*i**3 + i**2 + i - 3. Is z(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7162 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -6 in descending order.\nAnswer: 5, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -6.628.\nAnswer: -2.372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.49 (b) 12\/7 (c) -31059\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14878 times 255?\nAnswer: -3793890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.04 (b) -0.5 (c) 1\/5 (d) -0.19 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -26. Which is the nearest to 0? (a) 0 (b) o (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156823?\nAnswer: 156823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1390*d*f**2*s + 6*d*f*s**3 - 523*d*s**3 - d*s**2 + 13*d + 7535*f**2*s**3 + 2*s wrt f?\nAnswer: 2780*d*s + 15070*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-78)\/(-18)*((-630)\/6)\/7)\/(50\/(-40))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000058132628 to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.7861 years to millennia.\nAnswer: 0.0637861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**2 - 2*j - 2. Let i be l(-1). Let u(b) = -2*b**2 + 1. Let y(z) = 166*z**2 - z + 12. Let s(m) = -2*u(m) + y(m). Is s(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19469*f**2 - 19468*f**2 + 58405*f**2 - 19461*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -3762\/17 and 3525 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.96 - 2. Let m be ((-32)\/(-5))\/((-4)\/(-10) - 0). Let z be 7\/(28\/m) - 6. Sort z, -5, v in increasing order.\nAnswer: -5, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 78 = 1979*c - 1982*c, c = -b - 78 for b.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25261 = -180*j + 21481 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*l + 74 = 1908 + 173 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.8 - 4. Let v = d + 1. Let b be (-10)\/(-6) + 2\/6. Is b < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 20. Which is the closest to -1? (a) 2\/3 (b) 0.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d - 20. Let c be r(6). Suppose -c*x - 10 = 6*x. Which is greater: x or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*g + 12, -2*g + g + d = -6. Let x be (-1164)\/(-630) - (g - (-5)\/(-1)). Let q = x - 12\/7. Calculate the common denominator of 107\/18 and q.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3303706027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 804056.8.\nAnswer: -804056.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5584 + -248. Suppose -3*z = 2*d + 12674 + r, 5*z - 4*d = -29980. Round z to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k**2 - 292*k - 142. Give c(59).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 2*(-2)\/12. Let x = -9 - -8.93. Let v = 0.57 + x. Which is the biggest value? (a) v (b) 0 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7518 and 2007843.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -829612*m**2 + 8*m - 31703 wrt m.\nAnswer: -1659224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -113, -316, -685, -1274?\nAnswer: -2137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 10 + 2 = 0. Let l = u - 6. Let z = l - -3. Which is greater: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - z + 6. Let f be k(0). Suppose -2*g = -f*g + 16. Let n = -5 + 4.6. What is the second biggest value in 3, g, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c - 12. Let t(d) = 1. Let j(k) = -10*t(k) - u(k). Let r(v) = -1. Suppose -724 + 257 = 636*h + 75 + 1366. Give h*j(a) - 6*r(a).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22)\/77 + (-12)\/7. Let g(w) = 13*w - 1. Suppose 26 = 5*t + 6. Let d(a) = -14*a + 2. Let i(p) = t*g(p) + 3*d(p). Give i(u).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 266*g**2 + 2*g + 5. Let t(f) = -f**2 - f - 1. Let s(p) = n(p) + 3*t(p). Let m = -39 + 40. Does 12 divide s(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.8, -0.3, 0.5, -1 in ascending order.\nAnswer: -1, -0.3, 0.5, 2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 3*u + 442 - 466 = 0, -5*b = 5*u + 70 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/6*(-6)\/8*10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**15\/y*y*y**(6\/13)\/y*y*y**11\/y**1)**34 assuming y is positive.\nAnswer: y**(11254\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -100120002102 (base 3) in base 4?\nAnswer: -231323303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -10. Let o = 131 + -57. Let x = o + -593\/8. What is the third smallest value in -3, v, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -5*c**5\/2 + 75*c**4 - 210*c**3 + 205*c**2 - 135*c\/2 = 0.\nAnswer: 0, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7227 + -7226.972. Sort -4, 0.1, q in descending order.\nAnswer: 0.1, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + 3. Suppose -3*k = -k - t. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**2 - u - 3. Let q be a(3). Let x = 200 + -53. Calculate the highest common factor of q and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1572724770.\nAnswer: 2, 3, 5, 52424159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(40\/75)\/((-2376)\/3300)?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 651 - 660. Which is smaller: 4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-140)\/(-56)*8\/10*2. Differentiate -1 + 89*r + 15 - 6 + n wrt r.\nAnswer: 89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -222 and 21 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -62*y + 66*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b - 15. Let y be x(6). Solve a - 12 = 3*p, y*p - 4*p + 2*a - 9 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 greater than or equal to 7050546.58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 473686, 473614, 473420, 473044, 472426?\nAnswer: 471506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 24 = 506. Calculate the remainder when c is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8769 and 0.0105.\nAnswer: 92.0745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {c: 6, o: 7, q: 6}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(40*n - 20*n + 36*n) - 2*n + 4*n + 0*n.\nAnswer: 114*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 436*-0.0004\nAnswer: -0.1744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -9. Let h = y + 0. Let o = h - 8.32. What is o rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 230 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5353?\nAnswer: 53, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 18 = 2*m, 656*m - 655*m = -s - 9 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 304 = 4*q, -2*t + 3*q = -4*t + 132. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 11*p**2 - 12*p + 7. Let n be o(-12). Suppose -3*d = -n*d. Solve 2*k + k = d for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.285 and 1673?\nAnswer: 1673.285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14107 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + 0\/(10\/5). Let l(j) = -48*j - 10. Let k be l(i). Let c = -64 - k. Is 18 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3470 or 3472?\nAnswer: 3470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 3*g**2 - 2. Let i(b) = 2*b**3 - 5*b**2 + b - 4. Let u(m) = -2*i(m) + 5*r(m). What is u(3)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ckk when three letters picked without replacement from ccckckcccckckkkk.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*5\/2*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 91f692 (base 16) in base 11?\nAnswer: 5443a60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -1, 1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, j: 3, p: 1, l: 9}. Give prob of sequence jmp.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwp when three letters picked without replacement from cccgvwp?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**3\/3 + 4*c**2\/3 - 8*c = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 0*j**5 + 0*j + 65\/6*j**6 + 0*j**2 + 68\/3*j**3 + 0*j**4 + 101. Find the third derivative of u(a) wrt a.\nAnswer: 3900*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 2?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, e: 9}. Give prob of sequence ee.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 5 = 5*c - 4*m, -5*m - 5 = -5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, r: 17}. What is prob of sequence ggrg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 41 and 43 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.58? (a) -2\/11 (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6030 + 26711. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3674318 is divided by 141.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 55*d**5 + 1590*d**4 + 13550*d**3 + 43800*d**2 + 46395*d - 4590 = 0. What is d?\nAnswer: -17, -6, -3, 1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 48\/(-40) - (-12)\/10. Solve i - 5*b + o*b + 23 = 0, 2*i + 21 = 5*b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 64278481.\nAnswer: 5\/64278481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 + -0.6. Let q = 255021 + -3823187\/15. Let h = 142 - q. What is the fourth smallest value in -2\/9, p, h, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-6)*-1)\/((71680\/192)\/80)\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5155 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4*5*sqrt(637)*-2 + (sqrt(637) + 0 + -1 - 4*(-1 + sqrt(637)))**2)*-6.\nAnswer: -34440 - 924*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -49*a + 161. Let r be t(3). Let s be 8\/(-7*r\/(-7007)). Calculate the highest common factor of 52 and s.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24561274 - -3?\nAnswer: -24561271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 14. Let i be m(-2). Let x(v) = 0*v + 7*v - i*v. Let l(w) = 2*w**2. What is l(x(j))?\nAnswer: 50*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25 and -66299?\nAnswer: -1657475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -10*n - 14. Let g(y) = -2*y - 3. Let j be -39 - (-2 + 2 + -2). Let t = j - -67. Suppose s + 4*x - 8 = -t, 8 = -s + 3*x. What is s*g(r) + 3*z(r)?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3 - 2334\/4)*8\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*q = 0, -2*r + 2*q + 20 = 6. Suppose 13 - 3 = r*f + 4*y, 2*y = -3*f + 20. Solve f*j = 5*j - 5*z, 0 = j + 3*z + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 102165.\nAnswer: 408660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 265*w**2 - 82*w\/3 - 3.\nAnswer: (15*w + 1)*(53*w - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.3 - 10. Sort 3, k, -2\/15 in ascending order.\nAnswer: -2\/15, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/12738 and 49\/14140338.\nAnswer: 155543718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y + 0*y - y)*(-3 - 2 + 4)*(0*y - 5*y - 27*y) to the form k + a*y**2 + f*y and give a.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -16*l - 6. Determine i(-5).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -1142*u**2 + 5*u + 2. Let p(x) = -4586*x**2 + 21*x + 9. Calculate 2*p(y) - 9*r(y).\nAnswer: 1106*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*p**2 - 3*p**2 + 19*p**2 + 16*p**2 in the form w + x*p**2 + o*p and give x.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 + -3 - -10 - (-37 + 39)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 0.03, -1, 1 in descending order.\nAnswer: 20, 1, 0.03, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a decade in months?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-5)\/(-78))\/5)\/(19*(-46)\/3496)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6628700?\nAnswer: 2, 5, 13, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6565 rounded to 2 dps?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 12:53 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/2*w**2 + 1 + 7\/2*w.\nAnswer: (w + 1)*(5*w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from hhqh?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**5 + 6*q - 14 + 16 - 6*q**4 - 4*q**3 + 4*q**2 + 3*q**5.\nAnswer: -2*(q - 1)*(q + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**3 - 19*n**2 - 23*n + 14. Let c be f(-8). Factor 1\/2*q**2 - c*q + 18.\nAnswer: (q - 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1560 divided by -6?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1164 divided by 257?\nAnswer: -1164\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 119515930 rounded to the nearest 10000?\nAnswer: 119520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 8:07 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1213 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 558015.3mm to meters.\nAnswer: 558.0153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - ((1 + 4)\/5 - 12). What is the highest common divisor of k and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25\/46 + 1\/23. Let w = 0.3 + 0. Let k = 0.8 - w. What is the nearest to 1 in k, 3\/5, u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 140434 or 140391?\nAnswer: 140391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 5 (b) -0.2 (c) 25 (d) -653\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1079245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 343720 and 211520.\nAnswer: 2749760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/10)\/1*-2*(-108)\/(-243)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*z = 620. Let n be z\/16 - 3 - 3. Factor -n*h**3 - 1\/2 - 11\/4*h - 4*h**2.\nAnswer: -(h + 1)**2*(7*h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/4 and 242\/50*(-20)\/8.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -295034375470 and 1.055.\nAnswer: -295034375468.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 9*b**3 - 3*b**2 - 7*b + 5. Let z = -9077 - -9061. Let p(v) = 8*v - 28*v**3 - 6*v**2 + 14*v + 16*v**2 - 16. Calculate z*q(x) - 5*p(x).\nAnswer: -4*x**3 - 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2454 + 2468 - 3*g**2 - 5*g + 2*g**2. Calculate h(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 11*q**2 - 5*q + 6. Let d be f(11). Let c = -35 - d. Calculate the lowest common multiple of 14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1144875*q**2 - 4386673.\nAnswer: -2289750*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -115*u**3 - 5*u**2 + 5*u + 2. Let g(k) = 58*k**3 + 2*k**2 - 2*k - 1. Calculate -10*g(i) - 4*t(i).\nAnswer: -120*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2 = -2*i + 4, 8 = -5*i - 4*j. Let d be (-1 + i)\/((-5)\/45). Solve 5*t - 2*t + d = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 116 + -100. Let k(z) = -z**2 + 24*z + 26. Does 13 divide k(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**3 + 12*v**2 + 2*v - 37. Let y be w(-5). Let n = -2 - 1. Let j = n - -2.5. Which is the biggest value? (a) y (b) j (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**5\/7 + 47*o**4\/7 + 144*o**3 = 0.\nAnswer: -16, 0, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -316132, -316114, -316098, -316084?\nAnswer: -316072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 5*b - 2. Let s be m(6). Suppose 0*l + s = 2*l. Let i be 1\/(-9)*2 + ((-1038)\/(-54) - 5). Calculate the greatest common factor of l and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 10, 61, 164, 337, 598?\nAnswer: 965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 0.4\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 4*f + 19*f)*(-2*f**2 + f**2 + 7*f**2).\nAnswer: 96*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 12:59 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31401169?\nAnswer: 73, 443, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w - 5*w**2 + 7*w)*(-5 + 12 + 4*w**2 - 5*w**2).\nAnswer: 5*w**4 - 35*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*c + 484, -3*c = l + 117 - 480. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by -184584?\nAnswer: 7\/61528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 3:30 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -328528 plus -72?\nAnswer: -328600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1539020 times -1?\nAnswer: -1539020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22 + j - 22)*(-447*j**3 - 226*j**3 - 350*j**3) to c*j**3 + b + h*j**2 + l*j**4 + z*j and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66607071994811\/15463 + 4307512897. Let a = 3\/2209 + y. Find the common denominator of a and 2 - (-3 - 2\/(-1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-2\/9))**(-34))**43)**25 assuming a is positive.\nAnswer: a**(-255850\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 12*k + 5. Let w(y) = 6*y - 15125 + 7566 + 7561. Give -5*w(c) + 2*z(c).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-279)\/36)\/(2\/(-2)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 75.60131 centimeters?\nAnswer: 0.7560131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-3) + (-10)\/(-6). Solve g*a + 8 = 6*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59 - 23. Let b be (k\/297)\/((-1)\/3). Is b greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75286*w = 75160*w - 3150 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven quarters of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c1 - 94bd?\nAnswer: -968e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -59804 + -534?\nAnswer: -60338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-33 - (68 - 72)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 m when three letters picked without replacement from {m: 2, l: 8}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -79, 12 in ascending order.\nAnswer: -79, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.231 (b) -0.1 (c) 10\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 10*h**2. Let f(d) = 702*d + 2. What is f(x(w))?\nAnswer: 7020*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00056107 rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*p - 2*f - 23 = 0, -2*p = f - 6. Let w(t) = -p + 9*t - 4*t - t**2 + 1. Give w(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16618531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(-2 + 3 + 2)*(-9*s - 38 - 18*s + 40 + 37).\nAnswer: -162*s + 234","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**2 + 36*k + 1. Let h be y(12). Which is the nearest to 8? (a) -0.5 (b) h (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, n: 1, q: 4, s: 2}. Give prob of sequence cn.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + 34 - (-4 - (-5 + 12)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -i**6\/120 - i**5\/60 - i**4\/24 + i**3\/3 + i**2 + i. Let o(w) be the first derivative of q(w). Let c be 2*3\/3 - 4. Give o(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + i = 0, 25*b - 20*b + 5*i = 0. Solve -t - 1 = 0, g - 1 = 4*t - b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/12*8\/20?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/9027 and -7\/171?\nAnswer: 171513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -12*b + 18. Let c(p) = p**2 + 24*p - 36. Let x(k) = -2*c(k) - 5*j(k). Determine u, given that x(u) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 k, and 1 i when four letters picked without replacement from {i: 1, j: 6, q: 1, z: 2, k: 7}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 112.919 + -113. Let r = 3.381 + o. Let a = r + -3.03. Round a to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263483 - 98016 - 185146 = -5035*v + 27345 for v.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000009985395 rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 12.6, 2, -3\/2, -3\/5 in descending order.\nAnswer: 12.6, 2, -3\/5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*i**3 - 12483885*i - 3149098?\nAnswer: 12*i**2 - 12483885","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**6\/630 - j**5\/210 - j**4\/7 - 2*j**3\/3 - 25*j**2. Let d(n) be the first derivative of w(n). Find r, given that d(r) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4697 rounded to 2 decimal places?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 7*y + 906. Let v be y\/42*9\/(-4). Solve -3\/5*p**2 - v*p - 15 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 391886880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s**3 + 2*s**2 + 6*s - 2. Let a(i) = i**3 + i + 1. Let x(b) = 2*a(b) + d(b). Factor x(j).\nAnswer: -j*(j - 4)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -272*g - 275*g - 13 + 546*g. Let c be k(-53). Solve -4*l - c = -l + 5*j, -l + j = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*d = -72*d - 212. Let s be 10\/55 - d\/(-22). Solve 0*t + 2*t = 4, -s*h = -3*t - 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 5*s**2 - 5*s - 8. Let v be g(6). Let m = -408 + 410. Which is the smallest value? (a) m (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 43*s**2 - s. Let o be k(2). Is 25 a factor of o + 15\/3 + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -1. Let j(z) = -4*z - z + 3*z + 4. Give j(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 34 - 9)*(-723*p - 483*p - 12 + 11 + 211*p + 1) to g*p + a and give g.\nAnswer: 38805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65229?\nAnswer: 3, 17, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.056552 + -70.182552. Let z = g - -0.126. Let f = -70.2 - z. Put f, 0.08, -5 in descending order.\nAnswer: 0.08, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63671*p**4 + 55*p**2 - 14*p**2 + 3838*p + 63666*p**4 + 93*p**2 wrt p?\nAnswer: -60*p**2 + 268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(((m*(m\/(m**(-7\/3)*m))\/m)\/m)\/m))**(4\/7) assuming m is positive.\nAnswer: m**(8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/14 - 50\/(-7). Suppose c*h - 40 = 2*h. What is the second derivative of 23*y - h*y - y**2 - 4*y + 5*y**2 wrt y?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -72 - (0 + -1 + 3). Let o = a - -339. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -8*m**2 - 232*m + 816. Let l(z) = z**2 + z. Let p(n) = -12*l(n) - r(n). Factor p(b).\nAnswer: -4*(b - 51)*(b - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4071, -11\/5, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -267762.201268?\nAnswer: -267758.201268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14004 + -5139443\/367. Is h greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/7 - 349*v**2\/7 - 14345*v\/7 - 139707\/7.\nAnswer: (v - 387)*(v + 19)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -27, -26, -25, -24?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from duijfuc. What is prob of picking 1 f and 1 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14.89 - -0.11. Let u = s + -10. What is the nearest to 3 in 0.4, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -353*d**2 - 71*d**2 - 45*d**2.\nAnswer: -469*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/76*(-5)\/((-15)\/318)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28476, 56955, 85436, 113919?\nAnswer: 142404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -152056*s**5 - 1030*s - 13 wrt s.\nAnswer: -3041120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -240.443 rounded to 1 decimal place?\nAnswer: -240.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (170\/(-14) - -11).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 divided by 1?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2299)*-1 + -4)**2*-2*-2.\nAnswer: -352*sqrt(19) + 9260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**6\/20 + l**3\/2 + l**2. Find the first derivative of x(r) wrt r.\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15299 - -16797. Calculate the smallest common multiple of 107 and c.\nAnswer: 1498","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4790388 divided by 28.\nAnswer: -1197597\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 2 (c) 0.13 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/8)\/(4\/8). Sort 1\/4, 0.2, h in descending order.\nAnswer: 1\/4, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10140.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5267?\nAnswer: 23, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1 - 8) + 10)*(-3)\/(-5). Sort 0.04, 0.2, j, 4\/9 in decreasing order.\nAnswer: j, 4\/9, 0.2, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29777657 + -1?\nAnswer: 29777656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q. Let l be (21\/(-14))\/(3\/(-8)) - 2. Let d(b) = -4*b + 1. Determine l*t(o) - d(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -243\/5, -10, 1\/6, 2\/3, 0.2, 3 in descending order.\nAnswer: 3, 2\/3, 0.2, 1\/6, -10, -243\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s. Let l be w(1). Let o = l + 6. Suppose -o*u + 30 = v, 47 = -u + 5*u - v. Calculate the greatest common factor of 88 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2820 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.3365895 to three dps.\nAnswer: 3.337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 16) in base 11?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14784 is divided by 315.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 5*m**2 - 5*m - 11. Calculate j(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/236 and 53\/1145340.\nAnswer: 67575060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - o)*(4*o**2 + 6*o**2 - 3*o**2)*(-o**2 - o**2 + 0*o**2).\nAnswer: 14*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-seven halves of a microgram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 198 times -4\nAnswer: -792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 2*b**5\/25 - 2*b**3\/5 - 2*b**2\/5 + 4. Factor w(y).\nAnswer: 2*y*(y - 2)*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 + 84. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 5*c, -5*y - 13*c - 5*c = -19*c - 23 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4687556825.\nAnswer: 5, 7, 37, 103421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 427796379?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 - 11a085a?\nAnswer: -11a0852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/5 - 1394294*x\/5 + 278859.\nAnswer: -(x - 1)*(x + 1394295)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15811263 is divided by 68447?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1358\/(-42) + 2\/6. Let q = l + 37. Suppose 0*z + 340 = 4*c + z, q*c - 4*z - 404 = 0. Is c a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9841 + 9869 - 49281 + 9859 + 9858 + 9854 + 2*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13126*y**3 + 5*y**2 - y - 396051.\nAnswer: -39378*y**2 + 10*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/((sqrt(60)\/sqrt(2))\/sqrt(5)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 432, 623, 798, 951, 1076, 1167, 1218?\nAnswer: 1223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 9:09 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*z + 335. Let s(a) = 5*a**3 + 1. Let t be s(1). Suppose 68 = 4*o + 4*m, -t*m = -4*o - 3*m + 96. Calculate the greatest common factor of o and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2 + (-17 + 0 - -15 - 11).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -8587, 4, -1517.2 in ascending order.\nAnswer: -8587, -1517.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 1 - 1)*(-1 + 1 - 1) + 3*f - 4*f + 0*f + (f + f - 4*f)*(2 - 1 + 1) + f - 4*f + f - f - f + 4*f + (5 - 3 + 0)*(-11 + 11 - 3*f).\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + 0.2. Suppose 99*n - 11343 = -100*n. Which is the second smallest value? (a) n (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 10*q - 14. Let c be k(-8). Solve 4*m = 4*x + 28, c*x - 3*m = -2*m - 9 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*1\/(85\/(-15) + 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 7 = i, -5*i - 2*t = -10*i - 1. Let j be (i\/(-2))\/((-2)\/8). Let w = -1.1 - -0.1. Is w <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 95 - -93. Suppose 5*q + a - 483 = 0, -q - f = -3*q - 3*a. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/4 of a day?\nAnswer: 7560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 4*m = -16, -2*k + 3*m - 23 + 6 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 4*u - 1. Let r be z(-6). Suppose -4*o - c + 33 = 0, -c - r = 2*o - 6*c. Calculate the greatest common divisor of o and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22.07 + -0.47. What is t rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u - 574. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 + -4 + (-27 - -70 - 41)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 1\/16709503?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 535?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1107*p + 1116*p - 27 = 0. Solve 3*a + 10 = t, p*a - t - 5 = 3*t for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 0.20224?\nAnswer: 0.79776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/18 and 23\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hffh when four letters picked without replacement from ghggfhggfgggggghfgg?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2226 and 6246633?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -652123*z**4 - 2*z**2 + 4872*z + 43?\nAnswer: -7825476*z**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 83 = -5*f, -f - 4*p + 17 + 6 = 0. Suppose -2*a = f + 7. Let c(q) = q**2 + 10*q. Let l be c(a). What is the greatest common factor of l and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16741139 a multiple of 520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0, 1, 0.4, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*p - 2*p + 11*p + p**2 + 293*p**3 + p in the form r*p**3 + x*p + z + n*p**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 87*y**4\/4 - 219*y**3\/4 + 33*y**2 = 0.\nAnswer: 0, 1, 44\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65 - -90. Is 19 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(1*4*sqrt(3) - sqrt(3)).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 + 4*w**3 - 2*w**2 - 4*w.\nAnswer: 2*w*(w - 1)*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/9 (b) -4\/7 (c) -1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -26) + -40 + -41.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((-1 + sqrt(1053))*1 + (2 + sqrt(1053))*1)**2 + 4).\nAnswer: -25302 - 216*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -4 (c) 384307\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - 14 - -1*(-1)\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + 11. Suppose -2*g + y = 17, -3*y + 35 = -2*g - 8*y. Let a = l + g. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 1. Let l(a) = 72*a**2 - 7. Give 6*l(b) + 42*z(b).\nAnswer: 432*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 788102595 - 1839431510921\/2334. Let y = g - -20\/389. Let p = -48783\/20 - -9717\/4. What is the common denominator of p and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19974?\nAnswer: 2, 3, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 202240*s**6 + 278*s**5 - 2*s**2 - 7292*s - 640.\nAnswer: 24268800*s**3 + 16680*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 151931.22 months in millennia?\nAnswer: 12.660935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.103 + 7.897. What is the nearest to 0.01 in 3, 4, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40894\/(-889))\/((-3036)\/312)?\nAnswer: 52\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -32*x**3 + 3*x**2 - 13*x - 41. Is f(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 432480 and 36930.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -3*u**4 - 96*u**3 - 753*u**2 - 660*u = 0.\nAnswer: -20, -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a - 11*a + 76. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiffqefbzzfizibzzb. What is prob of sequence izz?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-3 + 2 - 1)*(3 - 10 + 3 + (2 - 5 + 2)*(1 - 1 - 2) - 2 - 1 + 2)*(-4*l**5 + l**5 + l**5).\nAnswer: 12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of 6*d**5\/5 - 7*d**3\/2 + 40*d. What is the second derivative of g(w) wrt w?\nAnswer: 144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2283*c**4 + 266*c**2 + 3682567 wrt c?\nAnswer: -9132*c**3 + 532*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - d. Let u be q(3). Suppose 0*w - u = -2*w. Suppose -w*r + 3*g = -117, -81 = -0*r - 2*r + g. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1128468447?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(275) - sqrt(66)\/(sqrt(24) - sqrt(6)) - (0 + sqrt(1331)*5))**2.\nAnswer: 40931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-349932)\/(72\/(-6)) + 18 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-2 + 8 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3, 10, 29, 54?\n\"Answer: 3*s**2 + 4*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = 3*d + 3*k - 136, -4*k + 174 = 2*d. List the prime factors of d.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7270750 and 6858.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**6\/60 + k**5 - 133*k**4\/8 - 10*k**3\/3 + 100*k**2 + 3*k + 112. Let s(d) = 0. Calculate d.\nAnswer: -1, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {f: 2, y: 2, k: 2, v: 3, d: 4, o: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-14)\/357*474\/(-8) and (-1)\/4 + (-69)\/24.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1950156667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1 = 0, 0 = 4*j + 2*h - 6*h + 4. Let b be 0 - (-8)\/68 - 600\/(-102). What is the units digit of (-5 + b)*(j\/2 - -47)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371051585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5 + (sqrt(1539) + -1)**2 - sqrt(1539)) + 4 + (sqrt(1539) + 2 + -2 - (sqrt(1539) + -1)*3).\nAnswer: -45*sqrt(19) + 1547","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42356198*r**3 - 20*r**2 - 66396*r + 3 wrt r.\nAnswer: 254137188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -13*g**5 - 6*g + 10. Differentiate m(j) wrt j.\nAnswer: -260*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-9)\/(-38)) - 26\/(-117). Let l be ((-1)\/2)\/(g*6\/(-48)). What is the closest to 0 in l, -4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 365558831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1714 + 1737. Solve q*i - 3 = 22*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rex when three letters picked without replacement from xwxeexrexwr?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 708572 is divided by 50610?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 39*p**2 + 19*p + 102. What are the prime factors of o(-10)?\nAnswer: 2, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*q + 337 = 181 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - 17100. Let o be (-2)\/(-6) + 2\/(-6). Let c be v(o). What is c rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 10, 1, -10, -23, -38, -55?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-98)\/7056*-48*93\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(10) - (sqrt(10) + sqrt(640)*1)) + (1*sqrt(176) + sqrt(176) + -2)**2.\nAnswer: -257*sqrt(11)\/8 + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1335 + 2.\nAnswer: -1333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*o - 3, -2*o = -0*w + 2*w - 44. Solve -w*i = -19*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -1 + 8*n + 10*n - 5*n - n. Let f(d) = -d. Let a(t) = -6*f(t) + r(t). What is a(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = -14*l + 25. Suppose 14 = 4*j + l*i, -2 = -j - i - i. Which is bigger: 10 or j?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 16996 = -27*n. Let i = n + 452. Are i and -154 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1*n*n)**(-8\/11)*n\/(n\/(n*n**(1\/6)))*n*n**(2\/15))**(1\/2) assuming n is positive.\nAnswer: n**(13\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.33*-12709.\nAnswer: 4193.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a - 76. Let w be y(-19). Suppose -226 = -5*l + 2*f, -4*l + w*f + 167 = 3*f. What is the remainder when 170 is divided by l?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121 + 114*q + 121 + 72*q.\nAnswer: 186*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 43*d - 3*d = -2019 - 1348 for d.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/111 + 13\/37. Which is the second biggest value? (a) g (b) -1\/4 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -96*q**2 - 1 + 96*q**2 + q - 2*q**4 - 5*q**3 in the form j*q**3 + v*q + y*q**2 + b + s*q**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**5*u))**15)**(-5) assuming u is positive.\nAnswer: u**450","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + f + 1. Let j be i(-4). Let m = j + 27. Solve 0 = t + m - 3 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -5.6. Let b = 1.97 + -0.86. Let l = b - 4.11. Sort 4, -1\/7, q, l in descending order.\nAnswer: 4, q, -1\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1020 - 152. Suppose -5*r = -r - 16, -4*u + 4*r = -o. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 304, 316, 318, 304, 268, 204, 106?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 53\/64281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.89 + -6.1408. Let b = -15 + 14.75. Let i = b - l. What is i rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -174*j**2 - 345 + 820*j**2 + 210*j**2 + j wrt j?\nAnswer: 1712","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67839714?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 64 (b) -1\/70186 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ts when two letters picked without replacement from {t: 1, s: 18}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-942)\/(-18) + 1 - 4\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/1249041?\nAnswer: 2\/1249041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8\/7 (b) 2 (c) 1\/17 (d) -39\/5 (e) 0.5 (f) -0.05 (g) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 1.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8 and 6887.7646.\nAnswer: 6895.7646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 91931.85 years in months?\nAnswer: 1103182.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0214 + -0.0614. Which is the third smallest value? (a) -2\/5 (b) h (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5490.074 decades to millennia.\nAnswer: 54.90074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u + 6. Let i(o) = -23 + 22 + 5*o - 4*o. Give b(n) + 6*i(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 381, 2381, 1 in ascending order.\nAnswer: 1, 381, 2381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -45 + -10?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123, 245, 367?\nAnswer: 489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -4.2 (c) -0.02 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 2*n + 10 + 2*n + 4*n**2. Let m = -93 - -90. Let y(a) = 4*a**2 + 4*a + 11. Let x(i) = m*y(i) + 4*h(i). Differentiate x(p) wrt p.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7 + -2)*8\/20. Let w(s) = 9*s**c - 2*s - 2 + 3 + s. List the prime factors of w(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11420 (base 7) in base 3?\nAnswer: -11001102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (6 - (-2 - -5))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34557.3 + 34557. Which is the fourth smallest value? (a) -0.1 (b) -350 (c) t (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/960 and 107\/352?\nAnswer: 10560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence od when two letters picked without replacement from docddddcccdcodocco.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3 = 0, p - 3*s = -2*s + 1. Suppose -5*i + v - 5 = 0, p*i - 5*v + 2*v = -15. Let u = 70 + -60. Solve 2 = 4*m - i*m - 2*j, u = -m + 4*j for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1472, 6108, 13842, 24680, 38628, 55692, 75878, 99192?\nAnswer: 125640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2957624*y. Let p(q) = 4*q**2. Determine p(t(u)).\nAnswer: 34990158901504*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 5, -7*d = -2*i - 10*d - 257. Sort 1, i, -5.\nAnswer: i, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 - 55*o + 18760.\nAnswer: -5*(o - 56)*(o + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 25*d - 56. Let b be r(3). Suppose 0 = -b*h + 25*h - 2268. Calculate the remainder when h is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 2. Let m = -3.11 + 0.11. Let y = m + 4. Which is the closest to y? (a) o (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*14*35\/4410?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -154 in 4, 0.06, 1\/3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j - j**2 + 6*j + 8*j. Let z be b(9). Suppose z*a = -a + 53. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4485\/8 and -1\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 115650.7466 to the nearest 100.\nAnswer: 115700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 p when three letters picked without replacement from {p: 1, g: 1, c: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -3115363.8 to the nearest one thousand.\nAnswer: -3115000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -9*i**2 - 2*i - 4. Let q(k) = -10*k**2 - 3*k - 5. Determine 4*q(p) - 5*v(p).\nAnswer: 5*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-10 + -74)\/(-42) - 2\/((-2)\/359) is divided by 61?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/32 and 85\/124?\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*p**2 - 5*p**2 + p**2)*(2 - 5 + 1)*(2*p - p + 0*p) in the form x + v*p**3 + f*p**2 + m*p and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.0864861229715+-46.3\nAnswer: -46.2135138770285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.026274 rounded to 4 dps?\nAnswer: -0.0263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 395 + -413. Is (q\/12*(-121256)\/12)\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-10)\/c)\/c)**12\/(c*c\/c**8)**(-33) assuming c is positive.\nAnswer: c**(-342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 2*b + 4*b. Let w(v) = -v**3 + 4*v**2 + 5*v + 2. Let t be w(5). Let c(f) = 2*f**2 - 5*f**2 + 4*f**2 - t*f**2. What is x(c(a))?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 256.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 12:58 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -10. Let n(c) = c**2 + 3*c + 2. Let k be n(r). Suppose 5*l + 2*f - 720 = l, -l - 5*f = -180. What is the highest common factor of l and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110.4 + -0.07.\nAnswer: -110.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.68 + 0.32. Let g be 96\/42 - 4\/14 - -13. Let r be (-1 + 65\/g)*6\/35. Which is the closest to d? (a) r (b) -1\/4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.078 - 60.4281.\nAnswer: -60.3501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7438 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13, 27, 41?\n\"Answer: 14*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2676.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 10*c + 8. Let d = 231 - 242. What is o(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(sqrt(10) - sqrt(160)) + sqrt(117) + -1 - ((-2*sqrt(468))**2 + sqrt(52)\/sqrt(4) + 5).\nAnswer: -1878 + 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5+-0.1977\nAnswer: 4.8023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (-4)\/(-2) + 1428\/2. Suppose 161*v = 156*v + l. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p**3 - 9*p + 2. Let z(v) = v**3 + v**2 - v. Let w(y) = -x(y) + 4*z(y). Let o be w(5). Suppose -5*m + 2*m + 20 = -4*h, 16 = 2*h + 5*m. Is o >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 9*d - 18. Let o be t(-4). Suppose -o = -13*c + 70. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s\/s**(-42)*s)\/s))\/s*s\/(s\/(s*s**3)))\/((s\/(s\/(s*s**21*s)*s))\/(s*s*s**(4\/13))))**(-9\/2) assuming s is positive.\nAnswer: s**(6867\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5300 by -4.\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4)*-2 - -13. Let p = 14 - f. Suppose 4*l - 2916 = -4*j, -5*l + 0*j = -p*j - 3631. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 12*k**2 + 13*k - 17. Let v(w) = -w**2 - 10*w + 67. Let b be v(-14). Determine z(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -30, 58, 4, 0.3, 15\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + -8)\/(1*-1). Let s be (o - 3 - 2)\/1. Let t(w) = -w**2. Let q be t(s). Solve q = 3*a - 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y**2. Let f(l) be the first derivative of l**3\/3 + 1. What is f(i(n))?\nAnswer: 25*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11297, 11536, 11777, 12020, 12265?\nAnswer: 12512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hlw when three letters picked without replacement from ljlljlwjhl.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2. Suppose -a + 2*a - 3*d + 6 = 0, 4 = -2*a + 4*d. Suppose -27*z + a*z + 105 = 0. Let k(g) = -g**2. Determine z*p(u) + 8*k(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 620*-61\nAnswer: -37820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 3:36 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1171 + -2607. Let q = 1435.9999403 + r. Round q to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -851946.2 rounded to the nearest one hundred?\nAnswer: -851900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -208?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4323*z - 4067*z - 1280 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104 - -144. Suppose -8*k - 2*k = -z. Suppose -3*i - k*i = -21. Solve t - 5*t + 36 = -4*r, -i*t - 8 = 4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 393.123 decades?\nAnswer: 3.93123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3, -38, -81, -126, -173, -222, -273?\n\"Answer: -f**2 - 38*f + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 11. Let p be t(13). Let f = -23 + p. Is (f - 3949\/(-5)) + (-17)\/(-85) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/5244 and 73\/12834.\nAnswer: 487692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-642)\/(-2568))\/(2\/48).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2178410 by -5.\nAnswer: -435682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -3*k**3\/5 - 75632*k**2\/5 + 176497*k\/5 + 151278\/5 = 0.\nAnswer: -25213, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6187 + 775 = -12*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9893 and 43377?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + -3 + 0 - (-5523 + 5504).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -21*i - 5. Let a(r) = -325*r - 78. Determine 5*a(h) - 78*d(h).\nAnswer: 13*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -3*f**5 + 5*f**4\/4 - 595*f - 2177. What is the first derivative of c(d) wrt d?\nAnswer: -60*d**3 + 15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-18)\/g*g*g**(-3) assuming g is positive.\nAnswer: g**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**4\/12 - 159*l**2 - l. Suppose f - 3*f = -42. Let g(c) = -26*c - f*c + 11*c. What is g(w(d))?\nAnswer: -72*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/2115 and 47\/8685?\nAnswer: 408195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.62547 minus 6.96?\nAnswer: -69.58547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 4:02 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - (-1 + -2 + 2) - (72 + -65).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 7. Let o be f(-7). Let s be o + (11 + -3 - 3). Let k(x) = -3*x + 2*x - s*x + 3*x. Let i(j) = 4*j. What is k(i(r))?\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 18*d - 42. What is j(13)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83 by 17704.\nAnswer: -83\/17704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63878593?\nAnswer: 47, 89, 15271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -679.4 + -1.6. Let d = 681 + n. Let f = 0.1 - 0.1. What is the nearest to f in 5, d, -2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j - 166 = 9*j + 122 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12*0.66\nAnswer: 7.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 14478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 - 5. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -137*h - 253. Let d(p) = 137*p + 255. Let y(w) = 2*d(w) + 3*x(w). Differentiate y(t) wrt t.\nAnswer: -137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + u - 1692 = 6*u, u = -2*b + 1128. Solve -b*k + 558*k - 30 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6)*(-36)\/32*-4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 12:45 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (2 - -5) + -1 - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -377*d - 389*d + 2*d**2 + 766*d - 90.\nAnswer: 2*d**2 - 90","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y - 6*y - 2 + 2 in the form u*y + k and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -202?\nAnswer: -1ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -91233 and 58.\nAnswer: -5291514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f = -19*f + 24. Solve 4*m - f*m = 3*j + 17, -j = 5*m + 24 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*a**3 - 4*a**2 + 91*a**3 + 253 - 132*a**3 - 52 as l + g*a + u*a**3 + w*a**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 447390?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 58 = -5*x, -82*x = -83*x - 168*p + 173*p + 17 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24208.33 micrometers in nanometers?\nAnswer: 24208330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a*m**3 + 2*a*m**2 + 1300*a*m - 4*a - 4113950*m**3 wrt a?\nAnswer: -m**3 + 2*m**2 + 1300*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -53 divided by 1887037\nAnswer: -53\/1887037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 282, 601, 1140, 1971, 3166, 4797, 6936?\nAnswer: 9655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.2 - -13.9. Which is the closest to 0? (a) w (b) -14 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 4*a + 5 = 0, 3*x + a - 10 = -4*a for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 480167136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 80\/42*(-11478)\/(-76520)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 274090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**3 - 12*s**2 - 4*s - 6. Let b be n(-6). Let o = 160\/9 - b. Find the common denominator of o and -16\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 1253*f**2 + 16*f + 30. List the prime factors of j(-2).\nAnswer: 2, 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 8:08 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -52*q - 7444. Calculate g(-143).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -14*i**3 - 5*i**2 - 80*i - 151. Give t(-2).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -3*z + 7*v + 159, 3*z - 36*v + 42*v = 150 for z.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 - (180 + -125 + 30).\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -63 (base 15) to base 10\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 - -17. Calculate the common denominator of (-14)\/a - 1538\/120 and -69\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*m - 5 = -110*m - 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r + 12. Let v(y) = -1. Let u(w) = -d(w) - 12*v(w). Let f(z) be the first derivative of -41*z**3\/3 + z**2 + 143. Give u(f(l)).\nAnswer: 82*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2306 + -2301. Let t be ((-162)\/(-4))\/(2\/4). Suppose 3*z - t = -3*o, 0 = -2*o + k*o + 5*z - 91. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112746993 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/8)\/(72 - (-11492)\/(-156))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**3 + 110*d**2 - 40*d - 111. What is i(-37)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-1)*(-6 + 7). What is the greatest common factor of o and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3777 divided by -18944\nAnswer: -3777\/18944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100\/75*(-4)\/((-144)\/(-81)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 162059*q - 92286 wrt q.\nAnswer: 162059","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5\/7 - 1406*h**4\/7 - 233124*h**3\/7 + 5011444*h**2\/7 + 10716646*h\/7 + 781926 = 0 for h.\nAnswer: -361, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 21*d**2 - 15*d + 675. Let t be g(21). What is the greatest common factor of t and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 0.28.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*m + r, 2 = -5*r + 3*r. Suppose -m*t - 3000 = -35*t. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -113 + 114. Suppose -2*z + 0*z = -14. What is the greatest common divisor of s and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 531 + -793?\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 2\/7, -0.004, -3?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 10) to base 12\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9599759 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7117219859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.2 (b) 15\/7 (c) 0.8 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*p**2 - 2)*(-6*p + 3*p - 2 + p + 12*p**2).\nAnswer: 24*p**4 - 4*p**3 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 141775970*h*q**2 + 7577*h + 49*q + 56 wrt q?\nAnswer: 283551940*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 7 + 18 - 13 - -8.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 + 2 - 2. Suppose 5*u = 3*u + 80. Let y(t) = 40 - u - 3*t. Give f(y(l)).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1943654 a multiple of 934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4091, 8228, 12367, 16508, 20651, 24796, 28943?\n\"Answer: t**2 + 4134*t - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.8 + -58.4.\nAnswer: -56.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 220620896?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -37*v + 37*v + 11 + v**3 + 5*v**2. Let g(n) = -n**3 + n**2 - n - 1. Let t(s) = -2*g(s) - w(s). Calculate t(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2860 + -6?\nAnswer: -2866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**2\/2 + 277*g - 553\/2 = 0.\nAnswer: 1, 553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 8:39 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1493*w**4 - w**2 + 51?\nAnswer: 35832*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 776 = -508. Suppose -2*m + 1070 = 5*y, -4*m - 299 + w = -y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - a - 3*a = -129, 2*w + 4*a = 86. Suppose w - 112 = -3*q. Solve 2*x = 2*t - 20, -3*x + t = q - 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 4\/(7 - 5). Let u(s) = 9*s + 9 - 10*s + w*s. Calculate u(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 11:48 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 8:13 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = i - 2. Let x(r) be the second derivative of r**4\/6 + r**3\/3 - r**2 - r. Let h(z) = -3*z**2 - 5*z + 5. Let f(d) = i*h(d) + 5*x(d). What is f(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c**4 + 6*c**3 + 81*c**2 - 54*c = 0.\nAnswer: -3, 0, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136 - 266 - 192082*q**3 + 130.\nAnswer: -192082*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187220642?\nAnswer: 2, 7, 19, 703837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k - 262*k**2 - 47*k**3 + 146*k**3 + 261*k**2 in the form n*k + g*k**3 + y + z*k**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 6*w**2 + 275*w + 2321. Calculate n(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 139281587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 11 + 31 = 0. Let q be 1*(-1)\/(-3)*15. Suppose -q*u + 0*u + 15 = 0. Solve -3*k = u*m, 0*m - t = -4*k + 3*m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 222, -1 in decreasing order.\nAnswer: 222, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 357.6 - -15254.4. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -521.1 + 486.1. Which is the third biggest value? (a) j (b) -1 (c) -2 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91916 divided by -45?\nAnswer: -91916\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*o**(2\/31)*o)\/o**(3\/2) assuming o is positive.\nAnswer: o**(159\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-26 + -1)\/(3\/3). Let k = -11 - n. Suppose 4 + k = 4*i. Let v(q) = q**2 - 6*q + 2. Determine v(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -112850 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 1, -8, -17?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34180048 is divided by 348776.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 + 4*j. Let l(f) be the first derivative of f**3\/3 - 3*f**2\/2 - 1342. Let t(h) = -h. Let b be t(-3). Calculate b*r(k) + 4*l(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 229.5 + -214.5. Sort -84, -2\/11, s in ascending order.\nAnswer: -84, -2\/11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/15, 384, 1\/7191, -28?\nAnswer: 384","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 395*i. Let f(a) = 42*a + 3. Calculate v(f(g)).\nAnswer: 16590*g + 1185","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 94.05092 nanograms?\nAnswer: 0.00009405092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 178899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 + 19 = -31*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 2)*(0*b + 4*b - 3*b)*(0*b**2 + b**2 + b**2) + 5676*b - 550*b**3 - 5676*b.\nAnswer: -554*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9567 is divided by 435?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + (5 - -35) + 1 + 29 - -8.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4\/15 + 196102*p**3\/15 + 961419470*p**2\/3 + 961380250*p\/3.\nAnswer: 2*p*(p + 1)*(p + 49025)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6022 * 1.8\nAnswer: -10839.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1999863733 to the power of 1\/4, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126651 is divided by 1111?\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 380 + 220 = 0. What is the remainder when 22 is divided by (-1)\/(n\/48 + 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((1*sqrt(931)*-1 + 3 + sqrt(931) + 1)*3)**2 - 5*(-1 + (0 + sqrt(931))**2*3)).\nAnswer: -13821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 652980 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -16*a + 4. Let g be r(-3). Suppose -5*f + 2*d - g = 0, -4*f - 5*d - 36 = -d. Let j = 20 + f. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j - 13. Suppose -4*u - 12 = -0*u. Let m = u + 12. Is a(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -8*h**2 + 14*h**2 - 5*h**2. Let k(y) = -6*y - 2*y + 2*y. Give t(k(w)).\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*j**2 - j**2 + j**2 + (0 + 0 - j)*(3*j + 3*j - 5*j) + 11 + 2*j**2 - 11 + (-j + j - 3*j)*(2*j - 4*j - 6*j) to b*j**2 + v + a*j and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0*j - 4*j - 53 = 0, 0 = m - 5*j - 25. Let q(y) = -y**2 + 15*y + 3. What is q(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53240 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 4*v + 3. Let n be y(-4). Let j be n\/(-2)*4\/(-6). What is the greatest common factor of j and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**5\/10 + 2*m**2 + 66. Let i(z) = -z**2. Calculate g(i(a)).\nAnswer: -6*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27437356 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*sqrt(637))**2.\nAnswer: -70*sqrt(13) + 662","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**5\/30 - g**2. Let m(r) be the first derivative of r**2 - 77. Calculate c(m(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 5, 62, -0.3, 2\/17, 7 in descending order.\nAnswer: 62, 7, 5, 2\/17, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 304905*w**2 - 3 - 304860*w**2 + 5.\nAnswer: 45*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d + 21. Let x be p(-9). Let s = 20\/3 + -6. Which is the nearest to 2? (a) s (b) 2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -16776, -8343, 86, 8511, 16932, 25349?\n\"Answer: -2*x**2 + 8439*x - 25213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 214, 12854, 2.\nAnswer: 2, 214, 12854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 273, -99, -727, -1617, -2775, -4207, -5919, -7917?\nAnswer: -10207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*c**3*p - 2*c**2*p + 14*c**2 - 36*c + 25278*p - 1 wrt c?\nAnswer: -12*c**2*p - 4*c*p + 28*c - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 75 - 215 + 100)*(-2 + 6 + 0).\nAnswer: -8*s - 160","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3519359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 777 and 131250.\nAnswer: 4856250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 91 - 9ca?\nAnswer: -939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 57 = 2*j, -4*j = 2*o - 78 + 4. Solve -l = -2*v - 8, -3*v + 0 = 3*l + j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 2)*(34*f**3 + 36*f**3 - 4 - 65*f**3) as g + x*f**2 + s*f**3 + o*f and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (6 - (-4 - -4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1951293 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 2, 0, -5, -92, -0.91?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8357.5 + -8392.5. Let f be ((-3)\/2)\/((-36)\/32). Let q = 0 + 0. Put f, 2\/11, q, b in ascending order.\nAnswer: b, q, 2\/11, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 243 + -93. Let d = w - 126. What is the lowest common multiple of d and 1\/(-2 - -1) + 10?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*v**3 - v**3 - 3*v**3.\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8517*t*u**3 - 2*t*u**2*v - 18*t*u**2 - 3651*t*v - 103*u**3*v**2 - 2*u*v**2 wrt u.\nAnswer: -51102*t - 618*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**5\/20 - 5*a**4\/6 + 4*a**3\/3 + 9*a**2\/2 - a. Let z be v(9). Solve -n - 4*n - 15 = z for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -1 + -1 - (40 + -41) - 38?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12744123 to the nearest integer?\nAnswer: 3570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 189 and 315.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -s**3\/6 - 17*s**2\/4 - 26*s + 567. Find q such that n(q) = 0.\nAnswer: -13, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 8. Let z = m - -4. Solve -y - 4*o + 0 + 4 = 0, y - 2*o - 4 = z for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2. Let q(a) = -28475*a**2 + 23*a. What is q(d(h))?\nAnswer: -113900*h**4 - 46*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 936, -130, -1, -2, -2\/15, 6 in decreasing order.\nAnswer: 936, 6, -2\/15, -1, -2, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12 - (40\/20 - (-4)\/2). Factor 3*n**3 - 3*n**4 + 7*n**4 - p*n**4 + 0*n**3 + n**5.\nAnswer: n**3*(n - 3)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n + 7*n**3 - 41*n - 4*n**3 - 95*n.\nAnswer: 3*n**3 - 144*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010467 to four dps.\nAnswer: -0.0105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 8 = -3*l, -5*o - 3*l + 29 = -0*l. Let z(d) = -7*d**2 + 10*d + 6. Let u(x) = -10*x**2 + 15*x + 9. Let c(g) = o*z(g) - 5*u(g). Determine c(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -391*i + 56*i**2 - 90*i - 42*i**2 - 10*i**2 as j*i + p + x*i**2 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 148 - 84. Let s = l + -29. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -232310?\nAnswer: 232300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 - (-5 - -5*(-3 - -4)) and 155?\nAnswer: 1705","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-7))\/(((-36)\/(-4))\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*a**3 - 48*a**3 + 8*a**3 + 2*a**3 + 4*a.\nAnswer: -53*a**3 + 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 105078 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 8) in base 9?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22170a + -37?\nAnswer: -221746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 237733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15000 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*k = -12 - 4, 4*s = -5*k - 12. Suppose -5*a = -5*n + 3 + 7, 3*a = s*n - 2. List the prime factors of 11 + (-4)\/n - (0 + -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - (0 + 3)\/(-4 + 5). Solve -20 = -d*z - 4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 493.7483044 to the nearest ten.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 i when two letters picked without replacement from {y: 3, u: 1, p: 1, o: 5, i: 3}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 8. Let f = 15 + y. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000391893 rounded to six dps?\nAnswer: -0.000392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2205*c**3 - 94395*c**2 - 18040*c - 860 = 0 for c.\nAnswer: -2\/21, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -55890 or -55893?\nAnswer: -55890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**2*h**2 - 2*a**2*h - a**2*k**2 - 57*a*h**2*k**2 - 9*k**2 wrt h?\nAnswer: 4*a**2 - 114*a*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4630207, -9260430, -13890653?\nAnswer: -18520876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2962804 divided by 454.\nAnswer: 6526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*d + 80 - 29. What is the third derivative of 30*w**3 - 20*w**3 + 28*w**d + 114*w**2 wrt w?\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 35 = -107. Solve -4*j + f = 2*s, -j + 3*j + 4*s = 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -666.5 + 666. Put l, -1\/31, 0.09 in descending order.\nAnswer: 0.09, -1\/31, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 8*a**2 - 4. Determine r(-4).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 12 - 19 = 0. Let s = i - 10. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -124 - -135. Suppose q*z = 19*z - 40. Let p(r) = 5 - r - z + 14. Calculate p(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-40)\/50)\/(4\/10))\/(-15).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b + 198 + 12*b - 198 + 8*b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 10\/14 - (-45)\/805*2\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 35.8 (b) -5 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 794 + 459*g + 761 - 2324 + 769 to the form b + f*g and give f.\nAnswer: 459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4130 and 7?\nAnswer: 4130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 1772.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 21. Let i(b) be the first derivative of b**2 - 32*b + 481. What is 5*i(z) + 8*q(z)?\nAnswer: 2*z + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**4 - 850*s**3 - 76782*s**2 - 1949742*s + 2027376 = 0.\nAnswer: -312, -57, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1362240?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -52506822*r - 42225172.\nAnswer: -52506822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 490*x**5 - 258*x**2 wrt x.\nAnswer: 29400*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1143872 is divided by 1143870.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 115315 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 5*g - 109. Let n be h(-13). Let y be ((-8)\/(-18))\/(n\/(-6 + -39)). Solve -1 = c, 5*c + 13 = 4*s + y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - (-2 + 6)) + (579891 - -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 861823.2 millilitres?\nAnswer: 861.8232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 4*x**2 + 0*x**3 + 1\/12*x**4 + 1\/720*x**6 + 0*x + 0 - 1\/60*x**5. Let a(v) be the second derivative of l(v). Determine a(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250548887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 37*k**3 + 2200*k**2 + 24*k. Let q(m) = 23*m**3 + 1467*m**2 + 15*m. Give -5*j(x) + 8*q(x).\nAnswer: -x**3 + 736*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 981.4828 years?\nAnswer: 0.9814828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 - 25323?\nAnswer: -25255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 1d?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1172 + 1160. Suppose -2*y + 0*y - 14 = 0. Which is smaller: c or y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -8*m + 6*m. Suppose 2*p + 4 - m = 0. Suppose 5*w = 2*w + p. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 23*x + 130. Let c be k(-14). Let a be (-17)\/3*(-3 - -1). Find y, given that 8\/3*y**c + a*y**3 + 26\/3*y + 16*y**2 + 4\/3 = 0.\nAnswer: -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162 and 65592.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 2. Let a = -10 - d. Let f = -0.5 - -0.4. Which is greater: f or a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 12. Solve -s - f*s - 3 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/2)\/(14\/(-4)). Suppose 3*q + 23 = -4*w, 5*w = -0*w - 2*q - 34. Let m be 8\/(-9) + w\/(-12). Which is the closest to -0.1? (a) -2\/11 (b) m (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160377 is divided by 71.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1151613 and 6525807?\nAnswer: 19577421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 690863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1259712003?\nAnswer: 3, 11, 41, 53, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11570539*i**5 - 11036789*i?\nAnswer: 231410780*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -14*a + 12. Let q(p) = 42*p - 38. Give -16*j(d) - 5*q(d).\nAnswer: 14*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*n**4)*(-n + 5*n - 2*n) + 0*n**2 + 0*n**2 + n**5 + (4*n - 4*n - n)*(5*n**4 - 3*n**4 - 4*n**4).\nAnswer: 7*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i*i\/(i**0\/i*i))\/(i\/((((i\/i**2)\/i)\/i)\/i*i)) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/86 and -26\/215.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 32*m - 62. Let d be n(34). Suppose s - c - d = -s, -4*c - 12 = -2*s. Let w = 15 + -11. Solve -s*r + w*f = -8, -2*r - 3*r = -5*f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66352, 66296, 66110, 65728, 65084, 64112, 62746?\nAnswer: 60920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68372.\nAnswer: 2, 17093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 94, 0.1, -2, 0.06, 2 in decreasing order.\nAnswer: 94, 2, 0.1, 0.06, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 1605*r = 1606*r + 19, -2*i - 2*r - 2 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 63487875 divided by 1154325\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 50141 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.68 - 1.51069324.\nAnswer: -8.19069324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 234*o - 236*o = -3, -2*y = 7*o + 17 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -630429 and -630504 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69605 - -245878. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 6) to base 9\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/3 in 6, 0.5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**8\/840 - l**7\/420 - l**3 + 2. Let t(q) be the third derivative of r(q). Factor t(g).\nAnswer: 2*g**3*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 1. Let g(p) = -p**2 - 11*p + 9. Let f(q) = -6*b(q) - g(q). Let s be f(-6). Let -2*l + 4*l - l + l**s + 2*l**2 = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 39, 68, 115, 180, 263, 364, 483?\n\"Answer: 9*h**2 + 2*h + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2362 a factor of 2081796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m - 11. Let z(b) = b. Let k(h) = 6*h + 5. Let u(w) = -k(w) + 4*z(w). Let l(c) = 6*p(c) - 13*u(c). What is the units digit of l(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -118 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/3299940 and -19\/274995.\nAnswer: 3299940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 266707\/37570 - -4\/3757. What is the common denominator of -97\/100 and b?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59771077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4\/7 - 3705816*m**3\/7 - 14823300*m**2\/7 - 2117616*m.\nAnswer: 3*m*(m - 1235276)*(m + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6978?\nAnswer: 2, 3, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1269, -3886, -8249, -14358, -22213?\n\"Answer: -873*o**2 + 2*o - 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -6.053 and -1916.\nAnswer: -1922.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -852*w**2 + 291*w**2 + 275*w**2 + 288*w**2 - 11 + 2*w**3 - w as y*w**3 + l*w**2 + j*w + c and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-14) + 5\/((-210)\/(-12))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437 a factor of 594644970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -165*b + 357*b - 162*b - 450. Suppose -d = 2, 2*d + 2*d = -4*r + 12. What is the greatest common divisor of r and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -193 - 1217448.81.\nAnswer: -1217641.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qt when two letters picked without replacement from tutttqu.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -1637*i - 401070. Determine f(-245).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 0*o**3 + 23*o**2 + 4\/15*o**5 + 0*o**4 + 0 + 0*o. Let z(q) be the first derivative of -3*q**2\/2 - 30. What is z(b(l))?\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 l when two letters picked without replacement from zzxllxlxxxxzzlxxllll?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12 + -6 - 4)\/((-2)\/450). Let d = o - -635. List the prime factors of d.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 3*s = 22, -13*z + 10*z = -4*s + 1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -794 + 789. What is the closest to -1\/2 in 7, 0.6, 2, w?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 - -37. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbqtdsstssbdbbxqqdqd. What is prob of picking 1 s and 1 q?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31*1244.65.\nAnswer: 38584.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1969\/(-132) - 30\/(-2). Let a(z) be the third derivative of 1\/120*z**6 + 24*z**2 + z**3 + 1\/6*z**5 + 0 + w*z**4 + 0*z. What is a(-10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -290454265*i**2*p**3 - i**2*p**2 + 8046*i*p**2 - 44*i - 4*p**2 wrt p?\nAnswer: -1742725590*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 7:40 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/7, 2\/11705, 2, -2\/5, -5, 0.03?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lalalmmyl. Give prob of picking 1 l, 1 m, and 1 a.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 + 6. Let v(a) = 9*a**2 - 4*a + 2. Let q(z) = 1 + 2 + 10*z**2 + 8423*z - 8429*z. Let i(n) = -2*q(n) + 3*v(n). Give y(i(d)).\nAnswer: 98*d**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*n - 10, 3*i + 3*n = -3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-6) + (-38)\/(-6). What is the greatest common divisor of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -253*(-3592)\/72289*7\/(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25\/2 of a microgram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -28805 divided by -35?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 1:50 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 194153801, 194153803, 194153805, 194153807, 194153809?\nAnswer: 194153811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 12 = 2*o, 3*o + 13 = -0*o + 5*c. Solve 0*u = 3*u + o*d + 17, 0 = -u - 3*d - 14 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32\/48 + (4940716\/6)\/11.\nAnswer: 2, 5, 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**2 + 5*t - 2. Let c(b) = -3*b**2 + 4*b - 1. Suppose -28 = 7*v - 2*v + 4*p, -v - p - 6 = 0. Determine v*c(f) + 3*w(f).\nAnswer: 6*f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4771\/12 + -2381\/6. Which is the third smallest value? (a) k (b) 3\/2 (c) -304\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 + -70. Let t be 4\/q - 35750026\/(-65). Round t to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112 and 11?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 3 + 2*g)*(2*g**2 + 2*g**2 + 2*g**2)*(-4 - 12 - 1) to the form f + d*g + o*g**3 + i*g**2 and give o.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 12*l + 794. Calculate n(-57).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 18*x - 17. Suppose -55 = -5*p + 5*n, 0*p - 25 = -5*p - n. Let i(s) = -s + 1. What is p*u(v) + 102*i(v)?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2430637607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9259 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-111*y + 5*y**2 + 111*y)*(-154 + 301 + 133*y - 149)*(3*y - 4*y + 2*y).\nAnswer: 665*y**4 - 10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1685838339 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - (sqrt(156) + 6*(sqrt(156)*1 + sqrt(156) - sqrt(156))))\/(2*sqrt(1200) + sqrt(1200)).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2065080 is divided by 2065071.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 22.88909 rounded to two dps?\nAnswer: 22.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 40.8 and -1.34.\nAnswer: -54.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8950 + -26852\/3. Sort 3, -15\/31, -1\/2, j, -0.1 in ascending order.\nAnswer: j, -1\/2, -15\/31, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/14)\/(6\/(-84)). Calculate the remainder when 14 is divided by 1\/(z\/20*1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3*r + 22 = 2*r, -5*r - 76 = 4*q. Suppose -273 = d - 270. Sort q, 5, 1, d in descending order.\nAnswer: 5, 1, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -3.8\nAnswer: -1.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 7*u - 15 = 3*d, 5*u = 5*d + 25. Put 4, d, -71 in ascending order.\nAnswer: -71, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41906010?\nAnswer: 2, 3, 5, 1396867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y**2 - 5*y + 6. Let q be h(1). Suppose -5*o = -g - 225, -151 = 4*o - 8*o - q*g. Calculate the least common multiple of 12 and o.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1370 - -1908. Suppose -132*d = -130*d - z. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 12:32 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 60 = -12*z. Let t = 10 - 5. Solve -20 = 4*j - 2*k + t*k, 4*j - 5*k = z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 253, 508, 763, 1018?\nAnswer: 1273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 6*t**2 - 7*t + 6. Determine w(5).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 393 and 114.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5182 (base 11) to base 4.\nAnswer: -1223102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28466408 and 197828?\nAnswer: 540861752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - ((-5)\/75 - 1160\/600)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a94 + -3?\nAnswer: a91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 5*v. Let d = v - 12. Is 2\/(-6) + (-712)\/d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*l**2 - 2 - 14*l**3 - 45*l**2 + 27*l**2 to the form r*l**2 + y + f*l**3 + p*l and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -126.8991953 + 3524.8136543. Let k = b + -3375.91445919. Let z = k + -22. What is z rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 11*d**2 + 12*d + 22. Calculate m(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -15447*q**3 - 6*q**2 + 14*q + 19. What is the remainder when n(-1) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(186\/(-36) - -5). Solve 0 = 3*k - 5*l - 0*l - 17, x = 5*k - l + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -319941, -639890, -959839, -1279788, -1599737, -1919686?\n\"Answer: -319949*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 505 = 15*t - 10*t - 5*b, 2*b = -2*t + 182. What is the third derivative of s**3 + 44*s**6 - t*s**6 - 56*s**6 - 41*s**6 + 220*s**2 wrt s?\nAnswer: -17880*s**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11119595 to the power of 1\/3, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 10680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3530 = 3*u - 3*o - 2*o, 25 = 5*o. Let y = 2885 - u. Round y to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*(n\/(n*n*(n*n**(1\/7))\/n*n))\/n*n*n**15*n**(-3\/5)*n*n**10 assuming n is positive.\nAnswer: n**(849\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 12:38 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 298 = -0*l + 2*l, 2*l = v + 306. Suppose -f + x - l = -2*f, -5*x - 715 = -5*f. List the prime factors of (-3 - -4) + (0 + f)\/3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/4 + -15)*1. Let n = f + 21. Solve -4 = 3*p + n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0538853 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 4 = 4*u - 4*g, -248*u = -252*u + g - 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2 = 8. Calculate the highest common divisor of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 6:12 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.88 less than -136259085?\nAnswer: -136259086.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*z + 15*z + 6. Solve -v = -2*d - 7, 3*v - z*d - 9 = 4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xiiixxxxxixxxx. What is prob of picking 1 i and 3 x?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -291.01 - -291. What is q rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -8 - -12 - -3 - 9 - 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 + 50*s + 12. Calculate y(-25).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, i: 2}. What is prob of picking 1 i and 3 c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30416044391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 1)*(n + 0*n - 2*n)*((4*n - 2*n + 0*n)*(3 - 3 - 2) + 3 + 2*n - 3 - n - 1 + 1 + 19*n + 74*n - 47*n).\nAnswer: 43*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 13. Suppose 5*l = 13 + 7. Sort l, a, -0.4 in increasing order.\nAnswer: -0.4, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**3 - 6*n**3 + 2*n**3 + (2*n**2 + 0*n**2 + n**2)*(2*n + 0*n - 3*n) + (-3*n**2 + 3*n**2 + n**2)*((1 + 5 - 5)*(6*n - 4*n - n) + n + 2*n + 0*n).\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2. Let j(w) = w**2 - 90. Determine y(j(n)).\nAnswer: 2*n**4 - 360*n**2 + 16200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27525 - 101826?\nAnswer: -74301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 258\/4*(-16)\/(-24). Let j = p - 26. Suppose l + 2*h = 11 + j, -2*l = 3*h - 60. Does 22 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 4*w + 5. Let l be g(-4). Let v be -1 + 4*l - 3. Suppose a - 5*h + v = 0, -3*a + 4 = 2*h - 16. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/sqrt(3))**2 + 0 - (sqrt(11) + sqrt(44)\/sqrt(4) + -1).\nAnswer: -2*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 8 = -7. Suppose 0 = -d, -k + 4*d = -r*k. Let a(f) = -f - 4. What is a(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*j - j - 208 + 340 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1656 divided by -276.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*f + 800319 = -0*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 - 21*w**3 - 9038 - 15*w + 9041 + 3*w**2 in the form h*w**2 + t*w**3 + m + v*w and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 - 60. Let v = 43 - d. Does 24 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3495, 5235, 6987, 8757, 10551?\n\"Answer: b**3 + 1733*b + 1761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21345*h - 21364*h + 304. Let w(j) = j**3 - 17*j**2 + 16*j - 19. What is w(h)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-1) - (2 + 3). Let l be (t\/8)\/(9\/6). Is l greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 951*c - 950*c + 6 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 256 - -987. Suppose -15*c + 4*c + z = 0. List the prime factors of c.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 - 124 - 105)*(1 - 3*d - d - 3).\nAnswer: 772*d + 386","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: a1 (base 16) to base 5\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-75)\/(-12) + (-2)\/8. Suppose -6 = -3*y + 3. Solve o - d = -y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*sqrt(1088) + sqrt(1088) + -2.\nAnswer: -3 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6862919 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 + 53. Suppose 44 = 5*n + 4*x, -4*n - p = -3*x - 35. Find the third derivative of -44*d**6 + 17*d**6 - n*d**2 + 15*d**6 wrt d.\nAnswer: -1440*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/25, 2.031, 27\/2, 4?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**5\/3 + 16*h**4\/3 + 10*h**3 - 16*h**2\/3 - 32*h\/3 = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1331617 to the power of 1\/2, to the nearest integer?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*sqrt(10)\/(sqrt(5)*-2)*-5.\nAnswer: 1 + 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2025 (base 8) to base 12\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**2 - 5. Let q(v) = 323*v**2 - 1 - 725*v**2 + 311*v**2 + 1. What is m(q(s))?\nAnswer: 33124*s**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 39489.6 rounded to the nearest one hundred?\nAnswer: 39500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2060.0679 to the nearest ten.\nAnswer: -2060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/88718 and -45\/215458.\nAnswer: 1508206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.001 (b) 1.15 (c) -2.5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 52*z + 159. Let m be d(-3). Solve 2*r = 2*h - 10, -3*h - m = -9*r + 12*r for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 6 + 4*r**4 + (-4*r**2 + 2*r**2 - 2*r**2)*(5*r - 2*r - r)*(3*r + 0*r + 2*r).\nAnswer: -36*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 48768702 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 + 46552*n.\nAnswer: 2*n*(n + 23276)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1030072 divided by -331.\nAnswer: 3112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 262988909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 528*q + 1264. Let y(k) = 549*k + 1263. Let i(s) = 5*x(s) - 4*y(s). What is the first derivative of i(w) wrt w?\nAnswer: 444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -76*c + 88 + 224 - 84 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15231 - 15208.054. Let f = h + -23. What is f rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 + 178780*s + 178775.\nAnswer: 5*(s + 1)*(s + 35755)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -932752?\nAnswer: -1\/233188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -132990 + 70990. Round k to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7715 rounded to the nearest one hundred?\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-1\/3)*z)**(-10))**(2\/27))**37 assuming z is positive.\nAnswer: z**(-3700\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 + 26. Let v = d - -30. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 8*k**2 + 57*k - 206. What is x(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.189 - -0.941. Let u = d - 27.13. Let o = -25.9966 - u. What is o rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 678014431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 4*y**2 - 25*y + 44. Let x be z(2). Let m(h) = h**2 + 4*h + 2. Let n(a) = a**2 + 3*a + 2. Give x*m(g) - 3*n(g).\nAnswer: -g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-49)\/(-7))\/(2\/90 - 0). What is the highest common divisor of 35 and r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 10:36 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 6*z + 25)*(2 - 2 + 3*z)*(122*z**3 + 25186*z**2 - 25186*z**2).\nAnswer: 2196*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -13. Let z(k) = -71*k**2 + 3*k - 2. Let q be z(1). What is the remainder when (588\/q)\/(1\/(-5)) is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 5) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(539) + 5.\nAnswer: 6 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**3\/7 + 118*q**2\/7 + 132*q = 0.\nAnswer: -7, 0, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.6102 * -0.067.\nAnswer: -0.1078834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1322291 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 69502.\nAnswer: 278008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 4*a + 2*a)*(-10*a + 4 - a**2 - a + 10*a).\nAnswer: a**3 + a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y + 410 = 3040. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 3 = 3*m, -49 = -5*y - 64 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.8 + 2.4.\nAnswer: -17.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238*g = -163320 + 447730. Which is bigger: -1193 or g?\nAnswer: -1193","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 330635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 0. Let p be (o + (-7)\/(-2))*2. Let q be (p - 1)*(0 + 1). What is the greatest common factor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*r + 34*r + 17*r - 3*r + 32*r to q + z*r and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11432 is divided by 234.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 35, 55, 83, 119, 163?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*d + 17*d + 6. Let j(h) = h**2 + h + 1. Let f(c) = -10*c**2 - 5*c - 8. Calculate d*f(t) + 6*j(t).\nAnswer: -4*t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-6\/23)*d*d\/((d\/(d\/(d\/d**15)))\/d) assuming d is positive.\nAnswer: d**(385\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 2*l**2 + l**3)*(9*l**2 + l**2 - l**2).\nAnswer: 9*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 q when four letters picked without replacement from {a: 6, q: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 + 54. Let v(d) = 2*d**3 - 215*d**2 - 111*d + 344. Let k be v(108). Differentiate k*b - w - 8*b + 10 with respect to b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4\/3)*(v*v**(-6)*v*v)\/v)**(-3\/4) assuming v is positive.\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4 = -1. Let g be 10\/2 + n*3. Suppose -5*l = -b - 8, -b - g*b + 18 = -l. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (-7 - (4 + -6))) + 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 58 in 5\/1232, -5, 3.8?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, y: 3, l: 6, m: 2, n: 3}. Give prob of sequence yl.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 3*r + z - 2, 5*r = 3*z + 42. Suppose d = 4*p - 8, 29 = 3*p - d + r*d. Sort p, 4, -7 in decreasing order.\nAnswer: 4, p, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m - 1. Let s = 13 - 16. Let d(a) = 2*a - 2. Calculate s*d(v) + 4*u(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/20068 or -98?\nAnswer: 1\/20068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 538807 + 580311 = 182*w. Is w a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -2\/3, 0.2, -0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 8*m**2 + 33*m - 5. Let c be h(-11). What is the third smallest value in c, 0.07, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42090795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n**2 - n + n)*(125*n**2 + 139*n**2 - 201*n**2) to b*n + t*n**2 + y + w*n**4 + o*n**3 and give w.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 755 (base 15) in base 3?\nAnswer: 2021022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -2 (c) 6147 (d) 30 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18) + 3 - sqrt(6)\/sqrt(3)*2.\nAnswer: sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -6\/7, 5, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1514414540 (base 6) to base 9.\nAnswer: -38631816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3981 - 3981.1. Which is the nearest to 2\/13? (a) 0.4 (b) 7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m. Let w(o) = -o. Give v(s) - 2*w(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 103\/2 (b) -5\/6 (c) 0.3 (d) 22 (e) 139\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 60\/19 (b) -2\/13 (c) 2\/17 (d) 4 (e) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**3 - s**3 + 0 + 0 - 6.\nAnswer: 4*s**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -0.41, -5, -245\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3302 + -2002. Round t to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-three fifths of a gram?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -683594.71407 + -0.3\nAnswer: -683595.01407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*i**2*m**2 + 73*i**2*m + i**2 - 20951*i*m**3 - 3*i*m - 22*i + 5*m**3 - 3 wrt m.\nAnswer: -8*i**2 - 125706*i*m + 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/4)\/((-3)\/6).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in 0.1888, -4, 2, -5.7?\nAnswer: 0.1888","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -9*i + 11. Let w(p) = 5*p**2 - p - 2. Let k be w(i). Suppose -3*h + 8 = h, -5*h + k = 3*j. Solve 0 = -3*a - j*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 454*b**2 + 11966*b - 4316. Give w(-479).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -554*v + 1620 = -551*v. Does 18 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 117654 + -198816. Let f = -974477\/12 - l. Let n = f - -128\/3. Find the common denominator of -77\/20 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-6))\/((-305)\/366). Sort f, -42, -29.\nAnswer: -42, -29, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11181869.\nAnswer: 17, 97, 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 908.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*1)\/sqrt(10) - ((5 + sqrt(19) + 1)**2 - sqrt(19)).\nAnswer: -55 - 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 915455 is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*n - k, -4*n + 3 = -3*k - 3. Let m be (-7)\/(-15) + (-2)\/n. Is m at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31340400 + -10?\nAnswer: 31340340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 198*n**2 + 14*n + 26. List the prime factors of g(-6).\nAnswer: 2, 5, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86844250 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1998)\/4662)\/((-3)\/4*1). Let w = 0 + 0.1. Which is the closest to w? (a) 0.7 (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 6*f + 8. Suppose 6*r + 15 = 87. Let k be o(r). Suppose 8*j - 3*j - k = 0. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 848191, 3392764, 7633719, 13571056, 21204775, 30534876, 41561359?\n\"Answer: 848191*l**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2. Let j(c) = 20293*c**2. Give j(d(a)).\nAnswer: 81172*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5682 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*b = 0, 4*b = 5*z - 20. Suppose -2*q = 6*m - m - 39, 5*q - 89 = -z*m. Let k = q - -6. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3\/11)*w*w**(-10))**(-37))**26 assuming w is positive.\nAnswer: w**(98124\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 75044303 in decreasing order.\nAnswer: 75044303, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57836379089\/9159647268 + -12\/9196433. Let u = a + -33\/83. Let j = 13\/4 - u. Is -2 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/2, -0.3, -0.6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 797*a + 6 = 798*a, 3*a = -4*l - 20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 - e7b?\nAnswer: -e68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - x - 2*x**4)*(5 + 2*x - 5) + (-x**4 + x**4 + x**4)*(-4*x + 5*x + 0*x) - 2*x**5 - 4*x**5 + 0*x**5.\nAnswer: -9*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 36 - e6461?\nAnswer: -e642b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n + 2 - 2 + 1099*n**2 + 510*n**2 - 961*n**2 to the form m*n**2 + l*n + x and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1290 and 11257140?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 128\/7, 72?\nAnswer: 128\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(2*sqrt(36)))\/(1*sqrt(27)\/sqrt(3) + sqrt(108)\/sqrt(192)).\nAnswer: 2*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 3\/7, -55, 1\/8, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 34\/(-4)*1224\/(-1156)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*m + 77*m + 87*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 11. Let m = -883 + 4417\/5. What is the second biggest value in m, 9, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -754\/3? (a) 0 (b) -2\/7 (c) -8 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrrrrxrrrrrrx. Give prob of sequence xx.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 2128.078719 to the nearest 10.\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -26*g**3 + g**2 - 3*g - 3. Let i be l(-2). Suppose -117*p + i = -112*p. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -l, -18449 + 18463 = 2*y - 3*l for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 128*y - 125*y + 2 = 0, 5*d + 7*y + 26 = 0 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 66 (c) -1\/5 (d) -172 (e) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -1242\nAnswer: 496.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 12*v**4 - 17*v**2 - 3*v - 2. Let p(g) = 12*g**4 - g**3 - 17*g**2 - 2*g - 1. Let h(x) = -2*k(x) + 3*p(x). Find the third derivative of h(z) wrt z.\nAnswer: 288*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*g - 34*g + 64253. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 194706.97 and 145.96?\nAnswer: 194561.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - 3. Let n be m\/((-10)\/(-4)) + -47998. Round n to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.077 - -0.007. Let i = 1.284 - v. What is the closest to i in -0.5, -3\/5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, j: 6, o: 1, g: 4, f: 3}. Give prob of sequence jgf.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195932 divided by -803.\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -99 + 105. Solve 8*b - 2*b + p = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/(-8))\/(-354 + 371).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -5*j + 20, 24 = -5*l + 4*j - 21 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*j + 10*f, 44*j - 16 = 46*j - 2*f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -102639, -102640, -102641?\n\"Answer: -d - 102638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -105829030, -211658064, -317487098?\n\"Answer: -105829034*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5958 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/3, 0.413, -0.5?\nAnswer: 0.413","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**1)**(-23)*t**(-1\/2)*t**(-5) assuming t is positive.\nAnswer: t**(-103\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 11*z**2 + 8*z + 488. What are the prime factors of m(-18)?\nAnswer: 2, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + y - 16 = -4*w, 2 = 2*w + 2*y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**5 + k**4 + k**3 + k**2 - k + 1. Let l(r) = -4*r**5 - 8*r**4 + 26*r**3 + 10*r**2 - 28*r + 16. Let j(o) = l(o) - 6*v(o). Factor j(b).\nAnswer: 2*(b - 5)*(b - 1)**3*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4720254576 - -4720257301.998451. Let c = 2726 - z. What is c rounded to four dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -7*g**3 + 6*g + 6. Let v(s) = -6*s**3 + 5*s + 5. Determine 5*m(q) - 6*v(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 6 = i + 2*p, -5 = 5*p. Let y be i\/12 + 606\/8. What is the highest common factor of 19 and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 9*g = -36. Let v = g + 22. What is the least common multiple of v and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + sqrt(1539)*-2 - (1 + sqrt(19))*4) + -4 + ((sqrt(19) + -1 - sqrt(19)) + 1)**2.\nAnswer: -13*sqrt(19) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1435*r**4*w - 7185*r**2*w**2 - 125129*r*w**2 - 110*w**2 wrt r?\nAnswer: 17220*r**2*w - 14370*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (51*q + 6664 - 6662 - 787*q)*(-2*q - 2*q + 2 - 3*q) in the form x*q**2 + f + i*q and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a + 3005360 = 28*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 5*l - 20 = 0, -m + 12*l = 7*l + 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 12 (b) -5 (c) -258638 (d) -2 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 35929, 35932, 35937, 35944, 35953?\n\"Answer: c**2 + 35928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 131680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -27173, -108746, -244673, -434954, -679589?\n\"Answer: -27177*b**2 - 42*b + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**4\/12 - j. Let s(o) = o + 3*o - 2*o. Determine s(v(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 9 = -o, 113 - 14 = -4*f - 5*o + 34*o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 357 - 226. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19 + 0 - -3) + (-101 - -54)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = i - 1425, 30*m - 10 = 25*m. Suppose q - 417 = 4*a + 36, -3*q - 4*a = -i. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1399311, 2798645, 4197979, 5597313, 6996647?\n\"Answer: 1399334*q - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(4\/33)*t**42*t*(t**(-32))**(-36) assuming t is positive.\nAnswer: t**(39439\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*g - 14 = 0, 3*n - g = -5*g - 2. Let v be (35\/(-10))\/((-1)\/n). What is the greatest common factor of v and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 35739 and 35740 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -118*i**2 - 40714*i\/5 - 276\/5 = 0.\nAnswer: -69, -2\/295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.22 - -2.8. Let n = -0.02 - j. Let s = 1.1 - 0.8. Which is the closest to -2\/7? (a) n (b) s (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 962, 1457, 1930, 2369, 2762, 3097, 3362?\n\"Answer: -2*u**3 + u**2 + 506*u + 457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 4.3. What is the third biggest value in g, 1, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5703 times 0.2?\nAnswer: -1140.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 9*w**6\/40 - w**5\/15 + w**4\/6 - w**3\/2 - 7*w**2. Let j be a(2). Suppose -j = -9*b + 4*b. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/70307 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 28 (b) -52 (c) -3\/4 (d) 1.5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -1885*a**2. Let i(d) = -2270*d**2. Calculate i(q(f)).\nAnswer: -8065820750*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 75.55 - 75.76. What is the nearest to 1\/4 in 0.4, 6\/11, b, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -4*o + 10, -5*q = 13 - 23 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 w when four letters picked without replacement from {j: 2, o: 3, w: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-468)\/(-24))*(-91)\/35*10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2070 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 5215915.\nAnswer: 5215914.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(1100) + 2) + sqrt(1100))*5)**2.\nAnswer: 20000*sqrt(11) + 442500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 - (-57 + 36)) + -33.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*h**4 + 41*h**3 + h + 2001.\nAnswer: -300*h**2 + 246*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y. Let v(m) = 38*m - 7. Let h(r) = -19*r + 3. Let a(t) = -7*h(t) - 3*v(t). Give a(w(u)).\nAnswer: 38*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 8*b + 8. Let m be p(9). Let d be (-2*1)\/((-1)\/1). Suppose 0 = -2*s + s - d. Which is smaller: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 8) to base 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84172 + -84144. Let o(b) = 10*b. Let m be o(4). Suppose h = -4*h + m. Calculate the highest common divisor of h and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 2. Let p(h) = -42 - h + 0*h + 65 - 8*h - 23. What is p(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 4. Suppose -20 = -3*u - 5. Suppose 0*f - f + 3 = -v, -f + 3 = 4*v. Put g, v, u in descending order.\nAnswer: u, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5 + -1*(3 + sqrt(405)*1 - (5 + -2*sqrt(405)))))**2.\nAnswer: -9450*sqrt(5) + 92350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-4))**(3\/5) assuming x is positive.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2796289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0, 106, 1, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**2 + 0*t**2 + 2*t**2)*(194*t**3 - 638*t**3 + 232*t**3).\nAnswer: 636*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 5*6\/(-3)) + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mimimmm. Give prob of picking 2 m and 1 i.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -198 divided by -679\nAnswer: 198\/679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 163*w**5 + 2*w - 135.\nAnswer: 3260*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 16 = 0, -1298*l = -1302*l - 9*q - 12 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h - 9. Calculate the remainder when r(9) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/(-30))\/((-1)\/15). Suppose 3*z - 995 = 2*o, z + 4*o + 1320 = a*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.11 and 0.169?\nAnswer: 0.279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 68 - 64. Solve -3*h = -5*d - 6, 0 = u*h + 12 - 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 531 and 530528.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 56488, 112984, 169482, 225982?\n\"Answer: t**2 + 56493*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 12 = 2*m, 2*m + 0 = -4*g - 6. Let w be 1\/(-3) - ((-16)\/(-6))\/(-2). Does 4 divide (17\/m)\/1 + w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218938 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + j = -21. Calculate the remainder when 9 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11448, -45890, -103366, -183876, -287420?\n\"Answer: -11517*g**2 + 109*g - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 - 1\/(28\/(-102)) and 75\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 41 in -5, 6, 0.3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 88 = -6*y. Calculate the remainder when y is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 3) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kukk when four letters picked without replacement from {u: 11, k: 5}?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 649491773 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-two fifths of a milligram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 5*t - 4 - 33*t + 34*t - 14*t + (-1 - 2 + 5)*(3 - 3 + t) + 6*t + 11*t + 7*t to j + d*t and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/12267528 and -14\/1271.\nAnswer: 380293368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -76 (b) 0.01 (c) -0.3 (d) -0.1 (e) -2\/5 (f) 1 (g) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.13 or -0.8?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000660535072 rounded to 7 decimal places?\nAnswer: -0.0006605","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (15\/(-10) + 3)*4\/3. Let 1\/4*h**k - 1\/4 - 1\/4*h + 1\/4*h**3 = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24\/3 + 41678 + -11 + 11?\nAnswer: 2, 19, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 41*c - 934. Calculate o(23).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*((-1295)\/10)\/(-7)*14. Let i(n) = 85 + 86 - 2*n + 88 - z. Let v(o) be the second derivative of 20*o**3\/3 + o. Determine i(v(h)).\nAnswer: -80*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(((v**(-26)\/v)\/v)\/v)*v\/(v*v*v**(6\/11)))\/((v\/(v*v*v**(-4\/5)))\/(v\/(v**(-19)*v)*v)) assuming v is positive.\nAnswer: v**(2676\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4026485.\nAnswer: 5, 805297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5676438863 to the power of 1\/3, to the nearest integer?\nAnswer: 1784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 1:52 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-160)\/(-72) - 4\/18. Solve -12 = 5*q + 3*r, 4*q - 3*r + 9 = x*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i + 2715. Let g(b) = b**2. Give v(g(n)).\nAnswer: n**2 + 2715","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a + b0?\nAnswer: ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 479.084 days?\nAnswer: 41392857600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2041322103212 + -4?\nAnswer: 2041322103203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - (sqrt(3456) - 1*sqrt(3456)) - sqrt(24))\/sqrt(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 30062.6262 to the nearest integer.\nAnswer: 30063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -12. Let u = 2 - m. Let k(v) = 4*v + 11. Is k(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 11352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.07 (b) 3 (c) 9 (d) -9 (e) 1\/4 (f) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.846 - 0.8. Let c = 0.0483 - n. Round c to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 + 0.39. Let z = 213\/2 + -109. Let l be ((-3)\/((-102)\/8))\/(-2). What is the closest to 0 in l, z, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -264, -360, -222, 270, 1236, 2796?\n\"Answer: 20*o**3 - 3*o**2 - 227*o - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**6\/15 + c**4\/3 - c**2 + 23*c. Factor x(p).\nAnswer: -2*(p - 1)**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-1\/7)\/m)\/(m**(-3)*m))**(-11))**(-2\/5) assuming m is positive.\nAnswer: m**(132\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/2? (a) -1\/4 (b) -2 (c) 436 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 to the power of 1\/2, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 9:21 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xaijppp. What is prob of sequence jpi?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6014 divided by -194?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t**2 + 0*t**2 + t**2)*(-26*t + 18*t - 31*t - 56*t) to g*t**3 + h*t + o*t**2 + s and give g.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 6, -893, -5 in ascending order.\nAnswer: -893, -13, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = -4*z - 6. Let c be 72\/z + (-1)\/(2\/(-10)). What is the third biggest value in -3, c, -2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2778683.\nAnswer: 107, 25969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 1643*n**5\/5 - 3*n**2\/2 - 758*n - 1486. What is the second derivative of q(x) wrt x?\nAnswer: 19716*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g. Suppose 14*i - 12*i = -98. Let b = i + 83. Let o(j) = b*j + 2*j - 26*j + 16*j. Calculate s(o(m)).\nAnswer: 26*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3070916 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 8. Let h(q) = 7 - 3 - 6. Determine -9*h(c) - 2*s(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 1:12 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 14) + (10 - -15) + -24.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125, 145, 127, 59, -71, -275, -565?\nAnswer: -953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -494, -2067, -4686, -8345, -13038, -18759?\nAnswer: -25502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -2856?\nAnswer: -2856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 7*n**2 + 4*n + 7. Let m(y) be the third derivative of -y**5\/10 - y**4\/8 - y**3 + 12*y**2 - 1. Let r = -16 - -12. Give r*b(g) - 5*m(g).\nAnswer: 2*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -6*p + 7. Let g(z) = -29*z + 3. Determine g(s(u)).\nAnswer: 174*u - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(1584) + sqrt(1584) + 2))**2 + sqrt(1584) - sqrt(1584))*-2.\nAnswer: -317000 - 4800*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1364\/(-88)*(-2)\/(-5))\/((-1086)\/(-10860))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/6916248 and 7\/36.\nAnswer: 6916248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1059 - 1055. Solve -b*y = -38 + 54 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3792984 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-0.0717.\nAnswer: -0.2151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/105 and -67\/882.\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -1246*k + 5506. Is 55 a factor of u(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13\/377)\/(264\/1276)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2038)\/3057*13\/(13\/60)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 311 (base 4) in base 14?\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 12 = -3*d, -6845*d + 6846*d + 3*z = 14 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -940*n + 348*n - 1309*n.\nAnswer: -1901*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (-10 - ((1 - 7) + -12))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(2\/6*-1). Solve -h + 9 = 3*r - 0*h, v*h = -5*r + 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 9 + 15 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (40 - 25 - 41) + 15?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157 = -12*c + 5*v, 4*c - 49704*v - 18 + 52 = -49702*v - 20 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (9 + -21) - -6 - -6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mfwfwiwwmwwmfffm. Give prob of picking 1 w and 3 f.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -513 = -2*g - 185. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/(c**(-1\/3)\/c))*(((c*c*c**2*c)\/c*c)\/c*c*c)\/c)\/(c**(-12)\/(c*c\/(c*c**(-3\/11)*c)*c)) assuming c is positive.\nAnswer: c**(592\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175074, 350147, 525220, 700293?\nAnswer: 875366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2716 less than or equal to 188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.459315991 rounded to two dps?\nAnswer: 5.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 11*p**2 + 18*p + 43. Give f(-5).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -471 + 101. Calculate the remainder when 215 is divided by b.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 619.3 - 619. Which is the nearest to -1? (a) -11 (b) 0.4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16104 divided by 732\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2. Let j(z) = -z**2. Suppose 0*n + 5 = -5*n. Give n*d(i) + 3*j(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/30)\/(2\/1011). Let k = -134 - w. Let o = -78292 - -78289. Which is the biggest value? (a) o (b) 0.3 (c) 3 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1381.172384 to zero decimal places.\nAnswer: -1381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.4 (b) -2\/9 (c) -0.3 (d) -4 (e) 0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(24\/(1 - 9)) - -7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a gram in milligrams?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m\/m**(-9)))\/(m**(2\/27)\/m))\/(((m**(-11)\/m)\/m)\/(m*(m**(7\/2)*m*m*m)\/m*m*m*m)))**(-28))**(-49) assuming m is positive.\nAnswer: m**(534394\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 25*d - 3459. What is the remainder when 652 is divided by k(145)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 100 + -7729?\nAnswer: -7629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20410227.\nAnswer: 3, 359, 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26324460937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*t + q - 67 = 0, q - 39 = 3*t. Let p = 9 + t. Let x = p - -8. Solve -x*z = -0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 8, d: 2, c: 3, w: 6}. What is prob of picking 2 w and 1 c?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21450?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -6*a + 191. Determine m(33).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)*d)\/(d**0*d)*((d**(2\/7)\/d)\/d)\/(d**(2\/5)*d)*(d*d**(-1\/3))**(16\/5)\/(d**(2\/9)\/d*d\/(d**(2\/9)\/d*d*d)) assuming d is positive.\nAnswer: d**(-208\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 - 46 + 15 + 1352*t + 11 to the form r*t + g and give r.\nAnswer: 1352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mtkmmtmtmmmmkmmmmkm. What is prob of sequence tmtt?\nAnswer: 13\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17450 rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34.17 - 34.17. Let y = 5\/3 - 1. Which is the nearest to -0.6? (a) 0.5 (b) v (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 - 88*v - 100. Give k(-45).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-1\/4)*z))**6*(z\/(z**(1\/4)*z*z))**(26\/7))\/(z**2\/z**(-3))**(-38) assuming z is positive.\nAnswer: z**(1308\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 77.70087 + 16.\nAnswer: 93.70087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**4\/14 - 460*t**3\/21 - 1353*t**2\/7 - 576*t + 45. Determine k so that n(k) = 0.\nAnswer: -224, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 844 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 9:47 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 - -59. Suppose j*w = -213 - 281. Let c = 55 + w. What is the highest common divisor of 119 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*f*t**3 + 9*f*t**2 - 6*f - t**4 - 14*t**3 wrt t?\nAnswer: 48*f - 24*t - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19508973.\nAnswer: 3, 11, 591181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102869*d**2 + 206098*d**2 - 103226*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 98.6793144 to 0 dps.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*i - 11 - 3*i + 7*i - 7 wrt i.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(4 + 2 + -10)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Suppose 2*i - 2*o + 4 = 0, 4*o + 0 - 11 = 5*i. Let y be 3 + 14\/i*594\/(-77). Suppose -y*x = -37*x - 184. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 11*i**2 - 8 - 9*i**2 + 2*i**3 + 78*i - 5*i as h*i**3 + g + k*i**2 + z*i and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/4 + (-4)\/(-6) and (-57)\/10 - (144\/(-30))\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**7*p*p**(-1)*(p\/(p*p\/(p\/(p\/p**1))))**19 assuming p is positive.\nAnswer: p**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 8 + 7. Suppose -3 + 15 = m*r. Suppose 5*z + 2*d = 14, -r*d + 1 = -7. Sort z, 4, -5 in increasing order.\nAnswer: -5, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3102 (base 7) to base 9.\nAnswer: -1430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*r - 83*r - 23*r - 113*r in the form x*r + q and give x.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaaaaaaaaaaaax. What is prob of sequence aa?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -6. Let n = 17 - f. Let l = 2 - n. What is the closest to -1 in l, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 408.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**0)\/(n\/n**0)*n**2*n*n*(n**3\/n*n)\/n*n*(n\/(n\/((n\/n**(-3\/5))\/n)))\/n*n**(2\/15)\/n*(n\/n**(-3\/5))\/(n*n\/(n**0\/n*n)) assuming n is positive.\nAnswer: n**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-28)\/(-8))\/(2\/(-20)). Let m be a\/(-14)*2\/10. What is the closest to m in -2\/3, -2, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3341 + 13?\nAnswer: 3354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9507 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1508.85423 seconds in days?\nAnswer: 0.017463590625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8064, -32260, -72586, -129042, -201628, -290344, -395190?\n\"Answer: -8065*w**2 - w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, -2\/5, 0.007?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 24*h + 16. Let f(d) = 5*d + 3. Suppose 317 = 10*z + 287. Give z*i(n) - 16*f(n).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000010 - -10111110100100011001011?\nAnswer: 10111110100100001001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, k: 1, l: 2, a: 1, h: 1, s: 2}. What is prob of sequence lah?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k - 30*k + 12*k + 13*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 4*s**5 - 307*s**4 - 4977*s**3 - 19061*s**2 - 4459*s = 0.\nAnswer: -7, -1\/4, 0, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + s**2 + 0*s**2)*(-4 - 2 + 5) + (-2*s + 2*s + s)*(3*s + s - 2*s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -132*a + 21. Calculate w(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*s = 66*s - 1560 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7733, 7732, 7731, 7730, 7729, 7728?\nAnswer: 7727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 873?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11795074, -11795073, -11795072?\nAnswer: -11795071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 118176204*f + 135386767 wrt f.\nAnswer: 118176204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 274 and 12.\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 6:45 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -493\/1720 + -39\/344. What is the fourth smallest value in -1\/5, -1\/10, f, -4, 3\/5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 + 16*q + 11. Let l be 3916\/(-242) - -16 - (-60)\/(-33). Determine r(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -115?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -6*a**3 - 11*a**2 - 5*a + 19. Let d be m(8). Let o = 76051\/20 + d. Calculate the common denominator of -1\/12 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -129945*i**2 - 2*i + 2. Let v(x) = 3*x. What is v(p(g))?\nAnswer: -389835*g**2 - 6*g + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 44*k**2 - 327*k - 1395. Give f(-36).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 1 - 8 = -2*a, -4*a = -k + 27. Let f be 14*(4\/a + 1). Suppose i - 28 = -f. Calculate the remainder when i is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -300 and -0.5.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 1.632, 0.04, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 5*r - 265 + 290 = -r, 5*i + 3*r = 10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -38*o**2 - 2*o - 13. Let g(y) = 192*y**2 + 10*y + 62. Calculate -4*g(b) - 19*h(b).\nAnswer: -46*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6387174, 6387155, 6387136, 6387117, 6387098, 6387079?\n\"Answer: -19*j + 6387193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 18\/5 of a microsecond?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159 = -18*w + 3*j, -2*j = 328*w - 327*w - 2 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 6*o - 1. Let v be p(5). Let r = 2462 - 2457. Solve -15 - r = -v*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -12, -2, 0, -32 in descending order.\nAnswer: 3, 0, -2, -5, -12, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -98, -143, -228, -365, -566, -843, -1208?\nAnswer: -1673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 23012.\nAnswer: 23012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-131 - -117 - (-5 + -5 + -1)) + 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -114 - 2\/3*a + 0*a**2 + 1\/24*a**4 + 1\/6*a**3. Factor d(j).\nAnswer: (j - 1)*(j + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from pppsscgggcgpgps.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 - -8. Let q be ((-28)\/i)\/((-1)\/(-5)). Let v(y) = y - 5. What is v(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 40447 and 40447 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.8 + 0.2. Suppose 2*y = -y - 27. Let n be ((-6)\/(-20))\/(y\/(-12)). Which is the nearest to -0.1? (a) n (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 135 = t, 0*p = 5*p - 3*t - 354. Does 25 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 27 = -3*a, 2*r + a = 39 - 41. Let u be r\/(-7 - -3 - -3). Calculate the highest common factor of 27 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-35)*3038\/36890\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 0.4 (b) 9\/8 (c) 0.09 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6896307331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2 + 23*u + 16*u - 38*u. Give g(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -40? (a) 1 (b) -0.27 (c) -8 (d) 1.29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a factor of 87530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(8) + -5*sqrt(72))\/sqrt(4).\nAnswer: -84*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pouo when four letters picked without replacement from opupuoopopuuou.\nAnswer: 50\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -4*j + 20, -3*b = 2*b + 2*j - 19. Suppose -4*n + 21*n - 306 = 0. Suppose -r**2 + r**4 - n*r**3 + 16*r**b - r**2 + 3*r**2 = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9374 + -9384. Is -23 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6153314233 to the nearest integer?\nAnswer: 1832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2175 + -2171. Which is the biggest value? (a) f (b) -25 (c) 2 (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 381*j**3 - 379*j**3 - 12*j**2 + 52.\nAnswer: 2*j**3 - 12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -6 + (3 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*(-20)\/10\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**3 + 4*s**2 - 7*s + 8. Let w(v) = 2*v**3 - 3*v**2 + 6*v - 7. Let j(z) = 5*f(z) + 6*w(z). Let n = 14160 - 14162. Determine j(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 21500?\nAnswer: 21454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, o: 3, k: 5, v: 2}. Give prob of sequence kkx.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -2311?\nAnswer: 2311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**4\/6 - 104*k**3\/3 + 1810*k**2\/3 + 1344*k = 0. Calculate k.\nAnswer: -224, -2, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5 - 4*b**2 + b**2 + 4*b**2 - 6*b. Let u be z(6). Solve m + 8 = u*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*h - 97 = -23 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((5*v - 2*v - v)*(0 - 1 + 0) + v - 3*v + 0*v)*(14*v - v + v + (v - v + v)*(3 - 1 - 1)) to the form d*v**2 + y*v + w and give d.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 32*y**3 - 88*y**2 - 38*y - 12. Let u be b(9). What is the highest common divisor of u and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 11:21 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2909022 divided by -2\nAnswer: 1454511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2062, -1, 21\/121, 1\/7?\nAnswer: 21\/121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-70)\/14 + -12.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5922, 2, -3.\nAnswer: -5922, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4924, -4937, -4958, -4987, -5024, -5069, -5122?\n\"Answer: -4*o**2 - o - 4919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2005 and 1300585355.\nAnswer: 2005","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - -1 - 2) + (-131)\/(-1)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**2 - 1. Let z(h) = 30*h**2 - 5*h - 61. Give -7*k(n) + z(n).\nAnswer: 2*n**2 - 5*n - 54","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 8301\/3856 bigger than 1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3828, -14723, -32798, -58053?\nAnswer: -90488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3095096*h - 4732382 wrt h?\nAnswer: -3095096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*t + 2880 = -148*t. Let n(j) = j**2 + 14*j + 65. Calculate the smallest common multiple of n(-19) and t.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -551.83013 + 551.52. Let u = -0.31 - t. Round u to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.03 + 14.03. Let y = 14.01 - q. Let b = 0.03 + y. Sort -4, b, -0.4 in decreasing order.\nAnswer: b, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 118, 119, 136, 181, 266, 403, 604, 881?\n\"Answer: 2*s**3 - 4*s**2 - s + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/6380 and -37\/5220?\nAnswer: 57420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5036855774 to the power of 1\/3, to the nearest integer?\nAnswer: 1714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3292*p**4 + 6780*p**3 - 95800263*p wrt p?\nAnswer: 39504*p**2 + 40680*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -11*m + 5*m + 6*m - 10*m**2. Suppose 2 = -0*s + 2*s. What is c(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/10 - 2378\/1845)*(-2)\/208*6.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.258, -1, -0.68, -0.1, 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microsecond in nanoseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.062 and 51419063832.\nAnswer: 51419063831.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0463 + 0.0463. Which is the nearest to 1? (a) 1\/9 (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/32, 5.2, 3\/11, 4, -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44\/5 at least as big as 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o + 167 + 2*o - 57 - 55 - 59.\nAnswer: 6*o - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*m = -60, -8*k - 2*m - 20 = -9*k. Solve 5*t = -3*n - k, 4*n + 3*t = n - 18 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(468) + 0 + (sqrt(468) - ((sqrt(468)*-2)**2 + 0 + sqrt(468))) - -2*-5*(sqrt(117)*6)**2*1.\nAnswer: -43997 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 555*z. Let q(g) = -10*g. Give t(q(b)).\nAnswer: -5550*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 371 (b) 67 (c) -1\/10 (d) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 783?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2 - 4*z + 14. Let m be k(-6). Let q be (-6)\/(-2) + 106\/m. Put q, 2, 3 in decreasing order.\nAnswer: 3, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25408773 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*u = 42*u - 416. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oz when two letters picked without replacement from {o: 2, i: 2, z: 6, s: 3, v: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 4*f - 19 = 1, 4*s + 2*f + 20 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 1\/21*r**3 - 3 + 1\/35*r**5 + 0*r - 1\/14*r**4 + 0*r**2. Suppose w(o) = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*w + 26*w = 384. Put w, -4, -3 in decreasing order.\nAnswer: w, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -bb - 9448?\nAnswer: -9547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.8 + 1.8. What is the closest to c in 1, 2\/7, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 51 = -7*y, -2*y - 7 = 198013*m - 198014*m + 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -0.3, -5, 1.7, -6\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1862559 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r - 21*r = 64*r - 721 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 7*p. Let j = -11 + 11. Suppose j = -10*u + 2*u + 32. Let m(h) = u - 10 + 6 + h. Calculate n(m(a)).\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 28 - (2 + 32 + -2).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at most as big as -51644371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjz when three letters picked without replacement from zjzzjzzzzjz?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -6*p - 44. Let l(m) = 4*m + 29. Let g(k) = 8*l(k) + 5*z(k). Let w(b) = -b**2. What is g(w(s))?\nAnswer: -2*s**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 14*c**2 - 1828*c - 789. Calculate l(131).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -204, -518, -1028, -1722, -2588, -3614, -4788?\nAnswer: -6098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/7)*j)**5\/(j*j**(6\/5)*j**(2\/17)*j) assuming j is positive.\nAnswer: j**(-699\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 522 + -521. Which is smaller: g or 40\/29?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, o: 1, y: 2, h: 1}. Give prob of sequence ho.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(468) + -4 + (sqrt(52) + sqrt(1300) - (sqrt(832) + (sqrt(832) - (1*sqrt(832) + sqrt(832)))))**2 + 0.\nAnswer: 6*sqrt(13) + 1869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 5. Let r be 1570\/((-2)\/q - 0). Suppose -5*f = n - r, -395 + 81 = -2*f - n. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 254?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tsx when three letters picked without replacement from {x: 6, t: 1, e: 2, s: 2, b: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1165? (a) 4 (b) -0.09 (c) -1 (d) -0.4 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 25.66334 millennia?\nAnswer: 256.6334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*c + 4. Let l(g) = 5*g**3 - 4*g**2 + 3*g + 2. Calculate the remainder when l(2) is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007625 rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45\/2 - -46\/3. Let i = 347027\/165 + -22932\/11. Let x = i + b. Calculate the common denominator of -64\/35 and x.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-272)\/476)\/((-72)\/(-567))*2\/159.\nAnswer: -3\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 6*k**2 + 11*k + 2. Let l(z) = -319*z**2 - 7. What is h(l(o))?\nAnswer: 610566*o**4 + 23287*o**2 + 219","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22440 = 228*w - 7392 for w.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54\/61 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 1140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/8 (b) 1 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 1 + 3)*(0 + 1 + 0)*(363*q**3 - 1719*q**3 - 4799*q**3) as o + m*q**2 + u*q**3 + z*q and give u.\nAnswer: 18465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - 6 - 6, -3*r = -5*y + 14 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10793116*p**5 - 14329957*p wrt p?\nAnswer: -215862320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 10*c**2 - 11*c + 2. Calculate n(6).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 166*p*z + 235*z wrt p?\nAnswer: 166*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -6) + ((-2400)\/(-279) - 144\/(-108))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 5*v - 28 = -42*j + 37*j, 12 = 4*v + j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + 1)\/(-12 + 11). Let j(u) = u**3 + 6*u**2 + 2*u - 7. Let h be j(c). Let x(p) = p - 5. What is the remainder when 11 is divided by x(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2. Let m(o) = 30*o + 7. Let i(f) = 10*f + 2. Let h(d) = 21*i(d) - 6*m(d). Calculate g(h(c)).\nAnswer: 1800*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i. Let l(q) = -5*q**2 - q + 1. Let b(a) = l(a) - 3*y(a). Let s(c) = 6*c**2 - 3*c - 1. Give 5*b(n) + 4*s(n).\nAnswer: -n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + s + 14, -5*v + 3*s - 27 - 1 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 25 = -2*h, 5*h = -u - 21. Suppose 6 = u*o + d + d, o + 5*d = 6. Let n be 11 + 0 + (o - 5). Solve -2*b + 2*m + 2 = 0, -n*b + 2*b - 5*m = -45 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 832 = -2*v, -5*v - y = -3143 + 1072. What is the greatest common factor of v and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -3. Factor -6*b + 8*b**2 + 9 - 5*b**2 - 6*b**t.\nAnswer: -3*(b - 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1048888826 divided by 2599.\nAnswer: 403574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5857995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -252472563*j**3 + j + 89609418?\nAnswer: -757417689*j**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v. Suppose -3*s + 8 = -2*c - 11, 4*s = 5*c + 37. Let z(y) be the third derivative of 0*y**s + 0*y - 3*y**2 + 0 - 1\/24*y**4. Give u(z(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 322*k - 338. Let f(d) = -214*d + 211. Determine 8*f(c) + 5*q(c).\nAnswer: -102*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from fttfrtrfttrtrtf.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6563779.\nAnswer: 6563779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 2*i**2 - 8*i - 3. Let o be f(-4). Let h be -1*(o + 24\/9). What is the third biggest value in 2\/11, -5, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -13*r + 149. Let u(s) = -8*s + 67. Determine u(v(i)).\nAnswer: 104*i - 1125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 19*t**2\/2 - 3844. Let a(q) = q - q + q + 0. Determine a(n(p)).\nAnswer: 19*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-8 - -6) + 6 + (-18 - -11).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15518 is divided by 2951.\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 87 and 18?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -8512*i**4 - 16000*i**3 - 908*i**2 + 12136*i + 5556 = 0.\nAnswer: -1, -3\/4, 463\/532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**(-3\/2))\/(a*(a*a*a*a**(-7))\/a*a)*(a\/(a\/((a**0*a)\/a)))**(-1\/2) assuming a is positive.\nAnswer: a**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2491*l. Let s(w) = 42*w**2. What is s(a(v))?\nAnswer: 260613402*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 53 + -17 - (-5 + (5 - 16) + 5)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, 4\/3, -2\/21, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 581 is divided by 268?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3*a = -5*f + 20, 3*a - 15 = 0. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 28 - 108. Solve 33 = -8*p + h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-6 + 64\/8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -312?\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.4 - -0.4. Let y = 5 + -4.7. Let u = 5.11 - 0.11. What is the smallest value in w, u, y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49282927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(4 + -7 - -2). Let r = o - -9. What is k in 2\/11*k**3 + 2\/11*k**4 + 0*k - 2\/11*k**2 - 2\/11*k**r + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.75769 less than -0.09726?\nAnswer: -0.85495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 + 2*a + 32. Let q be v(0). Suppose 62 = 4*c - s - 2*s, 3*c = -5*s + q. Calculate the highest common factor of c and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*v**3*y**4 - 19*v**3*y**2 + 129*v**2*y**2 + 42*v*y**4 - y**4 wrt y.\nAnswer: 672*v**3*y + 1008*v*y - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -0*u - u + 5*w, 4*u - 3*w = -142. Let z = -42 - u. What is the closest to -2 in 3, z, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52357 is divided by 1938?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -103*15\nAnswer: -1545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cypqqupc. What is prob of picking 1 y and 1 p?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1238453401.\nAnswer: 193, 547, 11731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16073 is divided by 99.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1045191 kilometers in millimeters?\nAnswer: 104519.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -10111111110?\nAnswer: -10111111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(19\/(247\/403)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 11. Let t be 1\/(-6 + (-174)\/(-24) - 1). Solve p = -t*i - 24 + 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 4. Let y be m(-6). Determine r so that -11*r**2 - 7*r**3 - 3*r**4 + 2*r**y - 3*r - 2*r**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gw when two letters picked without replacement from {c: 1, g: 1, w: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 7 - 5)*(2*a**2 + 2*a - 3*a**2 - 2 + 3*a**2).\nAnswer: 12*a**2 + 12*a - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-11) + (-37672)\/121880.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 4*o + 57 - 2*o - o in the form m*o + i and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 30 = -0*b. Let w = -19 - b. Calculate the common denominator of 29\/8 and 200\/165*(-6)\/w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 886882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-18))\/(8\/36). Let b(y) = -144 + 141 + y - 2*y**2 + y + 0*y**i. What is b(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a factor of 18588850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/477 and -41\/162.\nAnswer: 8586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 437, 436, 433, 428, 421, 412, 401?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 2. Suppose 2*s + 20 = -l + 3*l, 3*s + 15 = m. Suppose -18 = l*h - 58. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(20)\/(sqrt(10) + sqrt(40)\/sqrt(4)) + -4 + sqrt(32)) - (((sqrt(144)*2)\/sqrt(8))\/(-2*sqrt(144)) + -3).\nAnswer: -17*sqrt(2)\/4 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 5:52 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98142 is divided by 785?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 836756117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 214, 205, 182, 139, 70, -31, -170?\n\"Answer: -k**3 - k**2 + k + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27341891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 92 and 1288.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -n**7\/231 + n**6\/55 + 9*n**5\/55 + 2*n**4\/33 - 8*n**3\/11 - 339*n. Suppose v(w) = 0. Calculate w.\nAnswer: -2, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 12. Suppose -54*v + 47*v - 4494 = 0. Let y = -609 - v. What is the lowest common multiple of y and l?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 42 and -660576509.\nAnswer: -660576467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-17 - (2 + -18)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (28\/(-42))\/(2\/(-153)).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.9 + 2.79. Let v = s + 0.41. Let u = 0.555 + -0.855. Which is the third smallest value? (a) 2 (b) u (c) -1 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 947763.8ml in litres?\nAnswer: 947.7638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03038 to 3 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-105)\/10 + 7 - (-2 - -4)\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1120293 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38 - 45 - (1 + 1)) + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*u**4 - 204*u**3 + 35*u**2 + 7*u - 66184461 wrt u.\nAnswer: -8*u**3 - 612*u**2 + 70*u + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -90389\/1070 - 13\/535. Which is smaller: g or -84?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 13, -16, -67, -146, -259, -412, -611?\nAnswer: -862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.027 (b) -0.25 (c) 0.6 (d) 0.1 (e) 4 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 700, 719, 772, 877, 1052, 1315?\nAnswer: 1684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllxllixlliiil. What is prob of picking 2 x?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 34, -4 in descending order.\nAnswer: 34, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6*d - 16 = 2*d, 2*d = 3*k + 4. Let a(j) = -24*j - 3*j**2 + 530 + 515 - 990. What is the lowest common multiple of a(-9) and k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*3932430\nAnswer: -393243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.046 + -6.1.\nAnswer: -6.146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + k - 1)*(0*k**4 + k**4 - 3*k**4) + 2*k**3 - 2*k**5 - 2*k**3 + 5*k**5 - 3*k**5 + 68*k - 69*k.\nAnswer: -2*k**5 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 10*x - 5. Let t(l) = -l**3 - 7*l**2 + 7*l - 1. Let d be t(-8). Let w be a(d). Let k be (1 - 3)\/((-2)\/w). Solve -4*b - k = -0*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -140, -0.4, -440, 6 in ascending order.\nAnswer: -440, -140, -0.4, 6, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(432) + sqrt(432) + 1*sqrt(432))**2 - sqrt(3)) - (sqrt(243) - (sqrt(243) + 2 + -2))**2.\nAnswer: -sqrt(3) + 3893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + (((-1*sqrt(112) - sqrt(112))*-6)**2 + (1 + sqrt(112))*5 - ((sqrt(112) - (2 + sqrt(112)) - sqrt(112))*4)**2*-4)).\nAnswer: 6264*sqrt(7) + 141312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64 - 46. Suppose 3*z - 5*z - 2*i = 0, 5*z = 4*i + v. Solve 88*y**z - 14*y**3 - y**3 + 5*y**5 - 98*y**2 = 0 for y.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1217144, -1217158, -1217172, -1217186, -1217200, -1217214?\nAnswer: -1217228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 119\/12 - 39\/4. Let c(u) be the second derivative of 2\/9*u**3 + 1\/6*u**2 + 1\/15*u**5 + 1\/90*u**6 + 2*u + 0 + r*u**4. Determine q, given that c(q) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*b**2 - 87*b**2 - 93*b**2 - 89*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 630 = -615 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.31277609 + -0.17843279. Let y = l - 17.71433712. Let m = y - -6.58. Round m to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 9990762*u - 9990762*u + 4 + 9355*u**2)*(2*u**2 - 4 + 4) in the form c*u**4 + k*u**3 + q*u + f + g*u**2 and give c.\nAnswer: 18710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (8 - 10) + (-2 - -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 84778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 + d - 1. Let q be k(-2). Let r be (-2)\/(-6)*45\/q. Solve -2*z + 12 = -3*j, 0 = j - r*z + 11 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 16 - 10 = 0. Factor -6 - 13*o - 10*o**3 - k*o**4 - 7*o - 23*o**2 - 2*o**3 - o**2.\nAnswer: -2*(o + 1)**3*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/17164 and 37\/1008?\nAnswer: 617904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-8)*z)\/(z*z*z**(-8))*z\/(z\/(z*z**(-1\/2)*z))*z**(1\/7)*((z*z*z**(-2))**(12\/17))**(-44) assuming z is positive.\nAnswer: z**(23\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*g = -185*g + r - 15, 0 = -3*g - 3*r + 9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26746301199\/722 + 37044750. Let r = c - -1\/361. What is the common denominator of 45\/16 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 27*f - 108. Let d(l) = -25*l + 108. Let m(p) = 2*d(p) + 3*t(p). Let c be m(12). Calculate the greatest common divisor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 3*w - 5 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-18))\/(7\/7). What is the second smallest value in k, -0.5, 1\/61?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19428 and 262278.\nAnswer: 524556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-197*m**2 + 35*m**2 - 881*m**2)*(2*m**2 + 4*m**2 - 3*m**2) in the form i*m + w + t*m**3 + d*m**2 + j*m**4 and give j.\nAnswer: -3129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 1 = 4. Let i = -15710 - -15661. Sort -4, i, 4, m in increasing order.\nAnswer: i, -4, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10941 divided by 3647.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1856 and 352?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 312 + 5*a - 158 - 159. Let t(u) = -6*u**2 + u + 1. Let r be t(-1). Calculate i(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 23*b**2 - b + 1. Let u(r) be the second derivative of -11*r**4\/6 + r**3\/6 - r**2\/2 + r + 201. Calculate -3*u(o) - 4*w(o).\nAnswer: -26*o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7311 - 57791\/8. Let x = f + -87. Is 1 less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-1 - 0 - -4) - -7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u + 7*u - 3 - 4*u)*(-1099 + 122*u + 1099) to n*u**2 + x*u + b and give x.\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*j**3 - 26*j**2 + 7 - 16 + 13 - j + 27*j**2 to the form y*j**2 + n*j + f*j**3 + p and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1845, -3693, -5541, -7389, -9237, -11085?\nAnswer: -12933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(((u**(-3\/23)*u)\/u*u*u)\/u))**(26\/9)\/(u**(-43)*u)**(-1\/52) assuming u is positive.\nAnswer: u**(-773\/1794)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 at most as big as -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -3. Suppose 4*f = -3*y - 35, -64 = h*y - 0*y + f. Let j = 4 - y. What is the greatest common divisor of j and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2599 and 46.\nAnswer: 5198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*o + 432 + 641 = 0. What is the greatest common divisor of 1147 and o?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 125 + 19 = 0. Let f = i - -52. What is the derivative of -38 + 7*j**f - j**4 + 21 wrt j?\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 + -29. Let m(v) = 3*v**3 + 11*v**2 + 40 - 2*v**3 - 99 + 18 - 2*v**3 + v + 20. Give m(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -187992.4 + 187990.7000035. Let g = 40.3 - 42. Let i = p - g. What is i rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x**(-10)\/x)\/x))\/x)**(-10\/13)*x**(-6\/5)\/x**(-9) assuming x is positive.\nAnswer: x**(-93\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 5*j + 2 = 0, -2*j + 3*j - 14 = -3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 915 from 1649.\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 6:17 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.27 - 62.27. Let d = 158 + y. Let r = 97 - d. Which is the nearest to r? (a) -0.5 (b) -3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 - 176*p**2 - 640*p.\nAnswer: -4*p*(p + 4)*(p + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*q - 22, 5 = 3*q - 4*j - 6. Let o(g) = 620*g + 41. Calculate the remainder when o(0) is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a gram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2327 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 422 and 25531.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**3 - 51*b**2 - 114*b + 4. What is l(-23)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3340 and 36023904?\nAnswer: 180119520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1162*-194.\nAnswer: -22.5428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15705671410 and 49.\nAnswer: 15705671459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1595084000 to the nearest 1000000.\nAnswer: 1595000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeceeeeeeeeeeeececcc. What is prob of picking 4 c?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 t, and 1 a when three letters picked without replacement from trnankct.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9187264987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.49442mm in centimeters?\nAnswer: 8.549442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 u when three letters picked without replacement from yruzw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 1 (c) 4\/3 (d) -16\/23 (e) 10 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235*g + 62 = 266*g. Solve -10*a - g = 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 5*x - 4*z - 382 = 0, 1985 = 5*x - 5*z. What are the prime factors of x?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of y**8\/210 - y**7\/105 + y**6\/120 - y**5\/240 + 25*y**4\/6 - 71*y. Let a(u) be the third derivative of z(u). Factor a(n).\nAnswer: (4*n - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bhbzbrzbybbnbb. What is prob of sequence zyh?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0*x - 5*d + 65 = 0, -4*d = 2*x + 36. Let i = x + 41. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-55)\/(-22)*116\/5. Suppose 0 = f + 5*t + q, 2*t + 2*t = 8. What are the prime factors of (2\/(-4))\/(2\/f)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1061 - 1055. What is the second smallest value in y, -4, 0.78?\nAnswer: 0.78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -15*f + 16 - 2*f**2 + 15*f - 4*f**3 + 3*f**3. What is the tens digit of m(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*f + 6*f + 66. Solve x - 3*x + 5*d - f = 0, -7 = -5*x - 3*d for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -1\/3, -6\/7, 0.1?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/15)\/((-2)\/30). Let k be 48\/27 + z + (-50)\/18. What is the third derivative of 4*b**2 - 27*b**k + 25*b**4 - 9*b**2 wrt b?\nAnswer: 600*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.40571 times -147?\nAnswer: -206.63937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2362*l**3 - l**2 - 1 + 2.\nAnswer: 2362*l**3 - l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + g + 11, 0*f - 7 = 3*f + g. Which is the closest to 8? (a) -3 (b) 1\/7 (c) -0.5 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 4*f + 14 - 59, -4*k + 120 = 4*f. Calculate the least common multiple of 669 and k.\nAnswer: 7359","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u + 1. Let n(g) = g**3 + 4*g**2 + 4*g + 2. Let r be n(-3). Let z(l) = l + 2*l + 6*l - 8*l. Give r*z(c) - s(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fpprfrrrgfrqrrrrf. What is prob of sequence qf?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 - 35*c**2 + 60*c.\nAnswer: 5*c*(c - 4)*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*o - a, -17 = a - 13 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(85)\/(sqrt(10)\/sqrt(2)) + (sqrt(68)\/(1*sqrt(4)))**2.\nAnswer: sqrt(17) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - h = h - 82, 2*h - 124 = -3*m. Suppose 216 = 2*j + j. Let b = -50 + j. Calculate the remainder when m is divided by b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.52 + 1323207.456147.\nAnswer: 1323204.936147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1536810?\nAnswer: 2, 3, 5, 11, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, b: 9, q: 1, i: 3}. What is prob of sequence diiq?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1483 + 2982 + 5*n**2 + 15*n**2 - 1491 to the form y + x*n**2 + u*n and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35 - 842664?\nAnswer: -842710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 26 = 322. Is t a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-13730)\/(-3) + (-100)\/(-300).\nAnswer: 23, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3 + (-1 + 1 + 1)*(-1 - 5 + 4) - 2 + 2 + 1 + 3 - 4 + 0)*(0*x**2 - x**2 + 2*x**2).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130 and 40?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 436 or 435?\nAnswer: 436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 12:26 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 425, 834, 1243, 1652, 2061?\nAnswer: 2470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 11 = 3*l + 1, 3*l - 26 = -4*w. Let m = l + -5. Does 29 divide 1*(-2 + 104 + m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (8 + -1 - (-14 + 16)) + -20?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.7 - -0.9. Let q = -1 - j. Let u = 7 - 3. Which is the third biggest value? (a) 2\/5 (b) u (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24719 is divided by 1128.\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 2*o = -8, 0*o = -3*g - o - 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 8 (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (1 + 1 - (-4 - (-14 - -4)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -7. Let b be (0 - -3) + v - 2. List the prime factors of 10*b\/4*-9.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1779 smaller than 1780?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 33*z**2 - 6*z**3 - 17*z**2 - 5 - 8*z**3 - 2*z**2.\nAnswer: -14*z**3 + 14*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115 and 219530630.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 4*v - 83, -2*i + 6*i + v = 62. Calculate the highest common factor of i and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0.3, 14\/47, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5, 9, 39, 91, 171, 285, 439?\n\"Answer: w**3 + 2*w**2 + w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - (-76 + 28)) + (-8 - (4 + -22))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -0.453\nAnswer: -0.0453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 31\/5 of a millennium?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3, 13 = -3*i + 5*i - m. Let y = 4 + -10. What is the remainder when 9 is divided by y*(-1 - (-3)\/i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v = -3*d + 30, -12*d = -6*d - 4*d + v - 156 + 145 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1016676798 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 826 - 827. Which is the nearest to p? (a) 4 (b) 1\/31 (c) 5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -109 (base 10) to base 15\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(138\/(-12))*-1?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -217, 0.07, 3, -47, 1 in decreasing order.\nAnswer: 5, 3, 1, 0.07, -3, -47, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 3*n + 16 = -3*c, 2*c - 22 = -5*n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/7 + 249*l**3\/7 + 1458*l**2\/7.\nAnswer: l**2*(l + 6)*(l + 243)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5020 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 773529 is divided by 257816.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1.6, 2 in decreasing order.\nAnswer: 2, 0, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -96 - -53. Let v = m + 56. Suppose 0 = -v*n + 12*n + 36. What is the remainder when 143 is divided by n?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**3 + 107*o - 141\/5*o**2 + 1\/5*o**4 - 80 = 0. Calculate o.\nAnswer: -16, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2210 = -5770*z + 5855*z for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4426? (a) -1\/4 (b) 7 (c) 19 (d) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239 - 2*z**3 - 239.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-2) + -1 - -13. Suppose -9*f = -12*f + 9. Suppose -2*r - 2*i + 8 = 0, -5*r - 4*i + f*i + 12 = 0. Solve 0 = -3*h + k, 5*t - r*t = h + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1249 is divided by 120?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-6465018.\nAnswer: -19395054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, u: 12}. Give prob of sequence rur.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 42 = 3*q. Solve -5*o = 3*g + q + 3, -3*o - 8 = 4*g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25111*c**2*g**3 + 1209*c*g**2 + 2*g**3 wrt c?\nAnswer: -50222*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43639919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2622.134 millennia to centuries.\nAnswer: 26221.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 5*f + 4. Let m be c(5). Let n be m + -1*(-2 - -1). Let b be (-46)\/14 - -1*3. What is the second biggest value in b, -4, n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/129)*h*h\/h**(-3\/19) assuming h is positive.\nAnswer: h**(5251\/2451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 65, 116, 173, 230?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26121098 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424 is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 7)*(0 - 1 + 2)*(0*v**2 - v**2 + 4*v**2)*(-19*v + 49*v + 2 - 3).\nAnswer: -540*v**3 + 18*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28897 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -59128764, -59128767, -59128758, -59128731, -59128680, -59128599?\n\"Answer: i**3 - 10*i - 59128755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9604 + -9604.5947. What is f rounded to 2 dps?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yf when two letters picked without replacement from {f: 1, d: 7, x: 6, y: 3}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*s = 2. Let f(r) = r**2 - 2*r + 1. Let d be f(s). Solve d = y + 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25707430*j - 6877839 wrt j.\nAnswer: -25707430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 b, and 1 e when four letters picked without replacement from bddxeeedexdddbdeddyd?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1992 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*s**4 + 832101*s**3 + 124645*s**2 - 8*s - 1?\nAnswer: -96*s + 4992606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 29, 2, -3095, 5, -3 in increasing order.\nAnswer: -3095, -3, 1, 2, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -93, -683, -2217, -5157, -9965, -17103, -27033?\n\"Answer: -77*b**3 - 10*b**2 - 21*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (522\/40)\/3 + -4. Let n(j) be the second derivative of -q*j**5 + 7\/12*j**3 - 1\/6*j**4 - j + 1\/30*j**6 + 0 + 1\/12*j**7 + 1\/2*j**2. Solve n(p) = 0 for p.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 10*n + 7\/3*n**3 + 0 - 11\/2*n**2. Let u(k) = 9*k - 7. Calculate -5*p(y) + 8*u(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 4) to base 5.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -12 - (0 - 3 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 4 = -y, 3*y = -14*p + 11*p + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14089 = -808*r + 3585 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -446*m**2*n**3 - m**2*n + 459*m*n**3 - 2*m wrt m?\nAnswer: -892*n**3 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -26, 2, 0.3, -1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 6*f**2 + 33*f - 119. Is y(8) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/5)\/(1\/(-3)). Let c = 19\/10 + j. Suppose -32 = -4*i - 5*n, 3*i = -0*i + 3*n - 3. Put i, 4, c in decreasing order.\nAnswer: 4, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.8 (b) 5 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8001, -7983, -7963, -7941?\n\"Answer: i**2 + 15*i - 8017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1607193*i**2 - 12*i**3 - 1607193*i**2.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -83*b + 83*b - 2*g - 4, 0 = -6*b - 16*g + 28 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11801?\nAnswer: 11801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37 plus -2.948?\nAnswer: -2.578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 + 0.7. Let p(m) = -2*m + 4. Let t be p(7). Let l be ((-4)\/t)\/((-33)\/(-15)). Which is the second smallest value? (a) 4 (b) l (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(1 + -31) + (-28 - 14)\/14. Suppose -5*x + 3*l + 177 = 0, 0 = -4*x + 3*x + 4*l + 32. Calculate the greatest common factor of x and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -420035 (base 9) to base 3\nAnswer: -110200001012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 + -8. Let r = t - 15. Calculate the least common multiple of 17 and r.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2795*t**2 + 78*t - 39. Let b(f) = 147*f**2 + 4*f - 2. What is 39*b(v) - 2*d(v)?\nAnswer: 143*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*q - 18 = -63*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -65 (base 16) to base 3\nAnswer: -10202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 11*k - 22. Is i(10) a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -32?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3957?\nAnswer: 3, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-196)\/(-12) - 1\/3. Suppose -z*r + 11*r + 10 = 0. Find the second derivative of 2*q + 4*q**r - 6*q**2 - 17*q wrt q.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3 = -2*k. Let s = 5 - k. Let z = 19 - s. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 24 = c. Suppose -c = -l - 4. Suppose -5*d - 4*r + 66 = -30, -2*d + 39 = r. Calculate the greatest common factor of l and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c + 3. Let b be 65\/(-2)*(-4 - -1)*2. Let i = -193 + b. Let g(r) = r - 1. Calculate i*o(q) + 4*g(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -60413, -60502, -60591, -60680, -60769, -60858?\n\"Answer: -89*h - 60324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.79 - -1.\nAnswer: 5.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1910921877?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 615163 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18, 7, -36, -123, -266, -477, -768?\n\"Answer: -2*w**3 - 4*w**2 + 15*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r + r**3 - 4*r**2 + 4*r**2 - 4*r**2 - 6. Let b be (-138)\/(-161)*(2 - 40\/6). Let t(o) = -5*o - 15. Let k be t(b). Give n(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**5 - 25*i**4 + 216*i**3 - 704*i**2 + 512*i = 0.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.31509 to 3 decimal places.\nAnswer: -0.315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -231*h + 306*h + 2175. Suppose 4*d - 8 - 8 = 0. Put -3, h, d, 1 in ascending order.\nAnswer: h, -3, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**5 - 8*n**4 + 14*n**3 + 44*n**2 - 48*n = 0.\nAnswer: -4, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1421*i**4 + 1801*i?\nAnswer: 17052*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 2:39 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 173 or -1106?\nAnswer: 173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1230*i + 10 = -2*o + 1227*i, 0 = -3*o - 17*i - 90 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31900 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1d7d28 (base 15) to base 13\nAnswer: -3b73b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.04, 0, 0.1, 1\/4, 825, -0.026?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 304011420 - -11?\nAnswer: 304011431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -4*n**3\/3 + 5*n**2\/2 + 2*n + 599. Let y(f) = f. Give d(v) - 4*y(v).\nAnswer: -4*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-282)\/5*(118925\/3417 + -35) + 11*-1.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 24. Let p be d(-20). Suppose p*l = -n + 13, 5*l = 2*n + 2 + 11. Let f(a) = 2*a - 2. Determine f(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -461*u**3 + 6*u**2 - 6*u**2 + 1550*u**3 + 0*u**2.\nAnswer: 1089*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 90*(-33)\/(-59400)*-340\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 876571141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*u + 0 + 0*u)*(-2448 - 3687 - 292).\nAnswer: -12854*u + 12854","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, r: 1, u: 2, p: 1, t: 1, i: 2}. What is prob of picking 2 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -0.1 (c) 0.122 (d) -0.3 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b7 - -b318?\nAnswer: b402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4716661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/((m**1\/m)\/m))\/m)\/m)**(-2\/21)*m\/(m*m**(-6))*m*m**(-1\/3)*m assuming m is positive.\nAnswer: m**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2040\/45)\/(296\/222)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113, -492, -1137, -2048?\nAnswer: -3225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-1386)*63\/27?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-10))\/((-498)\/9960)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u - 1. Let d be g(-5). Suppose -5*a + a = 28. Let j = d + a. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 2)*(-4*y + 0*y + y)*(-3 + 6 - 1 - 3 + 7 + 9 + (4 + 0 - 6)*(-3 + 2 + 0)).\nAnswer: -153*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 458 - 455. Let q = -7 - -10. Suppose -171 = -4*m - t*b, -q*m = -m - 4*b - 102. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111000001 + -1?\nAnswer: -111000002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-56))\/(147\/(-36) + 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30590?\nAnswer: 2, 5, 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/19))**(-33)*(t**(-5))**(-4\/15) assuming t is positive.\nAnswer: t**(-122\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194402 is divided by 1432?\nAnswer: 1082","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -366946, -1467711, -3302318, -5870767?\nAnswer: -9173058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -433303144 (base 5) in base 2?\nAnswer: -111000100100001101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 z, and 1 b when three letters picked without replacement from pzbaaaajpjapajjx.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 8*o - 11. Let d be r(-10). Let i(h) = 7*h**2 - 18*h - 14. Is i(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bf when two letters picked without replacement from {b: 5, f: 5, p: 2}?\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4\/11)\/x)\/(x\/x**(-6\/11))*x**(2\/5)\/((x\/(x*x**(1\/9)\/x))\/x))**(-2\/23) assuming x is positive.\nAnswer: x**(2374\/11385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-41)\/k*k*k*k*k**(1\/37)*((k*k**(-33)*k)\/k)\/k**(12\/13) assuming k is positive.\nAnswer: k**(-34582\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*w - 240 = 0, 0*a + 2*a - 2*w + 104 = 0. Let i = 201 + a. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 19. Let p = 6 - 2. Let x(d) = -d + 1 + 4*d - p*d + a. Give x(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 12 = 4*s. Let p = s + -6. 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 -5a75047 (base 11) in base 5?\nAnswer: -10201440013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 8*i = 8. Solve 5*t + 11 - 36 = -2*j, i*j = 5*t - 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 + 2 + 25*u**2.\nAnswer: 25*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 261253381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2)*(1 - -1). Let v(n) = -n. Let x(c) be the third derivative of c**4\/3 - c**3\/6 - 31*c**2. Let k(b) = o*x(b) - 4*v(b). What is k(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4134 + 12545*f - 14 - 3048 wrt f?\nAnswer: 12545","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 5675396*w + 5675400.\nAnswer: -4*(w - 1)*(w + 1418850)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31.24 - -31.2. Let d = -6.44 + g. Round d to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/3)\/u**3*(u*u*u**(-6)\/u)\/u**(-1\/3))\/(u**(-2\/13)\/u**(2\/7))**(-9) assuming u is positive.\nAnswer: u**(-1088\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 143\/(-13)*90\/(-66)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 8 = 2*y, 5*b - 3*y = -y - 16. Let o = -54020 - -54020.2. What is the nearest to -52 in 3, o, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 207 (base 13) to base 8.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11 + -18 + 235 + -9. Solve c - 261 = 7*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/450*-820 - -40)*(-18)\/16.\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -28, 4, -2\/3?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2130 divided by 17.\nAnswer: -2130\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**2*q**2*r*y + 11*b**2*q*y**2 + 18*b**2*r**2*y**2 + 5*b**2*y**2 - 9*q**3*r**2*y**2 + q**3*r wrt r.\nAnswer: 36*b**2*y**2 - 18*q**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*x + 1 + (-2*x - x + 5*x)*(-3 + 2 + 3) - 2*x + x - x - 3*x + 4*x - 2*x)*(-24 + 0 - 14).\nAnswer: 38*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384466?\nAnswer: 2, 192233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390 = 28*n + o, 7*o + 9*o - 108 = 8*n + 18*o for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.258 (b) -2\/15 (c) 0.1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/672 and -35\/9?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 4:04 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2363707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/3 + 2645*r**2 + 26425*r + 198125\/3.\nAnswer: (r + 5)**2*(r + 7925)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4736272669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30874 and 173462?\nAnswer: 62272858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.6326 to zero dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -18*z + 87. Give a(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -2*y**3 - 6*y**2 + 8. Let k(f) = -5*f**2 - 11*f - 1. Let r(a) = -5*k(a) + 4*w(a). Let j be r(-6). Is j != -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6570004 is divided by 39.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -7. Let u = p - 4. What is v in -6*v**3 - 2 - 4 + 3*v**u - 6*v**4 + 19*v**2 + 3*v - 7*v**2 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 106490?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-10) - 24\/(-20). What is the smallest value in -0.04, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*v**4 + 2*v - 2*v - 33*v**4 - v - 6 + 76*v**4 + v**3 in the form c*v**2 + b + q*v**4 + d*v + z*v**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2995.302367 to one dp.\nAnswer: -2995.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 545?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -16. Suppose 2*m - 3*m = 3*v - 8, -4 = -2*v - m. Let p = -9 - -8. Which is the nearest to -1? (a) s (b) v (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**0)**(-7)\/((c\/(c*c**(-2))*c)\/(c\/(c**(-1)*c)*c*c)))**(-31) assuming c is positive.\nAnswer: c**217","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 882323 >= 1\/57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 8 = -4*a - k, 0 = 4*a + 5*k + 32. Suppose -12 - 12 = 3*q. Let t = a - q. Solve 4*g - 18 = -5*p, -t*p = 4*g + g - 20 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 2\/47, -4 in ascending order.\nAnswer: -4, 2\/47, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 800, 1786, 2954, 4304, 5836, 7550, 9446?\nAnswer: 11524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 27*y**2 + 4*y + 16. Let s be p(-27). Let q = s - -95. Let t(x) = -9*x - 1. Let w(k) = -8*k - 1. Let n(f) = 3*t(f) - 4*w(f). Determine n(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -736 + 731. What is the third biggest value in h, 1\/18, -0.07, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.8 - 7. Let d = j + -3.8. Let h = 1 - 2. Which is the closest to -1? (a) h (b) d (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 41\/(-25 + 189) - (-3342)\/8. Is y not equal to 433?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -28*d + 22*d + 8 + 1 + 8*d**2 - 2. What are the prime factors of s(3)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + m + 1. Determine u(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(192) + -2*sqrt(192) + 1 + 5)**2*-5)*-5.\nAnswer: -2400*sqrt(3) + 5675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.076 and 70.0295.\nAnswer: -5.322242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 12:42 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1952806 * -0.069.\nAnswer: -134743.614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 348 = 6*o. List the prime factors of o.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2))**(-2\/55))**(3\/23) assuming i is positive.\nAnswer: i**(12\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*g - 13*g - 9*g + g**2 - 2*g**3 - 10*g + 43*g - 529 + 2*g**4 in the form w*g**4 + m*g**3 + u + z*g + y*g**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4887899 - -109.65\nAnswer: -4887789.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*f + 333*f - 57 = -3*d, f - 4 = -d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - o + 60 = -2*o, 0 = 3*b - 5*o + 60. Calculate the remainder when 25 is divided by (-238)\/(-26) + b\/130.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1559583004 to the nearest integer?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 10. Let f = 88.5 - 0.5. Let u = f + -82. Sort u, h, 2\/5, 3.\nAnswer: h, 2\/5, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from {c: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 6*r - 10)*(63*r - 124*r + 62*r + 32).\nAnswer: 6*r**2 + 192*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-93)\/(-155))\/(114\/1216)\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -1. Let s = -2\/17297 - 26239543\/51891. Let z = -506 - s. Sort j, z, -1, 0.1 in increasing order.\nAnswer: -1, z, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 834, 868, 900, 930, 958?\nAnswer: 984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 - 3 + 11)*(4*y - 6*y - y)*(15*y**2 + 36*y**2 + 29*y**2) to j*y**2 + w*y + f + m*y**3 and give m.\nAnswer: -5520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**2 - 2*m + 8*m**2 - 2051 - 2*m**2.\nAnswer: 6*m**2 - 2*m - 2051","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 161, 629, 1403, 2483?\n\"Answer: 153*f**2 + 9*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -5. Let g = 19 - 16. Let x = h + g. Which is the nearest to 2? (a) 0.5 (b) x (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (99\/(-18) - -4)\/(-4*1). Let q = -0.1 - -0.1. Which is the second biggest value? (a) q (b) -0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223420 (base 5) in base 9?\nAnswer: 11852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -e9?\nAnswer: ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 14*y - 26. Let i be p(-3). Let a(o) = -o - 142. Let n be a(0). Let l = i - n. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10124, 15039, 19954?\n\"Answer: 4915*f + 5209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*g**3 - 1782*g**2 - 2709972*g.\nAnswer: -132*g - 3564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -12. Let a = u + -9. Let r = a + 24. What is the remainder when 16 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1093\/127 or 1?\nAnswer: 1093\/127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5693397 rounded to 2 decimal places?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10333232113 (base 4) to base 6.\nAnswer: -44022531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613 is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73 + 108. Let p = -12 + l. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - 0.7. Let y = l + 0. Let o = 438 - 10076\/23. What is the nearest to y in -0.3, 0.1, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12540 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8599014, 8599048, 8599092, 8599152, 8599234, 8599344, 8599488, 8599672?\nAnswer: 8599902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*d**3 - 8832660*d + 793437139 wrt d?\nAnswer: 24*d**2 - 8832660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 461 = 823. What is the hundreds digit of 3*(-3 - ((-2)\/(-1) + w))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 - 2*h + 7. Let w(a) = -5*a**2 - 2*a + 14. Let b(g) = 7*f(g) - 3*w(g). Determine b(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 105*i**3 - i**2 - 14*i + 28. Calculate the remainder when u(2) is divided by 105.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 22. Suppose c = 5*h + h - 12. Solve t = -h - 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 0*a + 12 + a + 9 - 25. Suppose -5*o + 30 = 5*g, 0 = -g - 4*o + 6 + 6. Suppose 2*q - 30 = g*h, 45 = 5*q - 0*h - 4*h. Determine y(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16.5 and -4.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(3\/7)\/x)\/(x\/(x**(-12)\/x)*x))**(17\/5)\/(x**(-1\/13)*x*x\/((x\/((x\/(x\/(x\/x**(-1\/4))))\/x*x))\/x*x))**(-13\/2) assuming x is positive.\nAnswer: x**(-10869\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 62, 92, 122, 152?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1076?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98158809 by 14022687.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*x + 576 = 0, h + 2*x - 568 = -0*x. List the prime factors of h.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 6*p**2 - 5*p + 11. Let r be v(-4). Let f(l) = -17*l + 1. Let x(z) = -2*z**2 - z + 1. Let t(k) = r*f(k) + x(k). Let t(i) = 0. Calculate i.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20.7 + -21. What is the closest to 1\/12 in -3, -1\/2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.12 - 4. Let v = s - 1.52. Let o = 1.3999879 + v. Round o to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 4 + 0 + -3 + 25?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 2\/3 (c) 33 (d) -10\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 divided by -2?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2340, 2293, 2214, 2103, 1960, 1785, 1578?\nAnswer: 1339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-15))\/((-84)\/126))\/(-1)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**2 - 314*f. Let u(o) = -28*o**2 + 1701. Let n(t) = 7*t**2 - 405. Let l(q) = -21*n(q) - 5*u(q). Determine p(l(m)).\nAnswer: -98*m**4 + 2198*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0136386638 to four dps.\nAnswer: -0.0136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*y - 416 = -104. Solve -y*j - 27 + 55 = 4*m, -24 = -m - 5*j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -113*c**2 - 702*c - 14. Give l(-7).\nAnswer: -637","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -353 smaller than -353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 + 19*p + 40. Let d be o(-7). What is the second derivative of -574*q**3 - 2*q**5 - 49*q - 4*q**d + 571*q**3 wrt q?\nAnswer: -120*q**3 - 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51973.6 weeks to days.\nAnswer: 363815.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -113574638.86 - -113574562.86000099. Let y = d + 76. What is y rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 780, 24, -0.16, 44?\nAnswer: 780","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 782 and 92?\nAnswer: 1564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.67 + 18.37. Let i = z + -18. Put 2, -5, i in descending order.\nAnswer: 2, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 159 and 3445.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -24*u + 4. Let o be c(-6). Let k = o - -35. List the prime factors of k.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6468 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + 11 + (-1 - 1). Suppose -4*y = a*r, -16 = -y - 2*r + 5*r. Calculate the lowest common multiple of 1 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2. Let z = -4\/3 + 3. Let g(o) be the first derivative of z*o**3 - 1 + 0*o**2 + 0*o. Give p(g(s)).\nAnswer: -50*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -671*r - 693 = -200*r - 6816 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52839 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2293*r**4 + r**3 + 558*r**2 - 4*r wrt r?\nAnswer: -55032*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -6*m**3 + 11*m - 26. Let o = -8 - -4. Let c(z) = -2*z**3 + 4*z - 9. Let g(a) = o*r(a) + 11*c(a). What is the derivative of g(d) wrt d?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -5, 453 in increasing order.\nAnswer: -5, 1, 3, 453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.35699653 + -0.357. What is t rounded to seven decimal places?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40955 divided by -5?\nAnswer: -8191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-690)\/(-552))\/(255\/12)\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 98342*h**2 - 1107*h + 6 wrt h.\nAnswer: 196684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0433 + 3.8733. Let g = w + 1.17. Let d = 0.01 - 0.41. What is the closest to -2\/9 in g, d, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 4:59 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 54*s**2 + 52*s + 54. Let p be q(53). Put -46, -4, p, -3 in descending order.\nAnswer: p, -3, -4, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 9) + -9 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 780 is divided by 112.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*k - 4. Suppose -a = -4*l + k*a + 15, 0 = 2*l - 3*a - 15. Solve l = -i - 0 + 1, -3*f - 19 = -4*i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + -3*(1 + 1*sqrt(931) - (sqrt(931) + sqrt(931)*-2 + -3))*-1)**2.\nAnswer: -134260 - 2352*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33205 divided by -46?\nAnswer: -33205\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -7. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/445 and -103\/210?\nAnswer: 18690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -v**5 - 3230*v**4 + 3448*v**2 + 55*v - 2 wrt v?\nAnswer: -60*v**2 - 77520*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(1\/10))\/(s*s**(1\/2)\/s)*(s**(2\/3))**23)**1)**37 assuming s is positive.\nAnswer: s**(8732\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10120210020 (base 3) to base 12.\nAnswer: -349b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7\/3, 0.02, 496157?\nAnswer: 496157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.9 - 17. Let k = y + 2.1. Suppose -2*x + 17 = 5*c, -4*c + 0*c + 40 = -5*x. Sort c, k, -0.1.\nAnswer: k, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 5:27 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 - d**5 + d**2 + (2*d**3 - 1 + 1)*(-2*d + 2*d - d**2) + 6*d**5 + 9*d**5 + 5*d**5 + 15*d**5 - 63*d**5 - 49*d**5.\nAnswer: -80*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 202 + 92. What is the tens digit of (-10 + 100\/30)\/((-4)\/j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nzkppznozztptokzzk. What is prob of sequence zokn?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -370*c**3 + 41*c**2 - 15*c - 45. Let m(l) = 53*l**3 - 6*l**2 + 2*l + 6. Give 2*k(o) + 15*m(o).\nAnswer: 55*o**3 - 8*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.9 + 22.1. Let h = 28 - f. Which is the nearest to -0.2? (a) 3\/4 (b) h (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 2\/7, 4, 45, -6.\nAnswer: -6, 2\/7, 3\/8, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeejgbbiicic. Give prob of sequence ieib.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/(-5) - (-23 - 132). Which is smaller: g or 168?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*c + 7*c - 7*c)*(2*c + 0*c - c)*(6 - 2 + 0) to the form h*c**2 + a + b*c and give h.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 920422\/5 - 183081. Let f = n + -997. What is the common denominator of 71\/35 and f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbtr when four letters picked without replacement from {b: 1, c: 2, r: 6, t: 2}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2. Suppose 0 = -4*j - 2*n + 64, 3*j + n + n - 48 = 0. Let b(y) = j*y**2 - 5 + 17*y**2 + 5. Calculate b(v(m)).\nAnswer: 132*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from rvrrwwr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25278099194 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 173c (base 15) to base 4\nAnswer: 1032033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -17\/23 and -9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324)*4 + (sqrt(360) + (sqrt(360) - (sqrt(360) + (sqrt(360) - sqrt(360)*2))))\/sqrt(10))\/(sqrt(24)\/sqrt(3200)).\nAnswer: 560*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211001100 (base 3) in base 12?\nAnswer: 18839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1754 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9673007 seconds in milliseconds?\nAnswer: 967.3007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/12 and 97\/560?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 341, 333, 323, 311, 297?\n\"Answer: -w**2 - 5*w + 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54.715 - 55. Let o = i - -0.098. What is o rounded to two decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3023031023 (base 4) in base 12?\nAnswer: 34180b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -1, 35\/9, -2\/11 in decreasing order.\nAnswer: 35\/9, 2\/3, -2\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -234, -204, -202, -240, -330, -484?\n\"Answer: -2*d**3 - 2*d**2 + 50*d - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 22*o**3 - 4*o**2 + 4*o + 5. Let c(i) = -111*i**3 + 21*i**2 - 20*i - 24. Give -2*c(x) - 11*s(x).\nAnswer: -20*x**3 + 2*x**2 - 4*x - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/21 + (-103)\/(-238). Let f = g + 6\/17. Is f at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -405 - -408.44. Let g = -3.34 + y. Let q = 7.06 - 7. Put q, g, 2 in decreasing order.\nAnswer: 2, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4349387 and 226625.\nAnswer: 1813","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2300*p = 1145*p - 1930*p + 86369 - 30839 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -4*b + 52, -5*b + 14 + 33 = -2*h. Let d be (11 - b)*(-2)\/8. Solve -2*r + 6*r + 16 = d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 136 - (180 + -41 + -61)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 20*h + 36. Let w be y(-9). Let j = w - -68. Solve 3*n - j = -g, -2*g - 3*n + 13 = -3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10.0697 and -232.\nAnswer: -2336.1704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00118888557 rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2 - 8*v - 1. Let u(i) = -i**2 + 1. Let c(k) = -t(k) + 3*u(k). Calculate c(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 7*y**4 - 31*y**2 + 11*y. Let p(a) = 2*a**4 - 8*a**2 + 3*a. Let o(x) = -6*f(x) + 22*p(x). What is the third derivative of o(d) wrt d?\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1421483 and 427.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 220 divide 16940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 239.9 + -257. Let r = q - -17.10000076. Round r to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 25 = -3*i - 4*w, -4*i - 2*w + 36 = 0. Suppose -3*o = i - 10. Let y(v) = -v**2 - v + 7. Give y(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*j - 70 = 64*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 25860000 to the nearest one million.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 9. Let g be m(6). Suppose 5*u - 2*u + g = 0. What is the nearest to 3 in 0, u, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 86 * -14607.\nAnswer: -1256202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -18, -0.08, 41\/24?\nAnswer: 41\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1371577223 to the nearest integer?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*(-14)\/3500*24)\/(6\/30).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 6 = t, -31 = -2*t - k - 36 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01683 - 0.04474. What is q rounded to 3 dps?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.79 - 11.5. Let q = k - 0.19. What is the closest to 3 in 13, q, -6\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415 is divided by 83.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.27 - -12.77. Let h = -19.2 + w. Let k = 7 + h. What is the third smallest value in k, 1\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, m: 1, o: 1, y: 6, c: 3, h: 6}. Give prob of picking 1 o, 1 h, and 1 c.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/(-12))\/((-54)\/16 + 3). Let t be 1\/((-16)\/28 + f\/28). Let k be 2*t*(30\/(-4) + 4). What is the greatest common divisor of k and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 186 + -174. Suppose 0 = 4*n + 3*v, -8*v = n - 3*v + 17. Suppose -n*i + 42 - 6 = 0. What is the greatest common factor of i and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 + 31.5. Let l = 0.21 + -0.11. Which is the third biggest value? (a) l (b) -3\/8 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21796, -21810, -21830, -21856?\n\"Answer: -3*n**2 - 5*n - 21788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -1 + 7*w**3 + 3 - 2*w**2 - 1. Let v be m(1). What is the third derivative of x**2 + x**v + 3*x**6 - x**6 wrt x?\nAnswer: 360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - v - 1. Let w(q) = q**3 - 6*q**2 - q + 2. Let l(j) = -r(j) + w(j). Let o(t) = t**3 + t**3 + 6*t**2 - 3*t**3 - 4. Calculate -5*l(s) - 4*o(s).\nAnswer: -s**3 + s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -877, -1318, -1757, -2194?\nAnswer: -2629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 2. Let h**3 + 2*h**4 + 0*h**4 - 3*h**3 - 2*h**u + 0*h**2 + 2*h**5 = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21720938*c*q**3 + 426540461*c - 6*q**3 wrt q?\nAnswer: -65162814*c*q**2 - 18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4124023433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 55.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 5*c = 1860. Let n be c\/48 - 2\/(-8). Let a(x) = -12*x + n*x + 9*x. Let k(y) = -4*y. Give -2*a(h) - 3*k(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 502.056km to micrometers.\nAnswer: 502056000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5493675 to 3 dps.\nAnswer: 0.549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 48 = 2*t. Suppose t = -3*s - s. Let w(v) = 6*v**2 + 15*v + 9. Let y be w(s). Calculate the highest common factor of 15 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3199*l - 1721 = 30269. Suppose -2*i - 10 = -b - 0, 4*b - 4*i - 56 = 0. Calculate the smallest common multiple of l and b\/4*2\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microsecond in nanoseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -2 - 1 - 3) + 1 + -3\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(832)*-2 - (sqrt(832) - (sqrt(832) - 3*sqrt(832)))*-4)**2 + 3)*-6.\nAnswer: -1277970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17195 and 285?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*i - 26 = i, 10 = -5*i. Let h be 1\/(18\/14 + j\/21). Sort h, -5, 8.\nAnswer: -5, h, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14a66 - 78?\nAnswer: -15033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2 = -13. Suppose -5*d = -4*d - x. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21999490 rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 26 = 4*s, 0 = 3*t - 5*s + s - 29. Suppose 4*c - 26 = -t*m, -2*c + 5 + 9 = m. Let z be 1*6 - 1\/(-1). Which is bigger: z or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 589186\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*w + 8*w + 21*w + 2*w + 12*w.\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-2 + 0) + -4. Let t be (-9 - -4)*4\/110. Which is greater: b or t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 54067371?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1315, 2692, 4069, 5446, 6823, 8200?\nAnswer: 9577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40999217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 + 3*l**2 + 5*l**2 + (1 - 1 - l)*(-2*l - 3*l + 3*l) + 63*l - 63*l + 41*l**2.\nAnswer: 50*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84268.\nAnswer: 2, 21067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**2 + 0*t**2 - 4*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**3 - x**2 + 2*x - 2. Let z(t) = 3*t**3 + t - 2. Let p(f) = 4*y(f) - 5*z(f). Let v be p(2). Are v and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10680)\/(-712)*(4\/(-6))\/(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 3 (b) -3\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27*b**3*p - 4*b**2*p - 4578*b*p + 527370*p wrt b?\nAnswer: -81*b**2*p - 8*b*p - 4578*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.87042497 rounded to two dps?\nAnswer: -12.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7750\/200*7\/(-350) and 62\/(-5)*9\/120?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a99 (base 15) in base 5?\nAnswer: 1002034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 13*q - q**2 - 9*q + 4*q. Let k be l(8). Solve k = -5*y - 0 + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 3*q**2 - q**2)*(219*q + 2 - 287*q - 459*q).\nAnswer: -1581*q**3 + 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-1 + sqrt(5))*3)**2.\nAnswer: -18*sqrt(5) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from {j: 3, n: 1, z: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/19)\/(h*h**(1\/3)*h))\/(h**3*h*h\/(h\/(h**(-7)*h))*h) assuming h is positive.\nAnswer: h**(-82\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 95 = 0, 3*x + 4*x - c = 2*x + 44 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 46 + 50 - 96 + 2*j. Let o(z) = -14*z**2. Determine l(o(t)).\nAnswer: -28*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5898 times -0.1\nAnswer: 589.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 75*z**5 + 3*z**4 - z**3 + 2153*z**2?\nAnswer: 4500*z**2 + 72*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 13*g**3 - g**2 - 1. Let y(s) = 5*s**4 + 78*s**3 - 19*s**2 + 86*s - 8. Let d(x) = -6*c(x) + y(x). What is the second derivative of d(l) wrt l?\nAnswer: 60*l**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -1, -10 in ascending order.\nAnswer: -10, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*u = u. Let h(d) be the first derivative of -1\/6*d**6 - 1\/3*d**3 + 0*d**5 + 2 + 0*d**4 + u*d**2 + 0*d. Find the third derivative of h(y) wrt y.\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 8 = 4*g - 5*a - 14, 3*a - 382 = 133*g + 2*a for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 153, 5, 0.04 in ascending order.\nAnswer: 0.04, 5, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36984 and 9272358?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 511369\/56 - 9132. Let m = z + 1\/8. Let n = -22 - -20.2. Which is the third biggest value? (a) m (b) n (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 0*l**3 - 7\/60*l**5 + 0*l**6 + 0*l + 0*l**4 + 21*l**2 + 11\/105*l**7 + 0. Find the third derivative of k(d) wrt d.\nAnswer: 528*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1116*l**5 - 602 - 589 + 1191)*(-4 + 0 + 1)*(-4 + 2 + 1).\nAnswer: 3348*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39081947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 38895, 77882, 116895, 155940, 195023, 234150, 273327, 312560?\n\"Answer: c**3 + 7*c**2 + 38959*c - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - i - i)*(-6 - 8 - 3).\nAnswer: -34*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 2:56 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1193856 to the power of 1\/2, to the nearest integer?\nAnswer: 1093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 3*l - 270, 4*v + v + 4*l - 455 = 0. Calculate the highest common factor of v and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/11526 and -16\/41841?\nAnswer: 160753122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (44\/(-12) - -3)*-489. Suppose -5*v + 6*v - 103 = 2*m, 3*v - m = g. Calculate the greatest common divisor of 148 and v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 5*m + 12, -4*w - m = 7 + 5. What is the tens digit of (-36 - 4\/w)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*k**(-3\/7)*k)\/k))**(-24))**(26\/7) assuming k is positive.\nAnswer: k**(-1872\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -147*a**4\/4 + 2*a**3\/3 + 484*a - 807. Differentiate g(c) wrt c.\nAnswer: -441*c**2 + 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -325 + 84?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + y - 224 = -231, -5*g - 5*y = 65 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 91\/9?\nAnswer: 91\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/4)*v*v*v\/v**1)**(-2\/17) assuming v is positive.\nAnswer: v**(-9\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -103494.3 + 97772. Round j to the nearest 10.\nAnswer: -5720","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 84\/14 - -11\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7 - 0 - 3630\/605. Let j(k) = -18*k - 211. What is j(c)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1\/371928 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5\/203 + 34\/203. Which is the nearest to 0.1? (a) 4\/11 (b) r (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3547320.275837 - -3551909.278. Let u = s + -4589. Round u to four dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/5 - 22872*w**2\/5 - 45752*w\/5.\nAnswer: 2*w*(w - 11438)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4 + 1. Solve 4*i = 4*y - 2 + 14, o*y = -3*i - 15 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(192) + -5 + -1 + 1*sqrt(192) + (sqrt(192) + 1 + sqrt(192))*-3 + -3.\nAnswer: -32*sqrt(3) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 5)*(-6 + 6 - 5*b) - 1 + 2*b + 1.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45364571 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -2. Let x(v) = -4*v - 4*v + v**3 - 8 - 2*v**2 - v**2 - 7*v**2. Let r be x(11). Calculate the highest common divisor of r and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/6765494 and 23\/14?\nAnswer: 47358458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-18)\/2430*(-5)\/(100\/(-888)) and 21\/275.\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (28 + 9 + -4 + 1) - -3?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-164)\/(-72) + -3)\/((-2)\/(-2468)). Let m(b) = -b**3 + b + 889. Let k be m(0). Let z = w + k. Which is smaller: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 + d7?\nAnswer: df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*t - 3*c - 90, 2*c - 30 = -t. Let y be 1\/1 - t\/14. Are -1 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 4:39 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -7. Suppose 2*q - 3 = i. Is (q - 1) + 8 - 3 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216 + 427 - 211 - 4*s + s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232*o - 4 + 0 + 1.\nAnswer: 232*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 3*r**5\/4 - r**4\/3 + 7*r**3\/3 + 14*r**2. Suppose -3*a + 72 = -a. Calculate the remainder when b(2) is divided by a.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 2*c - 0*c - b, 4*c - 100 = 4*b. Suppose 4*y - 3*s = 192, y + 3*s - c = -2*s. What is the highest common factor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 337080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193 - 194 + 2*l**2 + 3*l**2 + 576 - 4*l**2 - 190.\nAnswer: l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26406?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -10*q**2. Let r(g) be the second derivative of 27*g**4 + 2*g + 387. Calculate r(b(a)).\nAnswer: 32400*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -20*v**2 - v + 4. Let p be c(-4). Let t be (2\/4)\/((-12)\/p). Let x(b) = t - 9*b - 13. Let m(k) = -2*k. What is x(m(d))?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(6)\/sqrt(3)) + sqrt(28) + (4 + 1 + sqrt(28))**2 + sqrt(28) + (sqrt(56)\/sqrt(2) - sqrt(7) - (sqrt(847) + -1 + sqrt(847)))**2 + 1)*3.\nAnswer: -48*sqrt(7) + 9426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 1 = 3*s - 0, 3*d = s + 4. Calculate the lowest common multiple of 4 and (-3 - -1)\/(d\/(-11)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 1 + 29. Suppose -2*p - p = -t. What is the third derivative of -4*r**p - r**2 + 3*r - 2*r**2 - 3*r wrt r?\nAnswer: -240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/8 + (-15)\/(-4). Solve -w**u + w - w**2 - w + 2*w**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4800*b + 13*b**2 - 4787*b - 4808*b + 14395*b - 6*b**2.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -14*a**2 + 7*a - 6. Let s be t(-7). Let f be s\/(-2) + (-45)\/30. Suppose f = 12*d - 1815. What are the prime factors of d?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.18 (b) -1\/8 (c) -2\/129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - m + 4. Let r be o(0). Suppose 0 = -13*a + 15*a - 96. Let y(f) = 2 + a*f**2 - 101*f**2 + f**3 + 48*f**2. What is y(r)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -3. Suppose 0 = -5*c + 8 + 2. Solve f = l, 0 = p + f - c*f for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.18 in -1\/6, 1, 664\/9, 2\/45?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 70 and 0.5.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47399\/7 + -6773. Which is the smallest value? (a) 12 (b) t (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 128*z - 1556. Give v(15).\nAnswer: 589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3369?\nAnswer: 3, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away -399?\nAnswer: 399.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 278150?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + w + 1 = -2*d, 3 = -d + 2*w. Let z(y) be the second derivative of 12*y**5\/5 + y**4\/6 + y**3\/3 - y**2 + 15*y. What are the prime factors of z(d)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*i + 19*i - 14*i**2 - 60*i + 16*i.\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 2075093?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.4 + 0.7. Let p = -0.7 - x. Let k = p - -0.6. What is the second biggest value in 2\/15, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2890\/1734)\/(10\/(-54)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u + 3. Let d(l) = 1. Let k(j) = -5*d(j) + r(j). Suppose 6*w - 9*w = 12. Let o(g) = -6*g - 5. Give w*o(c) + 11*k(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 49314667\nAnswer: -4931466.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**6\/40 - a**5\/15 - a**4\/12 - 31*a**3\/3 + 92*a**2. Is 3 a factor of m(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*b*m**2*n**3 + 619*b*m**2*n + 2*b*n + b + 176*m**2*n**3 - m**2*n wrt n.\nAnswer: 168*b*m**2*n + 1056*m**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 + -9. Let h = 409 - 269. What is the greatest common factor of h and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 129 + -127. Calculate the common denominator of (-76)\/8*-5 - (g + 2) and 95\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - r + 48 - 95 - 15, b - 15*r + 5*r + 10 = b for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 715 and 162565.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 6) + 9 - (5 + -5 + -3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -39186 < -39185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**3\/6 + 3*g. Let y(t) = -16*t**2. What is y(l(n))?\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmulmwuwm. Give prob of picking 2 u, 1 m, and 1 w.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/5712 and -16\/153.\nAnswer: 17136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-6)*-2*-15. Suppose -c - 1 = -4*n. Solve -h = -5*h + n for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 7. Let m(g) be the first derivative of -g**2 - 1\/3*g**j + 0*g - 1. Determine m(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38157285911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/43 + 41\/86. What is the common denominator of l and -11\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaz when three letters picked without replacement from {z: 1, u: 10, a: 6}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 > 84\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by 392109\nAnswer: -26\/392109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*-0.16\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1619 + 44*o - 1619)*(-8*o + o - o)*(-2*o + 4*o + 2*o) + (-2*o**2 + 1 - 1)*(2 - 2 + o).\nAnswer: -1410*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n - 12*n**2 + 4*n - 3*n to i + p*n**2 + u*n and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -300*t**2 - 7*t - 66. Let q(d) = d**2 - d - 3. Let s(w) = j(w) - 5*q(w). What is the second derivative of s(o) wrt o?\nAnswer: -610","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0 - -1) + 0 - -3) + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -258 + 257.5. Let v be (-16)\/20 + 1 + 0. What is the nearest to -0.1 in v, l, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*(r*r**(2\/3))\/r)\/r*r**(-2\/15)*(r**(-6\/5)\/r)\/(r\/r**(-1\/8)))**(-16) assuming r is positive.\nAnswer: r**(86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -703*b**3 - 699*b**3 + 2199*b**3 - 800*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**3\/9 + 128*y**2\/9 + 1498*y\/9 + 1372\/9 = 0.\nAnswer: -49, -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 494455 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*u - 49 = -7*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 330\/20 + (-343)\/(-126).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24.24 + -24. Let n = 0.04 - g. Let h = -2081\/11 + 189. What is the nearest to -0.1 in n, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*r**4 + 379*r**3 - 13*r**2 - 102*r.\nAnswer: 360*r + 2274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -12011 (base 3) to base 4\nAnswer: -2023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104 + 104 + 5231*n**3.\nAnswer: 5231*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 4 + 14. Let v = 7 - l. Let g = 0.9 - 1. Which is bigger: v or g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(847) + sqrt(847) + ((sqrt(7) + sqrt(252) + -1*sqrt(252))**2 - sqrt(7)).\nAnswer: 7 + 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n + 1. Let h(y) = -y - 1. Let j be h(-2). Let o be z(j). Is (12\/(-3) - 39)*o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -150010.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, i: 4, s: 1, a: 1, l: 1, h: 1}. What is prob of picking 2 i?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -0.1, 1\/7, 2, -1\/966?\nAnswer: -1\/966","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 3*k - 28. Let g be 1 - 1\/3*-3. Let a(i) = 4*i + 0*i - 5 - i**g + i + 3*i. What is a(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.094648ms to nanoseconds.\nAnswer: 8094648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3 - 29. Suppose -b + 3*b = 4. Suppose -s + 0*s - 8 = k, b*s - 75 = 5*k. Are j and k nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-72) + 187\/88.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3252 = -3*s - 3*r, -3*s + 5*r - 663 + 3899 = 0. Suppose -4*o + s = 2*t, 3*o + 1279 = 4*t - 885. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.3? (a) 0.5 (b) -5 (c) -151 (d) -0.3 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16\/9? (a) 5 (b) -0.05 (c) -83 (d) 0.4 (e) -57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40579*z**2 + 17*z + 81857*z**2 - 41272*z**2.\nAnswer: 6*z**2 + 17*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3*p + 39, -3*u - p - 3*p = -11. Calculate the remainder when 33 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -90*g**2*q**3*y + g**2*q*y**3 + 2*g*q**3*y**3 - 223*g + q**3 wrt g.\nAnswer: -180*q**3*y + 2*q*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = -j. Let x be 1*-6*2\/j. Suppose -x*m + 6*m = 94. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-50)\/(-6) + 6\/9. Suppose 4*o = l*o - 10. Calculate the remainder when 7*(1 - 0)*1 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 3*w - 4*w - 3*q - 11 - 25, 0 = -w - 8*q + 8 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(0 + 0\/(-4)). Suppose -5*i + 11 = 4*r, -4*r + 2*i - 10 = -b*i. What is the least common multiple of 28*((-1)\/r)\/2 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/10 in -85759, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/7)\/(k\/(((k**(-9)*k*k)\/k)\/k))*k**(1\/7)\/((k*k**(-6)*k)\/k) assuming k is positive.\nAnswer: k**(-33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 2:51 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 35*f - 198. Let x be t(-32). Let k(u) = u**2 + u + 5. Find the common denominator of k(6) and x\/60 - (48\/(-10) - -5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -427*v + 28843151 = 7762161. List the prime factors of v.\nAnswer: 2, 5, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5541049 + 165?\nAnswer: 5541214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -123, -51, 141, 513, 1125, 2037, 3309?\n\"Answer: 10*k**3 + 2*k - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2633549028?\nAnswer: 2, 3, 11, 1813739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -18. Let b be ((-3)\/(15\/(-20)))\/(q\/(-3)). What is the greatest common factor of 27 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-one fifths of a meter?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**4\/3 - a**3\/6 - 4*a - 3. Let j(p) be the first derivative of p**3\/3 + 9. Calculate l(j(x)).\nAnswer: 4*x**4 - x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/3*(-4)\/(-6). Let n = -704883\/19 - -37099. What is the closest to -3 in -2\/5, o, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3957778947 and -228.8.\nAnswer: -3957779175.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 + f + 1. Let l(a) = -2*a**3 + 25*a**2 - 12*a - 1. Let j be l(12). What is p(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.03 + 7. Let o = x + -0.04. Round o to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6*6*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.07 and -13569460.\nAnswer: -13569459.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*r - 2*r + 2*r)*(5 - 2 - 4) + r + 0*r + 0*r - 2*r + 12*r - 2*r)*(2 + 0 + 0 + (-4 + 2 + 0)*(3 - 1 - 1) + 1 - 2 + 4).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8127 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**7*i**10)\/(i*i\/i**(-3))**(-39))**(-39) assuming i is positive.\nAnswer: i**(-7761)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -4 (b) -0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5080072 is divided by 5080065.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -9, 4, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -901*z**3 + 6*z**2 + 24*z - 6. Let b(a) = -27931*a**3 + 187*a**2 + 748*a - 187. What is -6*b(c) + 187*m(c)?\nAnswer: -901*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -4*s + 2*i, s + 12 = -s + 3*i. Let t(f) = -f**3. Let m(l) = 14*l**3 + 2*l**2 - 2. Give s*t(h) - m(h).\nAnswer: -2*h**3 - 2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 - 9*x**2 - 123 + 123 + 6*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 2261.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m - 2. Let s be t(7). Let u be -4 - (3 + -6 + -26). Calculate the greatest common factor of s and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16610.6157353 + 0.42.\nAnswer: -16610.1957353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 367 = 4*h + 127. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h + 2. Let s(y) = -28*y - 170. Let k be s(-6). Let n(c) = 2*c + 7. Let i(z) = k*n(z) + 3*r(z). Calculate i(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*d - 4 + 1 + 14*d)*(-1 + 5 + 3).\nAnswer: 7*d - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 0*w + 0 - 1\/30*w**7 - 6*w**2 + 0*w**5 + 0*w**6 + 0*w**4 - 1\/3*w**3. Differentiate m(a) with respect to a.\nAnswer: -28*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -0.3 (c) -0.098532365\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + -2 + 98)*-1. Let i = g + 656. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3062*q**2 - 1 + 4812*q**2 + 3*q - 1294*q**2 - 11*q. Let m be b(4). Let l = -34247 + m. Round l to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -10*a**3 - 7*a**2 + 3*a + 5. Calculate x(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 0 + 0\/(-2). Let o = -955\/177 + -16\/59. Let p = o - -227\/39. What is the third smallest value in p, 0, k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4664, -18551, -41668, -74009, -115568?\nAnswer: -166339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + sqrt(1008))**2.\nAnswer: -6054 - 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 20 + 3 = f, 45 = 2*f - l. Suppose 88 = 24*a - f*a. Is a a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-6))**(-3\/34)*((t*(t*t**(3\/5))\/t)\/t*t)\/((t*t\/t**17*t)\/t))**(-9) assuming t is positive.\nAnswer: t**(-13104\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 242 + -117. Let z = -125.5 + x. Sort -0.1, 7, z, 1\/6 in descending order.\nAnswer: 7, 1\/6, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 2*r**2 + 0*r**2)*(-2 - 3 + 2)*(4*r**2 - 3*r**2 + 2*r**2).\nAnswer: -9*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50 - -20 - -8) + 43.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 235906500 rounded to the nearest one million?\nAnswer: 236000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -25 - 4*s**2 + 4*s + 2*s**3 + 10 - 3*s**3 + 13. Let t be n(-5). Solve t*g + 18 = -0*g + 3*y, -3*g - 2 = y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w - 5. Let f be a(6). What is the highest common factor of 57 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -57 - 7. Suppose -h*l = -6*l - 4. Find m such that 0 + 4\/3*m**l - 4\/3*m**4 + 0*m - 2\/3*m**5 + 2\/3*m**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1617 is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -42 (c) -9074 (d) -2\/7 (e) 3\/7 (f) 0 (g) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 727954823?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 881172 is divided by 293714.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*c = 66, g - 29*c - 23 = -33*c. What is the remainder when g is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aawe when four letters picked without replacement from naeweenanennennww.\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 550*a = 3*y + 1106*a - 552*a + 271, 55*y + 4*a + 115 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -48*y**3 - 2*y - 1. What are the prime factors of k(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 8:39 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.207 - -0.206334. What is t rounded to five decimal places?\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 + -18. Let n = i - 35.00000005. Round n to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t = 58431357 + 13664643. What is t rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -356, -719, -1102, -1505, -1928, -2371, -2834?\nAnswer: -3317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -17*x**3\/3 - 33*x**2\/2 + 8*x. Is r(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -5158800545\nAnswer: -5158800545.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*y = 32. Suppose -y = b - 3*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 687 = -714. Let m be (2*y\/36)\/(1\/(-4)). Factor 0 - 1\/4*o**4 + 0*o - 1\/4*o**3 + 1\/2*o**m.\nAnswer: -o**2*(o - 1)*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 + 4564\/189)\/((-4)\/15)*(-3)\/(-6).\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/((-4)\/(-107)) - 16\/(-8). Let d = -64 - i. Solve -46*y = -d*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*h**4\/9 + 24*h**3 + 122*h**2\/9 - 28*h\/3 = 0. What is h?\nAnswer: -21, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 + 0*u**2 + 0*u**2 + (7 - 8 + 6)*(3*u**2 - 4*u**2 - 10*u**2) + (3*u + 1 - 1)*(-2 + 2 - 2*u).\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide -2 - (30\/10)\/(2\/(-146))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -51. Let m(s) = s + 25. Give -3*d(w) - 7*m(w).\nAnswer: -7*w - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 + f**2. Let p be -15*(70\/(-21))\/(-10). Let r(v) = 19*v**3 - 26*v**2 + 2. Let a(o) = p*q(o) + r(o). Find the third derivative of a(z) wrt z.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1750.4 and -0.2.\nAnswer: -350.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -50.022631 and 4.\nAnswer: -46.022631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.5 times 10036542?\nAnswer: -75274065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/15)\/((-11)\/(-33)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42301324 to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-12 + (-2 - -13))\/5)\/((-13)\/(-10))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12609 = 15*c - 55956. Is 52 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-6 - (-3 - -2)) - -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -16\/2937?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from fzzzfzzzzzzzfzffzff.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b + 4 = 8*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, 0.5737212, 0 in increasing order.\nAnswer: -0.08, 0, 0.5737212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 8:54 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + (-7 - (41 + -18)) - -5\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3148 and 960?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12023 (base 4) to base 16.\nAnswer: -18b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 126.92 and 0.2.\nAnswer: 127.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*r + 2*r. Is 24*4*r\/(-32) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.9 + 1.9. Let d = l + 13. Let y = 463 + -464. Which is the closest to -2? (a) 4 (b) d (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*l + 132 - 132 + 0*l + 2*l - l + (-22*l - 27*l + 44*l)*(-2 + 1 + 2) + 0*l - 3*l + 0*l + 0*l + l + 2*l.\nAnswer: 22*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - -1) + (1 - 3). Suppose 0 = -3*w + 5 + 1. Suppose 0 = b - w + 1. Calculate the greatest common divisor of b and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(24\/13)*(-48 + 50).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t\/(t*t**(-3))*t*t)\/(t**(2\/19)\/t))\/(t**(6\/5)*t*t**(-4)*t*t))**(-48) assuming t is positive.\nAnswer: t**(-35088\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 25*m - 55. Let l be p(8). Suppose -5*s + 162*s**3 - 76*s**3 - l*s**3 = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - (-17)\/(-17) - -1*(2 - 1). Which is the closest to 1? (a) r (b) -6\/7 (c) 11\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v - 46. Let i be h(-17). Suppose -7*w + 4*c - 12 = -i*w, -3*w - c + 3 = 0. Let g be ((-6)\/(-33) - w)\/(-1). Which is greater: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16718154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2041 - 2040.6. What is the biggest value in p, 61, 0, 1?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -15. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -273 - -272. Round i to two dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26 - -55?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 33520 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-1))\/(24\/72). Put -1, -7, -4, k in increasing order.\nAnswer: -7, -4, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1747843, -1747832, -1747809, -1747768, -1747703, -1747608?\n\"Answer: v**3 + 4*v - 1747848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, j: 2, u: 8, y: 5}. What is prob of sequence qyyu?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -45*w**2 + 3*w - 88. Let u(b) = -b**2 + 1. Let c(p) = -m(p) + 5*u(p). Find the first derivative of c(z) wrt z.\nAnswer: 80*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267846 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.5 + -11.5. Let o = 11 + x. Let y = o - -3.9988. What is y rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in -0.2, -0.94586, 0.4?\nAnswer: -0.94586","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3 + n - 2*n - 3*n + 3*n**2. Suppose 0 = 2*k, 0 = -y + 2*y - 2*k - 16. Let l be 1\/(4\/y) - 2. Determine h(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -7. Put 0, j, -1 in descending order.\nAnswer: j, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 - 43. What is the smallest value in 1, w, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -21 + x + 19 + 0*x. Suppose 5*o = -5*s + 50, -3*o - 5 = 2*s - 6*s. Give u(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2\/9, -188, 3 in increasing order.\nAnswer: -188, 2\/9, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 l when four letters picked without replacement from gggwwlll.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 55*d + 16. What is the hundreds digit of v(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -0.688?\nAnswer: -0.2064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -12250404?\nAnswer: 12250412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 + -1487?\nAnswer: -1499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -196 + 201. Suppose 32 = d*h - 2*m - 0*m, h - 9 = 3*m. Let z(s) = -2*s**2 - 4*s + 2. Let g(l) = 2*l**2 + 3*l - 2. Determine h*g(o) + 5*z(o).\nAnswer: 2*o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -91, -152, -251, -388, -563?\n\"Answer: -19*v**2 - 4*v - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - d - 1. Let c(r) = -r**3 - 11*r**2 - 5*r - 2. Give c(a) - 5*f(a).\nAnswer: -a**3 - 6*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 222 and 2316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 23 = -2*t - 2*h, 0 = -5*t + 3*h - 57. Let b be (-1 - 0)\/((-6)\/t). Is -2 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8502 + 10416. Calculate the greatest common factor of v and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, q: 1, g: 1}. Give prob of picking 1 z and 1 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 307971 (base 10) to base 2\nAnswer: 1001011001100000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**4*o**2 + 44588*i**3*o**2 - 2*i*o + 61852*o**2 - 2 wrt i?\nAnswer: -24*i**2*o**2 + 267528*i*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-62)\/372)\/((-5)\/45*-6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 638 - 639.33. Let c = t - 4.73. Round c to 1 decimal place.\nAnswer: -6.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 - 7\/((-7)\/(-4)). Let p = 8 + s. What is the third smallest value in 1\/2, p, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3040037?\nAnswer: 7, 11, 13, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*0.0859.\nAnswer: -0.01718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5085592 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ogo when three letters picked without replacement from gggegegggeeggegogog.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y**3 - 2*y**2 + 2. Let k(q) = q**3 + q**2 - q. Determine a(p) + 2*k(p).\nAnswer: -3*p**3 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(143))\/(sqrt(275) - ((sqrt(275) + sqrt(275)*-1 + sqrt(275) - sqrt(275)) + sqrt(275) + sqrt(275))).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 475, 977, 1477, 1975, 2471, 2965?\nAnswer: 3457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 3. Let i be w(9). Suppose d + 2*d = -i. Let u be 6\/d*(-16)\/3. Solve -u = r + r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-five halves of a week?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j\/((j*j*j*j**43)\/j))))\/(j\/j**(-45)))\/(j**(-3)*j**39\/j) assuming j is positive.\nAnswer: j**(-125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1912569579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -33557 and -103.\nAnswer: -33660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 27\/8, -2, -2\/9, -2\/11, -7?\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and 13.\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.5 - 4.5. Sort h, -1, -4.\nAnswer: -4, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 131199350 to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4632574 - -431?\nAnswer: -4632143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16724 (base 14) to base 10.\nAnswer: 56284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/(-24)*-3*(-3)\/7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609 is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 27710, 27702, 27690, 27674?\n\"Answer: -2*h**2 - 2*h + 27714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -118403\/26540 + 15\/1327. Let f = 359979761283\/182650590368 + -10384\/4490819. Let b = 1\/5084 + f. Calculate the common denominator of p and b.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(1\/3)*w)\/w*w*w)**(-26)\/(w**(2\/15)*w**(-1\/3)) assuming w is positive.\nAnswer: w**(-1297\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -22*o**3\/3 - 82530. Let z(d) be the second derivative of 0*d**2 - 1\/6*d**4 + 0*d**3 + 0 + d. Give u(z(j)).\nAnswer: -88*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 2, -691.3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 - 435*s - 440.\nAnswer: 5*(s - 88)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 39*a + 277. Determine k(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-10) + (-1 - -2). Let w(b) = -7*b - 271. Let c be w(-39). Are x and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 7*v**2 + 11*v. Let t be i(5). Solve 0 = 5*a - t*p + 35, -3*a - 1 + 0 = p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(4 + (2*(sqrt(1088) + (sqrt(1088) - 1*sqrt(1088))) + sqrt(1088) + sqrt(1088))*5*-1))**2.\nAnswer: -32000*sqrt(17) + 10880400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, x: 2, a: 9, t: 2}. Give prob of sequence uxtt.\nAnswer: 1\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 3*g - 2, -22*z - 3*g = -z - 19*z + 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 339*g + 117*g + 31*g as q + l*g and give l.\nAnswer: 487","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - 35. Let r = x + 57. Let h = r + 67. Calculate the highest common divisor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2957250 by -2957250.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104 - -101 - 6*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100011220331 - -103?\nAnswer: 100011221100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1373 + 1379. Solve -2*d + 5 + 2 = -r, 3*d + b = -4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 298 = 5*k. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 366.5647 years to decades.\nAnswer: 36.65647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d + 5*d**2)*(-66 + 126 - 66)*(-2*d + 2*d + 2*d + (1 - 5 + 8)*(0 + 0 + d) + d + 0*d - 2*d)*(-1 + 5 - 3).\nAnswer: -150*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15060.\nAnswer: 2, 3, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 723615 is divided by 19?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 9*r + 12. Let w = -43 - -52. What is the lowest common multiple of k(w) and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 5*d + 13, 556*d + 17 = -3*p + 560*d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 11:41 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*sqrt(1900) + (sqrt(1900) - (-1*sqrt(1900)*1)**2) + -1.\nAnswer: -1901 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*u**2 + 31*u**2 + 42*u**2 + 4*u**2 in the form m*u**2 + i + w*u and give m.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(13) + sqrt(52))*-4 + (-2*sqrt(143)*-2)\/sqrt(11))*-1 + 5)**2.\nAnswer: -280*sqrt(13) + 10217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -4, 6, 4\/5, -10?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -3\/5*p**5 - 33\/5*p**2 + 9\/5*p**4 + 21\/5*p**3 - 18\/5*p + 24\/5 = 0?\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -6680*r + 15. Let l(a) = -1. Let z(g) = 15*l(g) + n(g). Let b be z(-1). Suppose -4*x + 2*w + b = 0, w = -2*x + 5460 - 2116. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*i - 58*i = 20 - 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + x = -x + 6, -3*x = -2*w + 6. Suppose n - w*g = 232, -1120 = 3*n - 8*n + 5*g. Calculate the highest common factor of n and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.97 + -5. Let h = 11 + -10. Let n = -0.8 + h. Which is the nearest to x? (a) n (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2692 + 3059. What is the remainder when z is divided by 168?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 87*g**4 + 14190*g**3 - 150000*g**2 - 181230*g - 17127 = 0. What is g?\nAnswer: -173, -1, -3\/29, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 2:58 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*x - 3*x = 0. Suppose 2*l + b - 2 = -0*l, -5*l + 2 = 4*b. Put x, l, -1, -2 in increasing order.\nAnswer: -2, -1, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 * -0.21\nAnswer: 3.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -1 + 3 - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/9 + 19\/3 + -4. Suppose 3*u - 317 = -5*q, 8*u - t*q - 487 = 3*u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-30))\/(78\/52).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 7*t - 15. Determine n(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 35360.43925 to the nearest 10.\nAnswer: 35360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*a - a = -54, 156 = 3*g - 5*a. Let w = 5 + 25. What is the remainder when g is divided by w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4 = z + 3*z, 0 = -4*i + 4*z. Suppose 0 = -t - t + a + 23, 45 = i*t - 3*a. Is 4\/(-16) - (-11067)\/t - -1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 765\/7 - 109. Does -1 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 2*z + 2*z)*(1 - 5 + 0)*(4*z - 3*z + 0*z).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 12:29 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1702170191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g**2. Let j(i) = -36346*i**2. Give j(y(w)).\nAnswer: -908650*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 439804\/5 or 87960?\nAnswer: 87960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -1246*g + 1243*g - 2*m, -g + 139 = -0*m - 5*m + 31 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 1156 (c) 2\/11 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, h: 6, l: 8}. Give prob of sequence lla.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -4*s + p, -3*s - p - 8 - 10 = 0. Let k(q) = q**3 + 5*q**2 + q + 4. What is k(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 266019126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 132799 to the power of 1\/2, to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -9. Let g be (20\/k)\/((-2)\/4). Suppose -5*f - 8 = -3, -g*p + 4*f = -459. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 8. Let m be (-4)\/6 + (-48)\/(-18) + 6. Suppose -m = -2*d - q - 0, -2*d = 4*q - 14. What is the closest to d in -4, r, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2470 and 975.\nAnswer: 37050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 63277719 less than 63277719?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (-9 + 6)) + (2 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*z + 1987 - 7748 = 0, -5*z = -d + 1917. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 3*t - 4*t + 3*t.\nAnswer: -4*t + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2055536?\nAnswer: 2, 7, 18353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 156959507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3282393, 6564801, 9847217, 13129641?\n\"Answer: 4*h**2 + 3282396*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44266 = 2*u - 5*c, -2409*u + 3*c = -2405*u - 88546. What is the ten thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.9, -2\/1599, 353?\nAnswer: 353","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -10759.6478?\nAnswer: 10759.1478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24553215.\nAnswer: 3, 5, 43, 12689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -174 + 296. Suppose -4*f + 23 = k, 6*k - 2*k - t = -f. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -819 + 829. What is the least common multiple of k and 2166?\nAnswer: 10830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*w - 2*r = 245*w + 15, -w - 5*r = -30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d - 144. Suppose -5*o + 17 = 202. Let l be b(o). Solve 23 = -6*m + l*m - 5*p, 0 = -5*m - p for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 870 and 2436?\nAnswer: 12180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y**5\/2 + 39*y**4\/2 - 33*y**3\/2 - 39*y**2\/2 + 9*y = 0. Calculate y.\nAnswer: -3, -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v**2 - 1871*v + 11378. Determine x(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 20\/9, -1, -80, -12, -0.5 in decreasing order.\nAnswer: 4, 20\/9, -0.5, -1, -12, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lfllflllflbllll. Give prob of picking 1 b and 2 f.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -52 + 5 + 2*k + 209 + 169. Is a(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n - 2*n - 2*n + (2*n + 0*n - 3*n)*(2 - 2 + 3) + 19*n + 22*n - 9*n.\nAnswer: 27*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*t = 310 + 422, 5*s + 4*t - 668 = 0. Solve -198*b = -178*b + s for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200101000 (base 3) in base 12?\nAnswer: 17183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*x**3\/5 - 3*x**2\/2 - x\/10.\nAnswer: x*(x - 1)*(16*x + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10\/3671 - -327019\/110130. What is the common denominator of 46\/99 and w?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 11:47 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24 - 2ab92?\nAnswer: -2abb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -183, -360, -537?\n\"Answer: -177*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6960 less than 99.47489652?\nAnswer: 7059.47489652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 88*w**2 - 15*w - 9. Let t be p(-5). Suppose 0 = 15*c + 331 - t. What are the prime factors of c?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/23119 - -3213553\/277428. Find the common denominator of 85\/24 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -16*y - 5. Let p be q(-3). Let o = p - 38. Suppose -5*u + 519 = -4*w, w - o*w = 4. List the prime factors of u.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 447, 501, 563, 633?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222 + 0?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*s + 124046 = -70452, -4*w - 4*s + 388948 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2783 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/18)\/2*(-41)\/205?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**3 - 5*d**2 + 8*d + 5. Let z(y) = 4*y**3 + 9*y**2 - 16*y - 11. Let t(a) = 5*c(a) + 3*z(a). What is u in t(u) = 0?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2216*w**2 + 364*w**2 + 12 + 6.\nAnswer: 2580*w**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from lololo?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2294498 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12182582?\nAnswer: 2, 6091291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 3) to base 16\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.87194 rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x. Let o be -6*((-33)\/22 + (1 - -1)). Give k(o).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32*l**2*x**2 + l**2*x - 3068*l**2 + 27*l*x**2 - 1424*l*x wrt l.\nAnswer: -64*x**2 + 2*x - 6136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4500.69 to the nearest ten.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -49\/5938?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2 - 7 - c + c**2 + 4 - 2*c**2. Let h(b) = b - 1. Let x be h(-2). Let t(r) = -r - 1. Determine x*w(k) + 3*t(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**5\/20 + u**4\/2 - u**3 + u**2\/2 - 8*u. Suppose 0 = 3*n, 3*n - 12 = -4*d + 8. What is t(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1019*m**3 + 28 - 56 + 1017*m**3 + 28.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-4)*(-15)\/(-315)*-12.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -295\/3? (a) 3 (b) 2 (c) -0.04 (d) 1 (e) -6 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1548147431.8827+-2.1\nAnswer: -1548147433.9827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 15539761*r**3 + 4317*r**2 + 8634*r + 12951. Let y(s) = -7201*s**3 - 2*s**2 - 4*s - 6. What is -2*v(w) - 4317*y(w)?\nAnswer: 7195*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 505745596.47.\nAnswer: -505745593.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 150 = 5*o + 129, -i - o + 261 = 0. Suppose 2*r + 2*d = r + 19, -2*r + 3*d + 3 = 0. What are the prime factors of i\/10 + r\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 95, 158, 241, 350, 491, 670, 893?\nAnswer: 1166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -6860*a - 871217. Give i(-127).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/63)\/(-10)*(-9)\/(-6)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) 1\/5 (c) -5 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/21 and 319\/77*2\/(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from lyrlrrlyrlrlr.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 10*a**2 - 17*a + 6. Calculate d(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -2*d - 3*r + 4, r = -d + 4. Suppose s = -0*s - 3*c + 8, -5*c + d = -s. Solve 0 = 4*i + 4*k - 4 - 12, 27 = -s*i + 5*k for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21178566*p**3 + 35705261*p**2.\nAnswer: -127071396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -2332?\nAnswer: -2334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 7:51 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*d = 0. Suppose d = 5*a - a - 164. Suppose -25 - a = -3*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: Let s be ((-41)\/(-30) - 0) + (-6)\/4. Which is the fourth biggest value? (a) 1\/3 (b) 5 (c) s (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 597237 to the nearest integer?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/4 - (4 - 315\/(-12)). List the prime factors of s\/(-315) + (-5773)\/(-21).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -12 - 8, -4*u - 3*z = -35. Let b = 1.59315 + -0.09315. What is the closest to b in u, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -1 (c) 49 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/84 and -51\/3500.\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -5*a**4\/8 + a**3\/6 + 2*a**2. What is the tens digit of s(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -10*v**5\/11 - 632*v**4\/11 - 10356*v**3\/11 - 11656*v**2\/11 - 1922*v\/11 = 0.\nAnswer: -31, -1, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r + 14*r**2 - 8*r - 12*r**2 + r to the form h + u*r**2 + b*r and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 5*j + 375, -j - j = -2. Let r be (3\/3)\/(4 + t\/48). What is the tens digit of 29\/((-2)\/(-3) + (-13)\/r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w**4 + 10*w**2 - 5*w - 15. Let o(x) = -5*x**4 + x**3 + 11*x**2 - 5*x - 14. Let q(l) = -4*j(l) + 5*o(l). Find i such that q(i) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27679693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ykkkywkggq. What is prob of sequence yqgk?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -44c5 (base 13) in base 5?\nAnswer: -302000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 13*u**2 + 2*u - 1. Calculate the remainder when k(2) is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**3 - h**2 + 13*h**3 + 4587 - 5*h**3 - 16370.\nAnswer: h**3 - h**2 - 11783","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46982, 1, -25 in decreasing order.\nAnswer: 1, -25, -46982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 6*z - 7. Let n be a(7). Suppose -281 = -9*r - 776. Let j be 4\/r*6\/(-24)*30. Is n < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1617401 and 1373?\nAnswer: 1618774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(176) - sqrt(176)*-2) + sqrt(176) + sqrt(176) - sqrt(176)) + 4 + (-4 + sqrt(33)\/sqrt(3) - (sqrt(11) + (sqrt(121)*-2)\/sqrt(11))))**2.\nAnswer: 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -47?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.894 - 599.794. Let y = -599 - d. Which is bigger: 282 or y?\nAnswer: 282","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 292 - 312 = 0, -12 = -2*v - 4*b for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2088*m + 1049*m + 1043*m + 11. Let c(y) = -3*y + 1. Let g(b) = 4*b. Let k(f) = 6*c(f) + 5*g(f). Calculate 3*a(i) - 5*k(i).\nAnswer: 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + 2372\/8)*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -1. Let l = 153 - 150. Suppose 0 = -o*s + l*r + 132, -r - r = s - 29. List the prime factors of s.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 9*j**2 + 2*j - 5. Suppose -3*r - 17 = 2*q, 3*r + 12 = 2*q + q. What is the tens digit of z(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -11*r**3 + 7*r**2. Let y(c) be the first derivative of 5*c**4\/4 - c**3 - 5. Calculate -3*k(u) - 7*y(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 - 21. Let b(i) = i**2 + i. Let d be b(2). Suppose w + 0*w - 2*h + d = 0, -2*w - x = -3*h. Solve 0*q + w*q + 8 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/5)\/((-136)\/33322040) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -162920, -2\/13, -4.6, -8?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y - 17 = 3*y + 2*v, 5*v + 23 = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -33636625*a. Let v(x) = 2*x. What is v(k(m))?\nAnswer: -67273250*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6063114748.\nAnswer: 2, 1515778687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -379 and -5.\nAnswer: 1895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 0*n**2 - 15 - n**2 + 12*n + 1. Let v be 55\/88 + -1 - (166\/(-16) - 2). Calculate m(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -845 - 199*j**2 + 6*j**2 - 10*j**3 + 71*j**2 - 143*j**2 - 1820*j = 0?\nAnswer: -13, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -750*x + 765*x - 90 = 0. Solve 0 = 3*m, 3*m - x = -2*u + 4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*j + 98 + 167. What is the units digit of 299144\/305 + 1 + (-9)\/j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -12*t - 28. Let v be s(-8). Suppose -3*a - 39 = -2*r, -27 = -5*r + 5*a + v. Solve -5*q = -2 - r for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 2*d + 3*d)*(-105*d + 1084 - 1084 + (-10 + 2*d + 10)*(1 - 2 - 1))*(-1 + 0 + 2).\nAnswer: 109*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2193427535.\nAnswer: 5, 13, 97, 347887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 166417 equal to 166417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3422937 - 1790566.88.\nAnswer: -5213503.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 11:58 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 36 = 148*g - 153*g, -180 = 22*g - 4*s for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-33))\/((-12)\/(-33))*(-632)\/20935?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 plus 0.1058098666166?\nAnswer: -6.8941901333834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1203210 and 80214?\nAnswer: 1203210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 683118 to the nearest integer?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 82*i - 7 - 80*i)*(15*i + 13*i - 1 - 6*i) as n + c*i**2 + b*i and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 708*y - 22. Let o(a) = -1415*a + 49. What is -9*n(j) - 4*o(j)?\nAnswer: -712*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oj when two letters picked without replacement from {o: 3, j: 3, h: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8781 + 24612 + 17692 = -920*z - 6875 for z.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d - 5*d**2 + 1 + d**3 + 17*d**2 - 10*d**2 - 5*d**2. Suppose 3*y + 0 = 9. What is the units digit of k(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5267 - 3369. Is 9492\/5 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.77 + -0.8. Let q = 0.17 - d. Let j = -9 - -4. Which is the biggest value? (a) 0.3 (b) q (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14384863.\nAnswer: 137, 104999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2102222 (base 5) to base 11\nAnswer: 24074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87 + 13. Let u = -90 + p. Suppose -u*l - 13550 = -5*l. What is l rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1820 and 48020?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -216.879 - 0.121. Let w = t - -216.99618. Round w to 4 dps.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -158, -82, -5, 3, -2 in descending order.\nAnswer: 30, 3, -2, -5, -82, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 14*u + 13. Suppose 3*o = -4*s + 45, -o = -2*o + 3*s + 2. Is w(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1129\/126 + -15\/14. Calculate the common denominator of 15136\/2002 + 2\/13 and b.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0701604723 + -5.9298392677. Let n = 6 + b. Round n to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -10*f**2 + 5. Let t = -60 + 55. Let n(y) = 2 - 11*y**2 + 2 + 2. Let b(k) = t*n(k) + 6*q(k). Factor b(u).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -366 by -122.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-47 - (-54 + -36)) + 26 + -189\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o - 9359 + 20499 + 16244 = 0. What is the remainder when o is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-30)\/(-20))\/((-9)\/(-18)). Solve 2*i + 9*n = 12*n + 17, 3*i - b*n - 18 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*s**3)*(-12*s + 3*s - 11*s) in the form w*s + r + p*s**2 + y*s**4 + o*s**3 and give y.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o - 22 = 0. Let c(w) = w + 3. Let m be c(3). Solve 2*r = 10, 4*r - m - o = -j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 45262 and 45248 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 49 - ((-1 - 23) + (-127 - -223 - 83)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 j when two letters picked without replacement from hrrjjtjrqzh?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.09, -1\/3, 9718, 2, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f**3*i**3 - 3*f**3*i**2*z**2 - 138*f**3*i**2 - f**2*i**3 - 2*f**2*i**2*z**2 + 75*f*i**3*z**2 wrt i.\nAnswer: 18*f**3 - 6*f**2 + 450*f*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 123 or 256485?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - 22) + 4 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1\/6, -2\/9, -1\/4, 8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-2) + 3\/(-3). Suppose -4*a - 2*z + 562 = 0, a + t*z = z + 138. What is the remainder when a is divided by 1 + 68\/4 - 2?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*j - 5. Suppose -b - 2*b = -4*y + 50, j*y + b - 44 = 0. Calculate the smallest common multiple of 6 and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230092657 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -156*f + 55999. Determine w(359).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/8? (a) 157\/2 (b) -0.13 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*l**3 + 36*l**3 - 5263*l**2 + 10540*l**2 - 5277*l**2.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5*j**4 - 15*j**3 + 96*j**2 + 94*j. Let w(a) = 81*a**4 + 240*a**3 - 1542*a**2 - 1503*a. Let n(q) = -33*t(q) - 2*w(q). Find p such that n(p) = 0.\nAnswer: -8, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 96451036?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0021928 rounded to 5 decimal places?\nAnswer: -0.00219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6513732 is divided by 42024.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*j - 6*j + 4. Let y(c) = -3*c**3 - 2*c**2 + 2*c + 2. Suppose 0 = -5*u + 2 + 13. Let z(m) = -3*m**3 - 3*m**2 + 3*m + 3. Calculate j*z(s) + u*y(s).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = h. Let d be 1*(-3 + h) + 5. Suppose 128 = -d*c + 6*c. What is the remainder when c is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 11*h**2 - 14*h + 8. Let u(c) = 10*c**3 + 77*c**2 - 23*c + 18. Let i be u(-8). Give t(i).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22202102 (base 3) in base 13?\nAnswer: 2ba0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - d + 1. What is m(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 364, -4, 3, 2, 4 in ascending order.\nAnswer: -4, 2, 3, 4, 364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 4, 43*k - 46*k = -2*b - 488. Do b and -242 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h - 8. Let a be t(4). What is the greatest common factor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134150196 divided by 7052.\nAnswer: 19023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41\/211 + 23637\/51062. What is the common denominator of v and 111\/110?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1616789?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2.227+-132\nAnswer: -134.227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (56\/12)\/((-6)\/(-225)). Suppose 2 = k, z + 0*k = -3*k + 8. Suppose -3*v - z*v = -l. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.13 less than 9.5290355537?\nAnswer: 11.6590355537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13641992 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10421757?\nAnswer: 3, 385991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*c**3 + 33*c**2 - 33*c**2 + (-3*c**2 + 4*c**2 - 2*c**2)*(7*c - 2*c - 3*c) + 3*c**2 - 2*c**3 - 3*c**2)*(-4 + 4 + 10).\nAnswer: 180*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, h: 3, q: 3, w: 2, p: 3}. Give prob of picking 2 p and 2 d.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 345*h + 230. Determine l(-1).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 743 + 24. Let d = 767.1 - z. What is the second biggest value in d, 5, 2, 24?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1454850 divided by 9\nAnswer: -161650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*w + 276*w = 1292 for w.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168113924 divided by 3.\nAnswer: 168113924\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 - 4*c**2 - 2 + 0*c**3 + 6*c**2 as x*c + r*c**2 + g*c**3 + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1401*d + 4 - 40786*d**2 + 40788*d**2 - 4 wrt d?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 14*g + 16. What is the units digit of c(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*s = -2*s + 10, 0 = 2*z + s - 1. Let q = 1022 + -1024. Let b be z\/q + 1 + 2. Solve 6 + 0 = -b*r + 2*x, 23 = -5*r + x for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - i**2 + i + 1. Let h be (1\/14)\/((-22)\/(-77)) - (-374)\/136. Let u(x) = -4*x**3 - 3*x**2 + 3*x + 1. Calculate h*t(v) - u(v).\nAnswer: v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhz when three letters picked without replacement from zhzzzzzzzzzhhzzhzz?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 16*p + 13. Let u(a) = 18*a + 15. Let s(h) = -6*l(h) + 5*u(h). Let x(v) = 5*v + 2. Give 2*s(i) + 3*x(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -58a?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43496, 43935, 44374, 44813, 45252, 45691?\nAnswer: 46130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75893 is divided by 25291?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7\/3, 0.2, 0?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27426854 divided by 91?\nAnswer: 301394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (0 + -7 - -22) - (0 - -9).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538 is divided by 108?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2818, 16216, 47596, 104362, 193918, 323668, 501016, 733366?\nAnswer: 1028122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 2*h + 1. Let n be j(-2). Let d(s) = -8 + 8 - 11*s - 15*s**2. Let g(i) = 3*i**2 + 2*i. Let u(c) = 2*d(c) + 11*g(c). Give u(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8 - 1) + (6 - (-20)\/(-2)). Suppose j*v - 1667 = 4*i, v + 5*i - 8*i = 549. What is the greatest common factor of v and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqesiesdsmssd. What is prob of picking 1 i, 1 e, and 2 m?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 270285 and 2775.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**4\/24 - 29*o**3\/18 - 10*o**2 - 13101. Factor q(n).\nAnswer: -n*(n + 5)*(n + 24)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89595015?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28 + 7 - 1*-1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1609, 1635, 1689, 1783, 1929, 2139?\n\"Answer: 2*a**3 + 2*a**2 + 6*a + 1599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**3 - r**2 + r + 1. Let o be (-3)\/(-2)*(-32)\/(-48). Let x be 1*(o + 0 + (-12 - -8)). Let s be (-8)\/(-10)*(-5)\/(-2) + x. Determine w(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15872922 and 1170.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 504071?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11 times -0.24\nAnswer: -2.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-105) - (-6572)\/1855?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 97*i + 8. Let t be x(-11). Let l = 21143\/20 + t. What is the common denominator of 1\/6 and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2066565 is divided by 805?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 40329 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 254162.99 rounded to the nearest one thousand?\nAnswer: 254000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 382004850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-4)\/16)*(-3 + 1). Solve -3*i + i + q = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**5 - 5*r**5 + 2*r**5 + 2*r**3 + (175*r**4 + 5945*r**2 - 5945*r**2)*(-4*r - 4*r + 3*r).\nAnswer: -876*r**5 + 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4)\/x*x)\/x**(-5))\/(x**(2\/3)\/(x*x\/((x\/x**(-4))\/x))) assuming x is positive.\nAnswer: x**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 8*h - 6. Let n be k(-9). Let g be 9\/n + (-12 - -9). Is g < -2\/69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/274 and -17\/74?\nAnswer: 10138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqyalqyzqlqyzyyvvvqy. Give prob of sequence zv.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0*z = 2*z + 25, -5*z = -3*y + 31. Solve -2*j + y*j = -5, j = 3*u - 16 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 d when three letters picked without replacement from {f: 7, d: 12}?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2\/5))**(-2\/31)*(v**(1\/2))**(3\/4))\/((v\/v**1*v)**(-1\/15)\/((v**(-6)\/v)\/(v**(-6)\/v))) assuming v is positive.\nAnswer: v**(1307\/3720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1169*j = -4526*j + 54963 + 82674 for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1954 - -1960. Solve 0 = -j*w - 361 + 385 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j + j + 1 + 3*j - 3. Calculate b(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 935 = -87*g + 32255. Does 18 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39\/22? (a) -2\/15 (b) 44 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9821, 9591, 9359, 9125, 8889, 8651?\nAnswer: 8411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a**2 + 11*a - 59. Let h(u) = 11*u**2 + 31*u - 178. What is -17*g(z) + 6*h(z)?\nAnswer: -2*z**2 - z - 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3674? (a) 5 (b) -29 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/10*(1734\/432 + -4). Let h(j) be the third derivative of 0 - i*j**5 + 0*j**4 + 0*j + 2*j**2 + 1\/12*j**3. Determine w, given that h(w) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 16. Let t = r - -3. What is the closest to 2\/7 in t, 2\/5, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40345717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 12*f**2 - 3*f - 12. Let y be i(12). Let l = y + 29. Let c = l - -39. What is the greatest common divisor of 8 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22572 = 9*g + 10*g. List the prime factors of g.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -2. Suppose -18*q + 17*q = -2. Suppose -2*w - 2 = -2*r, 3*w + q*r = 3*r + d. What is the remainder when 1 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1062293?\nAnswer: 1062293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (14\/175)\/(1\/5)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -577 - -577.1. What is the nearest to -0.4 in j, -5, 5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 100 - 92. Solve -3*g + r = -1 - 4, -j*r - 4 = -3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 7*k - 7. Suppose 3 = 13*n + 29. Let z be n\/(8\/(-26)) + 16\/32. Determine x(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -114 (b) -0.149 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 2. Let s = -10 + 4. Let h = 8 + s. Let l be d(h). Calculate the greatest common factor of l and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2508 rounded to 2 dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 h when two letters picked without replacement from nbhhf.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from awwwwaww.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 377.714.\nAnswer: 382.714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(6)*-1)\/sqrt(2)*-6 + 0.\nAnswer: 5 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 13*v - 29. Suppose -1 = q - 7. What is the units digit of z(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6537*x**3 - 5*x**2 + x + 3588?\nAnswer: -39222*x - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + -1. Let c(b) = -4*b - 4. Let z be c(s). Suppose 9*x + z = 12*x. Calculate the highest common factor of 1 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36*85\/(-5985)*-19.\nAnswer: 68\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -335574 divided by -3\nAnswer: 111858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 105\/119581978 and 79\/14178.\nAnswer: 358745934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 305?\nAnswer: 7\/305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -13*q**2 + 112*q**2 - 85*q**2 - 13*q**2. Let k(h) = 22475*h. Determine k(g(w)).\nAnswer: 22475*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z. Let d(n) = 12 + 11*n**2 + 8 + 17*n**2 + 15. Let h(b) = b**2 + 1. Let j(p) = -2*d(p) + 70*h(p). Determine i(j(w)).\nAnswer: -42*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 5*c - 8. Let p be h(7). Suppose 4*m = g + p + 17, -4*g = 12. Sort m, -1, 8, 2 in descending order.\nAnswer: 8, m, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 645 + -631. Calculate the remainder when w is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31a (base 11) to base 15\nAnswer: 1a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5822 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 230574.88 rounded to the nearest ten thousand?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2181326 is divided by 1734?\nAnswer: 1688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 238.302831 rounded to two dps?\nAnswer: 238.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*m + m. Solve 0 = 2*j + 3*j + m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -564 + 581. What is the highest common factor of a and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 22, -15, -76, -167, -294, -463?\nAnswer: -680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*j + 4*l = 2674, 3*j = -3*l + 7986. Let v be (-6)\/(-8) + j\/8. Suppose -3*s - 63 = 5*c - v, 4*s - 162 = -3*c. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000123817186 to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g - 761. Let u(n) = -4*n**2 + 162. Let x(f) = -11*f**2 + 459. Let d(v) = -17*u(v) + 6*x(v). Give d(b(c)).\nAnswer: 2*c**2 - 3044*c + 1158242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.742549 decades in millennia?\nAnswer: 0.03742549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.2 - -3.2. Which is the closest to -1? (a) -0.1 (b) w (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i - 11*i + 3. What is the remainder when 4 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + 2)\/2*11. Let b(l) = -l**2 - 13*l - 15. Is b(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*8*(-2)\/12?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-5))\/(-2) - (-172)\/(-860)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -237\/20*s**5 + 7*s + 0 + 69\/4*s**4 - 14*s**6 + 2*s**3 - 6*s**2. Let a(q) = 0. Calculate q.\nAnswer: -1, -1\/4, 2\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*j - 11*j + 6. Let i(k) = 3*k + 18. What is the remainder when i(j) is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21533214 (base 7) in base 10?\nAnswer: 1857111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 319 divided by 113.\nAnswer: 319\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 135188693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.47 + -0.88. Let z = -30.41 - n. Let w = z - -22. Is -3 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**5\/100 - 3*n**4\/40 + n**2. Factor o(b).\nAnswer: -3*b*(b + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 11 - 22)*(a - 3*a + a) to the form y*a + d and give y.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1\/5, 4.7, -100, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-142 + 141 - (11 + -3)) + (-4 - -25)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - h = 89, 12 + 6 = 2*o + 4*h. Suppose 2*v = -2, o = 3*c + c - v. Factor 18*z - 6*z + 29*z**2 - 37*z**3 + 55*z**3 + 3*z**c - 2*z**2.\nAnswer: 3*z*(z + 1)**2*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -809 + 809. Suppose 3*o - 27694 = 7*c, 3*c = -m*c - 3. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + c = -11, c = -4*z - 4*c - 37 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ui when two letters picked without replacement from iiwuqtw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o = -6*o. Calculate the common denominator of -12\/35 and o + (-99)\/270 + 4\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m + 33 - 12 + 90 + m + 95 as d + b*m and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - x = 92, 5*x = 5*v - 332 + 97. Does 9 divide (-2)\/9 - (-3250)\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddwdwdwwdwdwc. What is prob of picking 1 d, 1 w, and 1 c?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5*sqrt(243)*-6)**2.\nAnswer: 437400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -f + 6. Let a = -28 - f. Is a != -1\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*l + 8*l - 378. Calculate the remainder when 182 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**5\/20 + o**4\/12 - o**3\/2 - o**2\/2 + 1014*o. Give w(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261730832?\nAnswer: 2, 11, 97, 15331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**6\/120 - x**5\/10 - x**4\/8 + 3*x**3\/2 + 21*x**2. Calculate the lowest common multiple of 18 and j(-6).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -7 - (-1228 + 1244)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 72 + 83 + 96 + w - 282. Let t(u) = 3*u - 92. Calculate -6*t(p) + 17*v(p).\nAnswer: -p + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c**5 - 6*c**4 + 120*c**3 + 48*c**2 - 240*c - 96 = 0.\nAnswer: -2, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-46 + 33 - 5) + 10\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t. Let n(y) = -2 + 8*y - 4*y - 1. Let l(q) = 5*q - 4. Let w(r) = -5*l(r) + 6*n(r). Calculate w(x(k)).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**3 + 2*n**2 + 4. Let l(q) = -17*q**3 - 9*q**2 + q - 17. Suppose -3*r + 7 = 2*w, 9*r = -3*w + 12*r + 3. What is w*l(k) + 9*o(k)?\nAnswer: 2*k**3 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24175 + -247.\nAnswer: 23928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -67, 20, 165, 368?\n\"Answer: 29*m**2 - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d + 3525. What is the thousands digit of i(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1175\/188 + 1 + 5\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -6*s**2 - 35*s. Let f(r) = -2*r. Calculate f(p(b)).\nAnswer: 12*b**2 + 70*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 85\/35 - 3. What is the closest to 0 in w, 1\/6, -1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58845 by 3923.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 0.3 (b) -0.09 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 6:28 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-533)\/(-39) + -14)\/((-7 - 645\/(-93))\/(-6))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*h + 426 = -96*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -4*b + 8. Suppose b*v = 76 + 64. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*u**5 + 314076*u**4 + 620881232*u**3 + 17078102016*u**2 - 1714019328*u = 0 for u.\nAnswer: -3912, -28, 0, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 84 = -4*f, 5*f - 3*o + 84 = 9*f. Suppose -5 = 4*x - f. Suppose 35 = x*p - 9. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/21 + -1 + 16\/14. Which is bigger: 0.028 or k?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 891961811.\nAnswer: 13, 68612447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2034 = 191*f - 315 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p, -4*d + p - 5 = -3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, 7, 5, 14, 0 in increasing order.\nAnswer: -6, -4, 0, 5, 7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(117) + -2*sqrt(117) + sqrt(117))\/sqrt(9) + 5)*2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3\/2)*k*k**6\/k)\/(k**(-1\/4))**(-47))\/(k**(1\/6)*k*(k**0\/k)\/k*k*k*k\/k**(-1\/4)*k*k**(-6\/5)) assuming k is positive.\nAnswer: k**(-142\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1508 - 1508. Solve q*g = 2*g - 15*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42 + 129. Let d = -150 + b. Let y = -61.5 - d. What is y rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 3*m - 2. Let d be f(-3). Let y be 2 + -4 + (-3)\/d. Let t = -2\/23 - 17\/69. Which is the nearest to 2? (a) 1 (b) y (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -38, -19, 6, 31, 50, 57?\n\"Answer: -d**3 + 9*d**2 - d - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 106202260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 479 divided by 1\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 46, -88, 5, 12, -1 in decreasing order.\nAnswer: 46, 12, 5, 3, -1, -4, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 44, 3, 0.3?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*w - 8*w - 9*w + 0*w to b + m*w and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (0 + (-4 - -4)). Suppose 0 = 49*b - 47*b + i. Let r(c) = -23*c. Give r(b).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2042, -3022, -4002, -4982, -5962, -6942?\nAnswer: -7922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100863 and 201726?\nAnswer: 201726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 24 = 4*c, -5*c + 25*w + 30 = -6*w + 7*w + 3*w + 10*w for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231625 = 840*i + 1022*i - 397*i + 388*i for i.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 7:00 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 408599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6800\/(-11200))\/((-16)\/56)?\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*t + 8. Let i be (-37004)\/(-308) + (1 - 16\/14). Suppose 0 = -211*u + 223*u - i. Solve -k + u = 5*l + 34, 15 = -t*l for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l + 5*l + l**2)*(1 + 2*l - 1) - 305*l**3 + 55*l**3 - 22*l**3.\nAnswer: -270*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*q**3 + 20 + 332066*q**2 + 46*q**3 - 332066*q**2 - 20.\nAnswer: 22*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-8))\/(-3)*4\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 9*f + 2. Let b(l) = 24*l - 1. Give t(b(m)).\nAnswer: 216*m - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7230*a*f**3*q*u - 23*a*f*q - a*q + 58925*f**3 - q*u + q wrt a?\nAnswer: -7230*f**3*q*u - 23*f*q - q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -34*w + 207. Let m be z(6). Suppose 2*y + y = m*r + 15, -5*r = -2*y + 25. Solve 0*l - 5*l - 15 = y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qssqijk. Give prob of picking 1 q and 1 s.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16073324 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.149 and -1084881.\nAnswer: 161647.269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 14*u - 82. Let s be 2713\/(1 + -2) + (u - 6). Let w = -1834 - s. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 49711.842 to the nearest 1000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 458 + 7924. Is k greater than or equal to 8383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 17 = -10*b - 4*l, l = 2*b - 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4 - 24699711*b**3 + 50839655973480*b**2 - 50839631273772*b.\nAnswer: 3*b*(b - 4116618)**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - -5)\/(-1 + 3). Suppose 308 = -d*i - 2*i. What is i rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2. Let h = -42 + 78. Let u(o) = -h*o**2 - 4*o + 34*o**2 + 4*o. Determine c(u(i)).\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {l: 7, p: 4, h: 3}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -101.2 >= -45\/428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50787 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 6*r + 312. Let h be x(-42). Let g be ((-70)\/175 - (-34)\/h)*4. Sort 0.5, 4, g, -2.4.\nAnswer: -2.4, 0.5, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119033.\nAnswer: 119033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, z: 2, g: 6, c: 1, o: 6, x: 1}. What is prob of sequence xoz?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 10 + -5 + 2 - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 143866 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 51 from 0.3.\nAnswer: -50.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**7\/k*k\/k**(1\/9)*(k**(1\/6)\/k)\/k**2 assuming k is positive.\nAnswer: k**(91\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(7) + 0)**2 - ((4*sqrt(847) - sqrt(847))**2 - sqrt(7)).\nAnswer: -7511 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 5\/2 (c) 260\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-7 - -13 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -773.609 rounded to 0 dps?\nAnswer: -774","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 8*n**3 - 2*n**2 - 15*n + 7. Suppose -2*m + 4*p + 20 = 0, -p + 17 = 2*m + 3*m. Is 44 a factor of y(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + (-6)\/2)*-1. Sort i, 4, -4.\nAnswer: -4, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 9 + 25 = 0. Is (-31*(-4)\/v)\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*m + 0*m - 2*m**2)*(2*m**2 + 1 - 1) - 4*m**4 + 2*m**4 + 0*m**4 + 36*m**4 - 156 + 156)*(2*m - 4*m + 3*m).\nAnswer: 30*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -10 - 9 - 104865*o + 104844*o. Suppose 5*q - v + 15 = 0, -q + 0*v = -2*v - 6. Is f(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 4374648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 696.7533 litres to millilitres.\nAnswer: 696753.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*h - 5*p, -h + 5*p - 23 = -5*h. Suppose h*v + 8 = 48. Suppose 2*a - a = v. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -49 + 27 + -83\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-2) - -2)\/((-54)\/(-18)). Which is the second smallest value? (a) -1 (b) 2\/9 (c) 3 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-6) + 39\/9. Let j = -36 - -26. Find the common denominator of -13\/5 and c + 103\/j + 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -205640 - -4?\nAnswer: -205634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 334 - 997 + n**2 + n**3 + 335 + 328 + 326*n as u*n**3 + w + m*n + x*n**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 10. Let j be t(-8). Suppose -j*c = q - 19, -2*c = 5*q - 36 - 27. Suppose 0 = -2025*l + 2033*l - 88. What is the highest common factor of q and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20543, 41075, 61585, 82073, 102539?\n\"Answer: -11*k**2 + 20565*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*(1 + (sqrt(256)\/sqrt(8) - sqrt(32))**2*2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*j = -45*j - 23*x - 138, 8*j - x + 3*x + 30 = -3*x for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -842 - 29 = -3031*h + 3098*h for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (6874\/(-798) - -4) - 3\/(-57)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 88571 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -7*j - 33. Calculate q(5).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-1 + (-6)\/(-9)). Let i(k) = -k + 16. Let n be i(s). Suppose -n*u - u = -45. Solve -2*z = -u + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 5. Let v = -248 - -277. Find y such that -37 + 7*y + r*y - 2*y**2 + v - y = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 17*u - 120. Let j(g) = 4*g**2 - 2*g - 7. Let i be j(0). Let n be v(i). Solve -n*y = -52*y + 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.36472521624 - 558?\nAnswer: -559.36472521624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -5. Let y = 8 - j. What is the first derivative of -1 + y*s + 0 - s - 1 wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 18*y**2 - y - 2. What is the remainder when a(-1) is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22358?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5160041?\nAnswer: 5160041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 5958808405 to the nearest one hundred thousand.\nAnswer: 5958800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8699\/11 - 791. Sort b, -0.5, -4\/5, -2.\nAnswer: -2, -4\/5, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhhxxhxxhhhxh. What is prob of picking 2 x?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = -141 - 132. Let q = 41 + a. Let j be ((-3)\/6)\/(q*3\/(-24)). Which is smaller: j or 7\/12?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.016 + -0.01534. What is d rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 at most 134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6*1)\/(9\/6). Let c = 9 - v. Suppose -5*x - c*m = -380, -2*m - 2*m = x - 79. What is the greatest common factor of x and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, h: 5, l: 5}. Give prob of sequence hhhh.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 267, 11, 2, -1, 0, 61.\nAnswer: -1, 0, 2, 11, 61, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -632*m + 632*m + 8*m**2.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 95698101?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 18 = -4*l, -6 + 0 = 2*x. Suppose 0 = -2*h + l*h. Factor 0*k**2 - 1\/5*k**3 + h*k + 2\/5*k**4 + 0 - 1\/5*k**5.\nAnswer: -k**3*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/657? (a) 3 (b) -1\/158 (c) 1 (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 12 = 0, -974*o + 976*o + 40 = -8*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-3) - -1)*414\/(-92). Let o(c) = 10*c**3 + 2*c**2. Let b(i) = -11*i**3 - 2*i**2. What is w*o(h) - 5*b(h)?\nAnswer: -5*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - y + 3. Let h be w(2). Let b be h\/((-3 - -4) + -2). Let d be (230*b\/(-9))\/((-3)\/54). Round d to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - s - 20, 2*i - 4*i - 8 = 3*s. Let j(c) = 409*c + 2839. Let v be j(-7). Sort v, 3, i in decreasing order.\nAnswer: 3, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0858721 times -17\nAnswer: -1.4598257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 1\/9 (c) -1 (d) 229 (e) -99 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 182 + -181. Solve 0*n = -n + 2*u, n - 3*u = -b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 31*r**2 - 22*r - 137. Give i(30).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 25. Suppose -20*t = -q*t. Suppose 0 = -5*v + 4*f + 35, -2*v + 14 = -t*v + 4*f. Sort -1, v, 5 in decreasing order.\nAnswer: v, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 2538?\nAnswer: 2538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14274 by -14274.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**5\/d*d)**17 assuming d is positive.\nAnswer: d**85","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 - 32. Suppose 4*s + q = 4*o, 5*s + 4 = 2*o + s. Suppose -5*l + 29 - 9 = o. Calculate the highest common divisor of 1 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 < 13\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -769*g = 1404 - 8623 - 9699 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18910727 by -6.\nAnswer: 18910727\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3843.795361 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/84)\/(276\/322)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in -1, -2\/7, 1\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by -3695197?\nAnswer: -21\/3695197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 512 and 192?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j - 3*j + 2*j - 1 - j + 1 + (-2 + 2 - 2)*(-4*j + 3*j + 0*j) + (-j + 3*j - j)*(2 + 0 - 3).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j. Let s(k) = -10440*k. Determine s(n(b)).\nAnswer: 10440*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*r = -0*r - 82, 0 = r - 5. Let g = p + 34. Suppose -10 - 2 = 4*b, -5*k + b = -g. Solve k = -3*f + 7*f + y - 6, -4*f - 2*y = -8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 594, 3440, 10800, 24930, 48086, 82524, 130500?\n\"Answer: 376*d**3 + d**2 + 211*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 15*c - 10. Let k be 4\/20 + 158\/10. Let l be y(k). Let o be (-186)\/(-342) - 2\/l. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -263*a**5 + 3*a + 8.\nAnswer: -5260*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -0*m - 42. Suppose 0 = -g - 16 - m. Let c = g - -13. Which is bigger: c or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 34 = 3*b, -2*h - 22 = -7*h + b. Suppose 2*v - h*v = 0. Let d(i) = i**2 + 33. Is d(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 449, 454, 473, 512, 577, 674, 809, 988?\nAnswer: 1217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29274, -117074, -263408, -468276?\nAnswer: -731678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-64))\/((-522)\/6264)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*d + 49*d - 83*d + 6956 = 0 for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 396 divided by -44?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(95\/(-20) + 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -395\/7 smaller than -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004579 rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(1\/4)*v)**(4\/3))**(-30) assuming v is positive.\nAnswer: v**(-130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.13 - 0.17. Round a to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21, 101, 357, 789, 1439, 2349, 3561?\n\"Answer: 7*k**3 + 25*k**2 - 2*k - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 122 + -146. Calculate the common denominator of -43\/110 and (-135)\/(-360)*j\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -j - 4. Suppose -j*u + u = -7. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/14670945 and -52\/2565?\nAnswer: 44012835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 18*z + 6. Let s(k) = -4. Give m(x) - 2*s(x).\nAnswer: 18*x + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37598 = -726*f + 2435*f for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 10 = 3*z, 0 = 3*b - 2351*z + 2355*z + 23 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 6 = -8. Let i be 3 + n*(13 + 4). Let q be (-1)\/(i\/(-60) - 2). What is the greatest common factor of 90 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**3 + b**2. Let k(j) = 14*j**3 + 14. What is -k(w) + 3*x(w)?\nAnswer: -8*w**3 + 3*w**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/10)\/(8\/(-40)). Suppose 0 = 2*f + f - 5*x - 37, -n*f = -x - 13. Calculate the highest common factor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 157057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (24986\/(-1612))\/((-3)\/(-6))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*(2 - (-12)\/(-4)). Let k = 12 - 8. Let -3 + 20*f - 16*f**3 + 8*f**2 - k*f**5 - 16*f**4 + 11 - s*f**5 + 5*f**5 = 0. What is f?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 19 - 14 - 1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -42276501 divided by 2907\nAnswer: -14543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 361.1 rounded to the nearest ten?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3304 and 312228.\nAnswer: 624456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00074578581 rounded to 5 decimal places?\nAnswer: 0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.10016 - -1.1. What is w rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.21 (b) 749 (c) -9 (d) 2 (e) 4 (f) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 3 = 4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 8. Is 12\/g - 18\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 642452.\nAnswer: 2, 61, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihh when three letters picked without replacement from {h: 17, i: 2}.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 23*j**2\/2 + 97. Let f(g) = -16*g**2. Calculate f(b(o)).\nAnswer: -8464*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2618?\nAnswer: 2, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13166 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by 9705?\nAnswer: 1\/647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (2 - 12) + 1 + 8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80634 - 80633.959519. What is v rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 25 = -5*o, 2*o + 5*l - 22 - 16 = 0. Let y be (0\/(-1))\/(1 - 0). Solve -6 = 4*r - 2*g + 8, y = -3*r + g - o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**2 + 33722*w - 7066152 = 0.\nAnswer: -17068, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-8)*43\/387.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 4*t, 4*q - 3*t - 2*t + 18 = 0. Let u = 0.16 + -0.06. What is the third smallest value in 2\/7, u, -1\/4, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 179 + (0 - 1) + -3. Suppose -10*g + f + 5 = 0. Solve -3*t - 5*q = g, 3*t - 2*q - 2 = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -9, 23, 79, 165, 287, 451, 663?\nAnswer: 929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -74*b**2 + 1708*b - 6687. What is c(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.5, -4\/3, -3\/4, 24\/7 in descending order.\nAnswer: 24\/7, 0.5, -1\/2, -3\/4, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/5))**(6\/17)\/(r**11\/r**(-10)) assuming r is positive.\nAnswer: r**(-1779\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**6\/240 - 23*d**4\/12 - 14*d. Let n(j) be the third derivative of a(j). Let o(c) = 22*c. Determine n(o(i)).\nAnswer: -66*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 387*c - 19042. What is j(49)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6*5)\/(0 + -1). Let q be u\/(-4)*2\/(-3). Suppose -3*n + k - 2 = -21, -2*n = q*k + 10. Sort 2, 4, n in ascending order.\nAnswer: 2, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5, 36, 103, 224, 417, 700, 1091?\n\"Answer: 3*d**3 + 10*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 59 and 8011.\nAnswer: 472649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13752 + 3880?\nAnswer: 17522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2473)\/(-7) - ((-560)\/98 + 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 11441*w**2 - 78*w - 117. What is the hundreds digit of c(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*15\/20*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 329a227 + 1a?\nAnswer: 329a246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -4. Suppose 0 = -h*k + 3*k. Let p = 4\/5 + -13\/10. Which is greater: p or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 438 and 209218?\nAnswer: 627654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(2\/7)\/z)\/z)\/z**(3\/2))**11 assuming z is positive.\nAnswer: z**(-495\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 2*h - 88. Give i(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**4\/4 - 10*j**3\/3 - 7*j - 129. What is o(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + -3 + 2 + -2 + sqrt(1573))**2.\nAnswer: 88*sqrt(13) + 3154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 5\/(21\/(11 - 4) - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.13 - 0.23. Let u = 3.1 + q. What is the closest to 0.1 in 5, 2, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty sevenths of a week in minutes?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from latlthhhh. What is prob of picking 2 h and 2 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3450 + -3435 - (3 - 1 - 28)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9 - -8)\/((-1)\/751) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {g: 1, t: 1, d: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -64, -108, -154, -196, -228, -244?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1004*o + 138 = -1035*o + 882 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 141724 or 141728?\nAnswer: 141724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 81461, 81465, 81471, 81479, 81489, 81501, 81515?\n\"Answer: g**2 + g + 81459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 155397 or -135\/8?\nAnswer: -135\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1250.3975 + 529.4548. Let v = 721 + d. What is v rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 + 1. Suppose 5*o + d = 71, -3*o + 63 = 2*o + 3*d. Calculate the remainder when t(-3) is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 = 19*l + 60. Solve -2*i - 10 = -l*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 8*d + 7. Let t be u(6). Let a(i) = -i**2 + 15*i - 12. Let h be a(7). Suppose 0 = 9*p - h*p + 665. Does p = t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q**3 + 2*q + 2. Let a(w) = -3*w**3 + w**2 + 2*w + 1. What is -3*a(t) + 2*u(t)?\nAnswer: 3*t**3 - 3*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/1754912 and -37\/363992?\nAnswer: 461541856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (70 + -53 + -12 - (1 - -22 - -4))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 583?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*v**(-3\/4)\/v*v)*v*(v\/(v*v*v\/((v\/(v**1\/v))\/v)*v*v*v))\/v*v*(v\/(v\/(v**(1\/4)\/v))*v*v)**33 assuming v is positive.\nAnswer: v**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4 - 1 = -3*x, 0 = 4*c - 16. Suppose 4*n + t = 60, -10 = -n - 3*t + 4*t. What is the least common multiple of 13*(x + -2) - 1 and n?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*k**4 + 146*k**3 - 115 wrt k?\nAnswer: -36*k**3 + 438*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -11, 1, 8.\nAnswer: -11, -5, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -311 divided by 9997?\nAnswer: -311\/9997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-63)*((-5544)\/144 - -34)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60042253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146852, -293754, -440646, -587528, -734400, -881262, -1028114?\nAnswer: -1174956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 2*f - 12. Give r(-4).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + (-2 - -1) - (484 + -478) - 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.51345 years in decades?\nAnswer: 5.251345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 h when two letters picked without replacement from {q: 10, h: 6, m: 1}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.1 - -0.1. Let d = -28.7 - -33.5. Let n = l + d. Is n at least -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**2 - 3*p + 3*p - 42*p**2 to the form c*p + h*p**2 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -651168 + 1441168. What is r rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 5*h**2 - 7*h - 6. Let a be d(-6). Let c = 228 + -226. What is the second biggest value in 20, c, a, -2\/13?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2615 divided by -5999?\nAnswer: 2615\/5999","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -13*c**2 + 8*c + 5. Let w(d) = -35*d**2 + 21*d + 13. Let o(s) = -8*v(s) + 3*w(s). Let b(t) = 18*t**2 - 4*t - 5. Give -b(n) + 5*o(n).\nAnswer: -23*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -2.36. Let o = 0.16 + g. Which is the third smallest value? (a) o (b) 0.5 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123 (base 4) to base 13\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-168*34\/(-102))\/2?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253293*o = -253359*o - 660 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1059, -2078, -3097, -4116, -5135?\n\"Answer: -1019*u - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 6*w. Let r be v(5). Suppose -f = -0*f. Solve r*q + 0*q + 15 = f, 2*i + 2*q = -8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248869731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 223258421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.5 and 2392?\nAnswer: -13156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 3 + 0 + 6*v - 2*v + 5*v**2 + v**2. Let h be c(-5). Let x(z) = z**3 - 7*z**2 + 2*z + 9. Is x(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*s + 5. Suppose s = 6*z - z. Calculate the lowest common multiple of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -5) + (-10)\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104 and 252029518?\nAnswer: 1008118072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 3042?\nAnswer: 3042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y - 7. Let o be u(-5). Let c(b) = -2*b + 3*b - o*b. Let l(h) be the first derivative of 2*h**3 - 15876. Calculate c(l(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-115*b + 117*b + 127*b + 2*b + b - 5*b + (-2*b + 2*b - b)*(1 + 0 + 1) + 4*b + 0*b - 6*b)*(-3 + 5 - 3).\nAnswer: -123*b","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Total of -67.7 and 5.\nAnswer: -62.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 5. Let g(r) = -4*r + 4*r + 5*r**q. Let m(h) = -7*h**2 + 6*h - 3. Let c(d) = -19*d**2 + 16*d - 8. Let v(p) = -3*c(p) + 8*m(p). What is g(v(f))?\nAnswer: 5*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*k - 3*k - k + (2*k - 4*k + k)*(3 - 1 + 0) + 5 - 5 + 8*k to the form a + z*k and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 28c2a - -431?\nAnswer: 2925b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1890569294 is divided by 349.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 12 = -4*p - 2*i, 2*i - 2 = 0. What is the least common multiple of 3\/1 + 3 + 1 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 117966?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 40 - 110. Suppose 3*m = i - 8. Let s be 7\/4*(76 - 72). Solve 4*r - 2 = 3*d + s, 3*d + m = 5*r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 56\/39 or 0?\nAnswer: 56\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/4 - (-69)\/102)*12\/(-18). Which is the closest to -3? (a) 11 (b) 20 (c) -4 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*c**3 - 49*c**3 + 87*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 3:24 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-60)\/6)\/(-3 + 1). Let k = 4 + m. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 24*w**5 - 46*w**4 - 312*w**3 - 278*w**2 - 60*w = 0.\nAnswer: -2, -3\/4, -1\/3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - w - 20. Let v(m) = 5*m - 41. Let b be v(9). Suppose -5*r + b*q - 3 = 0, -2*r = 2*r - 2*q. Solve -w*o - 3 = r for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - -20 - (-1 + (3 - 4)). Put 1, 3, a in decreasing order.\nAnswer: a, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**2 - 72059*b + 29*b**2 - 4*b**2.\nAnswer: 19*b**2 - 72059*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c**5\/20 + 5*c**4\/4 + 3*c**3 + 6*c**2 + 94*c. Give s(-14).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4468 is divided by 744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 10:24 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 755*q - 1979 + 1979.\nAnswer: 755*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000153 rounded to 7 dps?\nAnswer: 0.0000153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5497?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4\/4 + 9*t**3\/4 - 15*t**2\/4 - 9*t\/4 + 3.\nAnswer: 3*(t - 1)**2*(t + 1)*(t + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - -3. Let w = 36 - g. What is the remainder when 37 is divided by w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(26\/((-234)\/(-135))*1 - 17). Factor 0 - 1\/5*q**5 + x*q - 192\/5*q**3 + 512\/5*q**2 + 24\/5*q**4.\nAnswer: -q**2*(q - 8)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24 - 472*j - 8 + 472*j + 72*j**3 with respect to j.\nAnswer: 216*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**6\/120 - u**5\/30 + u**4\/8 - 2*u**2. Let o(m) be the second derivative of v(m). Let t(g) = -2*g + 1. Give -2*o(h) - 7*t(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 49\/4 of a gram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 3. Let i = 0.7 - m. Which is the closest to 1\/3? (a) i (b) 4\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.64*-0.6.\nAnswer: -0.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 494 at most 20759\/42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9625 - -397.35?\nAnswer: -9227.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o = 79*o - 1333140. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -77, 1 in increasing order.\nAnswer: -77, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 146128, -20, 5 in descending order.\nAnswer: 146128, 5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**5 + 255*y**4 - 2515*y**3 - 9975*y**2 = 0. Calculate y.\nAnswer: -3, 0, 19, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -57813*l + 115626. Calculate d(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8, -19, -28, -35, -40?\n\"Answer: l**2 - 14*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 8*o**2 + 11*o - 6. What is the units digit of s(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1454302 divided by 3\nAnswer: -1454302\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.7 + 3. Suppose 5*n - 10 = 0, -3*o - 2 = 4*n + 2. Let t be 1 + o + (-14)\/(-4). Sort 4, w, t in decreasing order.\nAnswer: 4, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-9481763152405\nAnswer: -9481763152404.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -3 (c) -2\/91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3 - 2*m**2 + 6 - 3*m + m**2 + 4*m. Let o be x(0). Solve 2*g + 0 = 2, g = -q + o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o - 10*o**3 + 242*o**3 + 0*o - 231*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by -57.\nAnswer: -22\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31378 is divided by 7490.\nAnswer: 1418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 7:04 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6330947 + -4?\nAnswer: 6330943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((50\/(-4))\/(-5))\/(10\/6)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -41, -8, 33 in increasing order.\nAnswer: -41, -8, -5, 1, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 8*y + 26. What is o(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 4*g - 3. Let z be w(0). Sort z, -2, 3, 6.\nAnswer: z, -2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3918102 plus 411.26?\nAnswer: 3918513.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1\/3)\/m*m)**(-8)*(m**(-1\/3)\/m)**2)\/(m\/(m*m**(3\/8))*m\/m**(-2\/15))**(7\/6) assuming m is positive.\nAnswer: m**(-6397\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 420 and 38535.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -4*z - 19 + 20, 0 = -5*z - c + 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*u + 29, u - 9 = 3*i - 2*i. Let k(y) = 3*y**2 - 4*y + 2. Let c be k(2). Solve -d - u = -c*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2120050697*-5.\nAnswer: -10600253485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 83007231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -595940775\/1856 + 11213879\/29. Let w = h + -65598. What is the common denominator of -3\/5 and w?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 + k**3 + 85 + 7*k + 5*k**2 - 93. Give q(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**6\/120 + 7*d**5\/60 - d**4\/12 + 7*d**3\/6 + 2*d**2. Let o be 37\/5 - 2*5\/25. Determine c(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-281 - -175)*1\/(-2). Solve 40*a - 13 = -d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 6 - 15 + 14*a - 43. Let i be n(6). What is the highest common factor of i and 352?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2411189 or 1\/3?\nAnswer: -2411189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 2*z + 6. Suppose -p + 0*p - z*r = -9, 3*r = -2*p + 15. Solve -3*s + 4 + 5 = p*i, -2*i + 16 = -3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 3, -26, -93, -210?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-1))\/((-27)\/1314). Let q = l - 2665\/9. What is the common denominator of q and 76\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1246*k + 1211 wrt k.\nAnswer: 1246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.27 - 0.57. Let a be (30\/8 + -2)*4. Let q = -4 + a. Put q, l, -1, -5 in descending order.\nAnswer: q, l, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 6*k - 7561. What is q(275)?\nAnswer: -5911","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3386.\nAnswer: 2, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -7*p**2 + 3*p + p + 0*p + 6*p**2. What are the prime factors of g(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1398476 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4833*n - 7599 = -4483*n - 21949 for n.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - -0.8. Suppose -2*w + 6*w + 4 = 2*g, g = -2*w - 10. Let h = -1.7 - 1.3. Which is the nearest to h? (a) g (b) 0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhahhhhkhhhhhh. Give prob of picking 1 a and 3 h.\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 345097883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 4*t**2 - 5*t**2)*(-1 - 4*t + 1) + 7*t**3 - 37*t**3 + 16*t**3.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - 12371?\nAnswer: -12364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 973081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 3*f - 3*z + 17, -2*z = -3*f + 106. Suppose -2*y - f = -6*y. Solve 0 = 3*j - y*j + 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 573971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of q**6\/105 + 3*q**5\/70 + 10*q - 3. Let i(r) be the first derivative of f(r). Factor i(g).\nAnswer: 2*g**3*(g + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -147.45 + 146. Let c = -8.45 - a. Which is smaller: 3\/2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/((468\/(-14))\/(-3)) and 55\/(-198)*1235\/975?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 0*p**5 + 0*p**4 + 0*p + 219 - 83\/3*p**6 + 0*p**2 + 85*p**3. Find the third derivative of d(j) wrt j.\nAnswer: -9960*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 515.\nAnswer: 14\/515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3428)\/10284*1\/(-3)*6\/14.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*sqrt(55))\/sqrt(11) + sqrt(15)\/(-3*sqrt(243)).\nAnswer: -2 + 107*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584 is divided by 112.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.864 at least as big as 1044?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-3)*r**(3\/2)*(r\/(r**(-3)*r)*r*r)\/r*r\/(r\/(r*r**(-6))))\/((r**(2\/9)*(r*r**(-2\/11))\/r)\/((r*r\/(r*r**(-1)))\/r)**42) assuming r is positive.\nAnswer: r**(9199\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = -14*j + 23 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -880 + 887 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k - 45 = -11*k. Let v = -11 - k. What is the smallest common multiple of v and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4600.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -14*n + 9. Calculate j(-3).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 56 + 60 = 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9689 + 18311 = -250*j for j.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2369*u + 787*u + 745*u - 392 = -781*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 283 divide 23475272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*n**2 + 3*n**2 - 6*n**2 + 2 - 10*n**2 - 216*n to the form m + z*n**2 + r*n and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -770492 by -192623.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from qqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of q**2\/2 + 2. Let n(s) = -3*s**2 + 825*s - 825*s - s**2. Give n(x(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -161 + 12. Let t = l + 151. Let b be (-4)\/(-14) + (-1)\/((-777)\/(-159)). What is the second smallest value in b, 0.1, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -2691?\nAnswer: 1076.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 48410752 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7063*k + 5445*k + 12994*k + 13568*k.\nAnswer: 24944*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144863?\nAnswer: 31, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -24645, -49280, -73915, -98550, -123185, -147820?\n\"Answer: -24635*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -36, 5, -4, -1293 in descending order.\nAnswer: 5, -3, -4, -36, -1293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12639 rounded to two dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -15*q + 18*q - 37, 5*n = 2*q + 17. Solve -3*p - 8 = -n for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -292, -570, -850, -1132?\nAnswer: -1416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*k**2 + 15*k**2 + 16*k**2 + 6*k - 44*k**2 as i*k + s*k**2 + g and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 115 = 5*c + 2*a, -5*c = a - 78. Solve -4*z - c = -4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z - 3*z - 2*z - 2*z + 2*z + z + (3*z + 3*z - 4*z)*(1 - 3 + 4) - 3*z + z + z as h + j*z and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-15)\/(-8))\/(((-74)\/2368)\/((-2)\/8)). Solve 235*x - s = 220*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39876?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1939 - 1939 + 12*o)*(3 - 4 - 1) - 43 - 10*o + 43)*(6 - 4 - 4) to d*o + i and give d.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 12 = 0, -225*h + 223*h - 3 = 3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j + 14*j = 285 - 189 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1379, 2778, 4193, 5624, 7071, 8534, 10013?\n\"Answer: 8*g**2 + 1375*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 351 - 269. What is the remainder when x is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -66?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence acc when three letters picked without replacement from aacacaccacaaacaccca?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**4 - 2*m**2 - m. Let k(r) = -8*r**4 - 44*r**3 - 70*r**2 - 42*r - 8. Let u(a) = -k(a) + 2*o(a). Find w such that u(w) = 0.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*f**2*l**2 + 93*f**2*l + 15*f**2 + 4*f*l - 264*f - 3*l**2 wrt f.\nAnswer: 14*l**2 + 186*l + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 1)*(-26069*p + 26069*p - 23*p**3) as s*p**2 + u*p**3 + d + i*p and give u.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -290508, -1161994, -2614470, -4647936?\nAnswer: -7262392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffavfaaffzfavafav. Give prob of sequence vv.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 12:59 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v. Let k(p) = 4*p**2 - 8*p + 2 + 0*p**2 - p**2 - 1 + 2. Let y(w) = w**2 - 9*w + 4. Let n(r) = 4*k(r) - 3*y(r). Give n(b(h)).\nAnswer: 36*h**2 + 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, w: 12}. What is prob of sequence wn?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1743*r = 1733*r - 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n. Let s(v) = -v. Let g(y) = -6*h(y) + 7*s(y). Let w(r) be the second derivative of 0*r**2 + 1\/4*r**4 - 2*r + 0*r**3 + 0. What is g(w(m))?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 107*j**4\/12 + 1848*j. Let g(r) = r**2. Determine g(s(i)).\nAnswer: 11449*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s - s)*(25 - 25 - 5*s**2) - 5326 + 5326 + 162*s**3.\nAnswer: 167*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 divided by -4?\nAnswer: -71\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001100001011011 (base 2) to base 13.\nAnswer: -38776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -27*t**3 - 12*t**2 - 564*t. Let w(d) = -2*d**3 - d**2 + d. Calculate -k(f) + 12*w(f).\nAnswer: 3*f**3 + 576*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 191 = 229. Let o be (-24)\/9*t\/8. Calculate the highest common divisor of o and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/3 + 5717537*b\/3.\nAnswer: -b*(b - 5717537)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 + 21*l**2 - 4*l - 2. Let m(a) = 3*a**3 - 22*a**2 + 5*a + 3. What is -4*m(w) - 5*r(w)?\nAnswer: -2*w**3 - 17*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 - 71 = 4*t. List the prime factors of (-4)\/(-1) - (357\/t - 3).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27142 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b + 2 - 2. Let f(y) = -6*y + 42. Let r be f(6). Let a(w) = -r + 3 + 2*w**2 + 3. Calculate m(a(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 2. Let b(p) = -p - 6. Let s be b(j). Let m(z) = 560*z**2 + 321*z**2 + 6*z - 5 - 880*z**2. What is m(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1262 is divided by 103?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13998, -15888, -17778, -19668, -21558, -23448?\nAnswer: -25338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49.677 + -0.323. Which is the second smallest value? (a) f (b) 3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence og when two letters picked without replacement from {g: 1, b: 1, r: 2, o: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-1 - 10\/4). Let w = 758.4 - 1185. Let s = w - -427. What is the closest to -0.3 in x, -0.4, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 + 1 + 41 + 7 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -718, -103, 928, 2375, 4238?\n\"Answer: 208*l**2 - 9*l - 917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 7*p + 120. Let h be z(-8). Let a(q) be the third derivative of q**2 + 0 + 0*q**4 - 1\/10*q**5 + 7\/6*q**3 + h*q - 1\/120*q**6. Give a(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/3*(-9)\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10937 is divided by 2177.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o - 38 = 67. Let t = 1.2 - 0.2. Is t <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**4 - 197*d**3 - 3*d**2 + 589*d + 394 = 0.\nAnswer: -1, 2, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 152 - -6111?\nAnswer: 6263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = x - 2 - 2, -5*n + 14 = 2*x. Is 24 a factor of (1 + (-58)\/(-6))*189\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-4))\/(2\/68). Suppose 18 = 5*u + 63. Which is smaller: z or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -6\/11*y**3 + 2\/11*y**4 + 6\/11*y - 10\/11*y**2 + 8\/11 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -144. Let o = c - -130.5. Suppose 0 = 3*d - 5*i + 95 - 19, -5*i = -10. What is the third biggest value in d, o, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -197357, -195197, -191605, -186587, -180149?\nAnswer: -172297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 10575959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -711 + 2*v**2 + 0*v**2 + 711.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-three eighths of a microgram?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16*(-7110)\/(-5688)*(-18)\/10?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ye when two letters picked without replacement from {y: 1, f: 9, o: 2, w: 4, e: 1}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**2 - 1482*d - 1480 = 0.\nAnswer: -740, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20\/6)\/(4\/12). Let u be (-294)\/(-105) + (-8)\/j. Solve 7 = 3*z - u for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-6))\/((-3)\/45). Let q = -0.043 + -26.957. Let p = q - -30. What is the second biggest value in m, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 248 - 252. Is b\/(-26) - ((-593180)\/65 - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11052, 22100, 33148, 44196?\nAnswer: 55244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116 less than or equal to 620?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3443 - 532492694.\nAnswer: -532489251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nunnunnuuu. What is prob of sequence uu?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -310.2 - 65.8. Let f = -375.99674 - y. What is f rounded to four decimal places?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f**3 - 9*f**2 - 9. Let n(u) = -u**3 - 2*u**2 - 2. Determine -9*n(y) + 2*x(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5854 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e10d (base 16) to base 8.\nAnswer: 360415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**4\/12 + 10*b. Let n(u) = -13*u**2. Calculate n(g(r)).\nAnswer: -13*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5426855537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ghnggzhggszngghhhn. What is prob of sequence ggng?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 782599567?\nAnswer: 12713, 61559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33\/13 - 464\/65. Let k = 5756\/1265 - 126\/115. What is the common denominator of k and h?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2*j + 288. Suppose -4*w + 2*q = -q - 121, 0 = -3*w + 4*q + j. Let k = 371 + -63. What is the highest common factor of k and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 4. Let n be p(0). Which is the fourth smallest value? (a) n (b) -4 (c) 2.4 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/(p*(p**(2\/5)*p)\/p))\/p))\/(((p\/(p*p\/(p\/((p\/(p**6*p*p)*p)\/p*p))*p))\/p)\/p*p))\/(p*p**(4\/11)\/p*p*p*p\/p**6) assuming p is positive.\nAnswer: p**(57\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 60561.15l?\nAnswer: 60561150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -51\/2*u**2 - 84 + 33*u. Find the first derivative of s(c) wrt c.\nAnswer: -51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74790 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -10919, 7, 51 in descending order.\nAnswer: 51, 7, 0, -5, -10919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19433\/245 + -397\/5. Let z = -158\/735 - g. What is the second biggest value in z, -3, 2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j - 2*j + 11*j + 37*j**2 - 4. Let z = 11 + -19. Let h be y(z). What is h rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/5*25\/(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1118, -2237, -3356, -4475?\n\"Answer: -1119*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 72788\/(-1860) + (9 - -30)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2 + 5*j. Let a be (0 + 2)\/(-2)*-1. Let s = 87 - 38. Suppose -5*k - a = -5*i + s, i + 2*k = 1. Let x(b) = -4*b**2 - 7*b. Give i*t(l) + 5*x(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1*-0.237404\nAnswer: 0.237404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*c + 10 = 0, 5*h - 2*h = 3*c + 3. Suppose -2*g - 5*k + 314 = 0, -4*g + 5*g + h*k = 162. 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 value of (-66)\/(-4)*(-2268)\/486?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 764336 divided by 191084?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -49*o + 68. Let i be x(-21). Suppose 1456 + i = 3*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**3\/3 + 3*s**2\/2 - 680. Suppose -3*n - 5 - 10 = -3*g, 2*g + 5 = -3*n. Let i(q) = -g*q - 2*q + 5*q. Calculate 5*i(z) - l(z).\nAnswer: -z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 211667134 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-1 - -10) - (-10 - -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5841353, 5841356, 5841359, 5841362, 5841365, 5841368?\n\"Answer: 3*u + 5841350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.4? (a) 4 (b) 76 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 114 + 2 + (-173 - -84 - -46)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2229 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -0.2 (b) 1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18099 = -5*o + 41*o + 1179. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70298, -140628, -211020, -281504, -352110, -422868?\nAnswer: -493808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -2*u**2 - 10 + 2*u - 1\/3*u**4 + 1\/3*u**3. Let q(g) = -g**2 + g - 1. Calculate 2*f(w) - 6*q(w).\nAnswer: -2*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/42 and -7\/810?\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 6*v - 1. Let a(t) = -t**2 - 3*t + 1. Let r be a(-4). Let h be y(r). Let o = h - -25. What is the remainder when 58 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.48217 seconds in nanoseconds?\nAnswer: 46482170000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9447 - -9450. Which is the second smallest value? (a) -76 (b) -2 (c) 3\/7 (d) i (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 50*n - 7 - 49 = 0. Which is greater: -1\/11982 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1923*i + 157710 - 57343 + 130393 = 0 for i.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*b - 234 = -17*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 869 + -783. Calculate the remainder when 600 is divided by z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 496.0154l?\nAnswer: 496015.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1955 and 5060.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((0 + 2)*-2)\/(-1). Solve 0 = 5*q + 3*y - 6 - n, -3*y = q - 14 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 358923.5 nanograms to kilograms.\nAnswer: 0.0000003589235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 845412.\nAnswer: 2, 3, 70451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 381 - 381 - 45*t + 156*t to c*t + s and give c.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -637617 or -637699?\nAnswer: -637699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 0.3, 2, -4, 0.49?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r. Let x(m) = -m**2 + m + 1. Let o(j) = 5*j**2 - 4*j - 4. Let i(h) = -o(h) - 4*x(h). Calculate i(u(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**3 - 4*a**2 + a + 10. Let d(l) = 3*l - 36. Let x be d(12). Calculate the smallest common multiple of (2\/(-4))\/((-1)\/24) and g(x).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -19*n**2\/2 - 2*n + 3092. What is h(2)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 192453, 192448, 192441, 192432, 192421?\nAnswer: 192408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -4416\/5, 1\/27 in decreasing order.\nAnswer: 0.4, 1\/27, -4416\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*t + 7842 - 7818. Solve -23*k + t = -24*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.55 + -0.41. Let f = 1.13 - z. Round f to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -101362*n + 101360*n - 113, 2*n + 148 = -4*a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -373, -655, -755, -583, -49?\n\"Answer: 15*t**3 + t**2 - 390*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 24*m + 18. Let x(j) = -3*j + 0*j + 0 - 4*j - 5. Give -5*r(p) - 18*x(p).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 260149381941 and 0.0144.\nAnswer: 260149381941.0144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -508309.4 * 15.\nAnswer: -7624641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14095 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10715\/3 + -3558. What is the second smallest value in 2\/75, -4, n?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 495525.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, -1, 1.62, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -633\nAnswer: -316.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/6 - (-71)\/3. Let k(h) = 1272*h**3 - h**2 - h + 1. Let v be k(1). Suppose -431 = 5*y - v. What is the greatest common divisor of y and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4, -1 in decreasing order.\nAnswer: 7, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 509 = 510, 2*i + 10 = 3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of i**6\/120 - i**5\/12 + i**4\/6 + 399*i**2. Factor c(y).\nAnswer: y*(y - 4)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 - 207 = -39*v. Let t(y) = -y + 1. Let x be t(-6). Solve 3*u = x*u - v for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4*n**(-24))**(2\/77) assuming n is positive.\nAnswer: n**(-40\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9042300 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 + 0*p**2 + 42295*p**4 + 2*p - 42320*p**4 + 7 in the form x*p**3 + j*p + c + y*p**2 + s*p**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.9 + 0.3. Sort c, 6, -0.5.\nAnswer: c, -0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjvivvvq. Give prob of sequence ij.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y + 67 = 2 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 24 = -o, 4*o - 12 - 8 = 0. Let r = 108 + x. List the prime factors of r.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114772305 is divided by 1738.\nAnswer: 1737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 6:17 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + 56\/(-16))\/((-365)\/2190).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*n = 2322 - 1386 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdw. What is prob of picking 1 w and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 147 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.15 + -0.85. Suppose 4*w = -40, 5*k = 139*w - 144*w - 75. Let t = 16 + -16. What is the third biggest value in k, t, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1631425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n - 180 = -42*n. Sort -15, -3, n, -2 in decreasing order.\nAnswer: n, -2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 11:34 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**3 + 15*c**2 - 2*c + 14. Let z = 642 - 632. Let i be x(z). What is i rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 7) in base 2?\nAnswer: -100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1584) + sqrt(55)\/sqrt(5) + 5.\nAnswer: 5 + 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -2. Let y be 5 + (2585\/(-45))\/11. Which is greater: y or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = f - 1458, -5*q + 2*f + 4349 = 722. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8713321 is divided by 2178329.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2772046?\nAnswer: 2, 101, 13723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.8 + 3.9. What is the closest to q in -4\/9, -2\/7, -4\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18495218 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 2:00 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -76079940 rounded to the nearest ten thousand?\nAnswer: -76080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71 + -120. Let k = c + 33. Let b = 17 + k. Sort b, -0.5, -5.\nAnswer: -5, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4228 + 4232. Solve 0 = -q + 4*k - 17, 8*k = -2*q + t*k + 26 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -2*h**3\/3 + 83. Let a(b) be the first derivative of -11*b**3\/3 - 2. Calculate a(j(k)).\nAnswer: -44*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1994 and 16.\nAnswer: 15952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3073441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26b + 2?\nAnswer: 26d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 1\/5, 223, 5, -4?\nAnswer: 223","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 0, -6*z + 10*z + 3*w = 44. List the prime factors of 7\/((z\/82)\/11).\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8489496?\nAnswer: 2, 3, 277, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 8*v**2 - 23*v + 306. Give i(6).\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*u**3 - 696*u**3 - 107*u**3 + 27*u**3 - 760*u**3.\nAnswer: -1307*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 5*b**3\/6 + 1333*b. Let o(r) = 3*r**2 - 4*r**2 - 5*r**2. What is o(f(k))?\nAnswer: -150*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -10*p + p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 60537.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 58*d + 865. Determine n(33).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 17*q**2 - 4*q - 2. Does 7 divide t(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 340600 to the nearest ten thousand.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -9*z + 1. Suppose -26 = -2*f + 4*b, -17*f = -19*f - b + 6. What is k(f)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 (base 16) in base 9?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 16.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/7))**(6\/23)*(x*x*x**(-1\/4))**(-33\/5) assuming x is positive.\nAnswer: x**(-36951\/3220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**2*d*l**3 + 31*a**2 - 6*a*l**3 - 76*d*l + 2 with respect to d.\nAnswer: a**2*l**3 - 76*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w**2 - 3*w. Let k(m) = -11*m**2 - 10*m - 2. Let j(n) = n**2 - n - 1. Let g(t) = -2*j(t) + k(t). What is 11*d(p) - 4*g(p)?\nAnswer: 8*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4871\/7 + 697. Let j = -21\/5 + 157\/35. Which is the nearest to -2\/5? (a) p (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a week in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**4 + y**4 + 0*y**4 + (14 - 7*y + 3*y - 20)*(2*y**3 - 3*y**3 + 9*y**3).\nAnswer: -30*y**4 - 48*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**6\/10 + 2*o**5\/5 - 7*o**4\/12 + o**3\/3 + 15*o. Factor v(j).\nAnswer: -j*(j - 1)**2*(3*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (44 - 0)*(-2)\/(-4). Suppose 2*b + 3*q = 54, 0*q - 79 = -3*b - 4*q. Does 26 divide j + (-7)\/(b\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((-48)\/(-36))\/((-4)\/(-5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, d: 6, g: 6}. What is prob of picking 2 d?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.38031 litres to millilitres.\nAnswer: 95380.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 312874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -198852 (base 12) in base 2?\nAnswer: -1101101111110111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/12*(-9581)\/1716.\nAnswer: 67\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1539, 3087, 4641, 6201, 7767, 9339?\nAnswer: 10917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -35, 0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*l - 10. Solve -l*p = -9 - 16 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3. Let n be 7\/(-84) - (1 + (-9)\/12). Which is the nearest to -0.1? (a) n (b) x (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -9*s + 980. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 9. Let o(j) be the third derivative of j**6\/120 + j**5\/15 + 5*j**3\/6 + 4*j**2. Let c be o(-4). Solve -a = c*g + 11 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 255 + -257. Let s be 38\/76*2*q\/8. Suppose 5*r + 0 - 5 = 0. What is the closest to s in -14\/3, r, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80649.02 rounded to the nearest ten?\nAnswer: 80650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 0*s**5 + 0*s**7 + 1\/12*s**4 - 1\/14*s**8 + 0*s + 17*s**2 + 0 + 0*s**6 + 0*s**3. What is the second derivative of x(k) wrt k?\nAnswer: -480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 9. Let u be h(4). Solve -m - m + 5 = -5*l, u*m = l + 24 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -506, -3, 0, -4 in decreasing order.\nAnswer: 0, -3, -4, -506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 18. What is b(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 84129 to the power of 1\/2, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + p - p)*(0 - 4 - 4*p + 2)*(-10*p - 5*p - 3*p)*(-5 - 11 + 1)*(0*p + p + 0*p) as v*p**4 + r*p**3 + g + k*p + b*p**2 and give v.\nAnswer: 2160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 30*(-6)\/(-162)*3\/4\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -777*z**5\/5 - 22*z**3\/3 + 911. What is the third derivative of b(g) wrt g?\nAnswer: -18648*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 140*s + 1. Let p(z) = -2*z**2 + 276*z + 3. What is 5*f(a) - 2*p(a)?\nAnswer: -a**2 + 148*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2, 1132, 0.3, -1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.138 + 9.838. Let r = p + -6. Suppose -2*j - 6 = -2*q, -126*q - 21 = -133*q. Which is smaller: j or r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62636, 125276, 187916, 250556, 313196, 375836?\nAnswer: 438476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = -3*l + 2*v, -2*l + 6*l - 305 = v. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3711624 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 9 = 5*f - 1, -5*f - 5 = 0. Solve -3*x + x - 10 = 0, -4*o + 1 = t*x for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 4*a + 15 = 0, 5*a + 452 = -f + 440 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5001 is divided by 1246?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 375375900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 115*m**2 + 133*m. Let o(g) = 3*g**2. Let b(f) = -6*o(f) + q(f). Find the second derivative of b(v) wrt v.\nAnswer: 194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -223.83085 and -0.2?\nAnswer: 44.76617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 956*m**2 - 534*m**2 - 447*m**2.\nAnswer: -25*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3281 and 1205466808.\nAnswer: 1205466807.6719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -28.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -203a?\nAnswer: -2039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 121915 and 390905?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*m - 5*u + 4*u, 4*m = -2*u + 14. Put m, -3, -44 in descending order.\nAnswer: m, -3, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = l. Suppose 0 = -2*o - 3*h + 14, 7 = o + 2*h - l*h. What is the highest common divisor of o and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 118, 368, 778, 1342, 2054, 2908?\n\"Answer: -s**3 + 86*s**2 - s + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6171785 divided by 2?\nAnswer: -6171785\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -21733.03324 and -0.026458?\nAnswer: 21733.006782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 61092\nAnswer: 1\/30546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50505 = -31*s + 49*s - 129*s. Is -452 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p. Let z(u) = -u**2 - u + 1. Let n(q) = -21*q**2 - 35*q + 35. Let i(v) = 3*n(v) - 105*z(v). Calculate i(s(k)).\nAnswer: 168*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 532 + -460. What is the least common multiple of m and 32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2277085021 to the power of 1\/2, to the nearest integer?\nAnswer: 47719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -2128.\nAnswer: -2127.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 3*h - 218642, -4*g + h = -152481 - 22453. What are the prime factors of g?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 3617 + 451. Which is smaller: -2039 or y?\nAnswer: -2039","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4789783 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*a = -4451 + 4819. Solve -4\/13*p**4 - 2\/13*p**5 - a*p + 8\/13*p**2 + 12\/13 + 12\/13*p**3 = 0 for p.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2588810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.51, -0.8, 34, -0.2 in descending order.\nAnswer: 34, -0.2, -0.51, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 3*n + 2*n)*(4930*n + 17 - n**2 - 17 + 3215*n).\nAnswer: -n**3 + 8145*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 720\/(-420)*(-5)\/(30\/84)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12702650 greater than or equal to -12702647?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21963*k**2 + 2666*k**2 - 36159*k**2 + 3128*k**2 + 4202*k**2.\nAnswer: -48126*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9\/(-27))\/(4\/60))\/((-282)\/47)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32791208 - -0.1.\nAnswer: -32791207.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3435 (base 6) in base 3?\nAnswer: 1010012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (61 + -44)) + -111?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-11)*(w*w*w*w\/(w**(-14)\/w))\/w*w*w)**41 assuming w is positive.\nAnswer: w**410","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*-1*((-169)\/(-26) - 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 195 and 10905?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 4*i + 31 - 10, 0 = -3*s - 3*i + 33. Suppose -s = -w - 0*w. Let l(m) = m**2 - 8*m + 20. What is the remainder when w is divided by l(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.674.\nAnswer: 0.1348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - 44. Let x = f - -13.4. Which is the third smallest value? (a) 5\/2 (b) -1\/2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3 + 46*r - 2 + 32*r. Is j(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1013000320 (base 5) in base 13?\nAnswer: -579c14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*n = 23, 34 = 5*q + 3*n + 6. Calculate the remainder when q is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2481.1 - 2481. Which is the closest to u? (a) -3\/4 (b) 2 (c) -0.11 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xlhyjrrxyyxjj. What is prob of picking 1 l, 1 x, and 1 j?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7661, 7024, 5963, 4478, 2569?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -155655*p**4 + 375995*p**2?\nAnswer: -3735720*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*i**5 + 3245*i**4 + 26*i**2 - i + 68 wrt i.\nAnswer: 360*i**2 + 77880*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 - 1.05. Let z = -0.25 - k. Let l = z + 0.7. Sort 2\/13, -0.4, l.\nAnswer: -0.4, 2\/13, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 120008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -6.5. Let z = -41.6 + 42. What is the second smallest value in z, -1\/6, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - c - 47 = -2*f, 38 = 3*f + 5*c. What is the highest common divisor of 42 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 0, -7, -761.\nAnswer: -761, -7, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - c + 30530 = 30525, -5*l + 1 = -9*c for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 2. Let m(j) = -j**3 + 5*j**2 + 7*j - 3. Let l be m(g). Let t be (168\/l)\/((-3)\/(-8)). Solve -5*a - 15 = 4*k, 2*k + t = a + 3*a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2 - 26*q + 63. Let h be z(7). Solve h = -5*o - 2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 9. Let h(u) = -3*u**2 + 5*u + 5. Let r(b) = 3*b**2 - 4*b - 4. Determine y*h(i) - 5*r(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -80 + 83.05. Let p = r - 0.05. Which is the biggest value? (a) -0.5 (b) p (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 22868, 45803, 68802, 91865, 114992, 138183?\n\"Answer: 32*n**2 + 22839*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1971 - -5579. Is 3606 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(228)*-1 + sqrt(228))*5)\/(sqrt(768)*-3*-1)*-6 + -2)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*x + 77 = 0. What is the greatest common factor of x and 110?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*m + 0 - 20 + 16 in the form k*m + v and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 64*i**3 + 4*i**2 - 10*i + 84. Let a(n) = 14*n**3 + n**2 - 2*n + 17. Determine -14*a(h) + 3*y(h).\nAnswer: -4*h**3 - 2*h**2 - 2*h + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (33\/1)\/(-4 + (-43)\/(-10)). Let i = 629 + a. Does 18 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 22. Suppose 2*a - 1 - 15 = n. Suppose -5*t + 170 = 5*q, -3*t + 5*q = -0*t - 86. Calculate the highest common divisor of a and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1079116 is divided by 280.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyz when three letters picked without replacement from zzyy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 10:37 PM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*z + p = 97*z + 6393, 0 = -2*z + 5*p + 6375. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51138 and 468.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/((sqrt(80)\/sqrt(10))\/sqrt(2))*-3.\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11746014?\nAnswer: 2, 3, 7, 17, 16451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*d**3 + 0*d - 2\/9*d**4 + 2\/9*d**2 + 0 = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70 - (-10 + (21 - 19) + 34)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 10, -2\/7, -404?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8694, 22, -10 in increasing order.\nAnswer: -10, 22, 8694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-195)\/4368)\/(585\/312)\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -13*b. Let t(y) be the first derivative of y**2 + 26*y + 709. What is t(h(f))?\nAnswer: -26*f + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*r - 39*r - 4 + 16*r + 36*r to the form m + x*r and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/56)\/((-6552)\/7056)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 686218 to the power of 1\/2, to the nearest integer?\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 12*u**2 - 56*u - 1795. Calculate o(10).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58932 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 156*o**2 + 11*o**3 + 14109*o**4 + 1069*o - 14107*o**4 - 1067*o to the form x + r*o + w*o**4 + v*o**2 + i*o**3 and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**15)\/x)\/(x*x**(9\/7)) assuming x is positive.\nAnswer: x**(-121\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 55542, 55541, 55538, 55539, 55550, 55577?\n\"Answer: j**3 - 7*j**2 + 13*j + 55535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.349 take away -17.5?\nAnswer: 17.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c**2 + 8*c + 5. Let d be i(-5). Let y be (100\/6)\/5*3. What is the highest common factor of d and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 38276047 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-5))\/((-12)\/60). Suppose 2*z = -i*b + 12, -3*z + 30 = 5*b + z. Calculate the smallest common multiple of b and (5 + 84\/(-18))*24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*g + 82*g - 2*f + 81 = 0, 6*f - 25 = f. Let h = 3\/23 + -35\/92. Is h greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -816, -26187, 1 in ascending order.\nAnswer: -26187, -816, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 4*t - 6. Let w(b) = b**3 - 5*b**2 + 2*b - 3. Let z be w(5). Let l be p(z). Let i be (4\/12)\/(1\/l). Solve 0 = -5*v + 10 + i for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28127.9985519 + 28128. Round a to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2996?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44328\/32 - 4*1\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a day in seconds?\nAnswer: 24192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(45))*-6 + sqrt(405) + sqrt(405) + (sqrt(405) + sqrt(405) + 0 + sqrt(405) - sqrt(405) - sqrt(405)))**2.\nAnswer: 324*sqrt(5) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1444*i - 22068 = -75496 for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2022?\nAnswer: 2, 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 267*u**5 - 589017*u**4 - 10783*u**2 - 6111*u?\nAnswer: 16020*u**2 - 14136408*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1498125.\nAnswer: 3, 5, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 371045, 371113, 371181, 371249?\n\"Answer: 68*u + 370977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 104900000 rounded to the nearest one million?\nAnswer: 105000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1882981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.261 - 3.261. Which is the biggest value? (a) 3\/8 (b) j (c) 46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -9.7895854\nAnswer: 48.947927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**3*b**3 + 125668*a**3*b**2*j**2 - 76*a**2*b**3*j**2 - 2*a**2*b**3*j - 5*a**2*j + 3*a*b**3 + 18*j**2 wrt a?\nAnswer: 6*b**3 + 754008*b**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -10. Let y be 3 + 14 - (4 - j). Is 230\/y - 2\/6 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 26697857 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**7\/39 + 12*h**6\/65 - 27*h**5\/65 + 14*h**4\/39 - h**3\/13 + 3*h - 5. Solve i(g) = 0.\nAnswer: 0, 1\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 3*f, -176*w + 38 = -179*w - 10*f for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 2*r. Let d(n) be the second derivative of n**4\/24 - 67*n**2\/2 - 2*n - 39. Let z(a) be the first derivative of d(a). Give 3*j(q) + 6*z(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/9, 0.03, -6, 2, 4, 3363?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168)\/(-21) + (3 - 710\/65)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 0. Let l = 1 + -1. Suppose 5*t + 5*z = -15, -4*t - 13 = -2*z + 5*z. What is the second biggest value in u, l, t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54 - -59. Suppose -18 = -p*r - 3. Suppose -o = c - 13, -2 = r*c - o - 33. Calculate the greatest common factor of c and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -61, -151, -267, -403, -553?\nAnswer: -711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 2991472*s - 559306545424.\nAnswer: -4*(s - 373934)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 6*g + 5. Let s be k(4). What is the smallest common multiple of 2 and 3*s\/(-6)*8?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19.2 + 2.8. Let p = -12.7 + s. Round p to 0 decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) -2 (c) -0.2 (d) 35 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13170571 by -5.\nAnswer: 13170571\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ntntjtnbjjjqntjn. Give prob of sequence tbjt.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mz when two letters picked without replacement from zmzzzzzmimimizi.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22374241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*c*k**2*s - 3*c*k*s**2 + 2*c*k*s + 4*c*s**2 - 2*k**2*s**2 - 16*k**2*s wrt k.\nAnswer: -16*c*s - 4*s**2 - 32*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 11 and 89\/8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 13*i - 114. Determine n(6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71692934.\nAnswer: 2, 61, 199, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -7, -5, -7170, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 110\/(-176)*(-8)\/(-60)*(-7)\/((-322)\/(-12)).\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -401431 by 53.\nAnswer: -401431\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/1451142 and -83\/138204.\nAnswer: 2902284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*m + 4*m. Let a be -1 + 17 + (4 - 2). Is m\/a + 1587\/27 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s + 8*s**2 + 4*s + 3 - 6. Let n be a(-3). Let p = n + -25. Is 25 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*-1*(-2)\/(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36a64 (base 15) in base 11?\nAnswer: 10a099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 235*z + 630. Let m(d) = 118*d + 315. Let u(v) = 2*g(v) - 5*m(v). Differentiate u(q) wrt q.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20543005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16288 is divided by 16030?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 9:04 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28.3 - 20.3. What is the second biggest value in 0.2, q, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -100*k**4 + 32*k**4 - 609 + 499 + 2*k wrt k.\nAnswer: -816*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5478, 5207, 4746, 4095, 3254?\nAnswer: 2223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 3*c + 2*w - 10, -3*c - 21 = -3*w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/7, 2\/3, 4, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, e: 3, b: 1, m: 3}. What is prob of sequence gm?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/(sqrt(45)\/sqrt(9)))\/sqrt(4))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*o + 4*o - 6*o)*(1 + 0 - 3)*(-4 + 2 + 4).\nAnswer: 48*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -4 (c) 1 (d) -284\/7 (e) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, n: 2, u: 2}. What is prob of picking 1 m and 2 n?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 z, and 1 q when four letters picked without replacement from vvlzqzv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -102609597\/3854 + 852878\/47. Let i = 8479 + z. What is the common denominator of i and -87\/22?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.28 + 0.0387?\nAnswer: -19.2413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 36054375 to the nearest 1000000.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -3*m + 17, 5*u + 4 + 7 = -3*m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -395ad3 - 3?\nAnswer: -395ad6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (74\/(-5))\/(6\/(-60)). Let d = 152 + m. Solve w = -d*y + 3 - 1, -5*y - 4*w = 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000015731688 to seven dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11261 - -11458. What is the remainder when 426 is divided by g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**5\/4 + 160*x**4 + 85595*x**3\/4 + 866395*x**2\/2 - 1496400*x = 0. What is x?\nAnswer: -58, -32, 0, 3, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165399019?\nAnswer: 139, 797, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/8 (b) 10960 (c) -1\/6 (d) -0.18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17423 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2988 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20798003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301 = 216*f - 293 - 486. Let w be 8\/(-2)*(-10)\/8. Solve f*q + 5*a = a - 2, -q = -w*a - 17 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 456251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -2\/23, -5, 6?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + p + 9, -3*p + 13 = -5*b - 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 8*z - 6. What is the remainder when p(4) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2\/7, -117, 0.028, -3\/4.\nAnswer: -117, -3\/4, -0.5, 0.028, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*r = -10. Let o(c) = 3*c**2 + 98*c - 213. Let s be o(2). Sort r, s, 6 in decreasing order.\nAnswer: 6, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60658*q**5 + 85*q + 177?\nAnswer: -1213160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -295*s**2 - 166. Let g(c) = -4*c**2. Calculate a(g(q)).\nAnswer: -4720*q**4 - 166","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174.6 + 5650716.483.\nAnswer: 5650541.883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2632 (base 12) to base 6.\nAnswer: 32102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 280.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0 + 2 = -4*f, 2*v + 10 = 3*f. Suppose 0 = -k + 2*j + 20, -j + 1 - f = 0. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 55 - 17. Suppose 3*t - 9*t + f = 0. What is the second derivative of -2*k + t*k**2 + 10*k + 4*k**2 wrt k?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 1. Let o be 1 + ((-1)\/1 - -1). Let v be n(o). Suppose -5*g + v = -220. Does 23 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 440.2746*-0.1\nAnswer: -44.02746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -10*x - 4714. Let i(h) = -16*h - 4703. Calculate -2*i(u) + 3*s(u).\nAnswer: 2*u - 4736","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2590*l**2 - 3481*l**2 - 2*l**3 - 5144*l**2 to the form f + c*l**3 + u*l**2 + i*l and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuauaahuaau. What is prob of sequence uu?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/12*-12)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 1244*x**2. Let h(k) = 1158*k - 43. Determine h(p(t)).\nAnswer: 1440552*t**2 - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1606448152.\nAnswer: 2, 103, 1949573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 16*x**3 + 11*x**2 + 23*x + 2. Let g(p) = -13*p**3 - 12*p**2 - 24*p - 1. Let u(q) = 5*g(q) + 4*h(q). Let j be u(-14). Solve 2*a - j*a + 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c**2 + 0*c**2 + 3*c**2)*(-77*c - 18*c + 24*c) to m*c**2 + x + l*c + v*c**3 and give v.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-497)\/(-4) + (-11)\/44. Suppose -3 = 4*o + 17, 3*o - t = -a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 2*k - 78, -5*l - k = -3*l - 32. Suppose 0 = -a + 16 - l. Solve -5*g + 8 = 3*i, 4*g - 20 = 3*i - a*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 48?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146444 is divided by 46?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 10*n - 15. Let z be g(-6). Suppose -6*i = -z*i - 2*i. Suppose -4*s - 2*d + 42 = i, 0*s + 62 = 4*s - 2*d. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2607*p - 109. Is n(-1) a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26912519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -310 + 536. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*l = 38*l - 2652. Let v = 452 - l. What is the least common multiple of v and 214?\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 - -22. Let k = x + 12. Let v be -3 - 94*4\/(-120). Sort v, -2\/11, k in descending order.\nAnswer: v, k, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 453 in -1\/4, 4, 2\/139?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3640 + 3650. Let h = -3 + 1. Calculate the remainder when 33 + ((-4)\/h)\/1 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 6:13 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25013760*a - 60614335.\nAnswer: -25013760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 771*k - 346. Is 37 a factor of f(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 140 + -284. Let j = 164 + z. Solve -21*k + 16*k = -j for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 5:19 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -18662?\nAnswer: 18666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/250 and 61\/30.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 6135 = 16270. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**9\/3024 + m**8\/672 - m**6\/72 - m**5\/24 + 2*m**4\/3 + 26*m. Let s(u) be the third derivative of g(u). Factor s(c).\nAnswer: 5*(c - 1)*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2723 and 1278643?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -12474, -2 in descending order.\nAnswer: 5, -2, -12474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*r + 12 = -170*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1380)\/(-27 + -3) - 36\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105840 and 5362560.\nAnswer: 16087680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 319. Let q(x) = -9*x**2 - 3*x. Calculate t(q(u)).\nAnswer: 9*u**2 + 3*u + 319","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c - 1. Let u(m) = 3*m - 1. Let x(r) = 2*o(r) - 3*u(r). Let n be x(-3). Find the second derivative of 2*z - z**5 - 5*z**n + 5*z**4 + 2*z**5 wrt z.\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(2\/19)*j))\/(j\/j**(2\/25))*(((j**(1\/4)\/j*j)\/j)\/j)**(-2\/7) assuming j is positive.\nAnswer: j**(-1249\/950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -24*r - 1714. Give f(-52).\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/9 - 124*s\/3.\nAnswer: -2*s*(s + 186)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -436 from -0.3.\nAnswer: 435.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l - 60 = 4*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7282 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6*g**2. Let r(q) be the third derivative of q**5\/60 - 139*q**4\/6 + 206*q**2 + 3. Calculate r(w(t)).\nAnswer: 36*t**4 + 3336*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 2:43 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 68099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 6. Let a be 2\/q*4023\/6. Suppose -4*u = -7*u + a. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -439*i**2 - 187*i**2 - 308*i**2 + 217*i**2 to x + w*i**2 + g*i and give w.\nAnswer: -717","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120, -163, -90, 147, 596, 1305?\nAnswer: 2322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1160)\/(-1392))\/(2\/12). Solve 3*c + 2*m = -5 - 2, m + b = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 23, 5, -39, -121, -253?\n\"Answer: -2*y**3 - y**2 - y + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-35)*c*c)\/(c\/((c**(-40)*c)\/c*c*c))*(c\/(c*c\/c**(-2\/13)*c*c))\/(c\/((c*(((c\/(c\/(c*c*(c*c**36)\/c)))\/c)\/c)\/c)\/c)) assuming c is positive.\nAnswer: c**(-535\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 384349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 1\/353510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6912 - -131330\/19. What is the closest to -7\/3 in 2\/11, -2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2450, -5167, -7896, -10643, -13414?\n\"Answer: -b**3 - 2710*b + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 6699629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -440.6861 + -0.16.\nAnswer: -440.8461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6) - (-2)\/3. Let w be ((-5)\/2)\/(t\/(-8)). Solve 5*n + 0 + w = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 8*g - 22. Let l = -5 - -9. Suppose 0 = -6*u - 0*u + 24. What is the remainder when s(l) is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -16. Calculate the remainder when 0\/(-1) - (3 - 16) is divided by ((-2)\/10)\/(y\/(-10)) - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**3\/6 + 6*k. Let f(z) = 2*z**2. Calculate h(f(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 193 + -201. Let i(h) = 20*h**3 - 8. Let y(x) = -13*x**3 - 5 + 0 + 10. Calculate s*y(w) - 5*i(w).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.162 * -0.0451.\nAnswer: -0.0073062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + (((sqrt(88)*1 - sqrt(88))*5)\/(sqrt(1100) - (1*sqrt(1100) - sqrt(1100))))**2)*6.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*l + 424 = 0, -l + 6*l + 432 = 4*m. Let a = -206 + m. What is the hundreds digit of (4 - 3)*-2 - a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -67*q**3*x + q**3 - 824*q**2*x - 1501870*q**2 + 8*q - 224*x - 3 wrt x?\nAnswer: -67*q**3 - 824*q**2 - 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83170348 divided by 7.\nAnswer: 83170348\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1028*m + 10 = 1027*m - 3*c, 4*m + 3*c + 13 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 0.2 (b) -0.02 (c) 0 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 11*i**2 + 7*i + 8. Let x = -159 - -89. Let r be (36\/15)\/((-21)\/x). List the prime factors of v(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -1690*j - 21. Let r(a) = -384*a - 5. Let v(p) = -5*i(p) + 22*r(p). Let w(s) = -8 + 4*s - 10 + 7. Determine 13*v(b) - 6*w(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11065 * 5.17.\nAnswer: -57206.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 103814299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3719 - 3844 = -25*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(3*sqrt(2)*4) + ((sqrt(448))**2 - sqrt(315)\/sqrt(5)) + -5.\nAnswer: -35*sqrt(7)\/12 + 443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 118, 0, 8, -1 in ascending order.\nAnswer: -1, 0, 4, 8, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(18)\/sqrt(3))\/(sqrt(4)\/(sqrt(2) - 2*sqrt(2) - sqrt(2))).\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 34693.\nAnswer: 5\/34693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 35*x**2 + 79*x + 225. Let a be y(-37). Is a > 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - w**2 + w - 32. Let m be y(0). Let d = 59 + m. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16206, -32446, -48686?\nAnswer: -64926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 584*r + 5773. Determine b(-10).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, 60, -5, 5066, -3 in descending order.\nAnswer: 5066, 68, 60, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 11) + 10 + -6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 13*k**2 + 10 + 4*k - 1009*k**3 + 1011*k**3 - 2. Let x = -2 + -4. Is o(x) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*l + 4*l. Let a = l - -5. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**13*p*p**(4\/3)*p*p**(1\/12)\/(p\/(p**(-1\/17)\/p)))**(-1\/39) assuming p is positive.\nAnswer: p**(-241\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 13 - 45. Let t(h) = h. Let y be t(0). Suppose 2*v + 8 = y, -j = 4*n + n + 2*v. Solve 3*d - 6*d = n for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -6a9?\nAnswer: -6a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyjywyyyiiwxty. Give prob of picking 1 i and 1 t.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2809 = 3*a + 5*o, -4*o = a + 3*a - 3732. Find the third derivative of c + c + c + 1048*c**3 - a*c**3 + 9*c**2 wrt c.\nAnswer: 720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 17*r - 3 = -142, -3*q = 2*r + 9 + 17 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 788266687 to the power of 1\/2, to the nearest integer?\nAnswer: 28076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 5248278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 367229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttbbtbttttttbtbbt. What is prob of sequence ttbt?\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 327 - 282.05. Let g = 45 - a. Let l = g + 0.95. What is the third smallest value in -4\/5, 2, -1\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -55 and -34.398?\nAnswer: 1891.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 + -21. Let o(q) = 4*q. Calculate the least common multiple of o(4) and t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 2*b - 24 = -5*o, 0 = -5*o + 2*b + 27 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hheiewhheiehhwhh. What is prob of picking 1 e and 1 h?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/3)\/(h*h**(-41)*h))\/(h\/h**45*h**(-1\/59)*h) assuming h is positive.\nAnswer: h**(14399\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -u + 18, 6 = -4*m - 10. Let s(o) = 30816*o**2 + u + 263627*o**2 + 12*o - 7*o. Let f be s(6). What is f rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2310 = -w. Suppose 37 - w = -2*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.04, 0, -7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 61 + (5 - (-29 + -4)) + 1408 + -1430.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*a + 7*a + 26*a)*(a + 0*a - 2*a) + (-2 + 3*a + 2)*(-4*a + 7*a + 3*a))*(-a**2 + 0*a**2 - 5*a**2).\nAnswer: 72*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 12*g**2. Let d be w(1). Suppose -5*y + d = -y. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2793a05 (base 12) to base 9.\nAnswer: -15781375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u**2 + 35*u - 100. What is the remainder when 43 is divided by r(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 26\/3, -0.059, -5, -0.5?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 35 = 4*v. Let i be v\/3*3*-1. Let h = i + -12. Sort h, -1, -3 in decreasing order.\nAnswer: -1, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -177 - -177. Suppose -56 = 5*o - 46, h = -2*i - 4*o - 5060008. Round i to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6253.586 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*g + 2390 = -4540. Solve -g*d = 31 - 361 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 4:01 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r**2. Let t(h) = 58*h. Determine y(t(g)).\nAnswer: 16820*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -h - 21. Suppose h = 3*i - 2*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1521753 * -0.5.\nAnswer: -0.57608765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42.689996767 + 42.69. Round w to seven dps.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1166a15 (base 11) to base 4.\nAnswer: 13233201212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 1\/3*i**3 + 5*i - 5\/2*i**2 - 7. Suppose 2*a = -a + 15. Let s(o) = o**2 - 2*o + 2. Give a*s(q) - 2*l(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11248446 = -537*b + 7093068 + 6263289. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-14)\/483)\/((-16)\/6126). Let d = -68\/69 - c. What is the common denominator of (-2244)\/(-840) + 4\/10 and d?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 62*h**2 + 130*h - 49. Determine o(64).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -4 + -6 + (-7 - (-9 - -15))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6968281 + -745.\nAnswer: -6969026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 8*g + 34*g**3 + 4*g + g + 3 in the form h*g + v*g**3 + o*g**2 + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39900 and 228.\nAnswer: 39900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i**2 - 125*i - 15. What is o(-31)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*g = -8, 5*z + 0*g - 20 = 5*g. Let f(r) = 28*r - 67. Does 5 divide f(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*m = 4*n - 12, 2*n - 27 = 5*m. List the prime factors of ((-1)\/n)\/(2\/(-434)).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77389?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2 + 11*z - 10. Let v(p) = p**2 - 6*p + 5. Let b(k) = -6*r(k) - 11*v(k). Let m(x) = 2*x**2 + 6. What is -6*b(h) + 5*m(h)?\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 divided by 3?\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bpcpz. Give prob of picking 2 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/6*4)\/2. Suppose 3*a + n*m = 3, -2*a + 6 = -m - m. Is a + 2 + 1*75 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 38\/35833?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 13) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -331 + 606. Suppose 0 = -9*m - t + 2120. What are the prime factors of m?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 + -59. Which is the third smallest value? (a) m (b) 0 (c) -0.1 (d) 0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12*-3.1.\nAnswer: -0.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*b - 43*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h + 513 - 39. List the prime factors of h.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/17 (b) -4 (c) 5 (d) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**0\/c*c))**(19\/4)\/(c**(-7\/6)*((c*(c**(-16\/3)*c)\/c)\/c)\/c) assuming c is positive.\nAnswer: c**(49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47808 divided by 83.\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3940\/(-9850)*15\/(-129)\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x. Let w(l) = -l**2 + 7*l. Calculate -6*c(f) + w(f).\nAnswer: -f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13702752 is divided by 810?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**2 + 4*r**2 + 2*r**2)*(3*r - 2*r - 3*r) + 8*r**3 + 40*r**2 - 40*r**2 + (-r + 6*r - 3*r)*(r**2 + 18*r - 18*r).\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (49\/56)\/((-15)\/(-40)). Let a(b) = b**2 + 9*b - 5. Let s be (-26)\/91 + 122\/(-14). Let o be a(s). What is the third smallest value in -2\/5, o, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240563 is divided by 216?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221322 (base 4) to base 14.\nAnswer: -d98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 117 and 78.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -109.0656 + 109. Let o = -11.4856 - p. Round o to 0 decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*x - 27*x - 29*x + 13*x + 5041*x**3.\nAnswer: 5041*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 531. Let s be u(0). Suppose -3*a - 2*w = -s, -a + 21 = -3*w - 145. Suppose 4*k = -k + a. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + o = -5, 5*o = 66*r - 62*r - 25 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c*t**2*w + 1435*c*t**2 - 27*c*t - 111436*t*w**2 wrt w?\nAnswer: 2*c*t**2 - 222872*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -25. Let u = w - 12.8. Which is the smallest value? (a) -3 (b) u (c) 3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -19. Solve -2*j - 4*d + f = -2, j + 25 = 4*d for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72720 to the power of 1\/2, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 15157819 to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 - (-18 + 39) - (1 + -8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 139 and 1000105?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 197878.4 seconds?\nAnswer: 197878400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 5. Let c = k + -7.45. What is c rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**5\/12 + b**4\/3 + 2*b**3\/3 + b**2. Solve t(n) = 0 for n.\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + p. Let i(x) = -2*x**3 + 2*x**2 - x. Suppose -5*v - 4 = -2*l, -3*v + 6*l - 9*l = 15. Give v*q(g) - 2*i(g).\nAnswer: 4*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 5*a**4\/8 + 19*a**3\/6 - 14*a**2. Differentiate d(r) with respect to r.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3296 + 3325. Sort p, -8, -1\/10 in descending order.\nAnswer: p, -1\/10, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.74, 0.5, -4\/5, -3 in ascending order.\nAnswer: -3, -4\/5, -0.74, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78 + 38. Let n = 41 + s. Let d(f) = -9*f**3 + f**2 - 2*f + 1. Determine d(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -13. Suppose t = -i*k + 20, -4*t = -0*k + 2*k - 26. Solve 2*j - k = 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 3. Suppose -2*q + 2 = 2*k, 30*k = 33*k - 3*q - 9. What is the highest common factor of d and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1890*q**3*z + 4*q**2*z**3 + 101*q*z**3 + 7*q*z**2 + 41*q*z wrt q.\nAnswer: -11340*q*z + 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6*b - 23. Let p(x) = x**3 + 6*x**2 + 4*x + 2. What is the smallest common multiple of p(-5) and c(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1522?\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 15*d - 48. Calculate a(-17).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -3 - 18 - ((7 - -20) + -17)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 38705267?\nAnswer: 38705267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -47141 rounded to the nearest 100?\nAnswer: -47100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**9)\/(z**(-1\/15)\/z)*(z*(z*z*(z*z**(1\/9))\/z)\/z)\/(((z*z**(1\/5)*z)\/z)\/z)*(z**(-2\/9)*(z\/z**0)\/z)\/(z**(-8)\/z**(3\/4)) assuming z is positive.\nAnswer: z**(3871\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/(-13230)*420\/(-126)?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7\/38 - -6\/19. Let y(h) = h**3 - 10*h**2 + h - 4. Let x be y(8). Let m be (3 + x\/40)\/1. Which is the closest to w? (a) m (b) 3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 24. Does 3 divide (-25)\/(-9) + b\/(-54)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vfppppppvdpvyppvv. What is prob of sequence fpv?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 - 30. What is the remainder when 58 is divided by 174\/15 + 2\/b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, s: 3, n: 1, i: 1, f: 5}. What is prob of sequence fi?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -h + 41 - 15, -4*h - 2*r + 62 = 0. What is the remainder when 50 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5403 is divided by 106?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 0, 7\/1415, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4 + 5. Sort 4, p, 5, -3.\nAnswer: -3, p, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -15, -85, -2546 in descending order.\nAnswer: 3, -15, -85, -2546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + 33169\/(-738) + 46?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1114500 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and -119955.\nAnswer: -1439460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u + 0*u - u)*(84 + 90 + 16052) as i*u + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 0.3 (c) 1116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -4*o + 955. Let f = o - 257. Solve -4*u = 5*n + 17, 3*n + 2*u = -2*u - f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-2) - (-10 - -4). Suppose 4*w - s - 101 = 0, w + 43 = c*w + s. Suppose w = 4*d - 0. Calculate the remainder when 11 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.22 - 0.02. What is the biggest value in -0.2, -1\/2, s, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 a when three letters picked without replacement from aakakaakaa?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 - (17 + -74) - -79?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*b - 99. Calculate the highest common factor of 11 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) -94458\/5 (c) -1 (d) -0.1 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2\/2 + 35480*g + 125883040.\nAnswer: 5*(g + 7096)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/7))**(1\/72)*(j**(-2\/5)\/j)\/(j*j**(-2\/7))*(j\/((j\/(j**(-4\/3)*j)*j)\/j))\/((j**1\/j)\/j)*j*j*j*j**7*j*j*(j\/(j**(-1)\/j))\/j*j assuming j is positive.\nAnswer: j**(34177\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l. Let v be u(4). Let j be (-1 + -1)\/(8\/v). Let y = 0.1 + 0.2. Which is the second smallest value? (a) j (b) -3\/7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247 = -47*w + 693. What is the greatest common factor of w and 7060?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 2.4. Let t = -9 - -3. Let j = r + t. Sort j, 2, -0.4.\nAnswer: -0.4, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 m when four letters picked without replacement from {i: 2, m: 4, j: 2, t: 12}?\nAnswer: 132\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5897393l to millilitres.\nAnswer: 589.7393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 3465 = 4009. What is the remainder when 10335 is divided by i?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*d - 960 - 8196 = -9*d for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 3 (c) 10 (d) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 259*a**3 - 15 - 255*a**3 + 59.\nAnswer: 4*a**3 + 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -24. Let d(m) be the third derivative of 11*m**4\/8 + 5*m**3\/3 + 62*m**2. Is d(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50 - -89. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*r**4 - 3*r**4 + 6*r**4 + (3*r + 0*r - 2*r)*(6822*r**2 - 63*r**3 - 6822*r**2).\nAnswer: -52*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*t + 21*t - 33*t = 141 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**3 - 8*s**2 - 17*s + 3. What is the units digit of z(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r - 20. Let d be j(-10). Suppose -q - 4*g + 133 = 0, d = -2*q + q + 4*g + 93. What are the prime factors of q?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 6*v - 8. What is the smallest common multiple of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2877?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2952359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2)\/(((f\/f**(-15)*f)\/f)\/f)*f**12*f**(-1\/13) assuming f is positive.\nAnswer: f**(-66\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.528101 - -0.043121. What is t rounded to 2 decimal places?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1187465 and -4?\nAnswer: 4749860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 298453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 10. Let w = -0.6 + 0.4. Which is the biggest value? (a) i (b) w (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c - 10*c + 4*j = 13, 127 = -5*c + 16*j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(832)*-1*1)**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 3*n**2 - 2*n + 3. Let u be q(-3). Suppose u = -5*c + 99. Calculate the remainder when c is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h + 3. Let b = 51 + -27. Let x be (-2)\/(-6) - b\/(-9). Let s(y) be the second derivative of 7*y**3\/6 + 2*y**2 + y. Calculate x*s(d) - 4*m(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.7 + -1.7. What is the closest to g in 4, -3\/5, -1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 3:16 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 291 + -295. What is the units digit of (2 - (3 - (912 + f)))\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21908 is divided by 152?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 1:00 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31374\/2988)\/((18\/20)\/(-3))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w. Let h(k) be the third derivative of -7*k**5\/6 + 77*k**2. What is h(l(t))?\nAnswer: -280*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 9\/5086?\nAnswer: 9\/5086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -64.97221 times -2\nAnswer: 129.94442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -67\/16*x**4 + 21\/16*x**5 + 0*x**2 - 1\/40*x**6 + 33\/8*x**3 - 23*x + 2. Solve y(f) = 0 for f.\nAnswer: 0, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/7 (b) 4208.46 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1022)\/(-73)*(-1)\/2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2928*m**2 + 593*m - 597. Give i(1).\nAnswer: 2924","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7393213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31244489 is divided by 554?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -29 + -4 + 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksjkjjjkjkyk. What is prob of picking 1 j and 1 s?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -15103.2177 to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.1 - -5.1. What is the biggest value in -3, s, -4, 2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - 29. Let o(c) = c**3 + 3*c**2 - 4*c - 6. Let t be o(-4). What are the prime factors of 9*(p\/t)\/2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12768 and 65856?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -202\/3 (b) 2\/55 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 55450 - 6?\nAnswer: 55441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 4:39 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*s = -22, b + 2*b + 2*s - 71 = 0. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1384807 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + 2*v**2 - 3*v**2)*(2*v**2 - 11 + 11).\nAnswer: -2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3071, 6153, 9237, 12323, 15411, 18501, 21593?\n\"Answer: o**2 + 3079*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 298 + -722. Let a = 2171816.70221 - 2171392.7. Let v = b + a. What is v rounded to 4 decimal places?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2\/11))\/(((q*q**(-14\/9))\/q)\/q))\/(q*q\/(q**14\/q*q)*q*q*q**(2\/51)) assuming q is positive.\nAnswer: q**(22442\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 50 (b) 4\/5 (c) 3 (d) 0 (e) 3\/5 (f) 2\/187 (g) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dqduddddggdddqdd. Give prob of sequence qdud.\nAnswer: 11\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10356 divided by -2\nAnswer: -5178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 9:45 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 + 2*u**3 + u**3)*(-u**2 - 2*u**2 + 2*u**2) - 1 + 1 + 2*u**5 + (3*u**5 + 3*u**5 - u**5)*(3 + 0 - 4).\nAnswer: -4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -83 (b) -25 (c) -2.87 (d) -0.4 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**5\/8 + 7*h**4 - 3765*h**3\/4 - 5823*h**2 - 70551*h\/8 = 0.\nAnswer: -117, -3, 0, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 3*o - 11, -m - 12*o + 6 = -11*o. What is the closest to 13 in m, -1, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 265 = 5*f - 243, 5*x - 22 = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 323633, 323514, 323395?\n\"Answer: -119*n + 323752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 14\/25?\nAnswer: 14\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a milligram in micrograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**5\/4 + 45*p**4\/4 - 69*p**3\/4 - 117*p**2\/4 = 0. Calculate p.\nAnswer: -1, 0, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkjggkkgkkxjkmkmkk. What is prob of sequence gm?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3930 divided by -1310.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 164 and 279504831.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(11\/(-3795))*4\/(-10). Let j = z - -563. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2402877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/21)\/i**(-13))**(2\/13) assuming i is positive.\nAnswer: i**(544\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -1. Let b = d - -4. Suppose 3 = 3*z, 0 = i + 7*z - b*z - 8. Solve 1 - i = n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210491*j + 210491*j + 3*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.6, 0.07, -0.5, -1\/3 in decreasing order.\nAnswer: 2.6, 0.07, -1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1219 - 1219.1. Which is the closest to 0.1? (a) -5 (b) -14 (c) y (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 - 31. Suppose 2*l - z = 3. Let u = l + 12. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -14 - 2. Let v(b) = -b + 4. Let y(x) = 5*x - 3. Let q(n) = -n + 62 - 62. Let m(g) = 3*q(g) + y(g). Calculate k*m(i) - 3*v(i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (-48)\/((-32)\/4). Solve -7*f - t*f = 39 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 2 = 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1719*q**3 - 2*q**2 - 4*q + 4. Give g(1).\nAnswer: 1717","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 308262681408152 - 308262833859718.999859. Let n = -152451443 - c. Let s = n + -124. What is s rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 587 is divided by 234?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 11. Suppose 5*p - 21 = -u, -3*p - 12 = -7*p + 4*u. Sort 1, d, p.\nAnswer: d, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 878889.\nAnswer: 3, 11, 26633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*-2*(-5646)\/(-59283).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 915264 a multiple of 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - n**2 - 5*n - 4. Suppose 4*w + w + 26 = -2*l, -4*w = -l. Let j be 15\/2*l\/(-12). Let i(u) = -u**3 + u**2 + 4*u + 3. Determine j*i(a) + 4*x(a).\nAnswer: -a**3 + a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 10*r + 75. Calculate s(-3).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*k - 256 = -293*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmzzcd. Give prob of sequence zd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1205 + 142?\nAnswer: -1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14153 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 12*f**2 + 9*f - 16. Let g be i(-11). Suppose -g = -4*n + 14. Solve -n*x = 7 + 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -747934, -1495848, -2243742, -2991616, -3739470, -4487304, -5235118?\nAnswer: -5982912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 931, 78, -9.\nAnswer: -9, 78, 931","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2373436298 rounded to the nearest one million?\nAnswer: -2373000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = h + 3*h. Find the common denominator of (2\/(-16))\/(h\/(-944)) and 24\/36*414\/88.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*w**2 - 7*w**2 + 7*w**2)*(-48*w**3 - 2 - 55*w**3 - 86*w**3).\nAnswer: 3780*w**5 + 40*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 414063 to the power of 1\/2, to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhhjhjhjjhjjhh. What is prob of picking 2 j?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/10 and -1\/202678.\nAnswer: 1013390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - -29) + (-7 - (2 - 6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 45. Let z = -336 - -337.037. Let s = -0.037 + z. Is t smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (1 - 0) + -2 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1673.5 to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x. Suppose 0 = -d - 5, -4*h - h + 3*d = 15. Let n(i) = -i**2 - 4*i + 1. Calculate h*j(k) - n(k).\nAnswer: k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/7 - (-76)\/(-364). Suppose -5*l + 2*l = 0. Is l less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3446507138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fdccwjoj. What is prob of picking 2 c and 1 d?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -458 + 462. Let l(a) = -a**2 - a + 2. Give l(t).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4eb - 1f?\nAnswer: 4cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/5 - (-2)\/5. Let q = -1 + t. Let h(z) = z - 1. What is the remainder when h(2) is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 9:45 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4923012793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -5741 - 5*u + 11495 - 5744. Suppose -4*z = -2*z + 8. What is the units digit of j(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (525\/63*(-7)\/35)\/(5\/20)\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 + 11627*r + 8718.\nAnswer: (r + 2906)*(4*r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 845986.2ml?\nAnswer: 845.9862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/4))**(-2\/17)\/((o**(-2\/7)*o)\/o)**(-1\/35))**(-15\/2) assuming o is positive.\nAnswer: o**(-531\/3332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 2666991?\nAnswer: 80009730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 173304 and 1689216.\nAnswer: 146961792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4745.728g to milligrams.\nAnswer: 4745728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -4*x + 2*p, 0 = -2*x - 5*p - 5 + 24. What is the remainder when 67 is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -238, -917, -1970, -3343, -4982, -6833, -8842, -10955?\nAnswer: -13118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22.11 - 22. Let z = j - -0.29. Let u = -0.066 - 3.934. What is the closest to 0 in u, z, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 144*a + 153. Let w be r(-1). Solve 0 = -x - l + 8 - w, 5*l = 2*x - 26 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 0*q + 0*q**3 - 6*q**2 + 0 - 1\/24*q**4. Let c(l) = 8*l + 11. Let b(m) = -3*m - 4. Let z(d) = 11*b(d) + 4*c(d). Give s(z(w)).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1930, 1, -4, -12, 0 in descending order.\nAnswer: 1930, 1, 0, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/12*-4)\/(17\/221))\/(12\/(-144))?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -227137, -227135, -227133, -227131?\nAnswer: -227129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 5*k**2 - 5*k - 4. Suppose 5*b - 24 = -f, 5*b - 16 - 14 = 5*f. Let i be 6 - ((2 - 1) + f). Let s be z(i). Let h(c) = 4*c - 2. Calculate h(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - j. Let y = -1583 - -1585. Let c(r) = -2*r**2 - 3*r + 1. Give y*o(q) - c(q).\nAnswer: 4*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12003004 (base 5) in base 10?\nAnswer: 109754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - o + 1. Let b(d) = -3*d**3 + 1. Let s(m) = b(m) - t(m). Suppose -4*l - l = 5. Is s(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*p = t - 2110, 0 = 3*t - p - 3165. Is 4\/(4\/t) - -2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 98082?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 63*o**4\/4 - 3*o**2\/2 + 3*o - 59. What is the second derivative of f(m) wrt m?\nAnswer: 378*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/12 + 251648\/3. Let z = d + -167283. Round z to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*h - 20 = -58, 0 = -3*p - 2*h + 52. Suppose -p = 5*g - 166. Calculate the least common multiple of g and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p + 22*p - p as t + k*p and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 19, 20, 17, 10, -1?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.9 + -5.8. Let x = 1 + -5. Sort h, x, -1\/10.\nAnswer: x, -1\/10, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5800*-0.5\nAnswer: -2900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 28268988 divided by 19469\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7438, 14883, 22328?\n\"Answer: 7445*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2944 = -z - 4*u + u, -20 = -5*u. Let b = -879 + z. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of y**7\/105 - 2*y**3\/3 + 11*y**2. Differentiate c(o) wrt o.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 59, 1601, 5929, 14435, 28511?\n\"Answer: 232*u**3 + u**2 - 85*u - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-13)\/39)\/(1*3\/(-16803)). Suppose 5*i - k = -3*f, 2196 - 324 = 5*i - 2*f. What are the prime factors of i?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + g + 462 + 347 = 0, 0 = 5*i + 3*g - 2006. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j. Suppose -6 = 2*h - 0*h. Let d be u(h). Solve -d*p + 2*p + 16 = 3*i, 3*p = 3*i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -1 - 2) + 10 + -8 + -8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 4003?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -816 and -1.4.\nAnswer: 1142.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/213108 and -23\/99238.\nAnswer: 179223828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/5)\/v)\/v*v)**(-7\/2)\/(v**1)**(-41) assuming v is positive.\nAnswer: v**(431\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2392320 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-9) - 3) + (-16)\/24.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 1 + 7 = 0. Let u be 169\/(-13) + (-2)\/o. Let q(b) = b**2 + 9*b - 10. Let w be q(u). Round w to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -362*o = -354*o + 16. Let l = 2\/1515 + 2972\/43935. What is the closest to 1\/2 in l, o, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 212339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {v: 3, j: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in -3, 0.31, -0.2, -0.5?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**3 + 22*q + 57. Let d be n(-3). Let v = 26 - 17. Calculate the greatest common factor of d and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1150146188 - -1150146184.300000108. Let b = c - -3.7. Round b to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -292*q**3 + 100*q**2?\nAnswer: -1752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 201, 276, 351?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 5*q - 2. Let d be f(-6). Suppose 3*m = d*m + 2, -2*a - m - 18 = 0. Let x = a + 21. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.7 + 33.3. Let j = m + -36.9985. Round j to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -4*p + k, 3*k - 8*k - 9 = -4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**3\/7 - 104*m**2\/7 + 680*m\/7 - 928\/7 = 0.\nAnswer: -58, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-20) - (-9)\/(-6) - (-25)\/5. Let d be ((-2)\/6)\/(2\/(-30)). Solve 0 = 3*w + 3, r*f - w + 1 = d*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -10*u - 5*u**2 + 3*u**2 + u**2 + 12. Let o be a(-11). Solve -g + 1 = -o for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -10, -2, 2, -707, 0.3?\nAnswer: -707","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*a - 3*r + 3, -2*r - 3 = 3*a. Let q(h) = -3*h + 5. Let y(l) = -3*l + 4. Suppose -6 = -16*n + 13*n. Give a*y(t) + n*q(t).\nAnswer: 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-380 + 726 - 48*z - 407)*(-z + 3*z + 0 + 2).\nAnswer: -96*z**2 - 218*z - 122","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2295*p**3 - 14*p**2 + 9. Let t(s) = -1148*s**3 + 8*s**2 - 5. Give 4*b(c) + 7*t(c).\nAnswer: 1144*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -5, -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9190035 to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8*22\/((-1056)\/36)*20.\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -12, 0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q + 4860 = -319*q + 11370 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (0 + -8 - (8 - -2 - (308 + -333)))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 21*j**2 - 17*j - 9. Let n(u) = -16*u - 35*u - 27 - 6*u**3 + 3*u**3 - 62*u**2. Let d(b) = 4*n(b) - 11*s(b). What is the units digit of d(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1073 is divided by 323.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 49.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -699*q**3*y**2 - 5715*q**3 + 23*q*y**2 + 187003*y**2 wrt q?\nAnswer: -4194*q*y**2 - 34290*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20483*63.\nAnswer: 1290429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 916841447?\nAnswer: 19, 191, 13297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d (base 16) in base 9?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 109 - 106. Suppose -13*z + x*z = 1020. Let y = 108 + z. Calculate the remainder when 26 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 576853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3703648 rounded to one dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3286006 - 16980006. What is k rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) -0.3 (b) -1 (c) -3 (d) -3\/2591\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9567\/785 - 2\/157. Let b = o - -13. Sort -1\/4, 0.3, b in decreasing order.\nAnswer: b, 0.3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17051 - 17050.99999994295. Round c to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4786577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + 68\/(-12) - 11\/(-3). Let w(k) be the first derivative of -l - 1\/2*k**2 + 0*k**3 + 0*k - 1\/5*k**5 + 0*k**4. Find the second derivative of w(j) wrt j.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 9*l + 6. Give g(-12).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/80 and 51\/206?\nAnswer: 8240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-91)\/(-24206)*-95)\/(15\/6*1)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((2 + -5*1)*1)\/((-9108)\/(-552)). What is the nearest to 2 in -0.32, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -8, 5.9, -24\/7?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -31*u. Let l(n) = 4*n**2 - 13*n - 5. Let t be l(7). Let d(v) = 2*v**2 - t*v + 100*v. Give d(r(k)).\nAnswer: 1922*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78 * -295557.\nAnswer: 23053446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2411 - 5?\nAnswer: 2402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 1 - b**2 - 7 to z*b**2 + q + j*b and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146157250.\nAnswer: 2, 5, 31, 18859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*z = 15, 2*z = 2*n - 4*n + 12. Calculate the lowest common multiple of 2 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjljlljjjjl. What is prob of sequence jjlj?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hddhgddgddddzddhh. What is prob of picking 3 h?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*k, -16*u + 21*u - 12 = 4*k. Which is smaller: u or 1850?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 1:42 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzzggcggggzzt. What is prob of sequence ctzz?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8489 > 8441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (245\/(-30))\/7*-6. Suppose -a*z + 2*z + 110 = -5*c, 0 = 5*z - c - 102. Suppose -z - 412 = -6*n. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 452821026 to the nearest integer?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -1 + z + z**2 + 35*z**3 + 2 + 13*z**3 - 2. Calculate the remainder when o(1) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**10*f*f)\/((f**(2\/61)*f)\/f)*((f\/f**4)\/f)**(-34) assuming f is positive.\nAnswer: f**(9026\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.97 (b) -2\/31 (c) 3 (d) -3.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = z + x, 3*x - 16 = 73*z - 74*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 140011 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: In base 5, what is -314433 + 2?\nAnswer: -314431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7965, -17808, -27651, -37494?\n\"Answer: -9843*f + 1878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/19? (a) -2 (b) -4\/7 (c) -7.18 (d) 9 (e) -1 (f) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 14. Let q = k - 11.92. Let x = -0.12 - q. Which is the nearest to 1? (a) x (b) -3\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1198, -2379, -3552, -4711, -5850, -6963, -8044?\nAnswer: -9087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from anaaqfdaqddb. Give prob of picking 3 d.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -5. Let g = 2 + k. Is 3 + 10\/g*32 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3120 by 8.\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/49797671 or 0?\nAnswer: 2\/49797671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 9*f + 5. Let h = -12183 - -12189. Determine l(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 975049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*2\/4*-20. Calculate the greatest common divisor of 15 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1431 by -6840.\nAnswer: 159\/760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1428.02574 to the nearest integer.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255*b - 153 = 270*b - 18. Sort 87, 5, b in descending order.\nAnswer: 87, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 - -34.7. What is the nearest to -1\/3 in o, -1\/4, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 4*q - 16, -5*q + 7 + 12 = -4*g. Let d be 2\/q*(-9)\/18. Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*((3 - 3) + 0). Suppose u = -0*t + t. Suppose -4*l - 78 = -2*o, 2*o - 2*l - 81 + 11 = t. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 744 divided by 4\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -316 - -302. Which is smaller: t or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0596 and -2.374?\nAnswer: 0.1414904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -422 (b) -0.3 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15900 = 15901?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 3632*q - 824464.\nAnswer: -4*(q + 454)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 211438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from mrqfama?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9b55d8 (base 14) to base 13.\nAnswer: -112a40c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 1:33 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 13. List the prime factors of 466\/8 + s\/(-16).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1511 - -1370. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -61 - (165 + -86) - 16?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-24))\/((-265)\/212)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.09 bigger than 29911\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -58, -80, -122, -190, -290, -428, -610?\n\"Answer: -y**3 - 4*y**2 - 3*y - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.9 times 25?\nAnswer: -2122.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7*y + y - 9*y. Let n(f) = -f + 2. Let x(j) = 18*j - 28. Let h(k) = -12*n(k) - x(k). Determine -h(q) + 5*w(q).\nAnswer: q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 25 = 4*k + 2*s, -2*k - s + 5 = 0. Differentiate -12 - k*i**4 - 9 + 19 - 5*i**4 wrt i.\nAnswer: -36*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 6*o**2 + 4*o - 5. Let m be y(-5). Suppose -2*c - 10 = -m*c. Let i = 24 + -28. Put c, 3, i in ascending order.\nAnswer: c, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -341.9368 + -0.0632. Let m = d + 369.5. Round m to the nearest integer.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17014986?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 128 divided by -4\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 31*g - 201. Determine d(17).\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -3, -0.75, 0.9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*o + 70272*o**3 + 5465*o**3 - 13*o - 20*o.\nAnswer: 75737*o**3 - 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 44*y**2 - 60*y + 7. Determine l(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21536 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, v: 4}. What is prob of picking 2 v?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316*i - 315*i - 5*w = -3, -9*w + 9 = -3*i. Let y = 5 + -2. Put y, 1, i, 2 in decreasing order.\nAnswer: y, 2, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -23b6 + -8?\nAnswer: -23c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 5 (c) -2.8 (d) -2 (e) 59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 4) to base 9\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, s: 1, z: 2, b: 3, q: 1}. What is prob of picking 1 q, 1 z, and 1 w?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 3 - (1 - 1). Suppose -32 = -a - 4*x, -3*x + 109 = 3*a + 2*a. Solve -3*m - 4 = 3*d - m, -2*d + 3*m - a = j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 9 + 5 = 0. Let o(a) = -a**2 - 6*a + 5. Let p(t) = 5*t - 4. Let y(u) = q*o(u) - 5*p(u). Find the second derivative of y(b) wrt b.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61362 divided by -18.\nAnswer: -3409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120, -934, -3142, -7440, -14524, -25090, -39834, -59452?\nAnswer: -84640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(65)*-1 + sqrt(65)))\/(sqrt(20)\/sqrt(4)*-1) + (sqrt(65)\/sqrt(20) - -3*sqrt(1872)))**2 + 3.\nAnswer: 69289\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 39 - 30 - (0 - 1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 7 = 15. Let i = 31 + -35. Suppose -3 = 2*b - 3*l, l + 7 + 0 = -2*b. Sort b, w, i.\nAnswer: i, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 34, 31, 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*i + 13618 - 14218 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40194554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 3. Let z = -4 + 76. Let l = z - 72.4. What is the nearest to r in 2, -1\/7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 3*s - 51 = 0, 20*h - 18*h = -s + 16 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + (-120)\/(-28))\/(45\/(-1260))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0. Let y = -56 - -122. Let b be 19 - 12 - y\/8. What is the nearest to i in b, 1\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 0.04 (c) 3\/55 (d) 0.6 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*q**2 - q**2 - 4*q**2)*(-9*q - 101 + 101) to l*q**2 + t*q + p*q**3 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = x + 2*x + 3*j, 2*x = 4*j - 56. Let a be (-69)\/15 - x\/40. Let k(l) = l**2 + l - 8. What is the lowest common multiple of k(a) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 23*b**7\/42 + b**4\/4 + 47*b**3\/3 - 71*b. What is the second derivative of d(a) wrt a?\nAnswer: 460*a**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92648 divided by 1\nAnswer: -92648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 963 + 0*q**2 - 4*q**2 - 963.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*r - 182 = 0, -2*y = 3*r - 10 - 84. Let t = y - -22. What is the remainder when t is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 236496.3nm to meters.\nAnswer: 0.0002364963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*n**4 + 623*n**3 + 33*n + 10670280?\nAnswer: -44*n**3 + 1869*n**2 + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (89 + -90 - (-1 + 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.7 times 0.21083803\nAnswer: -0.358424651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/4 + -2)*-6. Let w be 192\/18 + 1\/3. Suppose o - m - w = -3*m, 8 = o + m. Sort o, 1, d in ascending order.\nAnswer: 1, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 714 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 6 + -4 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.4, 36, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/7 (b) 3\/4 (c) 0.3 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2\/19 (b) -1 (c) -6926\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24255679513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + -1*1 + -12 + 12. Calculate the highest common divisor of 1 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (85 - 22 + 6)*(-4*g + 2*g - 6*g) + (-5*g + 5*g + g)*(0 - 3 + 5) as o + r*g and give r.\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -2. Let a = -148 - -85. Let y = -312\/5 - a. What is the closest to v in -4, 1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 12390250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 32*l**3 - 8. Let h(m) = m**3 + 1. Determine -6*h(j) - x(j).\nAnswer: -38*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bk when two letters picked without replacement from ikbkiiikiiiik.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5874 - 5853. What is the smallest common multiple of p and 420?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 2*h**2 + 2*h - 31. Suppose -58*g = 22*g + 4*g - 2*g. Calculate k(g).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37193352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8.484 or 1908.5?\nAnswer: 8.484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/50)\/(6\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -200?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 5*u = 0. Suppose -2*i = -5*j + 11, -2*j + u*j + 4*i = -14. Solve -j - 4 = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 75\/40 - 2\/(-16). Let f be 6 + 3 + -2 + -2. Suppose -4*a = 2*m + 4 - 12, o*m = f*a - 1. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**3\/3 + 4*p**2 + 2*p + 5. Let v be g(-8). Suppose -t = 0, -2*d - 2*t = v*t - 44. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 9 - 7*d**2 + 7*d + d**2 + d**2 + 0*d. Let z(l) = l**3 + 7*l**2 + 4*l + 2. Let p be z(-6). Let u(j) = -2*j**2 + 3*j + 4. What is p*u(s) - 6*y(s)?\nAnswer: 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 37*z - 63 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.046386 - -35.\nAnswer: 35.046386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -14*f**2 + 32*f + 6. What is y(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-27 - -25)*274\/192 and -65\/22.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*p**2 - 7*p**2 - 18*p**3 + 12*p**2 wrt p?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/21 + (-2458)\/(-6). Let z = p - 722. Let k = 228 - z. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 62*f**2 - 236*f + 116. Give u(58).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 16792136.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31541496?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4)*(-16)\/3)\/((-3)\/27)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4140 and 13110.\nAnswer: 78660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 0*d - 4, -1080*l + 1078*l = 3*d - 23 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61022405*g**3 + 19287160*g wrt g.\nAnswer: 366134430*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -247329, -1978666, -6677993, -15829302, -30916585?\nAnswer: -53423834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7495581 by 6.\nAnswer: 2498527\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4262571 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t + 131*t - 6795 + 6798 to the form b + s*t and give s.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1489600 rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q**2 - 8*q**2 + 66*q - 16*q - 5*q**2 - 55*q. Let b(t) = 9*t**2 + 2*t. Give 10*b(i) + 4*o(i).\nAnswer: 22*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2 + (sqrt(162) - (sqrt(162) + 0 + 0)))**2 - 1*(sqrt(6)\/sqrt(3) + -4 + (sqrt(36)\/sqrt(6))\/sqrt(3)).\nAnswer: -2*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.6 - 6.5. Suppose v = -v + 4. What is the nearest to s in 0, -0.3, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/x**13)\/x)*x*x**(-15\/2))\/(x**16*(x*x**(-15))\/x*x) assuming x is positive.\nAnswer: x**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -7*p + 12*p. List the prime factors of (-1 - 44\/12)*p.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(425) + sqrt(425) + -1 + (sqrt(425) - ((sqrt(425) + sqrt(425)*-1 - sqrt(425)) + 1)))*-6)**2.\nAnswer: -7200*sqrt(17) + 245700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 2, -10823.\nAnswer: -10823, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 39757037 to the power of 1\/2, to the nearest integer?\nAnswer: 6305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 9*i + 25 - 5. Solve i*p = -0*r - 2*r - 24, 5*r + 30 = -5*p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -362*i - 342. Let x be w(-10). Suppose -x = -24*g + 3970. Calculate the remainder when g is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/179 (b) 5 (c) 0.0709\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 10*y - 7. Give h(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 28*o**2 + 2*o - 61. Let m be b(28). Let v be (-2133)\/3105 - 3\/m. Let d = 0.03 - 0.03. Sort d, -1, v in decreasing order.\nAnswer: d, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-1)\/(-4)*-20. What are the prime factors of r\/9*(-198)\/(-6)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-26)\/(-6) + 2\/(-6). Suppose f + k = 20. Let w = -7 + 12. Solve d - w*d - f = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1645 and 9303?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*n - 17. Let w = -6 - -11. Suppose -w*j - n = -131. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (428298\/684)\/221 + 1*-2 - 383\/474?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-27 - -49)) + -14 + (-13 - 0).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -641*t = -569*t + 936 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 5*u - 8. Let s be j(6). Let z = s + -2. Let i = 4 + z. Solve 0 = d, -c + 5*d = -i + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16850837\/88 + 1523795\/8. Let y = z + 1014. Find the common denominator of -32\/9 and y.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -1322?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 135462 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -683 + 5667 = 623*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 11 - 5*h**2 - 16 + 7*h + 4*h**2. Let k be f(6). Let v be -4*(0 - (-1)\/(-2)). Is v less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7687560 divided by 40.\nAnswer: 192189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventy-one fifths of a millimeter?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3140 and 157628?\nAnswer: 788140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/((-147)\/(-14)))\/(-1 - 2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4142.\nAnswer: 2, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19040 - -19103. Let s be (-2 - -2) + 74\/(-2). Let g = s + z. What is the highest common divisor of g and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.0353755 meters?\nAnswer: 0.0000353755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 181*a + 5. Let t(x) = 135*x + 5. Determine -6*j(r) + 7*t(r).\nAnswer: -141*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1091 * 5.8\nAnswer: -6327.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 2*j + 17, 4*j + 13 = 4*s - 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41587 = -10*p - 2067. Let n = p + -1463. Suppose n = 5*t - 3*a, -t - 2*a - 495 = -2*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22657524937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*l + q - 1044, 0 = -3*l + q + 1577. Let a = 142 + l. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57041?\nAnswer: 57041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**3 + 3*n**3 - n**3 + (-2*n - n + 5*n)*(-3*n**2 + 0 + 0) to x + b*n**2 + m*n + a*n**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 3.8?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (46 - (-6840)\/(-150)) + (0 - 7\/180). Is r > -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 21 + 104. What is the remainder when k is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b**2 - 3*b - 2. Calculate w(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -4)*6*(-60)\/(-144). Suppose -n*v = -47*v + 29711. Is v a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/1*(-6 + 7). Suppose -j + k*r = 7, -2*r = j + j - 10. Let t = 0 + j. Solve t*y - 1 = 2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + j)*(-71 + 90 + 57)*(-5*j + 0*j + 3*j).\nAnswer: -152*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8706*-876.3.\nAnswer: 7629067.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -199.1 - -199. Which is smaller: y or 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 10590.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -330.355 - -331. Let o = p - 0.845. Is 7 less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*p**3 + 27*p**3 - 97*p**3 - 92 + 31*p**3 + 576 to the form s + c*p**3 + v*p**2 + y*p and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 f when three letters picked without replacement from qfpqpfoippqp?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/((k*k\/(k*k**(-6\/5)))\/k)*k**0*(k*k\/k**(-1)*k*k)\/k**(-6) assuming k is positive.\nAnswer: k**(54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (34 - 17) + -12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 8, o: 3, g: 3, r: 3}. What is prob of sequence ggo?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23802*t**5 + 951*t + 2.\nAnswer: -476040*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 7. Let c be 10*1\/(10\/4). Suppose -c*d = -8*d + 84. Suppose 0 = -5*x - 4*r - 42, 10*r = -x + 5*r - d. What is n(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 37*j**2 + 73*j - 106. Let g be x(35). Let h be -4*g*(-11)\/(-374). Factor -4\/17 + 10\/17*r**3 - h*r**4 - 18\/17*r**2 + 14\/17*r.\nAnswer: -2*(r - 2)*(r - 1)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 3. Let c(w) = -4*w - 10. Let y(p) = 7*a(p) + 2*c(p). Let k = 21 - 23. Let r be y(k). What is the second smallest value in -3, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18994 + 18983.17. Sort i, -3, -2\/5, 1\/3.\nAnswer: i, -3, -2\/5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - (-55 - -61)) + -71.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34166887 a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 558763866, 558763860, 558763844, 558763812, 558763758, 558763676, 558763560, 558763404?\nAnswer: 558763202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*g - 7*g - 74. Suppose -m + g = 4. Calculate the greatest common factor of m and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11191045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - ((-2 - -1) + (-27 - -16 - -13))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 11:17 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -5021922 less than or equal to -5021917?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 34*u + 64. Let t be m(32). Suppose t = -7*s + 3 + 4. Solve 5*i + s = 16 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 3*q - 3*q + (-2*q - 3 + 3)*(4 + 2 - 4) - 2*q + 4 - 4)*(-5 + 0 - 6).\nAnswer: 88*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3075 and 451?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 109953958 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*2*(sqrt(13)*2)**2.\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*b - 37 = 0, -b + 40 = 5*w - 5*b. Suppose w*v + v = 485. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -6, -1 in increasing order.\nAnswer: -9, -6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n - 1 + n - 5. Let f be s(-9). Factor -7*o - 12*o**f - 9*o**2 - 2 - 13*o**2 - 5*o.\nAnswer: -2*(o + 1)*(2*o + 1)*(3*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*a = -27*a + 49*a + 90 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8362323.8466159 take away -0.5?\nAnswer: 8362324.3466159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(1\/(-4)*3). Let x = -511.1 + 511. Sort 0.4, t, x.\nAnswer: x, 0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7647120 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express l + 2*l**4 - l - 2*l - 7 + 0*l**4 + 4*l**2 in the form t*l**3 + r*l**4 + x + m*l**2 + h*l and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-126896)\/(-55) + 12\/(-10).\nAnswer: 2, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 108.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2343 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79 + -74. Suppose q*a - 175 = -5*v, 4*a = 5*v + 3*a - 199. What are the prime factors of ((-13)\/v)\/(-1*(-2)\/(-426))?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000140377 rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*z + 305 = 4*u, -4*z + 392 = -2*u. Suppose 2*q + q = z. What is the highest common factor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 4:56 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 1:22 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*o + 2*s = -19, -3*o + 5*s = 46. Let z = o - -24. Let j(c) = -11*c + 224. Let a be j(20). Solve 5*y = 25, z*y - 2*y = a*g + 25 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 9*g = 2*c + 12, -c - 5*g + 24 = 0. Suppose 0 = 2*r - 5*x - 87, r - c*x - 45 = -0*r. What are the prime factors of r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*f**3 + 0*f**3 + 79*f**3 + (8*f - 6*f - 6*f)*(14 - f**2 - 14) + 0*f**3 + 5*f**3 - 4*f**3 in the form l*f + q*f**2 + v*f**3 + t and give v.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 533647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 - -38 - -46 - -30?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**5\/6 + t**4\/3 - 4*t**3\/3 - 8*t**2\/3 + 8*t\/3 + 16\/3 = 0 for t.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 9 + -14 + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(133) - sqrt(133)*1)*5)\/(sqrt(7) - 2*sqrt(448)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -x + 10, -x - 10 = -2*r - r. Suppose 5*f + j - 44 = 0, 8 = 5*f - 2*j - 24. What is the remainder when (1 + f\/(-12))*21 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 0.23.\nAnswer: 0.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -8. Suppose x + 3 = l*o - 3, 3*x = -5*o - 7. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -4 + 3)*3 + 4 + 5.\nAnswer: 6 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18317812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -99.52 - -102.52. Which is the closest to 0.1? (a) f (b) 3\/5 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 - -44. Suppose 4*h + 0*h - 4 = 2*s, 0 = -h - 2*s + 1. Suppose k*m + h = 9. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(1\/11)*m))\/(m**2*m)*(m\/((m**1\/m*m*m)\/m))\/(m\/(m**(1\/7)\/m*m*m*m)) assuming m is positive.\nAnswer: m**(-150\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 306 - 306.00163. What is l rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -4*r - 18, r - 3*r - s = 10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 8:47 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 66. What is the remainder when 235 is divided by g(7)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {e: 1, m: 12, o: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -89637000 rounded to the nearest 1000000?\nAnswer: -90000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 184673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65972630?\nAnswer: 2, 5, 6597263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -16. What is the lowest common multiple of (-1 + -2)*(-10640)\/1995 and 66\/4*u\/6?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.5 + -28.5. Let s = 107 - g. Sort 0, -4, s in decreasing order.\nAnswer: s, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventeen halves of a micrometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 162.106 and -1171.6039.\nAnswer: -1009.4979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 374211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-12 + -14 - 11) + 17\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48307027\/192444 + -4161\/2291. Let v = 985\/4 - k. What is the common denominator of (-176)\/((-64)\/(-8))*(-2)\/(-24) and v?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 + 26 = -28307*c + 28316*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 5. Let b be x(-8). Let n = -2 + b. Let z = n + 0. What is the nearest to 0.2 in z, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -6, 0.26, -0.5, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 268397 by 29.\nAnswer: 268397\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016906 rounded to three decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1104753 >= -1104732?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o. Let i(c) = -c - 5 + 5 - 7*c. Let a(q) = -4*h(q) - i(q). Let n(v) = 5*v**2. What is n(a(p))?\nAnswer: 80*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = o - 22, -k + 6 = 3*o + 2*k. Let q = -2 + o. Suppose 3*r = -2*g + 19, 4*r - 5 - 18 = -q*g. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58849 + 12331 - 2*u**2 + 27255 + 55799.\nAnswer: -2*u**2 + 154234","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1847020 by -131930.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9477463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -69*i + 3*i**3 - 25 + 19*i + 23*i + 25*i + 3*i**2 as c*i + f*i**2 + k + p*i**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 34*p - 35*p - 33, -q + 1 = -3*p for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p. Let l = -11 + 94. Suppose 0*x + 108 = 5*i + 2*x, 5*x - l = -4*i. Let t = 17 - i. Let m(b) = -3*b + 1. Determine t*d(k) - m(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002178309125 rounded to 7 decimal places?\nAnswer: -0.0000218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 9*a**3 + 3*a**2 + a - 3. Let v be l(4). Suppose -4*m = m - v. Let z = 249 - m. What are the prime factors of z?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*j - 19*j = -105 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 17*t**2 - 63*t - 12. Give a(20).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3203.22*3.5\nAnswer: 11211.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 4:28 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -663 + 1?\nAnswer: -662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or 1471\/46?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -268505318.4200834 take away 2?\nAnswer: -268505320.4200834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**6\/30 + j**5\/15 - j**4\/6 - 2*j**3\/3 + 50*j**2. Factor r(x).\nAnswer: 4*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -172921, -172901, -172881, -172861, -172841, -172821?\n\"Answer: 20*f - 172941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56156 + 56152. Let r = -1 - 0. Let q = 2.99 + -3. What is the second biggest value in 0, p, r, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -62*y - 87. Give n(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 541.373 + -8345.3.\nAnswer: -7803.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282105 >= 1282104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 11 + -2 - (20 + -7 + -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20198*-0.06.\nAnswer: -1211.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -3, -2\/7, -1017?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -615*p**3 - 555*p**3 + 1165*p**3.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 + (-4 - 0))\/(-1 - -3). Let g(h) = 3*h. Let p be g(2). Suppose -i*d - 8 = -p*d. Let l(j) = 2*j - 3. Calculate l(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*p + 4. Let b(n) = -5*n**3 - 2*n**2 + 1. Let j(l) = 4*l**3 + 2*l**2 - 1. Calculate p*b(k) - 4*j(k).\nAnswer: -k**3 - 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*p = 157*p + 200 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 4 + 1 + -3 - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -3\/4 (c) 5.36 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/102 and 53\/150382?\nAnswer: 451146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169942226.\nAnswer: 2, 84971113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + ((-28)\/140 - ((-62)\/10 - 0)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 - 4*u**2 + 3*u + 1. What is the remainder when z(3) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87.792 - 102.63. Let g = 0.062 - h. Which is the third biggest value? (a) -5 (b) g (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-18)*-8*3*1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, l: 2, a: 1, n: 1, h: 2}. What is prob of sequence mhan?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -5, 1, -2\/5, -2.5 in descending order.\nAnswer: 1, 0.1, -2\/5, -2.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4 - 104584*y**3 + 1822724748*y**2 - 10583344044936*y - 74172757704318.\nAnswer: 2*(y - 17433)**3*(y + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 78035 - 34898. What are the prime factors of v?\nAnswer: 3, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.03 (b) 2 (c) 1\/3 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**3 - 4*x**2 + 4*x - 4. Let w = 97 + -102. Let j(l) = -3*l**3 - 5*l**2 + 5*l - 5. Give w*g(q) + 4*j(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 + 10. Suppose m = u - 150. Let d = -78 - m. Is 2 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 c when two letters picked without replacement from {c: 9, k: 11}.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 83, 131, 211, 341, 539, 823, 1211?\nAnswer: 1721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7244506?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 67637 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: b\"What is the qth term of 280389, 560795, 841201, 1121607, 1402013, 1682419?\n\"Answer: 280406*q - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 5, -0.3, 103, 1 in decreasing order.\nAnswer: 103, 5, 1, 2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(133) - sqrt(133))\/(4*-1*sqrt(7))*6 + -1.\nAnswer: -27*sqrt(19)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73 + -27. Calculate the common denominator of -1*(-500)\/(-64) - -5 and d\/(-40) + -3 + 1.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-5))\/(556\/185 + -3). Let r = h - -545. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 921986 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.30196 + -0.30160306. What is g rounded to 5 decimal places?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74512 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1759 is divided by 250.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 9*n**2 - 6*n + 42. Let y be z(-10). Find the second derivative of -102*q**y - 3133*q + 3278*q - 4*q**2 wrt q.\nAnswer: -212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 173 + -172.996385. Round f to 4 dps.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -149, -154, -163, -176, -193, -214?\n\"Answer: -2*h**2 + h - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 4*n + 5*r - 1, -2*n - 3*r = -7. Solve -3*m = n*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*y - 0*x + 2*x, 2*y - 3*x = 17. Suppose -19 = -9*t - y. Solve -3*i = -5*h + 29, -5*i - t*h - 13 = -6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -697.7847 - -697.2. What is h rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-15 - -8 - (-3 + -1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q + q**3 + 0*q - 25 - 24121*q**2 + 24121*q**2 - q**4 to the form i*q**2 + d + z*q**4 + p*q + y*q**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 10:39 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*r**3 + 0*r + 75*r**3 + 0*r.\nAnswer: 242*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*a + 56*a - 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -0.5 (c) 1\/5 (d) -1\/5 (e) -1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -490221, -980398, -1470535, -1960626, -2450665, -2940646, -3430563?\nAnswer: -3920410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000321 to 7 decimal places.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -w + 7, 11*w + 3 = 10*w + b for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 182595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12882 = -2082*z + 1404*z for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19378 is divided by 4829.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-28)\/(-6))\/((-20)\/3 - -6). What is the units digit of -1*2*-16*(i - -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 4 - 4)*(0 + 0 + q) - 5 + 3 - 4 + 2*q**2 - 3*q.\nAnswer: q**2 - 3*q - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -41*m**4 - 19*m + 9143 wrt m.\nAnswer: -164*m**3 - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 5) to base 10.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 1. Suppose -d + 2 = -p. Solve 2*o + 2*c = 3*c + d, 2*o - 2 = 3*c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 280 - 294 - (3 - 2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 13, 3, -1, 1\/24?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*i**4 - 421*i**3 + 3038643*i wrt i?\nAnswer: 264*i**2 - 2526*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 1) + (-1 - -5). Suppose -4*u - 4*k = 64, 3*u - 2*u + 4*k + v = 0. Let j = -11 - u. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 1\/15 (b) 1 (c) -0.18 (d) -185 (e) -2 (f) 10\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 50 - 50 + (-2 - j + 2)*(1 - 2 + 3))*(5 - 25 - 3).\nAnswer: 23*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -190\/3793 + 285540\/9486293. Calculate the common denominator of j and -87\/2.\nAnswer: 5002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 992 is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 a factor of 1560146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -7. Let u = -15 + 12. Let j = c - u. Is j equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5888, 18118, 38502, 67040, 103732?\nAnswer: 148578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eesssssssse. What is prob of picking 4 s?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 + 3*g**2 - 30*g + 134. What is the units digit of y(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79\/70 - -17\/10. Let j = -0.1 + 0.2. What is the second smallest value in -3, t, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*l**3*t**2 + 1992*l**3*t + 3*l**3 - 606*l**2 + 4*l + 60*t**2 wrt t?\nAnswer: -10*l**3*t + 1992*l**3 + 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 4:16 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 150144 and 300288.\nAnswer: 300288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1548 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/54*-7*(-1746)\/6111?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 264 = p. Let x = -62 + p. Solve -x*i - 7 = -11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16353 and 1656.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -20*b - 75. What is the smallest common multiple of c(-6) and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -11. Let o = x + 7. Let s(f) = f**3 - 4*f**2 + 2*f - 1. Let u be s(3). What is the closest to 0.1 in u, o, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30704348?\nAnswer: 2, 47, 163321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 845199384?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30916256*r**2 - 11*r - 110630 wrt r.\nAnswer: 61832512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21479, 86033, 193647, 344321, 538055, 774849, 1054703?\nAnswer: 1377617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -1 - (-3 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 0. Let t = 4 + 1. Let y(b) = -4*b + 17. Let c be y(t). What is the smallest value in j, c, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 104047*x. Let p(b) = 170*b**2. Calculate z(p(m)).\nAnswer: 17687990*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.38 + 0.08. Which is the biggest value? (a) 0.5 (b) -2\/3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 d when three letters picked without replacement from {d: 9, x: 10}?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1162, 85, 1332?\nAnswer: 2579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-424*u**3 - 252*u**3 + 66*u**3)*(2*u - 5*u + 5*u)*(-2 - 3 + 4)*(0 - 1 + 2).\nAnswer: 1220*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.6249 to one decimal place.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 148*q - 160*q + 12972. Suppose -25*r + 15469 = -q. List the prime factors of r.\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*q**3 + 38*q**3 - 12*q**3 - 14*q**3.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + u - 3*u + 146 = 0, -4*u - 572 = -4*c. Is 16 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011101110 (base 2) to base 12\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -1202*j**2 + 5445*j - 11. Let o(y) = -240*y**2 + 1088*y - 2. Let t(h) = -11*o(h) + 2*q(h). Find the second derivative of t(l) wrt l.\nAnswer: 472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132 and 134629?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2\/2 - 5031*t - 369556 = 0.\nAnswer: -9988, -74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 654*m = -657*m - 146, 116 = 4*a + 2*m. Solve -a*c + 102 = 2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 15) in base 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14815, -29612, -44409, -59206, -74003, -88800?\nAnswer: -103597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5 + 6*f**4 - 4*f**3 - 6*f**2 + 5*f.\nAnswer: -f*(f - 5)*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 33\/77 + (-108)\/203. Are l and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 7 = 5*q, -2*q = 3*h + q - 3. Let s be h - ((-28)\/11)\/1. Let x = -0.47 - 0.03. What is the smallest value in s, -4\/9, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 130 - 127. Solve -y*j - 5*s = 12 + 13, 2*j + 3*s = -15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 - (-2 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1455 + -1452. Let k(r) = -2*r**3 + 3*r**2 + 11. Let y(w) = 6*w**3 - 10*w**2 - 34. Determine b*y(t) + 10*k(t).\nAnswer: -2*t**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 518948*j - 539876*j + 2 as q + u*j and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.69 + 3.39. Let v be (22\/(-10))\/((-858)\/(-65) - 13). Which is the closest to v? (a) t (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109171 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -70591080 and -1?\nAnswer: 70591080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 1:29 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*s = -35, -2*s - 3*s = -f - 20. What is the smallest common multiple of f and 1\/((-1)\/(-7) - 0)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -127 - 25*x + 30 + 29 + 25 + 30 to the form h*x + t and give h.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 2:34 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -243234?\nAnswer: 243232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -84*h**2 - 11*h - 36. Let g be y(13). Let d be (-156)\/27 - -6 - g\/(-9). Let s = -896 - d. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20645*l = 20185*l - 1840 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tbbbbbbbbbbt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -3*b - 1, -3*a - 13 + 12 = -2*b for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 3*q**5 - 33*q**4 + 129*q**3 - 207*q**2 + 108*q = 0.\nAnswer: 0, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360 = -952*u + 967*u. Suppose 0 - u*z**2 - 15\/2*z**3 + 21\/2*z**4 - 6*z = 0. Calculate z.\nAnswer: -1, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 709445940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 145.5 + -145.6. Let p(o) = -o**3 + 6*o**2 - 5*o + 3. Let d be p(5). Which is the closest to d? (a) -2\/5 (b) z (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -126\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 3, 1\/12, -3, -10\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 8) to base 2\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of j**2\/2 + 2*j - 22. Let p = -4 - -2. Let u(v) = -v - 2. Determine p*x(y) - 3*u(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2050585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -62.6709 to zero decimal places.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1404 and 120?\nAnswer: 14040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010297 to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 7*w + 6. Let i be v(-8). Let u = 568\/5 + i. Let l = 1367\/15985 - -1\/695. Which is the smallest value? (a) l (b) u (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135137083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 8:50 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 40a42 + b?\nAnswer: 40a4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 611*w = 1919*w + 728*w - 116624 - 46256 for w.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 812814 to the power of 1\/2, to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -1\/6*t**4 + 0 + 0*t**3 + 0*t + 3*t**2. Let c(m) = -m - 5. Let g(n) = -n - 6. Let i(y) = -6*c(y) + 5*g(y). What is o(i(v))?\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o + 5374 = 5293 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*6*(sqrt(136)\/(-2*sqrt(8)*-3)*-6 - ((sqrt(153) + 3 - (-2*sqrt(204) + sqrt(204))\/sqrt(12))*1)**2).\nAnswer: 900*sqrt(17) + 10116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2 + b - 3. Let k(c) = c**2 + c - 1. Let l(h) = 5*k(h) - r(h). Calculate the remainder when l(-4) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is be + 1eb248?\nAnswer: 1eb306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4 + 18\/20. Suppose i + 7 = 11. Let x = -97 - -677\/7. Which is the third biggest value? (a) x (b) i (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107080 is divided by 595.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*m**4 - 331140*m**3 + 3049465188*m**2 - 64904639232*m.\nAnswer: 3*m*(m - 18386)**2*(3*m - 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00283825849 to four decimal places.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 5*v + 15, 60*r = 63*r - v - 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133 divided by -7.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533489.\nAnswer: 11, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6672 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - ((-3 - 2) + -22). Solve 5*d + z = 5*b, 13 = -5*d - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94188926.\nAnswer: 2, 13, 29, 124919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264868543.\nAnswer: 9871, 26833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 191359\/3657 - -8\/1219. Let o = 416\/9 - n. Calculate the common denominator of (8\/7)\/(-2 - 0) and o.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485 is divided by 124?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24990)\/420*12*(-6)\/306?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 - 42.1. Which is the closest to -1? (a) 4 (b) -4\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 5*f**2 - 2*f + 2. Let c(q) = 27*q + 4. Let a be c(2). Suppose 0 = -3*z - 10 + a. Calculate the remainder when z is divided by d(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - (23 + (43 - 17)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -1)\/(164\/82).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*g - 10. Let v = g + -15. Solve v = -5*m + 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-231)\/(-14)*(-20960)\/24. What is n rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p - 3. Let g(f) be the second derivative of f**3\/3 - 4*f**2 - 7*f. Calculate -5*g(l) + 14*k(l).\nAnswer: 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 6) in base 2?\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**3 - h**2 + h. Let f(v) = -385*v**4 + 42*v**3 + 70*v**2 - 14*v. Let k(z) = -f(z) - 14*s(z). Find the third derivative of k(g) wrt g.\nAnswer: 9240*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11749.93176 - 0.33176. What is b rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238585380*u + 238585600*u + 3 - 3.\nAnswer: 220*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*(77\/(-14))\/11.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 128523139603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -66 divided by -22\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448 is divided by 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/3)*i)**25*((i*i**(1\/2)*i)\/i)**(27\/2) assuming i is positive.\nAnswer: i**(743\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, z: 2}. Give prob of picking 2 w and 2 z.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 12:26 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 7\/9 (b) 0.0465 (c) -2\/7 (d) 1 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -4*i**2 + 9*i - 152. Calculate a(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**16)\/h**0*(h*h**0)**(1\/29) assuming h is positive.\nAnswer: h**(494\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*z + 34 = 0, -24 = -r + 4*r + 3*z. Let u be (2 + 3)*r\/(-5). Let o be 4 + 310\/12 - (-1)\/u. Calculate the highest common divisor of o and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -229\/120120 and 89\/1188.\nAnswer: 1081080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1574 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 52872 + -6214?\nAnswer: 46658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2\/21 - 9404*q\/7 + 4478582\/21 = 0. Calculate q.\nAnswer: -14263, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**4 + 3 - 13*n**3 + 34*n**2 + 13*n**3 - 7 + 6 to the form q*n + a + v*n**4 + o*n**2 + c*n**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4328\/322 + ((-2869)\/133 - -21). Which is smaller: w or 13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -415995, -831855, -1247715, -1663575?\n\"Answer: -415860*o - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**7\/84 - r**6\/2 + 27*r**5\/4 - 3645*r**3\/4 + 19683*r**2\/2 - 39*r + 3. Factor z(s).\nAnswer: (s - 9)**4*(s + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000504550523 rounded to 7 dps?\nAnswer: -0.0000505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 4*x - 0*x - 35 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 0.3, 2\/3, -0.31?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6499.\nAnswer: 67, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 12*i - 6. Let m be (14\/(-3))\/((-2)\/3). Let k(d) = 55*d - 18*d - 15*d - m - 9*d. What is -7*a(f) + 6*k(f)?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7599, -7555, -7503, -7437, -7351, -7239, -7095, -6913?\nAnswer: -6687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + v - 2 + 0)*(20*v**2 + 30*v**2 - 88*v**2).\nAnswer: -76*v**3 + 76*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + 0. Suppose o = h + 2. Suppose -5*l + 21 = -h*z - 34, 3*l - 5*z = 31. What is the highest common divisor of l and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5538716 to the power of 1\/2, to the nearest integer?\nAnswer: 2353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**3\/7 + 13*i**2\/7 - 11*i\/7 + 2\/7 = 0. Calculate i.\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13c (base 16) to base 5.\nAnswer: -2231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + 9. Suppose j + 26 = -4*s, -2*j - j + 6 = 0. Is g(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**2. Let z(j) = -j**2 + 5*j - 5. Let y(t) = 4*t - 4. Let w(m) = -5*y(m) + 4*z(m). Calculate w(l(b)).\nAnswer: -64*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = x + 10, 2*x + 2*x = -4*k + 8. Let j(d) = d**2 + 8. Let s be j(0). Let r = s + -6. Put k, r, -4 in descending order.\nAnswer: k, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 3*q = 3*y - 21, -2*q - 6 = -3*y. Suppose 2*w = 5*s + 26, -2*w - 3*s + y*s + 18 = 0. Sort 3, w, 2 in descending order.\nAnswer: w, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6581312 and 18098608?\nAnswer: 72394432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express ((64 - 64 - 19*o**2)*(-58*o**2 - 59*o**2 + 120*o**2) + 3*o**4 - o**4 + 0*o**4)*(-2 - 2 + 8) in the form n*o**3 + j*o**2 + x*o + u*o**4 + a and give u.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 + 6*t - 12. Let m be j(-7). What is the highest common factor of 11 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177194495.\nAnswer: 5, 29, 42139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-132)*(-90)\/(-30)*-2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*1 + 15 + -12. Suppose c = -l + 4 + 4, -3*l + r*c = 8. Calculate the lowest common multiple of l and (-71)\/(-4) - 2\/(-8).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i + 3. Let b(w) = -w - 1. Let s(v) = 10*b(v) + 6*o(v). Let t be s(12). Calculate the highest common factor of 4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*w + 70*w + 21*w**3 - 136*w.\nAnswer: 21*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and 0.073?\nAnswer: 0.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtysssnsososmytyn. Give prob of picking 1 t and 1 o.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 + 3*h**2 + 2*h**2 - h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -20, 1\/8, 2\/131, -4?\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/11851 and -61\/15639934.\nAnswer: 109479538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -202, -642, -1332, -2260, -3414, -4782, -6352?\n\"Answer: 2*c**3 - 137*c**2 - 43*c - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2524850.\nAnswer: 2, 5, 50497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in nineteen sevenths of a week?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -246, -4, -21.3 in ascending order.\nAnswer: -246, -21.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48656 + 49787 - 98443 + 100*j**3.\nAnswer: 100*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2. Let g(l) = -2630*l**2. Give g(r(n)).\nAnswer: -10520*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3 = 1. Suppose 5 = -v*x + 7*x. Solve -i + 24 = -5*j, 4*j + 11 + x = -i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*n**2 + 248*n**2 + 215*n**2 + 75*n**2.\nAnswer: 625*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/(18\/2))\/((-6)\/(-4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 3:50 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-32))\/(0 - (-16)\/(-96))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/6 + 7101*i + 1833907\/6.\nAnswer: -(i - 42649)*(i + 43)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -26. Let x(u) = -5 + 0 + c - 3 - u. Let a be x(-5). What is the second smallest value in a, -7, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 0*t - 4*t + 14 - t to the form n + z*t and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 46, 79, 130, 205?\nAnswer: 310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 16) to base 10.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94 = -24*u + 55*u - 340 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from silmwzi. Give prob of picking 1 m and 1 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4437 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -75*r**2\/2 + 47127945*r - 29613909332307\/2 = 0.\nAnswer: 3141863\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.031*0.2\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyflyyffyyoyljyjf. What is prob of picking 2 f?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 20 = 5*d, 0*r - 2*r - 3 = -d. Let n = d - 6. Which is smaller: -2\/7 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/7, 8, -0.2, -69 in ascending order.\nAnswer: -69, -8\/7, -0.2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*q = -96*q + 2241. Let k = -316 - q. What are the prime factors of k?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/23))**(-33)*v\/(v*v**5)*v*v*v\/v**(-2\/9)*v assuming v is positive.\nAnswer: v**(-458\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31211 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**3\/2 - 5*u**2 - 39*u + 1. What is v(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1290 and 1244592?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g - 27. Let j(s) = 2*s - 13. Let w(o) = 4*f(o) - 7*j(o). Let r be w(10). Suppose 2*t = -r*t + 30. Let q(a) = a - 12. Determine q(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*z**4 + 9*z**4 + 37*z**2 - 37*z**2 - z + 2 to the form w*z**2 + f*z + j + l*z**3 + o*z**4 and give o.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-42) - -27*67884\/42. What is c rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1705353 to the nearest integer?\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 9:20 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.999526mg to micrograms.\nAnswer: 5999.526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*k, 0*l - 12 = -l + 4*k. Suppose 12*f - 10*f - 10 = l. Suppose 2*h = f*h - 378. Does 14 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74 - 70. Which is the smallest value? (a) 0 (b) 1\/2 (c) w (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 12. Suppose -18 = 3*l - 2*w, -2*l - 2*w - 3*w - 12 = 0. Let p be (8\/l)\/((-2)\/o). What is the highest common divisor of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3487*i + 3761 - 17709 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1917 smaller than 313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 12, 4\/7, -0.5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4\/60373?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -13750, -1\/4, -1.234 in descending order.\nAnswer: -1\/4, -1.234, -13750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**4\/30 + m**3\/3 - 6*m**2\/5 - 11*m + 4. Factor t(l).\nAnswer: -2*(l - 3)*(l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1795 divided by 359\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/63)\/((-2)\/(-21))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4860)\/(-196))\/(-5) - (79 + -40 - 44)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-two ninths of a day?\nAnswer: 5120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6 + 9*x**2 + 7*x**3 + 15 + x + 2*x. Let w(o) = 3*o**3 + 4*o**2 + o + 4. What is -4*j(q) + 9*w(q)?\nAnswer: -q**3 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 6) + -1 + (2 - (1 - -11)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -96576 * -0.4\nAnswer: 38630.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005194 rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/3 and 77\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 2\/17, 5, -2\/7, -8\/9 in increasing order.\nAnswer: -3\/2, -8\/9, -2\/7, 2\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -3 - (0 + -2). Suppose 16*z + 5 = i + 11*z, 4*i - 4*z - 4 = 0. Suppose i = -70*r + 72*r. Solve r = -u - u + m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40860744 and 22368?\nAnswer: 163442976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 - r - 1. Let z be a(-1). Let k be ((-16)\/(-20))\/(z\/(-5)). What is the second derivative of -2*v**3 + k*v**5 - 3*v + 2*v**3 + 0*v wrt v?\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssy when three letters picked without replacement from ysscyssyoyssc?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m - 10. Let b be s(-6). Is 5\/6 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1854 and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -4553*x**5\/20 + 1900*x**3\/3 + 858*x + 1. What is the second derivative of r(u) wrt u?\nAnswer: -27318*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, j: 2, d: 3, a: 3, r: 5}. What is prob of sequence daao?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 73 + 127 = -3*b, 2*r - 262 = 4*b. Let f be b\/15 - 2\/(-5). Let i be 320\/2*750\/f. Round i to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 - (19 + -12 - 37) - -85?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 41320, 41327, 41338, 41353, 41372, 41395, 41422?\n\"Answer: 2*b**2 + b + 41317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, g: 4, v: 3, b: 4, p: 1, i: 5}. Give prob of picking 1 i, 1 p, and 1 f.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 7*i**2 + i - 5. Let p = -72 - -79. Let d be v(p). Let o be 3 - (-1 - (d + -6)). Solve o = -0*f + 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + g)*(4*g**2 + 2*g**2 - 4*g**2) + (4*g**2 + 3*g**2 + g**2)*(-9*g - g + 3*g)*(27 - 13 - 15) to a*g**2 + b + h*g**3 + k*g and give h.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 14, k: 1}. What is prob of picking 3 p?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 212.9551 + -213. Round f to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/41167201 - -97236929749\/40632027387. Let l = m + 5\/141. Let d = 4633\/4 + -1176. Calculate the common denominator of d and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -665, -1007, -1321, -1595, -1817, -1975, -2057?\nAnswer: -2051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) -2 (c) -1\/57 (d) 5 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 8 + 5 + 1)*((-1 - t + 1)*(t - t - t) + 2*t**2 + 3 - 3 + 3*t**2 + 7*t**2 - 3*t**2 - 2*t**2 + t**2 - t**2 - 9*t**2 + 76*t - 76*t).\nAnswer: -t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 49, 116, 187, 262?\n\"Answer: 2*w**2 + 61*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2093)\/(-483)*(-6528)\/(-442)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76121 and 2092627?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + (-40 - -17) + -14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*m - 257 = 80*m + 3*c, -c = -m + 46 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9106695 and 3465.\nAnswer: 9110160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21440)\/(-536)*13\/8.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 25 = -133. Suppose -4*p = -2*p - 84. Suppose 3*b - 4*f - 4 = -2, 5*b - p = -3*f. Calculate the greatest common factor of b and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 123 - 64. Suppose -29 - t = -f. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/7 (b) 0.01 (c) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/1073 (b) 0 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2684 divided by 160.\nAnswer: 671\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1*(sqrt(4719) - sqrt(4719)*2 - sqrt(4719)))\/(-3*(sqrt(3) + sqrt(27))*5))**2*4.\nAnswer: -1573\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -22*w**2 + 10*w + 12. What is d(-1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0335 and -18.\nAnswer: 0.603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1707 times 0.4?\nAnswer: -682.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19080 + 19077. Let h(g) = -4*g**2 + g - 10. Let j(o) = -7*o**2 + o - 19. Let t(d) = 5*h(d) - 3*j(d). Calculate t(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*i + 2456 - 372 = -1836 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67*(-19)\/(-171) - (1 - -6).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3*-3*5*(6*(sqrt(98) + -2 + -4) + 4))**2.\nAnswer: -5431860*sqrt(2) + 9209169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h**2*k**5 - 8*h**2*k**4 - 3*h**2 - 3*h*k - 4*h wrt k.\nAnswer: 60*h**2*k**3 - 96*h**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -32 + -1?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 - -0.3. What is the second biggest value in 3\/5, 2\/3, q?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8586*j**3 - 1545496*j**2\/3 - 7727720*j - 4800 = 0. Calculate j.\nAnswer: -30, -8\/12879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 2:47 PM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1469.44 less than -14?\nAnswer: 1455.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(52)\/sqrt(4))**2 - ((-1*sqrt(13) - sqrt(13))*4 + sqrt(13))) + -2.\nAnswer: 7*sqrt(13) + 466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3545*b - 345391 = 2019 for b.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 10*q + 2. Let w(u) = 11*u + 2. Let m(s) = 6*o(s) - 4*w(s). What is the first derivative of m(g) wrt g?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11038 rounded to the nearest one hundred?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -586653*n**2 + 35*n - 128683185.\nAnswer: -1173306*n + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*j**2 - 3*j**2 + 0*j**2)*(-102*j**2 + 138*j**2 + 173*j**2) as c*j + m*j**4 + t + q*j**3 + k*j**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*l + 301 + 83 = 42*l for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400802877.\nAnswer: 3, 14844551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times -551048?\nAnswer: -38573.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 113*f + 73. Let m(j) = -71*j - 48. Let h(u) = -5*i(u) - 8*m(u). What is h(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.54003*-0.4.\nAnswer: -0.216012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 141414141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2222070*r**2 + 1338*r**5 + 2222070*r**2 - 3*r**5 + 0*r**5 + 4*r**5 + (r**2 - r**2 - r**3)*(2*r - 2*r - r**2).\nAnswer: 1340*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of w**4\/54 + 14*w**3\/27 + 49*w**2\/9 + 39*w - 24. Let m(z) be the first derivative of y(z). Let m(l) = 0. Calculate l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 168.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilogram in milligrams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r - 28. Let y be u(-29). Let m(x) = -x**2 - x. Let g(c) = -c**3 + 4*c**2 + 4*c + 3. Let h(k) = y*g(k) + 5*m(k). Determine h(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88900 divided by 127?\nAnswer: -700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 462 and 66.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 31*z**3\/3 + 35*z**2\/2 + 20. What is the second derivative of r(a) wrt a?\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -422 (b) 0.4 (c) 0 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8074438135 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 239.03 - 239.02981871. Round c to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -4 (b) 0.3 (c) 1\/4 (d) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1720)\/(-2838)*3344\/950?\nAnswer: 32\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/964 and -45\/14.\nAnswer: 6748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -583, -1137, -1683, -2215, -2727?\n\"Answer: o**3 - 2*o**2 - 555*o - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 266.\nAnswer: -5\/266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*2 - (-4026)\/(-2220). Let n = h - -1\/74. Let j = -43 - -44. Does j = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.4282 times 0.5\nAnswer: -2.2141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - u**2 + u. Let j be r(-1). Let w be j + (4 - (-3)\/3). Let q(n) = 18*n - 8. Is 22 a factor of q(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.956857 millennia?\nAnswer: 29.56857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -80*m**3 + 204280*m**2 + 102155*m + 12770.\nAnswer: -5*(m - 2554)*(4*m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16 and -833754.\nAnswer: 13340064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u**2 - 5*u - 5. Let p be y(5). Let m = p + -87. What are the prime factors of m?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*k. Suppose p + m - 153 = 0, -p - m = 3*m - 147. Let j = p + -152. Solve k*w - j = w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -p**5\/60 - 5*p**4\/12 - p**3 + 3*p**2. Let b be a(-8). Let s = b - 3. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-114 - 43 + 608 - 188 + 949)*(4*v - 3*v - 7*v) to the form w*v + b and give w.\nAnswer: -7272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**7\/1260 - j**6\/240 + 7*j**5\/6 + 84*j**2 - 1. Let g(y) be the third derivative of w(y). Determine g(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-3))\/(6\/(-54)). Suppose q - o = -0*q. Solve n = 4*n - q for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2028*l**4 + 3*l**3 - 5464 wrt l?\nAnswer: -8112*l**3 + 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 2:47 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*f - 4 = 0, f - 3*f - 2 = 0. Let r(d) = d - 18. Let l be r(14). Sort -3, -5, l, b in decreasing order.\nAnswer: b, -3, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84 + 162*b - 46*b - 81 to the form k + g*b and give g.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 651315485 and -3.\nAnswer: 651315482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86187, -86183, -86179, -86175?\nAnswer: -86171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -4*w, 8*w - 5*w = -2*d - 3. Suppose 4*x - 23 = d*m, 2*x + 0*m = m + 9. Let v(k) = x - 2 - 5*k + 3*k. Let p(f) = -f. Determine v(p(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 454\/1067 + -6\/97. What is the common denominator of 19\/7 and y?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10925673 - -1.65127.\nAnswer: -10925671.34873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -6*l. Differentiate 12 - n**2 - 3*n**2 + l*n**2 - n**2 with respect to n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/2)\/((-5)\/(-15)). Let v be 1\/(-5) + d\/(-5). Suppose v = 2*f - 7. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/20 + (-24)\/(-10). Suppose 3*g + 4 = -5*p, z = -2*p - 2. What is the second derivative of 3*k**3 - 3*k**3 - 2*k**3 - g*k wrt k?\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -175 - -176.03. Let b = -0.03 + z. Put 3, b, 1\/2 in decreasing order.\nAnswer: 3, b, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 996 is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6859309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 1. Let k(d) = -6*d - 4*d - 3 + 4*d + 2*d. Give -k(s) - 3*p(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*u + 20 = 3*v, 4*u = -v + 20. Let q = 24259 - 24257. Solve q*j + 10 = -3*z, 0*j + v*j = -z - 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43556702?\nAnswer: 2, 7, 19, 373, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*l**4 + 15*l**4 - 47*l**4)*(-58 + 9*l - 10*l + 85).\nAnswer: 10*l**5 - 270*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(4\/3)*z\/z**(15\/4))\/(z\/z**6)**(3\/5) assuming z is positive.\nAnswer: z**(19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3105 (base 9) to base 6.\nAnswer: 14305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/5)\/(136\/4590)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**5\/12 + 5*b**4\/6 - 75*b**3\/2 - 578*b**2 + 1. Factor m(x).\nAnswer: 5*(x - 5)*(x + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25032 + -18.\nAnswer: -25050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1326*b + 445 = 5*w - 1331*b, 2*w - 5*b - 190 = 0. Calculate the remainder when w is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185 + 427 - 242 - g - 93*g**3.\nAnswer: -93*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 53142264 and 5904696?\nAnswer: 53142264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -6050*k**5\/7 + 35713590*k**4\/7 - 5019838128*k**3\/7 + 364937464*k**2\/7 - 6634368*k\/7 = 0. What is k?\nAnswer: 0, 2\/55, 144, 5759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.277 and 1?\nAnswer: 0.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*v + 278, v = 2*n + 11 - 189. Suppose 0 = -x + 5, 45*j - 44*j = -x + 96. Are n and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375 is divided by 75.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 45*i**2 + 41*i - 92. Determine q(-44).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m - 3. Let d be o(6). Let u be -3 + 2 + 78\/5. Let j = u + d. Is -1 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12740)\/(-1820) - (-35)\/(-6)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4)*a**(-6\/5))**46 assuming a is positive.\nAnswer: a**(-1196\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 561 + -510. Calculate the remainder when 150 is divided by l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 2. Let d be s(10). Let k be (-15 + 11)*2\/d. What is the second derivative of 38*p**3 - p**4 - k - 2 - 3*p - 19*p**3 wrt p?\nAnswer: -12*p**2 + 114*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, z: 2, h: 1, c: 2, b: 1}. Give prob of picking 2 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5649919, -11299839, -16949757, -22599673, -28249587, -33899499, -39549409?\n\"Answer: n**2 - 5649923*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 919028?\nAnswer: 2, 11, 20887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.02 - -29.02. Let b = 24.99999891 - x. Round b to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 + n + 4. Let i(c) = 3*c - 21. Let a be i(8). Give s(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 3*d - 26. Is h(11) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5296 - h + 10596 - 5300.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*j = 10*j. Suppose 2*b - 7 = 2*p + 27, b = -5*p + 35. Suppose -b = -j*k - 4*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 172*s**2 + 2. Let t(j) = -3*j**2. What is i(t(f))?\nAnswer: 1548*f**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + k + 32035491 = 0, 3*h - 3848*k + 19221282 = -3850*k. What is h rounded to the nearest 100000?\nAnswer: -6400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*z + 69*z = 70*z + 6450 for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.19624639907 - 9.72624700007. Let t = b - -9.53. Round t to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2\/11, 0.6, 0.047, 10 in decreasing order.\nAnswer: 10, 5, 0.6, 2\/11, 0.047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -16*d - 2. Let p be b(6). Let f = -57 - p. Calculate the remainder when f is divided by 58\/4 - 3\/(-30)*-5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -7*k**2 - 7*k**2 + 0*k**2. Let v(c) = -42*c**2 - 11*c + 110. Let z(t) = 45*t**2 + 12*t - 120. Let u(q) = 12*v(q) + 11*z(q). Give j(u(h)).\nAnswer: -1134*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -825 or -819?\nAnswer: -819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 288*o + 74*o - 82*o to g*o + b and give g.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -12*m + 5\/3*m**3 - 1\/10*m**5 + 1\/8*m**4 + 66 - m**2. Let g(u) = 0. Calculate u.\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 56\/(-2 - 0)*(-102)\/17. Let f be 12\/14 + 4*6\/m. Let n = 3 - f. Calculate the greatest common divisor of n and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, -0.2, -0.89, -3\/2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 = -14*g - 11. What is the remainder when 130 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 7*v**3 + 10*v**2 - 2*v. Let l(j) = -13*j**3 - 19*j**2 + 3*j. Let g(q) = 6*l(q) + 11*x(q). Factor g(k).\nAnswer: -k*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 68 = -80. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*y - 14 = 0, -i = -0*i + 3*y - 5. Suppose 0 = 2*n + i*n, -5*o - 4*n = 65. Is (-13)\/o*791\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**36\/(n**35\/n) assuming n is positive.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 7:47 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**5\/60 + j**4\/2 + 5*j**3\/3 - 12*j**2 - 3*j. What is d(12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-18)*(-225)\/(-30)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 53, 228, 519, 926, 1449?\n\"Answer: 58*y**2 + y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 286 + 26?\nAnswer: 2ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3459, 0 in decreasing order.\nAnswer: 0, -2, -3459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert ac29b9 (base 13) to base 14.\nAnswer: 77a317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -z**6\/60 + z**5\/30 + z**4\/24 + z**3\/3 + 3*z**2. Let r be s(2). Is 14 a factor of 11 + 1 + (-8)\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9\/4*g**3 - 1\/4*g**4 + 25\/2 - 13\/4*g**2 + 45\/4*g = 0. What is g?\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2\/7 - 16*u - 116\/7.\nAnswer: 4*(u - 29)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d + 12. What is i(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/6344 and -7\/1352.\nAnswer: 82472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 604 + 139. Find the common denominator of p\/((-45)\/5 + 1) and 49\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -224, -1\/82, 0.3, -2\/17 in descending order.\nAnswer: 0.3, -1\/82, -2\/17, -224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/7 at least as big as 2\/4423025?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 596989 - 59?\nAnswer: 596930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29087 and 4543?\nAnswer: 2239699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 4)*(1 - 1 + 2)*(67*l + 62*l - 179*l) as y*l + q and give y.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t + 10. Let w be h(3). Suppose m = w*r + 446 - 1281, 2*m - 850 = -4*r. Suppose 0 = -4*k + 10*k - r. What are the prime factors of k?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(0\/4 + (1 - 0)))\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 889 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24786496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 9 = 1. Suppose -4*b + k = -2*b. Let f = 13 + 11. Solve 3*t + 5*p = f, -4*p - 3 = -b*t - p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*w + 8367 - 28506 - 24606. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 + -2.5. Suppose 2*t - 54 = -3*s, -5*s - t - 3*t + 88 = 0. Let z be 3\/(-1)*(-4)\/s. What is the third biggest value in 0.4, i, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 1. Let t(n) = -14*n**2 + 6. Let x(s) = -12*o(s) - 2*t(s). Let d(i) = -7249*i**2 + 14496*i**2 - 7250*i**2. Determine d(x(r)).\nAnswer: -768*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7228505 divided by -37\nAnswer: -195365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90384484567\/3792847938 + 1034\/1525683. Let r = p + 3\/1243. What is the common denominator of r and -3\/236?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14880)\/(-672) + (-12)\/(-14). Put -4, 4, n in descending order.\nAnswer: n, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19954900 to the nearest one hundred thousand.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*sqrt(13)*-3.\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4464 = 19*j - 3*j. What are the prime factors of j?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 7*h**2 + 6*h - 2. Let w be b(-6). Let x = w - -5. Suppose x*s = -s + 16. Solve r - 25 = -s*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 14*b**2 + 22 + 19*b**2 - 37*b**2 + 3*b**2.\nAnswer: -b**2 + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 greater than or equal to 0.133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiniiiiiiiiininiii. Give prob of sequence iii.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d**3 - 104*d**2 - 100*d + 4. What is q(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x - 10*x - 9*x. Suppose 2*f = -4*n - 18, 3*n - 6*n = 2*f + 13. Let o(p) = 2*p + 1. Let g(c) = -5*c - 2. Let m(j) = f*g(j) + 2*o(j). Give i(m(b)).\nAnswer: 13*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) -1\/3 (c) 0.1 (d) -57\/2 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6453 divided by -2151.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 82?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(12\/76) + 3717. What is the greatest common divisor of s and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-2) + (4 - -1). Suppose q = 3*l - 2. Let y(u) = u**3 - u**2 - u - 1. Let x be y(l). Solve -v + x = -2*i, 2*i + 4*v + 29 = -i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 4*b - 6. Suppose 5*k - 12 = 2*k. Suppose -g = -b - k. Solve -p = i - g*p, -2*p = 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-3)\/6*6. Let v(l) = -4 + l + l**2 + 5 - 2. List the prime factors of v(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 290511113 to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**3 + 6*k**2 - 2*k. Let h be o(3). Let f = h - -2. Suppose -5*z = 5*u - 10, -2*u + 2*z = 4 + 4. Put 4, f, u in ascending order.\nAnswer: f, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/5, -0.5, -3\/5, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1710*b = -2326*b - 3772*b + 193072 for b.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y, -4*y - 88 = -4*q - 724. Let g = -64 - q. Calculate the highest common divisor of g and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a**3*h**2 + 27*a**3 + a**2*h**2 - 9*a**2*h - 48596*a**2 - 18355596*h**2 - 2 wrt h?\nAnswer: 8*a**3 + 2*a**2 - 36711192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*c. Suppose x + 129 - 416 = c. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76)\/114 - (-2)\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/21929 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 1430*w - 609396. Determine g(426).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/280 and 21\/200?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -254 (base 7) in base 5?\nAnswer: -1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -25, -51, -81, -115?\n\"Answer: -2*k**2 - 20*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 26. Let z = 12.3 + w. Let t = -3 + 1. Sort t, z, 0.5.\nAnswer: t, z, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 932 and 2097?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4065625820?\nAnswer: 2, 5, 17, 23, 31, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43057113 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2459 (b) -5\/3 (c) 1 (d) 3\/82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202120102 + 1?\nAnswer: 202120110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 1 - 2*o**2 + 10*o**2 - 1.\nAnswer: 8*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -26*j + 10. Does 18 divide t(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1115 divided by 512?\nAnswer: -1115\/512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3471, -7777, -12083?\n\"Answer: -4306*j + 835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11893067, 23786132, 35679197, 47572262, 59465327?\n\"Answer: 11893065*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1778 - 1771. Let k(s) = -s**2 + 15*s + 61. Let n be k(18). Solve 0 = w*m + n - 28 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4419118 less than 66756?\nAnswer: -4352362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-355 - -307 - (-20 + 3)) + -44\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4251, 8700, 13359, 18228, 23307, 28596, 34095?\nAnswer: 39804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t + 3*t + 9*t - 9*t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 140606?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (356*u + 67*u - 116*u)*(-29 - 40 + 77)*(2 - 5*u + 4*u - 3) to f + l*u**2 + s*u and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 32058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*h = 6, -3*i = 4*h - 11 - 3. Let d(b) = 3*b**2 - i*b + 2*b**2 - 6*b**2 + 0*b**2 + b**3. Calculate d(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/2 - ((-95890)\/(-2070) - 40) and -117\/3542.\nAnswer: 31878","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -15, 1235 in decreasing order.\nAnswer: 1235, 1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -7971, -4, 118 in ascending order.\nAnswer: -7971, -4, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4 + (3 + sqrt(2) + -1)*-2 + 2)**2.\nAnswer: -24*sqrt(2) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 288 + -77. What are the prime factors of f?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -6, 0 in decreasing order.\nAnswer: 2, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1208)\/9 - (-22)\/99. Calculate the lowest common multiple of (-6)\/(-10) - x\/10 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 524928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o + 650. Let b(d) = -4*d - 1301. Let x(f) = 3*b(f) + 7*u(f). Is x(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1251597094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*b**5 + 115*b**4 - 800*b**3 - 6230*b**2 + 33550*b - 15125 = 0. Calculate b.\nAnswer: -11, 1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1062, 1642, 2222, 2802?\n\"Answer: 580*s + 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -355*r - 130. Let b be q(7). Let z = b - -4376. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5224594, 5224586, 5224552, 5224480, 5224358?\n\"Answer: -2*d**3 - d**2 + 9*d + 5224588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -2\/3, -1 in descending order.\nAnswer: 1, -2\/3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -48028 divided by -4?\nAnswer: 12007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18647, -18914, -19181, -19448, -19715?\nAnswer: -19982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5090 divided by -5\nAnswer: -1018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120 + -3130310?\nAnswer: -3130130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-7)*(-1508)\/16. Let p = r + 5577\/56. What is the common denominator of p and -36\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*i**2*t**3 - 2*i**2*t**2 + 16*i*t**3 - 89*t wrt t?\nAnswer: -66*i**2 + 96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 377 divided by -13?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8909131l in millilitres?\nAnswer: 890.9131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -49430 <= -1263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8694 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) + -4 + -2.\nAnswer: -6 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 4*h - 48. Let q be (-1356)\/3*(-2 - 1)\/h. Suppose 43 = 4*p - q. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192 = 429*l - 445*l for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6381*r**2 - 2*r + 1301 wrt r?\nAnswer: -12762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by 155.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 12 = -2*p + 2*f, 12 = 3*f. What is the remainder when 10 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -350 divided by 12.\nAnswer: -175\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.05 (b) 9 (c) 0.006 (d) 2\/5 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 4. What is the third derivative of 3*k**6 + y*k**2 + 0*k**6 - 2*k**2 wrt k?\nAnswer: 360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 2)\/(3\/9). Suppose -p - 7 + 6 = -2*r, -9 = -11*r + 5*p. Solve -r*s + 9 = -y for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mcbb when four letters picked without replacement from cmcbctcmb.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 75, 152, 229, 306?\n\"Answer: 77*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 4423 and 0.164255 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41244224?\nAnswer: 2, 7, 43, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2 - (-9)\/2. Suppose -u + k*u - 6 = 0. Find the second derivative of 2*o**2 + 0*o - 4*o**u - o wrt o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttytttyttttt. What is prob of picking 3 t?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqaqaqqqqq. Give prob of picking 2 q and 2 a.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f - 3*f + 5*f)*(-2 + 0 + 1 + (1 - 2 + 2)*(3 - 4 + 0) + 2 - 1 - 3 - 3 + 4 - 3 + 39 - 4 - 9 - 60 + 28 + 34) to the form d + v*f and give v.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(36)\/sqrt(4)*-6).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6868? (a) -2 (b) 3 (c) -0.3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10000101000010 (base 2) to base 3\nAnswer: -102200100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 173 + 2662*w**2 + w - 2662*w**2 + 72*w**3 with respect to w.\nAnswer: 216*w**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4209321934?\nAnswer: 2, 2104660967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 + 17 = 18*n. Solve 2*c - c = n, 3*h + 27 = 5*c for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + 3 + (1 + 0 + sqrt(3) - sqrt(3))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6362 = -4*c + 26874. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 1)\/((-1)\/(-14)). Let x = t - -17. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 greater than or equal to 18186\/95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -715.611 - -715. Let y = 0.9 - 1.5. Let z = p - y. Round z to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*q - q - 26, -10 = -q + 5*m. Let t = q - 20. Let z(r) = -r. Let i(x) = -x. Let y(n) = -i(n) + 3*z(n). Calculate y(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212636?\nAnswer: 2, 17, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 8492 = q, 0 = -2*q - 4*l + 9521 + 7533. What are the prime factors of q?\nAnswer: 3, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -484 - 117?\nAnswer: -612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n + 2. Suppose -5*i = 10, 2*u - 54 = -i - 828. Let r = u - -378. Calculate k(r).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57090409 to the power of 1\/2, to the nearest integer?\nAnswer: 7556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -7*f**6\/60 - 4*f**5\/3 - 23*f**4\/12 + 10*f**3\/3 + f**2 - 27. Suppose d(s) = 0. What is s?\nAnswer: -5, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58281145157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 186426 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c**2 + 0 - 6*c - 4*c**2 + 0 + 2. Calculate l(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 12. Let t be (-2)\/f + 759\/(-4). Let a = -71 - t. Calculate the highest common factor of a and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 21034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 380001*g**2 + 2*g. Let f be x(-2). Round f to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 4)*(2*s**2 + 0*s**2 - 6*s**2) - 6*s**2 + 2*s**2 + 3*s**2 + (-2*s - 2*s + 3*s)*(s - 3*s + 6*s) to x*s + i*s**2 + v and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/3)\/((-12)\/(-432)*24)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d**2 + 3*d + 3. Let z be h(3). What is the common denominator of 76\/(-6) + (-6)\/z and -109\/88?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3 + sqrt(175))**2 + 5.\nAnswer: -30*sqrt(7) + 190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123403957 is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003367386 rounded to six dps?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 11. Let l be k(11). Is l bigger than -4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.33 and -232.\nAnswer: -231.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(2 + (-15)\/5). Suppose 2 = 2*w - 6. Let r(f) = -f - f + h*f + w*f. Let k(j) = -19*j. What is r(k(z))?\nAnswer: -38*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 64 - 4 = 0. Suppose -o + 2*g + 32520 = -80488, 5*g = -m. What is o rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*9 - (-1 + 2). Let g = -154749\/16 - -9667. What is the common denominator of g and (445\/(-15))\/(b\/6)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + j + 2. Let k be m(2). What is the closest to 1 in -1, -0.2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - f + 43 = 61 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 1 - (23 + -4 - 17).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 2.801898ms?\nAnswer: 2801.898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1527225 and 1050.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((1 + sqrt(448))**2 + (sqrt(448)*-2)**2 + sqrt(7)).\nAnswer: 102*sqrt(7) + 13446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 18*u**2 - u - 4. Let d(x) = -2*x**3 + 20*x**2 - x - 5. Calculate 4*d(j) - 5*z(j).\nAnswer: -3*j**3 - 10*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**4\/4 - 2*b**3 - 7*b**2\/2 - b + 68. What is j(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 7. Suppose -12 = -o*r + 19*r. Solve -r*p + y = 16, 6*p + y = 2*p - 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-two sevenths of a week?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39928.\nAnswer: 2, 7, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**3 - 5*z**2 - 4*z - 1. Let h(w) = 2*w**2 - w - 36. Let f be h(-6). Suppose f = -14*t - 0. Calculate j(t).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(4 - -14))\/(1\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 + 2*c**2 - 4*c**5 - 61*c**4 + 6*c**5 + 61*c**4 + (12*c**2 - 29*c**2 + 2*c**2)*(-2*c**3 + c**3 + 2*c**3).\nAnswer: -13*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -2. Suppose b*l = -15 - 15. Let h(k) = k**2 + 5*k - 1. Let x be h(l). Solve -4*y + 3*q = -x, 12 = 5*y - q + 3*q for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, 0, -1\/3, 1.17, -10?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 6*w + 1. Let j be v(-2). Let d(i) = i**3 + 10*i**2 - 10*i + 15. Let o be d(j). Let h be ((-1 - 2) + 2)*-1. Put o, 3, h in ascending order.\nAnswer: h, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -22 + 25 - 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9437?\nAnswer: 9437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1626\/(-15) + 288\/1080*-9*(-10)\/60.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.43, 1\/4, -2\/11, 0.2?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**7\/560 - 9*b**6\/320 + 61*b**2\/2 + 9*b. Let w(i) be the first derivative of d(i). Determine g so that w(g) = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27304750 (base 8) to base 11.\nAnswer: 3507746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -39*8\/12*-5. Let t = 0 - -52. What is the highest common divisor of t and w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88664 and 4192.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 465 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 4. Suppose -x*o = -22 - 14. What is the greatest common factor of o and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4290 = -77*z. Calculate the greatest common factor of z and 4895.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6028)\/(-2740))\/(84\/60*4\/7)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 5, -0.2, 7, -2\/7 in increasing order.\nAnswer: -7, -2\/7, -0.2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 10:30 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 454 a factor of 712088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*1\/(-30)*-3*4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.7, 0, -2\/95, -1\/3, 0.3 in descending order.\nAnswer: 2.7, 0.3, 0, -2\/95, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 7, -2\/15, 2 in descending order.\nAnswer: 7, 2, 1\/7, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 5*i + 5*y = 5, 0 = -2*i - 3*y + 3. Let v be 6\/(-4)*(-1 - 1). Solve -5*u = i, -o + 3*u - v = 2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1507174, -1507121, -1507030, -1506901?\n\"Answer: 19*c**2 - 4*c - 1507189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (64 - 130 + 71)*(5*y + 16*y - 7*y) + (-y - 2*y + 2*y)*(-4 + 2 - 2) as g*y + z and give g.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -771, -1550, -2325, -3096, -3863, -4626?\n\"Answer: 2*c**2 - 785*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*w + 19 - 3*w**2 - 19.\nAnswer: -3*w**2 - 16*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28619 + y + 28619.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -75 - 13. Let g be (-51)\/264 - (-4)\/y. Which is the third smallest value? (a) -2\/13 (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/10)\/(l**(7\/2)*l)*(l*l**(-2\/7)*l*l)\/l**13)**(-10) assuming l is positive.\nAnswer: l**(1028\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182975 - 182975 - 2*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t**2 - 3*t - 3. Let q(a) = 7*a**2 - 4*a - 3. Suppose 36 - 6 = -5*f. Let d be 406\/1218*3*1*(-10)\/(-2). Calculate d*q(s) + f*w(s).\nAnswer: -s**2 - 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -3739000 to the nearest 100000.\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68 and 8098.\nAnswer: 275332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6134542433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4468 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 3, -15.399, 1, -9\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19.2 - 19. Which is the nearest to -2? (a) 0.07 (b) s (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4\/13 + 106*u**3\/13 + 1000*u**2\/13 - 8448*u\/13 - 69120\/13 = 0. What is u?\nAnswer: -8, 9, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5068, -20123, -45208, -80317, -125444, -180583, -245728, -320873?\n\"Answer: a**3 - 5021*a**2 + a - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216 and 1992?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o + 5. Let y(b) = -b - 4. Let i be y(-8). Let k be r(i). List the prime factors of (-240)\/k - (-14 + 10).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*r = 118 + 2, -5*f - 2*r - 123 = 0. Let m be (-30)\/f*10\/6. Let h(s) = s + 7. Let x be h(-3). Solve -3*c = 0, -x = -m*i - 0*c - c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 0) + -1 + (9 + 1 - 24)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + y + 19 = 0, 0 = 5*a + 4*y + y + 15 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) 0.28 (c) -3 (d) 0 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -1\/3 (c) -0.02 (d) -0.06 (e) -0.6 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 1373252.\nAnswer: 1373250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*sqrt(1539)*-3 - (sqrt(475) - (sqrt(475) - (sqrt(475) - (sqrt(475) + -4)**2)) - (sqrt(684) + -3)).\nAnswer: 488 + 177*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -336 + 0 - (-9)\/9. Let o = -328 - t. Solve 4*p - o*p = 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 y when two letters picked without replacement from ayaaqjbba?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 1 + (3 - (-6 - 1) - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by ((-5)\/(-10))\/((-2)\/(-48)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3*16)\/(-4)*1160\/(-15).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -921 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 - (4 - 1) - -3577.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 k, and 1 h when four letters picked without replacement from hgkgkhkghkgg?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5007*j**2*y**3 - 26*j**2*y**2 - 3*j**2 - 26*j + 199*y**3 - 91 wrt y.\nAnswer: 30042*j**2 + 1194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -1 + (4\/12 - (-665)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2530 not equal to -3128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 3. Suppose q - 5 = -2*z. Let u = 23 + -21. Solve z = c - u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -30*w**2. Let m(j) = -46*j. Give h(m(t)).\nAnswer: -63480*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -3 - 4\/4. Let l = k + -1. What is the remainder when (62\/l)\/(1\/(-2)) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9531966, -9531963, -9531960, -9531957, -9531954, -9531951?\n\"Answer: 3*z - 9531969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10104 + 10103.9933521. Let g = -0.0067 - h. What is g rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 s when three letters picked without replacement from {l: 2, s: 5, g: 2, b: 3}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + -2.8. What is the second smallest value in -5, 12, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i - 3. Let u(j) = 4898*j - 11. Calculate 3*r(z) - u(z).\nAnswer: -4892*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.44748626 rounded to 2 dps?\nAnswer: 1.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -916 or -35894?\nAnswer: -916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30688539 = 7*z + 17*z - 19565949. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 537264 a multiple of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1309 + -0.0691. Let a = 29 - 15. What is the smallest value in a, g, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 287906.1 minutes?\nAnswer: 4798.435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18276635*m + 7573596?\nAnswer: 18276635","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -155781 + 155781.66273. What is s rounded to two decimal places?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.1 - -2. Let b = -0.303 + 0.803. Put b, n, -1\/3, 2 in descending order.\nAnswer: 2, b, n, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 921073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 12:55 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**3 - d**3 - 3*d**3 + (0 - 5 + 3)*(-2*d**3 - 3*d**2 + 3*d**2) + 7*d**3 + 5*d**3 - 8*d**3.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-20))\/(5\/(-100))*-1*(-75)\/75\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 812390281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 = 17*v + 257 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19.6 - 1.6.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31142793?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60 - 60.1. What is the third smallest value in 0.05, y, -0.4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.06, -13354, 10\/9, -1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 6*z + 3980 = -7*z, -3*h + z = -1495. What is the remainder when h is divided by 119?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144290*i = 144196*i - 5264 for i.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/((-6)\/9) - -636. Let y = 1018 - i. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -14*o + 0*o**2 + 39 + 1\/60*o**5 + 1\/6*o**3 - 1\/9*o**4. Let m(c) be the first derivative of h(c). Let m(d) = 0. What is d?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.651 + -0.051. What is the third smallest value in -2, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -5 - (3 + -4 - 4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.23, -357899 in decreasing order.\nAnswer: 2, 0.23, -357899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -64878 in decreasing order.\nAnswer: 5, -1, -64878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h**2 - 6*h - 7. Let o = -13 - -11. Let q be o*1\/(-3) + 12616\/57. Let k be q\/30 + (-2)\/5. Let d(y) = -2*y**2 - 2*y - 2. Calculate k*d(r) - 2*p(r).\nAnswer: -4*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-42 + -3)*(-1 + 0). Suppose 3*x = -3*b, -3*x + 4*b = 2*x - j. Let r be ((-2)\/(-4))\/(2\/8). Solve 0 = -4*n - 3*y + 6, r*y - y + 17 = x*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63409 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(525)*1)\/(sqrt(28)\/(sqrt(16)\/sqrt(4))) + 0 + (sqrt(24)\/(sqrt(8)*-2) - (-1 + sqrt(3) + -5)).\nAnswer: 6 + 7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -100) + -154 - 54\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4612*a + 13 - 21 + 8 - 3087*a in the form o*a + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -330 - -2?\nAnswer: -32a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 522\/(-35) + (2 + 4 - -3).\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 3*d**2 - 5*d - 7. Suppose 18*f + 3768 - 1284 = 0. Let g be (-4 - f\/42)*-7. Determine l(g).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-2*sqrt(119) + sqrt(119))\/(sqrt(63)\/(-2*sqrt(9)) - sqrt(7) - sqrt(7)))**2.\nAnswer: 3332\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-36) + 1496\/720. Which is bigger: x or 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1401*x + 1384*x - 2783*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 17476*y + 376. Let b(c) = 4369*c + 98. What is 23*b(m) - 6*r(m)?\nAnswer: -4369*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18730 = 5*l + 4*w, 13391 = 4*l + 4*w - 1589. Round l to the nearest 100.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmssms. What is prob of picking 1 s and 3 m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6.831492 micrometers?\nAnswer: 6831.492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 62 + -2?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -t + 0*t + 9 - 2*t + 14 in the form i + d*t and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**2 - i**2 + 16*i**2 + 3*i**2 to p*i**2 + s + d*i and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {w: 2, v: 2, a: 6, x: 3, e: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -351 divided by -117\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*r = -40*r - 49*r + 143*r. Solve -3*l + 4*z + 0 + 7 = r, 7*l + 37 = -4*z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 5*s**2 - 9*s - 2. Determine p(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26115602 = -185*n - 26124297 for n.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.85? (a) 5 (b) -1\/3 (c) 0 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*3\/8)\/((41\/(27347\/87))\/1).\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0347431 less than -4706687?\nAnswer: -4706687.0347431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44.23 + -0.23. Let v = -41.9 + m. Let p = 2 - v. Is p not equal to 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22602727 to the power of 1\/3, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1012121211 (base 3) to base 6.\nAnswer: 302034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/3)*r*r**(-5\/4)*r)\/(r*r\/r**(-15)*r**32*r) assuming r is positive.\nAnswer: r**(-587\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 56*o + 594 = 2069 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3 = -f, 40 + 22 = 4*f + 2*x. Suppose 2*r + 0*r + 5*g = f, 2*r + 3*g = 10. Is 12 a factor of 1\/(5\/305) + r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 10 = -22*l. Suppose 0 = -4*n + 5*n. Put n, l, -11 in descending order.\nAnswer: n, l, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 4*a - 1424 = -1565, -4*f - a - 16 - 15 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bsshhux. Give prob of sequence hhu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -14*h + 4. Calculate the remainder when 84 is divided by b(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**2 + d - 20. Let z(k) = -k**2 - 11. Let g(y) = -2*a(y) + 5*z(y). Let q be g(-3). Solve q = -2*l + 2 - 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 63. Let v(c) = -i*c + 1 - 2 + 0 - 30*c. Is v(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 + r**5)*(1915 - 179 - 807 + 1953).\nAnswer: 2882*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 156475*h**4 - 290*h**2 - 155049149*h?\nAnswer: 1877700*h**2 - 580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 - -87. Suppose -30205 = -j*m - 0*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33105 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*b = -45, -4 = 2*d + 2*d + 4*b. Let q be 2\/(-6)*((-180)\/5)\/d. Suppose 0 = 2*x + 2 + 4. Is x greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*-1388183.\nAnswer: 971728.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 85 - 220. Let h be 34\/(-18) - 5\/u. Let i(y) = y**2 + y - 2. Let c(z) = z**2 - z - 1. Calculate h*c(b) + i(b).\nAnswer: -b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -64, -207, -436, -757, -1176?\n\"Answer: -c**3 - 37*c**2 - 25*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2922 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -6*p - 1\/12*p**4 + p**3 - 1\/2*p**2 + 11. Let b(u) = -u**2 + 7*u - 1. Determine 6*b(k) - 7*r(k).\nAnswer: k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3\/2 (b) 0.13 (c) 1\/15 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9893 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38314 + 54861. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 92969 and -1.068.\nAnswer: 92967.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*5\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2566, -894, 1686, 5168, 9546, 14814, 20966, 27996?\nAnswer: 35898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 835 - 835. Let v(m) = m**2 - 7*m + 2. Let y be v(5). Let f = 12 + y. Solve 0 = w - f, 5*q + 3*w - 4 - 18 = s for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23.27596 and 0.165?\nAnswer: 3.8405334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1389*c**2 - 289*c - 184*c + 471*c + 1 in the form b*c**2 + l*c + p and give b.\nAnswer: 1389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 35916 - a?\nAnswer: 35907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 11*q + 9. What is f(2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19050033, -19050034, -19050035?\nAnswer: -19050036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 55 = -6*p. Suppose -3*i = 3, -3*i + p*i + 2 = 4*t. Solve t = 3*q + 3 - 15 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/7 - 66600*t\/7 + 57096.\nAnswer: -2*(t - 6)*(t + 33306)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 48*p**2 + 5979*p + 283215. Determine w(-47).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 816218 is divided by 17004.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37556989?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12712 + 38140\/3. What is the closest to 18 in -8\/9, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-324)\/42*2184\/(-624)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.13 - -11.13. Let z = 133.48544 + -122.4851. Let q = n - z. What is q rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 + 42.2. Let d = -22 - -15. Let m = d + 2. Which is the smallest value? (a) 4 (b) p (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95914568 is divided by 388318?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -354*w - 50279. Determine j(-142).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(3 - 3 - 5*l + 0 + 3*l + 0 + 0*l + l + l - 2*l + 0*l + 0*l + (-4*l + l + l)*(-2 + 2 - 2)).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 209056 and 4906048?\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*o = 106*o + 2196. Suppose 330 = -9*h + o. Suppose -5*j - 2 = -22. What is the greatest common factor of h and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 12:10 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1815 is divided by 602?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*o + 3. Let u(q) = 1. Let d(t) = -6*t - 3. Let j(g) = o*d(g) + 4*u(g). Is j(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153615?\nAnswer: 3, 5, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -23*v. Let x(g) = -g**2 - 24*g - 446. Determine w(x(y)).\nAnswer: 23*y**2 + 552*y + 10258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2 - 3274*i - 19638. What is z(-6)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 22 - 9) + -37 - (1 - (-1 - -1))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 16. Suppose -2*m - 52 = -u*m. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -10.2, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + sqrt(320)*-5 - sqrt(20))\/((sqrt(36)*1)\/sqrt(9)).\nAnswer: -20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1277300 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, j: 5}. Give prob of picking 3 u.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23\/19 - -111\/76. Let d = 0.3 + -0.1. Let k be 3\/(-4) - 931\/(-1444). What is the closest to v in k, -1\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 + 2*v**2 + v**2 - 18*v + 18*v + 4*v**2 + (-2*v - 2*v + 3*v)*(-2 + v + 2) - 3*v**2 - 2*v**2 + 2*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3941 by 6559.\nAnswer: -563\/937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 5)*(7 + 2*v - 7).\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*w - 3. Let r be (-18)\/8 + w\/4. Let j be (-10)\/(-4)*(-36)\/45. Is j >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 59*p + 130*p = 13*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c - 20. Let j(l) = -2*l**3 - 18*l**2 + 13. Let i be j(-9). Let v be u(i). Determine k, given that -16*k - 32\/3 - 2\/3*k**3 - v*k**2 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19\/19)\/(7*1)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = 1927*g - 1930*g - 4*z, 3*g - 60 = -3*z for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22227798 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + 1)\/(15\/60). Suppose 3*w - 6 = 24. Suppose -3*a - 4*g = w, -5*a - 4*g - 2 = 4. What is the greatest common divisor of o and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 - 4*v + 2. Let f be s(2). Suppose f*i + 8 = 4*i. Suppose -28 = -2*d - i. Calculate the greatest common factor of 48 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 3*r + r)*(2*r**3 + 1 - 1) + 99*r**4 + 6*r - 340*r**4 - 6*r.\nAnswer: -237*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j**2 + 3938*j**3 - 3901*j**3 + 13*j**2.\nAnswer: 37*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 6*y + 306. Let s = 30 + y. What are the prime factors of s?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*n = -n + 124, 5*n - 265 = -5*y. Suppose -4*o = 2*v - 32, 71 = 5*v - 3*o - y. Is 15 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -41*v - 1. Let p be h(-1). What is the common denominator of 5\/(-2)*146\/p and 1\/(-3) - (-104)\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(4)*1 + sqrt(15) - -2*sqrt(135))*5)\/(sqrt(35)\/(sqrt(21)\/sqrt(3)) - (sqrt(270)\/sqrt(6) - sqrt(45)))*6.\nAnswer: 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -104412897611365.399 + 104411525242428.39900026. Let f = d + 1372368957. Let t = 20 - f. What is t rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*d*f**2*t + 7*d*f**2 - 2*d*f - f**2*t - 549*f**2 + 24*f*t + 11648*t wrt f?\nAnswer: 70*d*t + 14*d - 2*t - 1098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 i, and 1 u when three letters picked without replacement from {t: 1, i: 1, u: 1, f: 1, b: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2992138*n**2. Let a(j) = 3*j**2. What is a(v(i))?\nAnswer: 26858669433132*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**5 - 2*p**5 + p**5 + p**2 + 2*p**5 - p**2 - 2*p**5 - p**5 + p**5 + (-2*p + 4*p + 3*p)*(-2 - p**4 + 2).\nAnswer: -4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -7.85 (c) -255\/8 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(3\/20))\/g**(-19)*g**(-21)\/(g\/g**(-2\/17)))**(2\/3) assuming g is positive.\nAnswer: g**(-257\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 152588567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -25530, -51063, -76600, -102141, -127686, -153235, -178788?\n\"Answer: -2*h**2 - 25527*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**3 - 14056286*c**2 + 449799616*c - 3598392832 = 0 for c.\nAnswer: 16, 7028111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33.96 - 32. Round l to 1 dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b3530 (base 14) to base 8.\nAnswer: -3545666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16272 - 16252. What is the lowest common multiple of v and 1787?\nAnswer: 35740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 7*t - 4*j + 33 = 0, 6*j = 18 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158 = 2*q + 8*y, 197*q - 202*q = -y + 25 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.061 + 0.661. Let a = 5.9 - 5. Let y = a - 1. Sort h, y, 5 in decreasing order.\nAnswer: 5, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/7))**(1\/4)*u**(-7)\/(u**(-2\/7)*u*u))**(3\/29) assuming u is positive.\nAnswer: u**(-369\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33343.8 minus -230689?\nAnswer: 264032.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*50\/60)\/(1\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 1:47 AM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 2\/3*i**2 + 19 - 2\/9*i**3 + 0*i. Factor k(h).\nAnswer: -2*h*(h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 19, 44, 89, 160, 263, 404?\nAnswer: 589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**3\/11 + 2642*q**2\/11 - 26198*q\/11 - 2622 = 0. What is q?\nAnswer: -1, 11, 1311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31805377 and 208847.\nAnswer: 6737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m**3 + 5*m**2. Let x(r) = -r**2 - 2*r + 19. Let s be x(-6). Let p(i) = -5*i**3 - 6*i**2. Determine s*p(z) - 6*d(z).\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2029 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 60933 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: Expand (1 - 1 - y)*(-2*y + 3*y**2 + 2*y) + (-268*y + 213*y + 462*y)*(2*y**2 + 1 - 1).\nAnswer: 811*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5367c (base 13) in base 11?\nAnswer: a30a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1510959 to the nearest 1000.\nAnswer: 1511000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + sqrt(11))*5 + ((-1*sqrt(132))\/sqrt(12) - ((sqrt(11) + 1)*3 + sqrt(11)))**2.\nAnswer: 35*sqrt(11) + 285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 5 + 13 = 5*k, 12 = 3*t for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 2. Let a(p) = 112*p - 52*p - 52*p - 12. Let y(v) = -a(v) + 6*j(v). Let q(s) = 12*s + 1. Calculate y(q(h)).\nAnswer: -24*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -482, -789, -1098, -1409, -1722, -2037?\n\"Answer: -f**2 - 304*f - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54952 and 2752?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 448 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/15269?\nAnswer: -2\/15269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 25.5. Let y = g - -1.5. Let h = 1 - y. Which is the second biggest value? (a) h (b) -0.1 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 73\/36 + (-26)\/(-117) + -2. Which is the nearest to y? (a) 0 (b) -0.4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278642?\nAnswer: 2, 7, 13, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/((-945)\/(-7))*2\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.1 (c) 5 (d) 0.055 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2450, -4963, -7472, -9977, -12478, -14975, -17468?\n\"Answer: 2*f**2 - 2519*f + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z**(-6)\/z*z)*z)**(-31)*z**3*z*(z**(-28)\/z*z)\/z)**36 assuming z is positive.\nAnswer: z**(-10944)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 12:13 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 8:08 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*x - 1. Let w(d) = 2*d**3 - 1 + 3*d - 4*d**x + 0 - 2 - 5*d. Let k(s) = -s**3 + 3*s**2 + 2*s + 2. Determine 4*k(t) + 3*w(t).\nAnswer: 2*t**3 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3525487 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9324 + -4816. List the prime factors of c.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*c - 67 = c, 0 = -p - 2*c + 20. Find the common denominator of p and (-480)\/(-92) + -3 - (0 - -4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 313*n**2 - 460*n - 6 + 230*n + 228*n as h + d*n**2 + f*n and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1800)*2 - sqrt(1800))\/sqrt(10).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 11880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -1883 (b) 148 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 18 - 13 - 5 + 6*y. Let p(s) = -3*s**2. Calculate p(c(f)).\nAnswer: -108*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -14*v**3 + 3*v**2 + 5*v - 12. Let z(c) = -15*c**3 + 3*c**2 + 2*c - 15. Determine 6*d(t) - 5*z(t).\nAnswer: -9*t**3 + 3*t**2 + 20*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 13*j**2 - 2579*j + 76628. Determine v(162).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d + 7*d - 25*d**3 + 2*d**2 + 4*d + 137*d**3. Let b be o(5). Is b\/25 - 4\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1259954242.\nAnswer: 2, 29, 749081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1152) + sqrt(8)*-3.\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 4. Let x = 6.91 - -0.09. Let d = x + -6. Which is the nearest to -1\/2? (a) d (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 875305870 to the nearest integer?\nAnswer: 29586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**3 - a**2 - 4*a - 4. Let g(b) = 3*b**3 - b**2 - 3*b - 3. Let d(i) = 4*g(i) - 3*n(i). Let v be (-1)\/3*(-3 - -6). Let r = v + 2. Determine d(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*l = -6*n - 5, -15 = -n - 4*l. Let t(m) = -m**2 - 3*m + 12. Let a be t(n). Let z be 20\/(-25)*(-9)\/(-4). Which is smaller: z or a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2296 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z**3 - 6*z**2 + 178*z + 17. Let m(w) = -5*w**3 + 8*w**2 - 237*w - 22. What is -7*m(k) - 9*t(k)?\nAnswer: -k**3 - 2*k**2 + 57*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13979 bigger than 125822\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 3*m + 2*m - 535, -5*s + 2*m + 677 = 0. Let o be s\/(-20)*(-8)\/(-3). Let h = 93 - o. What are the prime factors of h?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9164, 14364, 19566, 24770, 29976, 35184, 40394?\nAnswer: 45606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z - 28 = 22 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 - -3 - 24\/(-14). What is the third biggest value in 1, q, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-12)*x**(-1))\/((x**(3\/10)\/x)\/x**15) assuming x is positive.\nAnswer: x**(27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 8. Calculate the least common multiple of 5 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/(-24))\/(2\/6). Solve -4*q = -c - 12, -2*q + t = c - 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 11*s**2 - 12*s + 10. Let o be g(10). Let p = -6 - o. Calculate the remainder when 14 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1826648696 to the power of 1\/2, to the nearest integer?\nAnswer: 42739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k\/(k**3*k))\/k*k))\/k)\/k)**(-2\/5)*k**8\/k*k**1 assuming k is positive.\nAnswer: k**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(1\/7)\/i)\/i)\/i)\/i**41)\/((i\/((i**(-29)*i)\/i))\/(i*i\/(i**18\/i))) assuming i is positive.\nAnswer: i**(-622\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 12 + 2 = 5*d, 4*c = -3*d + 2. Let k be c\/(((-4)\/28)\/((-3798)\/21)). Let t = k + 1839. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5787227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 144\/256*(-35328)\/(-288)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 20 - 10. Let h be (-7)\/(-3) + p\/15. Suppose x - 60 = -h*r, 5*x - 3*r - 340 = 2*r. What are the prime factors of x?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23837 + 23839. What is the smallest value in 0, 16, -1, i, 0.12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1543584358 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -7*j - 4. Let m(z) = -21*z - 13. Give -2*m(y) + 7*p(y).\nAnswer: -7*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eee. Give prob of sequence ee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 + 496*j - 6240.\nAnswer: 2*(j - 12)*(j + 260)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -306847300 rounded to the nearest one hundred thousand?\nAnswer: -306800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1429*j**3 + 5625*j**3 + 4766*j**3.\nAnswer: 8962*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15073374?\nAnswer: 2, 3, 2512229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 7*m**2 + 5*m - 10. Let p be d(-8). What is the common denominator of (11\/8)\/1 + 0 and p\/20*492\/(-28)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1992 a factor of 4101528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92133.67 tonnes to micrograms.\nAnswer: 92133670000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 855026163*y**4 - 13063187*y**2 - 2*y - 2?\nAnswer: 20520627912*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.2 (b) -5 (c) 334 (d) -443\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-4))\/((4848\/7104)\/(-101)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, x: 3}. What is prob of picking 4 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**3 + 0*n**3 + 3*n**3)*(-1 + 0 + 3 + (1 - 6 + 2)*(-1 + 6 - 1))*(-3 + 1 + 3).\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211273152?\nAnswer: 2, 3, 1100381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 - 5*a + 7*a - 2*a - a**2 wrt a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18108*g*i*j*u - 2*g*i*u**2 + 2*g*u**2 + i*j*u**2 - 3*i*u + 2*u + 83988 wrt j.\nAnswer: 18108*g*i*u + i*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*sqrt(17)*2 - (sqrt(34)\/sqrt(2) + -4)*-4 - (-4 + 0 + (-2 + sqrt(1377) + -2 - sqrt(1377)))**2.\nAnswer: -81 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j**7\/280 - j**4\/6 + 4*j**3\/3 - 1. Let g(c) be the third derivative of y(c). Differentiate g(q) wrt q.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3851, 7683, 11515, 15347, 19179, 23011?\nAnswer: 26843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 6 + 82 = 2*i, 46 = 2*n - 3*i. Calculate the remainder when 482 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*b + 14 = 0, -5*r - b + 2 = -37. Let j be (8\/(-10576))\/(2\/r*2). Let y = -114311\/27762 + j. What is the common denominator of y and -79\/22?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 6799\/213?\nAnswer: 6799\/213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21039739?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 61*d**9\/126 - 5*d**8\/336 + 41*d**5\/30 - 11*d**4\/24 - d**3\/6 - d**2 + 928*d + 2. Find the third derivative of h(z) wrt z.\nAnswer: 29280*z**3 - 300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.12042801 rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 324203 (base 8) to base 2\nAnswer: 11010100010000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(2\/6)\/((-2)\/(-3)). Let d(q) = q - 4. Let u be d(-14). Let m = u + 22. Solve 2*k - 2*t = 0, f = -m*k - 3*t - 4 - 17 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 171573.1 * 0.1.\nAnswer: 17157.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**4\/7 + 72*f**3\/7 + 324*f**2\/7.\nAnswer: 4*f**2*(f + 9)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 327700 and 3364?\nAnswer: 9503300","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.35025 nanometers to centimeters.\nAnswer: 0.000000235025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*u**2 - 16 + 16 + 6*u**5 wrt u?\nAnswer: 360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**4\/4 - 10*l**3\/3 + 2*l + 3. Let i be r(-10). Suppose -p + i + 12 = 0. Calculate the remainder when 24 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 a when four letters picked without replacement from {x: 3, w: 6, m: 1, a: 4}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**3\/6 - s - 846. Let y(t) = 1450*t. Give y(b(x)).\nAnswer: 1450*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 1720?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -741*q**3 - 657*q**3 + 1262*q**3.\nAnswer: -136*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 68869832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1023.1846 - -306.9605.\nAnswer: -716.2241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.118 + -0.177. Let s = -0.459 - x. Let h = -3 - 1. Which is the third smallest value? (a) s (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54*8\/(-96)*(-6)\/9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 - 124*v - 232.\nAnswer: -4*(v + 2)*(v + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5 = p - 35, -4*p = 5*v - 120. Suppose -y + p = y. Suppose 0 = 3*o - 5*o - 5*t + y, -o - 3*t + 9 = 0. Solve 3*j = -o*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*((b*b**(1\/4)*b)\/b)\/b)**(23\/3)\/(b*b*b**(-3\/2)\/b*b)**(-32) assuming b is positive.\nAnswer: b**(307\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 6) in base 8?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 4715304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -54.34282126 to 2 dps.\nAnswer: -54.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 161 - 112. Let q = 170 - 166. Let i be 13\/44 - (q + (-85)\/20). Which is the third smallest value? (a) i (b) 0.5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24719 is divided by 94.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1300\/4337 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -735 - -789. What is the lowest common multiple of 252 and s?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -284*h - 276. Does 19 divide o(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4970 and 48753215.\nAnswer: 2485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-8)*1*3\/36\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4374241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -9*o + 979. Let v(l) = -5*l**3 + l**2 + 2*l - 1. What is the remainder when o is divided by v(-2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -6. Suppose 0 = -12*n + 674 - 230. Suppose -4*u + n = 5*h, 0 = s*u + 3*h - 4*h - 1. Solve 0 = -l - u*l - 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11)\/44 - 6\/(-8). Let k = -91 - -91.1. Which is the smallest value? (a) h (b) k (c) -3\/5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + f**2 - f. Let m(b) = 61*b**3 - 5*b**2 - 2*b - 1. Let l(c) = m(c) + r(c). Let n be l(-2). Let g = 3427\/7 + n. Which is bigger: g or -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009654615 to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1543, 88, -3855, -11528, -24173, -43032?\nAnswer: -69347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-18 + 15) - (1 + -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41876989 a multiple of 771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -2*n - 4*i, 512 = 6*n + 2*i + 556 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 + 33136*z\/5 + 3907464\/5.\nAnswer: -2*(z + 114)*(5*z - 17138)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**5 + 432*k**4 + 14854*k**3 + 81288*k**2 - 1195776*k + 2419200 = 0. What is k?\nAnswer: -175, -24, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/15 + 1)*(-18)\/20?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280a (base 14) in base 6?\nAnswer: 52414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 9*f. Let v be (6 - 4)*5\/(-2). Let g be q(v). Solve -20 = -c + 4*s, 5*c + 0*s = 4*s + g for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 803442899.90000078 + -803442893. Let l = -35 + 28.1. Let k = c + l. Round k to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45246 = 770*t - 2153*t - 41883 for t.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 10*z**2 + 9*z. Let r be h(9). Let m(w) = w - 60. Let f be m(r). Round f to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 8:13 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, -2, -2\/215, 0.3, -1\/15, -0.027, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000162 to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 + -30. What is the closest to 1\/2 in 1, f, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -13. Suppose -t - r = -37. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 304202?\nAnswer: 304204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9, q: 2}. Give prob of picking 3 k and 1 q.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -12341 divided by -12341?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068967432 a multiple of 4186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 1603252448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 18 = 108. What is the lowest common multiple of 24 + 5\/((-10)\/4) and t?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*d + 86. Suppose 3*g - 64 - 60 = -4*o, 0 = g + o - d. Let s = 56 - g. Solve 20 = 3*j + s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 609963 - (-12 - -17 - -1)\/(6\/(-4)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjmlkkm. What is prob of picking 2 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*v + 3*v - 330. Is ((-1796)\/(-10))\/(v\/(-75)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10075*h - 10152*h - 2079 = 0 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -15. Suppose -2*l + 10 = m*x, -2*l = 3*x - 4*l - 40. Let d(c) = -c + 8. Let z be d(6). Calculate the greatest common divisor of z and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3239.9892 to the nearest 100.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2*i = -x - 3, 0 = 5*x - 2*i - 21. Is x + -8 - -3 - -15 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 44104906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -t**6\/10 - 54*t**5\/25 - 351*t**4\/20 - 324*t**3\/5 - 486*t**2\/5 - 213. Factor r(o).\nAnswer: -3*o*(o + 3)**2*(o + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + -29)\/((-3)\/6). Suppose r*v - 48*v = -12. Which is the nearest to v? (a) -5 (b) -0.3 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 4*v**2 - 2*v - 2. Let k = -4 - -6. Let g be r(k). Determine q so that 1 + 0 - 6*q**g - 2*q**3 + 7 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 508\/(-3)*9*(-10059)\/252?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 0. Let i = -22623\/14 + 1616. Which is greater: f or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -359\/2805 + -2\/85. Calculate the common denominator of 19\/9 and b.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*u**2 + 26*u**2 - 19*u**2)*(0 - 2*u + 0) + (0*u**2 + 3*u**2 - 2*u**2)*(5*u - u - 3*u) + (-u**3 - 5*u + 5*u)*(2 - 3 + 2).\nAnswer: 28*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 15*h**2 - 14*h + 6. Let f be q(-14). Suppose -4*p - f = -26. Let y be (1 - 5\/6)\/1. What is the second biggest value in p, -6\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 1. Let z(i) = -i - 3. Let b(r) = -2*y(r) - z(r). Let g be b(-2). Suppose 2*j + 35 = g*j - 4*t, -t = 2*j - 1. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-242)\/8)\/(3\/(-12)). Let h = -27 + 60. Suppose 2*z = -z + h. What is the greatest common divisor of z and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -67893, -67912, -67953, -68022, -68125, -68268, -68457, -68698?\n\"Answer: -s**3 - 5*s**2 + 3*s - 67890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - -17 - (-2 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 17*o**3\/2 - 9457*o**2\/8 - 49393*o\/8 + 29391\/4 = 0.\nAnswer: -6, 1, 9797\/68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2\/5, 2\/327 in decreasing order.\nAnswer: 2\/327, -0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*y = -0*y + 9, -12 = -o - 4*y. Suppose -10*q + 40 = -o*q. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4918*v**6 - 2*v**5 + 2*v**3 + 77190*v**2 wrt v.\nAnswer: 590160*v**3 - 120*v**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**8\/560 - i**6\/120 + 2*i**3\/3 + i. Let m(f) be the second derivative of x(f). Factor m(u).\nAnswer: 3*u**2*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-16 - -4 - 5) + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 11*z**2 - z. Suppose 5*b - 14 = -4. Suppose 0 = a + s - 3, -4 = -3*s + b*s. Calculate v(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 4)\/((-128)\/160) + 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 5, -16 in descending order.\nAnswer: 5, 3, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1731317.\nAnswer: 7, 89, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 0.1 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/72 + 8 + (-2135)\/126?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 - -1. Suppose 5*y + l + 22 = 0, 3*y + 10 = 5*l - 20. Let p = 3.58 - 3.08. Which is the nearest to x? (a) p (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 717*z**3 + 693*z**2.\nAnswer: 4302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 350 divided by 1?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96.5 + -77. Let v = z + -142.5. Is 0 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2201 a factor of 734156756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**4\/3 - 11*a**3\/3 - 5*a**2 + 175*a\/3 + 500\/3 = 0.\nAnswer: -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5115 - 0.0079115487.\nAnswer: -0.5194115487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -5. Let b be (m - -1) + 2 + 1. Let b*d**2 + 1\/2*d**4 + 1\/4*d**3 + 0 + 0*d + 1\/4*d**5 = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1436280? (a) -4 (b) 3\/7 (c) -1\/7 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - 0.77. Let x = h - -0.07. Sort 1, x, -2 in increasing order.\nAnswer: -2, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (76\/5)\/(-2)*(84135\/(-158))\/(-213)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12942569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 906, 1020, 1146, 1290, 1458?\n\"Answer: n**3 + 107*n + 798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 177.3426m in millimeters?\nAnswer: 177342.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 22*b**2 + 22*b + 22. Let t be p(-21). What are the prime factors of (t\/((-4)\/(-4)))\/((-1)\/(-161))?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -55741, -112468, -169193, -225916, -282637, -339356, -396073?\n\"Answer: y**2 - 56730*y + 988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 139670.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/7))**(4\/15)*(a*(a\/a**2)\/a)\/((a\/((a\/((a**1\/a)\/a))\/a))\/a)*(a\/(a*a**0\/a)*a*a**(4\/7))**(-2\/17) assuming a is positive.\nAnswer: a**(-676\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 71. Let n be ((168\/(-49))\/4)\/(6\/t). Solve 3*o - 4*o - 3*i = -14, -n*o + 2*i - 14 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/2)\/((-6)\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -34. Suppose -4*x - 5 = -3*q + 27, n = -2*q - 5*x - 17. Let o(c) = c**2 - 2*c - 3. Let z be o(q). Solve -2 = -z*r + 4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 436*y - 2629606 - 11657506 = 4543728. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 7. Let z = -2653 + 2656. What is the nearest to a in z, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7152 and 40528.\nAnswer: 121584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 12 (b) -0.3 (c) 1.5 (d) -2\/9 (e) 15\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 > 116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 4:48 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 112244\/61 - 1840. Let u = -69157 + 12655865\/183. Let y = z - u. Is 0 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 2\/7 (b) 2 (c) 4\/5 (d) -0.245 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1355076 and 6323688?\nAnswer: 18971064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3 + 24*l**2 + 84*l + 80 = 0 for l.\nAnswer: -20, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2633*d + 2633*d + 54*d**2 - 83 wrt d.\nAnswer: 108*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2820 is divided by 101?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 10*m - 21. Let l be n(4). Suppose -1 - 4 = -g. Solve -r - 11 = -l*h, g*r + 2*h + 5 = 18 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13723 + 3 + (-45 - -40) + (1 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 8*y - 9. Let s be p(-1). Sort 3, -1, s in decreasing order.\nAnswer: 3, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-66)\/55)\/((-6)\/30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 8*h**2 - 105*h - 469. Determine b(-5).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 202*k**2 + 23*k - 41. List the prime factors of b(4).\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -44212.\nAnswer: 5\/44212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -104 - -104.4. Which is the nearest to 0.8? (a) 1\/4 (b) i (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -l**4\/4 - 4*l**3\/3 + 11*l**2 - 3*l + 4598. Determine n(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 2*b**2 + 4 + 6 - b**2.\nAnswer: -3*b**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15836508 or -110855547\/7?\nAnswer: -110855547\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 23*m - 45. What is the remainder when k(12) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.2 (b) 4 (c) 2\/3 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 328 divide 71338032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -3, 2, -39 in descending order.\nAnswer: 2, -1, -2, -3, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -6*k + 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*h - 51*h - 20. Let j be (1*h\/(-4)*-6)\/1. Solve 5*r - l = l + 21, j*l + 19 = 5*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-440)\/(-6050))\/((-56)\/20)?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*p = -10*p - 1938. Suppose -p*t + 280 = -29*t. Let z = -19 - -35. Calculate the remainder when z is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -228 and -223 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + l**2 - 7*l**2 - 6*l**2.\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32 + 35 + 33 + 30)*(9*a**2 + 3*a**2 + a**2) to the form q + z*a + v*a**2 and give v.\nAnswer: 858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*o + 198. Let p = 539 + -501. Suppose 0 = p*z - 35*z - 54. What is the greatest common divisor of z and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {e: 14, n: 1, a: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 2. Let p be g(4). Let c(a) = 7*a**2 - a + 4. Let f(x) = -7 - 3*x + 13*x**2 + 6*x**2 + x**2 + 18. Calculate p*f(s) - 17*c(s).\nAnswer: s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 - -5285561.74379.\nAnswer: 5285549.74379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 0*q = -3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11661, 23468, 35589, 48168, 61349, 75276?\nAnswer: 90093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 756100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(5) + 0)*-2.\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(11232\/(-552)) + (-8616)\/(-432) + -20\nAnswer: -1\/156","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o - 4*o - 4*o - o + 10*o.\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3572, -3564, -3544, -3506, -3444, -3352?\n\"Answer: i**3 + i - 3574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 502996 to the power of 1\/2, to the nearest integer?\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2 - p + 3. Let z(x) = -x. Let b(f) = -a(f) + 2*z(f). Let m(u) = 614*u + 614*u + 623*u - 3 - 3 + 4*u**2 - 1853*u. Give 13*b(y) - 6*m(y).\nAnswer: 2*y**2 - y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -11925\nAnswer: -4\/11925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 57 = -5*n - 5*z, -n - 5*z = 30. Let x = 5 - n. Let c(r) = r**3 - 5*r**2 + 9*r - 5. Calculate the remainder when x is divided by c(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 1:47 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68433581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y**2 - 2*y**2 - y**2)*(7*y + 2*y + 4*y)*(y - 5*y + 3*y) to the form k*y**3 + u*y**2 + r*y**4 + v + i*y and give r.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -163, 28, 347, 794, 1369?\nAnswer: 2072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53\/21 + -13\/7. Let p = 3 - 1. Let s be 3 + -3 + (168\/(-18) - -9). Which is the third smallest value? (a) p (b) s (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 4*p**2 - 13*p - 27. Let c be n(-3). Put c, -159, -0.3, 1\/4 in ascending order.\nAnswer: -159, -0.3, 1\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*o + 11, -5*s = -5*o - 4*s - 37. Which is the closest to -0.1? (a) 2\/7 (b) 2\/13 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6*1\/(-8) - 20916\/112. Let k = y - -196. Let i = 4 - 4. Solve 2*d = -i*d - k for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*m + 4*z = -63*m + 13, -4*m = -4*z - 12 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 584 and 1604540?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.7*123.\nAnswer: -1193.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1143133352 and -945.3?\nAnswer: 1143132406.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 10*k - 5. Let b be j(8). Suppose -b - 4 = 5*i, -q + 1 = -3*i. What is the units digit of q\/6*(-3)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 40*d + 3320. Give y(-41).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (378\/(-126))\/((-1)\/(-1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 2*p**2 + 16*p - 507. Let j be t(8). Let u be 4*2\/(4\/1). Suppose -u*a - j*c = -222, -4*a - a = -c - 582. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -31*y. Let m(i) = 651*i. Determine m(x(t)).\nAnswer: -20181*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -64 * -4\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41571 - 41564. Let l(w) = -8*w - 1. Calculate the remainder when l(-4) is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 16 (c) 28 (d) 30\/13 (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -11*b**3 + b**2 + 11*b + 4. Let f be v(-3). Let o = 953 - f. Let x = -341 + o. Is 24 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 483.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 635 + -656. Which is the nearest to -1? (a) -3\/4 (b) -0.1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.034 - 0.03400032. Round z to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 1. Let x(b) = -b - 1. Let w(l) = -3*l**2 - 4*l - 7. Let s(t) = w(t) - 6*x(t). Suppose 111*i = -223*i + 467 - 133. Calculate i*s(r) + m(r).\nAnswer: -3*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1223*q**6 + 4*q**2 - 6*q?\nAnswer: 146760*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 243769554 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 - 39*i - 131. Let a be n(-15). Let x be 30 + (1 - (2 - 1)). Suppose -26 = -f - c, -118 = -5*f + a*c + x. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - 2\/(-4)*-6. Let w(q) be the third derivative of y*q + 0 + 1\/30*q**5 + 0*q**4 + q**2 + 1\/6*q**3. Differentiate w(t) wrt t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 50 = -4*k, a + 574 = -5*k + 539 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1\/7)*v)**14*(v\/v**(4\/7)*v*v)\/v**(-6\/13))**(3\/8) assuming v is positive.\nAnswer: v**(7887\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -48 and -116832 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, -33, -122, -247, -408?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of 0*g**6 + 0 - 1\/210*g**7 + 1\/8*g**4 + 0*g**5 + 29*g**2 + 0*g + 29\/6*g**3. Differentiate s(t) with respect to t.\nAnswer: -4*t**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 160 + 36. Let b(j) = j**2 + 4*j + 6. Let y be 300\/(-24) + (6\/(-4))\/3. Calculate the remainder when b(y) is divided by x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g. Let k(z) be the first derivative of z**2 - 4. Let o(h) = -4*k(h) - 3*x(h). Let s(w) = -19*w. Give s(o(c)).\nAnswer: -19*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5745 - 5724. Let m(l) = -l + 23. Calculate m(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 188*n*p**2*q**3 - 7*n*p*q**2 - 4*n*p*q - 102*p**2*q**2 - 449*p + q**3 wrt p?\nAnswer: 376*n*q**3 - 204*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s**2 + 3*s**2 - s**2)*(-20*s**2 + 0*s + s + 11*s**2 + (-3*s**2 + 0*s**2 + 2*s**2)*(0 - 5 + 4)) to v*s**3 + k*s + y*s**4 + x + f*s**2 and give y.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24046037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -563\/3 (b) 1\/6 (c) 1\/4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16436 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 13020144133 (base 5) to base 14\nAnswer: 214d60a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 6 = -3*q, -3*q + 1 = -5*u + 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 1 - 13 = 0. Suppose -p*q = -r - 11, q = r - 5*r + 24. Suppose -5*o - 36 = -51. Solve o*l + r*s = l - 10, 4*l - 12 = -2*s for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14865325 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 25*l - 6. Let n(w) = -34*w + 3 + 11*w + 10 - 8. Let a(r) = 5*b(r) + 6*n(r). Let p(t) = 2*t**2. Determine a(p(o)).\nAnswer: -26*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -416? (a) -0.16 (b) -3 (c) 1.46 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4768 + -4753. Solve -5*u - 5*x = 5 + r, 0 = 2*u + x + 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - j = -1, 4*i + 7 = 3*j + 3. Let g be 2\/(-7) + (-568)\/(-28). Is (2 + g)*i\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*z + 900 = 106*z. Find v, given that 0 - 12\/23*v**4 - 24\/23*v**2 + 8\/23*v + 26\/23*v**3 + 2\/23*v**z = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*l = -113391, 6*l + 68071 = 3*w + 2*l. What is the ten thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 9907*z + 49307. Determine l(-5).\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*k**2*l**2*y + 3253*k**2 + 779*k*l**2*y**3 - 2*l**2 wrt y.\nAnswer: 7*k**2*l**2 + 2337*k*l**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, a: 1, s: 3, u: 3, q: 1, w: 1}. Give prob of picking 2 o and 1 q.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - -5)\/(16*2). Let j = -693\/160 + p. Find the common denominator of (-6)\/(-4) + 55\/(-50) and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 4*k = -3*d - 1355, 5*d - 2220 = -k. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8158 - 99. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*i + 1902 = 1880, 0 = -4*w + 3*i + 40. Solve -5*d = -10*d - w*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (83\/9 - 5) + (1 - 5). Let v = 23\/18 + c. Factor v*z**4 + 15\/2*z**2 + 3*z + 6*z**3 + 0.\nAnswer: 3*z*(z + 1)**2*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h. Let x(c) = -c + 635720. What is m(x(f))?\nAnswer: -f + 635720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-3 + sqrt(432) + sqrt(432)*1 + sqrt(432) + -2*(-1 + sqrt(432)) - (sqrt(432) - -2*sqrt(432)*1 - (sqrt(432) + 0)*-6)) + 3)**2.\nAnswer: -192*sqrt(3) + 27649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxvhsxhxiivxhsxvxvxv. Give prob of picking 1 v and 1 i.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 9*v - 4. Suppose 2*x + 0*x = 32. Let f = 355 + -308. Calculate the remainder when s(x) is divided by f.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 3 = -15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 37)*(-44)\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d**4*t*v - 30*d**3*t**3*v + 3*d**3*v + 2*d**2*t**3*v + 2*d**2*t + 278*d**2 - 3*d*v + 3*t**3 wrt d?\nAnswer: -72*d*t*v - 180*t**3*v + 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*r + 6*r + 15. Suppose -9 = -2*g + r. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hf when two letters picked without replacement from fdhcfcf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2 - (-203)\/(-294). Let v = 89 - 90. Which is greater: v or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200202222 (base 3) to base 7\nAnswer: -54623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**2\/3 - 22*w + 532\/3 = 0. What is w?\nAnswer: 14, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**2 - 1. Let l be x(-1). Suppose -8 = -3*n - 2. Suppose g + j = 19, n*j = -0*g + 3*g - 42. Solve 0 = -4*w - l*o - g, w - 16 = 5*w - 2*o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -55, -2\/7, -3\/88 in descending order.\nAnswer: 5, -3\/88, -2\/7, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 1227*n - 2. Let q be o(2). Suppose 4*v = -780 + q. Does 23 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 818 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: What is 6678412 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 2*k**3 + 2*k)*(2*k - 1 + 1) - 14*k**4 + 116*k**4 + 14*k**3 - 14*k**3.\nAnswer: 98*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 6. Let v be w(-5). Let u = 1947 + -1944. Sort u, -5, 0, v in descending order.\nAnswer: u, 0, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49.51 - 49. Let t = 2.51 - o. What is the second smallest value in t, 0, 2\/11, 0.3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/20 and 41\/1376?\nAnswer: 6880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*a + 93145 - 807254 - 127643 = 0. What is the highest common factor of a and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/5, -4, -0.2, 0.1, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9045434*n**3*v**3 - 2*n**3*v**2 + 3*n**3 + 4*n**2*v**3 - 15363*n**2 - 2*n*v**3 + 26*n - 2*v wrt n.\nAnswer: -54272604*v**3 - 12*v**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27402 + 2*c + 4773*c**2 + 54794 - 27394.\nAnswer: 4773*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, p: 1, i: 1, x: 1, e: 2, d: 2}. What is prob of picking 1 d and 1 x?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qaz. What is prob of sequence aq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 9:57 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/1015467 and -91\/144.\nAnswer: 48742416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -82\/9, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.43934 - -2.53926. Let n = 2278.9 + -2281. Let t = n + k. What is t rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 469431 and 387.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 + 20. Let m = 42 + o. Which is the closest to 1? (a) m (b) -0.5 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23\/6 - -7\/3. Let s = -40 + 40.4. Which is the third biggest value? (a) -0.2 (b) s (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)*2 - sqrt(14)\/(2*sqrt(7)))**2*-1 + ((sqrt(72) + -1)*-6*-2)**2.\nAnswer: -1728*sqrt(2) + 20663\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 9181 = -1691. List the prime factors of z.\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*i - 43. Let p(u) = u**2 + 9*u + 10. Let j be p(i). Is -4 not equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006183471 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -46. Let u = 26 - 37. Let v = l - u. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 8 = -j + 6, 14 = -4*z - j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (44\/(-4))\/(5 - 262\/52). Let w(m) = -16*m**3 - 3*m**2 + 3*m + 3. Let n(a) = -767*a**3 - 143*a**2 + 143*a + 143. Give b*w(h) - 6*n(h).\nAnswer: 26*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 81 = 2*k. List the prime factors of (-1)\/(2 + k\/13).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 130*b**3 + 2*b**2 - b - 1. List the prime factors of y(1).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-1)\/(-2)*(22912\/(-608) + 38).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*w = -w + 7, 2*j = -2*w + 32. Suppose 15 - j = m. Solve 0 = -m*c + 3*v + 3 + 2, -3*c - 2 = 5*v for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + -1 - sqrt(272)) + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20455*x + 589 + 39354*x - 6984*x - 589 + 34379*x)*(2 + 3 - 6).\nAnswer: -87204*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/12 + (-12)\/18?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 82 (b) 1 (c) 0.023 (d) 0 (e) -301 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 6*n**2 - 60*n - 14. Let v be y(32). Calculate the highest common factor of v and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 1\/12*m**4 + m**2 + 2 + 0*m**3 + 0*m. Let k(l) be the second derivative of s(l). Let n(h) = h**2. What is n(k(f))?\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*d - 203*d + 4763 = 83*d for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -23. Let k = j - -22. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1372) + 0 + sqrt(1372)*1*-6 - (0 + (sqrt(1372) - sqrt(1372)*1) + sqrt(1372) + -2*(sqrt(1372) + -1)))**2 + 3.\nAnswer: 168*sqrt(7) + 12355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(95)*-4 - sqrt(95))*3 + 3*sqrt(95)*-2)\/(sqrt(5) + sqrt(180)*6 + sqrt(5) + sqrt(5) - (sqrt(5) + -4*-4*sqrt(5))))**2.\nAnswer: 8379\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -358 + 373. What is the least common multiple of x and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61431227.\nAnswer: 11, 13, 429589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**2 + 14 + 2*v**2 - 27 + 18 + 0*v**2 + 225*v**3 to the form g*v**2 + p*v + y + a*v**3 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/17, 0.4, 0.3, -5, 24?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -2)*(-12)\/(-8). Differentiate 2 - 2*p**4 - 9*p**4 - 6 - j with respect to p.\nAnswer: -44*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*-3*sqrt(190) + sqrt(190))\/(4*1*sqrt(10)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**5)*z)\/(z**(1\/15)*z)*z**(-11)\/(z*z**(-2\/13)) assuming z is positive.\nAnswer: z**(-1348\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1135 and 93?\nAnswer: 105555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 12 = 5*y, 7*i - y = 3*i + 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/1299305 or -0.1?\nAnswer: 3\/1299305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-432)\/45*60\/9. Let o = -62 - s. Put o, -31, -1 in decreasing order.\nAnswer: o, -1, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nkkknknkkk. What is prob of picking 2 n?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/1170 and 35\/702.\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -dc336 + -7?\nAnswer: -dc33d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -337187*c*t**2 - 2*c*t - 4226*c - 2*t wrt t?\nAnswer: -674374*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -139 - -123. Let l = 45 + -25. Let w = l + j. Which is the second biggest value? (a) 3 (b) w (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-9)\/(-30)*2655\/432 and 15\/8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/2 + 31*g**2\/2 - 43*g + 28.\nAnswer: -(g - 28)*(g - 2)*(g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 23*s + 41. Let t be (-156)\/(-48) + (-3)\/(-4). List the prime factors of d(t).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -5*k**4\/2 + 1615*k**3\/2 + 266325*k**2\/2 + 12335625*k\/2 + 91732500 = 0.\nAnswer: -45, -40, 453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -44? (a) -4 (b) 497 (c) 16 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 173 and 273167.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25881589, 25881589, 25881585, 25881577, 25881565?\nAnswer: 25881549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) + -3*(1*sqrt(72) - sqrt(72)))\/sqrt(12))\/(sqrt(36)\/(sqrt(12)*-1)*-4))**2*-3.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31835 is divided by 7920.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*r + 40*r = -228. Solve 2\/3*x**2 + 0 + 2\/3*x - 2\/3*x**r - 2\/3*x**3 = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 426302616 to the power of 1\/2, to the nearest integer?\nAnswer: 20647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + k = 140, 2*k - k - 59 = 2*b. Let z = b + 48. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -92*a + 17. What are the prime factors of x(-14)?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2460 - -11?\nAnswer: 2501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((1 + sqrt(468)*-1 - -1*sqrt(468)*-2)*1)**2.\nAnswer: -8426 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + g - 7 = 0. Let v(s) = s**2 - 6*s - 10. Let c be v(g). Let j be 0 + 2 - 1 - c. Solve -12 = j*r - 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-7) - 9\/21. Suppose -a + 5*l = 4*l - 14, 3*a - 5*l - 36 = g. Solve -a = 4*x - 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 135*j + 80. Let m(r) = -5*r - 3. Let s(i) = -2*c(i) - 55*m(i). Let g(t) = t + 1. Give 9*g(y) - 2*s(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o - 1. Let r(a) = a**2 - a + 1. Let z(b) = m(b) + r(b). Let q(p) = p - 8. Calculate z(q(l)).\nAnswer: l**2 - 16*l + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -92. Calculate the remainder when q is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6033 is divided by 431.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2986.973 micrometers?\nAnswer: 0.2986973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b - 5 = -2*r - 0*b - 5*b, -3*r + 4*b = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 655*p**2 - 598*p. Let i(y) = 133*y**2. What is k(i(j))?\nAnswer: 11586295*j**4 - 79534*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -13*u - 36. Give r(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -3\/5, 1\/8, 2, 3, -36\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 5. Let n be 3*(-1)\/(-3)*-3. Let r be x(n). Let q be 70\/105*6*9\/2. What is the greatest common divisor of r and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 14 + 26 = 0. Solve -2*x - 2 = -4*m, -l*m - 2*x + 4*x = 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9486 is divided by 4738.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3048 is divided by 1523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2238, 2237, 2234, 2229, 2222?\nAnswer: 2213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17760*d + 289 + 268 - 829 + 270.\nAnswer: -17760*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63 - -4. Suppose t + o = 2*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -328.55 - -328.71017. Round t to 3 decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2178817601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 60 = p. Suppose 0 = 3*o - p + 6. Sort o, -1, -2 in ascending order.\nAnswer: -2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xoo when three letters picked without replacement from oxo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 - -58. Let c = 12 + -9. Suppose -5*r + 5*s = 5, c*r - 4*s + i = -4. Solve -1 = a, -y - a + r*a - 2 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -89*j**4 + 524*j - 1319. What is the first derivative of l(n) wrt n?\nAnswer: -1068*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/7 + 1995*s - 13986.\nAnswer: 3*(s - 7)*(s + 4662)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -308.0002024 - -308. Round o to 5 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/3)*t**(-6) assuming t is positive.\nAnswer: t**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 30 = 2*d, -5*i = -0*d - d + 21. Let h(p) = p**3 - 2*p**2 + 4*p - 2. Calculate the remainder when h(3) is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7\/30 - 751\/90. Calculate the common denominator of 12\/7 and p.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of g**6\/1980 - g**5\/110 + 3*g**4\/44 - 16*g**3\/3 - 18. Let n(p) be the third derivative of m(p). Factor n(f).\nAnswer: 2*(f - 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6885 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1709177 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -r + 5*j, 0 = 2*j - 6 - 0. Suppose 23 = d - 2*z, -r*z - 43 = -4*d + 49. What is the second smallest value in -5, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2655*t**2 - 4508*t**2 - 1982*t**2 - 1031*t**4 + 2128*t**2 - t**3 - 1551*t**2 wrt t?\nAnswer: -24744*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4\/4 - 132657*b**3 - 795933*b**2\/2 - 397965*b - 530619\/4.\nAnswer: -3*(b + 1)**3*(b + 176873)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -30. What is the remainder when 34 is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1))**(-46))**31*(p**0)**(-1\/46)\/(p**(-1\/3)*p)**(-5\/3) assuming p is positive.\nAnswer: p**(12844\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 890*r - 14786 - 15616 = 43456 + 1792 for r.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**3 - 28*g**2 + 12*g - 58. What is the lowest common multiple of 22 and m(-15)?\nAnswer: 2332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 2916*p**5\/5 + 8746*p**4 + 46624*p**3 + 93120*p**2 - 512*p - 6963. Let w(j) = 0. Calculate j.\nAnswer: -4, 2\/729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -37, 1 in increasing order.\nAnswer: -37, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-29)\/261*-1*27.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 311*l - 53517. What is r(172)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000040758355 to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -96.\nAnswer: -96.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -81876618*l**5 + 4049139*l - 6.\nAnswer: -1637532360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -12*1\/(-105)*25?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*p = 16 - 1, 0 = -t - 3*p. Factor 0*o - 2*o**3 - o + t*o.\nAnswer: -2*o*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0417272 to four dps.\nAnswer: 0.0417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 395912755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/35)\/(16\/56)*100\/(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.72 - -0.22. Which is the smallest value? (a) v (b) 2\/13 (c) -1\/4 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.039, -1\/6, -382090?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36846 by -2047.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1121 = -j - 5*q, 0 = 3*j - 2*q + q - 3283. Let a be j\/(-40) - 4\/(-10). Let w = 8 - a. What is the greatest common divisor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 14. Let w = -2 + -2. What is the biggest value in 4, w, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 4:41 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(228) + (sqrt(228) - (sqrt(228) + sqrt(228)*1 + sqrt(228)))))\/(sqrt(12)*2*-2).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4975*t**2 + 142*t - 274*t + 132*t + 4973*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 + -1 - 12 - (0 + -6) - (1 + -1).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21294 and 397184814.\nAnswer: 3042","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/5)*f)**(7\/2)\/(f**(3\/4))**(1\/48) assuming f is positive.\nAnswer: f**(1787\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134 (base 8) to base 6.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -2, 6, -2\/1941, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -456615.\nAnswer: 2\/91323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k + k + 2 - 4 + (1 + 1 + 0)*(3*k - 5*k + 4*k) + 0*k - 2*k + 4*k.\nAnswer: 10*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 5264087.\nAnswer: 36848609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 27302.8 weeks?\nAnswer: 16512733440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(1\/9)*r))\/r)\/(r*((r**(2\/11)\/r)\/r)\/r)*(r*r\/(r**1*r))\/((r**(2\/27)*r)\/r) assuming r is positive.\nAnswer: r**(188\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 178984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/32 of a kilometer?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348428 is divided by 4099?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 6:04 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/60)\/((-3)\/372*1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90567616493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1970632003123 + 1.\nAnswer: 1970632003124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -220 - -222. Solve y - n*a = 5, 0*y + a = -3*y - 13 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + v + 3 = 2, 2*w + 5*v = 23. What is the second smallest value in 11, w, -2\/11, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 812922930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26582?\nAnswer: 2, 13291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100011100111011111111 (base 2) to base 9.\nAnswer: -6124640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11536 by -2.\nAnswer: 5768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 8:36 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 14) in base 12?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 2044.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167726117?\nAnswer: 13, 1579, 8171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124\/6 + 2\/6?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0518 times -0.5?\nAnswer: 0.0259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -58923.\nAnswer: -5\/58923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137426707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 14935 divided by 48\nAnswer: 14935\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a milligram in micrograms?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 828?\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*m + 4026 + 17373. Suppose -9*r = -4372 - m. What are the prime factors of r?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 922683 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 314751\/(-30360) - (-2)\/(-5). Let f = r + 36\/253. Find the common denominator of 121\/12 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 20 = -3*z. Solve 0 = 3*v - z*v - 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2977585 and 31369?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-80)\/14 - (-4)\/(-14). Let j(w) = 15 - 9 - 5. Let t(i) be the second derivative of -i**4\/12 - 5*i**2\/2 - 9*i. Calculate v*j(l) - t(l).\nAnswer: l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 11:17 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 556, 4444, 14928, 35284, 68788?\nAnswer: 118716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -35328 divided by -1472?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 9*h + 6*h - 530, 3*l + 5*h = 814. List the prime factors of l.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -360, -5, 2.\nAnswer: -360, -5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-990)\/(-24) - 16)*(2 - -30234) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.16 - -1.16. What is the nearest to t in 3\/4, -0.5, -1\/6, 1\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1031562 and 147742602.\nAnswer: 1329683418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, j: 2, m: 5, i: 1}. What is prob of picking 1 b and 1 j?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277 = 9*a + 34*a - 325 + 220 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 2*j = -2 + 14, 2*j = -5*q + 13 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 96308562 a multiple of 903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -36a6050 - 3?\nAnswer: -36a6053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + b**2 - 2*b**3)*(-b + 0*b + 5*b) - 31*b**3 + 10*b**4 + 31*b**3 + 1 - 1 + b**4.\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*3\/3*-3. Let h(z) = 0 - 14*z - z**2 + 0*z**2 + 6 - v. Is h(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001011 + 100110010111000?\nAnswer: 100101111101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*v + 18975, 2*o - 1618 - 5984 = 4*v. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -129 or -127?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18351 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1124444 = g + 1124426 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 20*y**2 + 16*y + 4. Let a(f) = 4*f**2 + 3*f + 1. Suppose -40 - 24 = 4*l. Let k(u) = l*a(u) + 3*g(u). Differentiate k(h) wrt h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 118 and -22302?\nAnswer: -2631636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = -2*m - 72*c, -m - c - 411 + 385 = 0 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 102\/13, 573\/2, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**2\/2 + 10*a - 1. Calculate the smallest common multiple of 6\/4 + 18\/4 and j(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-2)*0 - -2. Find the second derivative of 0*x**2 - 2*x**c + 2*x + 2*x - x wrt x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -54, -164, -330, -552, -830?\n\"Answer: -28*x**2 - 26*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, z: 5, v: 4, m: 7}. Give prob of picking 1 v, 1 z, and 1 m.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5700 - 2416. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, 405, -5 in increasing order.\nAnswer: -49, -5, 405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000031677883 rounded to seven decimal places?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3061 - -3065.622. Let l = g + -0.022. What is l rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003817451 rounded to 5 dps?\nAnswer: -0.00382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11019523.2 rounded to the nearest 1000?\nAnswer: 11020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23857*o**3*w + 55*o**2*w - 7*o**2 - 2*o wrt o.\nAnswer: -143142*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11693365 times 7?\nAnswer: -0.81853555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 435 and -6.38.\nAnswer: -2775.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-33)\/(-55)*(-1 - -6). Solve 5*x - 2 - 5 = -p*v, -4*v - 2*x = -14 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + 1*sqrt(156) + sqrt(156) + sqrt(156))\/sqrt(12)*-4.\nAnswer: -16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 123*m**4 - 95*m**3 - 73*m**3 - 23*m + 41*m**4 + 169*m**3 in the form q*m**4 + v + i*m + b*m**3 + c*m**2 and give q.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172503*p**2 + 100915*p**2 + 412261*p**2.\nAnswer: 685679*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2*sqrt(847)*-4 + sqrt(847) + sqrt(847) + (sqrt(847)*2 - sqrt(847))*-3)**2.\nAnswer: -792*sqrt(7) + 68623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 11*r = 52, -3*h - 572*r + 573*r - 2 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9713978 + 4856979 + 4856982 + 8*w**2 - 7*w**2.\nAnswer: w**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 6, 24*k - 20*k - 96 = -4*v. Solve -h = -3*y + h + k, -5*h = -4*y + 35 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -y**4 + 111*y**3 - 3*y**2 - 40664 with respect to y.\nAnswer: -4*y**3 + 333*y**2 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/5*((-250)\/315)\/10?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -3) + -1 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 3 - s - s to w*s + y and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 65 - 26 - 23*l**3 - 19.\nAnswer: -23*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 6*v**2 + 6*v - 4. Let h be b(6). Suppose -94 = 31*a - h*a. Let s = -46 + a. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.13 take away 5016510585?\nAnswer: -5016510586.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 689676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65 + -107. Let f be (18\/r)\/((-3)\/(-2)). What is the second biggest value in f, 1\/6, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001101100 - -11?\nAnswer: 1001101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-16\/5)*c)\/c)\/c**30 assuming c is positive.\nAnswer: c**(-161\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, x: 1, r: 2, f: 1, b: 2, w: 1}. What is prob of picking 2 r and 1 f?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2 + (199 + 136 - 79)*(16 + 0 - 2))*(2*s**2 + 2*s**4 - 2*s**2) to the form y*s + r*s**2 + w + q*s**4 + p*s**3 and give q.\nAnswer: 7172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1045 and 0.1.\nAnswer: 1045.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100100010 + -1011?\nAnswer: -1100101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2.1 * -567.2\nAnswer: 1191.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*u + 7, y = -2*y - 2*u + 14. Let v(m) = m. Let c be v(y). Solve -g = -5*i - 7, 2*i - 13 = -c*g + 7*i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 167, -703, -2095, -3961, -6253, -8923, -11923, -15205?\n\"Answer: 8*y**3 - 309*y**2 + y + 467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50.942 - 51. Let k = 5.058 + v. Let u = -0.2 + -2.8. Put u, k, 1 in descending order.\nAnswer: k, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12177085, -24354026, -36530967, -48707908, -60884849, -73061790?\nAnswer: -85238731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 141 + -111. Suppose 12*d = 16*d - 12. Suppose 2*i = u - 1 - d, 2*u + i = 18. Calculate the least common multiple of u and o.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -1\/2, -3, 4 in decreasing order.\nAnswer: 4, 2\/7, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-385)*7)\/(81\/(-2430)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.4 - -5. Let n = -3632 - -14533\/4. Let q = 3.389 - 0.389. Which is the third biggest value? (a) h (b) -3 (c) n (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -10 + 10*t**2 - 17*t + 3*t - t**3 + 3. Is n(8) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*m + 31*m - 31*m**2 - 5*m**2 + m**2 + 2*m**2 + (1 + 3 - 2)*(-2*m**2 + m - m) + 0*m**2 + 2*m**2 - m**2 + 8*m**2 - 4*m**2 + 5*m**2.\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -743\/164 - -196\/41. What is the second smallest value in 5, 425, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - b - 2)*(1 - 1 - 1 - 2*b)*(-3*b - 2 + 2) as m*b**2 + a*b**3 + s*b + k and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 656801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, -5, 0.9, 0.022, 3\/8, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*x - 6*x. Let s = 0.03 + 4.97. Which is the nearest to -0.2? (a) s (b) x (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1070 + -1526. Let g = q - -1032. Is 48 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 20, 303, 6 in descending order.\nAnswer: 303, 47, 20, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 549 and 45994.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 9*g + 3. Let y be o(9). Let t(f) = -f**2 - 5*f. Let c be t(-4). Suppose -c*v = -y*v - 6. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2736) + sqrt(2736)*2)*-1 + -2*(sqrt(19) - sqrt(152)\/sqrt(8)) + (sqrt(19) - (5 + 3 + sqrt(19))).\nAnswer: -36*sqrt(19) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2909 + 1433 + 1417)*((0*s**2 + 0*s**2 - s**2)*(-3*s + 2*s + 0*s) - s**3 - s**3 + 4*s**3) as t + i*s**3 + v*s + j*s**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -g - 2, -4*o - 28*g + 32*g + 32 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -113?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 0*h**2 - 13*h - 1\/6*h**3 + 0. Let x(n) be the first derivative of -n**2 + 4. What is x(o(j))?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30997648699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 354, -2715, -5784, -8853, -11922?\nAnswer: -14991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4 + 246*u**3 - 258*u**2 - 1246*u - 744.\nAnswer: 2*(u - 3)*(u + 1)**2*(u + 124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1420.66 to the nearest ten.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 12, r: 3}. Give prob of sequence ee.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -3)*(-1)\/(-2). Suppose -3*a = -f*a. Suppose 5*q + a = 15. Solve -5*l = -q*j, 0 = -4*l + l - 4*j for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from orooroc. What is prob of picking 1 o and 3 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/162)\/(2\/9*-3)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 268717651 to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 + -23. Let l(j) = j**3 - 12*j**2 + 12*j - 6. What is the tens digit of l(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -10010100?\nAnswer: -10010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 9:34 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven fifths of a centimeter?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 1)*(-1 + 2)*-1. What is the common denominator of (9\/12*t)\/((-108)\/(-102)) and -61\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 245 + -236. Let n = 12 - -3. What is the lowest common multiple of n and s?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*d**2 - 4843 - 354*d**2 + 4843 + 91*d**2 + 84*d**2 + 89*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5248628*o*s**3 + 6*s**3 + s**2 + 17212*s - 7 wrt o?\nAnswer: -5248628*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28815212*j**3 - 35230297*j wrt j.\nAnswer: 172891272*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 7*x**2 + 12*x - 12. Let p be i(8). Suppose -5*s + 7*s = p. What is the greatest common divisor of s and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/16)\/b)**18 assuming b is positive.\nAnswer: b**(-153\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14, 8, 40, 88, 158, 256, 388?\n\"Answer: n**3 - n**2 + 18*n - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 23030 = 5*u, -w + 27*u = 32*u + 4600. Round w to the nearest 100.\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -21006*h**3 - 2*h**2 + 75*h + 76. What is the hundreds digit of f(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -61960\nAnswer: 3\/61960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8193 and 30237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(76) + 0).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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 i(f) = 9*f**2 + 7*f + 1. Calculate the remainder when i(4) is divided by 55.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 k when two letters picked without replacement from vkkvvkkkvvkvvkvv?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -344.900001759 + 344.9. Round m to 7 decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q - 671. Let x(l) = 5601*l - 1. Give x(b(w)).\nAnswer: -5601*w - 3758272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.95 + -0.05. Let g = v - -2.02. Let o = -275 + 276. Which is greater: o or g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -34\/508605?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233185 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 6*v**2 - 2. Let h(q) be the third derivative of -q**6\/720 + 55*q**4\/24 - 2*q**2 - 5. Let i(s) be the second derivative of h(s). Determine i(c(r)).\nAnswer: -6*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)*-2 + sqrt(396) + sqrt(396))*-1)**2 + (sqrt(44) + sqrt(176))**2 + sqrt(11) + 4.\nAnswer: sqrt(11) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 (base 15) in base 8?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -15*r**3 - 194*r**2 - 1529*r - 2304. Let o(m) = -8*m**3 - 96*m**2 - 764*m - 1152. Let g(f) = -4*h(f) + 7*o(f). Factor g(x).\nAnswer: 4*(x + 2)*(x + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 146114 - -43530?\nAnswer: 222644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -7*o + 8. Let f(n) = n - 1. Let s(v) = -4*f(v) - 2*j(v). Is 11 a factor of s(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 4 (b) 3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 23 = -26. Let d(z) = -z**2 - 6*z + 8. Let y be 56\/(-32) + (-2)\/8. Let h(s) = -2*s**2 - 5*s + 9. Let p(w) = y*h(w) + 3*d(w). Calculate p(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o - 2*o - o. Let q(z) = -z - 1. Let l be q(-6). Let b(n) = -l - 3*n + 5. Calculate u(b(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2392400 rounded to the nearest ten thousand?\nAnswer: 2390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4449\/10715 or 1?\nAnswer: 4449\/10715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -5*o**5 - 4849550*o**4 - 1567853048280*o**3 - 168951843848969120*o**2 + 2365633126390387840*o = 0.\nAnswer: -323308, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31999\/99 - -4*(-1)\/18 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 8551*c + 8552*c - 1 + 13.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 7 + (-10 - (3 + -12))*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d. Let f(n) = -15 + 36 - 7 - 10 - 10 + 9*n. What is f(g(k))?\nAnswer: -27*k - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 0*d - 82 - 86 + 7*d + 170. Let h be (5\/(-4))\/((-3)\/12). Let o(u) = 8*u + 2. Determine h*o(i) - 6*k(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + (-9 + (-10 - (-9 + -4)) - -10).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71*m**3 + 111*m**3 + 155*m**3)*(2 - 1 - 4).\nAnswer: -585*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 8 - 7 = -4*w, -4*w - 5*j - 3 = 0. Calculate the remainder when 11 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 31*v**2 + 104*v + 49. Calculate r(-34).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*b - 38, -4*c + b + 6 = 175. Let j be 4\/22 + c\/(-11). Solve 8*a = j*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 512 = -2*l. Suppose 0 = -34*q + 36*q - 56. Suppose -q = 4*r - l. Solve -o = -6*o + r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 305, 334, 413, 566, 817?\nAnswer: 1190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/64 - -1*5. Suppose 144 - 44 = a*c. Solve -5*b + c = -b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1556 and -0.4.\nAnswer: -622.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tc when two letters picked without replacement from tpotc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(28) - (sqrt(7) + (sqrt(7) - (sqrt(7) + 5 + sqrt(7)*2 + sqrt(7)))))*5)**2.\nAnswer: 1000*sqrt(7) + 3425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -79 + 41 + 36 + 3*g wrt g?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 116997*i - 701474 with respect to i.\nAnswer: 116997","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -2*g**5\/35 - 5*g**4\/14 + 16*g**3\/21 + 12*g**2\/7 - 326. Factor y(v).\nAnswer: -2*v*(v - 2)*(v + 1)*(v + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2443444642 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 i, and 2 e when four letters picked without replacement from {z: 1, i: 1, x: 1, e: 6}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 385\/(-11)*(-6)\/20*(-152)\/114?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84219 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -8*i. Let f be c(0). Solve f = -4*w + 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202322210 - -2230?\nAnswer: -202313320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/8073 and -5\/3471?\nAnswer: 718497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 6*z - 7. Suppose 25*r - 6*r - 741 = 0. Suppose r = 8*d - 1. What is h(d)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 13571\/2235 - -29\/149. Calculate the common denominator of 13\/3 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m**2 + m**2 - 2*m**2)*(-2*m + 5*m - 16*m) + (3*m + 0*m - 2*m)*(-4 - 2*m**2 + 4) to h*m + p + f*m**3 + j*m**2 and give f.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 92 - 365\/4. What is the second smallest value in u, 0.3, 1\/2, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(3) + -3 - (sqrt(27) + -3)) + (sqrt(3) + sqrt(6)\/(sqrt(4)\/sqrt(2)) + 1)*-2)**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 162 = 3*o, -3*u - 5*o - 205 = -8*u. Suppose -4*f = -149 - u. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2428*f**4 - f**3 + 17*f**2 + 7*f - 7718480.\nAnswer: -9712*f**3 - 3*f**2 + 34*f + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1191950 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 71*h - 78*h + 28. Suppose 3*p = 5*l + 34, 0 = -3*p - 0*p - l + 4. Which is greater: h or p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = g - n, n + 16 - 54 = -g. Suppose -5*p - g = -5*t, 3*t + 2*p = 3*p + 15. Solve -t*a = -2*a - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 4770?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*l + 12*l + 17*l - l**2 - 2*l**4 - 2*l**3 in the form s*l + n + y*l**4 + t*l**3 + h*l**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (60\/36)\/((-50)\/(-6))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = 5*c - d + 10, 5*c - 5*d = 40. Let y be c\/26*88\/(-33). Is y bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**8*i\/((i**5*i*i)\/i)*(i**(2\/9))**(-19)*((i\/(i\/i**(-4)*i)*i)**(2\/7))**(-43) assuming i is positive.\nAnswer: i**(3082\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 200\/(-64) + -1 + 4. Sort i, -0.1, 1\/3.\nAnswer: i, -0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2173596 to the power of 1\/2, to the nearest integer?\nAnswer: 1474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5050 - 274825*k**2 + 274825*k**2 + 0*k**3 + k**3 + k**3 to i*k**2 + n*k**3 + c*k + b and give b.\nAnswer: -5050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*s = -12*s + 1336 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 265764015397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**8\/672 - o**7\/70 + 13*o**6\/240 - o**5\/10 + o**4\/12 - 42*o**2. Find u, given that l(u) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x + 8. Let y be -7*(4 - 104\/28). Let j be 6*(y\/6 + -1). Calculate v(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oozzzooo. What is prob of picking 2 z and 2 o?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3220\/663637?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) 1 (b) 2\/33 (c) 1\/6 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (258\/(-52) - -5)\/(15\/3150)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1017947.\nAnswer: 7, 31, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -50727541?\nAnswer: -50727537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) 6710 (b) -3 (c) 2 (d) 3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 863023 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554117360 a multiple of 1587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 942486*-3\nAnswer: -2827458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9073066 grams to tonnes.\nAnswer: 0.0000009073066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/28*-1*4*(-22)\/4.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 1, -59, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c**2 + 26*c + 31. Let b(k) = k**2 + 5*k + 6. Let u(i) = -11*b(i) + 2*r(i). Determine u(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**2 + x + 1. Let w be l(-1). Let g(n) = 7*n + w - 4. Let s(d) = d + 56. Let r(h) = -h - 32. Let z(b) = 7*r(b) + 4*s(b). Give z(g(i)).\nAnswer: -21*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, f: 1, k: 2, q: 1, m: 2, p: 1}. What is prob of picking 2 k?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(8\/((-40)\/5))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a week in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/30 - (-64)\/6. Let m = -2 + y. Find the second derivative of 2*f + f - 10*f**4 - 2*f - m*f wrt f.\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 5:20 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14854 + -14855. Which is the fourth biggest value? (a) -0.9 (b) -1\/100 (c) n (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v**2 + 6*v + 8. Let o(r) be the second derivative of r**4\/3 + 5*r**3\/6 + 7*r**2\/2 + 3*r. Let u be -1 - (1 + 1) - 2. What is u*c(s) + 6*o(s)?\nAnswer: -s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - r + 1. Let o(i) be the third derivative of -i**5\/60 - i**4\/24 + i**3\/2 - 6*i**2. Determine -3*b(j) + o(j).\nAnswer: 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19 - 2141?\nAnswer: -2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 h when two letters picked without replacement from jejehjjejjjje?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37423 is divided by 87.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -7. What is the second derivative of 2*z**3 + 3*z - i*z - z - z wrt z?\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1*sqrt(240) + sqrt(240)))\/sqrt(5).\nAnswer: -32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 6495?\nAnswer: 12990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -46760 divided by -88\nAnswer: 5845\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 7:28 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10319.\nAnswer: 17, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*((-1)\/2 - 2). Let i = -10 + r. Differentiate 4 + z - i*z - 2*z wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -24*k**2 + 1878*k - 462. Determine v(78).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 32187978.37 to the nearest ten thousand.\nAnswer: 32190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from ptkupppupppptuu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -111010 (base 3) in base 7?\nAnswer: -1014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10385591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 928?\nAnswer: 92d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 1:28 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2352*f**2 - 1066. Let r(d) = 16472*d**2 - 7460. Let j(q) = -3*r(q) + 20*u(q). Differentiate j(p) with respect to p.\nAnswer: -4752*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -99.6 - 23.1. Let l = -117 - u. Let m = -2.7 + l. What is the smallest value in -4, 5, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m**3 + 68*m + 6. Let f(n) = 9*n**3 - 67*n - 8. What is 2*f(v) + 3*g(v)?\nAnswer: -3*v**3 + 70*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.49944 + -177.53696. Let y = 293 - 115. Let j = g + y. What is j rounded to three dps?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26\/4 + 4\/(-8). Suppose -w*u = -2*u. Suppose -3*l - 18 + 60 = u. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -16165 = -16165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -8. Let f(w) = 2*w + 10. Let u be f(0). Suppose u = i + b. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1933, 27 in decreasing order.\nAnswer: 1933, 27, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 47410?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(104)*-1 + sqrt(104) - (sqrt(104)*1*6 - sqrt(104)))\/((sqrt(96)\/sqrt(4)*2)\/sqrt(3)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 2149860?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 75293, 301017, 677217, 1203893, 1881045, 2708673?\n\"Answer: 75238*d**2 + 10*d + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 14*n**2 + 14*n - 3. Let z be d(13). Suppose -z = -8*b - 2. Let x(y) = -16*y**3 - y**2. Give x(b).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -16 and -4028\/263 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.250019 * 0.3.\nAnswer: 0.3750057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/7 + 2*o**2.\nAnswer: -2*o**2*(o - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -v + 18. Does 4 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t**(-2\/5)\/t*t)\/t*t*t)*t)**(5\/2)*t**(3\/7)\/(t**2\/t))\/((t\/(t**(3\/11)\/t))\/t**(-6))**(-2\/125) assuming t is positive.\nAnswer: t**(1063\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-1))\/((-2)\/((-31)\/((-558)\/(-72))))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -7*o + 15. Let n be a(1). Solve -z - 3*z = -n for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + 11. Let n be b(6). Solve l = 2*y + 3, 0 = n*y - 2*l + 3 + 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 3322.72?\nAnswer: -332.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -b**4\/12 + b**3\/9 + b**2\/6 - b\/3 + 3. Solve r(w) = 0 for w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425773?\nAnswer: 47, 9059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v**2. Let r(d) = -2*d - 2. Let c(i) = -i**2 + 3*i + 3. Let k(o) = -2*c(o) - 3*r(o). What is a(k(q))?\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-22) - (-10)\/(-55). Let h = u - -9. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -178*z**2 + 198. Let f(x) = -2*x. Calculate f(p(t)).\nAnswer: 712*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 52650 (base 9) to base 12\nAnswer: 18176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*1)\/((-642)\/3424).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w - 1 - w + 6*w)*(-37 + 37 - 3*w) + (0 - 2*w + 0)*(-3*w + 3 - 3).\nAnswer: 3*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 966831067 to the nearest integer?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -96 + 4?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -189 - -56. Let t = d - -138. What is the remainder when 88 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x = 18*x - 22*x - 104*x - 9890 for x.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*k*k**0)))**(1\/8)\/(k**6\/k**(-1)) assuming k is positive.\nAnswer: k**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -25*l + 1566. Let g be x(6). What is the highest common divisor of 384 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4 + 2 + 5*x - 6. Let i(p) = -5*p + 9. Let l(d) = -7*b(d) - 6*i(d). Calculate the lowest common multiple of 4 and l(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 109\/7 + -8625\/553. Which is the biggest value? (a) 1 (b) -1\/7 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -5. Let j(a) = -3*a + 1. Let y be j(-1). Let x = -58 - -83. Solve 8*s = z*s - x, -y*c + s - 15 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5300 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + -3*(0 + sqrt(1100)) + 0 + sqrt(176))**2.\nAnswer: 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 116771477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1650)\/(-400)*128\/(-24).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 59*h + 1953. List the prime factors of r(96).\nAnswer: 3, 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101, 3, -677 in increasing order.\nAnswer: -677, 3, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 98654922677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 184 + -138. Let p = l - 45.8. Which is the nearest to 1\/7? (a) 3 (b) p (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*r = 7725 + 13227. List the prime factors of r.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 4, -0.34.\nAnswer: -0.34, 0.08, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*r**2 - 15*r**2 + 5*r**2.\nAnswer: -21*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-3)*3\/(-2). Let j(l) be the first derivative of l**4\/4 + 7*l**3\/3 - 3*l**2 + 15*l + 13. What is the tens digit of j(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/(t\/(t*t**(-4\/3)))*t*t)\/t)**10\/(t*t\/t**(6\/11)*t**17))**(-11\/3) assuming t is positive.\nAnswer: t**(59\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 17107 + 1585*t - 17107 in the form o*t + d and give o.\nAnswer: 1585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.02 - -0.02. Let f = 1385\/19 + -73. Let x = -46 - -47. Which is the closest to x? (a) -4 (b) f (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -66, -121, -180, -243, -310, -381?\n\"Answer: -2*d**2 - 49*d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = u - 1, -4*u - l - 50 = u. Let x be 2\/(-15) - 3\/u. Put x, 4, -12\/5 in descending order.\nAnswer: 4, x, -12\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*p = -4*p, 5*v + 5*p = 5. Suppose 0 = 2*y + 5*c + 18 - 58, 5*y - v*c = 71. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275 = -w + 3*c, -8*c + 7*c = -4*w - 1045. Is -259 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67c46 (base 15) in base 16?\nAnswer: 5099d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.034 - 0.134. Let h = -2 - 2. Is h greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -100754849*j - 146970236 with respect to j.\nAnswer: -100754849","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -114?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/10 and -6\/242567435?\nAnswer: 485134870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 89*b + 6. Let h be f(-1). Let p = h - -251. Calculate the greatest common divisor of p and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + s + 2. Let m(x) = 3*x**2 - 6*x - 9. Let k(z) = -2*z**2 + 5*z + 10. Let f(t) = -2*k(t) - 3*m(t). Let p(u) = f(u) - 6*h(u). Give p(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z**5 + 1125*z**4 + 1705*z - 570 - 135*z**2 - 349*z**2 - 864*z**3 - 71*z**2 - 527*z**3 - 324*z**3 = 0.\nAnswer: -114, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*b - 65 + 8, 3*b = -15. Let u = 3 + o. Suppose -168 - u = -3*c. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = n - 4*z, -z + 14 = 3*n - 0*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -45, 5, 1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 8:48 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -18667, 3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5 = d. Let f be 5\/10 - d\/(2\/(-37)). Differentiate 610*b**2 - 610*b**2 - 12*b**3 - f with respect to b.\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 25*s**4 + 3*s**3 + 3*s**2 - 28. Let j(x) = 26*x**4 + 4*x**3 + 4*x**2 - 29. Let z(p) = 3*j(p) - 4*m(p). Differentiate z(d) with respect to d.\nAnswer: -88*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/5 - 297981\/(-45) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/20)\/((10\/(-5))\/(24\/6))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2\/21, 73 in descending order.\nAnswer: 73, -2\/21, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*l + l, 5*l = 2*k + 109. Let b = k - -169. Round b to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6949136675019 take away 1.9?\nAnswer: -6949136675020.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -332*s**3 - 4. Let p(b) = -1329*b**3 - 17. Determine -2*p(o) + 9*t(o).\nAnswer: -330*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5*(sqrt(80)*2 + 2))**2 + 4 + 4.\nAnswer: 1600*sqrt(5) + 16208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 5:02 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, -4, -5.4, 1\/10 in descending order.\nAnswer: 0.7, 1\/10, -4, -5.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -35, -75, -153, -281, -471?\nAnswer: -735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -20*w - 14. Let v(o) = o + 1. Let g(q) = n(q) + 6*v(q). Let y = -18 - -13. Let u(a) = 9*a - 1 + 2 + 4. Determine y*g(s) - 8*u(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -44cd (base 15) to base 4\nAnswer: -3210001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 + 5*j. Let a(s) = 5*s**2 + 11*s. Let g(l) = -4*a(l) + 9*h(l). What is g(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (-3 - -5 - 0). Let h(k) = 2 + 3 + f*k + k. Suppose -3*x = -4*x. Calculate h(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 11, 7\/10, -0.2, 2\/11, 74?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -117*266741\nAnswer: -31208697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*sqrt(80))**2 + (sqrt(80)*-1)**2 + -3.\nAnswer: 18077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344 + 73*t - 92 - 85 - 79 - 89.\nAnswer: 73*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -118585371 + -1.09\nAnswer: -118585372.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.062 - -0.105. Let t = -0.5497403 + 0.506712. Let i = t + k. What is i rounded to 6 decimal places?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3579*j**2 + 7268*j**2 - 3684*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (125895\/(-28))\/(-11) + (21\/(-12) - -2) is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 107 - -120?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 3*r + 258. Let j be (r\/10)\/((-4)\/(-18)). Let d = j + 21. Do -3 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + -1. Let o(m) = -688*m**2 - 2*m. Let b be o(z). Round b to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 13) in base 2?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002260334 rounded to 5 decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006377833754 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31272 + -31269. Let f(j) be the first derivative of 2*j**3\/3 - 3*j**2\/2 + j - 2. Calculate f(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/(-120)*20)\/(10\/(-54)). Factor n*f**2 + f + 7\/2*f**3 + 0.\nAnswer: f*(f + 1)*(7*f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -15*t**2 + 4*t + 5. Calculate g(-2).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 1 = -3. Let o be ((-1)\/9)\/(u\/2). What is the closest to 0.1 in 5, o, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + b**2 + 2*b**3)*(-2 + 4 - 1) + 1155333*b**2 - 9791*b**3 - 1155333*b**2.\nAnswer: -9789*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 d when three letters picked without replacement from {d: 8, t: 7, o: 3}?\nAnswer: 49\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/4)\/((-1)\/(30 - -2)). Calculate the least common multiple of ((-22)\/176)\/(2\/i) and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**4\/17 + 32874*j**3\/17 + 135005250*j**2\/17 - 676045714*j\/17 - 811018092\/17 = 0 for j.\nAnswer: -8221, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 3*u**2 + u - 5. Calculate the least common multiple of 0 + 237\/21 + (-4)\/14 and j(-4).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**24*k*k**(4\/9)*k**(-16)*k**(2\/51) assuming k is positive.\nAnswer: k**(-5740\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -60615.4553 rounded to the nearest 1000?\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24340827.\nAnswer: 3, 7, 1159087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 12 - 27 = 0. Let i be 6\/(-3) - 30\/x. Solve i*n = -n - 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 - -53. Calculate the remainder when s is divided by ((-9)\/9)\/((-1)\/5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 164396?\nAnswer: 164392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 5157 - 269 = 0. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 13 + 3 = 0, 0 = -3*b - 5*j + 1408. Let x = b - 273. Is x a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -38, 84, 294, 598, 1002, 1512, 2134, 2874?\n\"Answer: c**3 + 38*c**2 + c - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 630 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2014.8 and -0.08.\nAnswer: -2014.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 24.8. Let q = 0.2 + 0.6. Let u = q - o. Sort 0.1, u, 3 in decreasing order.\nAnswer: 3, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.9 + -13. Let s = -7 + 7.6. Let d = 0.3 - s. Which is the nearest to -1? (a) t (b) -1\/4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -67939, -135876, -203813, -271750, -339687?\n\"Answer: -67937*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19 + -284?\nAnswer: -2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w - 1. Let y(t) = t**2 - 17*t + 27. Let v(g) = 2*g**2 - 35*g + 71. Let s(u) = 2*v(u) - 5*y(u). Determine -6*i(r) - s(r).\nAnswer: r**2 - 9*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 44 * -1\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 7*x = 20. Let t(z) = -1196 - 40*z + 597 + 601 + 9*z. Is t(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4956.73 - -4956.7099989. Let f = r + 0.02. What is f rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2216.88 at most 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 15, y: 5}. Give prob of picking 3 s.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.3 + -1. Let o = 2.6 - 3. Sort 5, o, z.\nAnswer: o, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-2.351575.\nAnswer: -2.351575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 22 (b) 1\/10 (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -15*2*(2\/(-7) - (-65)\/350). Sort 57, o, -0.3, 1 in increasing order.\nAnswer: -0.3, 1, o, 57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 9*p)*(2*p - 3*p + 2*p + 2)*(2*p - 2*p - p).\nAnswer: 9*p**3 + 18*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1601, -3234, -4911, -6632?\nAnswer: -8397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 2)*(-4*j + 8*j + 8*j)*(-2*j + 6*j - j).\nAnswer: 108*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r - 4. Suppose -4*x - 19 - 9 = 4*j, -2*j = -3*x - 11. Let q be p(j). List the prime factors of (39\/q)\/((-3)\/(-8)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -5*f - 2. Let j be u(2). Let n = j + 16. Suppose 5*m - 3*o = 2*m + 15, 0 = m - n*o + 7. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 124399238 and 332?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33877?\nAnswer: 19, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-10 + 25 - 25).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3788471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 200498700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3287 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (23 + -22 - 4) + 223 and 5620?\nAnswer: 61820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37405 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 8334*k**2 - 7*k + 8. Let z be n(6). Suppose -291365 - 8637 = 2*h + w, -5*w = -2*h - z. What is h rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 757133 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10110 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 47*m**2 + m. Let x be i(1). Suppose 0 = 3*f + 5*c - 144, f + 17*c - 12*c = 48. Is f < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a decade in months?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010 - -1011110?\nAnswer: 100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 426.28 + 4.7?\nAnswer: 430.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*f**2*v**2 - 20*f**2*v + 3*f*v**2 + 28042*v**2 wrt f?\nAnswer: 26*f*v**2 - 40*f*v + 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 53*s**2 + 55*s - 52. Let x be j(54). Suppose -2\/3*a**3 + 2\/3*a**5 + 0*a**4 + 0 + 0*a**x + 0*a = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (98\/60)\/((-195804)\/(-1048950))\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 322 = -2*q, w - 4 = -4*q + 94. Let f = w - 69. Solve 4*h + 35 = -5*c, c - 5*h = 5*c + f for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*d**2 + 12*d**2 - 14 - 14 + 0*d**2 to p*d + y + i*d**2 and give y.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*b - 8, 3 + 14 = 4*b - 5*t. Let i be (1\/(-4)*b)\/(3\/(-420)). What is the greatest common divisor of i and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(275) - (sqrt(11) + (0 + sqrt(11))*-6)**2)*-5.\nAnswer: -150*sqrt(11) + 1375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6.04 and -124904.\nAnswer: -124910.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/(-2) - 4)\/(14 + -16). Let w(x) = 81 + 8*x**2 - x**2 + 8*x**3 - 88. Let k(q) = -q**3 - q**2 + 1. Give h*w(g) + 14*k(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9338.124ng to tonnes.\nAnswer: 0.000000000009338124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/7)*p\/((p*p\/p**(4\/7))\/p*p) assuming p is positive.\nAnswer: p**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7669 (b) -1 (c) 6540\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151148 + 241010 + 353913 = -5917*l for l.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32689 = -3*w - 10849. Does 140 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/14)\/(3\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**2 + 188*l - 371. Calculate a(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - u + 432. Let j be c(0). Suppose 11*y = j + 239. Sort -5, y, -4 in descending order.\nAnswer: y, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 2:19 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.3 + 1.3. Let l = -9.8 - v. Let s = l + 8.2. What is s rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, i: 1}. Give prob of picking 1 v and 1 i.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 8 = -0*k + v, 0 = 2*k + 3*v - 12. Let x = -2 - k. Is x smaller than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = c + 10. Let t(y) = c + y + 8 + 8. Calculate the remainder when t(11) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/9237668 and -95\/176?\nAnswer: 36950672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 367236356 and 6?\nAnswer: 1101709068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 28369.85cm in kilometers?\nAnswer: 0.2836985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/33110 and -19\/860.\nAnswer: 66220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -121 + 1?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.7 and 326652780507?\nAnswer: 326652780507.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 45 = -h. Suppose 964*t - 72002 - 3073 = 155321. What is the remainder when t is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 8*l + 4*l)*(-3 + 3 + 2) + (4 - 4 - l)*(-2 + 2 + 1).\nAnswer: 21*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 12 = -r, 4 = 2*x + 3*r - 0. Suppose -4*d - 93 = -35*d. Suppose -j = 4*g - d, -3*j - 3 - x = 2*g. Calculate the greatest common factor of 16 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(9)\/(2*sqrt(6)\/sqrt(2) + sqrt(3)).\nAnswer: -4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.4? (a) 1\/4 (b) -1\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 143286 + 19?\nAnswer: 1432a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-12) + (12 - 63\/7)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 5*u**3\/3 + 2*u**2 - 6. Let i(m) = -6*m**2 - 5*m. Let p be -1 + 6 - (1 - 0). Determine p*i(f) + 5*s(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24859007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 26 + 17 - 10853*q - 9966*q as u + j*q and give j.\nAnswer: -20819","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -530 + 797.1. Let g = i + -175.4. Let o = -96 + g. Round o to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3114, -12449, -28006, -49785, -77786, -112009, -152454?\n\"Answer: -3111*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 162 - 157. Suppose -9*f = -i*f - 624. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r + 0*r + 3*r + 14 - 2*r. Let y be b(12). Suppose y*w = -w + 48. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(0 - 5 + 2)*(s - 2*s + 3*s)*(-1260 + 1260 + 12*s**4)*(-5 + 5 + 2).\nAnswer: -288*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.8471 - 0?\nAnswer: -87.8471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j + 28120 = 104*j. Is 19 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7348.\nAnswer: 2, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -10 and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 64617\/724*4\/7\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3)\/g**(1\/6))\/((g\/g**(10\/9))\/g*g*g**(-3\/7)) assuming g is positive.\nAnswer: g**(-37\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 0)\/((-9)\/((-63)\/(-56))).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/834993 and 83\/798?\nAnswer: 11689902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57*f**3 - 2*f**2 + 124?\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 117\/(-36) + (-6)\/(-1) + -2. Let k = 0 + -2. Which is the third smallest value? (a) 1 (b) k (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 36*a**3 - 5*a**2 - a + 2. Give i(-1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 7*c - 4*h + 8*h + 10 = 0, 20*c - 362 = -h for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwkcjjwktjbtbkckkbw. What is prob of sequence jt?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 d when two letters picked without replacement from direp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -724*g + 743*g = 209 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 119563228?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2500763679?\nAnswer: 3, 19, 479, 10177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 3. Let s(i) = 4*i + 2. Let b be s(-1). Let x be h(b). Solve -2*w + 3*a + 5 = 0, x*a + 6 = w - 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r - 3*r + r - 2*r + 0*r + 3*r + (0 + 4 - 2)*(0*r - 2*r + 4*r) + 48*r + 7*r - 30*r.\nAnswer: 31*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-5\/6)*p*p**6*p*p*p**(2\/3)*p**(-3\/7)*((p*p**4)\/(p\/p**(1\/8)))\/(p\/(((p*p**0)\/p)\/p)*p**(-4\/3)) assuming p is positive.\nAnswer: p**(1993\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.09 and 506?\nAnswer: 2069.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 10*y**2 + y - 15. Let g be z(-5). Let i = g + -213. What is the remainder when 132 is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 59, 87, 123, 161, 195?\n\"Answer: -n**3 + 10*n**2 + 5*n + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 20 - 17. Let v(o) be the first derivative of 5\/2*o**2 - 2 + 0*o + 0*o**s + 0*o**4 + 3\/5*o**5. What is the second derivative of v(i) wrt i?\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2 - 3*i - 1. Let l be (-102)\/36 - 1\/6. Let z be 2 + 0 + l - 2. Let o be (-2)\/z + (-16)\/6. Let u(n) = -n. Give o*u(v) + s(v).\nAnswer: -2*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 31\/2 (b) -0.4 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 485 = 11*q, 7*q - 3*q + 3*n - 92 + 257 = 0 for q.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -30 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z + 8. Let g be o(4). Put 3, g, -2 in decreasing order.\nAnswer: 3, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n**(-2\/5))\/n)**(1\/63)\/(n**(-2\/7))**(12\/13) assuming n is positive.\nAnswer: n**(373\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8*(-8)\/24?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3642 by -20021.\nAnswer: 3642\/20021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuvxuuvvusi. Give prob of picking 2 v, 1 x, and 1 i.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 1:11 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*(((c*c**(3\/4))\/c)\/c*c*c)\/c)\/c**(1\/3))**(10\/11))**(-6))**(-13\/4) assuming c is positive.\nAnswer: c**(1105\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -8*r - 22 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-3))\/(17750\/(-21300))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -49. Let o = 40 + c. Let v = o - 8. What is the second biggest value in v, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134251700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(-36) + 27\/(-36)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 - 18 - 13)*(-3*v + 3*v + 2*v).\nAnswer: 26*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (342\/27)\/(6\/9). Let j = d - 45. Let f be 6\/(-39) + (-290)\/j. Calculate the highest common factor of 22 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -d**6\/24 + d**5\/6 + 5*d**4\/8 - 2*d**2 - 34. Let q(s) be the second derivative of m(s). Factor q(j).\nAnswer: -5*j*(j - 3)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - -34. Suppose 4*h - h = a. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3 + 2657854*n**2 - 42526048*n + 170104704 = 0. Calculate n.\nAnswer: -1328943, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 4. Suppose 4*a - g = 2*a. Suppose 4*f + 8 = 0, -5*f - 7 = -a*p + 9. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a + 1. Let l be i(-3). Let k(x) = -x - 6. Let d be k(l). Let v(j) be the second derivative of -5*j**3\/6 + j**2 - 30*j + 3. Calculate v(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -67\/574 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3108276 is divided by 259023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-162)\/(-21) - 3 - (-2)\/7. Solve 3*s + 4*t + 3 = 0, -n*t + 8*t = 4*s + 29 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/(-180))\/((-3)\/(-203766)). Let r = 1882 - m. Find the common denominator of r and 7\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -p**8\/1344 - p**7\/420 + p**6\/160 + p**5\/60 - p**4\/24 - 7*p**2 - 182. Factor a(t).\nAnswer: -t*(t - 1)**2*(t + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -241244 - 2761\nAnswer: -244005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32805, 30056, 25467, 19032, 10745, 600, -11409?\nAnswer: -25288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*c**2 + 5*c - 17653.\nAnswer: 22*c + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/108*(-4851)\/(-154)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**27*m**(-16)*m*m**16\/m*m*m**(1\/5))**(2\/53) assuming m is positive.\nAnswer: m**(282\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 25 = 5*l, -l + 5 = 3*w + 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3602 or -3601?\nAnswer: -3602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*p - 23*p + 605*p**2 + 7*p.\nAnswer: 605*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 747 + -32?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/681 and 53\/5?\nAnswer: 3405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 543004*q + 5740. Let d(b) = 1136*b + 12. Give 1435*d(m) - 3*l(m).\nAnswer: 1148*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 18 (b) 46 (c) 211 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/(-2))\/(6\/(-36)). Suppose o = 4*h - 9. Calculate the smallest common multiple of h and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4532 * 106.58\nAnswer: -483020.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 80*b - 733?\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 618 and 6493119.\nAnswer: 1337582514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10*(2 - -1)*-16. Suppose 0 = -28*l + 23*l + m. Differentiate -l*q**2 + 9 + 8*q**3 + 96*q**2 with respect to q.\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 7*c - 4. Let l = -19 + 32. Suppose -5*w - 17 = l. Let g(n) = 20*n - 11. Determine w*g(z) + 17*h(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 110017313 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -613d9?\nAnswer: 613dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18491 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8686001 + 4949001. Round m to the nearest one hundred thousand.\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(475) - sqrt(475) - 1*sqrt(475)*-2)**2.\nAnswer: 100*sqrt(19) + 1925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 10*a**2 + 10*a + 11. Let d(u) = 6*u + 46. Let s be d(-7). Suppose s*v - v + 27 = 0. Calculate z(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 4*n - l - 5 = 0, 3 = 3*l for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p**2 - 6*p - 11. Suppose 10*z - z = -514 + 433. Let q(v) = 11*v**2 - 13*v - 23. Give z*c(d) + 4*q(d).\nAnswer: -d**2 + 2*d + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/294)\/(-25*4\/(-56)).\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.08 - -0.22. Suppose 679*k = 676*k - 6. Suppose 0 = -3*l + 5*h - 12, 1 = -3*l - 5*h - 11. What is the nearest to k in 2, u, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 394923, 394937, 394959, 394989?\nAnswer: 395027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**5\/20 - i**4\/12 - i**3\/6 + 12*i. Let x(d) = -d**2 - d. Suppose 3*h + 5 = 2. What is h*t(s) + x(s)?\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16c2864 (base 13) to base 5.\nAnswer: -3343400002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.065 times 11138470\nAnswer: 724000.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.5 + 9. Let j = 0.59 - 0.39. What is the nearest to -1\/3 in r, 0.3, j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -101*b + 91*b - 550. Let u = b - -69. Calculate the greatest common factor of 6 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -15*d**3 - 9*d**2. Let r(k) = -20*k**3 + 2*k**2 + 8*k - 8. Let o(j) = -7*j**3 + j**2 + 3*j - 3. Let x(w) = 8*o(w) - 3*r(w). What is 2*s(y) + 9*x(y)?\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3*s - 5)*(2*s - 1 + 1) - 2*s**2 + 5*s**2 - 5*s**2 + 0*s + s**2 + 0*s - 5 + 2*s**2 + 5.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2 - 4 + 20*a + 4 + 9*a wrt a?\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -9. Let t(s) = s**2 - 6*s + 5. Let d be t(i). Let a be d\/14 - 4\/14. Sort -2\/9, a, 1 in decreasing order.\nAnswer: 1, -2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 1:53 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/29)\/w)\/w**(-19) assuming w is positive.\nAnswer: w**(520\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 4?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k - 9. Let i(o) = 2*o + 9. Let l(n) = -4*b(n) - 3*i(n). Suppose 6 = 4*s - s. Let f be l(s). Solve 25 = -0*x + f*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*f**2*i**2*n**2 + 2*f**2*i**2 - 3*f**2*n**3 + 3*f*i**2*n + 16*f*i*n**2 + i*n**3 wrt f.\nAnswer: -6*i**2*n**2 + 4*i**2 - 6*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1400\/(-11900))\/(870\/102)?\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -299 (c) 0 (d) 1.6 (e) 1\/2 (f) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -2) + (-12)\/4 + -1. Put k, 1, -2 in decreasing order.\nAnswer: 1, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 438250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/43204 and -77\/1691128?\nAnswer: 11837896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004122965 rounded to 6 dps?\nAnswer: 0.000412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7123*l - 7123*l + 2*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4312 and 439285.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3211 and 845?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1354523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 6*d + 8. Let u be l(-7). Let p be (-1)\/((-16)\/(-6) - 3). Suppose -u - 11 = -p*x. Solve 5*k - 40 = 5*w, -27 = -x*k + 3*w - 0*w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2385.\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4795167, -19180666, -43156491, -76722636, -119879095?\nAnswer: -172625862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/72 and -29\/1755405.\nAnswer: 14043240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(132*39\/95238).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118117155?\nAnswer: 3, 5, 13, 409, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.282 + 0.219. What is z rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24048 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w. Let f = 1742 - 1739. Let h(v) be the first derivative of 8*v**2 - 31. Determine f*h(j) + 14*g(j).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-312)\/260)\/(15\/(75\/2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**4)**50*(x*(x*x**(-1\/3)*x*x)\/x)\/x**(-12) assuming x is positive.\nAnswer: x**(644\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-1 - -3 - (-19 - -21))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2 = 0, 19 = 4*w + a - 47. Suppose 4*m = -c + 6*c - 30, -w = 4*c + 5*m. Factor -2\/3 + 1\/3*y**c + 1\/3*y.\nAnswer: (y - 1)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -363*t**2 - t + t - 318*t**2 - 178*t**2 + 860*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (25 + -22 + 8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -14. Suppose -1636 + 8386 = o*r. Suppose g = -2*h - 269, -6*g = -g + 5*h + r. Round g to the nearest 10.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -7 + (-30 - -36)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 f, and 1 p when four letters picked without replacement from ffipfpii?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 356, 770, 1348, 2096, 3020, 4126, 5420?\nAnswer: 6908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18779 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: Sort 0, 3, -5, 5, -1, 75521, 1 in descending order.\nAnswer: 75521, 5, 3, 1, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102351 and 18401583?\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000058454881 to six dps.\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**2 - 3*f. Let r(y) = -y**3 + 4*y**2 + 4*y - 2. Calculate 2*r(b) + 3*s(b).\nAnswer: -2*b**3 - b**2 - b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(4)\/sqrt(8) + -2 + 1)**2.\nAnswer: -2*sqrt(2) + 9\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 12*r**2 + 12*r + 13. Let w be v(13). Suppose w = -4*f + 12 - 4. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0976 times -228033\nAnswer: -22256.0208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -86 + 88. Solve -z = -0 - h for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -7 (b) -0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 219858?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 8*s + 9. Let a be x(7). Let l be 0\/(-2) + -1 + 4. Suppose 3*y - 5*k = -2*y + 1249990, -500006 = -a*y - l*k. Round y to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f - 24195 - 28197 = 0. Does 17 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/35009 and -11\/52.\nAnswer: 140036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208*g + 106*g + 111*g = 1449. Calculate the greatest common divisor of g and 1379.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2 + 16 = -2*h, -3*h + 1 = 5*u. Suppose u*q = 3*q - 5*t - 28, 4*t = -2*q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 632336149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 4*m = -132. Let t = m - 27. Suppose p - 9692 = -2*j, t*p - 3*p - 2*j = 29108. What is p rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1617751, 1617760, 1617769?\nAnswer: 1617778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.28 (b) -5 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 32*f**2 + 58*f - 59. Let c be p(-30). Is -1259*(c + 6\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444855517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 397961?\nAnswer: 167, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 14*r**2 - 4*r + 122. Let x be i(-15). Which is greater: x or -310\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2. Let a(i) = -i**2 - 9*i + 41. Let j be a(-12). Suppose 10*x = -t + j*x + 62, x = t - 50. Let w(b) = -44 + 44 - t*b**2. Calculate m(w(h)).\nAnswer: 2704*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t - m + 19, m - 3 = 23*t - 24*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74 + -71. List the prime factors of (-1 + 11\/a)*2484\/48.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 280, 283, 286, 289, 292, 295?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mtqqqqtqgtqmgmgmqmqs. What is prob of picking 1 q and 2 g?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46271 is divided by 3134?\nAnswer: 2395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - a - 38 = -30, 5*a = f - 12. Let g(q) be the second derivative of -12*q + 5\/6*q**3 + 7\/2*q**f - 1\/12*q**4 + 0. Give g(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 34?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 204 (b) -0.5 (c) 3\/287 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwsj when four letters picked without replacement from wjjjjjggagjagjssa.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11170 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 + (-2121)\/105)*3055\/26?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*sqrt(156) - sqrt(156) - sqrt(156)) + sqrt(156) + (sqrt(156) - 4*-1*sqrt(156)))\/(sqrt(72)\/(sqrt(60)\/(-2*sqrt(10) + sqrt(10)))).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**5\/20 + 23*v**4\/16 + 31*v**3\/6 + 5*v**2 - 608. Find t, given that n(t) = 0.\nAnswer: -20, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 5:35 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 7 + 0 - (43 - 46)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 5*o = -10*p + 14, -20*p - 16*p + 35*p + 6 = -5*o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -6*o**2 + 216*o - 874. Calculate f(4).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 6 - (50 - 50)) + -9 - (-16 + 6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1279071341 + 12.\nAnswer: 1279071353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37698*n + 37695*n + n**2 - 113082*n + 37689*n.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/24)\/((-156)\/312)\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3577 (base 11) in base 6?\nAnswer: -33402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 752.03 - 749. Let r = t - 2.63. Let f be (-1)\/((-9)\/(-5) + -1). What is the closest to 1 in 3, r, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20124 (base 12) to base 10\nAnswer: -41644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -524*g**3 + 423*g**3 - 35 + 35 - g in the form t*g**2 + d + y*g + h*g**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1460\/5317?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -16 and -8.96905724.\nAnswer: -24.96905724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 10*i - 10. Let r(h) = h**3 + 15*h**2 - 15*h + 23. Let q be r(-16). Let v be w(q). Let k be 10\/v - (-78001)\/(-6). Round k to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 2*v + 2721, 4557 = 5*o + 32*v - 28*v. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 z when two letters picked without replacement from zglzgjvc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.39 + 0.01. Let s = 2\/91 + -370\/273. What is the biggest value in x, 5, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 779525.7 rounded to the nearest 1000?\nAnswer: 780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169068120.\nAnswer: 2, 3, 5, 13, 108377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/23 - ((-3736008)\/437)\/9 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/9)\/(8\/420). Let q be (d\/14)\/(-1 + (-5)\/(-6)). Factor 7*g**2 + 3*g**2 + 10*g**3 - q*g**3.\nAnswer: -5*g**2*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(68) + -1 + -3)**2 + -4 - ((sqrt(68) + 0)*2 - -5*(sqrt(68) + 1 + sqrt(68)))**2) + -4.\nAnswer: -9745 - 256*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 31. Let d = 6 + v. Let c be 0\/d - -1 - 31001. Round c 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 {d: 8, j: 2}. Give prob of picking 2 d.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.253 + -4.253. Put -4\/47, 2, j in ascending order.\nAnswer: j, -4\/47, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/10)\/(3\/3882). Suppose a = -5*b + 1858, 3*b = -5*a + w + 459. Suppose 2*q - b = -2*q. Does 24 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.4 - -13. Let y = q - 0.1. Let v(g) = -g**3 + 4*g**2 + g - 3. Let f be v(4). What is the third smallest value in y, -1\/7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 344 - 297.4. Let q = -42 + k. What is q rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 149*y**3 + 2*y**2 - 9*y - 10. Let q be m(-1). Is q > -146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -1.1 (c) -6 (d) -224 (e) -5\/4 (f) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -9*n**2. Let t(j) = -13*j. What is t(c(y))?\nAnswer: 117*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a decade in months?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 124)\/3 + 1. Suppose 3*q - a = -3*m, -6 = -2*m - 0. Calculate the remainder when 32 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21472531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -281*0.3\nAnswer: -84.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/3*4\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1227 + 1299. Solve 14*v + 26 = -t for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/18 + (-43)\/(-9). Suppose 0 = 5*i + o*i - 180. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t - 1. Let h = -7 - -5. Let d(z) = 2*z**2 + 2*z + 2. Let s be 8\/44 + (-256)\/(-44). Let r be (-8)\/6 - (-2)\/s. Give h*b(q) + r*d(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2814529?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 43*p**2 - 134*p - 2028. Give x(-41).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2929525563?\nAnswer: 3, 41, 4079, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-749*i + 4292*i + 17936*i + 4762*i + 2765*i)*(4*i - i - i) in the form c*i**2 + f + y*i and give c.\nAnswer: 58012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12\/7, 0.3, -2\/15, 0.2, 16\/327, 1?\nAnswer: 16\/327","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1905 = 6*n - 1869 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000029774 to seven decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*t + 19*t - 82*t + 25*t + 18*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -27) + (-1 + -15 + 20 + -10 - -8)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (199 - -1)\/((-3)\/(-84)*-2). Let p = x + 6257. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9800 is divided by 1699?\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*a - a**3 - 55 + 34*a - 15 - 17*a as q*a**3 + n*a + p + s*a**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**2 - 4*p + 7. Let h(g) = -8*g**2 - 13*g + 20. Let x(c) = -4*h(c) + 11*j(c). Let v be x(7). Solve 0 = v*d + 3 + 17 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 404 + -91. What are the prime factors of l?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k. Let p(v) = -17394*v. Calculate w(p(a)).\nAnswer: 17394*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*f - 145*f + 150 = -2*z, -87 = -2*f - 3*z. Suppose 2*p - 5*v = -43, 3*p - p - v + f = 0. Sort 2, 4, 0, p in descending order.\nAnswer: 4, 2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - s - s)*(-3 - s + 3)*(-78*s + 34*s - 4*s) + (s + 2*s - s)*(3*s**2 - 3*s**2 + s**2).\nAnswer: 98*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -104 and -3.2?\nAnswer: 332.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-150)\/(-510)*51\/12.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -970011 divided by 4?\nAnswer: -970011\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -13*d**2 - 26*d + 903. Calculate j(7).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2357*b*u**2 + 2*u**2 + 3*u - 1528 wrt b.\nAnswer: 2357*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*m = -29, 0 = -b + m - 2 - 4. Let r = b + 13. Which is smaller: 3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*l + 1524 = 216. Suppose -7*p - 50 = -2*p. Let k = p - -68. Calculate the remainder when k is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2, 16, 41\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s + 4*s**2 + 1\/3*s**3 + 0 = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 19*y**2 + 19*y - 17. Let o be q(-20). Solve 2*r + 15 = -3*r + 3*h, o*r = -5*h + 25 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -50*o - 285. Determine p(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -200 and 7.38372 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 283622 to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r + r + 0*r)*(3 - r - 3)*(63 - 43 + 60) to u + l*r**2 + v*r and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10189 is divided by 57?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 4*y + 2*y)*(-108 - 13 - 277 - 355 - 2 - 2 + 2 + (1 + 4 - 3)*(1 - 1 + 2) + 1 + 2 - 4 + 0 - 2 - 1).\nAnswer: -755*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 8, s: 3}?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + 4. Let k = -47 - -65. What is the remainder when k is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 8*y + 11*y = 12, a + 5*y - 6 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1659 + -1657. Let y(o) = 12*o**3 - 11. Let u(a) = 6*a**3 - 5. Determine p*y(r) - 5*u(r).\nAnswer: -6*r**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -413.8 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.6 + 10.3. What is the closest to -0.3 in 1, 0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161770, 161740, 161686, 161608, 161506?\nAnswer: 161380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -81679\/53 - -1541. Which is the nearest to 0.1? (a) -0.5 (b) f (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.11621 rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -n + 17, -5*n + 3*y - 29 = -10*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -53586 and -2?\nAnswer: 107172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*n + 4*x, 0*n - 4*x = -3*n - 5. Let f = 5 + n. Solve -g - f + 4 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*f - 12 = -3*r, 5*f - 4*r - 20 = 0. Solve -161*o - f = -159*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**2 - 16*u - 10. Let m be r(-7). Suppose -m*t + 1 = 5. Let s(p) = -p + 18. Let z be s(14). Put 6, t, z in ascending order.\nAnswer: t, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 - 48*b + 3. What is c(24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 16 = -22 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5114, -5097, -5082, -5063, -5034?\n\"Answer: q**3 - 7*q**2 + 31*q - 5139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2239)\/33 + 33\/(-99). Which is smaller: -0.1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -82 - -84. Find u such that -11\/3*u**p + 4*u**4 - 1\/3 + 7\/3*u - 7\/3*u**3 = 0.\nAnswer: -1, 1\/4, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 2*m**2 - 8*m + 14. What is the units digit of h(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 539, 1695, 3867, 7403, 12651, 19959?\nAnswer: 29675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2 = -4*k. Let j = 222 - 206. Suppose k*z - 8 = -3*b, 5*b - 2*z = 8 + j. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -9, -4 in increasing order.\nAnswer: -14, -9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1595 - 1586.6. Put 2\/3, l, -4 in ascending order.\nAnswer: -4, 2\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -606*j**3 - 13*j**2 - 106. Let h(k) = -101*k**3 - 2*k**2 - 18. What is -13*h(x) + 2*r(x)?\nAnswer: 101*x**3 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + k + 2255 = -752, -4*f + 4*k = -2396. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5480 and 6165?\nAnswer: 49320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 + 15 + 9)*(2 - r - 4 + 4).\nAnswer: -61*r + 122","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*a = -5*a - 166 - 1121 + 27 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -478.\nAnswer: 47.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 304*t = -303*t + 65955, -u - 4*t = -21959. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6137 - 6029 = -4*t for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/8 - (-3635)\/14636. Let k = 442703\/21954 - d. Calculate the common denominator of -91\/8 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18665929633 + 5*i**3 - 18665929633.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -60*w. Let r(k) = 73*k**2 - 3. Give q(r(z)).\nAnswer: -4380*z**2 + 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 16*y - 38. Let o = -7195 - -7207. Determine m(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 + 10285990*l + 5290079514005.\nAnswer: 5*(l + 1028599)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/(232\/(-58)*5\/5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -2*x**3\/3 - 6*x**2 - 10*x + 1279. What is u(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 549740312.\nAnswer: 2, 11, 761, 8209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.3376751us to hours.\nAnswer: 0.00000000120490975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 78\/10 + 12\/60. Which is smaller: c or 21?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 601005776 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1426219 by 2381.\nAnswer: -599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-8)*52\/(65\/(-5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -8*n - n + 5*n - 16*n - 6*n + n**2 + 109. Calculate l(21).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 4. Let p be n(-3). Let u(i) = 2*i**2 - i. Let h be u(p). Let k(q) = -12*q. Let f(m) = -148*m + 292*m - 138*m. Calculate h*k(r) + 5*f(r).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38)\/19)\/(((-18)\/(-105))\/(-3)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (-49 - 2) + 69\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 297 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -k, 0*b + 2*b + k = -53. Let o = -17 - b. Suppose 3*w + 2 = o, -5*c = 2*w + 4. Which is smaller: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0032418733 rounded to 6 dps?\nAnswer: -0.003242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -106153, 2\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, 17, -414, 35 in increasing order.\nAnswer: -414, -2, 6, 17, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3193487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3745874893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 9*u. Let w(j) = 2*j**2 + 3. Let b(o) = -3*o**2 - 5. Let m(a) = -a**2 - 18*a + 22. Let q be m(-19). Let c(t) = q*b(t) + 5*w(t). Give f(c(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5972628145?\nAnswer: 5, 11, 587, 184997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9034344 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, 119, 274, 459, 680, 943?\nAnswer: 1254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 + 944. Let b(s) = -15*s**2 - 7550. Let j(i) = -3*b(i) - 23*o(i). Let u(d) = d**2. Give u(j(q)).\nAnswer: q**4 - 1876*q**2 + 879844","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-two fifths of a tonne?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/16 and 17\/66574.\nAnswer: 532592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0612*0.29.\nAnswer: 0.017748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -15. Let q be m*-3 - (-245)\/77. Sort -2\/13, q, 2 in increasing order.\nAnswer: -2\/13, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hkkkkkkkkkkkkkkkkk. Give prob of sequence kkhk.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 3. Suppose s*f = -5*j + 7, f = -j + 4*f + 15. Let t be (2 + 0 - 3)*-3. Solve -4*u + 2*u + t*n - 11 = 0, 0 = -j*n + 3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 7:35 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -239947095.\nAnswer: 47989419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 1 = 16. Let s(h) = -h**2 - 3*h + 4. Let g be s(o). Suppose 4*b = 5*i - 3*i - 8, -g = -4*i - 4*b. Solve 3*f - 7*f + 5*n = i, 2*n - 6 = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 26 = -3*u, -2*u - d + 4*d + 13 = 0. Suppose 3*c = 0, 4*y - 16*c - 256 = -11*c. What is the greatest common divisor of u and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30719938 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 - -33. Suppose 0 = -x*k + 3*h + 42, -5*k + 0*k + h = -79. Solve -4*m - m = -k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/7))**(1\/55)*(w*w*w**6*w*w)\/((w\/w**(-4))\/w) assuming w is positive.\nAnswer: w**(2312\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16380 divided by 26.\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + sqrt(36)\/sqrt(3) + 1)**2.\nAnswer: -12*sqrt(3) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (38\/(-23))\/(2226\/(-51198))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*i**4 + 3490*i - 3490*i + (2 + i**3 - 2)*(i + 0*i + 2*i) - 11*i**4 + 4*i**4 - 9*i**4 in the form t*i**4 + r*i**2 + w*i + p + g*i**3 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 21388.3406 to the nearest 10.\nAnswer: 21390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2\/11 - ((-4396)\/(-462) - 10)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3968.851 weeks?\nAnswer: 666766.968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 534\/(-89)*(-8)\/108*(-171)\/(-2).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -76*i**3*o - 8412*i**3*q + 1570*i**2*o - 39*i*q - 2*o*q - 1 wrt o?\nAnswer: -76*i**3 + 1570*i**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 10:13 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5 = 0, 4*w - 2 - 4 = -2*o. Let k be (0 + 2889\/(-1224))\/(53\/(-164)). Let m = k - 124\/17. Which is bigger: m or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 8 = 4, n = -3*u - 143. Let g = -70 - n. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 7.9, -683, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 o when two letters picked without replacement from ojo.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uaiuiuaiiimummu.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 505 = -u. Let w(v) = 101 - u - 53*v. Let d(t) = -2*t. Determine d(w(y)).\nAnswer: 106*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 7\/24*b**4 + 9*b**2 + 1\/12*b**5 - 1\/3*b**3 + 0 - 1\/120*b**6 + 0*b. Let z be c(6). Solve -t + z = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/45)\/((-3)\/(3\/2)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 82, 71, 44, -5, -82?\n\"Answer: -n**3 - 2*n**2 + 2*n + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 552432?\nAnswer: 3867024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 9:04 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/44 and 119\/(-120) + (-4)\/(-6).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 4285934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = 4*h - 9*h. 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: What is the greatest common divisor of 1173237 and 1570413?\nAnswer: 2613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 225667 by 5.\nAnswer: 225667\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((-2 - 2) + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -524*g - 1577. Let d be y(-3). Put 13, 3\/7, 0.3, d, -4 in descending order.\nAnswer: 13, 3\/7, 0.3, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -53. Let w be (-145)\/(-7) + 6\/21. Let d = w + -8. Calculate the remainder when g is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.83? (a) 9 (b) -0.052 (c) 0.15 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 9*g - 13. Let f be p(-10). What is the hundreds digit of ((-2)\/f)\/(-5 - (-4551)\/909)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21371*a**4 + 19291?\nAnswer: -85484*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3\/7 + 436*x**2\/7 - 720*x + 4608\/7.\nAnswer: -4*(x - 96)*(x - 12)*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -4\/1145 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17361 - 17356. Solve 2*p - g + 98 = 93, x*p + 35 = -5*g for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*u = -15. Let a(q) = -5*q + 5. Let n(z) = 2*z - 3. Let h(s) = u*a(s) - 5*n(s). Let f(j) = j. Give h(f(m)).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*(sqrt(125))**2 - sqrt(15)\/(sqrt(75)*-3))*2.\nAnswer: 2*sqrt(5)\/15 + 750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4778978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -379\/166 (b) 0 (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**3 - w - 2. What is u(-2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.75 - -0.25. What is the nearest to -2\/7 in 4, x, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*k - 60 + 195 - k**2 + 20 - 65 as s*k + y*k**2 + o and give o.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 2*g + 5*q, 4*g - 2*q = q + 222. Suppose -3*l + g = 2*n, -2*n + 3*n = 5*l + 48. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 2. Let c be 3 - 20\/(-1 + 6). Let x be f(c). Sort -1, 5, x in decreasing order.\nAnswer: 5, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1\/15, 0, -23\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(117) - -5*sqrt(52)) + 3*(-2 + sqrt(52)\/sqrt(4)))**2.\nAnswer: -160*sqrt(13) + 3353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 + (-16)\/(-28) - (-584)\/6720 and 13\/132.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330*z + 201 = 333*z. List the prime factors of z.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -19. What is the greatest common divisor of 2 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17.01 + 17. Let i = a + 0.11. Let k = -0.099989 + i. What is k rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6, 39, 190, 501, 1026, 1819, 2934, 4425?\n\"Answer: 9*w**3 - w**2 - 15*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3546 is divided by 74.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 333 - 569. Let b = i - -1885\/8. Is b less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27007291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.83*-1151.3.\nAnswer: 955.579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y - 2. Let f be o(-6). Let d be f\/5 + (-14)\/4. Which is the closest to 1? (a) -1\/4 (b) d (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 12 = 0, 0 = 2*x - 3*x + 3*w + 41. Calculate the remainder when 122 is divided by x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28001944?\nAnswer: 2, 43, 81401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-6))\/(16\/(-64))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242519151?\nAnswer: 3, 7, 1021, 11311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, b: 13}. What is prob of picking 2 u and 1 b?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 74 and 16?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -7*a**3 - a - 1. Calculate m(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 779245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -25. Solve -4*h + 2*g - m = 13, -5*h = -2*g + 18 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 382709*h + 382697*h - 765389*h.\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/7 (b) 18 (c) -33\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**4 + 216*w**3 + 1830*w**2 + 3004*w + 1392 = 0. Calculate w.\nAnswer: -6, -1, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 143.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/19)*c\/c**6)**(-1\/10)*c\/((c\/((c\/(c**(-2)*c))\/c))\/c)*(c*c**(2\/3)*c)\/c*c*c*c**(-1)*c*c**(1\/4) assuming c is positive.\nAnswer: c**(7327\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 - 6*a - 7. Let m be k(5). Let z(n) = 20*n + 4. Let x be z(5). Calculate the highest common divisor of m and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 470754 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**3 - 9 + 16*i - 10*i + 9 + 9*i**3. Let j(c) be the third derivative of -c**6\/6 - 17*c**4\/24 + 2*c**2. Determine 17*f(t) + 6*j(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrn when three letters picked without replacement from {r: 2, n: 11}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4833, -4835, -4845, -4869, -4913, -4983?\nAnswer: -5085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + 1.5. Let r = u + -1.63. Let p be 38\/(-665)*(-15)\/2. Is r smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 2. What is the units digit of (-2 - (z - -3))\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -x**7\/315 + x**6\/135 + 23*x**5\/270 - 11*x**4\/27 + 4*x**3\/9 - 23*x**2 - 1. Let q(g) = 0. Calculate g.\nAnswer: -3, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297840959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61\/31 or 2?\nAnswer: 61\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4882208*x**3 + 5039*x**2 + 36*x.\nAnswer: 29293248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b - 7. Let o(f) = 2*f - 4. Let a be o(5). Let n be t(a). Solve -3 = -n*i + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 206 (base 7) to base 6.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*s - 6\/7*s**3 + 2\/7*s**4 - 8\/7*s**2.\nAnswer: 2*s**2*(s - 4)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*z**2 + z + 2*z - 4*z.\nAnswer: -16*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/12 + 43\/4. Which is smaller: 12 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b + 2 - 2 + 6*b**5 - 11*b**5 wrt b.\nAnswer: -100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 4 + (-2 - -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 3*h**7 + 5*h**3 + 5. Find the third derivative of g(t) wrt t.\nAnswer: 2520*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**11\/(m*m\/(m**(-3\/7)*m)))**(-43)*(m**(-2))**37\/(m**(-1)*m)**3 assuming m is positive.\nAnswer: m**(-3399\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 244 - 52. Let f be n + -5 + (0 - -4). Suppose 3*i + f = 4*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.7 rounded to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1823416)\/(-34) - ((-240)\/(-2295) - (-10)\/(-45)).\nAnswer: 2, 5, 31, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -2\/5, 2\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1416058 rounded to the nearest 10000?\nAnswer: 1420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6}. Give prob of sequence mmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3389237701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s. Let k(b) = 54*b**2 - 11. Determine k(d(y)).\nAnswer: 216*y**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zaiaitzaajjaia. Give prob of picking 3 a and 1 t.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4160507 a multiple of 444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3338934 divided by 6?\nAnswer: -556489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3930 and 6810?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2326922*d + 7. Let m be q(5). Let p = m + -834617. Round p to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -x + 19, 2*x - 1 = 5*n - 15. Suppose 3*r + x*d - 9938 = 8*r, -5*d - 20 = 0. Round r to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 4*r. Suppose -g + 4*g + 12 = 2*y, 4*g = 5*y - 16. What is l(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5*n + 14. Let j be z(6). List the prime factors of 2\/(j\/20 - 2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1.4860743?\nAnswer: -1.5139257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116677?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*m - 8, 7*m - 3*y - 21 = 4*m. Suppose 1855 = m*w + 2*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 - 96206934*h**3 + 384827700*h**2 - 384827688*h.\nAnswer: 3*h*(h - 32068974)*(h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 8*z**2 - 6*z + 9. Determine n(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 2 - ((-3 - -11) + -10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-193*l + 193*l + 2*l**2)*((3*l - l - 3*l)*(3 + 2 - 7) - 25*l + 0*l - 2*l) as b*l**2 + o*l**3 + d + t*l and give o.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 - -26. Let q be (k*1\/(-2))\/(0 + -1). Solve -25 = -q*h - 5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 96*d**3 + d**2 + 3*d + 3. Let k be a(-1). Let m = 97 + k. Solve m*z + 10 = 2*t, 4*z = 3*t - 13 - 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*q**3 - 66*q**3 - q**2 + q**2.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -336 + 903. Let y = d + -1037\/2. Calculate the common denominator of y and 29\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, i: 3, l: 2, x: 1}. Give prob of sequence ix.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.01 (b) -0.04 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36758*w**2 - 4 + 68*w + 2 - 36760*w**2 + w**3 + 0 to v*w**3 + o*w**2 + t + y*w and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 14\/10)*-10. Suppose 5*w - 2 = -d, 5*d - y*d - 2 = 5*w. Solve 0 = 4*h + 5*l - 7, d*l + 2*l = -h - 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 624.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -11, -33, -63, -101?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -32.6, -4, 89\/3, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -442*l**2. Let z(s) be the first derivative of 2*s**3\/3 + 4551. Give z(n(d)).\nAnswer: 390728*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*296\/(-130))\/(22*(-5)\/(-715)).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19557 divided by -477?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(2*k**2 + 2*k**2 - 3*k**2)*(2*k - k + 9*k + (-1 - 1 + 1)*(-2*k - 4 + 4)).\nAnswer: 24*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4715 + 14165 = 1050*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**4\/4 - 7*l**3\/3 - 18*l + 929. Determine h(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - w**2 - w - 1. Let r be f(-1). Suppose -3*k = r, -4*k = 4*i - 6 - 110. What are the prime factors of i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 32*u - 137 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**7\/8 + 13*o**6\/40 + 19*o**5\/80 + o**4\/16 - 7*o**2. Let i(m) = 0. Calculate m.\nAnswer: -1, -2\/7, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) -1 (b) -466\/7 (c) 0 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i. Let n be 1*9\/(81\/6). Let s(x) be the first derivative of 0*x**2 - 1 + 0*x + n*x**3. Give t(s(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 16*y**4\/3 - 974*y. Let o(m) = 21*m**2. Give o(j(k)).\nAnswer: 86016*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 3*k - 6, -2 = 2*v - 4*k + 2. Is (-3416)\/(-16) - (-5)\/v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*j + 3*j. Let p = 1947 + -1928. What is the highest common divisor of p and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1131223211 + -20100?\nAnswer: 1131203111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76 - -92. Suppose -8*a - 246 = -14*a. Calculate the remainder when a is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 701.4925999 rounded to two decimal places?\nAnswer: 701.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + -0.2. Let h = -211.7 + 212. Let o = -3 + 3. What is the third smallest value in f, h, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/8*(-7)\/(245\/(-7))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/10 and 48\/3365.\nAnswer: 6730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 497 and 19778?\nAnswer: 9829666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from siivizszzi. Give prob of sequence svs.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - l**2 + 130*l + 56. What is z(11)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, w: 2, i: 4, y: 4, e: 2, f: 1}. What is prob of sequence lf?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in nine tenths of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 166936513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2354\/7 + 25551\/77. Calculate the common denominator of 73\/10 and x.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-1837.661166\nAnswer: -1838.061166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2022211022202 (base 3) to base 12.\nAnswer: -4b7778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x - 1503 + 0*x - 1489 + 5827 - 1354 - 1481.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 14*u - 376. What is the remainder when 230 is divided by u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.141 and 16.7066?\nAnswer: 16.5656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*m + m + 6*m)*((-3*m + m + m)*(3 - 6 + 2) - 3*m + 6*m - 2*m)*(m**2 + 3*m**2 + 26*m**2) in the form g + a*m**3 + w*m**4 + y*m**2 + q*m and give w.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + (sqrt(209) - -1*-1*sqrt(209)))\/(sqrt(110)\/(sqrt(60)\/sqrt(6))).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 263 - 464. Let i = l + 200.5. Let g = 0.15 + -0.2. Sort g, i, 1\/3 in ascending order.\nAnswer: i, g, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/143 and 21\/130.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 s when three letters picked without replacement from {g: 5, c: 3, p: 1, t: 3, s: 1}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(228) + 2*sqrt(228))*5)\/(-2*sqrt(108)))**2 + ((-1 + sqrt(2299))*3 - sqrt(2299)) + 4.\nAnswer: 22*sqrt(19) + 479\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/(v*v**6)*v)\/v)*v)**(-40)\/(v**(1\/3))**(-10) assuming v is positive.\nAnswer: v**(-950\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by (-216 + 224)\/((-1)\/((-45)\/6))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 42\/17, 1?\nAnswer: 42\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 10*i + 13. Let o be y(-11). Suppose 863 = 5*t + o*k, -2*t - 5*k + 187 + 154 = 0. Let s = -1737\/10 + t. Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.227 times -51?\nAnswer: -776.577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 1175?\nAnswer: 1175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1018, -2040, -3062?\n\"Answer: -1022*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -67, -181, -403, -769?\nAnswer: -1315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 7:22 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*g + 573. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20\/3)\/(40\/60). Suppose 3*q + 4*x - m = 0, -4*q + x = 2*x - 35. Suppose k - q = 71. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*j**2 + 1737*j**3 + 2061*j**3 + 1994*j**3 - 14*j**2 - 6176*j**3.\nAnswer: -384*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-3))**(17\/6)*(d*d*(d**(11\/3)*d)\/d)\/d**5 assuming d is positive.\nAnswer: d**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4\/2 - 3*b**3 + 3*b**2\/2 + 3*b.\nAnswer: -3*b*(b - 1)*(b + 1)*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5 + (2 - 6 + 2)*(1 - 3 + 3))*(18*d**3 - 18*d**3 - 11*d**3) + 0 + 0 + d**3.\nAnswer: 45*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 7*w. Let p(j) = 4*j + 7*j - 3*j. Let v(o) = -6*p(o) + 7*u(o). Let m(t) = -5*t - 5*t - 4*t + 16*t. Calculate m(v(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 6*o = 2*o + 127, 4*o + 20 = 0. Let n = 341 - g. What are the prime factors of n?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21530 - 21530.9. Which is the fourth smallest value? (a) 0.2 (b) -2 (c) 2 (d) -1\/10 (e) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 1\/3, -0.0598, 1, -8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 9. Let o be (-3 - (-4 + 5)) + 16. Calculate the greatest common factor of p and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.4 (b) 3 (c) -2\/3 (d) 0 (e) -10.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + -1 - 144\/(-10 - 2). Suppose k*r = 4 + 12. Solve -4*t = -r*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78721 is divided by 15711?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 40 = 2*z, 3*f - 2*f + z + 15 = 0. What is the hundreds digit of 3240\/28 + f\/(-35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**14*v*v**(1\/5)*(v\/(v*v**(2\/13))*v)\/v**(-2\/41) assuming v is positive.\nAnswer: v**(42893\/2665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 11*y**2 - 22*y + 25. Calculate k(7).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 36710880?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 358028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b*i**2 + 2*b*i - 3*b - 3*i**2 + 39 wrt i.\nAnswer: 4*b*i + 2*b - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-180)\/(-42) + -4 + (-1)\/28?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75)\/(-70)*(-105)\/30)\/(8\/(-96))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 38\/9 - (-4)\/(-18). Let z(d) = 5*d**2 - 2*d + 4. Let k(m) be the second derivative of 3*m**4\/4 - m**3\/2 + 7*m**2\/2 + 3*m. Give f*k(s) - 7*z(s).\nAnswer: s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 47, 102, 181, 296, 459, 682, 977?\n\"Answer: 2*l**3 + 41*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 29395, 58447, 87485, 116503, 145495, 174455, 203377, 232255?\n\"Answer: -y**3 - y**2 + 29062*y + 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 + (-69 - -19 - 14).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 128\/12 + (-80)\/(-42).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 493740 and 90?\nAnswer: 493740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -226491, -226492, -226493, -226494, -226495?\n\"Answer: -b - 226490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1112?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*y = -49, -b + 3*b - 29 = y. Suppose -2*g - 4*o - 10 = 0, -3*o + 0*o = b. Find the first derivative of -14*c**g + 6 + 12 - 3 - c**3 wrt c.\nAnswer: -45*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -17*w - 2 + 2 + 16*w + 1. Let i(v) = -5*v + 4. Give i(a) - 4*m(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14255 in 2, 4\/9, 2\/21, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/6 - (220\/6)\/(-22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 55, 63, 67, 67, 63, 55, 43?\n\"Answer: -2*i**2 + 14*i + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.06829*0.95\nAnswer: 0.0648755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 4*u**2 - 48*u - 52 = 0.\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/2 of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -2 - 14 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -300?\nAnswer: -2ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 68, 165, 262, 359, 456, 553?\n\"Answer: 97*g - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + 37. Which is greater: 62 or p?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22445860?\nAnswer: 2, 5, 31, 41, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -0.5, 31542, -0.1, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkkkkkkkkkkkko. Give prob of sequence ookk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - i**2 - 1. Let d(n) be the first derivative of n**4\/4 - n**3\/3 - n**2\/2 - n + 135. Give -d(t) + h(t).\nAnswer: -2*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6856367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18313\/6 + -3071. What is the common denominator of p and (-1)\/((-12)\/(-122) + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14 + 8\/(-4))*(-125)\/100. Let c(p) = p**2 - 22*p + 38. Calculate c(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 - 226202*p + 113100*p + 113088*p.\nAnswer: 2*p**2 - 14*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64757.77 kilometers to nanometers.\nAnswer: 64757770000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (sqrt(77) + sqrt(77)*1 + sqrt(77) - sqrt(77)))*6 - sqrt(77))\/sqrt(11).\nAnswer: 17*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, p: 8, a: 2, z: 1, c: 1, x: 1}. What is prob of picking 1 z, 1 p, 1 w, and 1 a?\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300a72 (base 13) to base 10.\nAnswer: 1115662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 20*i - 12. Let m(z) = -17*z + 16. Calculate -4*m(j) - 5*q(j).\nAnswer: -32*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22975*j - n = 22982*j - 6, 0 = j + 2*n + 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 t, and 1 x when three letters picked without replacement from xytacyx.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 887*h**6\/120 + 1573*h**5\/60 + 2*h**2 + 1228. What is the third derivative of d(c) wrt c?\nAnswer: 5322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 1019480?\nAnswer: 1019480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgfgmkamkm. What is prob of picking 2 k?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 13*a**3 + 7*a + 5. Let l(n) = 45*n**3 + 24*n + 18. Let q(f) = 18*d(f) - 5*l(f). Find the second derivative of q(t) wrt t.\nAnswer: 54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 218 - 128. Suppose -u = q - 6*q. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 19, 16, 13, 10, 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156, 595, 1328, 2361, 3700?\nAnswer: 5351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 75030927 - 110\nAnswer: 75030817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2420721?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 822617473.\nAnswer: 822617473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29\/5 of a century?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**4\/2 - 6*m**3 + 18*m**2 - 16*m = 0.\nAnswer: 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1869 at most 1869?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 28065.4 times -219.3?\nAnswer: -6154742.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = v - 5*b + 6*b, 142 = 3*v + 5*b. Calculate the highest common factor of 4906 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-6) + -1 - 10\/(-3). Is 23\/(i*(-5)\/(-705)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 3*k + 2*k + 8, -2*y - 4*k = -14. Calculate the remainder when y is divided by (2\/8)\/(8\/160).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-6)\/(t\/t**(-11)) assuming t is positive.\nAnswer: t**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 206 and 412.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) 3503 (b) -27 (c) 2 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*i + 12*i - 28 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 26263077?\nAnswer: -26263074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q**2 + q. Suppose -4*n + 3*f = -10, 3*f + 0 = 2*n - 8. Let k be r(n). Let j = k - -4. Solve j*w - h - 8 = 0, 0 = -w + h - 2*h + 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**5 - 4*q**4 - 24*q**3 - 8*q**2 + 20*q + 12.\nAnswer: 4*(q - 3)*(q - 1)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*a - 29 - 23 = 0, -2*a = -10. Let m = -17 - -7. Let c = -2 - m. Calculate the highest common factor of q and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2244, 9035, 20374, 36255, 56672?\nAnswer: 81619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(1\/2)\/l)\/l)\/l*l*l*(l*l**7)\/l)**(-3\/7) assuming l is positive.\nAnswer: l**(-39\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 + 58*a + 60. Let y be i(-29). Suppose -68*v + y*v + 1088 = 0. Calculate the greatest common divisor of 102 and v.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23334 + -23334.3. What is the second smallest value in d, -74, -2\/125?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h = -18*h. Suppose h*y = 4*y - 12. Find the second derivative of -w**3 - 6*w**3 - w**y + w + 6*w**3 wrt w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, e: 3}. What is prob of picking 2 e?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000061514032 rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 25, 51, 87, 133, 189?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46585855*n**3 + n**2 + 871707770.\nAnswer: 139757565*n**2 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -9. Suppose -o*l - 3*x + 135 = 0, 3*x + x - 202 = -3*l. Suppose l = -2*k + 4*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10714 - -11484. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 6. Let s(h) = -h**3 - 9*h**2 - 16*h - 6. Let c be s(-7). Find y such that -7*y**3 - 12*y**5 + 4*y - c*y**2 - q*y**3 + 26*y**4 + 2*y**2 = 0.\nAnswer: -1\/2, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4 = -20. Let v = -25.6 - -26. What is the second smallest value in k, v, -1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4350 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1670.394 milligrams in tonnes?\nAnswer: 0.000001670394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 371556 to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 4*v - 1. Let l be 1 - 1 - (1 - 4). Suppose l*y - 16 = -4. Suppose 0 = t + 4*g - 16, y*t = g - 14 - 7. What is h(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 4. Suppose 0 = 4*v + 31 + 29. Let m = f - v. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*q + 29*q + 16*q - 702 = 0 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-1*-6 + (sqrt(77) - sqrt(77)*2)*4)\/(((sqrt(441) + sqrt(441)*2 + sqrt(441))\/sqrt(9))\/sqrt(567)).\nAnswer: 9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 3*c - 2. Let i be 52\/(-10) - 4\/(-20). Let b be q(i). Calculate the greatest common divisor of 88 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.126 * 1406\nAnswer: 177.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 16.625571.\nAnswer: -15.625571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000955 rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199 = 9*y - 244. Solve -3*o + y*d - 27 = -4*o, -5*d = 5*o - 35 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1294, 4, 10, 2\/17, 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of 18*b**2 + 0 + 0*b**3 + 1\/4*b**4 + 0*b + 1\/20*b**5. What is the second derivative of r(l) wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -204 divided by 6.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2511 = 3*r + 3*l, 15 = -l + 6*l. List the prime factors of r.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66420 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2249915 (base 10) to base 5.\nAnswer: -1033444130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1710, -2844, -3978, -5112, -6246, -7380?\n\"Answer: -1134*g - 576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 20*d**3 - 3*d - 2. Let p be h(-1). Let z(n) = n**2 + 16*n + 23. What is the tens digit of z(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1535315 + 512?\nAnswer: -1534403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3896 is divided by (0 - (-234)\/10)\/(99\/660).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/11)\/(j*j*(j\/j**1)\/j)*j\/(j*j*j**(-2\/7))*j**5 assuming j is positive.\nAnswer: j**(239\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011589977 to six decimal places.\nAnswer: -0.01159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-3\/2)*p*p**(-4\/5)\/p*p*p*(p\/(p**(1\/2)*p))**23 assuming p is positive.\nAnswer: p**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -65.997483 and -0.454833.\nAnswer: -66.452316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60 or 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -3*l - 23. Let o(i) = 80*i + 18. Is o(l) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13914 is divided by 2198?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 241611, 486468, 731325, 976182, 1221039?\nAnswer: 1465896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*h**5\/3 - 10864*h**4\/3 + 19744*h**3\/3 + 10396*h**2\/3 - 5462*h + 1308 = 0 for h.\nAnswer: -1, 3\/7, 2, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 711 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*k - 37*k - 16*k - 25*k to the form u + l*k and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (785\/(-160925))\/((-5)\/(-25))?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ids when three letters picked without replacement from suiduiii.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 394\/4)*-2. Let i = -104 + 188. Suppose l - i = -3*l. What is the highest common factor of l and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110549 and 2043?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m. Let l(v) = -606*v + 149*v + 157*v + 138*v + 155*v + 130. Determine l(q(t)).\nAnswer: -7*t + 130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 174555 - 174701 = -6*p, -2*v + 4*p + 52 = 0 for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9712?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 5*a - 19, -4*a + 107*i = 111*i - 32 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 1:44 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 94393 to the power of 1\/2, to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*w - 4*s, 8 = 4*w - 0*s + 5*s. Let l(b) = -3*b**2 + 2*b - b**2 + 1 + 3*b**w + 0*b. Let p = -7 + 11. Give l(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47328 and 1167424.\nAnswer: 3502272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 328015620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/8)\/(1 - 0). Let l = 7 + -7.05. Let w = 0.05 - l. What is the closest to w in m, 0, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g + 47. Let d(s) = -2*s + 55. Let u(t) = -6*d(t) + 7*x(t). Let y be u(0). Is y at least as big as -2\/259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, j: 4, l: 2, w: 1}. Give prob of sequence wjlj.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -6*g. Let v = -8 + 14. Let i be 7\/(-9) - v\/27. Let u = i + -2. Let z(c) = -5*c. Calculate u*y(m) + 4*z(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -8. Suppose -y*j + j = -9. 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 the square root of 1188407641 to the nearest integer?\nAnswer: 34473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -139 (base 10) in base 8?\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1496553 minus 2?\nAnswer: 1496551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h + 1. Suppose -3*q = 3*a - 2*a + 7, q + 9 = a. Calculate the remainder when 3*(304\/(-6))\/q is divided by t(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 6*g**2 - 2*g + 6. Let s be i(6). Let a = -3 - s. Suppose 4*z - 3*z = 0, 4*h = a*z + 28. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 282? (a) -0.1 (b) 2 (c) 3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 1. Let n(m) = 10*m - 3. Let t(c) = -n(c) - 6*w(c). Let g be t(-2). Let u be 8\/10 - (-1)\/g. Let z(k) = 5*k**2 - 1. Determine z(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500)\/sqrt(10)*5.\nAnswer: 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 + 7*f**2 + 2*f**2 + (-4 - 1 + 3)*(5*f**2 - f**2 - 5*f**2) - 28 - 2*f**2 - 14 + 5 - 21 + 16*f**2 in the form b + x*f**2 + q*f and give b.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/24 and 31\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 6) + 10 + -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/30 + (-12805)\/1450 - -9.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 55*v + 624. Determine r(-17).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 1. Let r(h) = -h**2 - 9*h + 3. Let f(t) = -3*l(t) + r(t). What is f(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**4 - 25939208*j**3 - 38565183*j**2 wrt j.\nAnswer: -48*j - 155635248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = m + 3*m. Let z(y) be the second derivative of -y**4\/12 - 7*y**3\/6 - 3*y**2\/2 - y. Let t be z(m). What is the biggest value in 1, t, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3 + 92*m**2 - 606*m + 936 = 0. Calculate m.\nAnswer: -52, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**4\/4 - 407*k**3 + 165649*k**2 = 0?\nAnswer: 0, 814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + -2 + -12)*1. Let d = -5 - r. Let g be ((-4)\/(-14))\/((-141)\/(-20727)). What is the greatest common factor of d and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -110000001?\nAnswer: -101111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 17, -4838, -75, 2 in descending order.\nAnswer: 17, 3, 2, -4, -75, -4838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -115530 (b) 0.4 (c) 147\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iueet. Give prob of picking 1 e and 1 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-9))\/(36\/(-54)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * 0.023.\nAnswer: 0.00092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 6*g + 11. Let s(z) = z**2 - 8*z + 7. Let h be s(8). Let b be a(h). Find the first derivative of -37 + 27 + 11*j**3 + b*j**3 wrt j.\nAnswer: 45*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 8*l**2 - 7*l - 5. Let b be r(-7). What is the nearest to 1 in -2\/3, 0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -1*2\/8 + 204\/48\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 (base 5) in base 2?\nAnswer: 111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 21, -7*c - 3*m = -10*c + 18345. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.12543 and 0.4.\nAnswer: 0.050172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(75) - (1*sqrt(75) - sqrt(75)))*5 + sqrt(75) + 1)*1)**2.\nAnswer: 60*sqrt(3) + 2701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 223982294?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 - (5 - 4 - -14)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 - 22*c**2 - 104*c.\nAnswer: c*(c - 26)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10112 - 10004. What is the remainder when 511 is divided by q?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - (36 - 22) - 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3972 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 - 233960*p + 701862.\nAnswer: 2*(p - 116977)*(p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 - 8*b - 12. Calculate t(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 63, 265, 609, 1107, 1771?\n\"Answer: 2*q**3 + 59*q**2 + 11*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -770*l**2 + 301*l**2 + 81*l + 166*l**2 + 301*l**2.\nAnswer: -2*l**2 + 81*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -aa467 (base 12) to base 13\nAnswer: -7b715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40981936\/2023 + -20258. Let h = -131809 + 131809. Is h greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(112))\/(sqrt(12)\/sqrt(27)).\nAnswer: -36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8010321.42 + -8\nAnswer: -8010329.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/9 and 143\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66 - -76. What is the greatest common divisor of 10 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -134265 and 0.0776?\nAnswer: -10418.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 7*p = 2*p - 2, 3*p - 14 = -2*u. Let q = 16 + -1. Suppose 5*a - 12 = -4*s, 8*a - 5*s = u*a - q. Solve a*r - 5 = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one quarters of a century?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 222939*k**6 - 7*k**2 - 944*k + 2 wrt k?\nAnswer: 26752680*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**6\/60 - p**4\/24 + p**3\/6 + p. Let b(j) be the second derivative of f(j). What is b(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -1, 3, 18 in descending order.\nAnswer: 18, 3, -1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 226305991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*r - 3*t + 31, -r + 5*t + 16 = 0. Suppose r*s + s - 12 = 0. Solve 5*f = -16 + s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -37.099 and -5.3.\nAnswer: 196.6247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 32378.\nAnswer: 9713.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 820720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2313b (base 15) to base 10.\nAnswer: -111656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 200968 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 2. Suppose -3*v + 15 = -0*v. Suppose -v*n + d*n + 8 = 0. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l**2 - 5*l + 6. Suppose -5*q = -q - 224. Suppose -q = 3*c - 7*c - 3*x, -4*x = 2*c - 38. Let u(j) = -8*j**2 - 14*j + 17. Calculate c*o(f) - 4*u(f).\nAnswer: -f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 76*s + 532. Let n be z(-7). Let f(t) be the third derivative of 1\/12*t**4 + 0*t**3 + n*t + 0 - 9*t**2. Let j(u) = 6*u**2. Calculate j(f(d)).\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from nnnnnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b**2 + 4*b - 2. Let o be ((-1)\/((-2)\/(-10)))\/(59\/(-59)). Suppose 0 = -2*p + 3*p + o. Let j(l) = 3*l**2 + 3*l - 2. Give p*q(d) + 6*j(d).\nAnswer: -2*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 7*h + 167 = -5*r, 4*h = -2*r - 50. Let o = 15 - 1. Let q = o - r. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*9\/((-378)\/3)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + v**2 - v + 1. Let q(f) = -22*f**3 + 2*f**2 - f + 2. Determine 2*n(t) - q(t).\nAnswer: 20*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -207*r**3 - 11*r**2 + 10*r**2 - r + 5*r**2 - 12*r**2 - 3*r to y*r**2 + t*r**3 + i + m*r and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1318, 4305, 7288, 10267, 13242, 16213, 19180?\n\"Answer: -2*s**2 + 2993*s - 1673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3 + (2*sqrt(75) + sqrt(75))*1 + 0)*3*-6.\nAnswer: -270*sqrt(3) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 37. Let j = q + 33. Which is the biggest value? (a) 2 (b) j (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 49, -35, 64.\nAnswer: -35, -23, 49, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5417 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130400?\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19155 and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-8632)\/(-44) + 2\/(-11). Let y be (-49)\/(-42) + 2\/(-12). Let k be y - (-7)\/(q\/(-16)). What is the closest to -0.1 in 0.4, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -414 (base 6) in base 14?\nAnswer: -b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101032 (base 7) in base 5?\nAnswer: 1022143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12145 - -12125. Which is the closest to -2\/3? (a) 5 (b) -3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*i**5 - 143*i**4 - 2*i**3 + i**2 - 87*i - 15?\nAnswer: 420*i**2 - 3432*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/2, -0.1, -2, 2.8, 3\/19, 4.\nAnswer: -2, -0.1, 3\/19, 1\/2, 2, 2.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/106)\/(-2 - 0). Let t = z + 56\/159. Let d(g) = -g**3 + 9*g**2 + g - 12. Let k be d(9). Is k at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (3 + 6 + -15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 20 = 4*m, -4*m = -4*v + m + 25. Suppose -75 = -n + 2*j, -4*j = -n - v*j + 83. Which is greater: 66 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.15149 - -0.55149. What is the smallest value in -4, f, -2, 0.1, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/z**7)\/z*z)\/(z\/(z\/(((z\/(z\/z**(-1))*z*z)\/z)\/z))))**32*(z\/(z*z**(1\/4)))**(-3\/17)*z**1*(z*z**(2\/3)*z)\/z assuming z is positive.\nAnswer: z**(-25559\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b3 - 6?\nAnswer: -1b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s**2 - 2*s - 4. Let o(k) = -k**2 - k - 2. Let h(c) = 10*o(c) - 5*t(c). Let x(l) = 8*l. What is x(h(w))?\nAnswer: 40*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13, 2\/7, -5\/11, 0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/560 and 72\/245?\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*i**2\/4 - 96825*i\/4 + 145089\/2.\nAnswer: 3*(i - 3)*(11*i - 32242)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d. Let w(b) be the first derivative of 18*b**2 - 34. Calculate w(u(x)).\nAnswer: 72*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*j - w + 164 = -28*j, -2*j + 62 = 4*w. Suppose -11*y = -j*y + 2156. What is the remainder when y is divided by 53?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54386, 108489, 162592, 216695?\nAnswer: 270798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -90, -65, -40, -15, 10, 35?\n\"Answer: 25*o - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 158*d - 80*d + 1170 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3125808527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -26334 divided by 3?\nAnswer: -8778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/465, -1, 1\/4 in descending order.\nAnswer: 1\/4, -2\/465, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, o: 2, j: 15}. Give prob of sequence oj.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100100 (base 2) to base 6.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012724588225 to 6 dps.\nAnswer: 0.012725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l**3 + 29*l**2 - 4*l - 19. What is the hundreds digit of f(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5a2801 + 43?\nAnswer: -5a2769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i + 20*i + 0*i - 3*i to the form q + l*i and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1719837 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -97904 times -6?\nAnswer: 587424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/3 - 38*x**2 - 74*x - 110\/3.\nAnswer: -2*(x + 1)**2*(x + 55)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/5194?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -2. Suppose q = -4*s - f + 20, s = -s - 4*f + 10. Suppose 3*c = s*c - 10. Solve -3*t - 1 = -4, c*l + 12 = -3*t for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 0.4. Let v = 600.1037 - 0.1037. Let u = 591 - v. Sort -0.1, u, r in increasing order.\nAnswer: u, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 10 = 4*t, -60*l + 55*l + 5*t - 15 = 0. Which is smaller: l or -9\/1984?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1210885, 2421771, 3632657, 4843543, 6054429?\nAnswer: 7265315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126104306.\nAnswer: 2, 63052153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k**4 + 0*k**4 + 3*k**4)*(0 + 6 - 4) + (0*k - 2*k + k)*(-10*k**2 - 4*k**2 + 7*k**3 + 13*k**2) to f*k**4 + x*k**2 + r + l*k**3 + w*k and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*x - 2*l, -8 = -2*x - 4*l + 2*l. Which is the nearest to x? (a) 0.13 (b) -2\/11 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31310 + -31?\nAnswer: 31213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26773911 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49.52 + 47.02. What is the third biggest value in 0, m, 9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t - 56*t**3 + 0*t - 57*t**3.\nAnswer: -113*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -a8898 (base 13) in base 3?\nAnswer: -120110220211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-546)\/132 + -7 + 8 and -24\/5?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*s - 50, 5*l + 95 = -2*s + 3*s. Let r be (-5)\/(l\/(-8)) + -1 - -766. Suppose 6*m + m = r. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24845 is divided by 950.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 k when two letters picked without replacement from {k: 1, e: 2, a: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3147 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 7*w**3\/3 + 2*w**2 - 7*w + 2. Calculate the remainder when c(-4) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 300 + 4?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -13 - (0 + -31 - -2) - 6?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 545 + -532 + (0 - (-2 - 1))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 13560425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-2))\/3 + 47\/2. Suppose 3*w - 13 = b. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106277931 by -2083881.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4 = -2. Suppose -5*a - 6 = -1, -36 = -x*t + 2*a. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 19*h + 10. Is o(4) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 8270067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3*o + 45, 0 = 5*o - 0*o + 2*k - 59. Let t = o - 5. Let d be 13 + (5 - (3 - 0)). Solve -17 = -4*i + z + t, d = -3*z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319 - 3 = 4*k. List the prime factors of k.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4219552945 rounded to three decimal places?\nAnswer: 0.422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**7\/945 - r**5\/90 - r**4\/54 + 26*r**2. Determine f so that o(f) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 - 8*l + 14. Let z be t(-7). Let r = z - -28. Solve 5*w + r*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (428 + 397 + 172 + 246)*(-4*p**4 - p**4 + 2*p**4) to u*p + f + w*p**2 + j*p**4 + q*p**3 and give j.\nAnswer: -3729","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 19*l**2 - 5. Let t(r) = 46*r**2 - 12. Let f(h) = 5*t(h) - 12*x(h). Let a(z) = z + 56. Give f(a(o)).\nAnswer: 2*o**2 + 224*o + 6272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 791*r - 11697 = 234*r for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1319841\/80 - 16498. Let m be (0 - (-2 - -1)) + 0. Which is bigger: m or p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 708425 (base 9) to base 12\nAnswer: 182942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z. Let d(k) = 2*k**2 + 72*k. Calculate d(t(f)).\nAnswer: 2*f**2 - 72*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x. Let k be i(-5). Suppose s - 4 = k*s. Let h(t) = -21*t**3 + t. Let j be h(s). Solve -w - j = 3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84072251 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 3*u**2 - 3*u - 16*u + 5*u**2.\nAnswer: 2*u**2 - 20*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/88 and -97\/3278.\nAnswer: 13112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 13*o**3 - 44*o + 117. What is the thousands digit of c(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -917 times 0.08?\nAnswer: -73.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 544a (base 12) to base 15.\nAnswer: 2b34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44656184 to the power of 1\/3, to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -19, 3, -89, 1646 in increasing order.\nAnswer: -89, -19, 3, 5, 1646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**4*t**2 - 7276*d**4 + 21*d**2 - 2*d*t**2 + 5*d*t + d + 2*t + 54 wrt d.\nAnswer: 24*d**2*t**2 - 87312*d**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x - 6. Let i = 205 + -205. Let c(y) be the second derivative of i - 7*y - 1\/2*y**2. What is 6*c(s) - j(s)?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 187 = 215. Suppose -9*t + 827 = -u. Suppose 4*v - 24 = 40. Calculate the remainder when t is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2212 or 2211?\nAnswer: 2211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 622, 1242, 1862, 2482?\nAnswer: 3102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 3*q. Let k = -2 - q. Let y be (4\/40)\/((-1)\/14). Which is smaller: k or y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*n = w - 377, -4*w = -3*n + 1103. Does 40 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - -4) + -13 + -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 1)*(0 - 2 + 0) + 0 + 9 + 4)*(5*i - 6*i**4 - 3*i - 2*i**3 + 2*i**4).\nAnswer: -44*i**4 - 22*i**3 + 22*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -31\nAnswer: 15.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7722?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = n - 6*n. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 16805*u + 8182*u + 8580*u.\nAnswer: -43*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.033 - -4.967. Sort -0.4, 0.03, -1\/2, n.\nAnswer: -1\/2, -0.4, 0.03, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -10. Which is the smallest value? (a) 1\/3 (b) y (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 22*k - 22. Let z be p(5). Find the first derivative of z*y**2 + 63*y**2 + 108 - 13*y**2 wrt y.\nAnswer: 226*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**3 - 40*x**2 + 532*x - 2352 = 0?\nAnswer: 12, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 300899 - 383*m**2 - 300899.\nAnswer: -383*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i + i**2 + 3*i)*(-21853*i + 21853*i + 5827*i**2) in the form g*i**4 + q*i**2 + d*i + h + f*i**3 and give g.\nAnswer: 5827","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 782.\nAnswer: 3\/782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 56?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjbbjjjjbbjjjbjbbbb. What is prob of sequence bj?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 371196.89599743 - 371197.21. Let h = 307.686 - 308. Let z = p - h. Round z to seven decimal places.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r - 2620 = 5*r. Let h = r - 135. Let g = -14 - -13.7. What is the nearest to -0.2 in 3, g, h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 87*b**2 - 273*b + 39. Determine m(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 175*l**6 + 816811*l**3 - 328*l**2 - 17886 wrt l.\nAnswer: 21000*l**3 + 4900866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4409 a factor of 27090868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 2, -17, -1, -2 in decreasing order.\nAnswer: 13, 2, -1, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16.068 and -0.0086.\nAnswer: -0.1381848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*sqrt(77)*1)\/(sqrt(28)\/sqrt(16)).\nAnswer: 3 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 - -58 - (1 + -549) a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 equal to 4984?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -9, 48, 1, 1\/3, 0 in descending order.\nAnswer: 48, 1, 1\/3, 0, -3\/2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/1011096 and -77\/1116.\nAnswer: 1011096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((1*(sqrt(95) - 3*(sqrt(95) + 2*sqrt(95) - sqrt(95))))\/((sqrt(600)\/(sqrt(10)*4))\/sqrt(12)))**2.\nAnswer: 7598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1067 + -1227.8. Let m = -175 - v. Let t = -18 - m. What is t rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36135, 36112, 36073, 36018, 35947, 35860?\nAnswer: 35757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3 - 3*s**2 - 2034547*s - 2*s**6 + 1017270*s + 1017258*s + s**5 + 179*s**4 wrt s?\nAnswer: -240*s**3 + 60*s**2 + 4296*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 w, 1 d, and 1 o when four letters picked without replacement from dwcowccwcchcwhcdcw.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20.73 - 20.33. Which is the second smallest value? (a) -15 (b) -1 (c) t (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -66, -114, -162, -210, -258, -306?\n\"Answer: -48*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66349131, -66349130, -66349129?\nAnswer: -66349128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*z + 21 - 60 + 22 wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (382 - 372) + (89790\/(-4479))\/2 and -83\/8?\nAnswer: 11944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 2998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 142 + 6?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325391586?\nAnswer: 2, 3, 13, 320899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9.4, 3\/7, -1, -11\/13?\nAnswer: -11\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 58193608?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14749\/(-686)*(-4)\/3*(-12)\/8?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 172 + -171. Let n = -0.1 - 0.1. Which is the third smallest value? (a) 3 (b) p (c) 0.2 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.598 rounded to one decimal place?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*h = -h, 0 = 3*h. Suppose 3*r + o + 41 = f, 4 - 1 = -r + 5*o. Let n = r - -90. What is the greatest common factor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -22*(-5)\/520 + (-1)\/(-4). Suppose 2*z + 2 = 2*s - 0*z, 3 = -s - 3*z. Are k and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6540 + 13079 + 359*w - 6539 to the form j*w + c and give j.\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 73818434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8993 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9065, -9067, -9081, -9113, -9169, -9255, -9377, -9541?\n\"Answer: -u**3 + 5*u - 9069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 61465.02 nanograms?\nAnswer: 61.46502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 4:47 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r - 3*r + 4*r)*(-9 - 5 + 3)*(4 + 2 - 4)*(4 - 2 + 1) as n*r + a and give n.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o**2*r + 8111405*o*r + 30971652*r with respect to o.\nAnswer: 4*o*r + 8111405*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-2)*6\/4. Let d be (-276)\/(-18) + (-2)\/s. Find the common denominator of 21\/5 and d\/3*3\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1159 - 875. List the prime factors of x.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10081763 divided by -509?\nAnswer: -19807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/7*(-350)\/200*6*27\/27.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.037 + 3.863. Let v = r - 6.9. Let n = 14 - 10. What is the third smallest value in -0.3, n, v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191222971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 3*k**2 - 3*k + 7. Determine h(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/2 - 8*c**3 - 9*c**2 + 8*c + 17\/2.\nAnswer: (c - 17)*(c - 1)*(c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, -0.3, 176952, -0.2, 0.01?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5467 and 142?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujmmlmvmlm. Give prob of picking 1 j and 1 m.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/((m\/(m\/(m\/((m**(-4)*m)\/m)*m)))\/m*m)))**(-14)*m**(-2\/23)*m*m\/m**(-4\/9)*m assuming m is positive.\nAnswer: m**(-13795\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -512412 (base 7) to base 6.\nAnswer: -1512143","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 3122.3556 seconds?\nAnswer: 0.036138375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 5*o**2 + 5*o - 62. Let u be x(6). Solve -8 = 5*s - 5*n + 37, -16 = u*s + n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 604155049 to the nearest integer?\nAnswer: 24580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 253 = -3*n + 133 + 138 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -w + 18. Let a(d) = d - 7. List the prime factors of a(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 + 4*d - 4. Let q(c) = c**2 + 9*c - 7. Determine 5*g(i) - 3*q(i).\nAnswer: 7*i**2 - 7*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7532 - 7546 = -2*s + 2*w, 5*s + 19 = -4*w. Let r(m) = m**3 + m**2 + m. Let l(f) = 63*f**3 + 4*f**2 + 4*f. What is s*l(n) - 4*r(n)?\nAnswer: 59*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 + (-5 - -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -43, -588, -2079, -4990, -9795?\n\"Answer: -79*t**3 + t**2 + 5*t + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 15. Let q = 2 + j. What is the third biggest value in -2\/7, q, 3\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 14*w - 36. Determine c(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2184 divided by -3?\nAnswer: -728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -20, -53, -104, -179, -284, -425?\nAnswer: -608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 40\/6 + 4\/(-6). Let w = 8 - g. Let m(h) be the first derivative of h**3 - 3*h**2\/2 + 1. Give m(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of k**5\/5 - k**4\/4 + 10*k**3\/3 + 2*k**2 + 143*k. What is the second derivative of n(x) wrt x?\nAnswer: 24*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0365 - 448874288.\nAnswer: -448874287.9635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 0.434, -13, 670 in descending order.\nAnswer: 670, 0.434, 1\/5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 446*m**4 + 2*m**3 + m**2 + 11121*m wrt m?\nAnswer: 5352*m**2 + 12*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 125712.\nAnswer: -7\/125712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**5 - 98980*w**4 - 296974*w**3 + 791864*w**2 + 1187864*w - 1583776 = 0.\nAnswer: -4, -2, 1, 2, 49493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1625, 6494, 14543, 25718, 39965, 57230, 77459, 100598?\nAnswer: 126593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 608.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1326 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 100390229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 3*z + c = 328, 5*c + 10 = 0. Is 22 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((10*f - 16*f - 15*f)*(3 - 1 + 1) + 0*f + 1 + 2*f + 1)*(4 + 8 - 13).\nAnswer: 61*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k. Let i(a) = -114*a. Determine i(m(s)).\nAnswer: 228*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**12\/j*j*j\/(j**(-19)\/j))\/(j\/(j\/(j\/(j*j\/(j*j\/j**17)))))**(-5\/2))**(-42) assuming j is positive.\nAnswer: j**294","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000144964 rounded to 7 dps?\nAnswer: -0.0000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19850559 and 1608.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*d + 10. Suppose -2*g - d = g. Sort 2, g, 5 in decreasing order.\nAnswer: 5, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-3)*(-1 + 0)*(177 - (95 + 80))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 1 + (6 - 4 + 0)*(0 - 1 + 0) + 0 + 4 - 3 - 5 + 1 + 2)*(5*d**2 - 2*d**2 - d**2)*(-2*d - 3*d + 4*d) to m*d**3 + c*d**2 + k*d + o and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20799397 to the power of 1\/3, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 i when four letters picked without replacement from mddimmimimimmi?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2880\/105*(-15)\/120*-14?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence un when two letters picked without replacement from qtmnqniuttq.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.57 times -2?\nAnswer: -1.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -638687 - -638682. Let z be (-48 - 2)*(-13)\/2. Suppose w = 6*w + z. Sort a, 1\/4, 0.4, w in ascending order.\nAnswer: w, a, 1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 1263 (c) -1 (d) -1\/5 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 38*m - 932. What is j(19)?\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.09, 1\/9, -1\/3, 0.02, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 2*i - 684 - 921, 5*i - 1593 = -j. List the prime factors of j.\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/8 + 18\/4. Suppose v = 3*o - o. Suppose -o = m - 9. Put m, 3, 1 in ascending order.\nAnswer: 1, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50252 + -49845. Suppose t - 4*x - 15 = 0, -5 - 46 = -5*t - 4*x. Calculate the greatest common factor of n and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44747164.068086 + 91648953.0680883. Let k = p + -46901758. Let q = k + -31. What is q rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 232 - 227. What is the second smallest value in -2\/5, 3, h, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (-1872)\/(-180))\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 3)*(-7 + 2 + 3) - 4 - 1 + 3)*(9*f**2 + 13*f**4 - 9*f**2).\nAnswer: -78*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 3*u + 10, 2*p + 2*u = -3*p + 14. Let k be 20\/(-25)*(-5)\/p. Let w(h) = -10*h + 3*h + h**k + 0*h**2 + 7. Calculate w(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 6*r - 82. Calculate w(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1809320, -3618641, -5427962, -7237283?\n\"Answer: -1809321*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3633737*v**5 - 48*v**2 - v + 2114 wrt v?\nAnswer: 218024220*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 373 + -193. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -25*n**3 + 2*n**2 + 12*n**3 - n**2 + 1 - 2. Calculate b(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*d + 3211 = 3261 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -14*a**2 - 102*a - 5. What is m(7)?\nAnswer: -1405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 1. Let h be l(6). Suppose h*k - 40 = k. Let f = k + -5. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 314*z**3 + 26689*z**2 - 250*z - 14015. Determine i(-85).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*t + 4*j, 4*t - j = -0*t - 4. Let s be t\/(-2) + 2 - (-13099990 + -7). Round s to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2344421?\nAnswer: 41, 211, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 6*v + 2. Let q be n(-5). Let c(r) = r**3 + 2*r**2 - r + 2. Let y be c(q). What is the units digit of y\/(1 - 5)*23?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 254.9, -0.02, -1\/2, 601?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 9*o - 25. Suppose -2*r - 72 = -o*u, r + 0 = -3*u + 41. What is the greatest common divisor of 16 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1480, -3260, -5050, -6856, -8684, -10540, -12430?\n\"Answer: -y**3 + y**2 - 1776*y + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 53*c - 1. Let s be b(1). Suppose -3*w + 15*a - 20*a + 205 = 0, -w = -3*a - 59. Calculate the greatest common divisor of w and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -244*x + 206*x - 1026 for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -546*g - 58*g + 40468 = 0 for g.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -196\/5 (b) 604 (c) 0.1 (d) 4\/7 (e) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28531 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -912316 - -235.\nAnswer: -912081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from znznzjnzzzjnzz.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 2:45 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 5*p**2 + p. Let n be 14\/3 - (-1)\/3. Calculate the remainder when 9 is divided by u(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16995391 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: Find the third derivative of -3*n**2 + 17*n**3 - 17*n**4 - 17*n**3 wrt n.\nAnswer: -408*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -14*f - 9. Let b = -76 + 74. Let h be p(b). Let t(s) = 39*s**2 + s. Let c be t(-1). Calculate the highest common divisor of h and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2. Suppose 2*c = 2 + 4. Let y(o) = -2 + 4*o + 2 - c*o. What is y(w(p))?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-157315)\/2 + (-2)\/4. Let p be (d\/(-4))\/(-1 + 6). Let x = 3928 - p. Find the common denominator of x and -25.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/(i\/i**3))\/i)\/(i*i**(4\/9))*(i*(i\/(i**(-2\/11)*i))\/i)\/(i\/i**7) assuming i is positive.\nAnswer: i**(766\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4030.152*51\nAnswer: 205537.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 15, -119 = -4*t + 20*w - 25*w. Solve t - 31 = -q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 309761.3 decades?\nAnswer: 3097613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 9 + -3 - 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from apuqkpma.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62.1*0.3688.\nAnswer: 22.90248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 5. Suppose -2*x = -3*d + 3*x + 68, -28 = -2*d - x. Let b(f) = -16*f + 219. Let n be b(13). Let w = d - n. Determine q(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305273808 divided by -144?\nAnswer: -2119957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -122597\/12 + 10222. Calculate the common denominator of k and ((-43)\/(-14))\/((-18)\/(-21) + 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a - 3*c = -13*a - 60226, -5*c = 5*a - 75280. Are 15058 and a unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2248268299 to the nearest integer?\nAnswer: 1310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z + 17084 - 8545 - 8539.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -105, -281, -593, -1047, -1649, -2405?\n\"Answer: -a**3 - 62*a**2 + 17*a - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j - j + j + 5*j. Suppose 5 = 5*p - 0. Suppose 0 = f - 0 - p. Calculate r(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 252, 524, 912, 1422, 2060?\nAnswer: 2832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-2*(sqrt(78) - (sqrt(78) + sqrt(78)*1)))\/(sqrt(6) + sqrt(216)) - (-1 + 1 + ((sqrt(117) + sqrt(117) + 1 + sqrt(117))**2 - sqrt(117)))).\nAnswer: -1053 - 103*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y - 1. Give s(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1275816*i - 2194 + 2194.\nAnswer: 1275816*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 106 = -5*a. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 609 = 11*g. Let j = 310 - g. Calculate the remainder when j is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.53986683 * -0.2.\nAnswer: 2.107973366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -28, -18, 4, 44, 108, 202, 332?\nAnswer: 504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2227327*-5\nAnswer: -1.1136635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 3:39 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(72) + -5 + sqrt(2) + -1)**2 + 3 + -4*(sqrt(2)*2)**2 + (-5 + sqrt(6)\/sqrt(3) + 5 - -4*(sqrt(72))**2).\nAnswer: 61*sqrt(2) + 345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, b: 1, h: 5, x: 5, d: 1}. Give prob of picking 1 x and 1 g.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**5 + 18284*w**4\/5 + 72*w**3 - 329112*w**2\/5 - 324*w + 1481004\/5 = 0. Calculate w.\nAnswer: -3, 3, 4571\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, j: 7, e: 2, l: 1, h: 4}. Give prob of sequence lh.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -5*s - 102. Let w = s - -71. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -15. Suppose -4*o = -g*h + 2936, 2*o + 0*o - 982 = -h. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -1, 0.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -4. Suppose 0 = 3*c + 2*w - 0 - 13, 0 = 2*c + u*w - 5. Suppose 0 = o - c*b - 0*b + 24, -4*o - 2*b = -14. Is o at most as big as -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 111\/134 - -1\/201. Let u(o) be the third derivative of -b*o**3 - 5\/12*o**4 - 7*o**2 + 0 + 0*o. Differentiate u(r) with respect to r.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 154*o**3 + 150*o wrt o.\nAnswer: 924*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -42514, -43098, -43680, -44260, -44838?\n\"Answer: n**2 - 587*n - 41928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5379610 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 11, q: 2}. What is prob of sequence bbq?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3586 + 1195 + 1193 - 151*n**2 + 1198.\nAnswer: -151*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2. Let t(m) = -6*m + 1225. Give t(c(z)).\nAnswer: 12*z**2 + 1225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -8*a - 5. Let l(q) = -4*q - 3. Let z = -25085 - -25090. Calculate z*l(o) - 2*f(o).\nAnswer: -4*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 196080 to the power of 1\/2, to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/17, 3\/5, 6, -1 in decreasing order.\nAnswer: 6, 3\/5, 10\/17, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 273 + -189. Suppose 16*h - 13*h - q = 0. Is h a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -191*(-80)\/91680*1\/3.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 5, 7, -138\/43?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -6 + 31\/(-2))*(-6)\/(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -765*r**2 - 36*r + 34. What is x(1)?\nAnswer: -767","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 3*w - 3*w)*(-3*w + 3*w - 5*w).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 350651 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -396047 by -6.\nAnswer: 396047\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -121, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222 = 16*q + 483 - 69 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -161 - -161. Let k(p) be the first derivative of -1\/10*p**6 + 0*p**2 + 6\/25*p**5 + z*p - 3 + 0*p**3 - 3\/20*p**4. Factor k(q).\nAnswer: -3*q**3*(q - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10961*c*h - 7987*h wrt c?\nAnswer: 10961*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g**3 - 2*g + 1. Let a be r(1). Let h(s) = a*s - 5*s + 4*s - 1. What is the units digit of h(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by (-13)\/52*(-36)\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 3. Suppose 3*x - p*c + 5*c - 51 = 0, -3*x = 3*c - 51. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((-3)\/(-15)*1). Suppose -5*v - 15 = -3*o, w*v + 6 - 1 = o. Suppose 3*q = 3*t + 51, 3 = o*q + t - 64. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v - 8. Let b be u(5). Let f be (5 - b) + (5*2 - 1). Calculate the greatest common factor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 - p**3 + 0*p**3)*(6*p - 10*p - 11*p) - 2*p**4 + 4*p**4 - 3*p**4 + (-1 + 1 - 1)*(2*p**4 + p**4 - 2*p**4) + 5*p**2 - 3*p**4 - 5*p**2.\nAnswer: 25*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15258 = 168*p - 6600 - 5358. What is the lowest common multiple of p and 720?\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 82?\nAnswer: 3\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 84?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 23.85959?\nAnswer: 19.85959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9570 >= 668?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 7\/(-2))\/((-4)\/(-8)). Let f be (-15)\/s - -1 - -6. Which is the second smallest value? (a) f (b) -7 (c) -2 (d) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/10*5\/(-2). Solve -s*q + 2 = 22 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 1 + 0)*(-2646)\/(-490) + 6. What is the closest to -1\/26 in 1, 0.5, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ejjjjjjjejjj. What is prob of sequence eej?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21989307049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 3*n**2 + 3. Let f = 49 - 52. Give m(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*p**2*r + 9*p**2 + 242*p*r + 3*p wrt p.\nAnswer: -32*r + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (65\/1170)\/((-2)\/(-18)). Find v, given that -3\/2*v + 0 - v**2 + r*v**3 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 3*y + 2*l - 64, -3*l = -5*y + 125. Suppose 14*r = 7*r + y. Determine h so that 1\/2 + 7\/2*h**2 - h**3 - r*h**4 + 11\/4*h - 7\/4*h**5 = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 595 is divided by 185?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 5*r**2 + 65*r - 20. Determine i(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24.939362*-11.\nAnswer: 274.332982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + z**2 + 0*z**2 - 5*z**2 + 3*z**3 - 5 - 5*z. Let v(h) = h**3 - h**2 - h - 1. Give -t(q) + 5*v(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 126 - 351 = 0. Suppose -q + t = 2*q. Suppose -q = -3*o + 9. What is the highest common factor of o and 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**2 + 1. Let p(x) = 38*x**2 - 11. Determine 5*m(n) + p(n).\nAnswer: 28*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 0.036.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p - 7. Let m(k) be the first derivative of 48 - 9\/2*k**2 - 13*k. Suppose 6 = -2*l - 2*x - 10, 2*l - 5*x = -2. Calculate l*m(z) + 11*q(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 14 = -130. Let x = q - 31\/2. Which is the closest to x? (a) 0.1 (b) 6 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from nnncnccccncnnc?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390100 is divided by 78001.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1498 + -1728.6. Let i = p - -231. Sort i, 2\/15, -1\/2, -0.4 in increasing order.\nAnswer: -1\/2, -0.4, 2\/15, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -82729 and 284.5941?\nAnswer: 83013.5941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 361*w**4 - 1286186*w**3 + 1069168501*w**2 + 136191257004*w + 4047604801956.\nAnswer: (w - 1839)**2*(19*w + 1094)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7268777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 13. Sort v, -2, 3 in descending order.\nAnswer: v, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15819 + -15772. Is p > 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 7300?\nAnswer: 14600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -116 - -115. What is the third biggest value in j, 4\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7983923\/6 - -43621379\/33. Let z = y + 8790. Calculate the common denominator of 37\/8 and z.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -104, -211, -318?\n\"Answer: -107*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*p - 180*p + 5*p**3 + 352*p.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-1)*103\/2. Suppose 67*s + 31*s = -588. Does 16 divide (-1)\/((s\/(-12))\/(t\/(-2)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 5*r + 308 = -15*r for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8344 and -0.05?\nAnswer: 8343.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -4*q + 282. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**4 + 3*i**2 + 6*i + i**3 - 2*i - 5*i to m*i + k*i**3 + v*i**4 + w*i**2 + q and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19\/2 - 10. Let w = 4.931 - -0.069. Let p = 1\/8 + 3\/8. Which is the closest to p? (a) q (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 20160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 240409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 343123 by -157.\nAnswer: -343123\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t. Let p(l) = 1. Let g(f) = -b(f) + 6*p(f). Determine g(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (43 + 59 + -45)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -26.5 times 2\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 - 38. Is -4*(67268\/(-80) - y\/10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7.7, -2, -1, 0.001, 5\/4.\nAnswer: -2, -1, 0.001, 5\/4, 2, 7.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23720 is divided by 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 2800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 12:49 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**5\/10 + h**2. Let u(m) = -24*m + 3*m**2 - 30*m + 85*m - 31*m. Calculate p(u(i)).\nAnswer: -54*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of ((-12793)\/(-33))\/(((-2)\/(-3))\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1231444\/1213 or 1015?\nAnswer: 1231444\/1213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 7*q**4 + 158*q**3 + 840*q**2 + 1234*q + 545 = 0.\nAnswer: -109\/7, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*r - 2*r + 0*r)*(0*r + 5*r - 3*r) + 2*r**2 + 0*r**2 + 0*r**2)*(4 - 1 - 4).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-76)\/57)\/(-4 - -12 - (-429)\/(-54)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 0*w + 4*w - 4*w = 4*w + 16, 9*w = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 4*h - 12 = 0. Let r(x) = 3*x**3 - 2*x**2 + x. Let a be r(1). Solve -h*f = -a*f - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, s: 3}. What is prob of sequence sese?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) -99 (c) 0.13 (d) -46\/5 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -2*w**3\/21 + 15*w**2\/7 + 6. What is s in b(s) = 0?\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -9*k + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and -10902523?\nAnswer: 10902523.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1443 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: Suppose 4*g = 5*g. Calculate the remainder when 28 + (0 - g - -1) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/91 - -89\/182. Let r = -4 - 0. Which is the nearest to x? (a) -0.4 (b) r (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10.696 in 5, 353, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 15*j - 5. Let y(i) = 26*i - 7. Let r(k) = 51*k - 14. Let d(h) = 4*r(h) - 7*y(h). Determine 5*d(m) - 7*u(m).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (6\/(-10))\/1. Let s = -2\/28151 - -84593\/1970570. Put -2, s, v in descending order.\nAnswer: v, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -18, -21?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 7304516?\nAnswer: -1\/1826129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*g**3*s + 2193758*g*s - 314*s - 3556 wrt g?\nAnswer: 6*g**2*s + 2193758*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (230 - 10*s - 230)*(-s**2 - 4*s**2 + 6*s**2) + 229*s**2 - 229*s**2 + 61*s**3.\nAnswer: 51*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -83*j**3 - 2*j**2 + 2*j + 2. Let n(h) = -10044*h**3 - 243*h**2 + 243*h + 243. Suppose -111*r - 25*r + 35*r = -202. Determine r*n(m) - 243*d(m).\nAnswer: 81*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/3)\/((-65)\/52 + 0)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = g + 3, -3*g - 4*u - 1 = -2. Calculate the highest common factor of g and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v**2 - 4*v - 3. Let m = -6129 - -6133. What is k(m)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88 or -4277?\nAnswer: -4277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 1354\nAnswer: 1\/1354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + 2*h**2 - h**2)*(-22*h**2 - 14*h**2 + 13*h**2).\nAnswer: 46*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/3, -32\/7, 4\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -42188536 divided by -104?\nAnswer: 405659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3688 or 1?\nAnswer: 1\/3688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119 + 8*a - 27 + 21 - 69.\nAnswer: 8*a - 194","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/(-42) - 9036\/3360 and 11\/2880?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 61 - 4*r - 61 - 2*r**3 - 3*r**2 as u*r + p*r**3 + s + c*r**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + 27. Suppose -x*t + 36 = -34*t. Calculate the highest common factor of t and 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -772\/3 or -256?\nAnswer: -772\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.621568902 to 4 dps.\nAnswer: -19.6216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 + 0*u + 0*u + (0*u**2 + 0*u**2 - 2*u**2)*(u - u + u))*(-2 + 0 + 4).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -62*l**2 - 4*l + 4. What is q(1)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -34210*n**4 + 2*n**3 - 2*n - 1664105?\nAnswer: -136840*n**3 + 6*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 23 - 40 = 2*p, 0 = -4*i - 3*p + 9. Let g(r) = -4*r - 1. Let b(k) = -3*k - 1. Give i*b(z) - 2*g(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4806216 is divided by 776?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-387)\/(-12) + (-2)\/8. What is the units digit of (5 + y)*(-4)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 29 (b) -4 (c) -3330\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*d + 2*i, -3*d + 6*d - 20 = -5*i for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 i when two letters picked without replacement from {b: 1, o: 5, i: 3, t: 4, m: 1, g: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 35*k**3 - 11*k**2 - 11*k + 9. Let j(x) = -18*x**3 + 5*x**2 + 5*x - 4. Calculate 4*b(v) + 9*j(v).\nAnswer: -22*v**3 + v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1484 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*0.0567515\nAnswer: 0.00113503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99933562?\nAnswer: 2, 47, 1063123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 r when two letters picked without replacement from frttfkfttfftfw.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 5:40 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -322 by 46.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -7*h**6\/6 - h**2\/2 + 6*h + 51. Find the second derivative of r(t) wrt t.\nAnswer: -140*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17026330, 17026353, 17026376, 17026399, 17026422?\nAnswer: 17026445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(11\/2)\/s*s**22\/s*(s\/s**5)\/(s**(-3\/17)*s*s))**(4\/7) assuming s is positive.\nAnswer: s**(1338\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-12))\/(1\/(-6)). Suppose -o - a*d = -5*d - 48, 5*o = -5*d + 280. Calculate the highest common divisor of 36 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.18 - -1.097. Let n = -2 + 1.88. Let b = q - n. Round b to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2886069 to the nearest integer?\nAnswer: 1699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((638\/(-55))\/29)\/((-2)\/2135). What is the highest common divisor of 14 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3825 and 41565.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 261 + -263. Which is the third smallest value? (a) f (b) 4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, b: 8, m: 8, z: 1}. What is prob of sequence mmh?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t. Let b(m) = m**2 - 66*m. Calculate y(b(c)).\nAnswer: -2*c**2 + 132*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 - 670850633.58\nAnswer: -670850632.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7946 is divided by 2617?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9531094 to the power of 1\/2, to the nearest integer?\nAnswer: 3087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 10:04 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 1146*a = -1147*a, -a + 15 = 8*g. Factor -288*c - 384 - 3\/2*c**4 - 6*c**2 + 18*c**g.\nAnswer: -3*(c - 8)**2*(c + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 - 30. Let u be (-1)\/h - ((-35)\/15)\/7. Suppose u = 2*c + 2 - 26. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -144000440?\nAnswer: 144000443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 54 - 74. Let i(u) = u + 18. Let p be i(-16). Calculate the greatest common divisor of q and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ggglggdglgldld.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 divided by -1.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/30)\/((-11)\/(-40)*(-90)\/(-165)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/5, -0.5, -1, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 276880095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 711*v - 2. Let q(j) = -3910*j + 11. Let s(f) = -22*h(f) - 4*q(f). Let w(x) = 3*x**2 + 0*x**2 + 3*x - 13*x**2. Determine s(w(a)).\nAnswer: 20*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, g: 7, u: 2}. What is prob of picking 2 u and 1 o?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3442 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.69 - -33.69. Let g = 31.61 - l. What is g rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*v - 6 - 34, 3*v - 2*a - 31 = 0. Let x(h) = 3*h + 68. Calculate the lowest common multiple of v and x(-21).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1115?\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 3*u**5 - 1 - 2*u + 9*u - 5*u**5. Differentiate o(c) with respect to c.\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74492918 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qs when two letters picked without replacement from {q: 2, u: 2, s: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -n - 2*l, -2*l = 11 - 3. What is the units digit of n + (-1 - -1 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -114.8 + 1.8. Let b = k + 79. Let t = -34.0027 - b. Round t to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 128*g - 2*g**2 + 127*g + 26)*(-5 - g + 5)*(4 - 2 + 3).\nAnswer: 10*g**3 + 5*g**2 - 80*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45.625585*-0.2.\nAnswer: -9.125117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -558498 - -6765?\nAnswer: -551733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-3 + 4)*4\/(-3). Solve -z*o + 2 = 18 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 15*b**3 + 18*b**2 + 25*b - 18. Let i be j(-14). What is i rounded to the nearest one thousand?\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1)*n)**22)**(-1\/7)*((((n*n**(-6\/7)*n)\/n)\/n)\/(n*n**(6\/7)))**(-3\/37) assuming n is positive.\nAnswer: n**(-2385\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1432 and 2327.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = -193*m + 209*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54780196.\nAnswer: 2, 61, 347, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 18 = -n. Calculate the smallest common multiple of (-2)\/(-6) + 50\/30 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 58146843 and -569.\nAnswer: 58146274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 263280564 divided by -177174?\nAnswer: -1486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4305 = 442*p - 155*p for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04 + -6.04. Let x = d + 5.7. Let y = 0.1 + x. What is the nearest to -0.1 in -2, y, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -30d0 - 8?\nAnswer: -30d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**47\/s**(-10))**18 assuming s is positive.\nAnswer: s**1026","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -351000 rounded to the nearest ten thousand?\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*m**3*y**2 - 5*m**3*y + m**2*y - 19*m**2 + 453*m*y**3 + 3*m*y - 160*y**3 - 2*y**2 - 144*y wrt y?\nAnswer: 8*m**3 + 2718*m*y - 960*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -516257917054465.6999837 + 516258073512001. Let l = -156457525 + z. Let j = -10.3 + l. Round j to six dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(600)*2)\/sqrt(10))\/(-2*((sqrt(108)\/sqrt(3))\/sqrt(3) + sqrt(12))).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.4*14.\nAnswer: -75.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 10*a + 1. Let f be q(8). Let z(v) = 5*v - 20. Let o be z(5). List the prime factors of (-6)\/f*o*11.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-16))\/(4\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30347901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, c: 5, j: 4, z: 4, i: 4, b: 2}. What is prob of picking 1 j, 1 c, and 2 z?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*w = w + 4267440. Suppose 12*t - 33198 = w. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 6*t**2 + 6*t + 4. Let y be j(5). Suppose 13*v = y*v + 8. Factor 2*s - 2*s**3 + 2*s**2 + 2 + 2 - 9*s**v + 3*s**2.\nAnswer: -2*(s - 1)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*f = -2*n + 44, -n + 36 = f. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-30)\/4 - -6)\/((-3)\/7328).\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 4*y + y)*(4*y**2 + 3*y**3 - 4*y**2) - 5*y**4 + 0*y**4 + 3*y**4 + (-y**3 - y**2 + y**2)*(-13*y + 63 - 63) - y**4 + y**4 - 2*y**4.\nAnswer: 15*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 l when two letters picked without replacement from tlxxxzlpxtzzlpxp.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 15*z**2 - 997*z + 2363. Calculate u(64).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 g when four letters picked without replacement from gggngnn?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(4*6\/16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o + 5. Let v(y) = -2 + 3*y + 5 - 4*y. Suppose 3*g + 5 - 20 = 0. Calculate g*v(f) - 3*q(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1138 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.277282*-51.\nAnswer: -14.141382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 9 + 1. Solve v*p + 6 + 4 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -11*n + 3. Let d(f) = -f - 6. Let t be d(-4). What is the units digit of x(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -1\/60*r**5 + 0 + 0*r**4 + 0*r + 0*r**3 + 57*r**2. Let t(l) = 6*l**2. Give t(f(h)).\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 6*b = 0. Let v be (b + -6)*(-4)\/6. Solve -3*j - 1 = 2, -3*j + 1 = -v*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113129668417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7429 - 7429 + 1068*q to f*q + d and give f.\nAnswer: 1068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 1645?\nAnswer: 1\/1645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171359.\nAnswer: 349, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 81531927?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from oomjqqjmoo.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -42c87 - 5?\nAnswer: -42c8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 430.60643 - -123.44787. Let b = -554 + z. Let j = b - 0.057. What is j rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3850*b. Let d(t) = 31*t**2 - 5*t - 9. What is d(r(s))?\nAnswer: 459497500*s**2 - 19250*s - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -11) + -10 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = n - 8, 3*n + 2*p - 13 = 8 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -62*t + 167. Determine d(-7).\nAnswer: 601","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**3 - 5*k**2 + 13*k - 5. Let x(l) = -l**3 - 3*l**2 + 6*l - 2. Let b(q) = -2*j(q) + 5*x(q). Let s be b(4). Sort -2, s, -11, -5 in ascending order.\nAnswer: -11, -5, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*y - 34, -35*y = -30*y + 4*x + 109. Suppose 3*r + 5*h = 1722, -4 - 5 = 3*h. Let d = r + y. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 10*k + 13. Let h(c) = -7*c - 9. Let y(w) = 7*h(w) + 5*s(w). Give y(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*b - 536 = 4*b, -5*a = b - 1373. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2425, 9719, 21877, 38899, 60785?\n\"Answer: 2432*m**2 - 2*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 21 = 4*o + 34, -93*a = 63*o - 90*a + 639 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77\/3 - -26. Which is the closest to -3? (a) -9 (b) u (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 2:20 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 31989204 to the power of 1\/4, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**3\/6 + 712474*d**2\/3 + 8549769*d\/2 + 19237041 = 0.\nAnswer: -9, 1424966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/12460 and -41\/123957064?\nAnswer: 619785320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03024579 to three decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 10:37 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 5*j - 47 = 0, 50891*h + 9*j = 50886*h + 13 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u + 2. Let p be j(0). Let y be p\/8 + (-45)\/(-12). Suppose y*q - 4*n - 32 = 0, -2*q + 3*n + 17 = -4. Solve 5*r - v = -7 + q, r = 4*v - 16 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1744274 to the power of 1\/2, to the nearest integer?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11026 - 6*f**2 + 11026 - 29*f + (0*f + f**2 + 0*f)*(-5 - 1 + 4).\nAnswer: -8*f**2 - 29*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + d - 3*d = -8, -5*z + 16 = 2*d. Suppose 0 = 4*j + 5*w - 187, 0*w - z*w + 236 = 5*j. Let y = -25 + j. What are the prime factors of y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3450, 6896, 10340, 13782, 17222, 20660?\n\"Answer: -f**2 + 3449*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(1573)) + -4*(1*sqrt(1573))**2.\nAnswer: -6292 - 66*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*i + 14*i + 68*i + 2797 + 531 for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31404419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.91551 tonnes to milligrams.\nAnswer: 64915510000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -225 (base 9) to base 13.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25428337 to the nearest integer?\nAnswer: 5043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 + -29. Let b = c - -80. Sort 2\/15, b, 0.1, 5\/2 in increasing order.\nAnswer: b, 0.1, 2\/15, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 96 + 83 + 158)*(-6*n + 8*n - 5*n)*(0*n - 2*n + 3*n) as c*n**2 + j + k*n and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - -20 - (1 + 1 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, w: 1, z: 6, l: 8, h: 2, x: 1}. What is prob of sequence hth?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33389 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/79 - -306\/395. Let x(w) be the second derivative of 1\/30*w**4 + 4\/15*w**3 + w + h*w**2 + 0. Find o such that x(o) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/9))**12\/(m*m\/((m*m**(1\/3)\/m)\/m))**(2\/105)*m**(-2\/7)*m**(-5\/3)\/m*(m*m*m**7*m)\/m**(1\/6) assuming m is positive.\nAnswer: m**(2623\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*a**4 + 2*a**4 + 29*a + 1 - a**3 - 5*a**4 + 12*a**4 as o*a**4 + l*a**3 + m*a**2 + h + q*a and give q.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*a = -38, -2*i - 3*a + 4 = -3*i. Let q(j) = 16*j**2 + 5*j + 5. Let d(l) = -5*l**2 + l - 1. Let z(o) = 3*d(o) + q(o). Give z(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/10 - 222\/(-15) is divided by 30\/45*(20\/(-35))\/((-10)\/315)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*10593.\nAnswer: -1059.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 84243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2371 (base 10) in base 9?\nAnswer: 3224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -155 - 9*a + 155 + 7*a. Let h(r) be the second derivative of -7*r**4\/6 + r. What is h(t(c))?\nAnswer: -56*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.468333 litres to millilitres.\nAnswer: 2468.333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -713021 (base 9) to base 12.\nAnswer: -18433a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 5 + 11*h**2 - 4 - 4.\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 1\/12*s**5 + 0 + 0*s**3 + 1\/8*s**4 - 6*s**2 + 0*s. What is the second derivative of m(v) wrt v?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.66704 millilitres to litres.\nAnswer: 0.05566704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k + 2*k)*(14 + k**2 - 135*k + 134*k - 8).\nAnswer: 2*k**3 - 2*k**2 + 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -721\/5, 6982, 4?\nAnswer: -721\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 4*v + 117 = -32*c - 47, -8*c - 4*c + 5*v - 65 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/2)\/((-50)\/(-70)*7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k + 2*o + 8, 2*k + 4 = 266*o - 263*o for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*k = 3*o, -4*o + 35 = 3*k. What is the derivative of -o*z**3 - 8 - 5*z**3 - 5*z**3 wrt z?\nAnswer: -45*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10740 + 18179. List the prime factors of b.\nAnswer: 43, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -137*j**2 - j - 1. Let a be y(1). Let l be -1 - -5 - 1 - a. Suppose -3*s + 2*s = -l. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**3 - 5*h**2 + 3*h + 3. Let i be p(-3). Solve i - 7 = -4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 95 (c) 2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.4, -49\/6, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/9)\/(-2) - (-4)\/(-18). Let w(y) be the first derivative of -z*y**2 + 1\/9*y**4 + 0*y**5 - 3 - 1\/27*y**6 + 0*y**3 + 0*y. Let w(h) = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 32216 + 7196 = 0. Is f a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*m - 37358 - 2442. Which is smaller: -1001 or m?\nAnswer: -1001","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 422280 and 83.\nAnswer: 35049240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 4. Let b(i) = -19*i**2. Calculate b(m(w)).\nAnswer: -19*w**4 + 152*w**2 - 304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8262555?\nAnswer: 3, 5, 7, 78691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**10\/k*k)\/k)**(2\/13) assuming k is positive.\nAnswer: k**(20\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -494\/15 (b) -0.6 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 - 1)*(1308*s**2 + 1314*s**2 - 2620*s**2 - 304) - 1 + 1 - s**2)*(-2*s - s + 5*s).\nAnswer: 2*s**3 - 608*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6 and 2.2554.\nAnswer: -3.7446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 40, 22, -2, -26, -44?\n\"Answer: n**3 - 9*n**2 + 2*n + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w + 6. Let r be m(-4). Let c be 2 - (-1)\/(r\/(-48)). Let u(k) = 173*k + 1224. Let b be u(-7). What is the highest common factor of b and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 = -7*h + 243. Let j(w) = w**2 - 11*w + 12. What is the lowest common multiple of j(12) and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 33*q + 78.\nAnswer: -3*(q - 13)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4811 + -0.01971925.\nAnswer: -1.50081925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (520*x**4 + 413*x**4 - 616*x**4)*(4 + 0 - 3).\nAnswer: 317*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6805 is divided by 213.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -23421, -46839, -70257, -93675?\n\"Answer: -23418*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -30*n**3 + 12*n. Let p(l) = -12*l**3 + 5*l. What is -12*p(a) + 5*v(a)?\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4040 by 4040.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.0724 centuries to months.\nAnswer: 66086.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (44\/(-1210))\/(1\/5). Which is the smallest value? (a) t (b) 1\/3 (c) 104\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l**29)\/(l**(-2\/81)*l) assuming l is positive.\nAnswer: l**(2513\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12716, 25416, 38124, 50840, 63564, 76296, 89036?\n\"Answer: 4*v**2 + 12688*v + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 43 + 25 = 0. Calculate the least common multiple of ((-987)\/6)\/(-7) - y\/2 and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -28) + 5 + (-5 - 5) + 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111 - 100?\nAnswer: -101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 8*p**2 - 12*p - 6. Suppose -22*f + 24*f = 90. Let b = 37 - f. Is w(b) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 10*k + 9. Suppose 20 = 4*p - 2*p. Let q be x(p). Let f be -1*(0 - 2\/2). Solve -2*i - q - f = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 2279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1408, -1, 1, -3 in increasing order.\nAnswer: -3, -2, -1, 1, 1408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -10*f**2 - 4. Let m(w) = 9*w**2 + 3. Let q(x) = 4*m(x) + 3*n(x). Let o(d) = -d - 56. Let t(g) = 448. Let c(i) = 8*o(i) + t(i). What is q(c(b))?\nAnswer: 384*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4216 or 1479584\/351?\nAnswer: 4216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31197.21cm to micrometers.\nAnswer: 311972100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + -2)*1\/(-2). Let r(w) = -w + 1. Let l(f) = 214*f**2 - 3*f. Let m(y) = l(y) - r(y). Is m(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 164 + -164. Suppose -2*m = 2, -4*i = -m - y*m - 2849. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a centimeter?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.021718653 and -43227.\nAnswer: -43226.978281347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -241555504 (base 6) to base 12.\nAnswer: -1645b94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -542055435 - -1?\nAnswer: -542055434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2. Let r(b) = b**2 - 2*b - 1. Let p be r(-1). Let a(c) = -19 + 19 + 4*c**p. Determine l(a(o)).\nAnswer: 32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/541915 and -45\/1001.\nAnswer: 49314265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 0*j**4 + 0*j + 20 + 5\/2*j**6 - 14\/3*j**3 + 0*j**2 + 0*j**5. Find the third derivative of m(s) wrt s.\nAnswer: 900*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 395646 and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4961780815 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5006 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xellxkllgexkxg. What is prob of sequence kgk?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 4. Let c(l) = -l**2 + 7*l + 25. Let i be c(-3). Let f(z) = -3*z**2 - 7. Determine i*b(s) + 3*f(s).\nAnswer: -4*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11545 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 w, and 2 d when four letters picked without replacement from {u: 1, n: 2, m: 3, j: 5, d: 7, w: 2}?\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 105*y**5 - 213*y**5 - 120*y + 42*y - 10*y**4 + 10*y**4 wrt y.\nAnswer: -2160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxx when three letters picked without replacement from gxxbmmm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24123 rounded to two dps?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -1738500.\nAnswer: 7\/1738500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 75708534+-0.5\nAnswer: 75708533.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 29*k**2 - 32*k - 123. Calculate q(-28).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8025.66226375 and 184?\nAnswer: 7841.66226375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 37156840.2 to the nearest 1000000.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -482 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tnztzn. Give prob of sequence zn.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (8 + -5 + (13 - 6))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3 = b + 3*h, 0 = 3*b + 3*h - 3. Let r(p) = p**2 + 108. Is 18 a factor of r(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10 + 10)\/(1 + -2). What is the nearest to t in 3, 0.5, 1.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1037, 4477, 10209, 18233, 28549?\n\"Answer: 1146*p**2 + 2*p - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18.08 + -17.88. Let u = 4 - 8. Which is the biggest value? (a) u (b) l (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 11*u**2 + 8*u + 10. Calculate the common denominator of y(-10) and -53\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a microgram in nanograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 31738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65773?\nAnswer: 17, 53, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 19187 + 19327 = 0. Let w(g) be the first derivative of 1\/35*g**5 + 1\/28*g**4 + 0*g + 0*g**2 + 0*g**3 - t. Find f, given that w(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, h: 7, w: 1, a: 8, l: 2}. Give prob of picking 1 h, 2 l, and 1 a.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3*u - 25, -u = 2*s - 30 + 1. Suppose 4*x + 0*x = s. What is the remainder when -50*((-10)\/x)\/5 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4394*q**3 + 4*q**2 - 19*q - 14486239 wrt q?\nAnswer: -13182*q**2 + 8*q - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q**2. Let l(i) = i**2 - 2*i - 1. Let m be l(3). Let u(v) = -m + 3 + v - 2. Let z(w) = 3*w - 2. Let j(n) = -2*u(n) + z(n). Calculate j(s(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*(-13)\/(1092\/(-24))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1443367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 - 2116*w**2 - 20860*w - 51900.\nAnswer: -4*(w + 5)**2*(w + 519)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + (4 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49337 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/(-56) + 3680484\/32 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 313510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gmggmgggmmmmmmgmggg. Give prob of sequence mmmm.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 721133, 1442196, 2163173, 2884022, 3604701, 4325168, 5045381?\n\"Answer: -7*h**3 - h**2 + 721115*h + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 90\/(-24)*(-8)\/6. Let a(j) = j**3 - 5*j**2 + 2*j - 5. Let d be a(w). Suppose -f = -0 - d. Solve -2*z = -4*z - 10, 5*b - f*z = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b*d**2*o**3*z - 2*b*d**2*o**2 + 115*b*d**2*o*z + b*d*z + 91*b*o**3*z + d**2*o**3 wrt o.\nAnswer: 6*b*d**2*z + 546*b*z + 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 17658*p - 247406. Calculate o(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v + 1. Is x(7) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16252 or -16247?\nAnswer: -16252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*c = -29*c - 234. Let j = -313\/4 - c. What is the second smallest value in -4, j, 7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aur when three letters picked without replacement from {u: 2, r: 1, a: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 51*y**2 - 3*y + 1. Let j = -82 + 79. Let u be (-12)\/4 + (-4 - -2 - j). Is s(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 14*q**2 + 10*q + 9. Let r be n(-13). Suppose 5*y - r - 37 = 0. Find the first derivative of -8 - y + 15 - 6*a wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 6347259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 9*q - 8*q - 309, -4*q - 132 = -2*g. What are the prime factors of g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -24*d**2. Let w(n) = 384*n. What is w(h(c))?\nAnswer: -9216*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*65\/156*(-6)\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45316827 and 69070.\nAnswer: 453168270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and ((-304)\/(-12))\/((-4)\/(-6)).\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 1\/48*r**4 + 0*r + 0 - 1\/1260*r**7 - 1\/240*r**6 + 0*r**3 + 1\/360*r**5 + r**2. Factor a(d).\nAnswer: -d*(d - 1)*(d + 1)*(d + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bl when two letters picked without replacement from {c: 1, q: 1, l: 1, r: 1, b: 2, j: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86 + 123. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -8*c + 27. Let l be r(-8). What is the greatest common divisor of l and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19575 and 46342725?\nAnswer: 2175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t + 1. Let r(o) = 1. Let c = 775 + -771. Give c*r(y) + l(y).\nAnswer: -2*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5951, 47893, 161703, 383303, 748615?\n\"Answer: 5987*g**3 + 12*g**2 - 3*g - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 394896226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 6c?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or -12.6?\nAnswer: -12.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -924*q + 4802. Let b be m(5). What is the highest common divisor of 28 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -19 + 17 - (6 + -248). Calculate the greatest common factor of s and 3280.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**3 + 64*i**2 + 282*i + 324 = 0?\nAnswer: -27, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 11*c + 55. Let n be i(-14). Let t = -6 + n. Calculate the smallest common multiple of t and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2093492?\nAnswer: 2, 31, 16883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 6:09 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 11*f**2 + f - 11. Let r be t(-13). Suppose 352 = 3*v - r. Let y = v - -277. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 0 (c) 99 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 1 - y + 6 - 5. Determine z(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**4\/4 - 57*q**3\/2 - 4393*q**2\/4 - 16302*q - 81796 = 0.\nAnswer: -44, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 9. Suppose 5*v = -0*v + d*s + 45, -v - s + 17 = 0. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**5\/120 - z**3 + 4. Let u(k) be the third derivative of h(k). Let d = 6 - 8. Let s(n) = 1. Determine d*u(w) + s(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (-10 + (13 - 14) + 20)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46075609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/12 and -41\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5156377 (base 8) in base 7?\nAnswer: 14423166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 - 47. Let m = -33.4 + 33.1. Which is the fourth biggest value? (a) i (b) m (c) -19 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(8\/(312\/65)*(-27)\/60)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44.1 - 44. Does 2\/53 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11775 or -11898?\nAnswer: -11898","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 16. Solve 4*i = 3*i - y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(77) - (sqrt(77) - (sqrt(77) + sqrt(77)*1 + sqrt(77))))*-1)\/((sqrt(21)\/sqrt(3) + sqrt(7))*-5).\nAnswer: -4 + 3*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 - -0.34. Let w = -2.94 + m. Let q = 0.4 + 0.6. Put 2\/15, w, q in decreasing order.\nAnswer: q, 2\/15, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 206 = 1256. What is the remainder when 416 is divided by q?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4\/17))**34*z**(1\/3)*z*z**(-30) assuming z is positive.\nAnswer: z**(-110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 x when two letters picked without replacement from {b: 1, z: 2, x: 4, o: 2, w: 10}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5 = w. What are the prime factors of w\/(2 + 89\/(-44))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5082 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 10) in base 12?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 1, 22, 0 in increasing order.\nAnswer: 0, 1, 12, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16571*p - 695*p - 446*p.\nAnswer: -17712*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (30 + (0 + 3)\/3)\/(-1). Let d = t - -34. Suppose 415 = d*n + 2*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 8:48 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 7) to base 5.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.01301 times 0.3?\nAnswer: -1.203903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*(-8)\/12*2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*x + 153 = 24 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/9, 20\/7, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1384 - 1389. What is the biggest value in 4\/7, t, -2\/51?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4 + 0*f**2 - f**2 + 2*f**2. Let r be g(0). What is the second derivative of 0*n**4 + 0*n**4 + n - n**r wrt n?\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*w = 3, 3 = 2*f - 20*w + 23*w. Which is greater: 4\/495 or f?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 1. Let m = 0 - -3. Let g be j(m). Let u = 61\/6 - 11. What is the third smallest value in u, 3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(99)\/sqrt(9) + -4) - (((sqrt(1584) + -4*sqrt(1584))**2 + sqrt(1584))*2 + sqrt(1584)).\nAnswer: -28528 - 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 3:06 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 80 = -0*g. Suppose -3*m + 183 = 2*u, -68*m - u = -71*m + 174. Let r = g + m. What is the least common multiple of 10 and r?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1005*r - 63602 = 179*r. Let y = -10 - -15. Sort 1, r, -3, y in descending order.\nAnswer: r, y, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -774 + 2324\/3. Put y, -78, -0.5, -3\/10, -2 in ascending order.\nAnswer: -78, -2, -0.5, -3\/10, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4023.399ng to milligrams.\nAnswer: 0.004023399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -84 - 1069a595?\nAnswer: -1069a669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5308073 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h - 78 = 0. Suppose 0 = -5*i + 3*n - h, -5*n = -i - 3 + 5. Does 13 divide 10\/45 - 248\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32314 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3 + 111*k**2 + 2 - 4. Is c(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + o - 2. Suppose 5*i = 0, w + 5*i = -w - 4. Let s be g(w). List the prime factors of 0 + (7 - s) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68552707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*s - 2*s**2 - 161*s**3 + 50*s**3 + 4*s**4 + 69*s**3 + 58*s**3 + 2*s**4 + 1 as o*s**4 + a*s**2 + m*s + q + y*s**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 2*n + 24 - 9, -5*k - 2*n + 25 = 0. Sort -2, k, 0, -3, 7 in descending order.\nAnswer: 7, k, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2289*b - 195. Let d(x) = -4578*x + 438. Give -4*d(u) - 9*w(u).\nAnswer: -2289*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000133012 to seven dps.\nAnswer: -0.0000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, g: 11}. What is prob of sequence ng?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 871 * -30.\nAnswer: -26130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 268240*k**4 + 5909*k - 12 wrt k?\nAnswer: 3218880*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*j + 1235, -4*j + 5*w - 581 = -1569. Let d = 811 - j. What are the prime factors of d?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 28*d + 17*d + 156 + 11*d - 161.\nAnswer: 58*d - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - 0. Let k = c - -22. What is the greatest common divisor of k and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -9\/994852?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w - w + w)*(1 - 2 + 3) - 14*w + 12*w - 22*w to h + n*w and give n.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**3\/r)**(-27\/5)\/(r**(2\/3))**(11\/2))**38 assuming r is positive.\nAnswer: r**(-11324\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3972?\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 7.3. What is the nearest to -3 in 4, x, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 23. Suppose d = 2*f - 3 - 7. Suppose -3*o + 13 = 5*c, 0 = -f*c + 3*c + 4. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 7*m + 33 = 0. Let q(b) be the second derivative of b**3 - b**2 - 532*b. Let x(w) = -17*w + 6. What is m*q(p) - 4*x(p)?\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5*(-10)\/50)\/((33\/(-3))\/(-649)))\/1?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 - 31\/2*x**2 + 131\/4*x - 1\/4*x**3 = 0. What is x?\nAnswer: -64, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 0.2 (c) 364.7 (d) 1\/2 (e) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -11. Suppose -19*r = 5*p - 22*r - 34, 5*p = -4*r + 13. Suppose a = p*q + 65, -4*a = a - k*q - 225. Calculate the highest common factor of a and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 3*-1)\/(130 - 146)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -8752*y**2. Let d(v) = -v**2. What is t(d(j))?\nAnswer: -8752*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 932043 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 96 = 21*u, -4067 = 5*i + 3*u - 4099 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of p**3*s + 121*p**3 - 867*p**2*s - 12*p*s - 5457*p + s wrt s?\nAnswer: p**3 - 867*p**2 - 12*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/75)\/(18\/15)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 120\/28 - (-3 - 69\/(-21)). Let n be (6 + -28)\/2*l\/(-22). Let v(m) = 4*m**2. Let z(t) = -t**2. Give n*v(a) + 6*z(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -32564*n - 1204861. Calculate c(-37).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**2 - 3 - 3*v**2 + 7*v**2 - 11*v**2 - 4*v as g + m*v + q*v**2 and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 19*l - 103. Let s be (l + (-32)\/6)*-9. Factor 1\/5*p**2 + 0 - 3\/5*p + 3\/5*p**s - 1\/5*p**4.\nAnswer: -p*(p - 3)*(p - 1)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*k - 58, -5*b - 4*k + 227 = -63. Let j = b + -30. Let i(p) = -2219*p + 8890. Let u be i(4). What is the greatest common factor of u and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g + 464027 - 168083 = 0. List the prime factors of g.\nAnswer: 2, 3, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 322141 (base 5) in base 13?\nAnswer: 4c81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 148942019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 - 121?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/2856)\/(6\/(-16))*-28?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*6554856.\nAnswer: -32774280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzj when three letters picked without replacement from {z: 5, x: 4, j: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -1744, -0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 7*a**2 - 7*a + 5. Let z be b(-8). Let w(f) = 15*f**2 + 1. Let k be w(z). Suppose 0 = -n + 5*n - k. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 2 = 3*q, 0 = -72193*l + 72187*l - 7*q - 63 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 730870 to the power of 1\/2, to the nearest integer?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + 1. Suppose 6*j = 3030 - 2904. Which is greater: j or v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 - 12*h + 12. Let j(z) = -13*z**3 - z**2 + z + 1. Let m be j(-1). Let n(u) = -u**2 - 5*u + 5. Calculate m*n(b) - 5*g(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 372 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3.76 times 0.8\nAnswer: 3.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*u**2 - 12*u + 3*u**2 - 22*u**2.\nAnswer: -37*u**2 - 12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 3 + (-3 - 2 + 6)*(-2 + 4 - 1) - 6 + 2 + 2)*(2*o - 9*o + 2*o) to m*o + f and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjj when three letters picked without replacement from jssjjss?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4454088 and 48414?\nAnswer: 4454088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -259, -225, -169, -91, 9, 131?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 565, 2302, 6115, 13042, 24121, 40390, 62887, 92650?\n\"Answer: 173*g**3 + 526*g - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/(-6)*(-656)\/205. Suppose -u + 10 = -6*u. Put u, p, 5 in ascending order.\nAnswer: u, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 12) to base 3\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58258741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 1 - (-52 + 53) - (-29 + 1 + 1).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 112*u + 600. Determine d(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v + 7*v + 4*v + 5*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 s when two letters picked without replacement from {o: 3, s: 12}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 12:55 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i**2 - 4*i - 4. Let f(h) be the second derivative of h**2 + 1\/3*h**3 + 1\/6*h**4 + 0 + h. Determine -2*a(c) - 5*f(c).\nAnswer: -2*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) -0.3 (b) -14 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 - 49 = -4*q + 4*y, 3*y + 46 = q. Let z = q - 36. Suppose -7 = a + 2*s - 2, -4*s - z = 0. What is the greatest common factor of 9 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*2*5 - (sqrt(99) + sqrt(99) + (2*-3*sqrt(99) + sqrt(99) - sqrt(99))))\/(-5*(sqrt(9) - sqrt(441)) + sqrt(9)*-2*3))**2*-1.\nAnswer: -539\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 15*z**2 + 78*z**2 + 22*z**2 + 33.\nAnswer: 85*z**2 - 2*z + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y + 11. What is s(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 7)*((-45)\/9 + 4). Suppose -5*v - 55 = -10*v + 5*b, 17 = 3*v + d*b. What is the least common multiple of 24 and v?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 69*t + 31*t - 8*t**2 - 2*t**2 - 12*t**3 + 40 - 13*t**3.\nAnswer: -5*(t - 2)*(t + 2)*(5*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1710 + 1712. Suppose q + s = -0*q + 7, -20 = -4*s. Let f(g) = -g + 2351*g**k + g - 2347*g**q. Let h(r) = -17*r**2. Calculate h(f(y)).\nAnswer: -272*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, m: 18}. Give prob of sequence mm.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -9\/14 in increasing order.\nAnswer: -3, -9\/14, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 f when four letters picked without replacement from {f: 7, c: 12}.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -101*-1.74\nAnswer: 175.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = a - 0*a. Suppose 0 = a*d - 4*d - 76. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 99*v = -97*v - 8, -2*l - 3*v + 12 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 23 = 10. Let g = d - -11. What is the derivative of g*s**4 - 2*s**4 - 6 + 0 + 3*s**4 wrt s?\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3325\/6 + -540. Let h = -13\/3 - l. Find the common denominator of h and -9\/52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 228 and 20412?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -10\/3*c**2 + 78 - 1\/15*c**5 - 2\/9*c**3 + 8*c + 5\/12*c**4. What is x in i(x) = 0?\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559720500 to the power of 1\/2, to the nearest integer?\nAnswer: 23658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55 + 60. Solve -2*q + 7 = -a*b + 2*q, -10 = -4*b - 2*q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 35 + 1)*1. Let z = y + -21. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -19*x + 4. Let v be m(6). Suppose z - 5*i + 117 = 0, -4*i - 44 = -56. Let w = z - v. Solve 2*r + 5*a = w + 15, 0 = -2*a + 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 678 - 675. Let y(v) = v**3 - 5*v**2 - 8*v - 1. Let k be y(6). Put a, k, -5, 2 in decreasing order.\nAnswer: a, 2, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2051.4432 (b) -0.2 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f**2 - 3*f. Let s(r) = -17*r**2 - 13*r. Let g(n) = -6*s(n) + 26*u(n). Let i(o) = -57*o**2. What is g(i(t))?\nAnswer: -6498*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 476275955 to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -7. Suppose -50 = -3*v + 8*v. Find the common denominator of 475\/v*(-1)\/o and -27\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s = 2*f - 10, 3*s = -9. Suppose 17 - 1 = 5*g - 4*i, -3*g = -4*i - f. Let m = 20 - -24. What is the highest common divisor of m and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11 (b) 2 (c) -4\/7 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -13. Suppose 3*a = -11 + 2. Sort 4, a, m in ascending order.\nAnswer: a, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or -0.29?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m + 53. Let p(c) = -1. Give l(a) - 6*p(a).\nAnswer: 2*a + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbi when three letters picked without replacement from {i: 1, b: 2, t: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25*c*f*h + 258*c*f - 6*c*h**3 - 2*c*h**2 - c wrt h?\nAnswer: -25*c*f - 18*c*h**2 - 4*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-514*n + 3805 - 3805)*(-3 + 1 + 3).\nAnswer: -514*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4756*b + 697. Let y(q) = 2*q**2 - 58*q + 637. Let f be y(30). Let n(r) = -41*r - 6. What is f*n(m) + 6*d(m)?\nAnswer: -41*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -416 + 596. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 12*d**2 - 3*d**2 + 9.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 + 0*x**2 + 18*x**2 - 5*x**2.\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58941 and 1879600?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0205 - 0.020499122. What is u rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 23, 58, 97, 140, 187, 238?\n\"Answer: 2*s**2 + 29*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*l + 33, 0 = 4*v + l - 0*l - 33. Solve o = 8 - v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1078913 is divided by 4882.\nAnswer: 4873","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*a + a = -35, f - 2*a = 34. Is (-18)\/f - (-9750)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 7*m - 90. What is the greatest common divisor of m and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-2))\/(-1))\/(1\/4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 - -24.9. Let v = -0.2 + 0.3. Let p = v + t. Which is the closest to 2? (a) p (b) -3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + 3)\/(2\/(-10)). Solve -4*i - 1 = -q for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*q**5 - 16*q**4 + 1161*q**3 + 2*q**2 - 46881*q - 1 wrt q?\nAnswer: -180*q**2 - 384*q + 6966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 5*b + 0*b)*(-155 + 145 + 76).\nAnswer: 66*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10839.2 * 3\nAnswer: -32517.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29624 divided by 7406.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -322 + 150. Let h = -161 - v. What is the second biggest value in 2, 5, h, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, s: 2, f: 1, w: 1, o: 2}. Give prob of sequence swsf.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445592173.\nAnswer: 13, 34276321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 49007945 to the power of 1\/3, to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*z, 3*i - 468*z - 49 = -467*z. Which is the closest to -2\/7? (a) i (b) 3 (c) -17\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**5\/240 - d**4\/72 - 11*d**3\/72 + d**2\/2 - 60*d - 1. Find y such that s(y) = 0.\nAnswer: -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 6:48 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 705, 709, 713, 717?\n\"Answer: 4*d + 701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 1 - 9. Suppose -s*h = -8*h + 15. Suppose -4*m + h*w + 47 = -0*w, m = -4*w - 4. What is the greatest common factor of m and 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2455 + 2293 = 2*q + 4*j, 5*q - j = 11837. What are the prime factors of q?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 18*v**2 + 16*v. What is b(-17)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 7:15 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -85726a (base 11) to base 10\nAnswer: -1371248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 185.9729 meters in kilometers?\nAnswer: 0.1859729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 3:59 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 17 = -2*k, -4*k + 2*o + 9 = -17. Let x(g) = -g**2 + 1. What is x(k)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 0 - 1. Let h = f - -3. Suppose -p = -h*p + 30. What is the lowest common multiple of p and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, y: 7, b: 5}. What is prob of picking 1 y, 1 o, and 1 b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(2\/9))**(-1\/3))**(-5))**(5\/9) assuming g is positive.\nAnswer: g**(50\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hgds when four letters picked without replacement from dggsgdh.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**(1\/4)))\/r)**(21\/5)*(r\/r**(2\/7)*r)**2 assuming r is positive.\nAnswer: r**(39\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -179.6673621 to three decimal places.\nAnswer: -179.667","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7.7? (a) -4\/3 (b) 0.05 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3139789387 to the nearest integer?\nAnswer: 56034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 783709 and 21075.\nAnswer: 58778175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2))**(17\/3)\/(c*c**0*c*c)**(3\/28))**(-1\/25) assuming c is positive.\nAnswer: c**(979\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2112321 (base 4) to base 3\nAnswer: -111020200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**2 + 12*o + 13. Let m = 19 + -25. Let r be s(m). Suppose 5*y - r = -u, 3*u + 5*y - 92 = y. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 40\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42783219?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1296) - sqrt(36))\/sqrt(2))\/sqrt(6).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 12 - 14. Suppose 4*d - g*d = 0. Solve 2*h + p + 4 = 3*p, -2*h + 4*p = d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006824 to seven decimal places.\nAnswer: -0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 239 by 5.\nAnswer: 239\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38605192937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-82)\/(-1435) - 1\/(-7). What is the second biggest value in -2, t, 2\/7, 0.01?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**4 - 8*c**3 + 52*c**2 + 152*c + 96 = 0. What is c?\nAnswer: -3, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (98\/15)\/((-22)\/(-121)) + 1517\/22755\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - -2) + (-30)\/30. Suppose -2 = -l + 5*z, 5*l + z - 64 = -z. Solve -5*k = -q*c - 2*c + 20, 3*c - l = 4*k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -25, -2*l - 76 = -0*l - 2*r. Let p = l - -47. Let s = -35\/18 - -3\/2. What is the third biggest value in -5, s, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 13. Suppose 3*g = 4*g - 1. Calculate the remainder when v\/(-10)*(-15)\/6 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - (-220012)\/6)*-240. What is l rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 6*o + 14 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 7:29 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10 + 68\/7 - (2 - (7 + -4)). What is the fifth smallest value in -0.3, k, 5, 13, -0.4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 - 0.87. Let c = f - -0.06. Let z = -1.39 + c. Round z to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -692.5 - -693.5. Which is the closest to t? (a) 4 (b) 3\/7 (c) -232\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -578 divided by 289\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -18) + -1693426 + 209. Round d to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 184909446?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -0.2. Let g = 355.9 - 356. Let r = -694 + 690. Which is the third smallest value? (a) i (b) r (c) 1.3 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 + -26. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -y - 3*w + 5*w, y + 15 = -4*w for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38926306*j**2*s - 238635911*j**2 wrt s.\nAnswer: -38926306*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 6958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-25)*(l\/(((l**3\/l*l)\/l)\/l))\/l assuming l is positive.\nAnswer: l**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*f - 4 = 0, 2*f + f = -5*y + 13. Suppose u = 1 - 3. Let h = u + y. Solve h*c + 0*a + a + 7 = 0, 9 = -c + 3*a for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3678? (a) -26\/9 (b) 0.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 51*m**2 - 45*m - 66. Calculate x(50).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.89 rounded to the nearest integer?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkknwnknkznknnkw. Give prob of sequence wn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3186 - 3202 = 3*a - 10*u + 11*u, -5*u - 46 = -2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i**5\/20 + i**4\/2 - 4*i**3\/3 + 17*i**2\/2 - 2*i + 31. Give y(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*(sqrt(44) + 0 + sqrt(3564)) + (-3*sqrt(1584))\/(sqrt(16) - -3*sqrt(16)))**2.\nAnswer: 15603291\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.173, -3, 0.1, -148 in decreasing order.\nAnswer: 0.173, 0.1, -3, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from llllrlrlzxxrrorrx?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 g when two letters picked without replacement from {s: 2, x: 1, g: 1, z: 1, u: 1, a: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 1317844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 11 + 0*f - f**2 - 3\/2*f**4 + 0*f**3. What is the second derivative of d(y) wrt y?\nAnswer: -36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, r: 6}. Give prob of picking 1 r and 1 o.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15\/302, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**3 - 6*c**3 + 8*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkdkdkddkmkmd. Give prob of sequence dm.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/10)\/(0 - 12\/(-90)). Suppose 0 = -5*y - y + r. Put -4, 4, y, -2 in increasing order.\nAnswer: -4, -2, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*q = -148*q + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5707, 2\/15, 0.5, 8\/7 in descending order.\nAnswer: 5707, 8\/7, 0.5, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 335108 - 891108. Round k to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/3 - (-764)\/582. Is -1 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 3. Let x(p) = 221*p + 2. Give -g(k) + x(k).\nAnswer: 220*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 19, 27, 37?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 81*d = 1350 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + 0.1. Let s = 0.17 + -0.07. Let i = j - s. Which is the second smallest value? (a) i (b) 0 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57)\/(sqrt(6)\/sqrt(2)))**2 + 5*sqrt(19)*-1 + -3 + (sqrt(2736) + 1 - sqrt(2736)) + -5)*5.\nAnswer: -25*sqrt(19) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -271 - 19 + 353*c**4 - 309 + 129 - 108 wrt c?\nAnswer: 1412*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12*(2 + 3\/(-2)). Suppose -v - 14 = -b. Let h be 51198\/v + 1\/(-4). Round h to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Suppose r*o + 15 = 5*f, -5*f + 4 = o - 26. Let w(n) = 2*n**2 + 1. Is w(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77389.03s to microseconds.\nAnswer: 77389030000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 o, and 2 f when four letters picked without replacement from {o: 4, f: 3, k: 4, g: 4}.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26099798513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 3*h + 243, -8 = 4*r + 3*h - 333. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 0.5 (b) -4 (c) 133 (d) 24 (e) -4\/11 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**2*p**2 - 285*b**2*p - 50*b*p**2 - 11*b*p + p**2 wrt p?\nAnswer: -4*b**2 - 100*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -15, -1, 31, 87, 173, 295?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 122.45 + -119.45. Which is the fourth biggest value? (a) -23 (b) 0 (c) f (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 214003?\nAnswer: -213443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a - a + 11*a + 7*a**3 wrt a?\nAnswer: 42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11412830 and 379730?\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 7*h**2 - 4*h - 2. Let t(n) = 7*n. Let p be t(3). Let v = p + -15. What is the tens digit of k(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 379412740 to the nearest integer?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -1064073?\nAnswer: -2\/1064073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-5) + 8 + (-24032)\/(-40). Find the second derivative of 7*p - 609*p**4 + 2 + y*p**4 + 0 + 32*p**5 wrt p.\nAnswer: 640*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/17? (a) -1\/4 (b) 1 (c) -1\/10 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - -0.6. Let k = i - 0.1. Which is the closest to 2\/7? (a) k (b) -3 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 358 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495770556.\nAnswer: 2, 3, 491, 84143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -48 + 43 - (-2 + (1 - (2 - -1)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**2\/5 - 49936*y\/5 - 598944\/5 = 0.\nAnswer: -24956, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w - 4. Let s(x) = -x - 1. Let l(z) = -q(z) + 2*s(z). Calculate l(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -46\/11. Which is the third biggest value? (a) -1 (b) 1\/4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -959326342009 and -0.1?\nAnswer: 959326342008.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 11*y + 18. Calculate q(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*3*(-1)\/(-9)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - -39. Suppose -5 = j, w = -u - 2*j + j - 4. Let n(i) = 7*i**2 + 5*i**2 + u + i**2 + 2*i - 2*i**2. Calculate n(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0530009 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 2. Suppose -2*a = -0*a - n. Suppose 0 = 4*v - a*h - 130, 5*h = 4*v - 32 - 94. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/1)\/2*2\/(-6)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 760.1102 hours to microseconds.\nAnswer: 2736396720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -3. Let t(d) = -5*d + 1. Let l be t(o). Suppose -l*p + 9*p - 9 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 16 = -89. Suppose m = -0*m + a. Let p(i) = 184*i + 1293. Let n be p(-7). Solve m = -n*d + 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from msnmxmxxnmxxmmxxxme. What is prob of picking 3 x and 1 n?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-80 + 21 + 33)*(-3*t + 6*t + 5*t) - 2*t + t + 0*t + (7*t - 4*t - 4*t)*(-2 + 0 + 3) - 2*t + 4 - 4 to j + a*t and give a.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2885783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 5*y - 4*x, x - 50 = -631*y + 629*y. Sort 1, 2, y, 0, -2.\nAnswer: -2, 0, 1, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4203505\/6 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 14. Suppose h = -3*q + 96, 8 = q + q. Suppose h = 3*p + p. What is the remainder when p is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47 or 1675?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 26048\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akezkkfkea. What is prob of sequence aak?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**16\/a)\/a*a**(-6))**(-15\/11) assuming a is positive.\nAnswer: a**(-150\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -277 - z + 2*z**2 + 105 + z**3 + 146 to the form b + i*z**3 + p*z + d*z**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/552?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*y**2 - 108*y**3 + 339*y**3 - 114*y**3 - 119*y**3.\nAnswer: -2*y**3 + 71*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2*w)*(-w + 4*w - w) - 3*w**2 + 2*w - 2*w + 1 + 4 + 4*w**2 - w**2 to y*w + s*w**2 + f and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2933119329?\nAnswer: 3, 7, 4357, 32057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -78*m + 923 - 2327 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -13084.665 and -0.21092.\nAnswer: -13084.87592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 8 = -2*z - 42, 0 = 5*z + 15. Suppose -s*a + 8 = -7*a. Solve 0 = a*p - 0*p - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 6*a**2 + a + 12. Let r be w(-6). Suppose -r*t + 278 - 92 = 0. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 559*q**3 + 93*q**3 + 84*q**3.\nAnswer: 736*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + (-39 - 1 - -32)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**3 - v**2 - v + 2. Let o(k) = 1014*k - 4054. Let z be o(4). Let r(s) = 6*s**3 + 4*s**2 + 4*s - 6. Calculate z*r(u) + 7*g(u).\nAnswer: -2*u**3 + u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 8 = -3*q. Suppose -q + 0 = -r. Suppose 12 + 30 = 4*n - b, 16 = r*n + 2*b. Calculate the highest common divisor of n and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3155, -3678, -4233, -4826, -5463, -6150, -6893?\n\"Answer: -d**3 - 10*d**2 - 486*d - 2658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/14 + 2\/7. Suppose m = 7*f - 6*f - 79. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -12. Let u = r + -6. Let a be (-1)\/(((-9)\/6)\/3). Solve u = a*g + 14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1293 + 1277 - u + 3*u)*(-4*u + 11*u + 6*u) in the form l*u**2 + i + h*u and give h.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 25. Suppose 3*t = 3 - 15. Calculate the least common multiple of ((-10)\/8)\/(1\/t) and i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - z = 14. Suppose -6276 = -13*s + 1589. Suppose -n = 10*n - s. Calculate the remainder when n is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1090\/75 + 0 + -14. Find d, given that 2\/15 - 8\/15*d**5 - 2\/15*d + x*d**4 + 2\/3*d**3 - 2\/3*d**2 = 0.\nAnswer: -1, -1\/2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12276)\/(-2) - 10\/6*-3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6847*h**4 + 4*h**3 + 281*h**2 - 52672531?\nAnswer: -27388*h**3 + 12*h**2 + 562*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 464, 859, 1254, 1649, 2044?\n\"Answer: 395*h + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 11. Let w(r) be the third derivative of -r**5\/60 - 5*r**4\/24 + r**3 - r**2. What is the units digit of w(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -v + 3, -3*v - 3*u - 7 = 2. Let q(f) = 1 + 80*f - 147*f - 136*f. Is q(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(2\/3))\/v)\/v**7 assuming v is positive.\nAnswer: v**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1060 is divided by 53\/((-225)\/(-30) - 7 - (1 + -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -125 + 12*m - 115 - 116 + 476 - 125. Let n(k) = -36*k + 14. Give 5*n(t) + 14*u(t).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**4\/4 + x**3\/3 - 2*x - 5. Let y(s) = 50*s**3 + 2*s**2 - 6 - 29*s**3 - 24*s**3. Determine 8*q(n) - 3*y(n).\nAnswer: n**3 + 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2 + 3*n. Calculate q(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 1. Suppose 0*o + 48 = g*o. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3345703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*s + 0 - 8*s**3 - 3\/2*s**4 + 33\/2*s**2.\nAnswer: -s*(s - 1)*(s + 7)*(3*s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 6*k. What is l(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 42*j - 231. Calculate z(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 310*r**2 - 5*r - 6. Let a(w) = -62*w**2 + w + 1. Let h(g) = -11*a(g) - 2*x(g). Let y(l) = -2*l**2 - 12*l + 1. Let m be y(-6). Is 24 a factor of h(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 234 + 1020. Calculate the greatest common factor of 684 and m.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30.48 - -23.52. Sort 1\/3, 0.11, a in increasing order.\nAnswer: 0.11, 1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-40)\/5*14\/(-8). Solve i*g**3 + 7*g**2 + 0*g**3 - 3*g**2 = 0 for g.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -19463731 divided by -4\nAnswer: 19463731\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2824, -2814, -2804, -2794, -2784, -2774?\nAnswer: -2764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ogn when three letters picked without replacement from ogngnng.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9581432 and 1487456?\nAnswer: 7912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 20 (b) 2\/19 (c) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 2*l**2 - 4*l + 21140. Let n(g) = g**2 + 1 + 0*g + g - 2*g. Calculate -h(b) - 5*n(b).\nAnswer: -5*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 185*w - 4. Let o(r) = -61*r + 1. Give 3*m(l) + 8*o(l).\nAnswer: 67*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13003 - 222?\nAnswer: 12121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1*(sqrt(300)*-2 - sqrt(300)) - (sqrt(300) + (sqrt(300)*1 + -2 + sqrt(300))**2)) + (1*sqrt(300)*-1 - -3*(1*sqrt(300) - sqrt(300))**2).\nAnswer: -1200 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*b = -2*q + 67*b - 12, 20 = -2*q + 5*b for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*x = 293, x + x = 5*l - 465. Let r = -86 + l. Let k be (0 - -1)\/(1*5). Which is the second smallest value? (a) r (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 3 = -18*a + 19*a, -2*a - 5*b - 43 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l - 3*l - 22*l - 9*l.\nAnswer: -29*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -98 - -275. Let n = -170 + r. Solve -4*x - 2*f = -4*f, f = -5*x + n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u - 2*z - 13, 0 = 5*u - z + 15 - 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 5*y + 6, 3*t - 11 = -3*y + 7. Let d = 29 + -21. Find the third derivative of 2*m**2 - d*m**2 + 4*m**2 + 2*m**t wrt m.\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*b - 12*b - 13*b to q + a*b and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + -3 + 2 + 6*sqrt(1900)*3 + 1)**2.\nAnswer: 685900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114614653?\nAnswer: 313, 366181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**2))\/(p\/(p\/p**(1\/2))))\/(p*p**10*p*p**(3\/2)\/p*p) assuming p is positive.\nAnswer: p**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 5*v + 30 = -0*h, 0 = 8*v + 17 + 31 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 7, 15 in descending order.\nAnswer: 15, 7, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 87, 147, 211, 279?\nAnswer: 351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16949 is divided by 16936?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w + 38. Let g(z) = -16*z - 173. Let m(a) = -2*g(a) - 9*q(a). Let k(d) = 2*d - 9. Let p be k(8). What is m(p)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -v**4\/6 + v**3\/2 + 2*v**2 - v. Suppose f = 6*f - 15. What is w(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 205986 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20276.99 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + y**2 - y + 1. Let r(v) = 12*v**3 - 13*v**2 + 4*v - 4. Let c = 25 + -29. Let j(o) = c*p(o) - r(o). What is the third derivative of j(g) wrt g?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + f + 13 = 2*t, 2*t + 4*f = 4. Solve t*i + 8 = -3*o, -o + i - 9 = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82483629 to the power of 1\/4, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1745376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {j: 2, q: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 4*c**2 - 2. Suppose 6 = -61*o + 63*o. Suppose -29*d = o - 32. Give t(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -15 - 3348\nAnswer: -3363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, -0.3, 5338, 2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/5)\/(1 + (-16)\/15). Let u(j) = j**3 + j**2 + j - 1. Let l(n) = 16*n**3 + 10*n**2 + 12*n - 10. Calculate y*u(w) - l(w).\nAnswer: -4*w**3 + 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 = 5*a - x, 192 = -2*a + 6*a - 4*x. Let v = 69 + a. List the prime factors of v.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 614*s + 290*s + 355*s + 255*s - 148*s.\nAnswer: 1366*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 - -6)\/(((-6)\/2)\/3). Solve q = -o + 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/2*(-8)\/14. Suppose 0*g + z + 5 = -2*g, 2*g + 6 = -r*z. What is the units digit of ((-3)\/g)\/((-3)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: 60613888 divided by -6\nAnswer: -30306944\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25169363 a multiple of 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(108\/(-15))*6\/(-10).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20\/11 or 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 10. Let f = -2 - l. Let s be 4*((-1)\/(-10) - 0). What is the smallest value in 0.1, s, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 3:21 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = t + 8, -b - 104 + 100 = -3*t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**5\/5 + 71*n**4\/5 + 32*n**3\/5 - 106*n**2\/5 - 34*n\/5 + 7 = 0.\nAnswer: -35, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -35\/3 (b) 0.1203 (c) -18 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8045 - -25?\nAnswer: -8020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 2.59756?\nAnswer: 1.039024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 9:33 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -358, -909, -1680, -2671, -3882?\nAnswer: -5313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**5*s + 87*q**4*s - q**2*s - 2*q*s + 2*q wrt q.\nAnswer: 120*q**2*s + 2088*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 89800227115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -65 + 55 - (1 - 12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2169, 2170, 2171, 2172, 2173, 2174?\nAnswer: 2175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/9, 2, 5, 1.9, 3\/13?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - p - 2*p)*(-7 + 7 + 5*p**2 + (-2*p + 0*p + p)*(257 - 257 + 57*p)).\nAnswer: 104*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 minus 19.9229?\nAnswer: -51.9229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -2*y**5\/15 - 7*y**4\/18 - 2*y**3\/9 + y**2\/3 + 3*y. Find q, given that r(q) = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -16823*v**2 + 2619. Let a(t) = 5608*t**2 - 873. Let d(z) = -17*a(z) - 6*l(z). What is the first derivative of d(p) wrt p?\nAnswer: 11204*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z - 3. Let n(w) = -3*w - 5. Let q(o) = -3*n(o) + 4*v(o). Suppose 2*f - 3*f - 10 = 2*p, -4*f - 3*p - 15 = 0. Determine q(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -188 (b) 1 (c) -5 (d) 295\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -120 at least as big as -146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 129.9962 - 130. What is k rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -3554746\nAnswer: 1\/3554746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 31 + 16 + 2*p - 24. Let k be g(-10). Let x(t) = t**2 - 2. Let l be x(-2). Solve 4*j - 2 = -l*q, -4*j + 19 = -2*q - k for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4376 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*p**2 + 1 - 1)*(2*p - 4 + 4) + p - p - p**3)*(p**2 + 3*p**2 - p**2).\nAnswer: -15*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(76))\/(4*1*sqrt(4)).\nAnswer: -5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + y = -3*y + 22, -u = -5*y + 23. Let f be -1 - (u\/(-11) + 1830\/(-2277)). Let t(n) = -2*n - 21. Let a be t(-10). Which is smaller: a or f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -244 + 2485?\nAnswer: 2241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z - 4. Let y be n(-2). Suppose y = 2*o - 20 - 14. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29351*r + 29351*r - 6*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 276c + -37?\nAnswer: 2735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5283\/679 - -48\/97. Is s greater than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*0*4\/(-12). Suppose m = 7*x - 2*x. Suppose -8*k + 25 + 39 = x. Calculate the lowest common multiple of 14 and k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 139200155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 121?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -1303?\nAnswer: -1312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2 + (sqrt(98)*2)**2 + 2*(-1*sqrt(726))\/sqrt(3).\nAnswer: -22*sqrt(2) + 389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 625206 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express q**2 - 4*q - 37 + 6*q**2 + 36*q**3 - q - 21*q**2 - 34*q**3 as k + p*q**3 + n*q + v*q**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**3 - 1152304*h**2 - 1152292*h + 2304600 = 0. Calculate h.\nAnswer: -288075, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) 0.2 (c) -0.944 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 13. Suppose 3*m - j*g - 15 = 0, -3*g = m - 1 + 7. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (47 - 136 - 146)*(6*i - 4*i - 3*i)*(10*i - 10*i - 19*i) in the form o + s*i**2 + z*i and give s.\nAnswer: -4465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 249664 greater than or equal to 29.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -13, 1225, 4, 2, -2 in ascending order.\nAnswer: -13, -3, -2, 2, 4, 1225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2377 - -1439. Calculate the least common multiple of n\/(-21) - (-4)\/(-6) and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 k, 1 n, and 1 r when four letters picked without replacement from qrnononronqqkqoq?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 276 + 9. Let s be 4\/10 + v\/(-525). Put -0.1, s, 5 in decreasing order.\nAnswer: 5, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**5\/60 - 2*o**4\/3 + 4*o**3\/3 + 3*o**2 + 2. Let q be v(-16). Solve -w + 4*w + q = -4*a, 5*a = 4*w - 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/(-60))\/((-1)\/(-5)). Let q(h) = -11*h. Let g be q(-1). Suppose 2*v - o*j = j + g, 4 = 4*j. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and (35 - 2)*8\/24.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8)\/h*h**(-2)*(h\/(h**(9\/2)*h))\/h**8)\/((h\/(h*(((h*h*h**(2\/7))\/h*h)\/h)\/h))**12*(h**1)**(-50)) assuming h is positive.\nAnswer: h**(419\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 70\/(-22) + 159\/(-33).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 12:41 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91834271?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*n**2 + 6*n**2 + 86*n**2.\nAnswer: 125*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11103610 and 144.\nAnswer: 799459920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -6 - (4 - 7)) + -31.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 10 = 4*u + 2, -10 = -5*u - 2*j. Let r(s) = 9*s + 4. Let c be r(u). Let x = c + -12. What is the remainder when 29 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*t - 7*t = 71*t + 1537 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 7385.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*d + 370 + 344 = 0. What is the highest common factor of d and 175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -18331, -18598, -18865?\n\"Answer: -267*w - 18064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*((-21)\/(-6) - 3). Let q be n*12\/((-6)\/(-3)). Suppose q = a - y, -2*y - 2 - 4 = 0. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -388 (b) -17\/270 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 20 = 2*z. Suppose -2*f - 21 = 3*c, 3*f = 6*c - 2*c + 28. Which is smaller: c or z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 6*b + 6*b + (-5*b + 6*b + b)*(3 - 1 + 0) + 4*b - 3*b - 2*b)*(2 - b**2 - 2) - 6*b**3 + 9*b**3 - 7*b**3.\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -1 - 2 - -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10340 (base 6) to base 11.\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 70*z**2 - 6*z - 1 - 71*z**2 in the form a*z**2 + s + g*z and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 845 is divided by 659.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 12:38 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97957 is divided by 5777?\nAnswer: 5525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 324293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 35045525 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 4*x)*(1 + 23 - 1) + (-1 + 1 - 2)*(-1 + 1 - 2*x).\nAnswer: 96*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-16))\/(-13*26\/(-14872)).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 42954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 9495354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.02 and -1580564482.84256.\nAnswer: -1580564482.86256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**3*h**2*u - d**3*h*u - d**3*h - 3*d**2*h - 4*d*h**2*u + 25*h**2*u + 17*u wrt h.\nAnswer: 2*d**3*u - 8*d*u + 50*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -43.881 and -0.3?\nAnswer: 13.1643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**5\/5 - 2207*z**4\/5 + 13194*z**3\/5 + 5290*z**2 - 83659*z\/5 + 46221\/5 = 0.\nAnswer: -3, 1, 7, 2201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14258 + 28448 - 14328 + r.\nAnswer: r - 138","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 + -0.6. Let g = -77.9 + 66.9. What is the nearest to z in -4, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(-10)\/(-120)*9\/(-10)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 14) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 22.02. Let i = -0.12 + x. Let o = 0.2 - -0.6. Which is the second biggest value? (a) i (b) 2\/5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = 4*f + 45 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a - 6 - 4*a**2 + 7 - 2*a**3 + a**3 to the form s*a**3 + f*a + k + p*a**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -2*w + 13, -73 = -3*t - 4*w - 62 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/5 or 1\/885?\nAnswer: 1\/885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175, 180, 195, 226, 279, 360, 475?\nAnswer: 630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137 - 137 - 1560*k**2 - 6048*k**2.\nAnswer: -7608*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 588 + -334. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-637)\/(-147))\/((-2)\/(-6)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 522 - -1189. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -36*f + 6. Let p be u(-7). What is p rounded to the nearest ten?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 3*d + 18 = 0, 203 = 4*d + 179 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 + h + 7. Let r be m(-3). Factor -75*f - r*f**2 + 5 + 21*f**3 + 177*f**2 + 5 - 81*f**3.\nAnswer: -5*(f - 2)*(3*f - 1)*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 16) to base 2\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 7379 = -2*f + 7365, -55*u + 57*u - 3*f - 21 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 53*f**2 + 36*f + 11. Let o = -92 + 100. Is h(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2113 + 2121.232. Round b to one dp.\nAnswer: 8.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -296, -851, -1774, -3059, -4700, -6691, -9026, -11699?\n\"Answer: p**3 - 190*p**2 + 8*p - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 11:44 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 520510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*j + 39 - 89 + 50.\nAnswer: 44*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-14)\/(-21))\/((-2)\/(-21)). Let u(h) = -2*h + 9. Let t be u(r). Let b(f) = -f**3 - 5*f**2 + f - 2. Give b(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 14850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1431.52 - -0.68. Round u to the nearest ten.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49378 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 143 + 8. Suppose -5*x + i + 312 = -4*u, x = 2*u + 63. Suppose 79 = -3*n - x. Round n to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*((-33)\/6 - -2). Let t be 255\/35 - (-4)\/r. What is the third derivative of -2*a**5 - 2*a**2 + t*a**2 - 4*a**2 wrt a?\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) -0.05 (c) -0.1775 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380778 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70710 + -39274. What is the ten thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 13) to base 3.\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7297 or -1\/5?\nAnswer: -7297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -1. Let o = -13 - -7. Let i = n + o. Put i, -1, 3 in descending order.\nAnswer: 3, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 5*f**2 + 16 - 37*f + 35*f as t*f**2 + u*f + n and give n.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1719512823.\nAnswer: 3, 7, 109, 751207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.088 + 0.028. Let f = 5.06 + q. Which is the nearest to f? (a) 0.1 (b) -0.3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + 0*j + 3*j)*(-1 + 1 - 1) + 2*j - 3*j - j + (-3*j + 3*j - j)*(-2 - 1 + 5) + 2*j + j - 2*j - 5*j - 6*j + 4*j in the form z*j + w and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 1277041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.9 - 16. Let y = r + 1. Let b = -0.2 - y. What is the biggest value in 5, 0.3, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**4 - 16668*v**3\/7 - 49878*v**2\/7 - 49836*v\/7 - 16605\/7 = 0.\nAnswer: -5535\/7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1004898*n + 6433196.\nAnswer: -1004898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/(-4)*(-4)\/7. Suppose 5*g - 125 = l, 3*g = h*l + 44 + 38. Calculate the greatest common divisor of 72 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 - 0.1. Let w = 419.9 + -420. Which is the closest to -3? (a) w (b) 3\/2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86496244 to the power of 1\/2, to the nearest integer?\nAnswer: 9300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11*71090\nAnswer: -781990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - 5\/((-10)\/26). Let m be ((-5)\/4)\/((-3)\/c). Suppose -r - 3 = 0, -2 - m = -2*a + r. Let u(o) = o**3 - 2*o**2 - o. What is u(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 7:29 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1573.9 + -44566462?\nAnswer: -44568035.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 6*3\/(-14). Let z be 376\/(-48) - (-45)\/54 - 17\/(-2). Which is the biggest value? (a) j (b) 0 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 y, and 1 h when three letters picked without replacement from {w: 1, n: 1, y: 1, h: 1, m: 2, e: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -8*n + 3*n + 3*n**2 - 2*n**2 + 4*n. Let j(o) = 16*o**2 - 9*o. Let u(w) = -2*j(w) + 18*v(w). Let y(x) = -2*x. Determine y(u(d)).\nAnswer: 28*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 53\/5 of a millennium?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 394? (a) -14 (b) -2\/13 (c) -3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 432807167?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**27*l)\/l*(l\/((l\/(l\/(l\/(l*l**(-3)*l*l))))\/l*l)*l)\/l*l**(-2\/9)\/l*l**(17\/3)\/l assuming l is positive.\nAnswer: l**(283\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0023383837 to 6 decimal places.\nAnswer: 0.002338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1913, -1927, -1941, -1955, -1969, -1983?\n\"Answer: -14*w - 1899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**2 + 4*t**2 - t**2 + (-3*t - t + t)*(3*t + 14*t + 26*t).\nAnswer: -130*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 + 8)\/(4\/(-6)). Suppose -2*q - 3*f - 13 - 23 = 0, -2*q - 40 = 4*f. Let d be q\/(-10)*(-10)\/h. Which is greater: 5 or d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**5 - 3740*n**4 + 680430*n**3 + 7087300*n**2 + 17955125*n = 0. Calculate n.\nAnswer: -5, 0, 379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1583890 times -0.5\nAnswer: -791945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32976 and 49464?\nAnswer: 98928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d**3 + 3495*d**4 + 3467*d**4 - 6943*d**4 + 3*d**3 + 5 to the form g*d**3 + z*d**4 + j + h*d + k*d**2 and give z.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -84, 4, 1691, -81 in decreasing order.\nAnswer: 1691, 4, 1, -81, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1271878.\nAnswer: 2, 635939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 535*i**4 - 4*i**2 - 8 wrt i?\nAnswer: 12840*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 282924 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s**3 - 2*s + 1. Let f be p(1). Suppose 1507 + 2848 = 152*y - 8413. Suppose y = f*j - 656. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.025003 - 0.02548026. Round c to five dps.\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/9 and 61\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -19621*f**2. Let q(z) = 2*z**2 + 14*z. Give q(t(i)).\nAnswer: 769967282*i**4 - 274694*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41408 and 64.\nAnswer: 41408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*u + 8*u - 43, 4*x - 131 = 5*u. What is the remainder when x is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6179.6 and 0.0778.\nAnswer: -480.77288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q**2 - 130*q**3 - 124*q**3 + 253*q**3.\nAnswer: -q**3 - 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 10*f**2 - f + 50. Give w(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4}. What is prob of sequence uuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 109948?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*q + 16*q + 2294 - 8234. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/10*(6 - (42\/(-48) - -5)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 330*p**2 + 6772*p - 2380. Calculate u(-308).\nAnswer: -1148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2572160, -5144318, -7716476?\n\"Answer: -2572158*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2808325901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Convert 7.95417nm to kilometers.\nAnswer: 0.00000000000795417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52 - 31 + 0*z - 4*z - 2*z + 3*z to the form m + r*z and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -2\/5 (c) 581800 (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-28) + 1468\/3752. Which is bigger: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62\/7*y**2 + 2\/7 + 4*y + 32\/7*y**3 = 0.\nAnswer: -1\/16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1.2. Let m = 46\/13 + -164\/39. What is the nearest to m in -0.8, z, -3?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.005 - 0.205. What is the third biggest value in -0.04, 0.04, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 704.22 - -7.78. Let d = -707 + a. Sort -2\/15, -6, d.\nAnswer: -6, -2\/15, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*k - 44*k + 252*k - 59*k - 52*k - 43*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 108*y**2 - 10*y + 14. Let q be 120\/(-30) - (-8)\/1. Let t be w(q). What is the highest common divisor of 74 and t?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 43742, 176298, 397678, 707882, 1106910, 1594762, 2171438?\n\"Answer: 44412*r**2 - 680*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -98834*b**2*n**2*p + b**2*n**2 + 8*n**2*p + 198*n**2 + 8*n*p + 3*n wrt b?\nAnswer: -197668*b*n**2*p + 2*b*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2013983250 to the nearest integer?\nAnswer: 1263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19463 is divided by 68?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -17*x**2 - 632*x - 22. What is the tens digit of i(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87680502 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -829*i - 15745. Determine w(-19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 8*a - 7. Let n(d) = -d**3 - 6*d**2. Let c be n(-6). Suppose -m = -4*v - 31, c = -3*m - 3 - 0. Give s(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1000010110100?\nAnswer: 1000010110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 101198*w**2 + 4232 - 50616*w**2 - 50609*w**2 - 10*w wrt w.\nAnswer: -54*w - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -5, -886\/5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + 102837 - 9*z - 103003.\nAnswer: -9*z - 166","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(3\/7)\/a*a**(-6)*a)**(-31\/2) assuming a is positive.\nAnswer: a**(496\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*m + 4*m**3 + 575153*m**2 + 15 - 5*m**3 - 575151*m**2 - 113.\nAnswer: -(m - 7)*(m - 2)*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -73*n**5*t - 651*n**2*t - n**2 - 13*n*t - 496*n + 13 wrt n.\nAnswer: -1460*n**3*t - 1302*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**4 - s - 83*s**2 - 20 + 81*s**2 + 0*s**4 in the form f*s**2 + g*s**3 + a + d*s**4 + x*s and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25, 43, 57, 67, 73, 75?\n\"Answer: -2*j**2 + 24*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 75.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 7*o - 7*g = -18, -21*o + 10*o + 34*g - 216 = -13*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1317 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 9279*u - 1818467. Give g(192).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2964697 a multiple of 1035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 3*o**2 - 4*o - 1. Let r(s) = 5*s**3 - 12*s**2 - 18*s - 4. Let w(v) = 9*c(v) - 2*r(v). Give w(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (-34 - (-120)\/6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4925850 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38965 - 48067.5. Let n = 9083.5002 + t. Let k = n + 19. What is k rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1366920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -25\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 66 = -n. Let p = n - -96. Let y be 4\/(-2)*(-6)\/p. Solve 2*z = -y*d - 15, -2*z - 5*d = -0*z + 21 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113734, 113739, 113748, 113761, 113778, 113799, 113824?\nAnswer: 113853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -78 - 9*c - 37*c + 24. Let s(x) = x**3 - 4*x - 5. Let n be s(-2). List the prime factors of t(n).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/5)\/((-264)\/(-66))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/13790524 and 3\/20058944.\nAnswer: 220648384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6*t + 4*c - 1077 = 0, -5*t + 2*c + 1795 = 0. Calculate the remainder when t is divided by 92.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 5)*(5*j - 2*j**2 - 13*j - 124*j**3 + 8*j) in the form b*j + w + n*j**3 + v*j**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7799, -7040, -4959, -890, 5833, 15876?\n\"Answer: 111*u**3 - 5*u**2 - 3*u - 7902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**4\/12 - 53*n**3\/6 - 48*n**2 + 2*n - 11. Is 10 a factor of q(-46)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/949, 18, -3\/4, -2\/11?\nAnswer: 2\/949","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.572953 decades in centuries?\nAnswer: 0.4572953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8828148\/13 < 679089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*y**4 - 186*y**2 wrt y.\nAnswer: 600*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2713204 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -286 + 959. Suppose -k = -4*s + 1073, -k + 390 = 4*s - o. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 38*t - 2. Let i(m) = 1. Let s(l) = 2*i(l) + 2*u(l). Let g(w) be the third derivative of -w**4\/12 - 51691*w**2. Give g(s(x)).\nAnswer: -152*x + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1602.62 to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooomooooomooooooo. Give prob of sequence oo.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6695 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7508 and 10963557?\nAnswer: 1877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = -4*y - 45. What is the second derivative of -y*c + c + 4*c - 11*c**5 wrt c?\nAnswer: -220*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19887 = 5*k + c + c, -3*c + 7946 = 2*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 1\/5, 155, 1\/2, -2.89 in decreasing order.\nAnswer: 155, 3, 1\/2, 1\/5, -1, -2.89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1063, -3554, -7651, -13354?\n\"Answer: -803*b**2 - 82*b - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1250*v**3\/17 + 9770200*v**2\/17 + 1563208*v\/17 + 62528\/17 = 0.\nAnswer: -7816, -2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, x: 2, u: 1, f: 2, n: 1}. Give prob of sequence nff.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 19\/4 of a hour?\nAnswer: 17100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/27)\/(534\/7209).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**4 + 356*w**3 - 9256*w**2 + 55936*w - 99456 = 0.\nAnswer: -111, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -4. Let o = -112\/5 - -116\/5. Let s be (-24)\/16*(-2)\/(-12). What is the closest to r in o, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 30 = -2*u. Let k(a) = -2*a - 1 - a**2 + a**3 + u*a - 2*a + a. Give k(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229000 rounded to the nearest 10000?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 1163949768?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2) + (sqrt(2) - (1 + (sqrt(72) - sqrt(2) - sqrt(2))**2)) - (-2 + sqrt(2)*3)**2).\nAnswer: -56*sqrt(2) + 220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and 13.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgwaapppmppa. Give prob of picking 1 p and 1 a.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2479 + 8687. What are the prime factors of d?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2752513861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1171742 times -0.3?\nAnswer: -0.03515226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 457786 - 114857. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence joo when three letters picked without replacement from jjjjjjojjooojjjojj?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + -1*sqrt(78)*-3)\/sqrt(6) + (5 + sqrt(1573) + -2)**2.\nAnswer: 70*sqrt(13) + 1582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 + -36. Let i = -11.8 - -12. What is the smallest value in i, u, 0.18?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 - 2*o - 3. Let k be t(3). Suppose 0 = -k*j + 13*j. Solve j*b = b + n + 3, -27 = -b + 5*n for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4359 - 4343. Solve -59 = -15*r + z for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3510 and 914030?\nAnswer: 24678810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -493 + 511 + (-1 - (-1 - -3))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 293142456 to the nearest integer?\nAnswer: 17121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 24588959 to the power of 1\/2, to the nearest integer?\nAnswer: 4959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-714))\/(0 - (-12)\/(-633)). Let o = y - -1\/102. Which is the smallest value? (a) o (b) -2\/9 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1992843 divided by -664281.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h - 39 = 33 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -0*m - 4*q - 251, 3*q - 105 = -2*m. Calculate the remainder when m is divided by (48\/(-9))\/4 - (320\/(-15) - -2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-4*4*(-5 + (3*sqrt(2057) - sqrt(2057))*-3)*-3)**2 + 0.\nAnswer: 38016000*sqrt(17) + 4266835200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 2*u. Suppose 0 = -0*n + 3*n - 6. Suppose -2 = -n*a + a. Let h be o(a). Solve h = 3*g - g - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 186 + -111. Let q be (g\/(-12))\/5*-4. Let h(c) = 7*c - 5. Let n(b) be the first derivative of -10*b**2 + 14*b - 9. What is q*n(r) + 14*h(r)?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.4 - 1.8. Let f = 6305048 - 6305044.400047. Let j = c - f. What is j rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 11*x**2 - 2*x - 12. Let r be c(-9). Suppose 0 = 53*p - 86*p - 5115. Is r less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 - 0. Let u = 1.82 - 1.62. Which is the closest to u? (a) 0.1 (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.6 > -4468.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-4368)\/130*(-85)\/(-68)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/3*(22 + -1). Let q = d - -41. Find the third derivative of m**2 + m**4 + q*m**4 - 8*m**4 - 19*m**2 wrt m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -67, -9, 0, 3 in decreasing order.\nAnswer: 3, 0, -3, -4, -9, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*f - 288 = -73*f + 372 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) - (sqrt(75) + 2 - sqrt(75) - sqrt(75))**2) + sqrt(75) - (sqrt(3) + (sqrt(48))**2)*3.\nAnswer: -223 + 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*j - 5*t, -6 = -2*j - 4*t + 14. Let q(y) = -2*y**2 + 5*y + 3. Determine q(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1653\/2204*(-28)\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1889149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q. Let t be l(-1). Let k = 6 - t. Let z(c) = -1. Let v(x) = 2*x**3 + 2*x**2 + 6. Let u be ((-18)\/(-4))\/((-2)\/(-16)*6). Determine k*v(r) + u*z(r).\nAnswer: 2*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j**2. Let b(w) be the second derivative of 5*w**4\/12 + 6*w. What is b(x(f))?\nAnswer: 80*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 69991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 16*w = 42. Does 6 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/33183 or 15.11?\nAnswer: -2\/33183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6754, -12251, -17762, -23287?\n\"Answer: -7*h**2 - 5476*h - 1271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 439849 times 0.15?\nAnswer: 65977.35","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve u**3 + 43002185*u**2 = 0 for u.\nAnswer: -43002185, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15714, 15712, 15710, 15708, 15706, 15704?\n\"Answer: -2*b + 15716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-1\/2)\/v)\/v*v)**16)**(2\/9)\/((v*v**(1\/4)*v)\/v*v*v*(v*v*v**(-2)*v)\/v*(v**1*v)**48) assuming v is positive.\nAnswer: v**(-3637\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**4\/8 + 8*p**3 + 1579*p**2. Calculate z(20).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5598 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003311 to seven dps.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.8043 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.9 - -10. Let p = 1.4 - c. Let w = 0.1 - 0.1. Which is smaller: w or p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 11:11 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 2:28 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 5.8392. What is b rounded to 2 dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4*x - x + 2*x)*(21*x - 110*x - 34*x)*(0 + 0 + 1).\nAnswer: 369*x**2 + 123*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1524, -1515, -1502, -1485?\nAnswer: -1464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f + 63. Calculate l(-28).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + 31 + (-22 - -56)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**4 + 18 + 10*h + 21 - h**2 - h**4 - 38 in the form l*h + r*h**3 + c*h**4 + x + n*h**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73925184 is divided by 334503.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h - 3 + 3)*(35751*h - 35752*h + 11*h**2 - 1 + 5 - h**3) to the form g*h**2 + v + w*h + m*h**3 + x*h**4 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22004187 to the power of 1\/3, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*c - 434 = -0*h, h - 178 = -5*c. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 3*s**2 - 1086*s + 1083 = 0.\nAnswer: 1, 361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.08 - -0.46. Let z = c - 0.539959. Round z to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 2*p + 13305, 3*x - 381*p - 13299 = -377*p. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2))\/c**2*c**(-5)\/c*c\/(c**(-5)\/c)*c)\/((c**1*c)**40*c**(-3\/8)\/c**(-1\/8)) assuming c is positive.\nAnswer: c**(-323\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 2 + -2 + sqrt(19) + sqrt(171)*1)**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 233.0000088 - 233. Round l to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4 = -0. Find the second derivative of 7*f**2 - 2*f + j*f + 0*f wrt f.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (4 + -3)*10. What is the hundreds digit of 10\/y*(34*-5 - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/29 and -44\/6709933.\nAnswer: 6709933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 167 = 170, 3*q + 3*y = -6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -14677 less than or equal to -14677?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -u, -4*u = -7*m + 2*m + 1. Let g = 9307\/1026 - 172\/19. Which is smaller: m or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 52 and 26.012.\nAnswer: 78.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -29755928 = -29755925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2816*v - 1411*v + 0 - 9 + 13 - 1403*v.\nAnswer: 2*v + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3 = 0, 2 + 41 = 4*z + 5*r. What is the remainder when 48 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 450 and 634440150.\nAnswer: 634440150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**2 + 7472*h + 52471. Calculate j(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8221 + -1520883\/185. Sort 1\/10, l, -0.6 in decreasing order.\nAnswer: 1\/10, l, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(4*r**3 - 3*r**3 - 4*r**3).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 7, -3, 71\/3 in decreasing order.\nAnswer: 71\/3, 7, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 32*c**2 - 60*c + 20. Let l(o) = -o**3 + 3*o**2 + 13*o. Let y be l(6). What is the units digit of u(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16500 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 143926 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**1\/w))**(20\/7)*(w\/(w\/(w*w*w**0*w)*w))\/w**6)\/(((w\/w**(2\/3))\/w)**(3\/16))**(-1\/3) assuming w is positive.\nAnswer: w**(-97\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 53*r**2 - 1590*r - 211*r**2 + 1590*r. Let w(t) = -t. Calculate w(n(j)).\nAnswer: 158*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1812*i**3 - 3*i**2 - 227631*i wrt i?\nAnswer: -10872*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3877 from -37068.\nAnswer: -33191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**3 - g - 4. Let z(o) = -9*o**3 + o**2 + 2*o + 11. What is -11*h(v) - 4*z(v)?\nAnswer: 3*v**3 - 4*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34 - 86418*v + 0*v**2 - 2*v**2 + 86382*v.\nAnswer: -2*(v + 1)*(v + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 + -1a1?\nAnswer: -1b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - 1*(1 + sqrt(3))) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 254 - 44. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -662 = 3*s - 188. Let y = 178 + s. What is the lowest common multiple of y and 15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 - 106. Let x = -27 - g. What is the units digit of -1 - x*(3 + -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 597159?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/6 - 19\/14. Which is bigger: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 0.9 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (2 - 2) + -38. What is the units digit of (-285)\/f*(-4)\/6 + 89?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 2\/5 (c) 24 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10222011210102 (base 3) in base 14?\nAnswer: 3ccb1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -221 + 664\/3. Let d(i) be the first derivative of 0*i**2 + i - c*i**3 + 1 + i**4. What is d(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5 = -125. Let m = 28 - y. What is the third derivative of -w**5 - 4 + m + 0 - 7*w**2 wrt w?\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.1 - 22.74. Let z = i - -1.64. Are z and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ivii when four letters picked without replacement from vvvvvviiiiiv.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1, 0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 34561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61581 divided by 1579.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1810402 and 3146.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 3*j**2 + 6*j - 2. Let q be g(4). Let u be 26\/q + 6\/(-18). Suppose u*k = k + 156. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16147675?\nAnswer: 5, 645907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 669500132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) -17 (c) -35 (d) 4 (e) 0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5 + 20*n - 8*n - 5*n**2 + 2*n**2 + 2*n**2. What is y(8)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 710.56 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -103*q**2 + 6907*q - 399. Determine t(67).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*o - 648 = 21*o - 12*o for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-3)*o**(-2\/33)\/o)\/(o**(2\/11)*o*o**(-4)))\/((o*o**(-3))\/o**1*(o**(-2\/11)\/o*o)\/(o*o**(-2\/15))) assuming o is positive.\nAnswer: o**(628\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 55 + 89. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.18, 0.3, -3, 24\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -478 - -523. What is the least common multiple of 85 and r?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, b: 1, k: 2}. Give prob of sequence cbkk.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -877.1028 + 880. Round q to 1 dp.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 126667*p**4\/4 + 17*p**3\/6 + 8*p**2 + 65*p - 2. Let c be x(-1). Round c to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a meter in millimeters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(143)*2 + (sqrt(143) + (4*sqrt(143) - sqrt(143)))*-4)\/((2*sqrt(22))\/sqrt(2) + sqrt(1100)*-2).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 4*k + 7. Let l(b) = -b**3 + 10*b**2 - 10*b + 4. Let a be l(9). Let r be w(a). Solve -r*z + 7*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1*-1*(-8)\/((-48)\/(-498)) is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 158 + -243. Let u = -8774.146845 - -8689.14684539. Let c = i - u. What is c rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 4*o - 359, -3*h + 8 = -3*o - 202. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 4*n**2 - 5*n + 7. Let o be y(5). Let v be (1 - 1) + -1 + 2. Suppose -o = -4*p + v. Solve -p = -q + 3 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 + 416*x**3 + 46846*x**2 + 745056*x + 3207681.\nAnswer: (x + 9)**2*(x + 199)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -528 (base 9) in base 8?\nAnswer: -657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3120 - 1332132?\nAnswer: -2001312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 612 and 31348?\nAnswer: 282132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20513 and 3523418?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 384 and 316?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -2*g + 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3540 + 0.3?\nAnswer: -3539.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and (-936)\/(-42) + (-2)\/7?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 17. Let n = w - -12. Suppose n*g - 9 = 1. Solve -2*y = g*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.288959 rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 3) + 1*7. Suppose -c*r - 11919 + 275939 = -3*p, 0 = 4*p + 2*r + 351990. What is p rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.562571 milliseconds to minutes.\nAnswer: 0.00027604285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-15))**(-12))**(-29))**(-46) assuming l is positive.\nAnswer: l**240120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -58179 + 4658*h - 58180 + 116358 + 1522*h in the form r + u*h and give u.\nAnswer: 6180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -13*s + 1\/2*s**4 + 4\/3*s**3 - 112 + 0*s**2. Let o(q) = -q**3 - 2*q**2 + 6. Give -6*m(p) - 13*o(p).\nAnswer: p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91926 and 1848734?\nAnswer: 16638606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58639424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 + 0. Let k = b - -96. Suppose 2*v = -3*v + 5*g + k, -3*v + 64 = 5*g. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -801 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.055 and -471.\nAnswer: -1438.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -5 + 3, -g = -5*q + 13166. Let p = q - 1155. What are the prime factors of p?\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nan when three letters picked without replacement from {a: 17, n: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2 - 0.9. Let p = -3.9 - z. Let j = p - -1.7999959. What is j rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 521741 and 176?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 + 87*b + 383. Calculate l(-39).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5075? (a) -8\/15 (b) 15 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -e4d9 (base 15) to base 2\nAnswer: -1011110011100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 408874943*n - 413715970?\nAnswer: 408874943","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 70 = -4*o - 209, 4*o + z + 259 = 0. Let i = 101 + o. Calculate the remainder when i is divided by 18*(2 - 4\/3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 91, 241, 383, 511, 619, 701, 751?\n\"Answer: -n**3 + 2*n**2 + 151*n - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6224470 and 441?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4111 - 2563. What are the prime factors of l?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 26 = 4*m. What is the smallest common multiple of (-38)\/(-4) + m\/(-8) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 3*v - 3. Let r be s(4). Suppose -p + 1 + r = 0. Differentiate -p + d**2 - 5*d**2 + 2*d**2 wrt d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/6 (b) -1\/9 (c) -1 (d) -2\/5 (e) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 478.9999 - 479. What is b rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -187028*o. Let u(v) = v. What is f(u(b))?\nAnswer: -187028*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 974.149cm?\nAnswer: 0.00974149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54113)\/1021)\/(4\/(-4))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1606 = 15*p + 1756 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37.666 + -35.666. Which is the closest to -3? (a) -40 (b) -0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -24*o**2 - 12*o - 8. Let f(v) = -v**2 - 2*v - 1. Let g(w) = 5*f(w) - s(w). Calculate the remainder when g(-3) is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 64*s**2 - 2. Let y(a) = a**2. What is y(d(k))?\nAnswer: 4096*k**4 - 256*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dpu when three letters picked without replacement from {r: 7, p: 1, t: 2, l: 1, u: 1, d: 2}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y**2 - 2*y - 2. What is p(-2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 b, and 1 s when four letters picked without replacement from bobuususussosusbboo.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-308)\/231 - 84\/(-9). Solve -u*z = a - 12*z + 14, 5*a = z - 13 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 993474 is divided by 8948.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o**2 - 4*o - 9. What is the remainder when h(-4) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/216 and 17\/6?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402246 is divided by 664.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 6:49 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-386463)\/93688*12\/(-110)?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8673\/4 - 4339\/2. What is the nearest to -0.1 in x, -2\/41, -2, 2?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101001101 (base 2) to base 15\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l - 63*l - 9 - 79 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9742053 divided by 1\nAnswer: 9742053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 3*k + 2. Let f be c(2). Let t be (0 + 1\/2)*f. Solve 0*z + 5 = -z, -t*m = -5*z - 19 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17397 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 97037, 193765, 290493?\n\"Answer: 96728*z + 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 252 divided by -21\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 82\/(-6) + 24\/(-18). Let z = c + 13. List the prime factors of z\/(-3) - (-388)\/12.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33671499193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4913 - -2394. List the prime factors of t.\nAnswer: 7307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z + 0*z**2 + 8*z + z**2 - 2. Let r = -27 - -31. Let o be -5 + ((-8)\/r)\/2. Give a(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10903, 37566, 82003, 144214, 224199, 321958, 437491?\n\"Answer: 8887*h**2 + 2*h + 2014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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 next in -776, -3835, -9302, -17177?\nAnswer: -27460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -322, -321, -320, -319?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 11:17 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 38*g**3 + g**2 + 2*g + 2. Let k be a(-1). Let l = 37 + k. What is the tens digit of 97 - -9 - (-1 + l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 23\/1966, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 11 = -4. What is the units digit of (-7)\/49 - 71*(-1)\/n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/2))**11 assuming b is positive.\nAnswer: b**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 - 6047?\nAnswer: -6040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 18*j - 56*j + 39*j + 35*j. Let b(g) = 5970*g**2. Determine s(b(w)).\nAnswer: -35640900*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 317801 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2619 - 2606. Solve 4*f - 4*y + 28 = -0, -f - 4*y + n = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16688 (base 12) in base 7?\nAnswer: -162335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.104 - -26.104. Let s = 25.5 - g. Let m be 2\/10*(-2)\/4. Which is the third smallest value? (a) -1 (b) m (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*g + 5*g = -4, g - 16 = 4*q. Let f be (3\/q)\/(5\/(-180)). What are the prime factors of f*(-4)\/(-3) + -1?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 102\/84*35\/(-10) and -107\/902.\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3527, -7091, -10717, -14405, -18155?\nAnswer: -21967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2854215*v**3 + 41*v - 5834 wrt v?\nAnswer: 17125290*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 12. Suppose -2*j - 3*j = c, 0 = -3*c + 3*j + 90. Let p be 2\/5 + 215\/c. Let t be h(p). Solve y - 6*y = -3*g - 37, 2*y = -t*g - 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-384)\/(-960))\/((-1)\/30)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b**3 + 5*b**2 + 25*b - 25*b**2 + 18*b**2 - 1)*(0*b + 7*b - 2*b)*(-5 + 2 + 2) to a*b**3 + q + l*b**4 + s*b**2 + h*b and give s.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*15\/(-18)*2. Suppose -k*x + x = -16. Let a be (-4)\/(-18) + x\/(-18). Solve a*h + 20 = 5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 0.071.\nAnswer: -0.0071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**3\/2 + 5*u**2 + 25*u\/2 - 15 = 0. Calculate u.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1096 and 452.\nAnswer: 123848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 10*s - 8. What is y(10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 37*k + 301. Determine a(-17).\nAnswer: 641","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -2695558.\nAnswer: -1078223.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 177 + -175 - (5 + (-9 - 6))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16650, 68717, 155496, 276987?\n\"Answer: 17356*t**2 - t - 705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -866.6.\nAnswer: -870.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 4:13 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -48*g + 1010. What is t(23)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l. Let v(d) = 89069418*d**2 + 179070*d - 208915. Let m(w) = 5969*w**2 + 12*w - 14. Let u(i) = 119380*m(i) - 8*v(i). Give u(a(b)).\nAnswer: 95504*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 139*k. Let u(c) = 2*c + 225934. Determine u(d(m)).\nAnswer: 278*m + 225934","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 435 - 190. Let u be (-3780)\/v*1\/(-2). Solve 3*f**3 + 60\/7*f - 24\/7 - 3\/7*f**4 - u*f**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -11*u. Let p(g) = 24*g**2 + 23*g**2 - 48*g**2. What is h(p(x))?\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12022 - 12027. What is the third smallest value in q, 0.19, -1\/7?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((b*b*b\/(b*b*b\/((b**(3\/2)*b)\/b))*b)\/b)\/b)\/b)**14)**(4\/19) assuming b is positive.\nAnswer: b**(-28\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 298*v**3 + 13*v**2 + 16*v + 2. What is c(-1)?\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (32\/20)\/((-6)\/(-10)). Let d(k) be the second derivative of -p*k**3 + 1\/3*k**4 + 0 - 14*k - 10*k**2. Factor d(y).\nAnswer: 4*(y - 5)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35704 is divided by 1622.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 291499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v + 63. Is 3 a factor of z(24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2171, -2168, -2157, -2132, -2087?\nAnswer: -2016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 4 (c) -0.3 (d) -1\/5 (e) -228\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 853720, 853719, 853718, 853717?\nAnswer: 853716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/24 - (-67)\/6. Let k = i + -11. Solve -z = -k*z + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 9*k - 6*k - 236 = 0, -4*k + 23136 - 23195 = -2*r - 3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7734, 62248, 210264, 498534, 973810?\n\"Answer: 7792*v**3 - v**2 - 27*v - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1982704 to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.053821 + 25262.946179. Let w = 25262.900024 - y. Let r = 0.1 + w. What is r rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 6 = -9*p. Let s(j) = -3*j**3 + j**2 - 4. Let u(v) = -3*v**3 + v**2 - 3. What is p*s(w) - 4*u(w)?\nAnswer: 3*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7*s**2 - 1013*s + 10942. Determine b(133).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 27071\/4, -5, 1\/51?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -13. Let k be 16\/(-10)*a\/4. Differentiate -i**k + 0 + 3 - 2 with respect to i.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 391041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90763.\nAnswer: 17, 19, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 - 93*z**2 + 5394*z + 2720.\nAnswer: -(z - 34)*(z + 80)*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.104 in -2\/5, -0.95, -0.5, 1, -1\/16, 4\/25?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + s - 2. Let j be z(-2). Let n = 17 + -16. Let r = n - -2. Sort j, 5, r in descending order.\nAnswer: 5, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, d: 5, h: 1, w: 3}. Give prob of picking 1 d and 2 w.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 109026 and 8478?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*z, 3*s = s + 2*z + 6. Let q(i) = -2 + s - 7*i**2 + 1. Let a(p) = -2*p**2. Calculate a(q(l)).\nAnswer: -98*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -167 + 82. Let g = h - -97. Suppose 0 = -8*l + g*l - 8. Solve l*s - s = -5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1000571 * 5.\nAnswer: 5002855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12411.4 from -23101.\nAnswer: -10689.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - 1b?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**(1\/5)\/m)\/m)\/m**(-4))\/(m**11\/(m*m**(2\/15))))**(-13\/6) assuming m is positive.\nAnswer: m**(299\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttntnttnn. Give prob of picking 1 n and 2 t.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*p + 14 = 0, -2*p = -1 + 5. Let d(l) be the second derivative of -l**4\/12 - 2*l**3\/3 + l. What is d(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*l - 5*w, 0 = -2*w - 3*w - 5. Solve 0 = -4*s - 0*s + l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5b60 (base 12) to base 6\nAnswer: 115400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(1 + (-42)\/46). Suppose -2*z + 4 = 0, 4*r - r + 2*z = o. Suppose 7 = 2*l - 1. Solve 0*a = 5*a + 15, r = -j - l*a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 0*m - 3*m**2)*(-7*m - 8*m + 2*m) + 94*m**3 + 9*m**3 + 29*m**3.\nAnswer: 171*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 - 4*z**3 - 2*z**3)*(-3 - 2*z + 3 - 12*z + 16*z - 12*z + (2*z + 2*z - 3*z)*(1 - 2 + 2) - 2 + 2 - 2*z).\nAnswer: 33*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 882 and 1394848.\nAnswer: 87875424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -8*x**3 + 5*x**2 + 4*x + 5. Let f be v(-3). Suppose -4*w + f + 58 = 0. List the prime factors of (0 + 16\/(-12))*w\/(-4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511 = -2*y - 6*q + 533, -5*q = -2*y - 33 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 194*r**2 - 388*r + 4. Let s be b(2). Let y(n) be the first derivative of 1\/2*n**s + 0*n**2 - 21*n + 6 + 0*n**3. What is the derivative of y(q) wrt q?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 8*c**2 + c - 2. Let z(s) = 12*s**3 + 108*s**2 + 5*s - 12. What is -6*u(b) + z(b)?\nAnswer: 6*b**3 + 156*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**6\/k**(-4))\/((k\/k**1)\/(k\/(k**0*k))) assuming k is positive.\nAnswer: k**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*l**3 - 13*l**3 + l - 32*l**3 + 4*l**2 as q*l + a*l**3 + z + o*l**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a millimeter in micrometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/139304550 and 9\/530684.\nAnswer: 278609100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1986*c**4 - 12*c**3 + 327681396.\nAnswer: -7944*c**3 - 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60 by -3.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -31 + -18a409?\nAnswer: -18a43a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127186 is divided by 50?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 10*c + 3. Let l = 4 + -13. Let b be n(l). Suppose -a + 0*a + b = 0. Calculate the remainder when 47 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 9. Let v be q(8). Let o be v*(2 + -1) + 1. Solve -4*h + 24 = 4*c, 5*c - 2*h - 2 - 7 = o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5428, 21551, 48398, 85969, 134264, 193283?\n\"Answer: 5362*t**2 + 37*t + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**41)\/x*x**(-21)*((x*x**(16\/7)\/x)\/x)\/(x**(-3\/5)*x) assuming x is positive.\nAnswer: x**(731\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 89371830.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 - 45.94. Let o = 18.8 - 19. What is the third biggest value in o, s, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 31458375 - 31458375 + 2*u**2. Let j(y) = -222*y + 1. Calculate n(j(a)).\nAnswer: 98568*a**2 - 888*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1176 is divided by 32.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2912095 a multiple of 727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 20 = -8*d. Suppose -98 = -4*j - 0*j - 2*q, 0 = d*q + 12. Is j a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, j: 2, h: 9, g: 3}. What is prob of sequence jv?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1540 divide 297383569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18, -802, -2122, -3990, -6418?\n\"Answer: -2*c**3 - 256*c**2 - 2*c + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 6*r - 4*r)*(4*r - 3*r + r)*(-2*r**2 - 1801 - 215*r + 1801 + 23*r).\nAnswer: -8*r**4 - 768*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/6*(-4)\/6. Let k = u - 1\/6. Which is the second biggest value? (a) 0.4 (b) 0.1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4934 + -4713. Calculate the greatest common factor of m and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 11. Let r be 7\/(-2)*(-6)\/210. Which is the nearest to r? (a) 0 (b) u (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = -j + r, -83 - 445 = 4*j - r. Let g = j - -929\/7. What is the second smallest value in g, -2, 2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3948876 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 152 divided by 1\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 181 - -256. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14726293709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-56)\/(-35)*(-5)\/6*-3 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 9*c - 2. Let u be (-8)\/10*30\/(-12). Suppose -28 = -4*o - u*x, 0*o - 3*o + 20 = 2*x. Calculate the least common multiple of j(6) and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000721 rounded to 7 dps?\nAnswer: 0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2014, -12331, -37432, -83791, -157882, -266179?\nAnswer: -415156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 14*b - 152. Let s be p(11). Solve 1\/5*i**5 + 1\/5 - 2\/5*i**s - 2\/5*i**3 + 1\/5*i**4 + 1\/5*i = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*w - z, -z - 205 + 247 = 5*w. Let b = -0.8 - 1.4. Let v = 2 + b. What is the second biggest value in 2\/7, w, v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15506979 and 3782190?\nAnswer: 155069790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.36809369 from -6.2.\nAnswer: -4.83190631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-4\/5)*f\/f**(-2\/5)*((f*f\/(f*f**2))\/f)\/(f*f*f**(-6\/7)*f*f*f))**4 assuming f is positive.\nAnswer: f**(-636\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 145, 300, 465, 646, 849?\n\"Answer: v**3 - v**2 + 151*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-15)*(-2)\/8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17840 = -2*x + o, 18*x - 35688 = 14*x + 4*o. What is the hundreds digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 v, and 1 i when four letters picked without replacement from vjcjvij.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(108) + -1 - sqrt(108))**2 + -5 - (-5*-1*sqrt(108) + sqrt(108))**2) + 5)*-2.\nAnswer: 7776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1397196 is divided by 560.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 2*w + 20, -475*m + 472*m - 2*w + 12 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 2.337?\nAnswer: 1.1685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -25*q - 1. Let m(j) = 24*j + 1. Determine -2*b(f) - 3*m(f).\nAnswer: -22*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-5))\/((-3)\/20). Let o be 6\/v*(-136)\/51. Factor 8*y - 4 + 12*y**o - 2 + 4*y**3 + 6.\nAnswer: 4*y*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2961 in -17, 28, 5?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 100*u**4*z + u**3*z**3 - 11*u**3 - 2*u**2*z**3 + 161*z**2 wrt u.\nAnswer: 2400*u*z + 6*z**3 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42.1 + 42. Let u = 90.5 - 90. Which is the third smallest value? (a) 3 (b) u (c) -2 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2496*t - 2 - 1393*t + 2635*t)*(-4 + 0 + 5) to the form u*t + h and give u.\nAnswer: -1254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 - 269?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7345 is divided by 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) - (sqrt(245) + 3*sqrt(245)) - sqrt(245))\/sqrt(7) - (sqrt(35) - sqrt(4235)*-1))\/(2*sqrt(2880) + (1*sqrt(4500) - sqrt(45))).\nAnswer: -16*sqrt(7)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 2*x + 9.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1450872.44 rounded to the nearest 10000?\nAnswer: 1450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (8 - 12)) + (-22 - -6 - -1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 4*k + 2*i, 5*k + 29 = i + 13 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/40*15\/(-2). Which is greater: -7 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 0. Let n be 6\/24*(-32)\/10. Let p = -5 - -4.6. Which is the smallest value? (a) p (b) n (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131.9 rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 6314*a + 32 - 20 - 25507*a + 23. Let c be b(-5). What is c rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4686165*f**4 - 4*f**2 - 2*f - 778.\nAnswer: -112467960*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1729 = 14*l - 1757. Let r(a) = -a + 2. Let n be r(-9). Suppose 4*m - n = -31. Which is smaller: m or l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/13 (b) 2 (c) -0.3 (d) 0.3 (e) -3 (f) 313586 (g) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 39 = -3. Let j = 16 + n. Suppose 12*p**3 + 6*p**5 - 3*p**j - 7*p**4 - 7*p**4 + 2*p**4 - 3*p**2 = 0. What is p?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x - 3 + 1 - 5 + 2 - 8*x**2. Let u(k) = -33*k**2 + 9*k - 21. Let c(y) = 21*f(y) - 5*u(y). Determine b so that c(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 12) in base 3?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 5*v = -824 + 851, b - 3*v = -9 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*w - 57*w = 66. What is the remainder when 33 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6603299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 2, -3, -871, -6, -16 in ascending order.\nAnswer: -871, -16, -6, -3, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 25 - 7 = 0. Solve -14 = 2*i + m*k, -3*i = -i + 5*k + 16 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13501 divided by 23\nAnswer: -587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32460 + 3884 = 1504*b for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -175 - -179. Solve 0*b = l*z + b - 20, 10 = 2*z + 3*b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -9. Let i = 0.98 - -0.02. What is the nearest to -3 in i, j, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -0.1, -1, 7, 1\/5, -1\/14?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -12*n + 61. Determine u(7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/3, 56, 0.5.\nAnswer: -1\/3, 0.5, 2, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12431831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**3 + 10*u**2 - 27*u + 18 = 0.\nAnswer: 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(108) + -5 + sqrt(6)\/sqrt(2) + ((sqrt(147)*-4 + 2)**2 - sqrt(147)) + -5)*1 + -1.\nAnswer: -707*sqrt(3)\/6 + 2345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7 - (-1)\/((-9)\/(-92601)).\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 666?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -409*r + 413*r - 3*b - 3, 15 = 4*r + b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/(sqrt(4)*-1) + (sqrt(144)\/sqrt(6))\/sqrt(3))\/(sqrt(400)*1 + sqrt(196)*3 + sqrt(196)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5212.831 rounded to 0 dps?\nAnswer: -5213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233912 is divided by 233793?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -309 - -322. Put -1, -3\/4, z in descending order.\nAnswer: z, -3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48454763*x**2 - 4*x**3 + 48454764*x**2 - 96909527*x**2.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times -8.9\nAnswer: 6.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15570.66481 rounded to the nearest one hundred?\nAnswer: 15600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*w - s = -40*w - 13, -6*s - 12 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c**2. Let o(q) = -50*q**2 + 47*q**2 - q + q. What is p(o(h))?\nAnswer: 36*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 3*t - 1 = 6, -5*t = z - 29 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 7*t**2 - 7*t - 5. Let z be l(8). Suppose 0 = r - 4*r - z. Let u be ((-2)\/(-2))\/(r\/(-12)). What is the highest common factor of u and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160 - 160 - 162 + 642 - 165 + 21*x**2 + 18*x**2.\nAnswer: 39*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 18*j - 1. What is r(2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 10*t - 9. Let z be v(10). Let r = 18 - z. Suppose 0 = -d - 5*j + 28, -2*d - 3*j + r = 2*d. What is the highest common factor of d and 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -305 - -135125?\nAnswer: 134620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o - 16. Let k(n) = -5*n + 33. Let c be -10*(11 + 798\/(-70)). Give c*k(v) + 9*g(v).\nAnswer: -2*v - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1*sqrt(528))\/sqrt(12))\/(sqrt(80)\/sqrt(5) + (sqrt(484) - ((sqrt(484) - (sqrt(484) - (sqrt(484) + sqrt(484)*-1))) + sqrt(484)))).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-181)\/(1991\/154) - (-1*1 + 4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -9. Suppose c + 2*j - 11 = 0, 0 = 5*c - 0*c + q*j - 20. Calculate the greatest common divisor of c and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 269 + 53 = 0. Let w = 134 + c. Suppose 0 = -2*z + 5*g + 44, -7*g + w = 4*z - 4*g. What are the prime factors of z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11830\/2200 + (-54)\/(-198) + 27\/36.\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**4 - 1748*t**3 - 69714*t**2 + 144680*t - 73216 = 0.\nAnswer: -832, -44, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 184, 164, 130, 76, -4, -116?\n\"Answer: -n**3 - n**2 - 10*n + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ncccsmkukkcmsuu. Give prob of sequence kmm.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (-1 + (-1 - 0)). Suppose l*x - 6 = x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -517171*t**3 + 717 + 5*t**2 + 3*t**5 - 11*t**5 + 517156*t**3 - t**4 wrt t?\nAnswer: -480*t**2 - 24*t - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51 - -55)*((-31)\/12 - -2)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -212431331 - 242?\nAnswer: -212432123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 87*z = 90*z - 2, -5*z = y - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/3 (b) 5\/3 (c) 347\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 8 (b) 5 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 9590 - 9586 = 0. Calculate the remainder when 174 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 7*c**3 + 5*c**2 - 5*c. Let b(j) = -4*j**3 - 3*j**2 + 3*j. Let z = 139 + -142. What is z*n(p) - 5*b(p)?\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1779670398 to the power of 1\/3, to the nearest integer?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -3*x + t - 24, 0 = -2*x + 4*t - 6. Let c = -7 - x. Suppose 0 = -c*h - 2. Does -1\/18 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23313 and 26176?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 8*w - 9. Let n be d(6). Let 0*k + 8*k**2 - k - 7*k**2 + n*k = 0. Calculate k.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 93 and 109709?\nAnswer: 329127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 164 + -308. Let j = t + 1590\/11. Which is smaller: -4 or j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -251 - -257. Solve u*w - 2*w = 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5655?\nAnswer: 3, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 = 3*r - 4*p, -132 = -2*r + 16*p - 12*p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*c = 196*c - 1504. Factor -2\/15*p**5 + 0 - 2\/3*p**2 + 4\/15*p + 2\/5*p**3 + 2\/15*p**c.\nAnswer: -2*p*(p - 1)**3*(p + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*h + 46*h + 0*h.\nAnswer: 68*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 7308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3959156 is divided by 6355?\nAnswer: 6346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}